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Article hardware-bus-thm.art

path: "vendor/opentheory/data/theories/hardware-bus-thm/hardware-bus-thm.art"

1152525 bytes
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version
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"="
const
0
def
"->"
typeOp
1
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1
ref
"Hardware.bus"
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nil
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2
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1
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2
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"bool"
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4
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cons
opType
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nil
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6
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cons
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7
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1
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4
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8
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nil
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cons
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constTerm
9
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"Hardware.Bus.connect"
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7
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constTerm
10
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appTerm
"Hardware.Bus.lift2"
const
1
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1
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"Hardware.wire"
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nil
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11
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4
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cons
opType
12
def
nil
cons
13
def
cons
opType
14
def
7
ref
nil
cons
15
def
cons
opType
constTerm
16
def
"Hardware.connect"
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14
ref
constTerm
17
def
appTerm
18
def
appTerm
axiom
19
def
"Hardware.Bus.nil"
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2
ref
constTerm
20
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refl
21
def
appThm
21
ref
appThm
sym
nil
"r"
14
ref
var
22
def
17
ref
nil
cons
23
def
cons
nil
cons
24
def
nil
cons
cons
25
def
nil
"y"
2
ref
var
26
def
20
ref
nil
cons
27
def
cons
28
def
"x"
2
ref
var
29
def
27
ref
cons
30
def
nil
cons
31
def
cons
32
def
nil
cons
cons
33
def
26
ref
0
ref
1
ref
3
ref
1
ref
3
ref
4
ref
cons
opType
34
def
nil
cons
cons
opType
35
def
constTerm
36
def
16
ref
22
ref
varTerm
37
def
appTerm
38
def
29
ref
varTerm
39
def
appTerm
40
def
26
ref
varTerm
41
def
appTerm
42
def
appTerm
"Data.Bool.?"
const
43
def
1
ref
1
ref
"Number.Natural.natural"
typeOp
nil
opType
44
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4
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cons
opType
45
def
4
ref
cons
opType
46
def
constTerm
47
def
"n"
44
ref
var
48
def
"Data.Bool./\\"
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35
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constTerm
49
def
0
ref
1
ref
44
ref
45
ref
nil
cons
50
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cons
opType
51
def
constTerm
52
def
"Hardware.Bus.width"
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1
ref
2
ref
44
ref
nil
cons
53
def
cons
opType
constTerm
54
def
39
ref
appTerm
55
def
appTerm
56
def
48
ref
varTerm
57
def
appTerm
58
def
appTerm
59
def
49
ref
52
ref
54
ref
41
ref
appTerm
60
def
appTerm
61
def
57
ref
appTerm
62
def
appTerm
63
def
"Data.Bool.!"
const
64
def
46
ref
constTerm
65
def
"i"
44
ref
var
66
def
64
ref
1
ref
12
ref
4
ref
cons
opType
67
def
constTerm
68
def
"xi"
11
ref
var
69
def
68
ref
"yi"
11
ref
var
70
def
"Data.Bool.==>"
const
35
ref
constTerm
71
def
49
ref
"Hardware.Bus.wire"
const
1
ref
2
ref
1
ref
44
ref
13
remove
cons
opType
nil
cons
cons
opType
constTerm
72
def
39
ref
appTerm
73
def
66
ref
varTerm
74
def
appTerm
75
def
69
ref
varTerm
76
def
appTerm
77
def
appTerm
78
def
72
ref
41
ref
appTerm
79
def
74
ref
appTerm
80
def
70
ref
varTerm
81
def
appTerm
82
def
appTerm
83
def
appTerm
84
def
37
ref
76
ref
appTerm
81
ref
appTerm
85
def
appTerm
absTerm
86
def
appTerm
87
def
absTerm
88
def
appTerm
89
def
absTerm
90
def
appTerm
91
def
appTerm
92
def
appTerm
93
def
absTerm
94
def
appTerm
95
def
appTerm
absTerm
96
def
41
ref
appTerm
97
def
betaConv
29
ref
64
ref
1
ref
5
ref
4
ref
cons
opType
98
def
constTerm
99
def
96
ref
appTerm
100
def
absTerm
101
def
39
ref
appTerm
102
def
betaConv
22
ref
99
ref
101
ref
appTerm
103
def
absTerm
104
def
37
ref
appTerm
105
def
betaConv
nil
64
ref
1
ref
1
ref
14
ref
4
ref
cons
opType
106
def
4
ref
cons
opType
107
def
constTerm
108
def
104
ref
appTerm
109
def
axiom
nil
"p"
3
ref
var
110
def
109
remove
nil
cons
cons
"q"
3
ref
var
111
def
105
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
36
ref
71
ref
110
ref
varTerm
112
def
appTerm
113
def
111
ref
varTerm
114
def
appTerm
115
def
appTerm
refl
110
ref
111
ref
36
ref
49
ref
112
ref
appTerm
116
def
114
ref
appTerm
117
def
appTerm
118
def
112
ref
appTerm
absTerm
119
def
absTerm
120
def
112
ref
appTerm
betaConv
114
ref
refl
121
def
appThm
119
remove
114
ref
appTerm
betaConv
trans
appThm
nil
0
ref
1
ref
35
ref
1
ref
35
ref
4
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cons
opType
122
def
nil
cons
cons
opType
constTerm
123
def
71
ref
appTerm
120
remove
appTerm
axiom
112
ref
refl
124
def
appThm
121
ref
appThm
eqMp
125
def
sym
126
def
118
remove
refl
111
ref
0
ref
1
ref
122
ref
1
ref
122
remove
4
ref
cons
opType
nil
cons
cons
opType
constTerm
127
def
"f"
35
ref
var
128
def
128
ref
varTerm
129
def
112
ref
appTerm
114
ref
appTerm
absTerm
130
def
appTerm
128
ref
129
ref
"Data.Bool.T"
const
3
ref
constTerm
131
def
appTerm
131
ref
appTerm
absTerm
132
def
appTerm
absTerm
133
def
114
ref
appTerm
betaConv
appThm
0
ref
1
ref
34
ref
1
ref
34
ref
4
ref
cons
opType
134
def
nil
cons
cons
opType
constTerm
135
def
116
ref
appTerm
refl
110
ref
133
remove
absTerm
136
def
112
ref
appTerm
betaConv
appThm
nil
123
ref
49
ref
appTerm
136
ref
appTerm
axiom
137
def
124
ref
appThm
eqMp
121
ref
appThm
eqMp
138
def
sym
128
ref
129
ref
refl
nil
"t"
3
ref
var
139
def
112
ref
nil
cons
140
def
cons
nil
cons
nil
cons
cons
141
def
36
ref
139
ref
varTerm
142
def
appTerm
143
def
131
ref
appTerm
144
def
assume
sym
nil
131
ref
axiom
145
def
eqMp
142
ref
assume
145
ref
deductAntisym
deductAntisym
146
def
subst
112
ref
assume
147
def
eqMp
appThm
nil
139
ref
114
ref
nil
cons
148
def
cons
nil
cons
nil
cons
cons
146
ref
subst
114
ref
assume
149
def
eqMp
appThm
absThm
eqMp
150
def
nil
"P"
3
ref
var
151
def
140
ref
cons
152
def
"Q"
3
ref
var
153
def
148
ref
cons
nil
cons
154
def
cons
nil
cons
cons
36
ref
refl
155
def
128
ref
129
remove
151
ref
varTerm
156
def
appTerm
157
def
153
ref
varTerm
158
def
appTerm
absTerm
159
def
110
ref
111
ref
112
ref
absTerm
absTerm
160
def
appTerm
betaConv
160
ref
156
ref
appTerm
betaConv
158
ref
refl
161
def
appThm
111
ref
156
ref
absTerm
158
ref
appTerm
betaConv
trans
trans
appThm
132
ref
160
ref
appTerm
betaConv
160
ref
131
ref
appTerm
betaConv
131
ref
refl
162
def
appThm
111
ref
131
ref
absTerm
131
ref
appTerm
betaConv
trans
trans
appThm
36
ref
49
ref
156
ref
appTerm
163
def
158
ref
appTerm
164
def
appTerm
refl
111
ref
127
remove
128
remove
157
remove
114
ref
appTerm
absTerm
appTerm
132
ref
appTerm
absTerm
158
ref
appTerm
betaConv
appThm
135
ref
163
remove
appTerm
refl
136
remove
156
ref
appTerm
betaConv
appThm
137
remove
156
ref
refl
165
def
appThm
eqMp
161
ref
appThm
eqMp
164
remove
assume
eqMp
166
def
160
remove
refl
appThm
eqMp
sym
145
ref
eqMp
167
def
subst
168
def
deductAntisym
eqMp
125
remove
115
ref
assume
169
def
eqMp
sym
147
ref
eqMp
155
ref
130
remove
110
ref
111
ref
114
ref
absTerm
170
def
absTerm
171
def
appTerm
betaConv
171
ref
112
ref
appTerm
betaConv
121
remove
appThm
170
ref
114
ref
appTerm
betaConv
trans
trans
appThm
132
remove
171
ref
appTerm
betaConv
171
ref
131
ref
appTerm
betaConv
162
remove
appThm
170
ref
131
ref
appTerm
betaConv
trans
trans
172
def
appThm
138
remove
117
ref
assume
eqMp
171
ref
refl
173
def
appThm
eqMp
sym
145
ref
eqMp
174
def
proveHyp
deductAntisym
175
def
subst
proveHyp
"A"
14
ref
nil
cons
176
def
cons
nil
cons
177
def
"P"
106
remove
var
178
def
104
remove
nil
cons
cons
"x"
14
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var
179
def
37
ref
nil
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cons
nil
cons
180
def
cons
nil
cons
cons
nil
110
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64
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1
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1
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"A"
varType
181
def
4
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cons
opType
182
def
4
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cons
opType
183
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constTerm
184
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"P"
182
ref
var
185
def
varTerm
186
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appTerm
187
def
nil
cons
188
def
cons
111
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186
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"x"
181
ref
var
189
def
varTerm
190
def
appTerm
191
def
nil
cons
192
def
cons
nil
cons
cons
nil
cons
cons
193
def
126
ref
subst
193
remove
174
remove
150
remove
deductAntisym
194
def
subst
36
ref
191
ref
appTerm
refl
189
ref
131
ref
absTerm
195
def
190
ref
appTerm
betaConv
appThm
"p"
182
ref
var
196
def
0
ref
1
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182
ref
183
ref
nil
cons
cons
opType
constTerm
196
ref
varTerm
197
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appTerm
195
remove
appTerm
absTerm
198
def
186
ref
appTerm
betaConv
199
def
nil
0
ref
1
ref
183
ref
1
ref
183
ref
4
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cons
opType
200
def
nil
cons
cons
opType
constTerm
201
def
184
ref
appTerm
198
remove
appTerm
axiom
186
ref
refl
202
def
appThm
203
def
187
ref
assume
eqMp
eqMp
190
ref
refl
204
def
appThm
eqMp
sym
145
ref
eqMp
eqMp
nil
151
ref
188
remove
cons
153
ref
192
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cons
nil
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cons
nil
cons
cons
167
ref
subst
deductAntisym
eqMp
205
def
subst
eqMp
eqMp
nil
110
ref
103
remove
nil
cons
cons
111
ref
102
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
175
ref
subst
proveHyp
"A"
2
ref
nil
cons
206
def
cons
nil
cons
207
def
"P"
5
remove
var
208
def
101
remove
nil
cons
cons
29
ref
39
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nil
cons
209
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cons
nil
cons
210
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cons
nil
cons
cons
205
ref
subst
eqMp
eqMp
nil
110
ref
100
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nil
cons
cons
111
ref
97
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
175
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subst
proveHyp
207
ref
208
ref
96
remove
nil
cons
cons
29
ref
41
ref
nil
cons
211
def
cons
212
def
nil
cons
213
def
cons
nil
cons
cons
205
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subst
eqMp
eqMp
214
def
subst
47
ref
refl
215
def
48
ref
49
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refl
216
def
52
ref
refl
217
def
nil
52
ref
54
ref
20
ref
appTerm
218
def
appTerm
219
def
"Number.Natural.zero"
const
44
ref
constTerm
220
def
appTerm
axiom
221
def
appThm
57
ref
refl
222
def
appThm
appThm
223
def
223
ref
65
ref
refl
224
def
66
ref
68
ref
refl
225
def
69
ref
225
ref
70
ref
71
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refl
226
def
216
ref
nil
"w"
11
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var
227
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76
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nil
cons
228
def
cons
229
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cons
230
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231
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nil
31
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nil
cons
cons
232
def
227
ref
36
ref
75
ref
227
ref
varTerm
233
def
appTerm
234
def
appTerm
"Hardware.Bus.sub"
const
1
ref
2
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1
ref
44
ref
1
ref
44
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6
remove
cons
opType
nil
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cons
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nil
cons
cons
opType
constTerm
235
def
39
ref
appTerm
236
def
74
ref
appTerm
237
def
"Number.Natural.bit1"
const
1
ref
44
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53
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cons
opType
238
def
constTerm
239
def
220
ref
appTerm
240
def
appTerm
241
def
"Hardware.Bus.single"
const
1
ref
11
ref
206
ref
cons
opType
constTerm
242
def
233
ref
appTerm
243
def
appTerm
244
def
appTerm
245
def
absTerm
246
def
233
ref
appTerm
247
def
betaConv
66
ref
68
ref
246
ref
appTerm
248
def
absTerm
249
def
74
ref
appTerm
250
def
betaConv
29
ref
65
ref
249
ref
appTerm
251
def
absTerm
252
def
39
ref
appTerm
253
def
betaConv
nil
99
ref
252
ref
appTerm
254
def
axiom
255
def
nil
110
ref
254
remove
nil
cons
cons
111
ref
253
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
175
ref
subst
proveHyp
207
ref
208
ref
252
remove
nil
cons
cons
210
ref
cons
nil
cons
cons
205
ref
subst
eqMp
eqMp
nil
110
ref
251
remove
nil
cons
cons
111
ref
250
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
175
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subst
proveHyp
"A"
53
ref
cons
nil
cons
256
def
"P"
45
ref
var
257
def
249
remove
nil
cons
cons
"x"
44
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var
258
def
74
ref
nil
cons
259
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cons
nil
cons
260
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cons
nil
cons
cons
205
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subst
eqMp
eqMp
nil
110
ref
248
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nil
cons
cons
111
ref
247
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nil
cons
cons
nil
cons
cons
nil
cons
cons
175
ref
subst
proveHyp
"A"
11
ref
nil
cons
cons
nil
cons
261
def
"P"
12
remove
var
262
def
246
remove
nil
cons
cons
"x"
11
ref
var
263
def
233
ref
nil
cons
264
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cons
nil
cons
265
def
cons
nil
cons
cons
205
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subst
eqMp
eqMp
266
def
subst
nil
29
ref
243
ref
nil
cons
267
def
cons
268
def
48
ref
240
ref
nil
cons
269
def
cons
270
def
"k"
44
ref
var
271
def
259
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cons
272
def
nil
cons
273
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cons
274
def
cons
nil
cons
cons
29
ref
36
ref
235
ref
20
ref
appTerm
271
ref
varTerm
275
def
appTerm
57
ref
appTerm
39
ref
appTerm
appTerm
49
ref
52
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275
ref
appTerm
220
ref
appTerm
appTerm
49
ref
52
ref
57
ref
appTerm
276
def
220
ref
appTerm
277
def
appTerm
0
ref
7
ref
constTerm
278
def
39
ref
appTerm
279
def
20
ref
appTerm
280
def
appTerm
appTerm
appTerm
absTerm
281
def
39
ref
appTerm
282
def
betaConv
48
ref
99
ref
281
ref
appTerm
283
def
absTerm
284
def
57
ref
appTerm
285
def
betaConv
271
ref
65
ref
284
ref
appTerm
286
def
absTerm
287
def
275
ref
appTerm
288
def
betaConv
nil
65
ref
287
ref
appTerm
289
def
axiom
nil
110
ref
289
remove
nil
cons
cons
111
ref
288
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
175
ref
subst
proveHyp
256
ref
257
ref
287
remove
nil
cons
cons
258
ref
275
ref
nil
cons
290
def
cons
nil
cons
291
def
cons
nil
cons
cons
205
ref
subst
eqMp
eqMp
nil
110
ref
286
remove
nil
cons
cons
111
ref
285
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
175
ref
subst
proveHyp
256
ref
257
ref
284
remove
nil
cons
cons
258
ref
57
ref
nil
cons
292
def
cons
nil
cons
293
def
cons
nil
cons
cons
205
ref
subst
eqMp
eqMp
nil
110
ref
283
remove
nil
cons
cons
111
ref
282
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
175
ref
subst
proveHyp
207
ref
208
ref
281
remove
nil
cons
cons
210
ref
cons
nil
cons
cons
205
ref
subst
eqMp
eqMp
subst
trans
49
ref
52
ref
74
ref
appTerm
294
def
220
ref
appTerm
295
def
appTerm
296
def
refl
297
def
216
ref
217
ref
nil
48
ref
220
ref
nil
cons
298
def
cons
nil
cons
nil
cons
cons
299
def
48
ref
52
ref
239
remove
57
ref
appTerm
appTerm
"Number.Natural.suc"
const
238
ref
constTerm
300
def
"Number.Natural.bit0"
const
238
ref
constTerm
301
def
57
ref
appTerm
appTerm
appTerm
absTerm
302
def
57
ref
appTerm
303
def
betaConv
nil
65
ref
302
ref
appTerm
304
def
axiom
nil
110
ref
304
remove
nil
cons
cons
111
ref
303
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
175
ref
subst
proveHyp
256
ref
257
ref
302
remove
nil
cons
cons
293
ref
cons
nil
cons
cons
205
ref
subst
eqMp
eqMp
subst
300
ref
refl
305
def
nil
52
ref
301
ref
220
ref
appTerm
appTerm
220
ref
appTerm
axiom
appThm
trans
306
def
appThm
299
ref
222
ref
subst
307
def
appThm
299
remove
48
ref
"Data.Bool.~"
const
34
ref
constTerm
308
def
52
ref
300
ref
57
ref
appTerm
309
def
appTerm
220
ref
appTerm
310
def
appTerm
311
def
absTerm
312
def
57
ref
appTerm
313
def
betaConv
nil
65
ref
312
ref
appTerm
314
def
axiom
nil
110
ref
314
remove
nil
cons
cons
111
ref
313
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
175
ref
subst
proveHyp
256
ref
257
ref
312
remove
nil
cons
cons
293
ref
cons
nil
cons
cons
205
ref
subst
eqMp
eqMp
nil
110
ref
311
remove
nil
cons
cons
111
ref
36
ref
310
ref
appTerm
"Data.Bool.F"
const
3
ref
constTerm
315
def
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
175
ref
subst
proveHyp
nil
151
ref
310
remove
nil
cons
cons
nil
cons
nil
cons
cons
nil
110
ref
308
ref
156
ref
appTerm
316
def
nil
cons
317
def
cons
111
ref
36
ref
156
ref
appTerm
315
ref
appTerm
nil
cons
318
def
cons
nil
cons
cons
nil
cons
cons
319
def
126
ref
subst
319
remove
194
ref
subst
nil
110
ref
156
ref
nil
cons
320
def
cons
111
ref
315
ref
nil
cons
321
def
cons
nil
cons
322
def
cons
nil
cons
cons
126
ref
194
ref
36
ref
112
ref
appTerm
114
ref
appTerm
323
def
assume
324
def
147
remove
eqMp
eqMp
168
remove
deductAntisym
eqMp
325
def
nil
110
ref
115
ref
nil
cons
326
def
cons
327
def
111
ref
71
ref
114
ref
appTerm
328
def
112
ref
appTerm
nil
cons
329
def
cons
nil
cons
cons
nil
cons
cons
194
ref
subst
proveHyp
328
ref
refl
324
remove
appThm
sym
nil
110
ref
148
ref
cons
330
def
111
ref
148
ref
cons
nil
cons
cons
nil
cons
cons
331
def
126
ref
subst
331
remove
194
ref
subst
149
remove
eqMp
nil
151
ref
148
ref
cons
154
remove
cons
nil
cons
cons
167
ref
subst
deductAntisym
eqMp
eqMp
eqMp
nil
330
ref
111
ref
140
ref
cons
nil
cons
cons
nil
cons
cons
175
ref
subst
nil
151
ref
326
ref
cons
332
def
153
ref
329
remove
cons
nil
cons
cons
nil
cons
cons
333
def
155
ref
159
remove
171
ref
appTerm
betaConv
171
remove
156
ref
appTerm
betaConv
161
ref
appThm
170
remove
158
ref
appTerm
betaConv
trans
trans
appThm
172
remove
appThm
166
remove
173
remove
appThm
eqMp
sym
145
ref
eqMp
334
def
subst
eqMp
175
ref
333
remove
167
ref
subst
eqMp
deductAntisym
deductAntisym
335
def
subst
36
ref
316
ref
appTerm
refl
110
ref
113
ref
315
ref
appTerm
absTerm
336
def
156
ref
appTerm
betaConv
appThm
nil
135
ref
308
ref
appTerm
336
remove
appTerm
axiom
165
ref
appThm
eqMp
316
remove
assume
eqMp
nil
110
ref
71
ref
156
ref
appTerm
337
def
315
ref
appTerm
nil
cons
cons
111
ref
71
ref
315
ref
appTerm
338
def
156
ref
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
194
ref
subst
proveHyp
nil
110
ref
321
ref
cons
111
ref
320
ref
cons
nil
cons
cons
nil
cons
cons
339
def
126
ref
subst
339
remove
194
ref
subst
110
ref
112
ref
absTerm
340
def
156
ref
appTerm
341
def
betaConv
nil
36
ref
315
ref
appTerm
342
def
64
ref
134
remove
constTerm
343
def
340
ref
appTerm
344
def
appTerm
axiom
315
ref
assume
eqMp
nil
110
ref
344
remove
nil
cons
cons
111
ref
341
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
175
ref
subst
proveHyp
"A"
4
ref
cons
nil
cons
345
def
"P"
34
ref
var
346
def
340
remove
nil
cons
cons
"x"
3
ref
var
347
def
320
ref
cons
nil
cons
cons
nil
cons
cons
205
ref
subst
eqMp
eqMp
348
def
eqMp
nil
151
ref
321
ref
cons
153
ref
320
remove
cons
nil
cons
cons
nil
cons
cons
167
ref
subst
deductAntisym
eqMp
eqMp
eqMp
eqMp
nil
151
ref
317
remove
cons
153
ref
318
remove
cons
nil
cons
cons
nil
cons
cons
167
ref
subst
deductAntisym
eqMp
349
def
subst
eqMp
350
def
subst
351
def
trans
appThm
278
ref
243
ref
appTerm
352
def
20
ref
appTerm
353
def
refl
appThm
nil
139
ref
353
remove
nil
cons
cons
nil
cons
nil
cons
cons
139
ref
36
ref
49
ref
315
ref
appTerm
354
def
142
ref
appTerm
appTerm
315
ref
appTerm
absTerm
355
def
142
ref
appTerm
356
def
betaConv
nil
343
ref
355
ref
appTerm
357
def
axiom
nil
110
ref
357
remove
nil
cons
cons
111
ref
356
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
175
ref
subst
proveHyp
345
ref
346
ref
355
remove
nil
cons
cons
347
ref
142
ref
nil
cons
cons
nil
cons
358
def
cons
nil
cons
cons
205
ref
subst
eqMp
eqMp
359
def
subst
trans
appThm
nil
139
ref
295
ref
nil
cons
360
def
cons
nil
cons
nil
cons
cons
139
ref
36
ref
49
ref
142
ref
appTerm
361
def
315
ref
appTerm
appTerm
315
ref
appTerm
absTerm
362
def
142
ref
appTerm
363
def
betaConv
nil
343
ref
362
ref
appTerm
364
def
axiom
nil
110
ref
364
remove
nil
cons
cons
111
ref
363
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
175
ref
subst
proveHyp
345
ref
346
ref
362
remove
nil
cons
cons
358
ref
cons
nil
cons
cons
205
ref
subst
eqMp
eqMp
365
def
subst
366
def
trans
trans
367
def
subst
appThm
368
def
nil
227
ref
81
ref
nil
cons
369
def
cons
370
def
nil
cons
371
def
nil
cons
cons
372
def
367
ref
subst
373
def
appThm
nil
139
ref
321
remove
cons
nil
cons
nil
cons
cons
374
def
359
ref
subst
375
def
trans
appThm
85
ref
refl
376
def
appThm
nil
139
ref
85
ref
nil
cons
377
def
cons
nil
cons
nil
cons
cons
139
ref
36
ref
338
ref
142
ref
appTerm
appTerm
131
ref
appTerm
absTerm
378
def
142
ref
appTerm
379
def
betaConv
nil
343
ref
378
ref
appTerm
380
def
axiom
nil
110
ref
380
remove
nil
cons
cons
111
ref
379
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
175
ref
subst
proveHyp
345
ref
346
ref
378
remove
nil
cons
cons
358
ref
cons
nil
cons
cons
205
ref
subst
eqMp
eqMp
381
def
subst
trans
absThm
appThm
nil
139
ref
131
ref
nil
cons
382
def
cons
nil
cons
nil
cons
cons
383
def
261
ref
nil
nil
cons
384
def
cons
385
def
139
ref
36
ref
184
ref
189
ref
142
ref
absTerm
appTerm
appTerm
142
ref
appTerm
absTerm
386
def
142
ref
appTerm
387
def
betaConv
nil
343
ref
386
ref
appTerm
388
def
axiom
nil
110
ref
388
remove
nil
cons
cons
111
ref
387
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
175
ref
subst
proveHyp
345
ref
346
ref
386
remove
nil
cons
cons
358
ref
cons
nil
cons
cons
205
ref
subst
eqMp
eqMp
389
def
subst
subst
390
def
trans
absThm
appThm
390
ref
trans
absThm
appThm
383
ref
256
ref
384
ref
cons
391
def
389
ref
subst
subst
392
def
trans
appThm
nil
139
ref
52
ref
220
ref
appTerm
57
ref
appTerm
nil
cons
cons
nil
cons
nil
cons
cons
393
def
139
ref
36
ref
361
ref
131
ref
appTerm
appTerm
142
ref
appTerm
absTerm
394
def
142
ref
appTerm
395
def
betaConv
nil
343
ref
394
ref
appTerm
396
def
axiom
nil
110
ref
396
remove
nil
cons
cons
111
ref
395
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
175
ref
subst
proveHyp
345
ref
346
ref
394
remove
nil
cons
cons
358
ref
cons
nil
cons
cons
205
ref
subst
eqMp
eqMp
397
def
subst
398
def
trans
appThm
393
remove
139
ref
36
ref
361
remove
142
ref
appTerm
appTerm
142
ref
appTerm
absTerm
399
def
142
ref
appTerm
400
def
betaConv
nil
343
ref
399
ref
appTerm
401
def
axiom
nil
110
ref
401
remove
nil
cons
cons
111
ref
400
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
175
ref
subst
proveHyp
345
ref
346
ref
399
remove
nil
cons
cons
358
ref
cons
nil
cons
cons
205
ref
subst
eqMp
eqMp
402
def
subst
403
def
trans
absThm
appThm
nil
"a"
44
ref
var
404
def
298
ref
cons
nil
cons
nil
cons
cons
391
ref
nil
139
ref
43
ref
183
ref
constTerm
405
def
189
ref
0
ref
1
ref
181
ref
182
ref
nil
cons
406
def
cons
opType
constTerm
407
def
"a"
181
ref
var
408
def
varTerm
409
def
appTerm
190
ref
appTerm
absTerm
appTerm
410
def
nil
cons
cons
nil
cons
nil
cons
cons
146
ref
subst
408
ref
410
remove
absTerm
411
def
409
ref
appTerm
412
def
betaConv
184
ref
refl
408
ref
405
ref
refl
189
ref
nil
"y"
181
ref
var
413
def
409
ref
nil
cons
414
def
cons
nil
cons
nil
cons
cons
413
ref
36
ref
407
ref
190
ref
appTerm
415
def
413
ref
varTerm
416
def
appTerm
417
def
appTerm
407
ref
416
ref
appTerm
418
def
190
ref
appTerm
419
def
appTerm
absTerm
420
def
416
ref
appTerm
421
def
betaConv
189
ref
184
ref
420
ref
appTerm
422
def
absTerm
423
def
190
ref
appTerm
424
def
betaConv
nil
184
ref
423
ref
appTerm
425
def
axiom
nil
110
ref
425
remove
nil
cons
cons
111
ref
424
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
175
ref
subst
proveHyp
"A"
181
ref
nil
cons
426
def
cons
nil
cons
427
def
185
ref
423
remove
nil
cons
cons
189
ref
190
ref
nil
cons
cons
nil
cons
428
def
cons
nil
cons
cons
205
ref
subst
eqMp
eqMp
nil
110
ref
422
remove
nil
cons
cons
111
ref
421
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
175
ref
subst
proveHyp
427
ref
185
ref
420
remove
nil
cons
cons
189
ref
416
ref
nil
cons
cons
nil
cons
429
def
cons
nil
cons
cons
205
ref
subst
eqMp
eqMp
430
def
subst
absThm
appThm
absThm
appThm
nil
184
ref
408
remove
405
ref
189
ref
415
ref
409
remove
appTerm
absTerm
appTerm
absTerm
appTerm
axiom
eqMp
nil
110
ref
184
ref
411
ref
appTerm
nil
cons
cons
111
ref
412
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
175
ref
subst
proveHyp
427
ref
185
ref
411
remove
nil
cons
cons
189
ref
414
remove
cons
nil
cons
cons
nil
cons
cons
205
ref
subst
eqMp
eqMp
431
def
eqMp
subst
432
def
subst
433
def
trans
trans
434
def
sym
145
ref
eqMp
435
def
subst
eqMp
nil
10
ref
20
ref
appTerm
20
ref
appTerm
thm
nil
9
ref
"Hardware.Bus.delay"
const
7
ref
constTerm
436
def
appTerm
16
ref
"Hardware.delay"
const
14
ref
constTerm
437
def
appTerm
438
def
appTerm
axiom
439
def
21
ref
appThm
21
ref
appThm
sym
nil
22
ref
437
ref
nil
cons
cons
nil
cons
440
def
nil
cons
cons
441
def
435
ref
subst
eqMp
nil
436
ref
20
ref
appTerm
20
ref
appTerm
thm
nil
9
remove
"Hardware.Bus.not"
const
7
ref
constTerm
442
def
appTerm
16
ref
"Hardware.not"
const
14
ref
constTerm
443
def
appTerm
444
def
appTerm
axiom
445
def
21
ref
appThm
21
ref
appThm
sym
nil
22
ref
443
ref
nil
cons
cons
nil
cons
446
def
nil
cons
cons
447
def
435
ref
subst
eqMp
nil
442
ref
20
ref
appTerm
20
ref
appTerm
thm
33
remove
26
ref
36
ref
"Hardware.Bus.reverse"
const
7
ref
constTerm
448
def
39
ref
appTerm
41
ref
appTerm
449
def
appTerm
49
ref
56
ref
60
ref
appTerm
450
def
appTerm
451
def
65
ref
66
ref
65
ref
"j"
44
ref
var
452
def
68
ref
69
ref
68
ref
"yj"
11
ref
var
453
def
71
ref
49
ref
52
ref
"Number.Natural.+"
const
1
ref
44
ref
238
ref
nil
cons
454
def
cons
opType
455
def
constTerm
456
def
74
ref
appTerm
457
def
456
ref
452
ref
varTerm
458
def
appTerm
459
def
240
ref
appTerm
460
def
appTerm
appTerm
461
def
55
ref
appTerm
appTerm
462
def
78
ref
79
ref
458
ref
appTerm
463
def
453
ref
varTerm
464
def
appTerm
465
def
appTerm
466
def
appTerm
appTerm
0
ref
14
ref
constTerm
467
def
76
ref
appTerm
468
def
464
ref
appTerm
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
appTerm
479
def
appTerm
absTerm
480
def
41
ref
appTerm
481
def
betaConv
29
ref
99
ref
480
ref
appTerm
482
def
absTerm
483
def
39
ref
appTerm
484
def
betaConv
nil
99
ref
483
ref
appTerm
485
def
axiom
nil
110
ref
485
remove
nil
cons
cons
111
ref
484
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
175
ref
subst
proveHyp
207
ref
208
ref
483
remove
nil
cons
cons
210
ref
cons
nil
cons
cons
205
ref
subst
eqMp
eqMp
nil
110
ref
482
remove
nil
cons
cons
111
ref
481
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
175
ref
subst
proveHyp
207
ref
208
ref
480
remove
nil
cons
cons
213
ref
cons
nil
cons
cons
205
ref
subst
eqMp
eqMp
486
def
subst
216
ref
nil
258
ref
218
ref
nil
cons
cons
nil
cons
487
def
nil
cons
cons
391
ref
nil
139
ref
415
ref
190
ref
appTerm
nil
cons
cons
nil
cons
nil
cons
cons
146
ref
subst
204
remove
eqMp
488
def
subst
489
def
subst
appThm
224
ref
66
ref
224
ref
452
ref
225
ref
69
ref
225
ref
453
ref
226
ref
216
ref
217
ref
457
ref
refl
490
def
459
ref
refl
491
def
306
ref
appThm
appThm
appThm
221
ref
appThm
nil
48
ref
459
ref
300
ref
220
ref
appTerm
492
def
appTerm
nil
cons
cons
"m"
44
ref
var
493
def
259
ref
cons
494
def
nil
cons
495
def
cons
nil
cons
cons
48
ref
36
ref
52
ref
456
ref
493
ref
varTerm
496
def
appTerm
497
def
57
ref
appTerm
498
def
appTerm
499
def
220
ref
appTerm
appTerm
49
ref
52
ref
496
ref
appTerm
500
def
220
ref
appTerm
501
def
appTerm
277
remove
appTerm
appTerm
absTerm
502
def
57
ref
appTerm
503
def
betaConv
493
ref
65
ref
502
ref
appTerm
504
def
absTerm
505
def
496
ref
appTerm
506
def
betaConv
nil
65
ref
505
ref
appTerm
507
def
axiom
nil
110
ref
507
remove
nil
cons
cons
111
ref
506
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
175
ref
subst
proveHyp
256
ref
257
ref
505
remove
nil
cons
cons
258
ref
496
ref
nil
cons
508
def
cons
nil
cons
509
def
cons
nil
cons
cons
205
ref
subst
eqMp
eqMp
nil
110
ref
504
remove
nil
cons
cons
111
ref
503
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
175
ref
subst
proveHyp
256
ref
257
ref
502
remove
nil
cons
cons
293
ref
cons
nil
cons
cons
205
ref
subst
eqMp
eqMp
510
def
subst
297
remove
nil
48
ref
492
remove
nil
cons
cons
493
ref
458
ref
nil
cons
511
def
cons
nil
cons
512
def
cons
nil
cons
cons
510
remove
subst
49
ref
52
ref
458
ref
appTerm
513
def
220
ref
appTerm
514
def
appTerm
515
def
refl
351
remove
appThm
nil
139
ref
514
remove
nil
cons
516
def
cons
nil
cons
nil
cons
cons
365
remove
subst
trans
trans
appThm
366
remove
trans
trans
trans
appThm
49
ref
72
ref
20
ref
appTerm
517
def
74
ref
appTerm
518
def
76
ref
appTerm
appTerm
517
remove
458
ref
appTerm
464
ref
appTerm
appTerm
519
def
refl
appThm
nil
139
ref
519
remove
nil
cons
cons
nil
cons
nil
cons
cons
359
ref
subst
trans
appThm
469
ref
refl
520
def
appThm
nil
139
ref
469
ref
nil
cons
521
def
cons
nil
cons
nil
cons
cons
522
def
381
ref
subst
trans
absThm
appThm
390
ref
trans
absThm
appThm
390
ref
trans
absThm
appThm
392
ref
trans
absThm
appThm
392
ref
trans
appThm
383
ref
139
ref
36
ref
49
ref
131
ref
appTerm
523
def
142
ref
appTerm
appTerm
142
ref
appTerm
absTerm
524
def
142
ref
appTerm
525
def
betaConv
nil
343
ref
524
ref
appTerm
526
def
axiom
nil
110
ref
526
remove
nil
cons
cons
111
ref
525
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
175
ref
subst
proveHyp
345
ref
346
ref
524
remove
nil
cons
cons
358
ref
cons
nil
cons
cons
205
ref
subst
eqMp
eqMp
527
def
subst
528
def
trans
trans
sym
145
ref
eqMp
nil
448
ref
20
ref
appTerm
20
ref
appTerm
thm
nil
0
ref
1
ref
1
ref
2
ref
15
ref
cons
opType
529
def
1
ref
529
ref
4
ref
cons
opType
530
def
nil
cons
cons
opType
constTerm
531
def
"Hardware.Bus.and2"
const
529
ref
constTerm
532
def
appTerm
"Hardware.Bus.lift3"
const
1
ref
1
ref
11
ref
176
remove
cons
opType
533
def
529
ref
nil
cons
534
def
cons
opType
constTerm
535
def
"Hardware.and2"
const
533
ref
constTerm
536
def
appTerm
537
def
appTerm
axiom
538
def
21
ref
appThm
21
ref
appThm
21
ref
appThm
sym
nil
"r"
533
ref
var
539
def
536
ref
nil
cons
cons
nil
cons
540
def
nil
cons
cons
541
def
nil
"z"
2
ref
var
542
def
27
ref
cons
543
def
32
remove
cons
nil
cons
cons
542
ref
36
ref
535
ref
539
ref
varTerm
544
def
appTerm
545
def
39
ref
appTerm
546
def
41
ref
appTerm
542
ref
varTerm
547
def
appTerm
548
def
appTerm
47
ref
48
ref
59
ref
63
ref
49
ref
52
ref
54
ref
547
ref
appTerm
appTerm
549
def
57
ref
appTerm
550
def
appTerm
551
def
65
ref
66
ref
68
ref
69
ref
68
ref
70
ref
68
ref
"zi"
11
ref
var
552
def
71
ref
78
ref
49
ref
82
ref
appTerm
553
def
72
ref
547
ref
appTerm
554
def
74
ref
appTerm
555
def
552
ref
varTerm
556
def
appTerm
557
def
appTerm
558
def
appTerm
559
def
appTerm
560
def
544
ref
76
ref
appTerm
561
def
81
ref
appTerm
556
ref
appTerm
562
def
appTerm
absTerm
563
def
appTerm
564
def
absTerm
565
def
appTerm
566
def
absTerm
567
def
appTerm
568
def
absTerm
569
def
appTerm
570
def
appTerm
571
def
appTerm
572
def
appTerm
573
def
absTerm
574
def
appTerm
575
def
appTerm
absTerm
576
def
547
ref
appTerm
577
def
betaConv
26
ref
99
ref
576
ref
appTerm
578
def
absTerm
579
def
41
ref
appTerm
580
def
betaConv
29
ref
99
ref
579
ref
appTerm
581
def
absTerm
582
def
39
ref
appTerm
583
def
betaConv
539
ref
99
ref
582
ref
appTerm
584
def
absTerm
585
def
544
ref
appTerm
586
def
betaConv
nil
64
ref
1
ref
1
ref
533
ref
4
ref
cons
opType
587
def
4
ref
cons
opType
constTerm
588
def
585
ref
appTerm
589
def
axiom
nil
110
ref
589
remove
nil
cons
cons
111
ref
586
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
175
ref
subst
proveHyp
"A"
533
ref
nil
cons
590
def
cons
nil
cons
591
def
"P"
587
remove
var
592
def
585
remove
nil
cons
cons
"x"
533
ref
var
544
ref
nil
cons
cons
nil
cons
593
def
cons
nil
cons
cons
205
ref
subst
eqMp
eqMp
nil
110
ref
584
remove
nil
cons
cons
111
ref
583
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
175
ref
subst
proveHyp
207
ref
208
ref
582
remove
nil
cons
cons
210
ref
cons
nil
cons
cons
205
ref
subst
eqMp
eqMp
nil
110
ref
581
remove
nil
cons
cons
111
ref
580
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
175
ref
subst
proveHyp
207
ref
208
ref
579
remove
nil
cons
cons
213
ref
cons
nil
cons
cons
205
ref
subst
eqMp
eqMp
nil
110
ref
578
remove
nil
cons
cons
111
ref
577
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
175
ref
subst
proveHyp
207
ref
208
ref
576
remove
nil
cons
cons
29
ref
547
ref
nil
cons
594
def
cons
nil
cons
595
def
cons
nil
cons
cons
205
ref
subst
eqMp
eqMp
596
def
subst
215
ref
48
ref
223
ref
223
ref
223
remove
224
ref
66
ref
225
ref
69
ref
225
ref
70
ref
225
ref
552
ref
226
ref
368
remove
216
ref
373
remove
appThm
nil
227
ref
556
ref
nil
cons
597
def
cons
598
def
nil
cons
nil
cons
cons
367
ref
subst
appThm
375
ref
trans
appThm
375
ref
trans
appThm
562
ref
refl
599
def
appThm
nil
139
ref
562
ref
nil
cons
600
def
cons
nil
cons
nil
cons
cons
381
ref
subst
trans
absThm
appThm
390
ref
trans
absThm
appThm
390
ref
trans
absThm
appThm
390
ref
trans
absThm
appThm
392
ref
trans
appThm
398
remove
trans
appThm
403
ref
trans
appThm
403
remove
trans
absThm
appThm
433
remove
trans
trans
601
def
sym
145
ref
eqMp
602
def
subst
eqMp
603
def
nil
532
ref
20
ref
appTerm
20
ref
appTerm
604
def
20
ref
appTerm
605
def
thm
nil
531
ref
"Hardware.Bus.or2"
const
529
ref
constTerm
606
def
appTerm
535
ref
"Hardware.or2"
const
533
ref
constTerm
607
def
appTerm
608
def
appTerm
axiom
609
def
21
ref
appThm
21
ref
appThm
21
ref
appThm
sym
nil
539
ref
607
ref
nil
cons
cons
nil
cons
610
def
nil
cons
cons
611
def
602
ref
subst
eqMp
612
def
nil
606
ref
20
ref
appTerm
20
ref
appTerm
613
def
20
ref
appTerm
614
def
thm
nil
531
ref
"Hardware.Bus.xor2"
const
529
ref
constTerm
615
def
appTerm
535
ref
"Hardware.xor2"
const
533
ref
constTerm
616
def
appTerm
617
def
appTerm
axiom
618
def
21
ref
appThm
21
ref
appThm
21
ref
appThm
sym
nil
539
ref
616
ref
nil
cons
cons
nil
cons
619
def
nil
cons
cons
620
def
602
ref
subst
eqMp
621
def
nil
615
ref
20
ref
appTerm
20
ref
appTerm
622
def
20
ref
appTerm
623
def
thm
99
ref
refl
624
def
29
ref
19
ref
39
ref
refl
625
def
appThm
626
def
625
ref
appThm
absThm
appThm
sym
nil
68
ref
263
ref
17
ref
263
ref
varTerm
627
def
appTerm
628
def
627
ref
appTerm
absTerm
appTerm
axiom
nil
110
ref
68
ref
227
ref
17
ref
233
ref
appTerm
233
ref
appTerm
absTerm
appTerm
nil
cons
cons
111
ref
99
ref
29
ref
18
ref
39
ref
appTerm
629
def
39
ref
appTerm
absTerm
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
175
ref
subst
proveHyp
25
ref
nil
110
ref
68
ref
227
ref
37
ref
233
ref
appTerm
630
def
233
ref
appTerm
631
def
absTerm
632
def
appTerm
633
def
nil
cons
634
def
cons
635
def
111
ref
99
ref
29
ref
40
remove
39
ref
appTerm
636
def
absTerm
637
def
appTerm
638
def
nil
cons
639
def
cons
nil
cons
cons
nil
cons
cons
640
def
126
ref
subst
640
remove
194
ref
subst
nil
208
ref
637
remove
nil
cons
cons
nil
cons
nil
cons
cons
207
ref
384
ref
cons
641
def
36
ref
187
remove
appTerm
refl
199
remove
appThm
203
remove
eqMp
sym
642
def
subst
643
def
subst
29
ref
nil
139
ref
636
remove
nil
cons
cons
nil
cons
nil
cons
cons
146
ref
subst
nil
26
ref
209
ref
cons
644
def
nil
cons
645
def
nil
cons
cons
214
ref
subst
sym
48
ref
59
ref
59
ref
65
ref
66
ref
68
ref
69
ref
68
ref
70
ref
71
ref
78
ref
75
ref
81
ref
appTerm
646
def
appTerm
647
def
appTerm
648
def
85
ref
appTerm
649
def
absTerm
650
def
appTerm
651
def
absTerm
652
def
appTerm
653
def
absTerm
654
def
appTerm
655
def
appTerm
appTerm
absTerm
656
def
55
ref
appTerm
betaConv
sym
216
ref
nil
258
ref
55
ref
nil
cons
657
def
cons
nil
cons
658
def
nil
cons
cons
489
ref
subst
659
def
appThm
660
def
660
ref
655
ref
refl
appThm
nil
139
ref
655
remove
nil
cons
cons
nil
cons
nil
cons
cons
527
ref
subst
661
def
trans
appThm
661
remove
trans
sym
nil
257
ref
654
remove
nil
cons
cons
nil
cons
nil
cons
cons
391
ref
642
ref
subst
662
def
subst
66
ref
nil
139
ref
653
remove
nil
cons
cons
nil
cons
nil
cons
cons
146
ref
subst
nil
262
ref
652
remove
nil
cons
cons
nil
cons
nil
cons
cons
385
ref
642
ref
subst
663
def
subst
69
ref
nil
139
ref
651
remove
nil
cons
cons
nil
cons
nil
cons
cons
146
ref
subst
nil
262
ref
650
remove
nil
cons
cons
nil
cons
nil
cons
cons
663
ref
subst
70
ref
nil
139
ref
649
remove
nil
cons
cons
nil
cons
nil
cons
cons
146
ref
subst
nil
110
ref
647
remove
nil
cons
664
def
cons
111
ref
377
ref
cons
nil
cons
665
def
cons
nil
cons
cons
666
def
126
ref
subst
666
remove
194
ref
subst
nil
151
ref
77
ref
nil
cons
667
def
cons
668
def
153
ref
646
ref
nil
cons
669
def
cons
nil
cons
cons
nil
cons
cons
670
def
167
ref
subst
670
remove
334
ref
subst
"w2"
11
ref
var
671
def
71
ref
78
ref
75
ref
671
ref
varTerm
672
def
appTerm
673
def
appTerm
appTerm
468
ref
672
ref
appTerm
appTerm
absTerm
674
def
81
ref
appTerm
675
def
betaConv
"w1"
11
ref
var
676
def
68
ref
671
ref
71
ref
49
ref
75
ref
676
ref
varTerm
677
def
appTerm
appTerm
673
remove
appTerm
appTerm
467
ref
677
ref
appTerm
672
ref
appTerm
678
def
appTerm
679
def
absTerm
680
def
appTerm
681
def
absTerm
682
def
76
ref
appTerm
683
def
betaConv
nil
262
ref
682
ref
nil
cons
cons
684
def
nil
cons
nil
cons
cons
663
ref
subst
676
ref
nil
139
ref
681
remove
nil
cons
cons
nil
cons
nil
cons
cons
146
ref
subst
nil
262
ref
680
remove
nil
cons
cons
nil
cons
nil
cons
cons
663
ref
subst
671
ref
nil
139
ref
679
remove
nil
cons
cons
nil
cons
nil
cons
cons
146
ref
subst
226
ref
216
ref
nil
227
ref
677
ref
nil
cons
685
def
cons
nil
cons
nil
cons
cons
266
ref
subst
appThm
nil
227
ref
672
ref
nil
cons
686
def
cons
nil
cons
nil
cons
cons
266
ref
subst
appThm
appThm
678
ref
refl
appThm
sym
nil
110
ref
49
ref
241
ref
242
ref
677
ref
appTerm
687
def
appTerm
688
def
appTerm
241
ref
242
ref
672
ref
appTerm
689
def
appTerm
690
def
appTerm
nil
cons
691
def
cons
111
ref
678
ref
nil
cons
692
def
cons
nil
cons
693
def
cons
nil
cons
cons
694
def
126
ref
subst
694
remove
194
ref
subst
nil
151
ref
688
ref
nil
cons
695
def
cons
153
ref
690
ref
nil
cons
696
def
cons
nil
cons
cons
nil
cons
cons
697
def
167
ref
subst
697
remove
334
ref
subst
29
ref
47
ref
271
ref
47
ref
48
ref
49
ref
236
ref
275
ref
appTerm
698
def
57
ref
appTerm
699
def
687
ref
appTerm
appTerm
699
ref
689
ref
appTerm
appTerm
absTerm
appTerm
absTerm
700
def
appTerm
absTerm
701
def
39
ref
appTerm
betaConv
sym
700
ref
74
ref
appTerm
betaConv
sym
48
ref
49
ref
237
remove
57
ref
appTerm
702
def
687
ref
appTerm
appTerm
702
ref
689
ref
appTerm
appTerm
absTerm
703
def
240
ref
appTerm
betaConv
sym
216
ref
nil
139
ref
695
remove
cons
nil
cons
nil
cons
cons
146
ref
subst
688
remove
assume
eqMp
appThm
nil
139
ref
696
remove
cons
nil
cons
nil
cons
cons
146
ref
subst
690
remove
assume
eqMp
appThm
528
ref
trans
sym
145
ref
eqMp
eqMp
256
ref
257
ref
703
remove
nil
cons
cons
258
ref
269
ref
cons
nil
cons
704
def
cons
nil
cons
cons
36
ref
405
ref
186
ref
appTerm
705
def
appTerm
706
def
refl
196
ref
343
ref
111
ref
71
ref
184
ref
189
ref
71
ref
197
ref
190
ref
appTerm
707
def
appTerm
114
ref
appTerm
absTerm
appTerm
708
def
appTerm
114
ref
appTerm
absTerm
appTerm
absTerm
709
def
186
remove
appTerm
betaConv
appThm
nil
201
remove
405
ref
appTerm
709
remove
appTerm
axiom
202
remove
appThm
eqMp
710
def
sym
nil
346
ref
153
ref
71
ref
184
ref
189
ref
71
ref
191
remove
appTerm
711
def
158
ref
appTerm
absTerm
712
def
appTerm
713
def
appTerm
158
ref
appTerm
714
def
absTerm
nil
cons
cons
nil
cons
nil
cons
cons
345
ref
384
ref
cons
715
def
642
ref
subst
subst
153
ref
nil
139
ref
714
remove
nil
cons
cons
nil
cons
nil
cons
cons
146
ref
subst
nil
110
ref
713
remove
nil
cons
716
def
cons
717
def
111
ref
158
ref
nil
cons
718
def
cons
nil
cons
719
def
cons
nil
cons
cons
720
def
126
ref
subst
720
ref
194
ref
subst
nil
110
ref
192
remove
cons
719
ref
cons
nil
cons
cons
175
ref
subst
712
ref
190
ref
appTerm
721
def
betaConv
nil
717
ref
111
ref
721
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
175
ref
subst
427
ref
185
ref
712
remove
nil
cons
cons
428
ref
cons
nil
cons
cons
205
ref
subst
eqMp
eqMp
eqMp
eqMp
nil
151
ref
716
remove
cons
722
def
153
ref
718
ref
cons
nil
cons
723
def
cons
nil
cons
cons
167
ref
subst
deductAntisym
eqMp
eqMp
absThm
eqMp
eqMp
724
def
subst
proveHyp
eqMp
256
ref
257
ref
700
remove
nil
cons
cons
260
ref
cons
nil
cons
cons
724
ref
subst
proveHyp
eqMp
207
ref
208
ref
701
ref
nil
cons
cons
210
ref
cons
nil
cons
cons
724
ref
subst
proveHyp
nil
110
ref
43
ref
98
remove
constTerm
725
def
701
remove
appTerm
nil
cons
cons
111
ref
278
ref
687
ref
appTerm
689
ref
appTerm
726
def
nil
cons
727
def
cons
nil
cons
cons
nil
cons
cons
175
ref
subst
proveHyp
nil
542
ref
689
ref
nil
cons
cons
26
ref
687
ref
nil
cons
cons
nil
cons
cons
nil
cons
cons
542
ref
71
ref
725
ref
29
ref
47
ref
271
ref
47
ref
48
ref
49
ref
699
ref
41
ref
appTerm
728
def
appTerm
729
def
699
ref
547
ref
appTerm
730
def
appTerm
731
def
absTerm
732
def
appTerm
733
def
absTerm
734
def
appTerm
735
def
absTerm
736
def
appTerm
737
def
appTerm
738
def
278
ref
41
ref
appTerm
739
def
547
ref
appTerm
740
def
appTerm
741
def
absTerm
742
def
547
ref
appTerm
743
def
betaConv
26
ref
99
ref
742
ref
appTerm
744
def
absTerm
745
def
41
ref
appTerm
746
def
betaConv
nil
99
ref
29
ref
65
ref
271
ref
65
ref
48
ref
99
ref
26
ref
99
ref
542
ref
71
ref
731
ref
appTerm
740
ref
appTerm
absTerm
747
def
appTerm
748
def
absTerm
749
def
appTerm
750
def
absTerm
751
def
appTerm
752
def
absTerm
753
def
appTerm
754
def
absTerm
755
def
appTerm
756
def
axiom
nil
110
ref
756
ref
nil
cons
757
def
cons
758
def
111
ref
99
ref
745
ref
appTerm
nil
cons
759
def
cons
nil
cons
cons
nil
cons
cons
760
def
175
ref
subst
proveHyp
760
ref
126
ref
subst
760
remove
194
ref
subst
nil
208
ref
745
remove
nil
cons
cons
761
def
nil
cons
nil
cons
cons
643
ref
subst
26
ref
nil
139
ref
744
remove
nil
cons
762
def
cons
nil
cons
nil
cons
cons
146
ref
subst
nil
208
ref
742
remove
nil
cons
cons
763
def
nil
cons
nil
cons
cons
643
ref
subst
542
ref
nil
139
ref
741
remove
nil
cons
cons
nil
cons
nil
cons
cons
146
ref
subst
nil
110
ref
737
remove
nil
cons
764
def
cons
765
def
111
ref
740
ref
nil
cons
766
def
cons
nil
cons
767
def
cons
nil
cons
cons
768
def
126
ref
subst
768
remove
194
ref
subst
nil
758
ref
767
ref
cons
nil
cons
cons
769
def
175
ref
subst
nil
765
remove
111
ref
71
ref
756
remove
appTerm
740
remove
appTerm
770
def
nil
cons
771
def
cons
nil
cons
772
def
cons
nil
cons
cons
175
ref
subst
nil
208
ref
29
ref
71
ref
736
ref
39
ref
appTerm
773
def
appTerm
770
ref
appTerm
774
def
absTerm
775
def
nil
cons
cons
nil
cons
nil
cons
cons
643
ref
subst
29
ref
nil
139
ref
774
remove
nil
cons
cons
nil
cons
nil
cons
cons
146
ref
subst
nil
110
ref
773
ref
nil
cons
776
def
cons
772
ref
cons
nil
cons
cons
777
def
126
ref
subst
777
remove
194
ref
subst
773
ref
betaConv
773
remove
assume
eqMp
nil
110
ref
735
ref
nil
cons
cons
772
ref
cons
nil
cons
cons
175
ref
subst
proveHyp
nil
257
ref
271
ref
71
ref
734
ref
275
ref
appTerm
778
def
appTerm
770
ref
appTerm
779
def
absTerm
nil
cons
cons
nil
cons
nil
cons
cons
662
ref
subst
271
ref
nil
139
ref
779
remove
nil
cons
cons
nil
cons
nil
cons
cons
146
ref
subst
nil
110
ref
778
ref
nil
cons
780
def
cons
772
ref
cons
nil
cons
cons
781
def
126
ref
subst
781
remove
194
ref
subst
778
ref
betaConv
778
remove
assume
eqMp
nil
110
ref
733
ref
nil
cons
cons
772
ref
cons
nil
cons
cons
175
ref
subst
proveHyp
nil
257
ref
48
ref
71
ref
732
ref
57
ref
appTerm
782
def
appTerm
770
ref
appTerm
783
def
absTerm
nil
cons
cons
nil
cons
nil
cons
cons
662
ref
subst
48
ref
nil
139
ref
783
remove
nil
cons
cons
nil
cons
nil
cons
cons
146
ref
subst
nil
110
ref
782
ref
nil
cons
784
def
cons
772
ref
cons
nil
cons
cons
785
def
126
ref
subst
785
remove
194
ref
subst
782
ref
betaConv
782
remove
assume
eqMp
nil
110
ref
731
remove
nil
cons
786
def
cons
787
def
772
remove
cons
nil
cons
cons
788
def
175
ref
subst
proveHyp
788
ref
126
ref
subst
788
remove
194
ref
subst
769
ref
126
ref
subst
769
remove
194
ref
subst
nil
787
remove
767
remove
cons
nil
cons
cons
175
ref
subst
747
ref
547
ref
appTerm
789
def
betaConv
749
ref
41
ref
appTerm
790
def
betaConv
751
ref
57
ref
appTerm
791
def
betaConv
753
ref
275
ref
appTerm
792
def
betaConv
755
ref
39
ref
appTerm
793
def
betaConv
nil
758
remove
111
ref
793
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
175
ref
subst
207
ref
208
ref
755
remove
nil
cons
cons
210
ref
cons
nil
cons
cons
205
ref
subst
eqMp
eqMp
nil
110
ref
754
remove
nil
cons
cons
111
ref
792
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
175
ref
subst
proveHyp
256
ref
257
ref
753
remove
nil
cons
cons
291
ref
cons
nil
cons
cons
205
ref
subst
eqMp
eqMp
nil
110
ref
752
remove
nil
cons
cons
111
ref
791
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
175
ref
subst
proveHyp
256
ref
257
ref
751
remove
nil
cons
cons
293
ref
cons
nil
cons
cons
205
ref
subst
eqMp
eqMp
nil
110
ref
750
remove
nil
cons
cons
111
ref
790
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
175
ref
subst
proveHyp
207
ref
208
ref
749
remove
nil
cons
cons
213
ref
cons
nil
cons
cons
205
ref
subst
eqMp
eqMp
nil
110
ref
748
remove
nil
cons
cons
111
ref
789
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
175
ref
subst
proveHyp
207
ref
208
ref
747
remove
nil
cons
cons
595
ref
cons
nil
cons
cons
205
ref
subst
eqMp
eqMp
eqMp
eqMp
nil
151
ref
757
remove
cons
794
def
153
ref
766
remove
cons
nil
cons
795
def
cons
nil
cons
cons
167
ref
subst
deductAntisym
eqMp
eqMp
nil
151
ref
786
remove
cons
153
ref
771
remove
cons
nil
cons
796
def
cons
nil
cons
cons
167
ref
subst
deductAntisym
eqMp
eqMp
eqMp
nil
151
ref
784
remove
cons
796
ref
cons
nil
cons
cons
167
ref
subst
deductAntisym
eqMp
eqMp
absThm
eqMp
nil
110
ref
65
ref
258
ref
71
ref
732
ref
258
ref
varTerm
797
def
appTerm
appTerm
770
ref
appTerm
absTerm
appTerm
nil
cons
cons
111
ref
71
ref
733
remove
appTerm
770
ref
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
175
ref
subst
proveHyp
256
ref
257
ref
732
remove
nil
cons
cons
796
ref
cons
nil
cons
cons
nil
717
remove
111
ref
71
ref
705
ref
appTerm
798
def
158
ref
appTerm
nil
cons
799
def
cons
nil
cons
cons
nil
cons
cons
800
def
126
ref
subst
800
remove
194
ref
subst
nil
110
ref
705
remove
nil
cons
801
def
cons
802
def
719
remove
cons
nil
cons
cons
803
def
126
ref
subst
803
remove
194
ref
subst
720
remove
175
ref
subst
111
ref
71
ref
184
ref
189
ref
711
remove
114
ref
appTerm
absTerm
appTerm
appTerm
114
ref
appTerm
absTerm
804
def
158
ref
appTerm
805
def
betaConv
nil
802
remove
111
ref
343
ref
804
ref
appTerm
806
def
nil
cons
807
def
cons
nil
cons
cons
nil
cons
cons
808
def
175
ref
subst
710
remove
nil
110
ref
706
remove
806
ref
appTerm
nil
cons
cons
111
ref
798
remove
806
remove
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
175
ref
subst
proveHyp
808
remove
nil
110
ref
323
remove
nil
cons
809
def
cons
111
ref
326
ref
cons
nil
cons
cons
nil
cons
cons
810
def
126
ref
subst
810
remove
194
ref
subst
325
remove
eqMp
nil
151
ref
809
remove
cons
153
ref
326
remove
cons
nil
cons
cons
nil
cons
cons
167
ref
subst
deductAntisym
eqMp
subst
eqMp
eqMp
nil
110
ref
807
remove
cons
111
ref
805
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
175
ref
subst
proveHyp
345
ref
346
ref
804
remove
nil
cons
cons
347
ref
718
remove
cons
nil
cons
cons
nil
cons
cons
205
ref
subst
eqMp
eqMp
eqMp
eqMp
nil
151
ref
801
remove
cons
723
remove
cons
nil
cons
cons
167
ref
subst
deductAntisym
eqMp
eqMp
nil
722
remove
153
ref
799
remove
cons
nil
cons
cons
nil
cons
cons
167
ref
subst
deductAntisym
eqMp
811
def
subst
eqMp
eqMp
eqMp
nil
151
ref
780
remove
cons
796
ref
cons
nil
cons
cons
167
ref
subst
deductAntisym
eqMp
eqMp
absThm
eqMp
nil
110
ref
65
ref
258
ref
71
ref
734
ref
797
ref
appTerm
appTerm
770
ref
appTerm
absTerm
appTerm
nil
cons
cons
111
ref
71
ref
735
remove
appTerm
770
ref
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
175
ref
subst
proveHyp
256
ref
257
ref
734
remove
nil
cons
cons
796
ref
cons
nil
cons
cons
811
ref
subst
eqMp
eqMp
eqMp
nil
151
ref
776
remove
cons
796
ref
cons
nil
cons
cons
167
ref
subst
deductAntisym
eqMp
eqMp
absThm
eqMp
nil
110
ref
99
ref
775
remove
appTerm
nil
cons
cons
111
ref
738
remove
770
remove
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
175
ref
subst
proveHyp
207
ref
208
ref
736
remove
nil
cons
cons
796
remove
cons
nil
cons
cons
811
ref
subst
eqMp
eqMp
eqMp
eqMp
nil
151
ref
764
remove
cons
795
remove
cons
nil
cons
cons
167
ref
subst
deductAntisym
eqMp
eqMp
absThm
eqMp
eqMp
absThm
eqMp
eqMp
nil
794
remove
153
ref
759
ref
cons
nil
cons
cons
nil
cons
cons
167
ref
subst
deductAntisym
eqMp
eqMp
nil
110
ref
759
remove
cons
111
ref
746
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
175
ref
subst
proveHyp
207
ref
761
remove
213
ref
cons
nil
cons
cons
205
ref
subst
eqMp
eqMp
nil
110
ref
762
remove
cons
111
ref
743
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
175
ref
subst
proveHyp
207
ref
763
remove
595
ref
cons
nil
cons
cons
205
ref
subst
eqMp
eqMp
subst
eqMp
nil
110
ref
727
remove
cons
693
remove
cons
nil
cons
cons
175
ref
subst
proveHyp
671
ref
71
ref
726
ref
appTerm
678
ref
appTerm
absTerm
812
def
672
ref
appTerm
813
def
betaConv
676
ref
68
ref
812
ref
appTerm
814
def
absTerm
815
def
677
ref
appTerm
816
def
betaConv
nil
68
ref
815
ref
appTerm
817
def
axiom
nil
110
ref
817
remove
nil
cons
cons
111
ref
816
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
175
ref
subst
proveHyp
261
ref
262
ref
815
remove
nil
cons
cons
263
ref
685
remove
cons
nil
cons
818
def
cons
nil
cons
cons
205
ref
subst
eqMp
eqMp
nil
110
ref
814
remove
nil
cons
cons
111
ref
813
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
175
ref
subst
proveHyp
261
ref
262
ref
812
remove
nil
cons
cons
263
ref
686
remove
cons
nil
cons
819
def
cons
nil
cons
cons
205
ref
subst
eqMp
eqMp
eqMp
proveHyp
proveHyp
eqMp
nil
151
ref
691
remove
cons
153
ref
692
remove
cons
nil
cons
cons
nil
cons
cons
167
ref
subst
deductAntisym
eqMp
eqMp
eqMp
absThm
eqMp
eqMp
absThm
eqMp
820
def
nil
110
ref
68
ref
682
remove
appTerm
821
def
nil
cons
822
def
cons
111
ref
683
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
175
ref
subst
proveHyp
261
ref
684
remove
263
ref
228
ref
cons
823
def
nil
cons
824
def
cons
nil
cons
cons
205
ref
subst
eqMp
eqMp
825
def
nil
110
ref
68
ref
674
ref
appTerm
nil
cons
cons
826
def
111
ref
675
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
175
ref
subst
proveHyp
261
ref
262
ref
674
ref
nil
cons
cons
827
def
263
ref
369
ref
cons
nil
cons
828
def
cons
nil
cons
cons
205
ref
subst
eqMp
eqMp
829
def
nil
110
ref
648
remove
468
ref
81
ref
appTerm
830
def
appTerm
nil
cons
cons
831
def
665
ref
cons
nil
cons
cons
175
ref
subst
proveHyp
226
ref
226
ref
216
ref
nil
139
ref
667
ref
cons
nil
cons
nil
cons
cons
146
ref
subst
77
ref
assume
832
def
eqMp
833
def
appThm
834
def
nil
139
ref
669
ref
cons
nil
cons
nil
cons
cons
146
ref
subst
646
ref
assume
eqMp
appThm
528
ref
trans
appThm
830
ref
refl
appThm
nil
139
ref
830
ref
nil
cons
835
def
cons
nil
cons
nil
cons
cons
139
ref
36
ref
71
ref
131
ref
appTerm
836
def
142
ref
appTerm
appTerm
142
ref
appTerm
absTerm
837
def
142
ref
appTerm
838
def
betaConv
nil
343
ref
837
ref
appTerm
839
def
axiom
nil
110
ref
839
remove
nil
cons
cons
111
ref
838
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
175
ref
subst
proveHyp
345
ref
346
ref
837
remove
nil
cons
cons
358
ref
cons
nil
cons
cons
205
ref
subst
eqMp
eqMp
840
def
subst
trans
appThm
841
def
376
ref
appThm
sym
nil
110
ref
835
ref
cons
842
def
665
ref
cons
nil
cons
cons
843
def
126
ref
subst
843
remove
194
ref
subst
36
ref
"_31986"
11
ref
var
844
def
37
ref
844
remove
varTerm
appTerm
81
ref
appTerm
absTerm
845
def
76
ref
appTerm
846
def
appTerm
refl
845
ref
81
ref
appTerm
betaConv
appThm
155
ref
846
remove
betaConv
appThm
37
ref
81
ref
appTerm
81
ref
appTerm
refl
appThm
trans
845
remove
refl
830
remove
assume
847
def
appThm
eqMp
sym
372
remove
nil
139
ref
631
remove
nil
cons
cons
nil
cons
nil
cons
cons
146
ref
subst
632
ref
233
ref
appTerm
848
def
betaConv
nil
635
remove
111
ref
848
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
175
ref
subst
261
ref
262
ref
632
remove
nil
cons
cons
265
ref
cons
nil
cons
cons
205
ref
subst
eqMp
eqMp
eqMp
subst
sym
145
ref
eqMp
eqMp
eqMp
nil
151
ref
835
remove
cons
849
def
153
ref
377
ref
cons
nil
cons
850
def
cons
nil
cons
cons
167
ref
subst
deductAntisym
eqMp
eqMp
eqMp
proveHyp
proveHyp
eqMp
nil
151
ref
664
remove
cons
850
ref
cons
nil
cons
cons
167
ref
subst
deductAntisym
eqMp
eqMp
absThm
eqMp
eqMp
absThm
eqMp
eqMp
absThm
eqMp
eqMp
eqMp
256
ref
257
ref
656
remove
nil
cons
cons
658
ref
cons
nil
cons
cons
724
ref
subst
proveHyp
eqMp
eqMp
absThm
eqMp
eqMp
nil
151
ref
634
remove
cons
153
ref
639
remove
cons
nil
cons
cons
nil
cons
cons
167
ref
subst
deductAntisym
eqMp
851
def
subst
eqMp
eqMp
852
def
nil
99
ref
29
ref
10
ref
39
ref
appTerm
853
def
39
ref
appTerm
854
def
absTerm
855
def
appTerm
856
def
thm
nil
543
remove
28
remove
30
remove
"w"
2
ref
var
857
def
27
remove
cons
nil
cons
cons
cons
cons
nil
cons
cons
858
def
542
ref
36
ref
"Hardware.Bus.and3"
const
1
ref
2
ref
534
ref
cons
opType
859
def
constTerm
860
def
857
ref
varTerm
861
def
appTerm
39
ref
appTerm
41
ref
appTerm
547
ref
appTerm
862
def
appTerm
725
ref
"wx"
2
ref
var
863
def
49
ref
532
ref
861
ref
appTerm
864
def
39
ref
appTerm
865
def
863
ref
varTerm
866
def
appTerm
867
def
appTerm
868
def
532
ref
866
ref
appTerm
869
def
41
ref
appTerm
547
ref
appTerm
870
def
appTerm
871
def
absTerm
872
def
appTerm
873
def
appTerm
absTerm
874
def
547
ref
appTerm
875
def
betaConv
26
ref
99
ref
874
ref
appTerm
876
def
absTerm
877
def
41
ref
appTerm
878
def
betaConv
29
ref
99
ref
877
ref
appTerm
879
def
absTerm
880
def
39
ref
appTerm
881
def
betaConv
857
ref
99
ref
880
ref
appTerm
882
def
absTerm
883
def
861
ref
appTerm
884
def
betaConv
nil
99
ref
883
ref
appTerm
885
def
axiom
nil
110
ref
885
remove
nil
cons
cons
111
ref
884
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
175
ref
subst
proveHyp
207
ref
208
ref
883
remove
nil
cons
cons
29
ref
861
ref
nil
cons
cons
nil
cons
886
def
cons
nil
cons
cons
205
ref
subst
eqMp
eqMp
nil
110
ref
882
remove
nil
cons
cons
111
ref
881
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
175
ref
subst
proveHyp
207
ref
208
ref
880
remove
nil
cons
cons
210
ref
cons
nil
cons
cons
205
ref
subst
eqMp
eqMp
nil
110
ref
879
remove
nil
cons
cons
111
ref
878
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
175
ref
subst
proveHyp
207
ref
208
ref
877
remove
nil
cons
cons
213
ref
cons
nil
cons
cons
205
ref
subst
eqMp
eqMp
nil
110
ref
876
remove
nil
cons
cons
111
ref
875
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
175
ref
subst
proveHyp
207
ref
208
ref
874
remove
nil
cons
cons
595
ref
cons
nil
cons
cons
205
ref
subst
eqMp
eqMp
887
def
subst
sym
863
ref
49
ref
604
ref
866
ref
appTerm
appTerm
888
def
869
ref
20
ref
appTerm
20
ref
appTerm
appTerm
absTerm
889
def
20
ref
appTerm
betaConv
sym
nil
139
ref
605
ref
nil
cons
cons
nil
cons
nil
cons
cons
890
def
402
ref
subst
890
remove
146
ref
subst
603
remove
eqMp
891
def
trans
sym
145
ref
eqMp
eqMp
207
ref
208
ref
889
remove
nil
cons
cons
31
ref
cons
nil
cons
cons
724
ref
subst
proveHyp
eqMp
nil
860
ref
20
ref
appTerm
20
ref
appTerm
20
ref
appTerm
20
ref
appTerm
thm
858
ref
542
ref
36
ref
"Hardware.Bus.majority3"
const
859
ref
constTerm
892
def
861
ref
appTerm
39
ref
appTerm
41
ref
appTerm
547
ref
appTerm
893
def
appTerm
725
ref
863
ref
725
ref
"wy"
2
ref
var
894
def
725
ref
"xy"
2
ref
var
895
def
868
ref
49
ref
864
remove
41
ref
appTerm
896
def
894
ref
varTerm
897
def
appTerm
898
def
appTerm
899
def
49
ref
532
ref
39
ref
appTerm
900
def
41
ref
appTerm
901
def
895
ref
varTerm
902
def
appTerm
903
def
appTerm
904
def
"Hardware.Bus.or3"
const
859
ref
constTerm
905
def
866
ref
appTerm
906
def
897
ref
appTerm
907
def
902
ref
appTerm
908
def
547
ref
appTerm
909
def
appTerm
910
def
appTerm
911
def
appTerm
912
def
absTerm
913
def
appTerm
914
def
absTerm
915
def
appTerm
916
def
absTerm
917
def
appTerm
918
def
appTerm
absTerm
919
def
547
ref
appTerm
920
def
betaConv
26
ref
99
ref
919
ref
appTerm
921
def
absTerm
922
def
41
ref
appTerm
923
def
betaConv
29
ref
99
ref
922
ref
appTerm
924
def
absTerm
925
def
39
ref
appTerm
926
def
betaConv
857
ref
99
ref
925
ref
appTerm
927
def
absTerm
928
def
861
ref
appTerm
929
def
betaConv
nil
99
ref
928
ref
appTerm
930
def
axiom
nil
110
ref
930
remove
nil
cons
cons
111
ref
929
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
175
ref
subst
proveHyp
207
ref
208
ref
928
remove
nil
cons
cons
886
ref
cons
nil
cons
cons
205
ref
subst
eqMp
eqMp
nil
110
ref
927
remove
nil
cons
cons
111
ref
926
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
175
ref
subst
proveHyp
207
ref
208
ref
925
remove
nil
cons
cons
210
ref
cons
nil
cons
cons
205
ref
subst
eqMp
eqMp
nil
110
ref
924
remove
nil
cons
cons
111
ref
923
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
175
ref
subst
proveHyp
207
ref
208
ref
922
remove
nil
cons
cons
213
ref
cons
nil
cons
cons
205
ref
subst
eqMp
eqMp
nil
110
ref
921
remove
nil
cons
cons
111
ref
920
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
175
ref
subst
proveHyp
207
ref
208
ref
919
remove
nil
cons
cons
595
ref
cons
nil
cons
cons
205
ref
subst
eqMp
eqMp
931
def
subst
sym
863
ref
725
ref
894
ref
725
ref
895
ref
888
remove
49
ref
604
ref
897
ref
appTerm
appTerm
932
def
49
ref
604
remove
902
ref
appTerm
appTerm
933
def
908
ref
20
ref
appTerm
appTerm
appTerm
appTerm
absTerm
appTerm
absTerm
appTerm
absTerm
934
def
20
ref
appTerm
betaConv
sym
894
ref
725
ref
895
ref
49
ref
605
remove
appTerm
935
def
932
remove
933
ref
905
ref
20
ref
appTerm
936
def
897
ref
appTerm
902
ref
appTerm
20
ref
appTerm
appTerm
appTerm
appTerm
absTerm
appTerm
absTerm
937
def
20
ref
appTerm
betaConv
sym
895
ref
935
ref
935
remove
933
remove
936
remove
20
ref
appTerm
938
def
902
ref
appTerm
20
ref
appTerm
appTerm
appTerm
appTerm
absTerm
939
def
20
ref
appTerm
betaConv
sym
216
ref
891
remove
appThm
940
def
940
ref
940
remove
nil
139
ref
938
remove
20
ref
appTerm
20
ref
appTerm
941
def
nil
cons
cons
nil
cons
nil
cons
cons
146
ref
subst
858
ref
542
ref
36
ref
905
ref
861
ref
appTerm
39
ref
appTerm
41
ref
appTerm
547
ref
appTerm
942
def
appTerm
725
ref
863
ref
49
ref
606
ref
861
ref
appTerm
943
def
39
ref
appTerm
944
def
866
ref
appTerm
945
def
appTerm
946
def
606
ref
866
ref
appTerm
947
def
41
ref
appTerm
547
ref
appTerm
948
def
appTerm
949
def
absTerm
950
def
appTerm
951
def
appTerm
absTerm
952
def
547
ref
appTerm
953
def
betaConv
26
ref
99
ref
952
ref
appTerm
954
def
absTerm
955
def
41
ref
appTerm
956
def
betaConv
29
ref
99
ref
955
ref
appTerm
957
def
absTerm
958
def
39
ref
appTerm
959
def
betaConv
857
ref
99
ref
958
ref
appTerm
960
def
absTerm
961
def
861
ref
appTerm
962
def
betaConv
nil
99
ref
961
ref
appTerm
963
def
axiom
nil
110
ref
963
remove
nil
cons
cons
111
ref
962
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
175
ref
subst
proveHyp
207
ref
208
ref
961
remove
nil
cons
cons
886
ref
cons
nil
cons
cons
205
ref
subst
eqMp
eqMp
nil
110
ref
960
remove
nil
cons
cons
111
ref
959
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
175
ref
subst
proveHyp
207
ref
208
ref
958
remove
nil
cons
cons
210
ref
cons
nil
cons
cons
205
ref
subst
eqMp
eqMp
nil
110
ref
957
remove
nil
cons
cons
111
ref
956
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
175
ref
subst
proveHyp
207
ref
208
ref
955
remove
nil
cons
cons
213
ref
cons
nil
cons
cons
205
ref
subst
eqMp
eqMp
nil
110
ref
954
remove
nil
cons
cons
111
ref
953
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
175
ref
subst
proveHyp
207
ref
208
ref
952
remove
nil
cons
cons
595
ref
cons
nil
cons
cons
205
ref
subst
eqMp
eqMp
964
def
subst
sym
863
ref
49
ref
613
remove
866
ref
appTerm
appTerm
947
ref
20
ref
appTerm
20
ref
appTerm
appTerm
absTerm
965
def
20
ref
appTerm
betaConv
sym
nil
139
ref
614
remove
nil
cons
cons
nil
cons
nil
cons
cons
966
def
402
ref
subst
966
remove
146
ref
subst
612
remove
eqMp
trans
sym
145
ref
eqMp
eqMp
207
ref
208
ref
965
remove
nil
cons
cons
31
ref
cons
nil
cons
cons
724
ref
subst
proveHyp
eqMp
967
def
eqMp
appThm
528
ref
trans
appThm
528
ref
trans
appThm
528
ref
trans
sym
145
ref
eqMp
eqMp
207
ref
208
ref
939
remove
nil
cons
cons
31
ref
cons
nil
cons
cons
724
ref
subst
proveHyp
eqMp
207
ref
208
ref
937
remove
nil
cons
cons
31
ref
cons
nil
cons
cons
724
ref
subst
proveHyp
eqMp
207
ref
208
ref
934
remove
nil
cons
cons
31
ref
cons
nil
cons
cons
724
ref
subst
proveHyp
eqMp
nil
892
ref
20
ref
appTerm
20
ref
appTerm
20
ref
appTerm
20
ref
appTerm
thm
967
remove
nil
941
remove
thm
858
remove
542
ref
36
ref
"Hardware.Bus.xor3"
const
859
remove
constTerm
968
def
861
ref
appTerm
39
ref
appTerm
41
ref
appTerm
547
ref
appTerm
969
def
appTerm
725
ref
863
ref
49
ref
615
ref
861
ref
appTerm
970
def
39
ref
appTerm
971
def
866
ref
appTerm
972
def
appTerm
973
def
615
ref
866
ref
appTerm
974
def
41
ref
appTerm
547
ref
appTerm
975
def
appTerm
976
def
absTerm
977
def
appTerm
978
def
appTerm
absTerm
979
def
547
ref
appTerm
980
def
betaConv
26
ref
99
ref
979
ref
appTerm
981
def
absTerm
982
def
41
ref
appTerm
983
def
betaConv
29
ref
99
ref
982
ref
appTerm
984
def
absTerm
985
def
39
ref
appTerm
986
def
betaConv
857
ref
99
ref
985
ref
appTerm
987
def
absTerm
988
def
861
ref
appTerm
989
def
betaConv
nil
99
ref
988
ref
appTerm
990
def
axiom
nil
110
ref
990
remove
nil
cons
cons
111
ref
989
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
175
ref
subst
proveHyp
207
ref
208
ref
988
remove
nil
cons
cons
886
ref
cons
nil
cons
cons
205
ref
subst
eqMp
eqMp
nil
110
ref
987
remove
nil
cons
cons
111
ref
986
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
175
ref
subst
proveHyp
207
ref
208
ref
985
remove
nil
cons
cons
210
ref
cons
nil
cons
cons
205
ref
subst
eqMp
eqMp
nil
110
ref
984
remove
nil
cons
cons
111
ref
983
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
175
ref
subst
proveHyp
207
ref
208
ref
982
remove
nil
cons
cons
213
ref
cons
nil
cons
cons
205
ref
subst
eqMp
eqMp
nil
110
ref
981
remove
nil
cons
cons
111
ref
980
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
175
ref
subst
proveHyp
207
ref
208
ref
979
remove
nil
cons
cons
595
ref
cons
nil
cons
cons
205
ref
subst
eqMp
eqMp
991
def
subst
sym
863
ref
49
ref
622
remove
866
ref
appTerm
appTerm
974
ref
20
ref
appTerm
20
ref
appTerm
appTerm
absTerm
992
def
20
ref
appTerm
betaConv
sym
nil
139
ref
623
remove
nil
cons
cons
nil
cons
nil
cons
cons
993
def
402
ref
subst
993
remove
146
ref
subst
621
remove
eqMp
trans
sym
145
ref
eqMp
eqMp
207
ref
208
ref
992
remove
nil
cons
cons
31
ref
cons
nil
cons
cons
724
ref
subst
proveHyp
eqMp
nil
968
ref
20
ref
appTerm
20
ref
appTerm
20
ref
appTerm
20
ref
appTerm
thm
108
ref
refl
994
def
22
ref
434
ref
absThm
appThm
383
ref
177
ref
384
ref
cons
995
def
389
ref
subst
subst
trans
sym
145
ref
eqMp
nil
108
ref
22
ref
38
ref
20
ref
appTerm
996
def
20
ref
appTerm
absTerm
appTerm
thm
624
ref
29
ref
725
ref
refl
997
def
26
ref
626
remove
41
ref
refl
998
def
appThm
999
def
absThm
appThm
absThm
appThm
sym
nil
68
ref
263
ref
43
ref
67
remove
constTerm
1000
def
"y"
11
ref
var
1001
def
628
remove
1001
ref
varTerm
1002
def
appTerm
1003
def
absTerm
appTerm
absTerm
appTerm
axiom
nil
110
ref
68
ref
69
ref
1000
ref
70
ref
17
ref
76
ref
appTerm
81
ref
appTerm
1004
def
absTerm
appTerm
absTerm
appTerm
nil
cons
cons
111
ref
99
ref
29
ref
725
ref
26
ref
629
remove
41
ref
appTerm
1005
def
absTerm
appTerm
absTerm
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
175
ref
subst
proveHyp
25
ref
nil
110
ref
68
ref
69
ref
1000
ref
70
ref
85
ref
absTerm
appTerm
absTerm
1006
def
appTerm
1007
def
nil
cons
1008
def
cons
1009
def
111
ref
99
ref
29
ref
725
ref
26
ref
42
ref
absTerm
appTerm
1010
def
absTerm
1011
def
appTerm
1012
def
nil
cons
1013
def
cons
nil
cons
cons
nil
cons
cons
1014
def
126
ref
subst
1014
remove
194
ref
subst
nil
208
ref
1011
ref
nil
cons
cons
nil
cons
nil
cons
cons
643
ref
subst
29
ref
nil
139
ref
1010
ref
nil
cons
1015
def
cons
nil
cons
nil
cons
cons
146
ref
subst
nil
404
ref
657
ref
cons
nil
cons
nil
cons
cons
391
ref
431
remove
subst
subst
1016
def
nil
110
ref
47
ref
258
ref
56
ref
797
ref
appTerm
absTerm
1017
def
appTerm
nil
cons
cons
111
ref
1015
ref
cons
nil
cons
1018
def
cons
nil
cons
cons
175
ref
subst
proveHyp
155
ref
226
ref
215
ref
493
ref
493
ref
56
ref
496
ref
appTerm
1019
def
absTerm
1020
def
496
ref
appTerm
betaConv
1021
def
absThm
appThm
appThm
1022
def
1010
ref
refl
1023
def
appThm
appThm
224
ref
258
ref
226
ref
1017
ref
797
ref
appTerm
betaConv
appThm
1023
ref
appThm
absThm
appThm
appThm
nil
"p"
45
ref
var
1024
def
1017
remove
nil
cons
cons
1018
ref
cons
nil
cons
cons
391
ref
111
ref
36
ref
71
ref
405
ref
189
ref
707
ref
absTerm
appTerm
appTerm
114
ref
appTerm
appTerm
708
remove
appTerm
absTerm
1025
def
114
ref
appTerm
1026
def
betaConv
196
ref
343
ref
1025
ref
appTerm
1027
def
absTerm
1028
def
197
ref
appTerm
1029
def
betaConv
nil
64
ref
200
remove
constTerm
1030
def
1028
ref
appTerm
1031
def
axiom
nil
110
ref
1031
remove
nil
cons
cons
111
ref
1029
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
175
ref
subst
proveHyp
"A"
406
remove
cons
nil
cons
1032
def
"P"
183
remove
var
1033
def
1028
remove
nil
cons
cons
"x"
182
ref
var
1034
def
197
ref
nil
cons
cons
nil
cons
1035
def
cons
nil
cons
cons
205
ref
subst
eqMp
eqMp
nil
110
ref
1027
remove
nil
cons
cons
111
ref
1026
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
175
ref
subst
proveHyp
345
ref
346
ref
1025
remove
nil
cons
cons
347
ref
148
remove
cons
nil
cons
1036
def
cons
nil
cons
cons
205
ref
subst
eqMp
eqMp
subst
1037
def
subst
eqMp
sym
nil
257
ref
48
ref
71
ref
58
ref
appTerm
1010
ref
appTerm
1038
def
absTerm
nil
cons
cons
nil
cons
nil
cons
cons
662
ref
subst
48
ref
nil
139
ref
1038
ref
nil
cons
cons
nil
cons
nil
cons
cons
146
ref
subst
29
ref
1038
remove
absTerm
1039
def
39
ref
appTerm
1040
def
betaConv
48
ref
99
ref
1039
ref
appTerm
1041
def
absTerm
1042
def
57
ref
appTerm
1043
def
betaConv
1044
def
nil
208
ref
29
ref
71
ref
56
ref
220
ref
appTerm
1045
def
appTerm
1010
ref
appTerm
1046
def
absTerm
1047
def
nil
cons
cons
nil
cons
nil
cons
cons
643
ref
subst
29
ref
nil
139
ref
1046
remove
nil
cons
cons
nil
cons
nil
cons
cons
146
ref
subst
226
ref
29
ref
36
ref
1045
ref
appTerm
280
ref
appTerm
absTerm
1048
def
39
ref
appTerm
1049
def
betaConv
nil
99
ref
1048
ref
appTerm
1050
def
axiom
nil
110
ref
1050
remove
nil
cons
cons
111
ref
1049
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
175
ref
subst
proveHyp
207
ref
208
ref
1048
remove
nil
cons
cons
210
ref
cons
nil
cons
cons
205
ref
subst
eqMp
eqMp
1051
def
appThm
1052
def
1023
ref
appThm
sym
nil
110
ref
280
ref
nil
cons
1053
def
cons
1054
def
1018
ref
cons
nil
cons
cons
1055
def
126
ref
subst
1055
remove
194
ref
subst
36
ref
"_31968"
2
ref
var
1056
def
725
ref
26
ref
38
ref
1056
remove
varTerm
appTerm
41
ref
appTerm
absTerm
appTerm
absTerm
1057
def
39
ref
appTerm
1058
def
appTerm
refl
1059
def
1057
remove
20
ref
appTerm
betaConv
appThm
155
ref
1058
remove
betaConv
appThm
1060
def
725
ref
26
ref
996
remove
41
ref
appTerm
absTerm
1061
def
appTerm
refl
appThm
trans
1011
remove
refl
1062
def
280
ref
assume
1063
def
appThm
eqMp
sym
1061
ref
20
ref
appTerm
betaConv
sym
435
remove
eqMp
207
ref
208
ref
1061
remove
nil
cons
cons
31
ref
cons
nil
cons
cons
724
ref
subst
proveHyp
eqMp
eqMp
nil
151
ref
1053
remove
cons
1064
def
153
ref
1015
remove
cons
nil
cons
1065
def
cons
nil
cons
cons
167
ref
subst
deductAntisym
eqMp
eqMp
eqMp
absThm
eqMp
nil
110
ref
99
ref
1047
remove
appTerm
1066
def
nil
cons
cons
111
ref
65
ref
48
ref
71
ref
1041
ref
appTerm
99
ref
29
ref
71
ref
56
ref
309
ref
appTerm
1067
def
appTerm
1010
ref
appTerm
1068
def
absTerm
1069
def
appTerm
1070
def
appTerm
1071
def
absTerm
1072
def
appTerm
1073
def
nil
cons
cons
nil
cons
cons
nil
cons
cons
194
ref
subst
proveHyp
nil
257
ref
1072
remove
nil
cons
cons
nil
cons
nil
cons
cons
662
ref
subst
48
ref
nil
139
ref
1071
remove
nil
cons
cons
nil
cons
nil
cons
cons
146
ref
subst
nil
110
ref
1041
ref
nil
cons
1074
def
cons
1075
def
111
ref
1070
remove
nil
cons
1076
def
cons
nil
cons
cons
nil
cons
cons
1077
def
126
ref
subst
1077
remove
194
ref
subst
nil
208
ref
1069
remove
nil
cons
cons
nil
cons
nil
cons
cons
643
ref
subst
29
ref
nil
139
ref
1068
remove
nil
cons
cons
nil
cons
nil
cons
cons
146
ref
subst
226
ref
29
ref
36
ref
1067
ref
appTerm
1000
ref
227
ref
725
ref
26
ref
49
ref
279
ref
"Hardware.Bus.append"
const
1
ref
2
ref
1
ref
2
ref
206
ref
cons
opType
nil
cons
cons
opType
constTerm
1078
def
243
ref
appTerm
1079
def
41
ref
appTerm
1080
def
appTerm
1081
def
appTerm
1082
def
62
ref
appTerm
1083
def
absTerm
1084
def
appTerm
1085
def
absTerm
1086
def
appTerm
1087
def
appTerm
absTerm
1088
def
39
ref
appTerm
1089
def
betaConv
48
ref
99
ref
1088
ref
appTerm
1090
def
absTerm
1091
def
57
ref
appTerm
1092
def
betaConv
nil
65
ref
1091
ref
appTerm
1093
def
axiom
nil
110
ref
1093
remove
nil
cons
cons
111
ref
1092
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
175
ref
subst
proveHyp
256
ref
257
ref
1091
remove
nil
cons
cons
293
ref
cons
nil
cons
cons
205
ref
subst
eqMp
eqMp
nil
110
ref
1090
remove
nil
cons
cons
111
ref
1089
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
175
ref
subst
proveHyp
207
ref
208
ref
1088
remove
nil
cons
cons
210
ref
cons
nil
cons
cons
205
ref
subst
eqMp
eqMp
1094
def
appThm
1095
def
1023
remove
appThm
sym
nil
262
ref
227
ref
71
ref
1086
ref
233
ref
appTerm
1096
def
appTerm
1010
ref
appTerm
1097
def
absTerm
nil
cons
cons
nil
cons
nil
cons
cons
663
ref
subst
227
ref
nil
139
ref
1097
remove
nil
cons
cons
nil
cons
nil
cons
cons
146
ref
subst
nil
110
ref
1096
ref
nil
cons
1098
def
cons
1018
ref
cons
nil
cons
cons
1099
def
126
ref
subst
1099
remove
194
ref
subst
1096
ref
betaConv
1096
remove
assume
eqMp
nil
110
ref
1085
ref
nil
cons
cons
1018
ref
cons
nil
cons
cons
175
ref
subst
proveHyp
nil
208
ref
26
ref
71
ref
1084
ref
41
ref
appTerm
1100
def
appTerm
1010
ref
appTerm
1101
def
absTerm
nil
cons
cons
nil
cons
nil
cons
cons
643
ref
subst
26
ref
nil
139
ref
1101
remove
nil
cons
cons
nil
cons
nil
cons
cons
146
ref
subst
nil
110
ref
1100
ref
nil
cons
1102
def
cons
1018
ref
cons
nil
cons
cons
1103
def
126
ref
subst
1103
remove
194
ref
subst
1100
ref
betaConv
1100
remove
assume
eqMp
nil
110
ref
1083
remove
nil
cons
1104
def
cons
1018
remove
cons
nil
cons
cons
1105
def
175
ref
subst
proveHyp
1105
ref
126
ref
subst
1105
remove
194
ref
subst
nil
151
ref
1081
ref
nil
cons
cons
1106
def
153
ref
62
ref
nil
cons
1107
def
cons
nil
cons
1108
def
cons
nil
cons
cons
1109
def
167
ref
subst
1109
remove
334
ref
subst
1059
remove
"_31980"
2
ref
var
1110
def
725
ref
26
ref
38
ref
1110
remove
varTerm
appTerm
41
ref
appTerm
absTerm
appTerm
absTerm
1080
ref
appTerm
betaConv
appThm
1060
remove
725
ref
"y'"
2
ref
var
1111
def
38
ref
1080
ref
appTerm
1112
def
1111
ref
varTerm
1113
def
appTerm
absTerm
1114
def
appTerm
1115
def
refl
1116
def
appThm
trans
1062
remove
1081
remove
assume
1117
def
appThm
eqMp
sym
29
ref
71
ref
450
ref
appTerm
1118
def
1010
ref
appTerm
absTerm
1119
def
41
ref
appTerm
1120
def
betaConv
36
ref
"_31976"
44
ref
var
1121
def
99
ref
29
ref
71
ref
56
ref
1121
remove
varTerm
appTerm
appTerm
1010
ref
appTerm
absTerm
appTerm
absTerm
1122
def
57
ref
appTerm
appTerm
refl
1122
ref
60
ref
appTerm
betaConv
appThm
155
ref
1044
ref
appThm
99
ref
1119
ref
appTerm
1123
def
refl
appThm
trans
1122
remove
refl
62
ref
assume
1124
def
sym
appThm
eqMp
1041
remove
assume
eqMp
nil
110
ref
1123
remove
nil
cons
cons
111
ref
1120
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
175
ref
subst
proveHyp
207
ref
208
ref
1119
remove
nil
cons
cons
213
ref
cons
nil
cons
cons
205
ref
subst
eqMp
eqMp
nil
110
ref
71
ref
61
ref
60
ref
appTerm
appTerm
725
ref
1111
ref
38
ref
41
ref
appTerm
1125
def
1113
ref
appTerm
absTerm
1126
def
appTerm
1127
def
appTerm
nil
cons
cons
111
ref
1115
ref
nil
cons
1128
def
cons
nil
cons
1129
def
cons
nil
cons
cons
175
ref
subst
proveHyp
226
ref
nil
110
ref
1127
ref
nil
cons
cons
258
ref
60
ref
nil
cons
1130
def
cons
nil
cons
1131
def
cons
nil
cons
cons
391
ref
226
ref
488
ref
appThm
124
remove
appThm
141
remove
840
ref
subst
trans
subst
subst
appThm
1116
remove
appThm
sym
nil
208
ref
542
ref
71
ref
1126
ref
547
ref
appTerm
1132
def
appTerm
1115
ref
appTerm
1133
def
absTerm
nil
cons
cons
nil
cons
nil
cons
cons
643
ref
subst
542
ref
nil
139
ref
1133
remove
nil
cons
cons
nil
cons
nil
cons
cons
146
ref
subst
nil
110
ref
1132
ref
nil
cons
1134
def
cons
1129
ref
cons
nil
cons
cons
1135
def
126
ref
subst
1135
remove
194
ref
subst
1132
ref
betaConv
1132
remove
assume
eqMp
nil
110
ref
1125
remove
547
ref
appTerm
1136
def
nil
cons
1137
def
cons
1129
ref
cons
nil
cons
cons
1138
def
175
ref
subst
proveHyp
1138
ref
126
ref
subst
1138
remove
194
ref
subst
1006
ref
233
ref
appTerm
1139
def
betaConv
nil
1009
remove
111
ref
1139
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
175
ref
subst
261
ref
262
ref
1006
remove
nil
cons
cons
265
ref
cons
nil
cons
cons
205
ref
subst
eqMp
eqMp
nil
110
ref
1000
ref
70
ref
630
ref
81
ref
appTerm
absTerm
1140
def
appTerm
1141
def
nil
cons
cons
1129
ref
cons
nil
cons
cons
175
ref
subst
proveHyp
nil
262
ref
263
ref
71
ref
1140
ref
627
ref
appTerm
1142
def
appTerm
1115
ref
appTerm
1143
def
absTerm
1144
def
nil
cons
cons
nil
cons
nil
cons
cons
663
ref
subst
263
ref
nil
139
ref
1143
remove
nil
cons
cons
nil
cons
nil
cons
cons
146
ref
subst
nil
110
ref
1142
ref
nil
cons
1145
def
cons
1129
ref
cons
nil
cons
cons
1146
def
126
ref
subst
1146
remove
194
ref
subst
1142
ref
betaConv
1142
remove
assume
eqMp
nil
110
ref
630
remove
627
ref
appTerm
1147
def
nil
cons
1148
def
cons
1149
def
1129
remove
cons
nil
cons
cons
1150
def
175
ref
subst
proveHyp
1150
ref
126
ref
subst
1150
remove
194
ref
subst
1114
ref
1078
ref
242
ref
627
ref
appTerm
1151
def
appTerm
547
ref
appTerm
1152
def
appTerm
betaConv
sym
216
ref
155
ref
nil
26
ref
1151
ref
nil
cons
1153
def
cons
268
ref
nil
cons
1154
def
cons
1155
def
nil
cons
cons
214
ref
subst
215
ref
48
ref
216
ref
217
ref
227
ref
52
ref
54
ref
243
ref
appTerm
1156
def
appTerm
1157
def
240
ref
appTerm
1158
def
absTerm
1159
def
233
ref
appTerm
1160
def
betaConv
nil
68
ref
1159
ref
appTerm
1161
def
axiom
nil
110
ref
1161
remove
nil
cons
cons
111
ref
1160
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
175
ref
subst
proveHyp
261
ref
262
ref
1159
remove
nil
cons
cons
265
ref
cons
nil
cons
cons
205
ref
subst
eqMp
eqMp
1162
def
appThm
1163
def
222
ref
appThm
appThm
1164
def
216
ref
217
ref
nil
227
ref
627
ref
nil
cons
1165
def
cons
1166
def
nil
cons
1167
def
nil
cons
cons
1162
ref
subst
appThm
1168
def
222
ref
appThm
appThm
1169
def
224
ref
66
ref
225
ref
69
ref
225
ref
70
ref
226
ref
216
ref
nil
"v"
11
ref
var
1170
def
228
remove
cons
1171
def
nil
cons
nil
cons
cons
1172
def
155
ref
72
ref
refl
nil
1154
ref
nil
cons
cons
1173
def
29
ref
279
ref
1078
ref
39
ref
appTerm
1174
def
20
ref
appTerm
1175
def
appTerm
1176
def
absTerm
1177
def
39
ref
appTerm
1178
def
betaConv
624
ref
29
ref
1176
remove
assume
sym
278
ref
1175
remove
appTerm
39
ref
appTerm
1179
def
assume
sym
deductAntisym
absThm
appThm
nil
99
ref
29
ref
1179
remove
absTerm
appTerm
axiom
eqMp
nil
110
ref
99
ref
1177
ref
appTerm
nil
cons
cons
111
ref
1178
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
175
ref
subst
proveHyp
207
ref
208
ref
1177
remove
nil
cons
cons
210
ref
cons
nil
cons
cons
205
ref
subst
eqMp
eqMp
subst
appThm
74
ref
refl
1180
def
appThm
1170
ref
varTerm
1181
def
refl
1182
def
appThm
appThm
296
ref
467
ref
1181
ref
appTerm
233
ref
appTerm
1183
def
appTerm
1184
def
refl
appThm
sym
493
ref
"Data.Bool.\\/"
const
35
ref
constTerm
1185
def
501
ref
appTerm
47
ref
48
ref
500
ref
309
ref
appTerm
1186
def
absTerm
1187
def
appTerm
1188
def
appTerm
1189
def
absTerm
1190
def
74
ref
appTerm
1191
def
betaConv
nil
65
ref
1190
ref
appTerm
1192
def
axiom
1193
def
nil
110
ref
1192
remove
nil
cons
cons
1194
def
111
ref
1191
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
175
ref
subst
proveHyp
256
ref
257
ref
1190
ref
nil
cons
cons
1195
def
260
ref
cons
nil
cons
cons
205
ref
subst
eqMp
eqMp
nil
110
ref
1185
ref
295
ref
appTerm
47
ref
48
ref
294
ref
309
ref
appTerm
1196
def
absTerm
1197
def
appTerm
1198
def
appTerm
nil
cons
1199
def
cons
111
ref
36
ref
72
ref
1079
ref
20
ref
appTerm
appTerm
1200
def
74
ref
appTerm
1181
ref
appTerm
appTerm
1184
ref
appTerm
1201
def
nil
cons
1202
def
cons
nil
cons
1203
def
cons
nil
cons
cons
1204
def
175
ref
subst
proveHyp
1204
ref
126
ref
subst
1204
remove
194
ref
subst
nil
257
ref
48
ref
71
ref
1197
ref
57
ref
appTerm
1205
def
appTerm
1201
ref
appTerm
1206
def
absTerm
nil
cons
cons
nil
cons
nil
cons
cons
662
ref
subst
48
ref
nil
139
ref
1206
remove
nil
cons
cons
nil
cons
nil
cons
cons
146
ref
subst
nil
110
ref
1205
ref
nil
cons
1207
def
cons
1203
ref
cons
nil
cons
cons
1208
def
126
ref
subst
1208
remove
194
ref
subst
1205
ref
betaConv
1205
remove
assume
eqMp
nil
110
ref
1196
ref
nil
cons
1209
def
cons
1203
ref
cons
nil
cons
cons
1210
def
175
ref
subst
proveHyp
1210
ref
126
ref
subst
1210
remove
194
ref
subst
155
ref
1200
remove
refl
1211
def
1196
remove
assume
1212
def
appThm
1182
ref
appThm
nil
66
ref
292
ref
cons
1213
def
31
ref
cons
nil
cons
cons
155
ref
nil
227
ref
1181
ref
nil
cons
1214
def
cons
1215
def
66
ref
300
ref
74
ref
appTerm
1216
def
nil
cons
cons
1217
def
29
ref
1079
ref
39
ref
appTerm
1218
def
nil
cons
cons
nil
cons
1219
def
cons
cons
nil
cons
cons
266
ref
subst
235
ref
1218
ref
appTerm
1220
def
refl
1221
def
nil
495
ref
nil
cons
cons
1222
def
493
ref
52
ref
300
ref
496
ref
appTerm
1223
def
appTerm
1224
def
497
ref
240
ref
appTerm
1225
def
appTerm
1226
def
absTerm
1227
def
496
ref
appTerm
1228
def
betaConv
nil
65
ref
1227
ref
appTerm
1229
def
axiom
1230
def
nil
110
ref
1229
remove
nil
cons
cons
111
ref
1228
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
175
ref
subst
proveHyp
256
ref
257
ref
1227
remove
nil
cons
cons
509
ref
cons
nil
cons
cons
205
ref
subst
eqMp
eqMp
1231
def
subst
1232
def
appThm
nil
270
ref
nil
cons
nil
cons
cons
1233
def
222
ref
subst
1234
def
appThm
242
ref
1181
ref
appTerm
1235
def
refl
1236
def
appThm
trans
appThm
nil
1215
ref
nil
cons
nil
cons
cons
266
ref
subst
appThm
sym
155
ref
1221
ref
nil
270
ref
495
ref
cons
nil
cons
cons
48
ref
499
ref
456
ref
57
ref
appTerm
1237
def
496
ref
appTerm
appTerm
absTerm
1238
def
57
ref
appTerm
1239
def
betaConv
493
ref
65
ref
1238
ref
appTerm
1240
def
absTerm
1241
def
496
ref
appTerm
1242
def
betaConv
nil
65
ref
1241
ref
appTerm
1243
def
axiom
1244
def
nil
110
ref
1243
remove
nil
cons
cons
1245
def
111
ref
1242
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
175
ref
subst
proveHyp
256
ref
257
ref
1241
ref
nil
cons
cons
1246
def
509
ref
cons
nil
cons
cons
205
ref
subst
eqMp
eqMp
nil
110
ref
1240
remove
nil
cons
cons
111
ref
1239
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
175
ref
subst
proveHyp
256
ref
257
ref
1238
remove
nil
cons
cons
293
ref
cons
nil
cons
cons
205
ref
subst
eqMp
eqMp
1247
def
subst
appThm
1234
ref
appThm
1236
ref
appThm
appThm
241
ref
1235
ref
appTerm
1248
def
refl
1249
def
appThm
sym
542
ref
36
ref
1220
ref
456
ref
1156
ref
appTerm
1250
def
74
ref
appTerm
appTerm
1251
def
240
ref
appTerm
1252
def
547
ref
appTerm
appTerm
241
ref
547
ref
appTerm
appTerm
absTerm
1253
def
1235
ref
appTerm
1254
def
betaConv
48
ref
99
ref
542
ref
36
ref
1251
remove
57
ref
appTerm
547
ref
appTerm
appTerm
702
ref
547
ref
appTerm
appTerm
absTerm
appTerm
absTerm
1255
def
240
ref
appTerm
1256
def
betaConv
271
ref
65
ref
48
ref
99
ref
542
ref
36
ref
1220
ref
1250
remove
275
ref
appTerm
1257
def
appTerm
57
ref
appTerm
547
ref
appTerm
appTerm
730
ref
appTerm
absTerm
appTerm
absTerm
appTerm
absTerm
1258
def
74
ref
appTerm
1259
def
betaConv
26
ref
65
ref
271
ref
65
ref
48
ref
99
ref
542
ref
36
ref
235
ref
1080
ref
appTerm
1260
def
1257
remove
appTerm
57
ref
appTerm
547
ref
appTerm
appTerm
235
ref
41
ref
appTerm
1261
def
275
ref
appTerm
57
ref
appTerm
1262
def
547
ref
appTerm
1263
def
appTerm
absTerm
appTerm
absTerm
appTerm
absTerm
appTerm
absTerm
1264
def
39
ref
appTerm
1265
def
betaConv
29
ref
99
ref
26
ref
65
ref
271
ref
65
ref
48
ref
99
ref
542
ref
36
ref
235
ref
1174
remove
41
ref
appTerm
1266
def
appTerm
1267
def
456
ref
55
ref
appTerm
1268
def
275
ref
appTerm
appTerm
57
ref
appTerm
547
ref
appTerm
appTerm
1263
ref
appTerm
absTerm
1269
def
appTerm
1270
def
absTerm
1271
def
appTerm
1272
def
absTerm
1273
def
appTerm
1274
def
absTerm
1275
def
appTerm
1276
def
absTerm
1277
def
243
ref
appTerm
1278
def
betaConv
nil
99
ref
1277
ref
appTerm
1279
def
axiom
1280
def
nil
110
ref
1279
remove
nil
cons
cons
1281
def
111
ref
1278
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
175
ref
subst
proveHyp
207
ref
208
ref
1277
ref
nil
cons
cons
1282
def
1154
ref
cons
nil
cons
cons
205
ref
subst
eqMp
eqMp
nil
110
ref
99
ref
1264
ref
appTerm
nil
cons
cons
111
ref
1265
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
175
ref
subst
proveHyp
207
ref
208
ref
1264
remove
nil
cons
cons
210
ref
cons
nil
cons
cons
205
ref
subst
eqMp
eqMp
nil
110
ref
65
ref
1258
ref
appTerm
nil
cons
cons
111
ref
1259
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
175
ref
subst
proveHyp
256
ref
257
ref
1258
remove
nil
cons
cons
260
ref
cons
nil
cons
cons
205
ref
subst
eqMp
eqMp
nil
110
ref
65
ref
1255
ref
appTerm
nil
cons
cons
111
ref
1256
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
175
ref
subst
proveHyp
256
ref
257
ref
1255
remove
nil
cons
cons
704
ref
cons
nil
cons
cons
205
ref
subst
eqMp
eqMp
nil
110
ref
99
ref
1253
ref
appTerm
nil
cons
cons
111
ref
1254
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
175
ref
subst
proveHyp
207
ref
208
ref
1253
remove
nil
cons
cons
29
ref
1235
ref
nil
cons
cons
nil
cons
1283
def
cons
nil
cons
cons
205
ref
subst
eqMp
eqMp
nil
110
ref
36
ref
1252
remove
1235
ref
appTerm
appTerm
1248
ref
appTerm
nil
cons
cons
111
ref
36
ref
1220
ref
456
ref
240
ref
appTerm
1284
def
74
ref
appTerm
1285
def
appTerm
240
ref
appTerm
1235
ref
appTerm
appTerm
1248
remove
appTerm
1286
def
nil
cons
1287
def
cons
nil
cons
cons
nil
cons
cons
175
ref
subst
proveHyp
226
ref
155
ref
1221
remove
456
ref
refl
1288
def
1162
ref
appThm
1289
def
1180
ref
appThm
appThm
1234
ref
appThm
1236
ref
appThm
appThm
1249
remove
appThm
appThm
1286
remove
refl
appThm
nil
139
ref
1287
remove
cons
nil
cons
nil
cons
cons
nil
139
ref
71
ref
142
ref
appTerm
1290
def
142
ref
appTerm
1291
def
nil
cons
cons
nil
cons
nil
cons
cons
146
ref
subst
139
ref
1291
remove
absTerm
1292
def
142
ref
appTerm
1293
def
betaConv
nil
343
ref
1292
ref
appTerm
1294
def
axiom
nil
110
ref
1294
remove
nil
cons
cons
111
ref
1293
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
175
ref
subst
proveHyp
345
ref
346
ref
1292
remove
nil
cons
cons
358
ref
cons
nil
cons
cons
205
ref
subst
eqMp
eqMp
eqMp
1295
def
subst
trans
sym
145
ref
eqMp
eqMp
eqMp
eqMp
1296
def
subst
nil
1215
ref
1213
remove
nil
cons
cons
nil
cons
cons
367
ref
subst
trans
trans
appThm
216
ref
217
ref
1212
remove
appThm
307
ref
appThm
350
ref
trans
appThm
1183
ref
refl
1297
def
appThm
nil
139
ref
1183
ref
nil
cons
1298
def
cons
nil
cons
nil
cons
cons
1299
def
359
ref
subst
trans
appThm
374
ref
139
ref
36
ref
342
remove
142
ref
appTerm
appTerm
308
ref
142
ref
appTerm
1300
def
appTerm
absTerm
1301
def
142
ref
appTerm
1302
def
betaConv
nil
343
ref
1301
ref
appTerm
1303
def
axiom
nil
110
ref
1303
remove
nil
cons
cons
111
ref
1302
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
175
ref
subst
proveHyp
345
ref
346
ref
1301
remove
nil
cons
cons
358
ref
cons
nil
cons
cons
205
ref
subst
eqMp
eqMp
subst
nil
36
ref
308
ref
315
ref
appTerm
appTerm
131
ref
appTerm
axiom
1304
def
trans
trans
sym
145
ref
eqMp
eqMp
nil
151
ref
1209
remove
cons
153
ref
1202
ref
cons
nil
cons
1305
def
cons
nil
cons
cons
167
ref
subst
deductAntisym
eqMp
eqMp
eqMp
nil
151
ref
1207
remove
cons
1305
ref
cons
nil
cons
cons
167
ref
subst
deductAntisym
eqMp
eqMp
absThm
eqMp
nil
110
ref
65
ref
258
ref
71
ref
1197
ref
797
ref
appTerm
appTerm
1201
ref
appTerm
absTerm
appTerm
nil
cons
cons
111
ref
71
ref
1198
ref
appTerm
1201
remove
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
175
ref
subst
proveHyp
256
ref
257
ref
1197
remove
nil
cons
cons
1305
ref
cons
nil
cons
cons
811
ref
subst
eqMp
nil
110
ref
360
ref
cons
1203
remove
cons
nil
cons
cons
1306
def
126
ref
subst
1306
remove
194
ref
subst
155
ref
1211
remove
295
remove
assume
1307
def
appThm
1182
remove
appThm
232
ref
155
ref
nil
1215
remove
66
ref
298
ref
cons
1308
def
1219
ref
cons
cons
nil
cons
cons
266
ref
subst
appThm
1297
ref
appThm
sym
542
ref
36
ref
1220
remove
220
ref
appTerm
1309
def
1156
ref
appTerm
1310
def
547
ref
appTerm
appTerm
278
ref
547
ref
appTerm
1311
def
243
ref
appTerm
1312
def
appTerm
absTerm
1313
def
1235
ref
appTerm
1314
def
betaConv
26
ref
99
ref
542
ref
36
ref
1260
remove
220
ref
appTerm
1156
ref
appTerm
547
ref
appTerm
appTerm
1312
remove
appTerm
absTerm
appTerm
absTerm
1315
def
39
ref
appTerm
1316
def
betaConv
29
ref
99
ref
26
ref
99
ref
542
ref
36
ref
1267
ref
220
ref
appTerm
55
ref
appTerm
547
ref
appTerm
appTerm
1311
ref
39
ref
appTerm
appTerm
absTerm
appTerm
absTerm
appTerm
absTerm
1317
def
243
ref
appTerm
1318
def
betaConv
nil
99
ref
1317
ref
appTerm
1319
def
axiom
nil
110
ref
1319
remove
nil
cons
cons
111
ref
1318
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
175
ref
subst
proveHyp
207
ref
208
ref
1317
remove
nil
cons
cons
1154
ref
cons
nil
cons
cons
205
ref
subst
eqMp
eqMp
nil
110
ref
99
ref
1315
ref
appTerm
nil
cons
cons
111
ref
1316
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
175
ref
subst
proveHyp
207
ref
208
ref
1315
remove
nil
cons
cons
210
ref
cons
nil
cons
cons
205
ref
subst
eqMp
eqMp
nil
110
ref
99
ref
1313
ref
appTerm
nil
cons
cons
111
ref
1314
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
175
ref
subst
proveHyp
207
ref
208
ref
1313
remove
nil
cons
cons
1283
remove
cons
nil
cons
cons
205
ref
subst
eqMp
eqMp
nil
110
ref
36
ref
1310
remove
1235
ref
appTerm
appTerm
278
ref
1235
ref
appTerm
243
ref
appTerm
appTerm
nil
cons
cons
111
ref
36
ref
1309
ref
240
ref
appTerm
1235
remove
appTerm
appTerm
1183
ref
appTerm
1320
def
nil
cons
1321
def
cons
nil
cons
cons
nil
cons
cons
175
ref
subst
proveHyp
226
ref
155
ref
1309
remove
refl
1162
ref
appThm
1236
remove
appThm
appThm
nil
671
ref
264
ref
cons
1322
def
676
ref
1214
remove
cons
nil
cons
cons
nil
cons
cons
671
ref
36
ref
726
remove
appTerm
678
ref
appTerm
absTerm
1323
def
672
ref
appTerm
1324
def
betaConv
676
ref
68
ref
1323
ref
appTerm
1325
def
absTerm
1326
def
677
ref
appTerm
1327
def
betaConv
nil
68
ref
1326
ref
appTerm
1328
def
axiom
nil
110
ref
1328
remove
nil
cons
cons
111
ref
1327
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
175
ref
subst
proveHyp
261
ref
262
ref
1326
remove
nil
cons
cons
818
ref
cons
nil
cons
cons
205
ref
subst
eqMp
eqMp
nil
110
ref
1325
remove
nil
cons
cons
111
ref
1324
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
175
ref
subst
proveHyp
261
ref
262
ref
1323
remove
nil
cons
cons
819
ref
cons
nil
cons
cons
205
ref
subst
eqMp
eqMp
1329
def
subst
appThm
appThm
1320
remove
refl
appThm
nil
139
ref
1321
remove
cons
nil
cons
nil
cons
cons
1295
ref
subst
trans
sym
145
ref
eqMp
eqMp
eqMp
1330
def
subst
trans
appThm
216
ref
217
ref
1307
remove
appThm
307
remove
appThm
nil
258
ref
298
ref
cons
nil
cons
1331
def
nil
cons
cons
489
ref
subst
1332
def
trans
appThm
1297
remove
appThm
1299
remove
527
ref
subst
trans
appThm
nil
347
ref
1298
remove
cons
nil
cons
nil
cons
cons
715
ref
488
ref
subst
1333
def
subst
trans
sym
145
ref
eqMp
eqMp
nil
151
ref
360
remove
cons
1334
def
1305
ref
cons
nil
cons
cons
167
ref
subst
deductAntisym
eqMp
nil
1334
ref
153
ref
1198
remove
nil
cons
cons
"R"
3
ref
var
1335
def
1202
remove
cons
nil
cons
cons
cons
nil
cons
cons
nil
110
ref
71
ref
158
ref
appTerm
1336
def
1335
ref
varTerm
1337
def
appTerm
1338
def
nil
cons
cons
111
ref
1337
ref
nil
cons
1339
def
cons
nil
cons
cons
nil
cons
cons
175
ref
subst
nil
110
ref
337
ref
1337
ref
appTerm
nil
cons
cons
111
ref
71
ref
1338
remove
appTerm
1337
ref
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
175
ref
subst
"r"
3
ref
var
1340
def
71
ref
337
remove
1340
ref
varTerm
1341
def
appTerm
appTerm
1342
def
71
ref
1336
remove
1341
ref
appTerm
appTerm
1341
ref
appTerm
appTerm
absTerm
1343
def
1337
remove
appTerm
1344
def
betaConv
36
ref
1185
ref
156
ref
appTerm
1345
def
158
ref
appTerm
1346
def
appTerm
refl
111
ref
343
ref
1340
ref
1342
remove
71
ref
328
remove
1341
ref
appTerm
1347
def
appTerm
1341
ref
appTerm
1348
def
appTerm
absTerm
appTerm
absTerm
158
remove
appTerm
betaConv
appThm
135
remove
1345
remove
appTerm
refl
110
ref
111
ref
343
ref
1340
ref
71
ref
113
ref
1341
ref
appTerm
appTerm
1348
remove
appTerm
absTerm
appTerm
absTerm
absTerm
1349
def
156
remove
appTerm
betaConv
appThm
nil
123
remove
1185
ref
appTerm
1349
remove
appTerm
axiom
165
remove
appThm
eqMp
161
remove
appThm
eqMp
1346
remove
assume
eqMp
nil
110
ref
343
ref
1343
ref
appTerm
nil
cons
cons
111
ref
1344
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
175
ref
subst
proveHyp
345
ref
346
ref
1343
remove
nil
cons
cons
347
ref
1339
remove
cons
nil
cons
cons
nil
cons
cons
205
ref
subst
eqMp
eqMp
eqMp
eqMp
1350
def
subst
proveHyp
proveHyp
eqMp
nil
151
ref
1199
remove
cons
1305
remove
cons
nil
cons
cons
167
ref
subst
deductAntisym
eqMp
eqMp
eqMp
1351
def
subst
appThm
1352
def
nil
1170
ref
369
ref
cons
1167
remove
cons
nil
cons
cons
1351
ref
subst
1353
def
appThm
appThm
376
ref
appThm
absThm
appThm
absThm
appThm
absThm
appThm
appThm
appThm
absThm
appThm
trans
appThm
1147
ref
refl
appThm
sym
nil
110
ref
47
ref
48
ref
49
ref
52
ref
240
ref
appTerm
57
ref
appTerm
1354
def
appTerm
1355
def
1355
ref
65
ref
66
ref
68
ref
69
ref
68
ref
70
ref
71
ref
49
ref
296
ref
468
ref
233
ref
appTerm
1356
def
appTerm
1357
def
appTerm
1358
def
296
ref
467
ref
81
ref
appTerm
627
ref
appTerm
1359
def
appTerm
1360
def
appTerm
1361
def
appTerm
85
ref
appTerm
1362
def
absTerm
1363
def
appTerm
1364
def
absTerm
1365
def
appTerm
1366
def
absTerm
1367
def
appTerm
1368
def
appTerm
1369
def
appTerm
1370
def
absTerm
1371
def
appTerm
1372
def
nil
cons
1373
def
cons
111
ref
1148
ref
cons
nil
cons
1374
def
cons
nil
cons
cons
335
ref
subst
nil
257
ref
48
ref
71
ref
1371
ref
57
ref
appTerm
1375
def
appTerm
1147
ref
appTerm
1376
def
absTerm
nil
cons
cons
nil
cons
nil
cons
cons
662
ref
subst
48
ref
nil
139
ref
1376
remove
nil
cons
cons
nil
cons
nil
cons
cons
146
ref
subst
nil
110
ref
1375
ref
nil
cons
1377
def
cons
1374
ref
cons
nil
cons
cons
1378
def
126
ref
subst
1378
remove
194
ref
subst
1375
ref
betaConv
1375
remove
assume
eqMp
nil
110
ref
1370
remove
nil
cons
1379
def
cons
1374
ref
cons
nil
cons
cons
1380
def
175
ref
subst
proveHyp
1380
ref
126
ref
subst
1380
remove
194
ref
subst
nil
151
ref
1354
remove
nil
cons
cons
1381
def
153
ref
1369
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
334
ref
subst
nil
1381
ref
153
ref
1368
ref
nil
cons
1382
def
cons
nil
cons
cons
nil
cons
cons
334
ref
subst
66
ref
49
ref
296
ref
467
ref
233
ref
appTerm
1383
def
233
ref
appTerm
appTerm
appTerm
1384
def
296
ref
467
ref
627
ref
appTerm
627
ref
appTerm
appTerm
1385
def
appTerm
absTerm
1386
def
220
ref
appTerm
betaConv
sym
216
ref
216
ref
1332
ref
appThm
1387
def
nil
265
ref
nil
cons
cons
385
remove
488
ref
subst
1388
def
subst
1389
def
appThm
528
ref
trans
appThm
1390
def
1387
ref
1388
ref
appThm
528
ref
trans
1391
def
appThm
528
ref
trans
sym
145
ref
eqMp
eqMp
256
ref
257
ref
1386
ref
nil
cons
cons
1331
ref
cons
nil
cons
cons
724
ref
subst
proveHyp
nil
110
ref
47
ref
1386
remove
appTerm
nil
cons
cons
1374
remove
cons
nil
cons
cons
175
ref
subst
proveHyp
nil
70
ref
1165
ref
cons
69
ref
264
ref
cons
nil
cons
1392
def
cons
1393
def
nil
cons
cons
nil
110
ref
47
ref
66
ref
1361
ref
absTerm
1394
def
appTerm
1395
def
nil
cons
1396
def
cons
1397
def
665
ref
cons
nil
cons
cons
1398
def
126
ref
subst
1398
remove
194
ref
subst
nil
110
ref
1382
ref
cons
1399
def
665
ref
cons
nil
cons
cons
1400
def
175
ref
subst
nil
1397
remove
111
ref
71
ref
1368
ref
appTerm
85
ref
appTerm
1401
def
nil
cons
1402
def
cons
nil
cons
1403
def
cons
nil
cons
cons
175
ref
subst
nil
257
ref
66
ref
71
ref
1394
ref
74
ref
appTerm
1404
def
appTerm
1401
ref
appTerm
1405
def
absTerm
nil
cons
cons
nil
cons
nil
cons
cons
662
ref
subst
66
ref
nil
139
ref
1405
remove
nil
cons
cons
nil
cons
nil
cons
cons
146
ref
subst
nil
110
ref
1404
ref
nil
cons
1406
def
cons
1403
ref
cons
nil
cons
cons
1407
def
126
ref
subst
1407
remove
194
ref
subst
1404
ref
betaConv
1404
remove
assume
eqMp
nil
110
ref
1361
remove
nil
cons
1408
def
cons
1409
def
1403
remove
cons
nil
cons
cons
1410
def
175
ref
subst
proveHyp
1410
ref
126
ref
subst
1410
remove
194
ref
subst
1400
ref
126
ref
subst
1400
remove
194
ref
subst
nil
1409
remove
665
ref
cons
nil
cons
cons
1411
def
175
ref
subst
1363
ref
81
ref
appTerm
1412
def
betaConv
1365
ref
76
ref
appTerm
1413
def
betaConv
1367
ref
74
ref
appTerm
1414
def
betaConv
nil
1399
remove
111
ref
1414
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
175
ref
subst
256
ref
257
ref
1367
remove
nil
cons
cons
1415
def
260
ref
cons
nil
cons
cons
205
ref
subst
eqMp
eqMp
nil
110
ref
1366
remove
nil
cons
1416
def
cons
111
ref
1413
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
175
ref
subst
proveHyp
261
ref
262
ref
1365
remove
nil
cons
cons
1417
def
824
ref
cons
nil
cons
cons
205
ref
subst
eqMp
eqMp
nil
110
ref
1364
remove
nil
cons
1418
def
cons
111
ref
1412
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
175
ref
subst
proveHyp
261
ref
262
ref
1363
remove
nil
cons
cons
1419
def
828
ref
cons
nil
cons
cons
205
ref
subst
eqMp
eqMp
eqMp
eqMp
nil
151
ref
1382
ref
cons
850
ref
cons
nil
cons
cons
167
ref
subst
deductAntisym
eqMp
eqMp
nil
151
ref
1408
remove
cons
1420
def
153
ref
1402
remove
cons
nil
cons
1421
def
cons
nil
cons
cons
167
ref
subst
deductAntisym
eqMp
eqMp
eqMp
nil
151
ref
1406
remove
cons
1421
ref
cons
nil
cons
cons
167
ref
subst
deductAntisym
eqMp
eqMp
absThm
eqMp
nil
110
ref
65
ref
258
ref
71
ref
1394
ref
797
ref
appTerm
appTerm
1401
ref
appTerm
absTerm
appTerm
nil
cons
cons
111
ref
71
ref
1395
remove
appTerm
1401
remove
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
175
ref
subst
proveHyp
256
ref
257
ref
1394
remove
nil
cons
cons
1421
remove
cons
nil
cons
cons
811
ref
subst
eqMp
eqMp
eqMp
eqMp
nil
151
ref
1396
remove
cons
850
ref
cons
nil
cons
cons
167
ref
subst
deductAntisym
eqMp
subst
eqMp
proveHyp
proveHyp
eqMp
nil
151
ref
1379
remove
cons
153
ref
1148
ref
cons
nil
cons
1422
def
cons
nil
cons
cons
167
ref
subst
deductAntisym
eqMp
eqMp
eqMp
nil
151
ref
1377
remove
cons
1422
ref
cons
nil
cons
cons
167
ref
subst
deductAntisym
eqMp
eqMp
absThm
eqMp
nil
110
ref
65
ref
258
ref
71
ref
1371
ref
797
ref
appTerm
appTerm
1147
ref
appTerm
absTerm
appTerm
nil
cons
cons
111
ref
71
ref
1372
ref
appTerm
1147
ref
appTerm
nil
cons
1423
def
cons
nil
cons
cons
nil
cons
cons
175
ref
subst
proveHyp
256
ref
257
ref
1371
ref
nil
cons
cons
1424
def
1422
remove
cons
nil
cons
cons
811
ref
subst
eqMp
nil
110
ref
1423
remove
cons
111
ref
71
ref
1147
ref
appTerm
1372
remove
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
194
ref
subst
proveHyp
nil
1149
remove
111
ref
1373
ref
cons
nil
cons
cons
nil
cons
cons
1425
def
126
ref
subst
1425
remove
194
ref
subst
1371
remove
240
ref
appTerm
betaConv
sym
216
ref
nil
704
ref
nil
cons
cons
489
ref
subst
1426
def
appThm
1427
def
1427
ref
1368
remove
refl
appThm
nil
139
ref
1382
remove
cons
nil
cons
nil
cons
cons
527
ref
subst
1428
def
trans
appThm
1428
remove
trans
sym
nil
1415
remove
nil
cons
nil
cons
cons
662
ref
subst
66
ref
nil
139
ref
1416
remove
cons
nil
cons
nil
cons
cons
146
ref
subst
nil
1417
remove
nil
cons
nil
cons
cons
663
ref
subst
69
ref
nil
139
ref
1418
remove
cons
nil
cons
nil
cons
cons
146
ref
subst
nil
1419
remove
nil
cons
nil
cons
cons
663
ref
subst
70
ref
nil
139
ref
1362
remove
nil
cons
cons
nil
cons
nil
cons
cons
146
ref
subst
1411
ref
126
ref
subst
1411
remove
194
ref
subst
nil
151
ref
1357
remove
nil
cons
cons
1429
def
153
ref
1360
ref
nil
cons
1430
def
cons
nil
cons
cons
nil
cons
cons
1431
def
167
ref
subst
1431
remove
334
ref
subst
nil
1334
ref
153
ref
1356
ref
nil
cons
cons
nil
cons
cons
nil
cons
cons
334
ref
subst
1432
def
nil
1334
ref
153
ref
1359
ref
nil
cons
cons
nil
cons
cons
nil
cons
cons
334
ref
subst
1433
def
37
ref
refl
1356
remove
assume
1434
def
appThm
1359
remove
assume
1435
def
appThm
nil
139
ref
1148
ref
cons
nil
cons
nil
cons
cons
146
ref
subst
1147
ref
assume
eqMp
1436
def
trans
sym
145
ref
eqMp
proveHyp
proveHyp
proveHyp
proveHyp
eqMp
nil
1420
remove
850
ref
cons
nil
cons
cons
167
ref
subst
deductAntisym
eqMp
eqMp
absThm
eqMp
eqMp
absThm
eqMp
eqMp
absThm
eqMp
eqMp
eqMp
256
ref
1424
remove
704
ref
cons
nil
cons
cons
724
ref
subst
proveHyp
eqMp
nil
151
ref
1148
remove
cons
1437
def
153
ref
1373
remove
cons
nil
cons
cons
nil
cons
cons
167
ref
subst
deductAntisym
eqMp
eqMp
eqMp
eqMp
1438
def
1436
remove
trans
appThm
nil
139
ref
1137
ref
cons
nil
cons
nil
cons
cons
146
ref
subst
1136
ref
assume
eqMp
appThm
528
ref
trans
sym
145
ref
eqMp
nil
110
ref
49
ref
38
ref
243
ref
appTerm
1151
ref
appTerm
1439
def
appTerm
1136
remove
appTerm
nil
cons
cons
111
ref
1112
remove
1152
ref
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
175
ref
subst
proveHyp
nil
"y2"
2
ref
var
1440
def
594
ref
cons
"y1"
2
ref
var
1441
def
1153
ref
cons
"x2"
2
ref
var
1442
def
211
ref
cons
1443
def
"x1"
2
ref
var
1444
def
267
ref
cons
nil
cons
1445
def
cons
cons
cons
nil
cons
cons
226
ref
216
ref
nil
26
ref
1441
ref
varTerm
1446
def
nil
cons
1447
def
cons
1448
def
29
ref
1444
ref
varTerm
1449
def
nil
cons
1450
def
cons
1451
def
nil
cons
1452
def
cons
1453
def
nil
cons
cons
214
ref
subst
appThm
nil
26
ref
1440
ref
varTerm
1454
def
nil
cons
1455
def
cons
1456
def
29
ref
1442
ref
varTerm
1457
def
nil
cons
1458
def
cons
1459
def
nil
cons
1460
def
cons
1461
def
nil
cons
cons
214
ref
subst
appThm
appThm
nil
26
ref
1078
ref
1446
ref
appTerm
1462
def
1454
ref
appTerm
1463
def
nil
cons
cons
1464
def
29
ref
1078
ref
1449
ref
appTerm
1465
def
1457
ref
appTerm
1466
def
nil
cons
cons
1467
def
nil
cons
cons
1468
def
nil
cons
cons
1469
def
214
ref
subst
appThm
sym
nil
110
ref
49
ref
47
ref
48
ref
49
ref
52
ref
54
ref
1449
ref
appTerm
1470
def
appTerm
1471
def
57
ref
appTerm
appTerm
1472
def
49
ref
52
ref
54
ref
1446
ref
appTerm
1473
def
appTerm
1474
def
57
ref
appTerm
appTerm
1475
def
65
ref
66
ref
68
ref
69
ref
68
ref
70
ref
71
ref
49
ref
72
ref
1449
ref
appTerm
74
ref
appTerm
1476
def
76
ref
appTerm
1477
def
appTerm
1478
def
72
ref
1446
ref
appTerm
1479
def
74
ref
appTerm
1480
def
81
ref
appTerm
1481
def
appTerm
appTerm
85
ref
appTerm
1482
def
absTerm
1483
def
appTerm
1484
def
absTerm
1485
def
appTerm
1486
def
absTerm
1487
def
appTerm
1488
def
appTerm
appTerm
absTerm
1489
def
appTerm
1490
def
appTerm
47
ref
48
ref
49
ref
52
ref
54
ref
1457
ref
appTerm
1491
def
appTerm
1492
def
57
ref
appTerm
appTerm
1493
def
49
ref
52
ref
54
ref
1454
ref
appTerm
1494
def
appTerm
1495
def
57
ref
appTerm
appTerm
1496
def
65
ref
66
ref
68
ref
69
ref
68
ref
70
ref
71
ref
49
ref
72
ref
1457
ref
appTerm
1497
def
74
ref
appTerm
76
ref
appTerm
appTerm
1498
def
72
ref
1454
ref
appTerm
1499
def
74
ref
appTerm
1500
def
81
ref
appTerm
1501
def
appTerm
appTerm
85
ref
appTerm
absTerm
1502
def
appTerm
1503
def
absTerm
1504
def
appTerm
1505
def
absTerm
1506
def
appTerm
1507
def
appTerm
appTerm
absTerm
1508
def
appTerm
1509
def
appTerm
nil
cons
1510
def
cons
111
ref
47
ref
48
ref
49
ref
52
ref
54
ref
1466
ref
appTerm
appTerm
57
ref
appTerm
appTerm
1511
def
49
ref
52
ref
54
ref
1463
ref
appTerm
appTerm
57
ref
appTerm
appTerm
1512
def
65
ref
66
ref
68
ref
69
ref
68
ref
70
ref
71
ref
49
ref
72
ref
1466
ref
appTerm
1513
def
74
ref
appTerm
1514
def
76
ref
appTerm
1515
def
appTerm
1516
def
72
ref
1463
ref
appTerm
1517
def
74
ref
appTerm
1518
def
81
ref
appTerm
1519
def
appTerm
appTerm
85
ref
appTerm
1520
def
absTerm
1521
def
appTerm
1522
def
absTerm
1523
def
appTerm
1524
def
absTerm
1525
def
appTerm
1526
def
appTerm
appTerm
absTerm
1527
def
appTerm
1528
def
nil
cons
1529
def
cons
nil
cons
1530
def
cons
nil
cons
cons
1531
def
126
ref
subst
1531
remove
194
ref
subst
nil
151
ref
1490
ref
nil
cons
1532
def
cons
153
ref
1509
ref
nil
cons
1533
def
cons
nil
cons
cons
nil
cons
cons
1534
def
167
ref
subst
1534
remove
334
ref
subst
nil
110
ref
1532
remove
cons
1530
ref
cons
nil
cons
cons
175
ref
subst
nil
257
ref
"n1"
44
ref
var
1535
def
71
ref
1489
ref
1535
ref
varTerm
1536
def
appTerm
1537
def
appTerm
1528
ref
appTerm
1538
def
absTerm
nil
cons
cons
nil
cons
nil
cons
cons
662
ref
subst
1535
ref
nil
139
ref
1538
remove
nil
cons
cons
nil
cons
nil
cons
cons
146
ref
subst
nil
110
ref
1537
ref
nil
cons
1539
def
cons
1530
ref
cons
nil
cons
cons
1540
def
126
ref
subst
1540
remove
194
ref
subst
1537
ref
betaConv
1537
remove
assume
eqMp
nil
110
ref
49
ref
1471
ref
1536
ref
appTerm
1541
def
appTerm
1542
def
49
ref
1474
ref
1536
ref
appTerm
1543
def
appTerm
1544
def
1488
ref
appTerm
1545
def
appTerm
nil
cons
1546
def
cons
1530
ref
cons
nil
cons
cons
1547
def
175
ref
subst
proveHyp
1547
ref
126
ref
subst
1547
remove
194
ref
subst
nil
151
ref
1541
ref
nil
cons
cons
1548
def
153
ref
1545
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
1549
def
167
ref
subst
1549
remove
334
ref
subst
nil
151
ref
1543
ref
nil
cons
cons
1550
def
153
ref
1488
remove
nil
cons
1551
def
cons
nil
cons
cons
nil
cons
cons
1552
def
167
ref
subst
1552
remove
334
ref
subst
nil
110
ref
1533
remove
cons
1530
ref
cons
nil
cons
cons
175
ref
subst
nil
257
ref
"n2"
44
ref
var
1553
def
71
ref
1508
ref
1553
ref
varTerm
1554
def
appTerm
1555
def
appTerm
1528
ref
appTerm
1556
def
absTerm
nil
cons
cons
nil
cons
nil
cons
cons
662
ref
subst
1553
ref
nil
139
ref
1556
remove
nil
cons
cons
nil
cons
nil
cons
cons
146
ref
subst
nil
110
ref
1555
ref
nil
cons
1557
def
cons
1530
ref
cons
nil
cons
cons
1558
def
126
ref
subst
1558
remove
194
ref
subst
1555
ref
betaConv
1555
remove
assume
eqMp
nil
110
ref
49
ref
1492
ref
1554
ref
appTerm
1559
def
appTerm
1560
def
49
ref
1495
remove
1554
ref
appTerm
1561
def
appTerm
1562
def
1507
ref
appTerm
1563
def
appTerm
nil
cons
1564
def
cons
1530
remove
cons
nil
cons
cons
1565
def
175
ref
subst
proveHyp
1565
ref
126
ref
subst
1565
remove
194
ref
subst
nil
151
ref
1559
ref
nil
cons
cons
1566
def
153
ref
1563
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
1567
def
167
ref
subst
1567
remove
334
ref
subst
nil
151
ref
1561
ref
nil
cons
cons
1568
def
153
ref
1507
remove
nil
cons
1569
def
cons
nil
cons
cons
nil
cons
cons
1570
def
167
ref
subst
1570
remove
334
ref
subst
1527
ref
456
ref
1536
ref
appTerm
1571
def
1554
ref
appTerm
1572
def
appTerm
betaConv
sym
216
ref
217
ref
nil
26
ref
1458
ref
cons
1452
ref
cons
1573
def
nil
cons
cons
26
ref
52
ref
54
ref
1266
ref
appTerm
appTerm
1268
ref
60
ref
appTerm
appTerm
absTerm
1574
def
41
ref
appTerm
1575
def
betaConv
29
ref
99
ref
1574
ref
appTerm
1576
def
absTerm
1577
def
39
ref
appTerm
1578
def
betaConv
nil
99
ref
1577
ref
appTerm
1579
def
axiom
nil
110
ref
1579
remove
nil
cons
cons
111
ref
1578
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
175
ref
subst
proveHyp
207
ref
208
ref
1577
remove
nil
cons
cons
210
ref
cons
nil
cons
cons
205
ref
subst
eqMp
eqMp
nil
110
ref
1576
remove
nil
cons
cons
111
ref
1575
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
175
ref
subst
proveHyp
207
ref
208
ref
1574
remove
nil
cons
cons
213
ref
cons
nil
cons
cons
205
ref
subst
eqMp
eqMp
1580
def
subst
1581
def
1288
ref
1541
remove
assume
1582
def
appThm
1583
def
1559
remove
assume
appThm
trans
appThm
1572
ref
refl
1584
def
appThm
nil
258
ref
1572
ref
nil
cons
cons
nil
cons
1585
def
nil
cons
cons
489
ref
subst
1586
def
trans
appThm
1587
def
216
ref
217
ref
nil
1456
ref
29
ref
1447
remove
cons
nil
cons
1588
def
cons
1589
def
nil
cons
cons
1580
ref
subst
1590
def
1288
ref
1543
remove
assume
1591
def
appThm
1592
def
1561
remove
assume
appThm
trans
appThm
1584
ref
appThm
1586
ref
trans
appThm
1593
def
1526
ref
refl
appThm
nil
139
ref
1526
remove
nil
cons
cons
nil
cons
nil
cons
cons
527
ref
subst
1594
def
trans
appThm
1594
remove
trans
sym
nil
257
ref
1525
remove
nil
cons
cons
nil
cons
nil
cons
cons
662
ref
subst
66
ref
nil
139
ref
1524
remove
nil
cons
cons
nil
cons
nil
cons
cons
146
ref
subst
nil
262
ref
1523
remove
nil
cons
cons
nil
cons
nil
cons
cons
663
ref
subst
69
ref
nil
139
ref
1522
remove
nil
cons
cons
nil
cons
nil
cons
cons
146
ref
subst
nil
262
ref
1521
remove
nil
cons
cons
nil
cons
nil
cons
cons
663
ref
subst
70
ref
nil
139
ref
1520
ref
nil
cons
1595
def
cons
nil
cons
nil
cons
cons
146
ref
subst
nil
110
ref
308
ref
"Number.Natural.<"
const
51
ref
constTerm
1596
def
74
ref
appTerm
1597
def
1536
ref
appTerm
1598
def
appTerm
1599
def
nil
cons
1600
def
cons
1601
def
111
ref
1595
ref
cons
nil
cons
1602
def
cons
nil
cons
cons
1603
def
126
ref
subst
1603
remove
194
ref
subst
nil
48
ref
1536
ref
nil
cons
1604
def
cons
495
ref
cons
nil
cons
cons
48
ref
36
ref
308
ref
1596
ref
496
ref
appTerm
1605
def
57
ref
appTerm
1606
def
appTerm
appTerm
"Number.Natural.<="
const
51
ref
constTerm
1607
def
57
ref
appTerm
1608
def
496
ref
appTerm
appTerm
absTerm
1609
def
57
ref
appTerm
1610
def
betaConv
493
ref
65
ref
1609
ref
appTerm
1611
def
absTerm
1612
def
496
ref
appTerm
1613
def
betaConv
nil
65
ref
1612
ref
appTerm
1614
def
axiom
nil
110
ref
1614
remove
nil
cons
cons
111
ref
1613
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
175
ref
subst
proveHyp
256
ref
257
ref
1612
remove
nil
cons
cons
509
ref
cons
nil
cons
cons
205
ref
subst
eqMp
eqMp
nil
110
ref
1611
remove
nil
cons
cons
111
ref
1610
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
175
ref
subst
proveHyp
256
ref
257
ref
1609
remove
nil
cons
cons
293
ref
cons
nil
cons
cons
205
ref
subst
eqMp
eqMp
1615
def
subst
nil
48
ref
259
remove
cons
1616
def
493
ref
1604
remove
cons
nil
cons
cons
nil
cons
cons
48
ref
36
ref
1607
ref
496
ref
appTerm
57
ref
appTerm
1617
def
appTerm
47
ref
"d"
44
ref
var
1618
def
276
ref
497
ref
1618
ref
varTerm
1619
def
appTerm
appTerm
absTerm
appTerm
appTerm
absTerm
1620
def
57
ref
appTerm
1621
def
betaConv
493
ref
65
ref
1620
ref
appTerm
1622
def
absTerm
1623
def
496
ref
appTerm
1624
def
betaConv
nil
65
ref
1623
ref
appTerm
1625
def
axiom
nil
110
ref
1625
remove
nil
cons
cons
111
ref
1624
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
175
ref
subst
proveHyp
256
ref
257
ref
1623
remove
nil
cons
cons
509
ref
cons
nil
cons
cons
205
ref
subst
eqMp
eqMp
nil
110
ref
1622
remove
nil
cons
cons
111
ref
1621
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
175
ref
subst
proveHyp
256
ref
257
ref
1620
remove
nil
cons
cons
293
ref
cons
nil
cons
cons
205
ref
subst
eqMp
eqMp
1626
def
subst
trans
1599
remove
assume
eqMp
1627
def
nil
110
ref
47
ref
1618
ref
294
ref
1571
remove
1619
ref
appTerm
1628
def
appTerm
1629
def
absTerm
1630
def
appTerm
1631
def
nil
cons
cons
1632
def
1602
ref
cons
nil
cons
cons
175
ref
subst
proveHyp
nil
257
ref
1618
ref
71
ref
1630
ref
1619
ref
appTerm
1633
def
appTerm
1634
def
1520
ref
appTerm
1635
def
absTerm
nil
cons
cons
nil
cons
nil
cons
cons
662
ref
subst
1618
ref
nil
139
ref
1635
remove
nil
cons
cons
nil
cons
nil
cons
cons
146
ref
subst
nil
110
ref
1633
ref
nil
cons
1636
def
cons
1637
def
1602
ref
cons
nil
cons
cons
1638
def
126
ref
subst
1638
remove
194
ref
subst
1633
ref
betaConv
1633
remove
assume
eqMp
1639
def
nil
110
ref
1629
ref
nil
cons
1640
def
cons
1641
def
1602
ref
cons
nil
cons
cons
1642
def
175
ref
subst
proveHyp
1642
ref
126
ref
subst
1642
remove
194
ref
subst
36
ref
"_31920"
44
ref
var
1643
def
71
ref
49
ref
1513
ref
1643
remove
varTerm
1644
def
appTerm
76
ref
appTerm
appTerm
1517
ref
1644
remove
appTerm
81
ref
appTerm
appTerm
appTerm
85
ref
appTerm
absTerm
1645
def
74
ref
appTerm
1646
def
appTerm
refl
1645
ref
1628
ref
appTerm
betaConv
appThm
155
ref
1646
remove
betaConv
appThm
71
ref
49
ref
1513
ref
1628
ref
appTerm
76
ref
appTerm
1647
def
appTerm
1648
def
1517
ref
1628
ref
appTerm
81
ref
appTerm
1649
def
appTerm
appTerm
85
ref
appTerm
1650
def
refl
1651
def
appThm
trans
1645
remove
refl
1629
remove
assume
1652
def
appThm
eqMp
sym
nil
229
remove
66
ref
1619
ref
nil
cons
1653
def
cons
1654
def
1573
remove
cons
cons
nil
cons
cons
227
ref
36
ref
72
ref
1266
ref
appTerm
1655
def
1268
ref
74
ref
appTerm
1656
def
appTerm
233
ref
appTerm
appTerm
80
ref
233
ref
appTerm
1657
def
appTerm
absTerm
1658
def
233
ref
appTerm
1659
def
betaConv
66
ref
68
ref
1658
ref
appTerm
1660
def
absTerm
1661
def
74
ref
appTerm
1662
def
betaConv
26
ref
65
ref
1661
ref
appTerm
1663
def
absTerm
1664
def
41
ref
appTerm
1665
def
betaConv
29
ref
99
ref
1664
ref
appTerm
1666
def
absTerm
1667
def
39
ref
appTerm
1668
def
betaConv
624
ref
29
ref
624
ref
26
ref
224
ref
66
ref
225
ref
227
ref
155
ref
nil
66
ref
1656
remove
nil
cons
cons
29
ref
1266
ref
nil
cons
cons
nil
cons
1669
def
cons
nil
cons
cons
266
ref
subst
nil
542
ref
267
ref
cons
274
ref
cons
1670
def
nil
cons
cons
1671
def
1269
ref
547
ref
appTerm
1672
def
betaConv
1271
ref
57
ref
appTerm
1673
def
betaConv
1273
ref
275
ref
appTerm
1674
def
betaConv
1275
ref
41
ref
appTerm
1675
def
betaConv
1277
remove
39
ref
appTerm
1676
def
betaConv
1280
remove
nil
1281
remove
111
ref
1676
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
175
ref
subst
proveHyp
207
ref
1282
remove
210
ref
cons
nil
cons
cons
205
ref
subst
eqMp
eqMp
nil
110
ref
1276
remove
nil
cons
cons
111
ref
1675
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
175
ref
subst
proveHyp
207
ref
208
ref
1275
remove
nil
cons
cons
213
ref
cons
nil
cons
cons
205
ref
subst
eqMp
eqMp
nil
110
ref
1274
remove
nil
cons
cons
111
ref
1674
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
175
ref
subst
proveHyp
256
ref
257
ref
1273
remove
nil
cons
cons
291
ref
cons
nil
cons
cons
205
ref
subst
eqMp
eqMp
nil
110
ref
1272
remove
nil
cons
cons
111
ref
1673
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
175
ref
subst
proveHyp
256
ref
257
ref
1271
remove
nil
cons
cons
293
ref
cons
nil
cons
cons
205
ref
subst
eqMp
eqMp
nil
110
ref
1270
remove
nil
cons
cons
111
ref
1672
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
175
ref
subst
proveHyp
207
ref
208
ref
1269
remove
nil
cons
cons
595
ref
cons
nil
cons
cons
205
ref
subst
eqMp
eqMp
subst
trans
appThm
nil
213
ref
nil
cons
cons
1677
def
266
ref
subst
1678
def
appThm
nil
347
ref
1261
remove
74
ref
appTerm
1679
def
240
ref
appTerm
1680
def
243
ref
appTerm
1681
def
nil
cons
cons
nil
cons
nil
cons
cons
1333
ref
subst
trans
absThm
appThm
390
ref
trans
absThm
appThm
392
ref
trans
absThm
appThm
383
ref
641
ref
389
ref
subst
subst
1682
def
trans
absThm
appThm
1682
remove
trans
sym
145
ref
eqMp
1683
def
nil
110
ref
99
ref
1667
ref
appTerm
1684
def
nil
cons
cons
1685
def
111
ref
1668
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
175
ref
subst
proveHyp
207
ref
208
ref
1667
ref
nil
cons
cons
1686
def
210
ref
cons
nil
cons
cons
205
ref
subst
eqMp
eqMp
nil
110
ref
1666
remove
nil
cons
cons
111
ref
1665
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
175
ref
subst
proveHyp
207
ref
208
ref
1664
remove
nil
cons
cons
213
ref
cons
nil
cons
cons
205
ref
subst
eqMp
eqMp
nil
110
ref
1663
remove
nil
cons
cons
111
ref
1662
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
175
ref
subst
proveHyp
256
ref
257
ref
1661
remove
nil
cons
cons
260
ref
cons
nil
cons
cons
205
ref
subst
eqMp
eqMp
nil
110
ref
1660
remove
nil
cons
cons
111
ref
1659
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
175
ref
subst
proveHyp
261
ref
262
ref
1658
remove
nil
cons
cons
265
ref
cons
nil
cons
cons
205
ref
subst
eqMp
eqMp
1687
def
subst
1688
def
nil
110
ref
36
ref
1513
ref
456
ref
1470
ref
appTerm
1689
def
1619
ref
appTerm
1690
def
appTerm
76
ref
appTerm
1691
def
appTerm
1497
remove
1619
ref
appTerm
76
ref
appTerm
1692
def
appTerm
nil
cons
cons
1693
def
111
ref
1650
remove
nil
cons
1694
def
cons
nil
cons
1695
def
cons
nil
cons
cons
175
ref
subst
proveHyp
226
ref
155
ref
1513
ref
refl
1583
remove
1619
ref
refl
1696
def
appThm
appThm
76
ref
refl
1697
def
appThm
appThm
1692
ref
refl
appThm
appThm
1698
def
1651
remove
appThm
sym
nil
110
ref
36
ref
1647
ref
appTerm
1692
ref
appTerm
1699
def
nil
cons
1700
def
cons
1701
def
1695
remove
cons
nil
cons
cons
1702
def
126
ref
subst
1702
remove
194
ref
subst
36
ref
"_31934"
3
ref
var
1703
def
71
ref
49
ref
1703
remove
varTerm
appTerm
1649
ref
appTerm
appTerm
85
ref
appTerm
absTerm
1704
def
1647
ref
appTerm
1705
def
appTerm
refl
1704
ref
1692
ref
appTerm
betaConv
appThm
155
ref
1705
remove
betaConv
appThm
71
ref
49
ref
1692
ref
appTerm
1706
def
1649
ref
appTerm
appTerm
85
ref
appTerm
1707
def
refl
1708
def
appThm
trans
1704
remove
refl
1699
remove
assume
1709
def
appThm
eqMp
sym
227
ref
36
ref
1517
ref
456
ref
1473
ref
appTerm
1710
def
1619
ref
appTerm
appTerm
1711
def
233
ref
appTerm
appTerm
1499
ref
1619
ref
appTerm
1712
def
233
ref
appTerm
appTerm
absTerm
1713
def
81
ref
appTerm
1714
def
betaConv
66
ref
68
ref
227
ref
36
ref
1517
ref
1710
ref
74
ref
appTerm
1715
def
appTerm
233
ref
appTerm
appTerm
1500
remove
233
ref
appTerm
appTerm
absTerm
appTerm
absTerm
1716
def
1619
ref
appTerm
1717
def
betaConv
26
ref
65
ref
66
ref
68
ref
227
ref
36
ref
72
ref
1462
remove
41
ref
appTerm
appTerm
1718
def
1715
remove
appTerm
233
ref
appTerm
appTerm
1657
ref
appTerm
absTerm
appTerm
absTerm
appTerm
absTerm
1719
def
1454
ref
appTerm
1720
def
betaConv
1667
ref
1446
ref
appTerm
1721
def
betaConv
1683
ref
nil
1685
ref
111
ref
1721
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
175
ref
subst
proveHyp
207
ref
1686
ref
1588
ref
cons
nil
cons
cons
205
ref
subst
eqMp
eqMp
nil
110
ref
99
ref
1719
ref
appTerm
nil
cons
cons
111
ref
1720
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
175
ref
subst
proveHyp
207
ref
208
ref
1719
remove
nil
cons
cons
29
ref
1455
remove
cons
nil
cons
1722
def
cons
nil
cons
cons
205
ref
subst
eqMp
eqMp
nil
110
ref
65
ref
1716
ref
appTerm
nil
cons
cons
111
ref
1717
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
175
ref
subst
proveHyp
256
ref
257
ref
1716
remove
nil
cons
cons
258
ref
1653
ref
cons
nil
cons
1723
def
cons
nil
cons
cons
205
ref
subst
eqMp
eqMp
nil
110
ref
68
ref
1713
ref
appTerm
nil
cons
cons
111
ref
1714
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
175
ref
subst
proveHyp
261
ref
262
ref
1713
remove
nil
cons
cons
828
ref
cons
nil
cons
cons
205
ref
subst
eqMp
eqMp
1724
def
nil
110
ref
36
ref
1711
remove
81
ref
appTerm
appTerm
1712
ref
81
ref
appTerm
1725
def
appTerm
nil
cons
cons
1726
def
111
ref
1707
remove
nil
cons
1727
def
cons
nil
cons
1728
def
cons
nil
cons
cons
175
ref
subst
proveHyp
226
ref
155
ref
1517
ref
refl
1729
def
1592
remove
1696
ref
appThm
appThm
81
ref
refl
1730
def
appThm
appThm
1725
ref
refl
appThm
appThm
1731
def
1708
remove
appThm
sym
nil
110
ref
36
ref
1649
ref
appTerm
1725
ref
appTerm
1732
def
nil
cons
1733
def
cons
1734
def
1728
remove
cons
nil
cons
cons
1735
def
126
ref
subst
1735
remove
194
ref
subst
36
ref
"_31936"
3
ref
var
1736
def
71
ref
1706
ref
1736
remove
varTerm
appTerm
appTerm
85
ref
appTerm
absTerm
1737
def
1649
ref
appTerm
1738
def
appTerm
refl
1737
ref
1725
ref
appTerm
betaConv
appThm
155
ref
1738
remove
betaConv
appThm
71
ref
1706
ref
1725
ref
appTerm
appTerm
85
ref
appTerm
refl
appThm
trans
1737
remove
refl
1732
remove
assume
1739
def
appThm
eqMp
sym
nil
1654
ref
nil
cons
nil
cons
cons
1740
def
1502
ref
81
ref
appTerm
1741
def
betaConv
1504
ref
76
ref
appTerm
1742
def
betaConv
1506
ref
74
ref
appTerm
1743
def
betaConv
nil
110
ref
1569
remove
cons
111
ref
1743
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
175
ref
subst
256
ref
257
ref
1506
remove
nil
cons
cons
260
ref
cons
nil
cons
cons
205
ref
subst
eqMp
eqMp
nil
110
ref
1505
remove
nil
cons
cons
111
ref
1742
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
175
ref
subst
proveHyp
261
ref
262
ref
1504
remove
nil
cons
cons
824
ref
cons
nil
cons
cons
205
ref
subst
eqMp
eqMp
nil
110
ref
1503
remove
nil
cons
cons
111
ref
1741
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
175
ref
subst
proveHyp
261
ref
262
ref
1502
remove
nil
cons
cons
828
ref
cons
nil
cons
cons
205
ref
subst
eqMp
eqMp
subst
eqMp
eqMp
nil
151
ref
1733
remove
cons
1744
def
153
ref
1727
remove
cons
nil
cons
cons
nil
cons
cons
167
ref
subst
deductAntisym
eqMp
eqMp
eqMp
eqMp
eqMp
nil
151
ref
1700
remove
cons
1745
def
153
ref
1694
remove
cons
nil
cons
cons
nil
cons
cons
167
ref
subst
deductAntisym
eqMp
eqMp
eqMp
eqMp
eqMp
nil
151
ref
1640
remove
cons
1746
def
153
ref
1595
ref
cons
nil
cons
1747
def
cons
nil
cons
cons
167
ref
subst
deductAntisym
eqMp
eqMp
eqMp
nil
151
ref
1636
remove
cons
1748
def
1747
ref
cons
nil
cons
cons
167
ref
subst
deductAntisym
eqMp
eqMp
absThm
eqMp
nil
110
ref
65
ref
258
ref
71
ref
1630
ref
797
ref
appTerm
appTerm
1749
def
1520
ref
appTerm
absTerm
appTerm
nil
cons
cons
111
ref
71
ref
1631
remove
appTerm
1750
def
1520
ref
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
175
ref
subst
proveHyp
256
ref
257
ref
1630
remove
nil
cons
cons
1751
def
1747
ref
cons
nil
cons
cons
811
ref
subst
eqMp
eqMp
eqMp
nil
151
ref
1600
ref
cons
1752
def
1747
ref
cons
nil
cons
cons
167
ref
subst
deductAntisym
eqMp
nil
110
ref
1598
ref
nil
cons
1753
def
cons
1754
def
1602
ref
cons
nil
cons
cons
1755
def
126
ref
subst
1755
remove
194
ref
subst
227
ref
71
ref
1597
ref
1470
ref
appTerm
1756
def
appTerm
1757
def
36
ref
1514
remove
233
ref
appTerm
appTerm
1476
remove
233
ref
appTerm
1758
def
appTerm
appTerm
absTerm
1759
def
76
ref
appTerm
1760
def
betaConv
66
ref
68
ref
1759
ref
appTerm
1761
def
absTerm
1762
def
74
ref
appTerm
1763
def
betaConv
26
ref
65
ref
66
ref
68
ref
227
ref
1757
ref
36
ref
72
ref
1465
remove
41
ref
appTerm
appTerm
74
ref
appTerm
233
ref
appTerm
appTerm
1758
remove
appTerm
appTerm
absTerm
appTerm
absTerm
appTerm
absTerm
1764
def
1457
ref
appTerm
1765
def
betaConv
29
ref
99
ref
26
ref
65
ref
66
ref
68
ref
227
ref
71
ref
1597
ref
55
ref
appTerm
1766
def
appTerm
1767
def
36
ref
1655
remove
74
ref
appTerm
233
ref
appTerm
appTerm
234
ref
appTerm
appTerm
1768
def
absTerm
1769
def
appTerm
1770
def
absTerm
1771
def
appTerm
1772
def
absTerm
1773
def
appTerm
1774
def
absTerm
1775
def
1449
ref
appTerm
1776
def
betaConv
nil
208
ref
1775
ref
nil
cons
cons
1777
def
nil
cons
nil
cons
cons
643
ref
subst
29
ref
nil
139
ref
1774
remove
nil
cons
cons
nil
cons
nil
cons
cons
146
ref
subst
nil
208
ref
1773
remove
nil
cons
cons
nil
cons
nil
cons
cons
643
ref
subst
26
ref
nil
139
ref
1772
remove
nil
cons
cons
nil
cons
nil
cons
cons
146
ref
subst
nil
257
ref
1771
remove
nil
cons
cons
nil
cons
nil
cons
cons
662
ref
subst
66
ref
nil
139
ref
1770
remove
nil
cons
cons
nil
cons
nil
cons
cons
146
ref
subst
nil
262
ref
1769
remove
nil
cons
cons
nil
cons
nil
cons
cons
663
ref
subst
227
ref
nil
139
ref
1768
remove
nil
cons
cons
nil
cons
nil
cons
cons
146
ref
subst
226
ref
nil
48
ref
657
ref
cons
1778
def
495
ref
cons
nil
cons
cons
1779
def
48
ref
36
ref
1606
ref
appTerm
1780
def
1607
ref
1223
ref
appTerm
57
ref
appTerm
1781
def
appTerm
1782
def
absTerm
1783
def
57
ref
appTerm
1784
def
betaConv
493
ref
65
ref
1783
ref
appTerm
1785
def
absTerm
1786
def
496
ref
appTerm
1787
def
betaConv
224
ref
493
ref
224
ref
48
ref
1782
remove
assume
sym
36
ref
1781
remove
appTerm
1606
remove
appTerm
1788
def
assume
sym
deductAntisym
absThm
appThm
absThm
appThm
nil
65
ref
493
ref
65
ref
48
ref
1788
remove
absTerm
1789
def
appTerm
1790
def
absTerm
1791
def
appTerm
1792
def
axiom
1793
def
eqMp
nil
110
ref
65
ref
1786
ref
appTerm
nil
cons
cons
111
ref
1787
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
175
ref
subst
proveHyp
256
ref
257
ref
1786
remove
nil
cons
cons
509
ref
cons
nil
cons
cons
205
ref
subst
eqMp
eqMp
nil
110
ref
1785
remove
nil
cons
cons
111
ref
1784
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
175
ref
subst
proveHyp
256
ref
257
ref
1783
remove
nil
cons
cons
293
ref
cons
nil
cons
cons
205
ref
subst
eqMp
eqMp
1794
def
subst
1607
ref
refl
1795
def
1232
remove
appThm
1796
def
55
ref
refl
1797
def
appThm
trans
1798
def
appThm
155
ref
nil
1669
remove
nil
cons
cons
266
ref
subst
appThm
266
ref
appThm
appThm
sym
1671
remove
542
ref
71
ref
1607
ref
456
ref
275
ref
appTerm
1799
def
57
ref
appTerm
appTerm
1800
def
55
ref
appTerm
1801
def
appTerm
1802
def
36
ref
1267
ref
275
ref
appTerm
57
ref
appTerm
547
ref
appTerm
appTerm
730
remove
appTerm
appTerm
absTerm
1803
def
547
ref
appTerm
1804
def
betaConv
48
ref
99
ref
1803
ref
appTerm
1805
def
absTerm
1806
def
57
ref
appTerm
1807
def
betaConv
271
ref
65
ref
1806
ref
appTerm
1808
def
absTerm
1809
def
275
ref
appTerm
1810
def
betaConv
29
ref
65
ref
1809
ref
appTerm
1811
def
absTerm
1812
def
39
ref
appTerm
1813
def
betaConv
26
ref
99
ref
1812
ref
appTerm
1814
def
absTerm
1815
def
41
ref
appTerm
1816
def
betaConv
nil
99
ref
29
ref
99
ref
26
ref
1811
ref
absTerm
1817
def
appTerm
1818
def
absTerm
1819
def
appTerm
1820
def
axiom
nil
110
ref
1820
remove
nil
cons
1821
def
cons
1822
def
111
ref
99
ref
1815
ref
appTerm
nil
cons
1823
def
cons
nil
cons
cons
nil
cons
cons
1824
def
175
ref
subst
proveHyp
1824
ref
126
ref
subst
1824
remove
194
ref
subst
nil
208
ref
1815
remove
nil
cons
cons
1825
def
nil
cons
nil
cons
cons
643
ref
subst
26
ref
nil
139
ref
1814
remove
nil
cons
1826
def
cons
nil
cons
nil
cons
cons
146
ref
subst
nil
208
ref
1812
remove
nil
cons
cons
1827
def
nil
cons
nil
cons
cons
643
ref
subst
29
ref
nil
139
ref
1811
remove
nil
cons
1828
def
cons
nil
cons
nil
cons
cons
146
ref
subst
1817
ref
41
ref
appTerm
1829
def
betaConv
1819
ref
39
ref
appTerm
1830
def
betaConv
nil
1822
remove
111
ref
1830
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
175
ref
subst
207
ref
208
ref
1819
remove
nil
cons
cons
210
ref
cons
nil
cons
cons
205
ref
subst
eqMp
eqMp
nil
110
ref
1818
remove
nil
cons
cons
111
ref
1829
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
175
ref
subst
proveHyp
207
ref
208
ref
1817
remove
nil
cons
cons
213
ref
cons
nil
cons
cons
205
ref
subst
eqMp
eqMp
eqMp
absThm
eqMp
eqMp
absThm
eqMp
eqMp
nil
151
ref
1821
remove
cons
153
ref
1823
ref
cons
nil
cons
cons
nil
cons
cons
167
ref
subst
deductAntisym
eqMp
eqMp
nil
110
ref
1823
remove
cons
111
ref
1816
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
175
ref
subst
proveHyp
207
ref
1825
remove
213
ref
cons
nil
cons
cons
205
ref
subst
eqMp
eqMp
nil
110
ref
1826
remove
cons
111
ref
1813
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
175
ref
subst
proveHyp
207
ref
1827
remove
210
ref
cons
nil
cons
cons
205
ref
subst
eqMp
eqMp
nil
110
ref
1828
remove
cons
111
ref
1810
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
175
ref
subst
proveHyp
256
ref
257
ref
1809
remove
nil
cons
cons
291
ref
cons
nil
cons
cons
205
ref
subst
eqMp
eqMp
nil
110
ref
1808
remove
nil
cons
cons
111
ref
1807
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
175
ref
subst
proveHyp
256
ref
257
ref
1806
remove
nil
cons
cons
293
ref
cons
nil
cons
cons
205
ref
subst
eqMp
eqMp
nil
110
ref
1805
remove
nil
cons
cons
111
ref
1804
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
175
ref
subst
proveHyp
207
ref
208
ref
1803
remove
nil
cons
cons
595
ref
cons
nil
cons
cons
205
ref
subst
eqMp
eqMp
subst
eqMp
eqMp
absThm
eqMp
eqMp
absThm
eqMp
eqMp
absThm
eqMp
eqMp
absThm
eqMp
1831
def
nil
110
ref
99
ref
1775
ref
appTerm
1832
def
nil
cons
cons
1833
def
111
ref
1776
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
175
ref
subst
proveHyp
207
ref
1777
ref
1452
ref
cons
nil
cons
cons
205
ref
subst
eqMp
eqMp
nil
110
ref
99
ref
1764
ref
appTerm
nil
cons
cons
111
ref
1765
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
175
ref
subst
proveHyp
207
ref
208
ref
1764
remove
nil
cons
cons
1460
ref
cons
nil
cons
cons
205
ref
subst
eqMp
eqMp
nil
110
ref
65
ref
1762
ref
appTerm
nil
cons
cons
111
ref
1763
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
175
ref
subst
proveHyp
256
ref
257
ref
1762
remove
nil
cons
cons
260
ref
cons
nil
cons
cons
205
ref
subst
eqMp
eqMp
nil
110
ref
1761
remove
nil
cons
cons
111
ref
1760
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
175
ref
subst
proveHyp
261
ref
262
ref
1759
remove
nil
cons
cons
824
ref
cons
nil
cons
cons
205
ref
subst
eqMp
eqMp
1834
def
nil
110
ref
1757
remove
36
ref
1515
ref
appTerm
1477
ref
appTerm
1835
def
appTerm
nil
cons
cons
1836
def
1602
ref
cons
nil
cons
cons
175
ref
subst
proveHyp
226
ref
226
ref
1597
ref
refl
1837
def
1582
remove
appThm
nil
139
ref
1753
ref
cons
nil
cons
nil
cons
cons
146
ref
subst
1598
ref
assume
eqMp
1838
def
trans
appThm
1835
ref
refl
appThm
nil
139
ref
1835
ref
nil
cons
1839
def
cons
nil
cons
nil
cons
cons
840
ref
subst
trans
appThm
1840
def
1520
remove
refl
appThm
sym
nil
110
ref
1839
ref
cons
1841
def
1602
remove
cons
nil
cons
cons
1842
def
126
ref
subst
1842
remove
194
ref
subst
36
ref
"_31916"
3
ref
var
1843
def
71
ref
49
ref
1843
remove
varTerm
appTerm
1519
ref
appTerm
appTerm
85
ref
appTerm
absTerm
1844
def
1515
ref
appTerm
1845
def
appTerm
refl
1844
ref
1477
ref
appTerm
betaConv
appThm
155
ref
1845
remove
betaConv
appThm
71
ref
1478
ref
1519
ref
appTerm
appTerm
85
ref
appTerm
1846
def
refl
1847
def
appThm
trans
1844
remove
refl
1835
remove
assume
1848
def
appThm
eqMp
sym
227
ref
71
ref
1597
ref
1473
ref
appTerm
appTerm
1849
def
36
ref
1518
remove
233
ref
appTerm
appTerm
1480
remove
233
ref
appTerm
1850
def
appTerm
appTerm
absTerm
1851
def
81
ref
appTerm
1852
def
betaConv
66
ref
68
ref
1851
ref
appTerm
1853
def
absTerm
1854
def
74
ref
appTerm
1855
def
betaConv
26
ref
65
ref
66
ref
68
ref
227
ref
1849
ref
36
ref
1718
remove
74
ref
appTerm
233
ref
appTerm
appTerm
1850
remove
appTerm
appTerm
absTerm
appTerm
absTerm
appTerm
absTerm
1856
def
1454
ref
appTerm
1857
def
betaConv
1775
ref
1446
ref
appTerm
1858
def
betaConv
1831
ref
nil
1833
ref
111
ref
1858
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
175
ref
subst
proveHyp
207
ref
1777
ref
1588
remove
cons
nil
cons
cons
205
ref
subst
eqMp
eqMp
nil
110
ref
99
ref
1856
ref
appTerm
nil
cons
cons
111
ref
1857
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
175
ref
subst
proveHyp
207
ref
208
ref
1856
remove
nil
cons
cons
1722
remove
cons
nil
cons
cons
205
ref
subst
eqMp
eqMp
1859
def
nil
110
ref
65
ref
1854
ref
appTerm
nil
cons
cons
1860
def
111
ref
1855
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
175
ref
subst
proveHyp
256
ref
257
ref
1854
ref
nil
cons
cons
1861
def
260
ref
cons
nil
cons
cons
205
ref
subst
eqMp
eqMp
nil
110
ref
1853
remove
nil
cons
cons
111
ref
1852
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
175
ref
subst
proveHyp
261
ref
262
ref
1851
remove
nil
cons
cons
828
ref
cons
nil
cons
cons
205
ref
subst
eqMp
eqMp
1862
def
nil
110
ref
1849
remove
36
ref
1519
ref
appTerm
1481
ref
appTerm
1863
def
appTerm
nil
cons
cons
1864
def
111
ref
1846
remove
nil
cons
1865
def
cons
nil
cons
1866
def
cons
nil
cons
cons
175
ref
subst
proveHyp
226
ref
226
ref
1837
ref
1591
remove
appThm
1838
ref
trans
appThm
1863
ref
refl
appThm
nil
139
ref
1863
ref
nil
cons
1867
def
cons
nil
cons
nil
cons
cons
840
ref
subst
trans
appThm
1868
def
1847
remove
appThm
sym
nil
110
ref
1867
ref
cons
1869
def
1866
remove
cons
nil
cons
cons
1870
def
126
ref
subst
1870
remove
194
ref
subst
36
ref
"_31918"
3
ref
var
1871
def
71
ref
1478
ref
1871
remove
varTerm
appTerm
appTerm
85
ref
appTerm
absTerm
1872
def
1519
ref
appTerm
1873
def
appTerm
refl
1872
ref
1481
ref
appTerm
betaConv
appThm
155
ref
1873
remove
betaConv
appThm
1482
remove
refl
appThm
trans
1872
remove
refl
1863
remove
assume
1874
def
appThm
eqMp
sym
1483
ref
81
ref
appTerm
1875
def
betaConv
1485
ref
76
ref
appTerm
1876
def
betaConv
1487
ref
74
ref
appTerm
1877
def
betaConv
nil
110
ref
1551
remove
cons
111
ref
1877
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
175
ref
subst
256
ref
257
ref
1487
remove
nil
cons
cons
260
ref
cons
nil
cons
cons
205
ref
subst
eqMp
eqMp
nil
110
ref
1486
remove
nil
cons
cons
111
ref
1876
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
175
ref
subst
proveHyp
261
ref
262
ref
1485
remove
nil
cons
cons
824
ref
cons
nil
cons
cons
205
ref
subst
eqMp
eqMp
nil
110
ref
1484
remove
nil
cons
cons
111
ref
1875
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
175
ref
subst
proveHyp
261
ref
262
ref
1483
remove
nil
cons
cons
828
ref
cons
nil
cons
cons
205
ref
subst
eqMp
eqMp
eqMp
eqMp
nil
151
ref
1867
remove
cons
1878
def
153
ref
1865
remove
cons
nil
cons
cons
nil
cons
cons
167
ref
subst
deductAntisym
eqMp
eqMp
eqMp
eqMp
eqMp
nil
151
ref
1839
remove
cons
1879
def
1747
ref
cons
nil
cons
cons
167
ref
subst
deductAntisym
eqMp
eqMp
eqMp
eqMp
nil
151
ref
1753
ref
cons
1880
def
1747
remove
cons
nil
cons
cons
167
ref
subst
deductAntisym
eqMp
139
ref
1185
ref
142
ref
appTerm
1300
ref
appTerm
absTerm
1881
def
1598
remove
appTerm
1882
def
betaConv
nil
343
ref
1881
ref
appTerm
1883
def
axiom
1884
def
nil
110
ref
1883
remove
nil
cons
cons
1885
def
111
ref
1882
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
175
ref
subst
proveHyp
345
ref
346
ref
1881
ref
nil
cons
cons
1886
def
347
ref
1753
remove
cons
nil
cons
cons
nil
cons
cons
205
ref
subst
eqMp
eqMp
1887
def
nil
1880
ref
153
ref
1600
remove
cons
1888
def
1335
ref
1595
remove
cons
nil
cons
cons
cons
nil
cons
cons
1350
ref
subst
proveHyp
proveHyp
proveHyp
eqMp
absThm
eqMp
eqMp
absThm
eqMp
eqMp
absThm
eqMp
eqMp
eqMp
256
ref
257
ref
1527
remove
nil
cons
cons
1585
ref
cons
nil
cons
cons
724
ref
subst
proveHyp
proveHyp
proveHyp
proveHyp
proveHyp
eqMp
nil
151
ref
1564
remove
cons
153
ref
1529
remove
cons
nil
cons
1889
def
cons
nil
cons
cons
167
ref
subst
deductAntisym
eqMp
eqMp
eqMp
nil
151
ref
1557
remove
cons
1889
ref
cons
nil
cons
cons
167
ref
subst
deductAntisym
eqMp
eqMp
absThm
eqMp
nil
110
ref
65
ref
258
ref
71
ref
1508
ref
797
ref
appTerm
appTerm
1528
ref
appTerm
absTerm
appTerm
nil
cons
cons
111
ref
71
ref
1509
remove
appTerm
1528
ref
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
175
ref
subst
proveHyp
256
ref
257
ref
1508
remove
nil
cons
cons
1889
ref
cons
nil
cons
cons
811
ref
subst
eqMp
eqMp
proveHyp
proveHyp
proveHyp
proveHyp
eqMp
nil
151
ref
1546
remove
cons
1889
ref
cons
nil
cons
cons
167
ref
subst
deductAntisym
eqMp
eqMp
eqMp
nil
151
ref
1539
remove
cons
1889
ref
cons
nil
cons
cons
167
ref
subst
deductAntisym
eqMp
eqMp
absThm
eqMp
nil
110
ref
65
ref
258
ref
71
ref
1489
ref
797
ref
appTerm
appTerm
1528
ref
appTerm
absTerm
appTerm
nil
cons
cons
111
ref
71
ref
1490
remove
appTerm
1528
remove
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
175
ref
subst
proveHyp
256
ref
257
ref
1489
remove
nil
cons
cons
1889
ref
cons
nil
cons
cons
811
ref
subst
eqMp
eqMp
proveHyp
proveHyp
eqMp
nil
151
ref
1510
remove
cons
1889
remove
cons
nil
cons
cons
167
ref
subst
deductAntisym
eqMp
eqMp
1890
def
subst
eqMp
eqMp
207
ref
208
ref
1114
remove
nil
cons
cons
29
ref
1152
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
724
ref
subst
proveHyp
eqMp
nil
1437
remove
153
ref
1128
remove
cons
nil
cons
1891
def
cons
nil
cons
cons
167
ref
subst
deductAntisym
eqMp
eqMp
eqMp
nil
151
ref
1145
remove
cons
1891
ref
cons
nil
cons
cons
167
ref
subst
deductAntisym
eqMp
eqMp
absThm
eqMp
nil
110
ref
68
ref
1144
remove
appTerm
nil
cons
cons
111
ref
71
ref
1141
remove
appTerm
1115
ref
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
175
ref
subst
proveHyp
261
ref
262
ref
1140
remove
nil
cons
cons
1891
ref
cons
nil
cons
cons
811
ref
subst
eqMp
eqMp
eqMp
nil
151
ref
1137
remove
cons
1891
ref
cons
nil
cons
cons
167
ref
subst
deductAntisym
eqMp
eqMp
eqMp
nil
151
ref
1134
remove
cons
1891
ref
cons
nil
cons
cons
167
ref
subst
deductAntisym
eqMp
eqMp
absThm
eqMp
nil
110
ref
99
ref
29
ref
71
ref
1126
ref
39
ref
appTerm
appTerm
1115
ref
appTerm
absTerm
appTerm
nil
cons
cons
111
ref
71
ref
1127
remove
appTerm
1115
remove
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
175
ref
subst
proveHyp
207
ref
208
ref
1126
remove
nil
cons
cons
1891
remove
cons
nil
cons
cons
811
ref
subst
eqMp
eqMp
eqMp
eqMp
proveHyp
proveHyp
eqMp
nil
151
ref
1104
remove
cons
1065
ref
cons
nil
cons
cons
167
ref
subst
deductAntisym
eqMp
eqMp
eqMp
nil
151
ref
1102
remove
cons
1065
ref
cons
nil
cons
cons
167
ref
subst
deductAntisym
eqMp
eqMp
absThm
eqMp
nil
110
ref
99
ref
"x'"
2
ref
var
1892
def
71
ref
1084
ref
1892
ref
varTerm
1893
def
appTerm
appTerm
1010
ref
appTerm
absTerm
appTerm
nil
cons
cons
111
ref
71
ref
1085
remove
appTerm
1010
ref
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
175
ref
subst
proveHyp
207
ref
208
ref
1084
remove
nil
cons
cons
1065
ref
cons
nil
cons
cons
811
ref
subst
eqMp
eqMp
eqMp
nil
151
ref
1098
remove
cons
1065
ref
cons
nil
cons
cons
167
ref
subst
deductAntisym
eqMp
eqMp
absThm
eqMp
nil
110
ref
68
ref
263
ref
71
ref
1086
ref
627
ref
appTerm
appTerm
1894
def
1010
ref
appTerm
absTerm
appTerm
nil
cons
cons
111
ref
71
ref
1087
ref
appTerm
1895
def
1010
remove
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
175
ref
subst
proveHyp
261
ref
262
ref
1086
ref
nil
cons
cons
1896
def
1065
remove
cons
nil
cons
cons
811
ref
subst
eqMp
eqMp
eqMp
absThm
eqMp
eqMp
nil
151
ref
1074
remove
cons
153
ref
1076
remove
cons
nil
cons
cons
nil
cons
cons
167
ref
subst
deductAntisym
eqMp
eqMp
absThm
eqMp
eqMp
nil
110
ref
49
ref
1066
remove
appTerm
1073
remove
appTerm
nil
cons
cons
111
ref
65
ref
1042
ref
appTerm
nil
cons
1897
def
cons
nil
cons
cons
nil
cons
cons
175
ref
subst
proveHyp
226
ref
216
ref
1042
ref
220
ref
appTerm
betaConv
appThm
224
ref
48
ref
226
ref
1044
ref
appThm
1042
ref
309
ref
appTerm
betaConv
appThm
absThm
appThm
appThm
appThm
224
ref
48
ref
1044
remove
absThm
appThm
appThm
nil
1024
ref
1042
remove
nil
cons
1898
def
cons
nil
cons
nil
cons
cons
1024
ref
71
ref
49
ref
1024
ref
varTerm
1899
def
220
ref
appTerm
appTerm
65
ref
48
ref
71
ref
1899
ref
57
ref
appTerm
1900
def
appTerm
1899
ref
309
ref
appTerm
appTerm
absTerm
appTerm
appTerm
appTerm
65
ref
48
ref
1900
remove
absTerm
appTerm
appTerm
absTerm
1901
def
1899
ref
appTerm
1902
def
betaConv
nil
64
ref
1
ref
46
ref
4
ref
cons
opType
constTerm
1901
ref
appTerm
1903
def
axiom
nil
110
ref
1903
remove
nil
cons
cons
111
ref
1902
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
175
ref
subst
proveHyp
"A"
50
ref
cons
nil
cons
"P"
46
remove
var
1901
remove
nil
cons
cons
"x"
45
ref
var
1899
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
205
ref
subst
eqMp
eqMp
1904
def
subst
eqMp
eqMp
nil
110
ref
1897
remove
cons
111
ref
1043
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
175
ref
subst
proveHyp
256
ref
257
ref
1898
remove
cons
293
ref
cons
nil
cons
cons
205
ref
subst
eqMp
eqMp
nil
1075
remove
111
ref
1040
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
175
ref
subst
proveHyp
207
ref
208
ref
1039
remove
nil
cons
cons
210
ref
cons
nil
cons
cons
205
ref
subst
eqMp
eqMp
eqMp
absThm
eqMp
eqMp
eqMp
eqMp
absThm
eqMp
eqMp
nil
151
ref
1008
remove
cons
153
ref
1013
remove
cons
nil
cons
cons
nil
cons
cons
167
ref
subst
deductAntisym
eqMp
1905
def
subst
eqMp
eqMp
nil
99
ref
29
ref
725
ref
26
ref
853
remove
41
ref
appTerm
1906
def
absTerm
appTerm
absTerm
appTerm
thm
624
ref
29
ref
997
ref
26
ref
439
ref
625
ref
appThm
998
ref
appThm
1907
def
absThm
appThm
absThm
appThm
sym
nil
68
ref
263
ref
1000
ref
1001
ref
437
ref
627
ref
appTerm
1002
ref
appTerm
1908
def
absTerm
appTerm
absTerm
appTerm
axiom
nil
110
ref
68
ref
69
ref
1000
ref
70
ref
437
ref
76
ref
appTerm
81
ref
appTerm
1909
def
absTerm
appTerm
absTerm
appTerm
nil
cons
cons
111
ref
99
ref
29
ref
725
ref
26
ref
438
ref
39
ref
appTerm
41
ref
appTerm
1910
def
absTerm
appTerm
absTerm
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
175
ref
subst
proveHyp
441
ref
1905
ref
subst
eqMp
eqMp
nil
99
ref
29
ref
725
ref
26
ref
436
ref
39
ref
appTerm
41
ref
appTerm
1911
def
absTerm
appTerm
absTerm
appTerm
thm
624
ref
29
ref
997
ref
26
ref
445
ref
625
ref
appThm
998
ref
appThm
1912
def
absThm
appThm
absThm
appThm
sym
nil
68
ref
263
ref
1000
ref
1001
ref
443
ref
627
ref
appTerm
1002
ref
appTerm
1913
def
absTerm
appTerm
absTerm
appTerm
axiom
nil
110
ref
68
ref
69
ref
1000
ref
70
ref
443
ref
76
ref
appTerm
81
ref
appTerm
1914
def
absTerm
appTerm
absTerm
appTerm
nil
cons
cons
111
ref
99
ref
29
ref
725
ref
26
ref
444
remove
39
ref
appTerm
41
ref
appTerm
absTerm
appTerm
absTerm
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
175
ref
subst
proveHyp
447
ref
1905
ref
subst
eqMp
eqMp
nil
99
ref
29
ref
725
ref
26
ref
442
ref
39
ref
appTerm
41
ref
appTerm
1915
def
absTerm
appTerm
absTerm
appTerm
thm
nil
262
ref
227
ref
448
ref
243
ref
appTerm
243
ref
appTerm
1916
def
absTerm
1917
def
nil
cons
cons
nil
cons
nil
cons
cons
663
ref
subst
227
ref
nil
139
ref
1916
ref
nil
cons
cons
nil
cons
nil
cons
cons
146
ref
subst
nil
26
ref
267
ref
cons
1918
def
1154
ref
cons
nil
cons
cons
486
ref
subst
216
ref
nil
258
ref
1156
ref
nil
cons
1919
def
cons
nil
cons
1920
def
nil
cons
cons
489
ref
subst
1921
def
appThm
224
ref
66
ref
224
ref
452
ref
225
ref
69
ref
225
ref
453
ref
226
ref
49
ref
461
ref
1156
ref
appTerm
1922
def
appTerm
1923
def
refl
1352
ref
nil
1170
ref
464
ref
nil
cons
1924
def
cons
66
ref
511
ref
cons
nil
cons
cons
nil
cons
cons
1351
ref
subst
appThm
appThm
appThm
520
ref
appThm
absThm
appThm
absThm
appThm
absThm
appThm
absThm
appThm
appThm
nil
139
ref
65
ref
66
ref
65
ref
452
ref
68
ref
69
ref
68
ref
453
ref
71
ref
1923
remove
1358
ref
515
remove
467
ref
464
ref
appTerm
233
ref
appTerm
1925
def
appTerm
1926
def
appTerm
1927
def
appTerm
1928
def
appTerm
469
ref
appTerm
1929
def
absTerm
1930
def
appTerm
1931
def
absTerm
1932
def
appTerm
1933
def
absTerm
1934
def
appTerm
1935
def
absTerm
1936
def
appTerm
nil
cons
cons
nil
cons
nil
cons
cons
527
ref
subst
trans
trans
sym
nil
257
ref
1936
remove
nil
cons
cons
nil
cons
nil
cons
cons
662
ref
subst
66
ref
nil
139
ref
1935
remove
nil
cons
cons
nil
cons
nil
cons
cons
146
ref
subst
nil
257
ref
1934
remove
nil
cons
cons
nil
cons
nil
cons
cons
662
ref
subst
452
ref
nil
139
ref
1933
remove
nil
cons
cons
nil
cons
nil
cons
cons
146
ref
subst
nil
262
ref
1932
remove
nil
cons
cons
nil
cons
nil
cons
cons
663
ref
subst
69
ref
nil
139
ref
1931
remove
nil
cons
cons
nil
cons
nil
cons
cons
146
ref
subst
nil
262
ref
1930
remove
nil
cons
cons
nil
cons
nil
cons
cons
663
ref
subst
453
ref
nil
139
ref
1929
remove
nil
cons
cons
nil
cons
nil
cons
cons
146
ref
subst
nil
110
ref
1928
remove
nil
cons
1937
def
cons
111
ref
521
ref
cons
nil
cons
1938
def
cons
nil
cons
cons
1939
def
126
ref
subst
1939
remove
194
ref
subst
nil
151
ref
1922
remove
nil
cons
cons
153
ref
1927
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
334
ref
subst
nil
1429
ref
153
ref
1926
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
1940
def
167
ref
subst
1940
remove
334
ref
subst
1432
ref
nil
151
ref
516
remove
cons
153
ref
1925
ref
nil
cons
cons
nil
cons
cons
nil
cons
cons
334
ref
subst
467
ref
refl
1434
ref
appThm
1925
remove
assume
appThm
1389
ref
trans
sym
145
ref
eqMp
proveHyp
proveHyp
proveHyp
proveHyp
proveHyp
eqMp
nil
151
ref
1937
remove
cons
153
ref
521
ref
cons
nil
cons
1941
def
cons
nil
cons
cons
167
ref
subst
deductAntisym
eqMp
eqMp
absThm
eqMp
eqMp
absThm
eqMp
eqMp
absThm
eqMp
eqMp
absThm
eqMp
eqMp
eqMp
1942
def
absThm
eqMp
nil
68
ref
1917
remove
appTerm
thm
225
ref
"s"
11
ref
var
1943
def
1943
ref
531
remove
"Hardware.Bus.case1"
const
1
ref
11
ref
534
ref
cons
opType
constTerm
1943
ref
varTerm
1944
def
appTerm
1945
def
appTerm
535
ref
"Hardware.case1"
const
1
ref
11
ref
590
remove
cons
opType
1946
def
constTerm
1944
ref
appTerm
1947
def
appTerm
1948
def
appTerm
absTerm
1949
def
1944
ref
appTerm
1950
def
betaConv
nil
68
ref
1949
ref
appTerm
1951
def
axiom
nil
110
ref
1951
remove
nil
cons
cons
111
ref
1950
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
175
ref
subst
proveHyp
261
ref
262
ref
1949
remove
nil
cons
cons
263
ref
1944
ref
nil
cons
cons
nil
cons
1952
def
cons
nil
cons
cons
205
ref
subst
eqMp
eqMp
1953
def
21
ref
appThm
21
ref
appThm
21
ref
appThm
absThm
appThm
sym
nil
262
ref
1943
ref
1948
ref
20
ref
appTerm
20
ref
appTerm
20
ref
appTerm
1954
def
absTerm
nil
cons
cons
nil
cons
nil
cons
cons
663
ref
subst
1943
ref
nil
139
ref
1954
remove
nil
cons
cons
nil
cons
nil
cons
cons
146
ref
subst
nil
539
ref
1947
ref
nil
cons
cons
1955
def
nil
cons
1956
def
nil
cons
cons
1957
def
602
ref
subst
eqMp
absThm
eqMp
eqMp
nil
68
ref
1943
ref
1945
ref
20
ref
appTerm
20
ref
appTerm
20
ref
appTerm
absTerm
appTerm
thm
588
ref
refl
1958
def
539
ref
601
ref
absThm
appThm
383
ref
591
ref
384
ref
cons
1959
def
389
remove
subst
subst
trans
sym
145
ref
eqMp
nil
588
ref
539
ref
545
ref
20
ref
appTerm
1960
def
20
ref
appTerm
1961
def
20
ref
appTerm
1962
def
absTerm
appTerm
thm
224
ref
66
ref
225
ref
227
ref
308
ref
refl
367
remove
appThm
1304
remove
trans
absThm
appThm
390
ref
trans
absThm
appThm
392
ref
trans
sym
145
ref
eqMp
nil
65
ref
66
ref
68
ref
227
ref
308
ref
518
remove
233
ref
appTerm
appTerm
absTerm
appTerm
absTerm
appTerm
thm
nil
262
ref
263
ref
68
ref
1001
ref
36
ref
10
ref
1151
ref
appTerm
242
ref
1002
ref
appTerm
1963
def
appTerm
appTerm
1003
ref
appTerm
1964
def
absTerm
1965
def
appTerm
1966
def
absTerm
1967
def
nil
cons
cons
nil
cons
nil
cons
cons
663
ref
subst
263
ref
nil
139
ref
1966
remove
nil
cons
cons
nil
cons
nil
cons
cons
146
ref
subst
nil
262
ref
1965
remove
nil
cons
cons
nil
cons
nil
cons
cons
663
ref
subst
1001
ref
nil
139
ref
1964
remove
nil
cons
cons
nil
cons
nil
cons
cons
146
ref
subst
155
ref
19
ref
1151
ref
refl
1968
def
appThm
1963
ref
refl
1969
def
appThm
appThm
1003
ref
refl
appThm
sym
nil
263
ref
1002
ref
nil
cons
1970
def
cons
1971
def
1166
ref
24
ref
cons
cons
nil
cons
cons
1438
ref
subst
eqMp
eqMp
absThm
eqMp
eqMp
absThm
eqMp
nil
68
ref
1967
remove
appTerm
thm
nil
262
ref
263
ref
68
ref
1001
ref
36
ref
436
ref
1151
ref
appTerm
1963
ref
appTerm
appTerm
1908
ref
appTerm
1972
def
absTerm
1973
def
appTerm
1974
def
absTerm
1975
def
nil
cons
cons
nil
cons
nil
cons
cons
663
ref
subst
263
ref
nil
139
ref
1974
remove
nil
cons
cons
nil
cons
nil
cons
cons
146
ref
subst
nil
262
ref
1973
remove
nil
cons
cons
nil
cons
nil
cons
cons
663
ref
subst
1001
ref
nil
139
ref
1972
remove
nil
cons
cons
nil
cons
nil
cons
cons
146
ref
subst
155
ref
439
ref
1968
ref
appThm
1969
ref
appThm
appThm
1908
ref
refl
appThm
sym
nil
1971
ref
1166
ref
440
ref
cons
cons
nil
cons
cons
1438
ref
subst
eqMp
eqMp
absThm
eqMp
eqMp
absThm
eqMp
nil
68
ref
1975
remove
appTerm
thm
nil
262
ref
263
ref
68
ref
1001
ref
36
ref
442
ref
1151
ref
appTerm
1963
ref
appTerm
appTerm
1913
ref
appTerm
1976
def
absTerm
1977
def
appTerm
1978
def
absTerm
1979
def
nil
cons
cons
nil
cons
nil
cons
cons
663
ref
subst
263
ref
nil
139
ref
1978
remove
nil
cons
cons
nil
cons
nil
cons
cons
146
ref
subst
nil
262
ref
1977
remove
nil
cons
cons
nil
cons
nil
cons
cons
663
ref
subst
1001
ref
nil
139
ref
1976
remove
nil
cons
cons
nil
cons
nil
cons
cons
146
ref
subst
155
ref
445
ref
1968
ref
appThm
1969
ref
appThm
appThm
1913
remove
refl
appThm
sym
nil
1971
ref
1166
ref
446
remove
cons
cons
nil
cons
cons
1438
ref
subst
eqMp
eqMp
absThm
eqMp
eqMp
absThm
eqMp
nil
68
ref
1979
remove
appTerm
thm
nil
178
ref
22
ref
71
ref
633
remove
appTerm
638
remove
appTerm
1980
def
absTerm
1981
def
nil
cons
cons
nil
cons
nil
cons
cons
995
remove
642
ref
subst
1982
def
subst
22
ref
nil
139
ref
1980
remove
nil
cons
cons
nil
cons
nil
cons
cons
146
ref
subst
851
remove
eqMp
absThm
eqMp
nil
108
ref
1981
remove
appTerm
thm
nil
208
ref
29
ref
65
ref
66
ref
68
ref
227
ref
71
ref
234
ref
appTerm
1766
ref
appTerm
1983
def
absTerm
1984
def
appTerm
1985
def
absTerm
1986
def
appTerm
1987
def
absTerm
1988
def
nil
cons
cons
1989
def
nil
cons
nil
cons
cons
643
ref
subst
29
ref
nil
139
ref
1987
remove
nil
cons
cons
nil
cons
nil
cons
cons
146
ref
subst
nil
257
ref
1986
remove
nil
cons
cons
nil
cons
nil
cons
cons
662
ref
subst
66
ref
nil
139
ref
1985
remove
nil
cons
cons
nil
cons
nil
cons
cons
146
ref
subst
nil
262
ref
1984
remove
nil
cons
cons
nil
cons
nil
cons
cons
663
ref
subst
227
ref
nil
139
ref
1983
remove
nil
cons
cons
nil
cons
nil
cons
cons
146
ref
subst
nil
110
ref
234
ref
nil
cons
1990
def
cons
111
ref
1766
ref
nil
cons
1991
def
cons
nil
cons
cons
nil
cons
cons
1992
def
126
ref
subst
1992
remove
194
ref
subst
1798
remove
sym
26
ref
241
ref
41
ref
appTerm
1993
def
absTerm
1994
def
243
ref
appTerm
betaConv
1995
def
sym
227
ref
36
ref
244
ref
appTerm
234
ref
appTerm
1996
def
absTerm
1997
def
233
ref
appTerm
1998
def
betaConv
66
ref
68
ref
1997
ref
appTerm
1999
def
absTerm
2000
def
74
ref
appTerm
2001
def
betaConv
29
ref
65
ref
2000
ref
appTerm
2002
def
absTerm
2003
def
39
ref
appTerm
2004
def
betaConv
624
ref
29
ref
224
ref
66
ref
225
ref
227
ref
1996
remove
assume
sym
245
remove
assume
sym
deductAntisym
absThm
appThm
absThm
appThm
absThm
appThm
255
remove
eqMp
nil
110
ref
99
ref
2003
ref
appTerm
nil
cons
cons
111
ref
2004
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
175
ref
subst
proveHyp
207
ref
208
ref
2003
remove
nil
cons
cons
210
ref
cons
nil
cons
cons
205
ref
subst
eqMp
eqMp
nil
110
ref
2002
remove
nil
cons
cons
111
ref
2001
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
175
ref
subst
proveHyp
256
ref
257
ref
2000
remove
nil
cons
cons
260
ref
cons
nil
cons
cons
205
ref
subst
eqMp
eqMp
nil
110
ref
1999
remove
nil
cons
cons
111
ref
1998
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
175
ref
subst
proveHyp
261
ref
262
ref
1997
remove
nil
cons
cons
265
ref
cons
nil
cons
cons
205
ref
subst
eqMp
eqMp
2005
def
nil
139
ref
1990
ref
cons
nil
cons
nil
cons
cons
146
ref
subst
234
ref
assume
eqMp
trans
sym
145
ref
eqMp
eqMp
207
ref
208
ref
1994
ref
nil
cons
cons
2006
def
1154
ref
cons
nil
cons
cons
724
ref
subst
proveHyp
nil
110
ref
725
ref
1994
ref
appTerm
2007
def
nil
cons
2008
def
cons
111
ref
1607
ref
457
ref
240
ref
appTerm
appTerm
2009
def
55
ref
appTerm
2010
def
nil
cons
cons
nil
cons
cons
nil
cons
cons
175
ref
subst
proveHyp
nil
274
remove
nil
cons
cons
29
ref
71
ref
725
ref
26
ref
728
ref
absTerm
2011
def
appTerm
2012
def
appTerm
2013
def
1801
ref
appTerm
2014
def
absTerm
2015
def
39
ref
appTerm
2016
def
betaConv
48
ref
99
ref
2015
ref
appTerm
2017
def
absTerm
2018
def
57
ref
appTerm
2019
def
betaConv
271
ref
65
ref
2018
ref
appTerm
2020
def
absTerm
2021
def
275
ref
appTerm
2022
def
betaConv
nil
99
ref
29
ref
65
ref
271
ref
65
ref
48
ref
99
ref
26
ref
71
ref
728
ref
appTerm
2023
def
1801
ref
appTerm
absTerm
2024
def
appTerm
2025
def
absTerm
2026
def
appTerm
2027
def
absTerm
2028
def
appTerm
2029
def
absTerm
2030
def
appTerm
2031
def
axiom
nil
110
ref
2031
ref
nil
cons
2032
def
cons
2033
def
111
ref
65
ref
2021
ref
appTerm
nil
cons
2034
def
cons
nil
cons
cons
nil
cons
cons
2035
def
175
ref
subst
proveHyp
2035
ref
126
ref
subst
2035
remove
194
ref
subst
nil
257
ref
2021
remove
nil
cons
cons
2036
def
nil
cons
nil
cons
cons
662
ref
subst
271
ref
nil
139
ref
2020
remove
nil
cons
2037
def
cons
nil
cons
nil
cons
cons
146
ref
subst
nil
257
ref
2018
remove
nil
cons
cons
2038
def
nil
cons
nil
cons
cons
662
ref
subst
48
ref
nil
139
ref
2017
remove
nil
cons
2039
def
cons
nil
cons
nil
cons
cons
146
ref
subst
nil
208
ref
2015
remove
nil
cons
cons
2040
def
nil
cons
nil
cons
cons
643
ref
subst
29
ref
nil
139
ref
2014
remove
nil
cons
cons
nil
cons
nil
cons
cons
146
ref
subst
nil
110
ref
2012
ref
nil
cons
2041
def
cons
2042
def
111
ref
1801
ref
nil
cons
2043
def
cons
nil
cons
2044
def
cons
nil
cons
cons
2045
def
126
ref
subst
2045
ref
194
ref
subst
nil
2033
ref
2044
ref
cons
nil
cons
cons
2046
def
175
ref
subst
nil
2042
remove
111
ref
71
ref
2031
remove
appTerm
1801
ref
appTerm
2047
def
nil
cons
2048
def
cons
nil
cons
2049
def
cons
nil
cons
cons
175
ref
subst
nil
208
ref
26
ref
71
ref
2011
ref
41
ref
appTerm
2050
def
appTerm
2047
ref
appTerm
2051
def
absTerm
nil
cons
cons
nil
cons
nil
cons
cons
643
ref
subst
26
ref
nil
139
ref
2051
remove
nil
cons
cons
nil
cons
nil
cons
cons
146
ref
subst
nil
110
ref
2050
ref
nil
cons
2052
def
cons
2049
ref
cons
nil
cons
cons
2053
def
126
ref
subst
2053
remove
194
ref
subst
2050
ref
betaConv
2050
remove
assume
eqMp
nil
110
ref
728
ref
nil
cons
2054
def
cons
2055
def
2049
remove
cons
nil
cons
cons
2056
def
175
ref
subst
proveHyp
2056
ref
126
ref
subst
2056
remove
194
ref
subst
2046
ref
126
ref
subst
2046
remove
194
ref
subst
nil
2055
ref
2044
remove
cons
nil
cons
cons
175
ref
subst
2024
ref
41
ref
appTerm
2057
def
betaConv
2026
ref
57
ref
appTerm
2058
def
betaConv
2028
ref
275
ref
appTerm
2059
def
betaConv
2030
ref
39
ref
appTerm
2060
def
betaConv
nil
2033
remove
111
ref
2060
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
175
ref
subst
207
ref
208
ref
2030
remove
nil
cons
cons
210
ref
cons
nil
cons
cons
205
ref
subst
eqMp
eqMp
nil
110
ref
2029
remove
nil
cons
cons
111
ref
2059
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
175
ref
subst
proveHyp
256
ref
257
ref
2028
remove
nil
cons
cons
291
ref
cons
nil
cons
cons
205
ref
subst
eqMp
eqMp
nil
110
ref
2027
remove
nil
cons
cons
111
ref
2058
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
175
ref
subst
proveHyp
256
ref
257
ref
2026
remove
nil
cons
cons
293
ref
cons
nil
cons
cons
205
ref
subst
eqMp
eqMp
nil
110
ref
2025
remove
nil
cons
cons
111
ref
2057
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
175
ref
subst
proveHyp
207
ref
208
ref
2024
remove
nil
cons
cons
213
ref
cons
nil
cons
cons
205
ref
subst
eqMp
eqMp
eqMp
eqMp
nil
151
ref
2032
remove
cons
2061
def
153
ref
2043
remove
cons
nil
cons
2062
def
cons
nil
cons
cons
167
ref
subst
deductAntisym
eqMp
eqMp
nil
151
ref
2054
ref
cons
2063
def
153
ref
2048
remove
cons
nil
cons
2064
def
cons
nil
cons
cons
167
ref
subst
deductAntisym
eqMp
eqMp
eqMp
nil
151
ref
2052
remove
cons
2064
ref
cons
nil
cons
cons
167
ref
subst
deductAntisym
eqMp
eqMp
absThm
eqMp
nil
110
ref
99
ref
1892
ref
71
ref
2011
ref
1893
ref
appTerm
appTerm
2047
ref
appTerm
absTerm
appTerm
nil
cons
cons
111
ref
2013
remove
2047
remove
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
175
ref
subst
proveHyp
207
ref
208
ref
2011
ref
nil
cons
cons
2065
def
2064
remove
cons
nil
cons
cons
811
ref
subst
eqMp
eqMp
eqMp
eqMp
nil
151
ref
2041
remove
cons
2062
remove
cons
nil
cons
cons
167
ref
subst
deductAntisym
eqMp
eqMp
absThm
eqMp
eqMp
absThm
eqMp
eqMp
absThm
eqMp
eqMp
nil
2061
remove
153
ref
2034
ref
cons
nil
cons
cons
nil
cons
cons
167
ref
subst
deductAntisym
eqMp
eqMp
nil
110
ref
2034
remove
cons
111
ref
2022
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
175
ref
subst
proveHyp
256
ref
2036
remove
291
ref
cons
nil
cons
cons
205
ref
subst
eqMp
eqMp
nil
110
ref
2037
remove
cons
111
ref
2019
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
175
ref
subst
proveHyp
256
ref
2038
remove
293
ref
cons
nil
cons
cons
205
ref
subst
eqMp
eqMp
nil
110
ref
2039
remove
cons
111
ref
2016
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
175
ref
subst
proveHyp
207
ref
2040
remove
210
ref
cons
nil
cons
cons
205
ref
subst
eqMp
eqMp
2066
def
subst
eqMp
eqMp
eqMp
nil
151
ref
1990
remove
cons
153
ref
1991
ref
cons
nil
cons
cons
nil
cons
cons
167
ref
subst
deductAntisym
eqMp
eqMp
absThm
eqMp
eqMp
absThm
eqMp
eqMp
absThm
eqMp
2067
def
nil
99
ref
1988
ref
appTerm
2068
def
thm
nil
208
ref
29
ref
65
ref
66
ref
1767
remove
1000
ref
227
ref
234
ref
absTerm
2069
def
appTerm
2070
def
appTerm
2071
def
absTerm
2072
def
appTerm
2073
def
absTerm
2074
def
nil
cons
cons
nil
cons
nil
cons
cons
643
ref
subst
29
ref
nil
139
ref
2073
remove
nil
cons
cons
nil
cons
nil
cons
cons
146
ref
subst
nil
257
ref
2072
remove
nil
cons
cons
nil
cons
nil
cons
cons
662
ref
subst
66
ref
nil
139
ref
2071
ref
nil
cons
2075
def
cons
nil
cons
nil
cons
cons
146
ref
subst
nil
110
ref
1991
ref
cons
2076
def
111
ref
2070
ref
nil
cons
2077
def
cons
2078
def
nil
cons
2079
def
cons
nil
cons
cons
2080
def
126
ref
subst
2080
remove
194
ref
subst
48
ref
71
ref
1607
ref
457
ref
57
ref
appTerm
appTerm
55
ref
appTerm
appTerm
725
ref
26
ref
702
ref
41
ref
appTerm
2081
def
absTerm
appTerm
appTerm
absTerm
2082
def
240
ref
appTerm
2083
def
betaConv
271
ref
65
ref
48
ref
1802
remove
2012
remove
appTerm
absTerm
appTerm
absTerm
2084
def
74
ref
appTerm
2085
def
betaConv
29
ref
65
ref
2084
ref
appTerm
2086
def
absTerm
2087
def
39
ref
appTerm
2088
def
betaConv
nil
99
ref
2087
ref
appTerm
2089
def
axiom
2090
def
nil
110
ref
2089
remove
nil
cons
cons
2091
def
111
ref
2088
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
175
ref
subst
proveHyp
207
ref
208
ref
2087
ref
nil
cons
cons
2092
def
210
ref
cons
nil
cons
cons
205
ref
subst
eqMp
eqMp
nil
110
ref
2086
remove
nil
cons
cons
111
ref
2085
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
175
ref
subst
proveHyp
256
ref
257
ref
2084
remove
nil
cons
cons
260
ref
cons
nil
cons
cons
205
ref
subst
eqMp
eqMp
nil
110
ref
65
ref
2082
ref
appTerm
nil
cons
cons
111
ref
2083
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
175
ref
subst
proveHyp
256
ref
257
ref
2082
remove
nil
cons
cons
704
ref
cons
nil
cons
cons
205
ref
subst
eqMp
eqMp
nil
110
ref
71
ref
2010
remove
appTerm
2007
ref
appTerm
nil
cons
cons
2079
ref
cons
nil
cons
cons
175
ref
subst
proveHyp
226
ref
226
ref
1795
ref
1222
ref
493
ref
52
ref
1225
remove
appTerm
1223
ref
appTerm
2093
def
absTerm
2094
def
496
ref
appTerm
2095
def
betaConv
224
ref
493
ref
2093
remove
assume
sym
1226
remove
assume
sym
deductAntisym
absThm
appThm
1230
ref
eqMp
nil
110
ref
65
ref
2094
ref
appTerm
nil
cons
cons
111
ref
2095
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
175
ref
subst
proveHyp
256
ref
257
ref
2094
remove
nil
cons
cons
509
ref
cons
nil
cons
cons
205
ref
subst
eqMp
eqMp
2096
def
subst
appThm
1797
ref
appThm
1779
ref
1789
ref
57
ref
appTerm
2097
def
betaConv
1791
ref
496
ref
appTerm
2098
def
betaConv
1793
remove
nil
110
ref
1792
remove
nil
cons
cons
111
ref
2098
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
175
ref
subst
proveHyp
256
ref
257
ref
1791
remove
nil
cons
cons
509
ref
cons
nil
cons
cons
205
ref
subst
eqMp
eqMp
nil
110
ref
1790
remove
nil
cons
cons
111
ref
2097
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
175
ref
subst
proveHyp
256
ref
257
ref
1789
remove
nil
cons
cons
293
ref
cons
nil
cons
cons
205
ref
subst
eqMp
eqMp
2099
def
subst
nil
139
ref
1991
ref
cons
nil
cons
nil
cons
cons
146
ref
subst
1766
ref
assume
eqMp
trans
trans
appThm
2007
ref
refl
appThm
nil
139
ref
2008
remove
cons
nil
cons
nil
cons
cons
840
ref
subst
trans
appThm
2070
ref
refl
2100
def
appThm
sym
nil
208
ref
26
ref
71
ref
1994
ref
41
ref
appTerm
2101
def
appTerm
2070
ref
appTerm
2102
def
absTerm
nil
cons
cons
nil
cons
nil
cons
cons
643
ref
subst
26
ref
nil
139
ref
2102
remove
nil
cons
cons
nil
cons
nil
cons
cons
146
ref
subst
nil
110
ref
2101
ref
nil
cons
2103
def
cons
2079
ref
cons
nil
cons
cons
2104
def
126
ref
subst
2104
remove
194
ref
subst
2101
ref
betaConv
2105
def
2101
remove
assume
eqMp
nil
110
ref
1993
ref
nil
cons
2106
def
cons
2079
ref
cons
nil
cons
cons
2107
def
175
ref
subst
proveHyp
2107
ref
126
ref
subst
2107
remove
194
ref
subst
26
ref
71
ref
1993
ref
appTerm
61
ref
240
ref
appTerm
2108
def
appTerm
2109
def
absTerm
2110
def
41
ref
appTerm
2111
def
betaConv
48
ref
99
ref
26
ref
71
ref
2081
remove
appTerm
62
ref
appTerm
absTerm
appTerm
absTerm
2112
def
240
ref
appTerm
2113
def
betaConv
271
ref
65
ref
48
ref
99
ref
26
ref
2023
ref
62
ref
appTerm
absTerm
2114
def
appTerm
2115
def
absTerm
2116
def
appTerm
2117
def
absTerm
2118
def
74
ref
appTerm
2119
def
betaConv
29
ref
65
ref
2118
ref
appTerm
2120
def
absTerm
2121
def
39
ref
appTerm
2122
def
betaConv
2123
def
nil
99
ref
2121
ref
appTerm
2124
def
axiom
2125
def
nil
110
ref
2124
ref
nil
cons
2126
def
cons
2127
def
111
ref
2122
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
175
ref
subst
2128
def
proveHyp
207
ref
208
ref
2121
remove
nil
cons
cons
210
ref
cons
nil
cons
cons
205
ref
subst
2129
def
eqMp
eqMp
nil
110
ref
2120
remove
nil
cons
cons
2130
def
111
ref
2119
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
175
ref
subst
proveHyp
256
ref
257
ref
2118
ref
nil
cons
cons
2131
def
260
ref
cons
nil
cons
cons
205
ref
subst
eqMp
eqMp
nil
110
ref
65
ref
2112
ref
appTerm
nil
cons
cons
111
ref
2113
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
175
ref
subst
proveHyp
256
ref
257
ref
2112
remove
nil
cons
cons
704
ref
cons
nil
cons
cons
205
ref
subst
eqMp
eqMp
nil
110
ref
99
ref
2110
ref
appTerm
nil
cons
cons
111
ref
2111
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
175
ref
subst
proveHyp
207
ref
208
ref
2110
remove
nil
cons
cons
213
ref
cons
nil
cons
cons
205
ref
subst
eqMp
eqMp
nil
110
ref
2109
remove
nil
cons
cons
2079
ref
cons
nil
cons
cons
175
ref
subst
proveHyp
226
ref
226
ref
nil
139
ref
2106
ref
cons
nil
cons
nil
cons
cons
146
ref
subst
1993
remove
assume
2132
def
eqMp
appThm
2108
ref
refl
appThm
nil
139
ref
2108
ref
nil
cons
2133
def
cons
nil
cons
nil
cons
cons
840
ref
subst
trans
appThm
2100
ref
appThm
sym
nil
110
ref
2133
ref
cons
2079
ref
cons
nil
cons
cons
2134
def
126
ref
subst
2134
remove
194
ref
subst
29
ref
36
ref
56
ref
240
ref
appTerm
2135
def
appTerm
1000
ref
227
ref
279
ref
243
ref
appTerm
absTerm
appTerm
appTerm
absTerm
2136
def
41
ref
appTerm
2137
def
betaConv
nil
99
ref
2136
ref
appTerm
2138
def
axiom
2139
def
nil
110
ref
2138
remove
nil
cons
cons
2140
def
111
ref
2137
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
175
ref
subst
proveHyp
207
ref
208
ref
2136
ref
nil
cons
cons
2141
def
213
ref
cons
nil
cons
cons
205
ref
subst
eqMp
eqMp
nil
110
ref
36
ref
2108
ref
appTerm
1000
ref
227
ref
739
ref
243
ref
appTerm
2142
def
absTerm
2143
def
appTerm
2144
def
appTerm
nil
cons
cons
2079
ref
cons
nil
cons
cons
175
ref
subst
proveHyp
226
ref
155
ref
217
ref
2108
remove
assume
appThm
1234
ref
appThm
1426
ref
trans
appThm
2144
ref
refl
appThm
nil
139
ref
2144
ref
nil
cons
cons
nil
cons
nil
cons
cons
139
ref
36
ref
36
ref
131
ref
appTerm
142
ref
appTerm
appTerm
142
ref
appTerm
absTerm
2145
def
142
ref
appTerm
2146
def
betaConv
nil
343
ref
2145
ref
appTerm
2147
def
axiom
nil
110
ref
2147
remove
nil
cons
cons
111
ref
2146
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
175
ref
subst
proveHyp
345
ref
346
ref
2145
remove
nil
cons
cons
358
ref
cons
nil
cons
cons
205
ref
subst
eqMp
eqMp
2148
def
subst
trans
appThm
2100
remove
appThm
sym
nil
262
ref
227
ref
71
ref
2143
ref
233
ref
appTerm
2149
def
appTerm
2070
ref
appTerm
2150
def
absTerm
nil
cons
cons
nil
cons
nil
cons
cons
663
ref
subst
227
ref
nil
139
ref
2150
remove
nil
cons
cons
nil
cons
nil
cons
cons
146
ref
subst
nil
110
ref
2149
ref
nil
cons
2151
def
cons
2079
ref
cons
nil
cons
cons
2152
def
126
ref
subst
2152
remove
194
ref
subst
2149
ref
betaConv
2149
remove
assume
eqMp
nil
110
ref
2142
ref
nil
cons
2153
def
cons
2079
remove
cons
nil
cons
cons
2154
def
175
ref
subst
proveHyp
2154
ref
126
ref
subst
2154
remove
194
ref
subst
2069
ref
233
ref
appTerm
betaConv
sym
266
ref
nil
139
ref
244
ref
nil
cons
2155
def
cons
nil
cons
nil
cons
cons
146
ref
subst
36
ref
"_31846"
2
ref
var
2156
def
241
ref
2156
remove
varTerm
appTerm
absTerm
2157
def
41
ref
appTerm
appTerm
refl
1995
remove
appThm
155
ref
2105
remove
appThm
244
ref
refl
appThm
trans
2157
remove
refl
2142
remove
assume
appThm
eqMp
2132
remove
eqMp
eqMp
trans
sym
145
ref
eqMp
eqMp
261
ref
262
ref
2069
ref
nil
cons
cons
2158
def
265
ref
cons
nil
cons
cons
724
ref
subst
proveHyp
eqMp
nil
151
ref
2153
remove
cons
153
ref
2077
remove
cons
nil
cons
2159
def
cons
nil
cons
cons
167
ref
subst
deductAntisym
eqMp
eqMp
eqMp
nil
151
ref
2151
remove
cons
2159
ref
cons
nil
cons
cons
167
ref
subst
deductAntisym
eqMp
eqMp
absThm
eqMp
nil
110
ref
68
ref
263
ref
71
ref
2143
ref
627
ref
appTerm
appTerm
2070
ref
appTerm
absTerm
appTerm
nil
cons
cons
111
ref
71
ref
2144
remove
appTerm
2070
ref
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
175
ref
subst
proveHyp
261
ref
262
ref
2143
remove
nil
cons
cons
2159
ref
cons
nil
cons
cons
811
ref
subst
eqMp
eqMp
eqMp
eqMp
nil
151
ref
2133
remove
cons
2159
ref
cons
nil
cons
cons
167
ref
subst
deductAntisym
eqMp
eqMp
eqMp
eqMp
nil
151
ref
2106
remove
cons
2159
ref
cons
nil
cons
cons
167
ref
subst
deductAntisym
eqMp
eqMp
eqMp
nil
151
ref
2103
remove
cons
2159
ref
cons
nil
cons
cons
167
ref
subst
deductAntisym
eqMp
eqMp
absThm
eqMp
nil
110
ref
99
ref
1892
ref
71
ref
1994
remove
1893
ref
appTerm
appTerm
2070
ref
appTerm
absTerm
appTerm
nil
cons
cons
111
ref
71
ref
2007
remove
appTerm
2070
ref
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
175
ref
subst
proveHyp
207
ref
2006
remove
2159
ref
cons
nil
cons
cons
811
ref
subst
eqMp
eqMp
eqMp
eqMp
nil
151
ref
1991
remove
cons
2159
remove
cons
nil
cons
cons
167
ref
subst
deductAntisym
eqMp
2160
def
eqMp
absThm
eqMp
eqMp
absThm
eqMp
nil
99
ref
2074
remove
appTerm
thm
624
ref
29
ref
624
ref
26
ref
1118
ref
refl
2161
def
997
ref
542
ref
538
ref
625
ref
appThm
2162
def
998
ref
appThm
547
ref
refl
2163
def
appThm
2164
def
absThm
appThm
appThm
absThm
appThm
absThm
appThm
sym
nil
68
ref
263
ref
68
ref
1001
ref
1000
ref
"z"
11
ref
var
2165
def
536
ref
627
ref
appTerm
2166
def
1002
ref
appTerm
2167
def
2165
ref
varTerm
2168
def
appTerm
2169
def
absTerm
appTerm
absTerm
appTerm
absTerm
appTerm
axiom
nil
110
ref
68
ref
69
ref
68
ref
70
ref
1000
ref
552
ref
536
ref
76
ref
appTerm
2170
def
81
ref
appTerm
556
ref
appTerm
2171
def
absTerm
appTerm
absTerm
appTerm
absTerm
appTerm
nil
cons
cons
111
ref
99
ref
29
ref
99
ref
26
ref
1118
ref
725
ref
542
ref
537
remove
39
ref
appTerm
41
ref
appTerm
547
ref
appTerm
absTerm
appTerm
appTerm
absTerm
appTerm
absTerm
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
175
ref
subst
proveHyp
541
ref
nil
110
ref
68
ref
69
ref
68
ref
70
ref
1000
ref
552
ref
562
ref
absTerm
appTerm
absTerm
appTerm
absTerm
2172
def
appTerm
2173
def
nil
cons
2174
def
cons
2175
def
111
ref
99
ref
29
ref
99
ref
26
ref
1118
ref
725
ref
542
ref
548
ref
absTerm
appTerm
2176
def
appTerm
2177
def
absTerm
2178
def
appTerm
2179
def
absTerm
2180
def
appTerm
2181
def
nil
cons
2182
def
cons
nil
cons
cons
nil
cons
cons
2183
def
126
ref
subst
2183
remove
194
ref
subst
nil
208
ref
2180
remove
nil
cons
cons
nil
cons
nil
cons
cons
643
ref
subst
29
ref
nil
139
ref
2179
remove
nil
cons
cons
nil
cons
nil
cons
cons
146
ref
subst
nil
208
ref
2178
remove
nil
cons
cons
nil
cons
nil
cons
cons
643
ref
subst
26
ref
nil
139
ref
2177
remove
nil
cons
cons
nil
cons
nil
cons
cons
146
ref
subst
nil
110
ref
450
ref
nil
cons
2184
def
cons
2185
def
111
ref
2176
ref
nil
cons
2186
def
cons
nil
cons
2187
def
cons
nil
cons
cons
2188
def
126
ref
subst
2188
remove
194
ref
subst
48
ref
59
ref
62
ref
appTerm
2189
def
absTerm
2190
def
60
ref
appTerm
betaConv
sym
216
ref
217
ref
450
remove
assume
2191
def
appThm
60
ref
refl
2192
def
appThm
nil
1131
ref
nil
cons
cons
489
ref
subst
2193
def
trans
appThm
2194
def
2193
ref
appThm
528
ref
trans
sym
145
ref
eqMp
eqMp
256
ref
257
ref
2190
ref
nil
cons
2195
def
cons
2196
def
1131
remove
cons
nil
cons
cons
724
ref
subst
proveHyp
2197
def
nil
110
ref
47
ref
2190
ref
appTerm
2198
def
nil
cons
2199
def
cons
2200
def
2187
ref
cons
nil
cons
cons
175
ref
subst
155
ref
226
ref
215
ref
48
ref
2190
ref
57
ref
appTerm
2201
def
betaConv
2202
def
absThm
appThm
appThm
2203
def
2176
ref
refl
2204
def
appThm
appThm
224
ref
48
ref
226
ref
2202
ref
appThm
2205
def
2204
ref
appThm
absThm
appThm
appThm
nil
1024
ref
2195
remove
cons
2206
def
2187
remove
cons
nil
cons
cons
1037
ref
subst
eqMp
sym
nil
257
ref
48
ref
71
ref
2189
ref
appTerm
2207
def
2176
ref
appTerm
2208
def
absTerm
nil
cons
cons
nil
cons
nil
cons
cons
662
ref
subst
48
ref
nil
139
ref
2208
ref
nil
cons
cons
nil
cons
nil
cons
cons
146
ref
subst
26
ref
2208
remove
absTerm
2209
def
41
ref
appTerm
2210
def
betaConv
29
ref
99
ref
2209
ref
appTerm
2211
def
absTerm
2212
def
39
ref
appTerm
2213
def
betaConv
48
ref
99
ref
2212
ref
appTerm
2214
def
absTerm
2215
def
57
ref
appTerm
2216
def
betaConv
2217
def
nil
208
ref
29
ref
99
ref
26
ref
71
ref
49
ref
1045
ref
appTerm
2218
def
61
ref
220
ref
appTerm
2219
def
appTerm
appTerm
2220
def
2176
ref
appTerm
2221
def
absTerm
2222
def
appTerm
2223
def
absTerm
2224
def
nil
cons
cons
nil
cons
nil
cons
cons
643
ref
subst
29
ref
nil
139
ref
2223
remove
nil
cons
cons
nil
cons
nil
cons
cons
146
ref
subst
nil
208
ref
2222
remove
nil
cons
cons
nil
cons
nil
cons
cons
643
ref
subst
26
ref
nil
139
ref
2221
remove
nil
cons
cons
nil
cons
nil
cons
cons
146
ref
subst
nil
1340
ref
2186
ref
cons
2225
def
111
ref
2219
ref
nil
cons
cons
110
ref
1045
remove
nil
cons
cons
nil
cons
cons
cons
nil
cons
cons
1340
ref
36
ref
71
ref
117
remove
appTerm
1341
ref
appTerm
2226
def
appTerm
113
ref
1347
ref
appTerm
2227
def
appTerm
2228
def
absTerm
2229
def
1341
ref
appTerm
2230
def
betaConv
111
ref
343
ref
2229
ref
appTerm
2231
def
absTerm
2232
def
114
ref
appTerm
2233
def
betaConv
110
ref
343
ref
2232
ref
appTerm
2234
def
absTerm
2235
def
112
ref
appTerm
2236
def
betaConv
343
ref
refl
2237
def
110
ref
2237
ref
111
ref
2237
ref
1340
ref
2228
remove
assume
sym
36
ref
2227
remove
appTerm
2226
remove
appTerm
2238
def
assume
sym
deductAntisym
absThm
appThm
absThm
appThm
absThm
appThm
nil
343
ref
110
ref
343
ref
111
ref
343
ref
1340
ref
2238
remove
absTerm
2239
def
appTerm
2240
def
absTerm
2241
def
appTerm
2242
def
absTerm
2243
def
appTerm
2244
def
axiom
2245
def
eqMp
nil
110
ref
343
ref
2235
ref
appTerm
nil
cons
cons
111
ref
2236
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
175
ref
subst
proveHyp
345
ref
346
ref
2235
remove
nil
cons
cons
347
ref
140
remove
cons
nil
cons
2246
def
cons
nil
cons
cons
205
ref
subst
eqMp
eqMp
nil
110
ref
2234
remove
nil
cons
cons
111
ref
2233
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
175
ref
subst
proveHyp
345
ref
346
ref
2232
remove
nil
cons
cons
1036
ref
cons
nil
cons
cons
205
ref
subst
eqMp
eqMp
nil
110
ref
2231
remove
nil
cons
cons
111
ref
2230
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
175
ref
subst
proveHyp
345
ref
346
ref
2229
remove
nil
cons
cons
347
ref
1341
ref
nil
cons
2247
def
cons
nil
cons
2248
def
cons
nil
cons
cons
205
ref
subst
eqMp
eqMp
2249
def
subst
1052
remove
226
ref
1677
ref
1051
ref
subst
2250
def
appThm
2204
ref
appThm
appThm
trans
sym
nil
1054
remove
111
ref
71
ref
739
ref
20
ref
appTerm
2251
def
appTerm
2252
def
2176
ref
appTerm
nil
cons
2253
def
cons
nil
cons
cons
nil
cons
cons
2254
def
126
ref
subst
2254
remove
194
ref
subst
36
ref
"_32078"
2
ref
var
2255
def
2252
ref
725
ref
542
ref
545
ref
2255
remove
varTerm
appTerm
41
ref
appTerm
547
ref
appTerm
absTerm
appTerm
appTerm
absTerm
2256
def
39
ref
appTerm
2257
def
appTerm
refl
2256
ref
20
ref
appTerm
betaConv
appThm
155
ref
2257
remove
betaConv
appThm
2252
remove
725
ref
542
ref
1960
ref
41
ref
appTerm
2258
def
547
ref
appTerm
2259
def
absTerm
appTerm
2260
def
appTerm
refl
appThm
trans
2256
remove
refl
1063
ref
appThm
eqMp
sym
nil
110
ref
2251
ref
nil
cons
2261
def
cons
2262
def
111
ref
2260
remove
nil
cons
2263
def
cons
nil
cons
cons
nil
cons
cons
2264
def
126
ref
subst
2264
remove
194
ref
subst
36
ref
"_32082"
2
ref
var
2265
def
725
ref
542
ref
1960
ref
2265
remove
varTerm
appTerm
547
ref
appTerm
absTerm
appTerm
absTerm
2266
def
41
ref
appTerm
2267
def
appTerm
refl
2266
ref
20
ref
appTerm
betaConv
appThm
155
ref
2267
remove
betaConv
appThm
725
ref
542
ref
1961
remove
547
ref
appTerm
absTerm
2268
def
appTerm
refl
appThm
trans
2266
remove
refl
2251
ref
assume
2269
def
appThm
eqMp
sym
2268
ref
20
ref
appTerm
betaConv
sym
602
ref
eqMp
207
ref
208
ref
2268
remove
nil
cons
cons
31
remove
cons
nil
cons
cons
724
ref
subst
proveHyp
eqMp
eqMp
nil
151
ref
2261
ref
cons
2270
def
153
ref
2263
remove
cons
nil
cons
cons
nil
cons
cons
167
ref
subst
deductAntisym
eqMp
eqMp
eqMp
nil
1064
ref
153
ref
2253
remove
cons
nil
cons
cons
nil
cons
cons
167
ref
subst
deductAntisym
eqMp
eqMp
eqMp
absThm
eqMp
eqMp
absThm
eqMp
nil
110
ref
99
ref
2224
remove
appTerm
2271
def
nil
cons
cons
111
ref
65
ref
48
ref
71
ref
2214
ref
appTerm
99
ref
29
ref
99
ref
26
ref
71
ref
49
ref
1067
ref
appTerm
2272
def
61
ref
309
ref
appTerm
2273
def
appTerm
appTerm
2274
def
2176
ref
appTerm
2275
def
absTerm
2276
def
appTerm
2277
def
absTerm
2278
def
appTerm
2279
def
appTerm
2280
def
absTerm
2281
def
appTerm
2282
def
nil
cons
cons
nil
cons
cons
nil
cons
cons
194
ref
subst
proveHyp
nil
257
ref
2281
remove
nil
cons
cons
nil
cons
nil
cons
cons
662
ref
subst
48
ref
nil
139
ref
2280
remove
nil
cons
cons
nil
cons
nil
cons
cons
146
ref
subst
nil
110
ref
2214
remove
nil
cons
2283
def
cons
2284
def
111
ref
2279
remove
nil
cons
2285
def
cons
nil
cons
cons
nil
cons
cons
2286
def
126
ref
subst
2286
remove
194
ref
subst
nil
208
ref
2278
remove
nil
cons
cons
nil
cons
nil
cons
cons
643
ref
subst
29
ref
nil
139
ref
2277
remove
nil
cons
cons
nil
cons
nil
cons
cons
146
ref
subst
nil
208
ref
2276
remove
nil
cons
cons
nil
cons
nil
cons
cons
643
ref
subst
26
ref
nil
139
ref
2275
remove
nil
cons
cons
nil
cons
nil
cons
cons
146
ref
subst
nil
2225
remove
111
ref
2273
ref
nil
cons
2287
def
cons
110
ref
1067
remove
nil
cons
cons
nil
cons
2288
def
cons
2289
def
cons
nil
cons
cons
2249
ref
subst
1095
ref
226
ref
1677
remove
1094
ref
subst
appThm
2290
def
2204
remove
appThm
appThm
trans
sym
nil
262
ref
"xh"
11
ref
var
2291
def
71
ref
1086
remove
2291
ref
varTerm
2292
def
appTerm
2293
def
appTerm
2294
def
71
ref
1000
ref
227
ref
725
ref
1111
ref
49
ref
739
ref
1079
remove
1113
ref
appTerm
appTerm
appTerm
2295
def
52
ref
54
ref
1113
ref
appTerm
appTerm
2296
def
57
ref
appTerm
2297
def
appTerm
absTerm
appTerm
absTerm
2298
def
appTerm
appTerm
2299
def
2176
remove
appTerm
2300
def
appTerm
2301
def
absTerm
nil
cons
cons
nil
cons
nil
cons
cons
663
ref
subst
2291
ref
nil
139
ref
2301
remove
nil
cons
cons
nil
cons
nil
cons
cons
146
ref
subst
nil
110
ref
2293
ref
nil
cons
2302
def
cons
2303
def
111
ref
2300
ref
nil
cons
2304
def
cons
nil
cons
2305
def
cons
nil
cons
cons
2306
def
126
ref
subst
2306
remove
194
ref
subst
2293
ref
betaConv
2293
remove
assume
eqMp
2307
def
nil
110
ref
725
ref
26
ref
49
ref
279
ref
1078
ref
242
ref
2292
ref
appTerm
2308
def
appTerm
2309
def
41
ref
appTerm
appTerm
appTerm
62
ref
appTerm
absTerm
2310
def
appTerm
2311
def
nil
cons
cons
2312
def
2305
ref
cons
nil
cons
cons
175
ref
subst
proveHyp
nil
208
ref
"xt"
2
ref
var
2313
def
71
ref
2310
ref
2313
ref
varTerm
2314
def
appTerm
2315
def
appTerm
2316
def
2300
ref
appTerm
2317
def
absTerm
nil
cons
cons
nil
cons
nil
cons
cons
643
ref
subst
2313
ref
nil
139
ref
2317
remove
nil
cons
cons
nil
cons
nil
cons
cons
146
ref
subst
nil
110
ref
2315
ref
nil
cons
2318
def
cons
2319
def
2305
ref
cons
nil
cons
cons
2320
def
126
ref
subst
2320
remove
194
ref
subst
2315
ref
betaConv
2315
remove
assume
eqMp
2321
def
nil
110
ref
49
ref
279
ref
2309
remove
2314
ref
appTerm
2322
def
appTerm
2323
def
appTerm
52
ref
54
ref
2314
ref
appTerm
2324
def
appTerm
2325
def
57
ref
appTerm
2326
def
appTerm
nil
cons
2327
def
cons
2328
def
2305
remove
cons
nil
cons
cons
2329
def
175
ref
subst
proveHyp
2329
ref
126
ref
subst
2329
remove
194
ref
subst
nil
151
ref
2323
ref
nil
cons
cons
153
ref
2326
ref
nil
cons
2330
def
cons
nil
cons
cons
nil
cons
cons
2331
def
167
ref
subst
2332
def
2331
remove
334
ref
subst
2333
def
36
ref
"_32086"
2
ref
var
2334
def
2299
ref
725
ref
542
ref
545
ref
2334
remove
varTerm
appTerm
41
ref
appTerm
547
ref
appTerm
absTerm
appTerm
appTerm
absTerm
2335
def
39
ref
appTerm
2336
def
appTerm
refl
2335
ref
2322
ref
appTerm
betaConv
appThm
155
ref
2336
remove
betaConv
appThm
2299
ref
725
ref
542
ref
545
ref
2322
ref
appTerm
2337
def
41
ref
appTerm
2338
def
547
ref
appTerm
2339
def
absTerm
appTerm
2340
def
appTerm
2341
def
refl
appThm
trans
2335
remove
refl
2323
remove
assume
2342
def
appThm
eqMp
sym
nil
262
ref
"yh"
11
ref
var
2343
def
71
ref
2298
ref
2343
ref
varTerm
2344
def
appTerm
2345
def
appTerm
2346
def
2340
ref
appTerm
2347
def
absTerm
nil
cons
cons
nil
cons
nil
cons
cons
663
ref
subst
2343
ref
nil
139
ref
2347
remove
nil
cons
cons
nil
cons
nil
cons
cons
146
ref
subst
nil
110
ref
2345
ref
nil
cons
2348
def
cons
2349
def
111
ref
2340
ref
nil
cons
2350
def
cons
nil
cons
2351
def
cons
nil
cons
cons
2352
def
126
ref
subst
2352
remove
194
ref
subst
2345
ref
betaConv
2345
remove
assume
eqMp
2353
def
nil
110
ref
725
ref
1111
ref
49
ref
739
ref
1078
ref
242
ref
2344
ref
appTerm
2354
def
appTerm
2355
def
1113
ref
appTerm
appTerm
appTerm
2356
def
2297
remove
appTerm
absTerm
2357
def
appTerm
2358
def
nil
cons
cons
2359
def
2351
ref
cons
nil
cons
cons
175
ref
subst
proveHyp
nil
208
ref
"yt"
2
ref
var
2360
def
71
ref
2357
ref
2360
ref
varTerm
2361
def
appTerm
2362
def
appTerm
2363
def
2340
ref
appTerm
2364
def
absTerm
nil
cons
cons
nil
cons
nil
cons
cons
643
ref
subst
2360
ref
nil
139
ref
2364
remove
nil
cons
cons
nil
cons
nil
cons
cons
146
ref
subst
nil
110
ref
2362
ref
nil
cons
2365
def
cons
2366
def
2351
ref
cons
nil
cons
cons
2367
def
126
ref
subst
2367
remove
194
ref
subst
2362
ref
betaConv
2362
remove
assume
eqMp
2368
def
nil
110
ref
49
ref
739
remove
2355
remove
2361
ref
appTerm
2369
def
appTerm
2370
def
appTerm
2371
def
52
ref
54
ref
2361
ref
appTerm
2372
def
appTerm
2373
def
57
ref
appTerm
2374
def
appTerm
nil
cons
2375
def
cons
2376
def
2351
remove
cons
nil
cons
cons
2377
def
175
ref
subst
proveHyp
2377
ref
126
ref
subst
2377
remove
194
ref
subst
nil
151
ref
2370
ref
nil
cons
cons
2378
def
153
ref
2374
ref
nil
cons
2379
def
cons
nil
cons
2380
def
cons
nil
cons
cons
2381
def
167
ref
subst
2382
def
2381
remove
334
ref
subst
2383
def
36
ref
"_32092"
2
ref
var
2384
def
725
ref
542
ref
2337
ref
2384
remove
varTerm
appTerm
547
ref
appTerm
absTerm
appTerm
absTerm
2385
def
41
ref
appTerm
2386
def
appTerm
refl
2385
ref
2369
ref
appTerm
betaConv
appThm
155
ref
2386
remove
betaConv
appThm
725
ref
542
ref
2337
ref
2369
ref
appTerm
2387
def
547
ref
appTerm
2388
def
absTerm
2389
def
appTerm
2390
def
refl
2391
def
appThm
trans
2385
remove
refl
2370
remove
assume
2392
def
appThm
eqMp
sym
26
ref
71
ref
49
ref
2326
ref
appTerm
2393
def
62
ref
appTerm
appTerm
2394
def
725
ref
542
ref
545
ref
2314
ref
appTerm
2395
def
41
ref
appTerm
2396
def
547
ref
appTerm
2397
def
absTerm
appTerm
appTerm
absTerm
2398
def
2361
ref
appTerm
2399
def
betaConv
2212
ref
2314
ref
appTerm
2400
def
betaConv
nil
2284
ref
111
ref
2400
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
175
ref
subst
207
ref
208
ref
2212
remove
nil
cons
cons
2401
def
29
ref
2314
ref
nil
cons
2402
def
cons
2403
def
nil
cons
2404
def
cons
nil
cons
cons
205
ref
subst
eqMp
eqMp
nil
110
ref
99
ref
2398
ref
appTerm
nil
cons
cons
111
ref
2399
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
175
ref
subst
proveHyp
207
ref
208
ref
2398
remove
nil
cons
cons
29
ref
2361
ref
nil
cons
2405
def
cons
2406
def
nil
cons
2407
def
cons
nil
cons
cons
205
ref
subst
eqMp
eqMp
nil
110
ref
71
ref
2393
ref
2374
ref
appTerm
2408
def
appTerm
2409
def
725
ref
542
ref
2395
ref
2361
ref
appTerm
2410
def
547
ref
appTerm
absTerm
2411
def
appTerm
2412
def
appTerm
nil
cons
cons
111
ref
2390
ref
nil
cons
2413
def
cons
nil
cons
2414
def
cons
nil
cons
cons
175
ref
subst
proveHyp
226
ref
226
ref
216
ref
217
ref
2326
remove
assume
2415
def
appThm
222
ref
appThm
nil
293
ref
nil
cons
cons
489
ref
subst
2416
def
trans
2417
def
appThm
2418
def
217
ref
2374
ref
assume
2419
def
appThm
222
ref
appThm
2416
ref
trans
2420
def
appThm
528
ref
trans
2421
def
appThm
2422
def
2412
ref
refl
appThm
nil
139
ref
2412
ref
nil
cons
cons
nil
cons
nil
cons
cons
840
ref
subst
trans
appThm
2391
remove
appThm
sym
nil
208
ref
"zt"
2
ref
var
2423
def
71
ref
2411
ref
2423
ref
varTerm
2424
def
appTerm
2425
def
appTerm
2390
ref
appTerm
2426
def
absTerm
nil
cons
cons
nil
cons
nil
cons
cons
643
ref
subst
2423
ref
nil
139
ref
2426
remove
nil
cons
cons
nil
cons
nil
cons
cons
146
ref
subst
nil
110
ref
2425
ref
nil
cons
2427
def
cons
2414
ref
cons
nil
cons
cons
2428
def
126
ref
subst
2428
remove
194
ref
subst
2425
ref
betaConv
2425
remove
assume
eqMp
nil
110
ref
2410
remove
2424
ref
appTerm
2429
def
nil
cons
2430
def
cons
2414
ref
cons
nil
cons
cons
2431
def
175
ref
subst
proveHyp
2431
ref
126
ref
subst
2431
remove
194
ref
subst
70
ref
1000
ref
552
ref
544
ref
2292
ref
appTerm
2432
def
81
ref
appTerm
556
ref
appTerm
absTerm
appTerm
absTerm
2433
def
2344
ref
appTerm
2434
def
betaConv
2172
ref
2292
ref
appTerm
2435
def
betaConv
nil
2175
remove
111
ref
2435
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
175
ref
subst
261
ref
262
ref
2172
remove
nil
cons
cons
263
ref
2292
ref
nil
cons
2436
def
cons
2437
def
nil
cons
2438
def
cons
nil
cons
cons
205
ref
subst
eqMp
eqMp
nil
110
ref
68
ref
2433
ref
appTerm
nil
cons
cons
111
ref
2434
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
175
ref
subst
proveHyp
261
ref
262
ref
2433
remove
nil
cons
cons
263
ref
2344
ref
nil
cons
2439
def
cons
2440
def
nil
cons
2441
def
cons
nil
cons
cons
205
ref
subst
eqMp
eqMp
nil
110
ref
1000
ref
552
ref
2432
ref
2344
ref
appTerm
2442
def
556
ref
appTerm
absTerm
2443
def
appTerm
2444
def
nil
cons
cons
2414
ref
cons
nil
cons
cons
175
ref
subst
proveHyp
nil
262
ref
"zh"
11
ref
var
2445
def
71
ref
2443
ref
2445
ref
varTerm
2446
def
appTerm
2447
def
appTerm
2390
ref
appTerm
2448
def
absTerm
nil
cons
cons
nil
cons
nil
cons
cons
663
ref
subst
2445
ref
nil
139
ref
2448
remove
nil
cons
cons
nil
cons
nil
cons
cons
146
ref
subst
nil
110
ref
2447
ref
nil
cons
2449
def
cons
2414
ref
cons
nil
cons
cons
2450
def
126
ref
subst
2450
remove
194
ref
subst
2447
ref
betaConv
2447
remove
assume
eqMp
nil
110
ref
2442
remove
2446
ref
appTerm
2451
def
nil
cons
2452
def
cons
2453
def
2414
remove
cons
nil
cons
cons
2454
def
175
ref
subst
proveHyp
2454
ref
126
ref
subst
2454
remove
194
ref
subst
2389
ref
1078
ref
242
ref
2446
ref
appTerm
2455
def
appTerm
2456
def
2424
ref
appTerm
2457
def
appTerm
betaConv
sym
216
ref
nil
1001
ref
2446
ref
nil
cons
2458
def
cons
2459
def
2440
ref
227
ref
2436
ref
cons
2460
def
nil
cons
2461
def
cons
cons
nil
cons
cons
155
ref
nil
542
ref
1963
ref
nil
cons
2462
def
cons
1155
remove
cons
nil
cons
cons
596
ref
subst
215
ref
48
ref
1164
remove
1169
remove
216
ref
217
ref
nil
227
ref
1970
ref
cons
nil
cons
2463
def
nil
cons
cons
1162
ref
subst
appThm
222
ref
appThm
appThm
224
ref
66
ref
225
ref
69
ref
225
ref
70
ref
225
ref
552
ref
226
ref
1352
remove
216
ref
1353
remove
appThm
nil
1170
ref
597
ref
cons
2463
remove
cons
nil
cons
cons
1351
ref
subst
appThm
appThm
appThm
599
ref
appThm
absThm
appThm
absThm
appThm
absThm
appThm
absThm
appThm
appThm
appThm
appThm
absThm
appThm
trans
appThm
544
ref
233
ref
appTerm
2464
def
627
ref
appTerm
1002
ref
appTerm
2465
def
refl
appThm
sym
nil
110
ref
47
ref
48
ref
1355
ref
1355
ref
1355
remove
65
ref
66
ref
68
ref
69
ref
68
ref
70
ref
68
ref
552
ref
71
ref
1358
remove
49
ref
1360
remove
appTerm
296
ref
467
ref
556
ref
appTerm
1002
ref
appTerm
2466
def
appTerm
2467
def
appTerm
2468
def
appTerm
2469
def
appTerm
562
ref
appTerm
2470
def
absTerm
2471
def
appTerm
2472
def
absTerm
2473
def
appTerm
2474
def
absTerm
2475
def
appTerm
2476
def
absTerm
2477
def
appTerm
2478
def
appTerm
2479
def
appTerm
2480
def
appTerm
2481
def
absTerm
2482
def
appTerm
2483
def
nil
cons
2484
def
cons
111
ref
2465
ref
nil
cons
2485
def
cons
nil
cons
2486
def
cons
nil
cons
cons
335
ref
subst
nil
257
ref
48
ref
71
ref
2482
ref
57
ref
appTerm
2487
def
appTerm
2465
ref
appTerm
2488
def
absTerm
nil
cons
cons
nil
cons
nil
cons
cons
662
ref
subst
48
ref
nil
139
ref
2488
remove
nil
cons
cons
nil
cons
nil
cons
cons
146
ref
subst
nil
110
ref
2487
ref
nil
cons
2489
def
cons
2486
ref
cons
nil
cons
cons
2490
def
126
ref
subst
2490
remove
194
ref
subst
2487
ref
betaConv
2487
remove
assume
eqMp
nil
110
ref
2481
remove
nil
cons
2491
def
cons
2486
ref
cons
nil
cons
cons
2492
def
175
ref
subst
proveHyp
2492
ref
126
ref
subst
2492
remove
194
ref
subst
nil
1381
ref
153
ref
2480
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
334
ref
subst
nil
1381
ref
153
ref
2479
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
334
ref
subst
nil
1381
remove
153
ref
2478
ref
nil
cons
2493
def
cons
nil
cons
cons
nil
cons
cons
334
ref
subst
66
ref
1384
remove
49
ref
1385
remove
appTerm
296
remove
467
ref
1002
ref
appTerm
1002
ref
appTerm
appTerm
appTerm
appTerm
absTerm
2494
def
220
ref
appTerm
betaConv
sym
1390
remove
216
ref
1391
remove
appThm
1387
remove
nil
1971
ref
nil
cons
2495
def
nil
cons
cons
1388
ref
subst
appThm
528
ref
trans
appThm
528
ref
trans
appThm
528
ref
trans
sym
145
ref
eqMp
eqMp
256
ref
257
ref
2494
ref
nil
cons
cons
1331
ref
cons
nil
cons
cons
724
ref
subst
proveHyp
nil
110
ref
47
ref
2494
remove
appTerm
nil
cons
cons
2486
remove
cons
nil
cons
cons
175
ref
subst
proveHyp
nil
552
ref
1970
remove
cons
1393
remove
cons
nil
cons
cons
nil
110
ref
47
ref
66
ref
2469
ref
absTerm
2496
def
appTerm
2497
def
nil
cons
2498
def
cons
2499
def
111
ref
600
ref
cons
nil
cons
2500
def
cons
nil
cons
cons
2501
def
126
ref
subst
2501
remove
194
ref
subst
nil
110
ref
2493
ref
cons
2502
def
2500
ref
cons
nil
cons
cons
2503
def
175
ref
subst
nil
2499
remove
111
ref
71
ref
2478
ref
appTerm
562
ref
appTerm
2504
def
nil
cons
2505
def
cons
nil
cons
2506
def
cons
nil
cons
cons
175
ref
subst
nil
257
ref
66
ref
71
ref
2496
ref
74
ref
appTerm
2507
def
appTerm
2504
ref
appTerm
2508
def
absTerm
nil
cons
cons
nil
cons
nil
cons
cons
662
ref
subst
66
ref
nil
139
ref
2508
remove
nil
cons
cons
nil
cons
nil
cons
cons
146
ref
subst
nil
110
ref
2507
ref
nil
cons
2509
def
cons
2506
ref
cons
nil
cons
cons
2510
def
126
ref
subst
2510
remove
194
ref
subst
2507
ref
betaConv
2507
remove
assume
eqMp
nil
110
ref
2469
remove
nil
cons
2511
def
cons
2512
def
2506
remove
cons
nil
cons
cons
2513
def
175
ref
subst
proveHyp
2513
ref
126
ref
subst
2513
remove
194
ref
subst
2503
ref
126
ref
subst
2503
remove
194
ref
subst
nil
2512
remove
2500
ref
cons
nil
cons
cons
2514
def
175
ref
subst
2471
ref
556
ref
appTerm
2515
def
betaConv
2473
ref
81
ref
appTerm
2516
def
betaConv
2475
ref
76
ref
appTerm
2517
def
betaConv
2477
ref
74
ref
appTerm
2518
def
betaConv
nil
2502
remove
111
ref
2518
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
175
ref
subst
256
ref
257
ref
2477
remove
nil
cons
cons
2519
def
260
ref
cons
nil
cons
cons
205
ref
subst
eqMp
eqMp
nil
110
ref
2476
remove
nil
cons
2520
def
cons
111
ref
2517
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
175
ref
subst
proveHyp
261
ref
262
ref
2475
remove
nil
cons
cons
2521
def
824
ref
cons
nil
cons
cons
205
ref
subst
eqMp
eqMp
nil
110
ref
2474
remove
nil
cons
2522
def
cons
111
ref
2516
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
175
ref
subst
proveHyp
261
ref
262
ref
2473
remove
nil
cons
cons
2523
def
828
ref
cons
nil
cons
cons
205
ref
subst
eqMp
eqMp
nil
110
ref
2472
remove
nil
cons
2524
def
cons
111
ref
2515
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
175
ref
subst
proveHyp
261
ref
262
ref
2471
remove
nil
cons
cons
2525
def
263
ref
597
ref
cons
nil
cons
2526
def
cons
nil
cons
cons
205
ref
subst
eqMp
eqMp
eqMp
eqMp
nil
151
ref
2493
ref
cons
153
ref
600
ref
cons
nil
cons
2527
def
cons
nil
cons
cons
167
ref
subst
deductAntisym
eqMp
eqMp
nil
151
ref
2511
remove
cons
2528
def
153
ref
2505
remove
cons
nil
cons
2529
def
cons
nil
cons
cons
167
ref
subst
deductAntisym
eqMp
eqMp
eqMp
nil
151
ref
2509
remove
cons
2529
ref
cons
nil
cons
cons
167
ref
subst
deductAntisym
eqMp
eqMp
absThm
eqMp
nil
110
ref
65
ref
258
ref
71
ref
2496
ref
797
ref
appTerm
appTerm
2504
ref
appTerm
absTerm
appTerm
nil
cons
cons
111
ref
71
ref
2497
remove
appTerm
2504
remove
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
175
ref
subst
proveHyp
256
ref
257
ref
2496
remove
nil
cons
cons
2529
remove
cons
nil
cons
cons
811
ref
subst
eqMp
eqMp
eqMp
eqMp
nil
151
ref
2498
remove
cons
2527
ref
cons
nil
cons
cons
167
ref
subst
deductAntisym
eqMp
subst
eqMp
proveHyp
proveHyp
proveHyp
eqMp
nil
151
ref
2491
remove
cons
153
ref
2485
ref
cons
nil
cons
2530
def
cons
nil
cons
cons
167
ref
subst
deductAntisym
eqMp
eqMp
eqMp
nil
151
ref
2489
remove
cons
2530
ref
cons
nil
cons
cons
167
ref
subst
deductAntisym
eqMp
eqMp
absThm
eqMp
nil
110
ref
65
ref
258
ref
71
ref
2482
ref
797
ref
appTerm
appTerm
2465
ref
appTerm
absTerm
appTerm
nil
cons
cons
111
ref
71
ref
2483
ref
appTerm
2465
ref
appTerm
nil
cons
2531
def
cons
nil
cons
cons
nil
cons
cons
175
ref
subst
proveHyp
256
ref
257
ref
2482
ref
nil
cons
cons
2532
def
2530
remove
cons
nil
cons
cons
811
ref
subst
eqMp
nil
110
ref
2531
remove
cons
111
ref
71
ref
2465
ref
appTerm
2483
remove
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
194
ref
subst
proveHyp
nil
110
ref
2485
ref
cons
111
ref
2484
ref
cons
nil
cons
cons
nil
cons
cons
2533
def
126
ref
subst
2533
remove
194
ref
subst
2482
remove
240
ref
appTerm
betaConv
sym
1427
ref
1427
ref
1427
remove
2478
remove
refl
appThm
nil
139
ref
2493
remove
cons
nil
cons
nil
cons
cons
527
ref
subst
2534
def
trans
appThm
2534
ref
trans
appThm
2534
remove
trans
sym
nil
2519
remove
nil
cons
nil
cons
cons
662
ref
subst
66
ref
nil
139
ref
2520
remove
cons
nil
cons
nil
cons
cons
146
ref
subst
nil
2521
remove
nil
cons
nil
cons
cons
663
ref
subst
69
ref
nil
139
ref
2522
remove
cons
nil
cons
nil
cons
cons
146
ref
subst
nil
2523
remove
nil
cons
nil
cons
cons
663
ref
subst
70
ref
nil
139
ref
2524
remove
cons
nil
cons
nil
cons
cons
146
ref
subst
nil
2525
remove
nil
cons
nil
cons
cons
663
ref
subst
552
ref
nil
139
ref
2470
remove
nil
cons
cons
nil
cons
nil
cons
cons
146
ref
subst
2514
ref
126
ref
subst
2514
remove
194
ref
subst
nil
1429
remove
153
ref
2468
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
2535
def
167
ref
subst
2535
remove
334
ref
subst
1432
remove
nil
151
ref
1430
remove
cons
153
ref
2467
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
2536
def
167
ref
subst
2536
remove
334
ref
subst
1433
remove
nil
1334
remove
153
ref
2466
ref
nil
cons
cons
nil
cons
cons
nil
cons
cons
334
ref
subst
544
ref
refl
1434
remove
appThm
1435
remove
appThm
2466
remove
assume
appThm
nil
139
ref
2485
ref
cons
nil
cons
nil
cons
cons
146
ref
subst
2465
ref
assume
eqMp
trans
sym
145
ref
eqMp
proveHyp
proveHyp
proveHyp
proveHyp
proveHyp
proveHyp
proveHyp
eqMp
nil
2528
remove
2527
ref
cons
nil
cons
cons
167
ref
subst
deductAntisym
eqMp
eqMp
absThm
eqMp
eqMp
absThm
eqMp
eqMp
absThm
eqMp
eqMp
absThm
eqMp
eqMp
eqMp
256
ref
2532
remove
704
ref
cons
nil
cons
cons
724
ref
subst
proveHyp
eqMp
nil
151
ref
2485
remove
cons
153
ref
2484
remove
cons
nil
cons
cons
nil
cons
cons
167
ref
subst
deductAntisym
eqMp
eqMp
eqMp
eqMp
2537
def
subst
nil
139
ref
2452
ref
cons
nil
cons
nil
cons
cons
146
ref
subst
2451
ref
assume
eqMp
2538
def
trans
appThm
nil
139
ref
2430
ref
cons
nil
cons
nil
cons
cons
2539
def
146
ref
subst
2429
ref
assume
eqMp
2540
def
appThm
528
ref
trans
sym
145
ref
eqMp
nil
110
ref
49
ref
545
ref
2308
ref
appTerm
2354
ref
appTerm
2455
ref
appTerm
appTerm
2429
ref
appTerm
nil
cons
cons
111
ref
2387
ref
2457
ref
appTerm
2541
def
nil
cons
2542
def
cons
nil
cons
cons
nil
cons
cons
175
ref
subst
proveHyp
nil
"z2"
2
ref
var
2543
def
2424
ref
nil
cons
2544
def
cons
2545
def
1440
ref
2405
ref
cons
2546
def
1442
ref
2402
ref
cons
2547
def
"z1"
2
ref
var
2548
def
2455
ref
nil
cons
2549
def
cons
2550
def
1441
ref
2354
ref
nil
cons
2551
def
cons
2552
def
1444
ref
2308
ref
nil
cons
2553
def
cons
2554
def
nil
cons
cons
2555
def
cons
cons
cons
cons
nil
cons
cons
226
ref
216
ref
nil
542
ref
2548
ref
varTerm
2556
def
nil
cons
2557
def
cons
2558
def
1453
remove
cons
nil
cons
cons
596
ref
subst
appThm
nil
542
ref
2543
ref
varTerm
2559
def
nil
cons
2560
def
cons
2561
def
1461
remove
cons
nil
cons
cons
596
ref
subst
appThm
appThm
nil
542
ref
1078
ref
2556
ref
appTerm
2562
def
2559
ref
appTerm
2563
def
nil
cons
cons
2564
def
1468
remove
cons
nil
cons
cons
596
ref
subst
appThm
sym
nil
110
ref
49
ref
47
ref
48
ref
1472
remove
1475
remove
49
ref
52
ref
54
ref
2556
ref
appTerm
2565
def
appTerm
2566
def
57
ref
appTerm
appTerm
65
ref
66
ref
68
ref
69
ref
68
ref
70
ref
68
ref
552
ref
71
ref
1478
ref
49
ref
1481
ref
appTerm
2567
def
72
ref
2556
ref
appTerm
74
ref
appTerm
2568
def
556
ref
appTerm
2569
def
appTerm
appTerm
appTerm
562
ref
appTerm
2570
def
absTerm
2571
def
appTerm
2572
def
absTerm
2573
def
appTerm
2574
def
absTerm
2575
def
appTerm
2576
def
absTerm
2577
def
appTerm
2578
def
appTerm
appTerm
appTerm
absTerm
2579
def
appTerm
2580
def
appTerm
47
ref
48
ref
1493
remove
1496
remove
49
ref
52
ref
54
ref
2559
ref
appTerm
appTerm
2581
def
57
ref
appTerm
appTerm
65
ref
66
ref
68
ref
69
ref
68
ref
70
ref
68
ref
552
ref
71
ref
1498
ref
49
ref
1501
remove
appTerm
72
ref
2559
ref
appTerm
2582
def
74
ref
appTerm
2583
def
556
ref
appTerm
appTerm
appTerm
appTerm
562
ref
appTerm
absTerm
2584
def
appTerm
2585
def
absTerm
2586
def
appTerm
2587
def
absTerm
2588
def
appTerm
2589
def
absTerm
2590
def
appTerm
2591
def
appTerm
appTerm
appTerm
absTerm
2592
def
appTerm
2593
def
appTerm
nil
cons
2594
def
cons
111
ref
47
ref
48
ref
1511
remove
1512
remove
49
ref
52
ref
54
ref
2563
ref
appTerm
appTerm
57
ref
appTerm
appTerm
65
ref
66
ref
68
ref
69
ref
68
ref
70
ref
68
ref
552
ref
71
ref
1516
ref
49
ref
1519
ref
appTerm
72
ref
2563
ref
appTerm
2595
def
74
ref
appTerm
2596
def
556
ref
appTerm
2597
def
appTerm
2598
def
appTerm
appTerm
562
ref
appTerm
2599
def
absTerm
2600
def
appTerm
2601
def
absTerm
2602
def
appTerm
2603
def
absTerm
2604
def
appTerm
2605
def
absTerm
2606
def
appTerm
2607
def
appTerm
appTerm
appTerm
absTerm
2608
def
appTerm
2609
def
nil
cons
2610
def
cons
nil
cons
2611
def
cons
nil
cons
cons
2612
def
126
ref
subst
2612
remove
194
ref
subst
nil
151
ref
2580
ref
nil
cons
2613
def
cons
153
ref
2593
ref
nil
cons
2614
def
cons
nil
cons
cons
nil
cons
cons
2615
def
167
ref
subst
2615
remove
334
ref
subst
nil
110
ref
2613
remove
cons
2611
ref
cons
nil
cons
cons
175
ref
subst
nil
257
ref
1535
ref
71
ref
2579
ref
1536
ref
appTerm
2616
def
appTerm
2609
ref
appTerm
2617
def
absTerm
nil
cons
cons
nil
cons
nil
cons
cons
662
ref
subst
1535
remove
nil
139
ref
2617
remove
nil
cons
cons
nil
cons
nil
cons
cons
146
ref
subst
nil
110
ref
2616
ref
nil
cons
2618
def
cons
2611
ref
cons
nil
cons
cons
2619
def
126
ref
subst
2619
remove
194
ref
subst
2616
ref
betaConv
2616
remove
assume
eqMp
nil
110
ref
1542
remove
1544
remove
49
ref
2566
remove
1536
remove
appTerm
2620
def
appTerm
2578
ref
appTerm
2621
def
appTerm
2622
def
appTerm
nil
cons
2623
def
cons
2611
ref
cons
nil
cons
cons
2624
def
175
ref
subst
proveHyp
2624
ref
126
ref
subst
2624
remove
194
ref
subst
nil
1548
remove
153
ref
2622
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
2625
def
167
ref
subst
2625
remove
334
ref
subst
nil
1550
remove
153
ref
2621
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
2626
def
167
ref
subst
2626
remove
334
ref
subst
nil
151
ref
2620
ref
nil
cons
cons
153
ref
2578
remove
nil
cons
2627
def
cons
nil
cons
cons
nil
cons
cons
2628
def
167
ref
subst
2628
remove
334
ref
subst
nil
110
ref
2614
remove
cons
2611
ref
cons
nil
cons
cons
175
ref
subst
nil
257
ref
1553
ref
71
ref
2592
ref
1554
ref
appTerm
2629
def
appTerm
2609
ref
appTerm
2630
def
absTerm
nil
cons
cons
nil
cons
nil
cons
cons
662
ref
subst
1553
remove
nil
139
ref
2630
remove
nil
cons
cons
nil
cons
nil
cons
cons
146
ref
subst
nil
110
ref
2629
ref
nil
cons
2631
def
cons
2611
ref
cons
nil
cons
cons
2632
def
126
ref
subst
2632
remove
194
ref
subst
2629
ref
betaConv
2629
remove
assume
eqMp
nil
110
ref
1560
remove
1562
remove
49
ref
2581
remove
1554
remove
appTerm
2633
def
appTerm
2591
ref
appTerm
2634
def
appTerm
2635
def
appTerm
nil
cons
2636
def
cons
2611
remove
cons
nil
cons
cons
2637
def
175
ref
subst
proveHyp
2637
ref
126
ref
subst
2637
remove
194
ref
subst
nil
1566
remove
153
ref
2635
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
2638
def
167
ref
subst
2638
remove
334
ref
subst
nil
1568
remove
153
ref
2634
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
2639
def
167
ref
subst
2639
remove
334
ref
subst
nil
151
ref
2633
ref
nil
cons
cons
153
ref
2591
remove
nil
cons
2640
def
cons
nil
cons
cons
nil
cons
cons
2641
def
167
ref
subst
2641
remove
334
ref
subst
2608
ref
1572
remove
appTerm
betaConv
sym
1587
remove
1593
remove
216
ref
217
ref
nil
26
ref
2560
ref
cons
29
ref
2557
remove
cons
nil
cons
2642
def
cons
nil
cons
cons
1580
ref
subst
1288
ref
2620
remove
assume
2643
def
appThm
2644
def
2633
remove
assume
appThm
trans
appThm
1584
remove
appThm
1586
remove
trans
appThm
2607
ref
refl
appThm
nil
139
ref
2607
remove
nil
cons
cons
nil
cons
nil
cons
cons
527
ref
subst
2645
def
trans
appThm
2645
ref
trans
appThm
2645
remove
trans
sym
nil
257
ref
2606
remove
nil
cons
cons
nil
cons
nil
cons
cons
662
ref
subst
66
ref
nil
139
ref
2605
remove
nil
cons
cons
nil
cons
nil
cons
cons
146
ref
subst
nil
262
ref
2604
remove
nil
cons
cons
nil
cons
nil
cons
cons
663
ref
subst
69
ref
nil
139
ref
2603
remove
nil
cons
cons
nil
cons
nil
cons
cons
146
ref
subst
nil
262
ref
2602
remove
nil
cons
cons
nil
cons
nil
cons
cons
663
ref
subst
70
ref
nil
139
ref
2601
remove
nil
cons
cons
nil
cons
nil
cons
cons
146
ref
subst
nil
262
ref
2600
remove
nil
cons
cons
nil
cons
nil
cons
cons
663
ref
subst
552
ref
nil
139
ref
2599
ref
nil
cons
2646
def
cons
nil
cons
nil
cons
cons
146
ref
subst
nil
1601
remove
111
ref
2646
ref
cons
nil
cons
2647
def
cons
nil
cons
cons
2648
def
126
ref
subst
2648
remove
194
ref
subst
1627
remove
nil
1632
remove
2647
ref
cons
nil
cons
cons
175
ref
subst
proveHyp
nil
257
ref
1618
ref
1634
remove
2599
ref
appTerm
2649
def
absTerm
nil
cons
cons
nil
cons
nil
cons
cons
662
ref
subst
1618
ref
nil
139
ref
2649
remove
nil
cons
cons
nil
cons
nil
cons
cons
146
ref
subst
nil
1637
remove
2647
ref
cons
nil
cons
cons
2650
def
126
ref
subst
2650
remove
194
ref
subst
1639
remove
nil
1641
remove
2647
ref
cons
nil
cons
cons
2651
def
175
ref
subst
proveHyp
2651
ref
126
ref
subst
2651
remove
194
ref
subst
36
ref
"_32008"
44
ref
var
2652
def
71
ref
49
ref
1513
ref
2652
remove
varTerm
2653
def
appTerm
76
ref
appTerm
appTerm
49
ref
1517
ref
2653
ref
appTerm
81
ref
appTerm
appTerm
2595
ref
2653
remove
appTerm
556
ref
appTerm
appTerm
appTerm
appTerm
562
ref
appTerm
absTerm
2654
def
74
ref
appTerm
2655
def
appTerm
refl
2654
ref
1628
ref
appTerm
betaConv
appThm
155
ref
2655
remove
betaConv
appThm
71
ref
1648
remove
49
ref
1649
ref
appTerm
2595
ref
1628
remove
appTerm
556
ref
appTerm
2656
def
appTerm
2657
def
appTerm
appTerm
562
ref
appTerm
2658
def
refl
2659
def
appThm
trans
2654
remove
refl
1652
remove
appThm
eqMp
sym
1688
ref
nil
1693
remove
111
ref
2658
remove
nil
cons
2660
def
cons
nil
cons
2661
def
cons
nil
cons
cons
175
ref
subst
proveHyp
1698
remove
2659
remove
appThm
sym
nil
1701
remove
2661
remove
cons
nil
cons
cons
2662
def
126
ref
subst
2662
remove
194
ref
subst
36
ref
"_32026"
3
ref
var
2663
def
71
ref
49
ref
2663
remove
varTerm
appTerm
2657
ref
appTerm
appTerm
562
ref
appTerm
absTerm
2664
def
1647
remove
appTerm
2665
def
appTerm
refl
2664
ref
1692
ref
appTerm
betaConv
appThm
155
ref
2665
remove
betaConv
appThm
71
ref
1706
ref
2657
remove
appTerm
appTerm
562
ref
appTerm
2666
def
refl
2667
def
appThm
trans
2664
remove
refl
1709
remove
appThm
eqMp
sym
1724
remove
nil
1726
remove
111
ref
2666
remove
nil
cons
2668
def
cons
nil
cons
2669
def
cons
nil
cons
cons
175
ref
subst
proveHyp
1731
remove
2667
remove
appThm
sym
nil
1734
remove
2669
remove
cons
nil
cons
cons
2670
def
126
ref
subst
2670
remove
194
ref
subst
36
ref
"_32028"
3
ref
var
2671
def
71
ref
1706
ref
49
ref
2671
remove
varTerm
appTerm
2656
ref
appTerm
appTerm
appTerm
562
ref
appTerm
absTerm
2672
def
1649
remove
appTerm
2673
def
appTerm
refl
2672
ref
1725
ref
appTerm
betaConv
appThm
155
ref
2673
remove
betaConv
appThm
71
ref
1706
ref
49
ref
1725
remove
appTerm
2674
def
2656
ref
appTerm
appTerm
appTerm
562
ref
appTerm
2675
def
refl
2676
def
appThm
trans
2672
remove
refl
1739
remove
appThm
eqMp
sym
227
ref
36
ref
2595
ref
456
ref
2565
ref
appTerm
2677
def
1619
ref
appTerm
appTerm
2678
def
233
ref
appTerm
appTerm
2582
remove
1619
ref
appTerm
2679
def
233
ref
appTerm
appTerm
absTerm
2680
def
556
ref
appTerm
2681
def
betaConv
66
ref
68
ref
227
ref
36
ref
2595
ref
2677
remove
74
ref
appTerm
2682
def
appTerm
233
ref
appTerm
appTerm
2583
remove
233
ref
appTerm
appTerm
absTerm
appTerm
absTerm
2683
def
1619
ref
appTerm
2684
def
betaConv
26
ref
65
ref
66
ref
68
ref
227
ref
36
ref
72
ref
2562
remove
41
ref
appTerm
appTerm
2685
def
2682
remove
appTerm
233
ref
appTerm
appTerm
1657
ref
appTerm
absTerm
appTerm
absTerm
appTerm
absTerm
2686
def
2559
ref
appTerm
2687
def
betaConv
1667
remove
2556
ref
appTerm
2688
def
betaConv
1683
ref
nil
1685
remove
111
ref
2688
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
175
ref
subst
proveHyp
207
ref
1686
remove
2642
ref
cons
nil
cons
cons
205
ref
subst
eqMp
eqMp
nil
110
ref
99
ref
2686
ref
appTerm
nil
cons
cons
111
ref
2687
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
175
ref
subst
proveHyp
207
ref
208
ref
2686
remove
nil
cons
cons
29
ref
2560
remove
cons
nil
cons
2689
def
cons
nil
cons
cons
205
ref
subst
eqMp
eqMp
nil
110
ref
65
ref
2683
ref
appTerm
nil
cons
cons
111
ref
2684
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
175
ref
subst
proveHyp
256
ref
257
ref
2683
remove
nil
cons
cons
1723
ref
cons
nil
cons
cons
205
ref
subst
eqMp
eqMp
nil
110
ref
68
ref
2680
ref
appTerm
nil
cons
cons
111
ref
2681
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
175
ref
subst
proveHyp
261
ref
262
ref
2680
remove
nil
cons
cons
2526
ref
cons
nil
cons
cons
205
ref
subst
eqMp
eqMp
nil
110
ref
36
ref
2678
remove
556
ref
appTerm
appTerm
2679
remove
556
ref
appTerm
2690
def
appTerm
nil
cons
cons
111
ref
2675
remove
nil
cons
2691
def
cons
nil
cons
2692
def
cons
nil
cons
cons
175
ref
subst
proveHyp
226
ref
155
ref
2595
remove
refl
2644
remove
1696
ref
appThm
appThm
556
ref
refl
appThm
appThm
2690
ref
refl
appThm
appThm
2676
remove
appThm
sym
nil
110
ref
36
ref
2656
ref
appTerm
2690
ref
appTerm
2693
def
nil
cons
2694
def
cons
2692
remove
cons
nil
cons
cons
2695
def
126
ref
subst
2695
remove
194
ref
subst
36
ref
"_32030"
3
ref
var
2696
def
71
ref
1706
ref
2674
ref
2696
remove
varTerm
appTerm
appTerm
appTerm
562
ref
appTerm
absTerm
2697
def
2656
remove
appTerm
2698
def
appTerm
refl
2697
ref
2690
ref
appTerm
betaConv
appThm
155
ref
2698
remove
betaConv
appThm
71
ref
1706
ref
2674
remove
2690
remove
appTerm
appTerm
appTerm
562
ref
appTerm
refl
appThm
trans
2697
remove
refl
2693
remove
assume
appThm
eqMp
sym
1740
remove
2584
ref
556
ref
appTerm
2699
def
betaConv
2586
ref
81
ref
appTerm
2700
def
betaConv
2588
ref
76
ref
appTerm
2701
def
betaConv
2590
ref
74
ref
appTerm
2702
def
betaConv
nil
110
ref
2640
remove
cons
111
ref
2702
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
175
ref
subst
256
ref
257
ref
2590
remove
nil
cons
cons
260
ref
cons
nil
cons
cons
205
ref
subst
eqMp
eqMp
nil
110
ref
2589
remove
nil
cons
cons
111
ref
2701
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
175
ref
subst
proveHyp
261
ref
262
ref
2588
remove
nil
cons
cons
824
ref
cons
nil
cons
cons
205
ref
subst
eqMp
eqMp
nil
110
ref
2587
remove
nil
cons
cons
111
ref
2700
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
175
ref
subst
proveHyp
261
ref
262
ref
2586
remove
nil
cons
cons
828
ref
cons
nil
cons
cons
205
ref
subst
eqMp
eqMp
nil
110
ref
2585
remove
nil
cons
cons
111
ref
2699
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
175
ref
subst
proveHyp
261
ref
262
ref
2584
remove
nil
cons
cons
2526
ref
cons
nil
cons
cons
205
ref
subst
eqMp
eqMp
subst
eqMp
eqMp
nil
151
ref
2694
remove
cons
153
ref
2691
remove
cons
nil
cons
cons
nil
cons
cons
167
ref
subst
deductAntisym
eqMp
eqMp
eqMp
eqMp
eqMp
nil
1744
remove
153
ref
2668
remove
cons
nil
cons
cons
nil
cons
cons
167
ref
subst
deductAntisym
eqMp
eqMp
eqMp
eqMp
eqMp
nil
1745
remove
153
ref
2660
remove
cons
nil
cons
cons
nil
cons
cons
167
ref
subst
deductAntisym
eqMp
eqMp
eqMp
eqMp
eqMp
nil
1746
remove
153
ref
2646
ref
cons
nil
cons
2703
def
cons
nil
cons
cons
167
ref
subst
deductAntisym
eqMp
eqMp
eqMp
nil
1748
remove
2703
ref
cons
nil
cons
cons
167
ref
subst
deductAntisym
eqMp
eqMp
absThm
eqMp
nil
110
ref
65
ref
258
ref
1749
remove
2599
ref
appTerm
absTerm
appTerm
nil
cons
cons
111
ref
1750
remove
2599
ref
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
175
ref
subst
proveHyp
256
ref
1751
remove
2703
ref
cons
nil
cons
cons
811
ref
subst
eqMp
eqMp
eqMp
nil
1752
remove
2703
ref
cons
nil
cons
cons
167
ref
subst
deductAntisym
eqMp
nil
1754
remove
2647
ref
cons
nil
cons
cons
2704
def
126
ref
subst
2704
remove
194
ref
subst
1834
ref
nil
1836
ref
2647
ref
cons
nil
cons
cons
175
ref
subst
proveHyp
1840
remove
2599
remove
refl
appThm
sym
nil
1841
remove
2647
remove
cons
nil
cons
cons
2705
def
126
ref
subst
2705
remove
194
ref
subst
36
ref
"_32002"
3
ref
var
2706
def
71
ref
49
ref
2706
remove
varTerm
appTerm
2598
ref
appTerm
appTerm
562
ref
appTerm
absTerm
2707
def
1515
ref
appTerm
2708
def
appTerm
refl
2707
ref
1477
ref
appTerm
betaConv
appThm
155
ref
2708
remove
betaConv
appThm
71
ref
1478
ref
2598
remove
appTerm
appTerm
562
ref
appTerm
2709
def
refl
2710
def
appThm
trans
2707
remove
refl
1848
remove
appThm
eqMp
sym
1862
remove
nil
1864
remove
111
ref
2709
remove
nil
cons
2711
def
cons
nil
cons
2712
def
cons
nil
cons
cons
175
ref
subst
proveHyp
1868
remove
2710
remove
appThm
sym
nil
1869
remove
2712
remove
cons
nil
cons
cons
2713
def
126
ref
subst
2713
remove
194
ref
subst
36
ref
"_32004"
3
ref
var
2714
def
71
ref
1478
ref
49
ref
2714
remove
varTerm
appTerm
2597
ref
appTerm
appTerm
appTerm
562
ref
appTerm
absTerm
2715
def
1519
remove
appTerm
2716
def
appTerm
refl
2715
ref
1481
remove
appTerm
betaConv
appThm
155
ref
2716
remove
betaConv
appThm
71
ref
1478
ref
2567
ref
2597
ref
appTerm
appTerm
appTerm
562
ref
appTerm
2717
def
refl
2718
def
appThm
trans
2715
remove
refl
1874
remove
appThm
eqMp
sym
227
ref
71
ref
1597
ref
2565
remove
appTerm
appTerm
2719
def
36
ref
2596
remove
233
ref
appTerm
appTerm
2568
remove
233
ref
appTerm
2720
def
appTerm
appTerm
absTerm
2721
def
556
ref
appTerm
2722
def
betaConv
66
ref
68
ref
2721
ref
appTerm
2723
def
absTerm
2724
def
74
ref
appTerm
2725
def
betaConv
26
ref
65
ref
66
ref
68
ref
227
ref
2719
ref
36
ref
2685
remove
74
ref
appTerm
233
ref
appTerm
appTerm
2720
remove
appTerm
appTerm
absTerm
appTerm
absTerm
appTerm
absTerm
2726
def
2559
ref
appTerm
2727
def
betaConv
1775
ref
2556
ref
appTerm
2728
def
betaConv
1831
ref
nil
1833
ref
111
ref
2728
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
175
ref
subst
proveHyp
207
ref
1777
ref
2642
remove
cons
nil
cons
cons
205
ref
subst
eqMp
eqMp
nil
110
ref
99
ref
2726
ref
appTerm
nil
cons
cons
111
ref
2727
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
175
ref
subst
proveHyp
207
ref
208
ref
2726
remove
nil
cons
cons
2689
remove
cons
nil
cons
cons
205
ref
subst
eqMp
eqMp
nil
110
ref
65
ref
2724
ref
appTerm
nil
cons
cons
111
ref
2725
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
175
ref
subst
proveHyp
256
ref
257
ref
2724
remove
nil
cons
cons
260
ref
cons
nil
cons
cons
205
ref
subst
eqMp
eqMp
nil
110
ref
2723
remove
nil
cons
cons
111
ref
2722
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
175
ref
subst
proveHyp
261
ref
262
ref
2721
remove
nil
cons
cons
2526
ref
cons
nil
cons
cons
205
ref
subst
eqMp
eqMp
nil
110
ref
2719
remove
36
ref
2597
ref
appTerm
2569
ref
appTerm
2729
def
appTerm
nil
cons
cons
111
ref
2717
remove
nil
cons
2730
def
cons
nil
cons
2731
def
cons
nil
cons
cons
175
ref
subst
proveHyp
226
ref
226
ref
1837
remove
2643
remove
appThm
1838
remove
trans
appThm
2729
ref
refl
appThm
nil
139
ref
2729
ref
nil
cons
2732
def
cons
nil
cons
nil
cons
cons
840
ref
subst
trans
appThm
2718
remove
appThm
sym
nil
110
ref
2732
ref
cons
2731
remove
cons
nil
cons
cons
2733
def
126
ref
subst
2733
remove
194
ref
subst
36
ref
"_32006"
3
ref
var
2734
def
71
ref
1478
ref
2567
remove
2734
remove
varTerm
appTerm
appTerm
appTerm
562
ref
appTerm
absTerm
2735
def
2597
remove
appTerm
2736
def
appTerm
refl
2735
ref
2569
remove
appTerm
betaConv
appThm
155
ref
2736
remove
betaConv
appThm
2570
remove
refl
appThm
trans
2735
remove
refl
2729
remove
assume
appThm
eqMp
sym
2571
ref
556
ref
appTerm
2737
def
betaConv
2573
ref
81
ref
appTerm
2738
def
betaConv
2575
ref
76
ref
appTerm
2739
def
betaConv
2577
ref
74
ref
appTerm
2740
def
betaConv
nil
110
ref
2627
remove
cons
111
ref
2740
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
175
ref
subst
256
ref
257
ref
2577
remove
nil
cons
cons
260
ref
cons
nil
cons
cons
205
ref
subst
eqMp
eqMp
nil
110
ref
2576
remove
nil
cons
cons
111
ref
2739
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
175
ref
subst
proveHyp
261
ref
262
ref
2575
remove
nil
cons
cons
824
ref
cons
nil
cons
cons
205
ref
subst
eqMp
eqMp
nil
110
ref
2574
remove
nil
cons
cons
111
ref
2738
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
175
ref
subst
proveHyp
261
ref
262
ref
2573
remove
nil
cons
cons
828
ref
cons
nil
cons
cons
205
ref
subst
eqMp
eqMp
nil
110
ref
2572
remove
nil
cons
cons
111
ref
2737
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
175
ref
subst
proveHyp
261
ref
262
ref
2571
remove
nil
cons
cons
2526
ref
cons
nil
cons
cons
205
ref
subst
eqMp
eqMp
eqMp
eqMp
nil
151
ref
2732
remove
cons
153
ref
2730
remove
cons
nil
cons
cons
nil
cons
cons
167
ref
subst
deductAntisym
eqMp
eqMp
eqMp
eqMp
eqMp
nil
1878
remove
153
ref
2711
remove
cons
nil
cons
cons
nil
cons
cons
167
ref
subst
deductAntisym
eqMp
eqMp
eqMp
eqMp
eqMp
nil
1879
remove
2703
ref
cons
nil
cons
cons
167
ref
subst
deductAntisym
eqMp
eqMp
eqMp
eqMp
nil
1880
ref
2703
remove
cons
nil
cons
cons
167
ref
subst
deductAntisym
eqMp
1887
remove
nil
1880
remove
1888
remove
1335
ref
2646
remove
cons
nil
cons
cons
cons
nil
cons
cons
1350
ref
subst
proveHyp
proveHyp
proveHyp
eqMp
absThm
eqMp
eqMp
absThm
eqMp
eqMp
absThm
eqMp
eqMp
absThm
eqMp
eqMp
eqMp
256
ref
257
ref
2608
remove
nil
cons
cons
1585
remove
cons
nil
cons
cons
724
ref
subst
proveHyp
proveHyp
proveHyp
proveHyp
proveHyp
proveHyp
proveHyp
eqMp
nil
151
ref
2636
remove
cons
153
ref
2610
remove
cons
nil
cons
2741
def
cons
nil
cons
cons
167
ref
subst
deductAntisym
eqMp
eqMp
eqMp
nil
151
ref
2631
remove
cons
2741
ref
cons
nil
cons
cons
167
ref
subst
deductAntisym
eqMp
eqMp
absThm
eqMp
nil
110
ref
65
ref
258
ref
71
ref
2592
ref
797
ref
appTerm
appTerm
2609
ref
appTerm
absTerm
appTerm
nil
cons
cons
111
ref
71
ref
2593
remove
appTerm
2609
ref
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
175
ref
subst
proveHyp
256
ref
257
ref
2592
remove
nil
cons
cons
2741
ref
cons
nil
cons
cons
811
ref
subst
eqMp
eqMp
proveHyp
proveHyp
proveHyp
proveHyp
proveHyp
proveHyp
eqMp
nil
151
ref
2623
remove
cons
2741
ref
cons
nil
cons
cons
167
ref
subst
deductAntisym
eqMp
eqMp
eqMp
nil
151
ref
2618
remove
cons
2741
ref
cons
nil
cons
cons
167
ref
subst
deductAntisym
eqMp
eqMp
absThm
eqMp
nil
110
ref
65
ref
258
ref
71
ref
2579
ref
797
ref
appTerm
appTerm
2609
ref
appTerm
absTerm
appTerm
nil
cons
cons
111
ref
71
ref
2580
remove
appTerm
2609
remove
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
175
ref
subst
proveHyp
256
ref
257
ref
2579
remove
nil
cons
cons
2741
ref
cons
nil
cons
cons
811
ref
subst
eqMp
eqMp
proveHyp
proveHyp
eqMp
nil
151
ref
2594
remove
cons
2741
remove
cons
nil
cons
cons
167
ref
subst
deductAntisym
eqMp
eqMp
2742
def
subst
2743
def
eqMp
eqMp
207
ref
208
ref
2389
remove
nil
cons
cons
29
ref
2457
ref
nil
cons
cons
nil
cons
2744
def
cons
nil
cons
cons
724
ref
subst
proveHyp
eqMp
nil
151
ref
2452
ref
cons
2745
def
153
ref
2413
remove
cons
nil
cons
2746
def
cons
nil
cons
cons
167
ref
subst
deductAntisym
eqMp
eqMp
eqMp
nil
151
ref
2449
remove
cons
2746
ref
cons
nil
cons
cons
167
ref
subst
deductAntisym
eqMp
eqMp
absThm
eqMp
nil
110
ref
68
ref
263
ref
71
ref
2443
ref
627
ref
appTerm
appTerm
2390
ref
appTerm
absTerm
appTerm
nil
cons
cons
111
ref
71
ref
2444
remove
appTerm
2390
ref
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
175
ref
subst
proveHyp
261
ref
262
ref
2443
remove
nil
cons
cons
2746
ref
cons
nil
cons
cons
811
ref
subst
eqMp
eqMp
eqMp
nil
151
ref
2430
ref
cons
2746
ref
cons
nil
cons
cons
167
ref
subst
deductAntisym
eqMp
eqMp
eqMp
nil
151
ref
2427
remove
cons
2746
ref
cons
nil
cons
cons
167
ref
subst
deductAntisym
eqMp
eqMp
absThm
eqMp
nil
110
ref
99
ref
29
ref
71
ref
2411
ref
39
ref
appTerm
appTerm
2390
ref
appTerm
absTerm
appTerm
nil
cons
cons
111
ref
71
ref
2412
remove
appTerm
2390
remove
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
175
ref
subst
proveHyp
207
ref
208
ref
2411
remove
nil
cons
cons
2746
remove
cons
nil
cons
cons
811
ref
subst
eqMp
eqMp
eqMp
eqMp
proveHyp
proveHyp
eqMp
nil
151
ref
2375
remove
cons
2747
def
153
ref
2350
remove
cons
nil
cons
2748
def
cons
nil
cons
cons
167
ref
subst
deductAntisym
eqMp
eqMp
eqMp
nil
151
ref
2365
remove
cons
2749
def
2748
ref
cons
nil
cons
cons
167
ref
subst
deductAntisym
eqMp
eqMp
absThm
eqMp
nil
110
ref
99
ref
29
ref
71
ref
2357
ref
39
ref
appTerm
appTerm
2750
def
2340
ref
appTerm
absTerm
appTerm
nil
cons
cons
111
ref
71
ref
2358
remove
appTerm
2751
def
2340
ref
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
175
ref
subst
proveHyp
207
ref
208
ref
2357
remove
nil
cons
cons
2752
def
2748
ref
cons
nil
cons
cons
811
ref
subst
eqMp
eqMp
eqMp
nil
151
ref
2348
remove
cons
2753
def
2748
ref
cons
nil
cons
cons
167
ref
subst
deductAntisym
eqMp
eqMp
absThm
eqMp
nil
110
ref
68
ref
263
ref
71
ref
2298
ref
627
ref
appTerm
appTerm
2754
def
2340
remove
appTerm
absTerm
appTerm
nil
cons
cons
111
ref
2341
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
175
ref
subst
proveHyp
261
ref
262
ref
2298
remove
nil
cons
cons
2755
def
2748
remove
cons
nil
cons
cons
811
ref
subst
eqMp
eqMp
proveHyp
proveHyp
eqMp
nil
151
ref
2327
remove
cons
2756
def
153
ref
2304
remove
cons
nil
cons
2757
def
cons
nil
cons
cons
167
ref
subst
deductAntisym
eqMp
eqMp
eqMp
nil
151
ref
2318
remove
cons
2758
def
2757
ref
cons
nil
cons
cons
167
ref
subst
deductAntisym
eqMp
eqMp
absThm
eqMp
nil
110
ref
99
ref
1892
ref
71
ref
2310
ref
1893
ref
appTerm
appTerm
2759
def
2300
ref
appTerm
absTerm
appTerm
nil
cons
cons
111
ref
71
ref
2311
remove
appTerm
2760
def
2300
ref
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
175
ref
subst
proveHyp
207
ref
208
ref
2310
remove
nil
cons
cons
2761
def
2757
ref
cons
nil
cons
cons
811
ref
subst
eqMp
eqMp
eqMp
nil
151
ref
2302
remove
cons
2762
def
2757
ref
cons
nil
cons
cons
167
ref
subst
deductAntisym
eqMp
eqMp
absThm
eqMp
nil
110
ref
68
ref
263
ref
1894
ref
2300
ref
appTerm
absTerm
appTerm
nil
cons
cons
111
ref
1895
ref
2300
remove
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
175
ref
subst
proveHyp
261
ref
1896
ref
2757
remove
cons
nil
cons
cons
811
ref
subst
eqMp
eqMp
eqMp
absThm
eqMp
eqMp
absThm
eqMp
eqMp
nil
151
ref
2283
remove
cons
153
ref
2285
remove
cons
nil
cons
cons
nil
cons
cons
167
ref
subst
deductAntisym
eqMp
eqMp
absThm
eqMp
eqMp
nil
110
ref
49
ref
2271
remove
appTerm
2282
remove
appTerm
nil
cons
cons
111
ref
65
ref
2215
ref
appTerm
nil
cons
2763
def
cons
nil
cons
cons
nil
cons
cons
175
ref
subst
proveHyp
226
ref
216
ref
2215
ref
220
ref
appTerm
betaConv
appThm
224
ref
48
ref
226
ref
2217
ref
appThm
2215
ref
309
ref
appTerm
betaConv
appThm
absThm
appThm
appThm
appThm
224
ref
48
ref
2217
remove
absThm
appThm
appThm
nil
1024
ref
2215
remove
nil
cons
2764
def
cons
nil
cons
nil
cons
cons
1904
ref
subst
eqMp
eqMp
nil
110
ref
2763
remove
cons
111
ref
2216
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
175
ref
subst
proveHyp
256
ref
257
ref
2764
remove
cons
293
ref
cons
nil
cons
cons
205
ref
subst
eqMp
eqMp
nil
2284
remove
111
ref
2213
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
175
ref
subst
proveHyp
207
ref
2401
remove
210
ref
cons
nil
cons
cons
205
ref
subst
eqMp
eqMp
nil
110
ref
2211
remove
nil
cons
cons
111
ref
2210
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
175
ref
subst
proveHyp
207
ref
208
ref
2209
remove
nil
cons
cons
213
ref
cons
nil
cons
cons
205
ref
subst
eqMp
eqMp
eqMp
absThm
eqMp
eqMp
eqMp
proveHyp
eqMp
nil
151
ref
2184
remove
cons
2765
def
153
ref
2186
remove
cons
nil
cons
cons
nil
cons
cons
167
ref
subst
deductAntisym
eqMp
eqMp
absThm
eqMp
eqMp
absThm
eqMp
eqMp
nil
151
ref
2174
remove
cons
153
ref
2182
remove
cons
nil
cons
cons
nil
cons
cons
167
ref
subst
deductAntisym
eqMp
2766
def
subst
eqMp
eqMp
2767
def
nil
99
ref
29
ref
99
ref
26
ref
1118
ref
725
ref
542
ref
901
ref
547
ref
appTerm
2768
def
absTerm
2769
def
appTerm
2770
def
appTerm
2771
def
absTerm
2772
def
appTerm
2773
def
absTerm
2774
def
appTerm
2775
def
thm
624
ref
29
ref
624
ref
26
ref
2161
ref
997
ref
542
ref
609
ref
625
ref
appThm
2776
def
998
ref
appThm
2163
ref
appThm
2777
def
absThm
appThm
appThm
absThm
appThm
absThm
appThm
sym
nil
68
ref
263
ref
68
ref
1001
ref
1000
ref
2165
ref
607
ref
627
ref
appTerm
2778
def
1002
ref
appTerm
2168
ref
appTerm
2779
def
absTerm
appTerm
absTerm
appTerm
absTerm
appTerm
axiom
nil
110
ref
68
ref
69
ref
68
ref
70
ref
1000
ref
552
ref
607
ref
76
ref
appTerm
2780
def
81
ref
appTerm
556
ref
appTerm
2781
def
absTerm
appTerm
absTerm
appTerm
absTerm
appTerm
nil
cons
cons
111
ref
99
ref
29
ref
99
ref
26
ref
1118
ref
725
ref
542
ref
608
remove
39
ref
appTerm
41
ref
appTerm
547
ref
appTerm
absTerm
appTerm
appTerm
absTerm
appTerm
absTerm
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
175
ref
subst
proveHyp
611
ref
2766
ref
subst
eqMp
eqMp
2782
def
nil
99
ref
29
ref
99
ref
26
ref
1118
ref
725
ref
542
ref
606
ref
39
ref
appTerm
2783
def
41
ref
appTerm
2784
def
547
ref
appTerm
2785
def
absTerm
appTerm
appTerm
absTerm
appTerm
absTerm
2786
def
appTerm
2787
def
thm
624
ref
29
ref
624
ref
26
ref
2161
ref
997
ref
542
ref
618
ref
625
ref
appThm
2788
def
998
ref
appThm
2163
ref
appThm
2789
def
absThm
appThm
appThm
absThm
appThm
absThm
appThm
sym
nil
68
ref
263
ref
68
ref
1001
ref
1000
ref
2165
ref
616
ref
627
ref
appTerm
2790
def
1002
ref
appTerm
2168
ref
appTerm
2791
def
absTerm
appTerm
absTerm
appTerm
absTerm
appTerm
axiom
nil
110
ref
68
ref
69
ref
68
ref
70
ref
1000
ref
552
ref
616
ref
76
ref
appTerm
2792
def
81
ref
appTerm
556
ref
appTerm
2793
def
absTerm
appTerm
absTerm
appTerm
absTerm
appTerm
nil
cons
cons
111
ref
99
ref
29
ref
99
ref
26
ref
1118
ref
725
ref
542
ref
617
remove
39
ref
appTerm
41
ref
appTerm
547
ref
appTerm
absTerm
appTerm
appTerm
absTerm
appTerm
absTerm
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
175
ref
subst
proveHyp
620
ref
2766
ref
subst
eqMp
eqMp
2794
def
nil
99
ref
29
ref
99
ref
26
ref
1118
ref
725
ref
542
ref
615
ref
39
ref
appTerm
2795
def
41
ref
appTerm
2796
def
547
ref
appTerm
2797
def
absTerm
appTerm
appTerm
absTerm
appTerm
absTerm
2798
def
appTerm
2799
def
thm
nil
178
ref
22
ref
68
ref
227
ref
68
ref
263
ref
36
ref
1439
ref
appTerm
1147
ref
appTerm
2800
def
absTerm
2801
def
appTerm
2802
def
absTerm
2803
def
appTerm
2804
def
absTerm
2805
def
nil
cons
cons
nil
cons
nil
cons
cons
1982
ref
subst
22
ref
nil
139
ref
2804
remove
nil
cons
cons
nil
cons
nil
cons
cons
146
ref
subst
nil
262
ref
2803
remove
nil
cons
cons
nil
cons
nil
cons
cons
663
ref
subst
227
ref
nil
139
ref
2802
remove
nil
cons
cons
nil
cons
nil
cons
cons
146
ref
subst
nil
262
ref
2801
remove
nil
cons
cons
nil
cons
nil
cons
cons
663
ref
subst
263
ref
nil
139
ref
2800
ref
nil
cons
cons
nil
cons
nil
cons
cons
146
ref
subst
1438
remove
eqMp
absThm
eqMp
eqMp
absThm
eqMp
eqMp
absThm
eqMp
2806
def
nil
108
ref
2805
remove
appTerm
thm
nil
592
ref
539
ref
71
ref
68
ref
227
ref
2464
remove
233
ref
appTerm
233
ref
appTerm
2807
def
absTerm
2808
def
appTerm
2809
def
appTerm
99
ref
29
ref
546
ref
39
ref
appTerm
39
ref
appTerm
2810
def
absTerm
2811
def
appTerm
2812
def
appTerm
2813
def
absTerm
2814
def
nil
cons
cons
nil
cons
nil
cons
cons
1959
remove
642
ref
subst
2815
def
subst
539
ref
nil
139
ref
2813
remove
nil
cons
cons
nil
cons
nil
cons
cons
146
ref
subst
nil
110
ref
2809
remove
nil
cons
2816
def
cons
2817
def
111
ref
2812
remove
nil
cons
2818
def
cons
nil
cons
cons
nil
cons
cons
2819
def
126
ref
subst
2819
remove
194
ref
subst
nil
208
ref
2811
remove
nil
cons
cons
nil
cons
nil
cons
cons
643
ref
subst
29
ref
nil
139
ref
2810
remove
nil
cons
cons
nil
cons
nil
cons
cons
146
ref
subst
nil
542
ref
209
ref
cons
645
remove
cons
nil
cons
cons
596
ref
subst
sym
48
ref
59
ref
59
ref
59
ref
65
ref
66
ref
68
ref
69
ref
68
ref
70
ref
68
ref
552
ref
71
ref
78
ref
49
ref
646
remove
appTerm
75
ref
556
ref
appTerm
2820
def
appTerm
2821
def
appTerm
2822
def
appTerm
562
ref
appTerm
2823
def
absTerm
2824
def
appTerm
2825
def
absTerm
2826
def
appTerm
2827
def
absTerm
2828
def
appTerm
2829
def
absTerm
2830
def
appTerm
2831
def
appTerm
appTerm
appTerm
absTerm
2832
def
55
ref
appTerm
betaConv
sym
660
ref
660
ref
660
ref
2831
ref
refl
appThm
nil
139
ref
2831
remove
nil
cons
cons
nil
cons
nil
cons
cons
527
ref
subst
2833
def
trans
appThm
2833
ref
trans
appThm
2833
remove
trans
sym
nil
257
ref
2830
remove
nil
cons
cons
nil
cons
nil
cons
cons
662
ref
subst
66
ref
nil
139
ref
2829
remove
nil
cons
cons
nil
cons
nil
cons
cons
146
ref
subst
nil
262
ref
2828
remove
nil
cons
cons
nil
cons
nil
cons
cons
663
ref
subst
69
ref
nil
139
ref
2827
remove
nil
cons
cons
nil
cons
nil
cons
cons
146
ref
subst
nil
262
ref
2826
remove
nil
cons
cons
nil
cons
nil
cons
cons
663
ref
subst
70
ref
nil
139
ref
2825
remove
nil
cons
cons
nil
cons
nil
cons
cons
146
ref
subst
nil
262
ref
2824
remove
nil
cons
cons
nil
cons
nil
cons
cons
663
ref
subst
552
ref
nil
139
ref
2823
remove
nil
cons
cons
nil
cons
nil
cons
cons
146
ref
subst
nil
110
ref
2822
remove
nil
cons
2834
def
cons
2500
ref
cons
nil
cons
cons
2835
def
126
ref
subst
2835
remove
194
ref
subst
nil
668
ref
153
ref
2821
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
2836
def
167
ref
subst
2836
remove
334
ref
subst
nil
151
ref
669
remove
cons
153
ref
2820
ref
nil
cons
2837
def
cons
nil
cons
cons
nil
cons
cons
2838
def
167
ref
subst
2838
remove
334
ref
subst
829
remove
nil
831
remove
2500
ref
cons
nil
cons
cons
175
ref
subst
proveHyp
841
remove
599
ref
appThm
sym
nil
842
remove
2500
ref
cons
nil
cons
cons
2839
def
126
ref
subst
2839
remove
194
ref
subst
36
ref
"_32100"
11
ref
var
2840
def
561
ref
2840
remove
varTerm
appTerm
556
ref
appTerm
absTerm
2841
def
81
ref
appTerm
2842
def
appTerm
refl
2841
ref
76
ref
appTerm
betaConv
appThm
155
ref
2842
remove
betaConv
appThm
561
remove
76
ref
appTerm
2843
def
556
ref
appTerm
2844
def
refl
2845
def
appThm
trans
2841
remove
refl
847
remove
sym
appThm
eqMp
sym
674
remove
556
ref
appTerm
2846
def
betaConv
825
remove
nil
826
remove
111
ref
2846
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
175
ref
subst
proveHyp
261
ref
827
remove
2526
ref
cons
nil
cons
cons
205
ref
subst
eqMp
eqMp
nil
110
ref
71
ref
78
ref
2820
ref
appTerm
appTerm
468
remove
556
ref
appTerm
2847
def
appTerm
nil
cons
cons
111
ref
2844
remove
nil
cons
2848
def
cons
nil
cons
2849
def
cons
nil
cons
cons
175
ref
subst
proveHyp
226
ref
226
ref
834
ref
nil
139
ref
2837
remove
cons
nil
cons
nil
cons
cons
146
ref
subst
2820
remove
assume
eqMp
appThm
528
ref
trans
appThm
2847
ref
refl
appThm
nil
139
ref
2847
ref
nil
cons
2850
def
cons
nil
cons
nil
cons
cons
840
ref
subst
trans
appThm
2845
remove
appThm
sym
nil
110
ref
2850
ref
cons
2849
remove
cons
nil
cons
cons
2851
def
126
ref
subst
2851
remove
194
ref
subst
36
ref
"_32102"
11
ref
var
2852
def
2843
ref
2852
remove
varTerm
appTerm
absTerm
2853
def
556
ref
appTerm
2854
def
appTerm
refl
2853
ref
76
ref
appTerm
betaConv
appThm
155
ref
2854
remove
betaConv
appThm
2843
remove
76
ref
appTerm
refl
appThm
trans
2853
remove
refl
2847
remove
assume
sym
appThm
eqMp
sym
231
ref
nil
139
ref
2807
remove
nil
cons
cons
nil
cons
nil
cons
cons
146
ref
subst
2808
ref
233
ref
appTerm
2855
def
betaConv
nil
2817
remove
111
ref
2855
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
175
ref
subst
261
ref
262
ref
2808
remove
nil
cons
cons
265
ref
cons
nil
cons
cons
205
ref
subst
eqMp
eqMp
eqMp
subst
sym
145
ref
eqMp
eqMp
eqMp
nil
151
ref
2850
remove
cons
153
ref
2848
remove
cons
nil
cons
cons
nil
cons
cons
167
ref
subst
deductAntisym
eqMp
eqMp
eqMp
eqMp
eqMp
nil
849
remove
2527
ref
cons
nil
cons
cons
167
ref
subst
deductAntisym
eqMp
eqMp
eqMp
proveHyp
proveHyp
proveHyp
proveHyp
eqMp
nil
151
ref
2834
remove
cons
2527
ref
cons
nil
cons
cons
167
ref
subst
deductAntisym
eqMp
eqMp
absThm
eqMp
eqMp
absThm
eqMp
eqMp
absThm
eqMp
eqMp
absThm
eqMp
eqMp
eqMp
256
ref
257
ref
2832
remove
nil
cons
cons
658
ref
cons
nil
cons
cons
724
ref
subst
proveHyp
eqMp
eqMp
absThm
eqMp
eqMp
nil
151
ref
2816
remove
cons
153
ref
2818
remove
cons
nil
cons
cons
nil
cons
cons
167
ref
subst
deductAntisym
eqMp
eqMp
absThm
eqMp
nil
588
ref
2814
remove
appTerm
thm
624
ref
29
ref
624
ref
26
ref
155
ref
224
ref
"t"
44
ref
var
2856
def
71
ref
1906
ref
appTerm
2857
def
refl
2858
def
2856
ref
0
ref
1
ref
"Data.List.list"
typeOp
2859
def
4
ref
opType
2860
def
1
ref
2860
ref
4
ref
cons
opType
2861
def
nil
cons
cons
opType
constTerm
2862
def
"Hardware.Bus.signal"
const
1
ref
2
ref
1
ref
44
ref
2860
ref
nil
cons
2863
def
cons
opType
nil
cons
cons
opType
constTerm
2864
def
41
ref
appTerm
2865
def
2856
ref
varTerm
2866
def
appTerm
2867
def
appTerm
2868
def
2864
ref
39
ref
appTerm
2869
def
2866
ref
appTerm
2870
def
appTerm
2871
def
absTerm
2872
def
2866
ref
appTerm
betaConv
2873
def
appThm
absThm
appThm
appThm
2858
remove
224
ref
2856
ref
2873
remove
absThm
appThm
appThm
appThm
nil
"q"
45
ref
var
2874
def
2872
ref
nil
cons
cons
110
ref
1906
ref
nil
cons
cons
nil
cons
cons
nil
cons
cons
391
ref
"q"
182
ref
var
2875
def
36
ref
184
ref
189
ref
113
ref
2875
remove
varTerm
2876
def
190
ref
appTerm
2877
def
appTerm
absTerm
appTerm
appTerm
113
remove
184
ref
189
ref
2877
remove
absTerm
appTerm
appTerm
appTerm
absTerm
2878
def
2876
ref
appTerm
2879
def
betaConv
110
ref
1030
ref
2878
ref
appTerm
2880
def
absTerm
2881
def
112
ref
appTerm
2882
def
betaConv
nil
343
ref
2881
ref
appTerm
2883
def
axiom
nil
110
ref
2883
remove
nil
cons
cons
111
ref
2882
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
175
ref
subst
proveHyp
345
ref
346
ref
2881
remove
nil
cons
cons
2246
ref
cons
nil
cons
cons
205
ref
subst
eqMp
eqMp
nil
110
ref
2880
remove
nil
cons
cons
111
ref
2879
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
175
ref
subst
proveHyp
1032
ref
1033
ref
2878
remove
nil
cons
cons
1034
remove
2876
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
205
ref
subst
eqMp
eqMp
subst
2884
def
subst
eqMp
226
ref
999
ref
appThm
2885
def
65
ref
2872
remove
appTerm
2886
def
refl
appThm
trans
absThm
appThm
absThm
appThm
sym
216
ref
224
ref
2856
ref
nil
"x"
2860
ref
var
2887
def
2864
ref
20
ref
appTerm
2888
def
2866
ref
appTerm
2889
def
nil
cons
2890
def
cons
nil
cons
nil
cons
cons
"A"
2863
ref
cons
nil
cons
2891
def
384
ref
cons
2892
def
488
ref
subst
2893
def
subst
absThm
appThm
392
ref
trans
appThm
225
ref
2291
ref
624
ref
2313
ref
225
ref
2343
ref
624
ref
2360
ref
71
ref
49
ref
17
ref
2292
ref
appTerm
2344
ref
appTerm
2894
def
appTerm
2895
def
49
ref
18
ref
2314
ref
appTerm
2361
ref
appTerm
2896
def
appTerm
2897
def
65
ref
2856
ref
2862
ref
2864
ref
2361
ref
appTerm
2898
def
2866
ref
appTerm
2899
def
appTerm
2864
ref
2314
ref
appTerm
2866
ref
appTerm
2900
def
appTerm
2901
def
absTerm
2902
def
appTerm
2903
def
appTerm
2904
def
appTerm
2905
def
appTerm
2906
def
refl
224
ref
2856
ref
2862
ref
refl
2907
def
nil
2406
remove
227
ref
2439
ref
cons
nil
cons
2908
def
cons
2909
def
nil
cons
cons
2856
ref
2862
ref
2864
ref
1218
ref
appTerm
2866
ref
appTerm
appTerm
"Data.List.::"
const
2910
def
1
ref
3
ref
1
ref
2860
ref
2863
remove
cons
opType
nil
cons
2911
def
cons
opType
constTerm
2912
def
"Hardware.signal"
const
1
ref
11
ref
50
remove
cons
opType
constTerm
2913
def
233
ref
appTerm
2866
ref
appTerm
2914
def
appTerm
2915
def
2870
ref
appTerm
appTerm
absTerm
2916
def
2866
ref
appTerm
2917
def
betaConv
29
ref
65
ref
2916
ref
appTerm
2918
def
absTerm
2919
def
39
ref
appTerm
2920
def
betaConv
227
ref
99
ref
2919
ref
appTerm
2921
def
absTerm
2922
def
233
ref
appTerm
2923
def
betaConv
nil
68
ref
2922
ref
appTerm
2924
def
axiom
nil
110
ref
2924
remove
nil
cons
cons
111
ref
2923
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
175
ref
subst
proveHyp
261
ref
262
ref
2922
remove
nil
cons
cons
265
ref
cons
nil
cons
cons
205
ref
subst
eqMp
eqMp
nil
110
ref
2921
remove
nil
cons
cons
111
ref
2920
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
175
ref
subst
proveHyp
207
ref
208
ref
2919
remove
nil
cons
cons
210
ref
cons
nil
cons
cons
205
ref
subst
eqMp
eqMp
nil
110
ref
2918
remove
nil
cons
cons
111
ref
2917
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
175
ref
subst
proveHyp
256
ref
257
ref
2916
remove
nil
cons
cons
258
ref
2866
ref
nil
cons
cons
nil
cons
2925
def
cons
nil
cons
cons
205
ref
subst
eqMp
eqMp
2926
def
subst
2927
def
appThm
nil
2403
remove
2461
ref
cons
2928
def
nil
cons
cons
2926
ref
subst
2929
def
appThm
nil
"t2"
2860
ref
var
2930
def
2900
ref
nil
cons
2931
def
cons
2932
def
"h2"
3
ref
var
2933
def
2913
ref
2292
ref
appTerm
2866
ref
appTerm
2934
def
nil
cons
2935
def
cons
2936
def
"t1"
2860
ref
var
2937
def
2899
ref
nil
cons
2938
def
cons
"h1"
3
ref
var
2939
def
2913
ref
2344
ref
appTerm
2940
def
2866
ref
appTerm
2941
def
nil
cons
2942
def
cons
nil
cons
cons
cons
cons
nil
cons
cons
715
ref
"t2"
2859
remove
426
ref
opType
2943
def
var
2944
def
36
ref
0
remove
1
ref
2943
ref
1
ref
2943
ref
4
ref
cons
opType
2945
def
nil
cons
cons
opType
constTerm
2946
def
2910
remove
1
ref
181
ref
1
ref
2943
ref
2943
ref
nil
cons
2947
def
cons
opType
nil
cons
cons
opType
constTerm
2948
def
"h1"
181
ref
var
2949
def
varTerm
2950
def
appTerm
"t1"
2943
ref
var
2951
def
varTerm
2952
def
appTerm
appTerm
2948
remove
"h2"
181
ref
var
2953
def
varTerm
2954
def
appTerm
2944
remove
varTerm
2955
def
appTerm
appTerm
appTerm
49
ref
407
ref
2950
ref
appTerm
2954
ref
appTerm
appTerm
2946
remove
2952
ref
appTerm
2955
ref
appTerm
appTerm
appTerm
absTerm
2956
def
2955
ref
appTerm
2957
def
betaConv
2951
remove
64
ref
1
ref
2945
ref
4
ref
cons
opType
constTerm
2958
def
2956
ref
appTerm
2959
def
absTerm
2960
def
2952
ref
appTerm
2961
def
betaConv
2953
remove
2958
remove
2960
ref
appTerm
2962
def
absTerm
2963
def
2954
ref
appTerm
2964
def
betaConv
2949
remove
184
ref
2963
ref
appTerm
2965
def
absTerm
2966
def
2950
ref
appTerm
2967
def
betaConv
nil
184
ref
2966
ref
appTerm
2968
def
axiom
nil
110
ref
2968
remove
nil
cons
cons
111
ref
2967
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
175
ref
subst
proveHyp
427
ref
185
ref
2966
remove
nil
cons
cons
189
ref
2950
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
205
ref
subst
eqMp
eqMp
nil
110
ref
2965
remove
nil
cons
cons
111
ref
2964
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
175
ref
subst
proveHyp
427
ref
185
ref
2963
remove
nil
cons
cons
189
ref
2954
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
205
ref
subst
eqMp
eqMp
nil
110
ref
2962
remove
nil
cons
cons
111
ref
2961
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
175
ref
subst
proveHyp
"A"
2947
remove
cons
nil
cons
2969
def
"P"
2945
remove
var
2970
def
2960
remove
nil
cons
cons
"x"
2943
remove
var
2971
def
2952
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
205
ref
subst
eqMp
eqMp
nil
110
ref
2959
remove
nil
cons
cons
111
ref
2957
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
175
ref
subst
proveHyp
2969
remove
2970
remove
2956
remove
nil
cons
cons
2971
remove
2955
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
205
ref
subst
eqMp
eqMp
subst
2972
def
subst
trans
absThm
appThm
appThm
absThm
appThm
absThm
appThm
absThm
appThm
absThm
appThm
appThm
nil
139
ref
68
ref
2291
ref
99
ref
2313
ref
68
ref
2343
ref
99
ref
2360
ref
2906
ref
65
ref
2856
ref
49
ref
36
ref
2941
ref
appTerm
2934
ref
appTerm
2973
def
appTerm
2974
def
2901
remove
appTerm
2975
def
absTerm
2976
def
appTerm
2977
def
appTerm
2978
def
absTerm
2979
def
appTerm
2980
def
absTerm
2981
def
appTerm
2982
def
absTerm
2983
def
appTerm
2984
def
absTerm
2985
def
appTerm
nil
cons
cons
nil
cons
nil
cons
cons
527
ref
subst
trans
sym
nil
262
ref
2985
remove
nil
cons
cons
nil
cons
nil
cons
cons
663
ref
subst
2291
ref
nil
139
ref
2984
remove
nil
cons
cons
nil
cons
nil
cons
cons
146
ref
subst
nil
208
ref
2983
remove
nil
cons
cons
nil
cons
nil
cons
cons
643
ref
subst
2313
ref
nil
139
ref
2982
remove
nil
cons
cons
nil
cons
nil
cons
cons
146
ref
subst
nil
262
ref
2981
remove
nil
cons
cons
nil
cons
nil
cons
cons
663
ref
subst
2343
ref
nil
139
ref
2980
remove
nil
cons
cons
nil
cons
nil
cons
cons
146
ref
subst
nil
208
ref
2979
remove
nil
cons
cons
nil
cons
nil
cons
cons
643
ref
subst
2360
ref
nil
139
ref
2978
remove
nil
cons
cons
nil
cons
nil
cons
cons
146
ref
subst
nil
110
ref
2905
remove
nil
cons
2986
def
cons
111
ref
2977
remove
nil
cons
2987
def
cons
nil
cons
cons
nil
cons
cons
2988
def
126
ref
subst
2988
remove
194
ref
subst
nil
151
ref
2894
remove
nil
cons
2989
def
cons
153
ref
2904
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
2990
def
167
ref
subst
2990
remove
334
ref
subst
nil
151
ref
2896
remove
nil
cons
cons
153
ref
2903
remove
nil
cons
2991
def
cons
nil
cons
cons
nil
cons
cons
334
ref
subst
nil
257
ref
2976
remove
nil
cons
cons
nil
cons
nil
cons
cons
662
ref
subst
2856
ref
nil
139
ref
2975
remove
nil
cons
cons
nil
cons
nil
cons
cons
146
ref
subst
2974
remove
refl
2907
ref
2902
ref
2866
ref
appTerm
2992
def
betaConv
nil
110
ref
2991
remove
cons
111
ref
2992
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
175
ref
subst
256
ref
257
ref
2902
remove
nil
cons
cons
2925
ref
cons
nil
cons
cons
205
ref
subst
eqMp
eqMp
appThm
2900
ref
refl
2993
def
appThm
nil
2887
ref
2931
ref
cons
nil
cons
nil
cons
cons
2893
ref
subst
2994
def
trans
appThm
nil
139
ref
2973
remove
nil
cons
2995
def
cons
nil
cons
nil
cons
cons
397
ref
subst
trans
sym
nil
110
ref
2989
remove
cons
111
ref
2995
remove
cons
nil
cons
cons
nil
cons
cons
175
ref
subst
nil
2437
ref
1001
ref
2439
ref
cons
2996
def
nil
cons
cons
nil
cons
cons
2997
def
2856
ref
71
ref
1003
remove
appTerm
2998
def
36
ref
2913
ref
1002
ref
appTerm
2999
def
2866
ref
appTerm
3000
def
appTerm
2913
ref
627
ref
appTerm
2866
ref
appTerm
3001
def
appTerm
appTerm
absTerm
3002
def
2866
ref
appTerm
3003
def
betaConv
263
ref
65
ref
3002
ref
appTerm
3004
def
absTerm
3005
def
627
ref
appTerm
3006
def
betaConv
1001
ref
68
ref
3005
ref
appTerm
3007
def
absTerm
3008
def
1002
ref
appTerm
3009
def
betaConv
nil
68
ref
263
ref
68
ref
1001
ref
3004
ref
absTerm
3010
def
appTerm
3011
def
absTerm
3012
def
appTerm
3013
def
axiom
nil
110
ref
3013
remove
nil
cons
3014
def
cons
3015
def
111
ref
68
ref
3008
ref
appTerm
nil
cons
3016
def
cons
nil
cons
cons
nil
cons
cons
3017
def
175
ref
subst
proveHyp
3017
ref
126
ref
subst
3017
remove
194
ref
subst
nil
262
ref
3008
remove
nil
cons
cons
3018
def
nil
cons
nil
cons
cons
663
ref
subst
1001
ref
nil
139
ref
3007
remove
nil
cons
3019
def
cons
nil
cons
nil
cons
cons
146
ref
subst
nil
262
ref
3005
remove
nil
cons
cons
3020
def
nil
cons
nil
cons
cons
663
ref
subst
263
ref
nil
139
ref
3004
remove
nil
cons
3021
def
cons
nil
cons
nil
cons
cons
146
ref
subst
3010
ref
1002
ref
appTerm
3022
def
betaConv
3012
ref
627
ref
appTerm
3023
def
betaConv
nil
3015
remove
111
ref
3023
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
175
ref
subst
261
ref
262
ref
3012
remove
nil
cons
cons
263
ref
1165
ref
cons
nil
cons
3024
def
cons
nil
cons
cons
205
ref
subst
eqMp
eqMp
nil
110
ref
3011
remove
nil
cons
cons
111
ref
3022
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
175
ref
subst
proveHyp
261
ref
262
ref
3010
remove
nil
cons
cons
2495
ref
cons
nil
cons
cons
205
ref
subst
eqMp
eqMp
eqMp
absThm
eqMp
eqMp
absThm
eqMp
eqMp
nil
151
ref
3014
remove
cons
153
ref
3016
ref
cons
nil
cons
cons
nil
cons
cons
167
ref
subst
deductAntisym
eqMp
eqMp
nil
110
ref
3016
remove
cons
111
ref
3009
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
175
ref
subst
proveHyp
261
ref
3018
remove
2495
ref
cons
nil
cons
cons
205
ref
subst
eqMp
eqMp
nil
110
ref
3019
remove
cons
111
ref
3006
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
175
ref
subst
proveHyp
261
ref
3020
remove
3024
ref
cons
nil
cons
cons
205
ref
subst
eqMp
eqMp
nil
110
ref
3021
remove
cons
111
ref
3003
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
175
ref
subst
proveHyp
256
ref
257
ref
3002
remove
nil
cons
cons
2925
ref
cons
nil
cons
cons
205
ref
subst
eqMp
eqMp
subst
eqMp
eqMp
eqMp
absThm
eqMp
proveHyp
proveHyp
proveHyp
eqMp
nil
151
ref
2986
remove
cons
153
ref
2987
remove
cons
nil
cons
cons
nil
cons
cons
167
ref
subst
deductAntisym
eqMp
eqMp
absThm
eqMp
eqMp
absThm
eqMp
eqMp
absThm
eqMp
eqMp
absThm
eqMp
eqMp
nil
110
ref
49
ref
65
ref
2856
ref
2862
ref
2889
ref
appTerm
3025
def
2889
ref
appTerm
3026
def
absTerm
appTerm
appTerm
68
ref
2291
ref
99
ref
2313
ref
68
ref
2343
ref
99
ref
2360
ref
2906
remove
65
ref
2856
ref
2862
ref
2864
ref
2369
ref
appTerm
3027
def
2866
ref
appTerm
3028
def
appTerm
2864
ref
2322
ref
appTerm
2866
ref
appTerm
3029
def
appTerm
absTerm
appTerm
appTerm
absTerm
appTerm
absTerm
appTerm
absTerm
appTerm
absTerm
appTerm
appTerm
nil
cons
cons
111
ref
99
ref
29
ref
99
ref
26
ref
71
ref
1005
ref
appTerm
3030
def
2886
ref
appTerm
absTerm
appTerm
absTerm
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
175
ref
subst
proveHyp
226
ref
216
ref
29
ref
26
ref
2886
remove
absTerm
3031
def
absTerm
3032
def
20
ref
appTerm
betaConv
21
ref
appThm
26
ref
65
ref
2856
ref
2868
ref
2889
ref
appTerm
absTerm
appTerm
absTerm
20
ref
appTerm
betaConv
trans
appThm
225
ref
2291
ref
624
ref
2313
ref
225
ref
2343
ref
624
ref
2360
ref
226
ref
2895
ref
refl
3033
def
2897
remove
refl
3032
ref
2314
ref
appTerm
betaConv
2361
ref
refl
3034
def
appThm
26
ref
65
ref
2856
ref
2868
ref
2900
ref
appTerm
absTerm
appTerm
absTerm
2361
ref
appTerm
betaConv
trans
appThm
appThm
appThm
3032
ref
2322
ref
appTerm
betaConv
2369
ref
refl
3035
def
appThm
26
ref
65
ref
2856
ref
2868
remove
3029
ref
appTerm
absTerm
appTerm
absTerm
2369
ref
appTerm
betaConv
trans
appThm
absThm
appThm
absThm
appThm
absThm
appThm
absThm
appThm
appThm
appThm
624
ref
29
ref
624
ref
26
ref
3030
remove
refl
3032
ref
39
ref
appTerm
betaConv
998
ref
appThm
3031
remove
41
ref
appTerm
betaConv
trans
appThm
absThm
appThm
absThm
appThm
appThm
nil
"p"
7
remove
var
3036
def
3032
remove
nil
cons
cons
24
remove
cons
nil
cons
cons
nil
110
ref
49
ref
3036
ref
varTerm
3037
def
20
ref
appTerm
20
ref
appTerm
3038
def
appTerm
68
ref
2291
ref
99
ref
2313
ref
68
ref
2343
ref
99
ref
2360
ref
71
ref
49
ref
37
ref
2292
ref
appTerm
2344
ref
appTerm
3039
def
appTerm
3040
def
49
ref
38
ref
2314
ref
appTerm
2361
ref
appTerm
3041
def
appTerm
3037
ref
2314
ref
appTerm
2361
ref
appTerm
3042
def
appTerm
appTerm
3043
def
appTerm
3037
ref
2322
ref
appTerm
3044
def
2369
ref
appTerm
3045
def
appTerm
absTerm
3046
def
appTerm
3047
def
absTerm
3048
def
appTerm
3049
def
absTerm
3050
def
appTerm
3051
def
absTerm
3052
def
appTerm
3053
def
appTerm
3054
def
nil
cons
3055
def
cons
111
ref
99
ref
29
ref
99
ref
26
ref
71
ref
42
ref
appTerm
3056
def
3037
ref
39
ref
appTerm
41
ref
appTerm
3057
def
appTerm
3058
def
absTerm
3059
def
appTerm
3060
def
absTerm
3061
def
appTerm
3062
def
nil
cons
3063
def
cons
nil
cons
cons
nil
cons
cons
3064
def
126
ref
subst
3064
remove
194
ref
subst
nil
151
ref
3038
ref
nil
cons
3065
def
cons
153
ref
3053
remove
nil
cons
3066
def
cons
nil
cons
cons
nil
cons
cons
3067
def
167
ref
subst
3067
remove
334
ref
subst
nil
208
ref
3061
remove
nil
cons
cons
nil
cons
nil
cons
cons
643
ref
subst
29
ref
nil
139
ref
3060
remove
nil
cons
cons
nil
cons
nil
cons
cons
146
ref
subst
nil
208
ref
3059
remove
nil
cons
cons
nil
cons
nil
cons
cons
643
ref
subst
26
ref
nil
139
ref
3058
ref
nil
cons
3068
def
cons
nil
cons
nil
cons
cons
146
ref
subst
nil
110
ref
42
ref
nil
cons
3069
def
cons
111
ref
3057
ref
nil
cons
3070
def
cons
nil
cons
3071
def
cons
nil
cons
cons
3072
def
126
ref
subst
3072
ref
194
ref
subst
226
ref
214
ref
appThm
2198
ref
refl
3073
def
appThm
sym
nil
257
ref
48
ref
71
ref
94
ref
57
ref
appTerm
3074
def
appTerm
3075
def
2198
ref
appTerm
3076
def
absTerm
nil
cons
cons
nil
cons
nil
cons
cons
662
ref
subst
48
ref
nil
139
ref
3076
remove
nil
cons
cons
nil
cons
nil
cons
cons
146
ref
subst
nil
110
ref
3074
ref
nil
cons
3077
def
cons
3078
def
111
ref
2199
ref
cons
nil
cons
3079
def
cons
nil
cons
cons
3080
def
126
ref
subst
3080
remove
194
ref
subst
3074
ref
betaConv
3074
remove
assume
eqMp
3081
def
nil
110
ref
93
remove
nil
cons
3082
def
cons
3083
def
3079
ref
cons
nil
cons
cons
3084
def
175
ref
subst
proveHyp
3084
ref
126
ref
subst
3084
remove
194
ref
subst
nil
151
ref
58
ref
nil
cons
3085
def
cons
3086
def
153
ref
92
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
3087
def
167
ref
subst
3088
def
3087
remove
334
ref
subst
3089
def
nil
151
ref
1107
ref
cons
3090
def
153
ref
91
ref
nil
cons
3091
def
cons
nil
cons
3092
def
cons
nil
cons
cons
3093
def
167
ref
subst
3094
def
2202
ref
sym
216
ref
217
ref
58
ref
assume
3095
def
appThm
3096
def
222
ref
appThm
2416
ref
trans
3097
def
appThm
3098
def
217
ref
1124
remove
appThm
3099
def
222
ref
appThm
2416
ref
trans
3100
def
appThm
528
ref
trans
sym
145
ref
eqMp
eqMp
256
ref
2196
ref
293
ref
cons
nil
cons
cons
724
ref
subst
proveHyp
proveHyp
proveHyp
proveHyp
eqMp
nil
151
ref
3082
remove
cons
3101
def
153
ref
2199
ref
cons
nil
cons
3102
def
cons
nil
cons
cons
167
ref
subst
deductAntisym
eqMp
eqMp
eqMp
nil
151
ref
3077
remove
cons
3103
def
3102
ref
cons
nil
cons
cons
167
ref
subst
deductAntisym
eqMp
eqMp
absThm
eqMp
nil
110
ref
65
ref
258
ref
71
ref
94
ref
797
ref
appTerm
appTerm
3104
def
2198
ref
appTerm
absTerm
appTerm
nil
cons
cons
111
ref
71
ref
95
ref
appTerm
3105
def
2198
ref
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
175
ref
subst
proveHyp
256
ref
257
ref
94
ref
nil
cons
cons
3106
def
3102
ref
cons
nil
cons
cons
811
ref
subst
eqMp
eqMp
3107
def
nil
110
ref
3056
remove
2198
ref
appTerm
3108
def
nil
cons
3109
def
cons
3110
def
3071
ref
cons
nil
cons
cons
175
ref
subst
proveHyp
226
ref
226
ref
nil
139
ref
3069
ref
cons
nil
cons
nil
cons
cons
146
ref
subst
42
ref
assume
eqMp
appThm
3073
ref
appThm
nil
139
ref
2199
ref
cons
nil
cons
nil
cons
cons
3111
def
840
ref
subst
3112
def
trans
appThm
3113
def
3057
ref
refl
3114
def
appThm
155
ref
2203
remove
3114
ref
appThm
appThm
224
ref
48
ref
2205
remove
3114
ref
appThm
absThm
appThm
appThm
nil
2206
remove
3071
ref
cons
nil
cons
cons
1037
ref
subst
eqMp
trans
sym
nil
257
ref
48
ref
2207
ref
3057
ref
appTerm
3115
def
absTerm
nil
cons
cons
nil
cons
nil
cons
cons
662
ref
subst
48
ref
nil
139
ref
3115
remove
nil
cons
cons
nil
cons
nil
cons
cons
146
ref
subst
nil
110
ref
2189
ref
nil
cons
3116
def
cons
3117
def
3071
ref
cons
nil
cons
cons
3118
def
126
ref
subst
3118
remove
194
ref
subst
3072
remove
175
ref
subst
nil
3117
ref
111
ref
3068
remove
cons
nil
cons
cons
nil
cons
cons
175
ref
subst
nil
1340
ref
3070
ref
cons
3119
def
111
ref
3069
ref
cons
3120
def
3117
ref
nil
cons
cons
cons
nil
cons
cons
2239
ref
1341
ref
appTerm
3121
def
betaConv
2241
ref
114
remove
appTerm
3122
def
betaConv
2243
ref
112
remove
appTerm
3123
def
betaConv
2245
remove
nil
110
ref
2244
remove
nil
cons
cons
111
ref
3123
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
175
ref
subst
proveHyp
345
ref
346
ref
2243
remove
nil
cons
cons
2246
remove
cons
nil
cons
cons
205
ref
subst
eqMp
eqMp
nil
110
ref
2242
remove
nil
cons
cons
111
ref
3122
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
175
ref
subst
proveHyp
345
ref
346
ref
2241
remove
nil
cons
cons
1036
remove
cons
nil
cons
cons
205
ref
subst
eqMp
eqMp
nil
110
ref
2240
remove
nil
cons
cons
111
ref
3121
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
175
ref
subst
proveHyp
345
ref
346
ref
2239
remove
nil
cons
cons
2248
remove
cons
nil
cons
cons
205
ref
subst
eqMp
eqMp
3124
def
subst
226
ref
nil
"t3"
3
ref
var
3125
def
3069
ref
cons
"t2"
3
ref
var
3126
def
1107
ref
cons
"t1"
3
ref
var
3127
def
3085
ref
cons
nil
cons
3128
def
cons
cons
nil
cons
cons
3125
ref
36
ref
49
ref
49
ref
3127
ref
varTerm
3129
def
appTerm
3130
def
3126
ref
varTerm
3131
def
appTerm
appTerm
3125
ref
varTerm
3132
def
appTerm
3133
def
appTerm
3130
remove
49
ref
3131
ref
appTerm
3132
ref
appTerm
appTerm
3134
def
appTerm
3135
def
absTerm
3136
def
3132
ref
appTerm
3137
def
betaConv
3126
ref
343
ref
3136
ref
appTerm
3138
def
absTerm
3139
def
3131
ref
appTerm
3140
def
betaConv
3127
ref
343
ref
3139
ref
appTerm
3141
def
absTerm
3142
def
3129
ref
appTerm
3143
def
betaConv
nil
343
ref
3142
ref
appTerm
3144
def
axiom
3145
def
nil
110
ref
3144
remove
nil
cons
cons
111
ref
3143
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
175
ref
subst
proveHyp
345
ref
346
ref
3142
remove
nil
cons
cons
347
ref
3129
ref
nil
cons
cons
nil
cons
3146
def
cons
nil
cons
cons
205
ref
subst
eqMp
eqMp
nil
110
ref
3141
remove
nil
cons
cons
111
ref
3140
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
175
ref
subst
proveHyp
345
ref
346
ref
3139
remove
nil
cons
cons
347
ref
3131
ref
nil
cons
cons
nil
cons
3147
def
cons
nil
cons
cons
205
ref
subst
eqMp
eqMp
nil
110
ref
3138
remove
nil
cons
cons
111
ref
3137
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
175
ref
subst
proveHyp
345
ref
346
ref
3136
remove
nil
cons
cons
347
ref
3132
ref
nil
cons
cons
nil
cons
3148
def
cons
nil
cons
cons
205
ref
subst
eqMp
eqMp
3149
def
subst
appThm
3114
ref
appThm
trans
sym
26
ref
71
ref
59
ref
63
ref
42
ref
appTerm
appTerm
appTerm
3057
ref
appTerm
absTerm
3150
def
41
ref
appTerm
3151
def
betaConv
3152
def
29
ref
99
ref
3150
ref
appTerm
3153
def
absTerm
3154
def
39
ref
appTerm
3155
def
betaConv
3156
def
48
ref
99
ref
3154
ref
appTerm
3157
def
absTerm
3158
def
57
ref
appTerm
3159
def
betaConv
3160
def
nil
208
ref
29
ref
99
ref
26
ref
71
ref
2218
ref
49
ref
2219
remove
appTerm
3161
def
42
ref
appTerm
appTerm
appTerm
3057
ref
appTerm
3162
def
absTerm
3163
def
appTerm
3164
def
absTerm
3165
def
nil
cons
cons
nil
cons
nil
cons
cons
643
ref
subst
29
ref
nil
139
ref
3164
remove
nil
cons
cons
nil
cons
nil
cons
cons
146
ref
subst
nil
208
ref
3163
remove
nil
cons
cons
nil
cons
nil
cons
cons
643
ref
subst
26
ref
nil
139
ref
3162
remove
nil
cons
cons
nil
cons
nil
cons
cons
146
ref
subst
226
ref
216
ref
1051
ref
appThm
3166
def
216
ref
2250
ref
appThm
3167
def
42
ref
refl
appThm
appThm
appThm
3114
remove
appThm
sym
nil
110
ref
49
ref
280
remove
appTerm
3168
def
49
ref
2251
ref
appTerm
3169
def
42
ref
appTerm
3170
def
appTerm
nil
cons
3171
def
cons
3071
remove
cons
nil
cons
cons
3172
def
126
ref
subst
3172
remove
194
ref
subst
nil
1064
ref
153
ref
3170
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
3173
def
167
ref
subst
3173
remove
334
ref
subst
nil
2270
ref
153
ref
3069
ref
cons
nil
cons
cons
nil
cons
cons
167
ref
subst
3037
ref
refl
1063
ref
appThm
2269
ref
appThm
nil
139
ref
3065
remove
cons
nil
cons
nil
cons
cons
146
ref
subst
3038
remove
assume
eqMp
trans
sym
145
ref
eqMp
proveHyp
proveHyp
proveHyp
eqMp
nil
151
ref
3171
remove
cons
153
ref
3070
remove
cons
nil
cons
3174
def
cons
nil
cons
cons
167
ref
subst
deductAntisym
eqMp
eqMp
eqMp
absThm
eqMp
eqMp
absThm
eqMp
nil
110
ref
99
ref
3165
remove
appTerm
3175
def
nil
cons
cons
111
ref
65
ref
48
ref
71
ref
3157
ref
appTerm
99
ref
29
ref
99
ref
26
ref
71
ref
2272
ref
49
ref
2273
remove
appTerm
3176
def
42
ref
appTerm
3177
def
appTerm
appTerm
3057
remove
appTerm
3178
def
absTerm
3179
def
appTerm
3180
def
absTerm
3181
def
appTerm
3182
def
appTerm
3183
def
absTerm
3184
def
appTerm
3185
def
nil
cons
cons
nil
cons
cons
nil
cons
cons
194
ref
subst
proveHyp
nil
257
ref
3184
remove
nil
cons
cons
nil
cons
nil
cons
cons
662
ref
subst
48
ref
nil
139
ref
3183
remove
nil
cons
cons
nil
cons
nil
cons
cons
146
ref
subst
nil
110
ref
3157
remove
nil
cons
3186
def
cons
3187
def
111
ref
3182
remove
nil
cons
3188
def
cons
nil
cons
cons
nil
cons
cons
3189
def
126
ref
subst
3189
remove
194
ref
subst
nil
208
ref
3181
remove
nil
cons
cons
nil
cons
nil
cons
cons
643
ref
subst
29
ref
nil
139
ref
3180
remove
nil
cons
cons
nil
cons
nil
cons
cons
146
ref
subst
nil
208
ref
3179
remove
nil
cons
cons
nil
cons
nil
cons
cons
643
ref
subst
26
ref
nil
139
ref
3178
remove
nil
cons
cons
nil
cons
nil
cons
cons
146
ref
subst
nil
3119
ref
111
ref
3177
remove
nil
cons
cons
2288
ref
cons
cons
nil
cons
cons
2249
ref
subst
1095
ref
nil
3119
remove
3120
remove
110
ref
2287
remove
cons
nil
cons
3190
def
cons
cons
nil
cons
cons
2249
ref
subst
2290
ref
3058
ref
refl
appThm
trans
appThm
trans
sym
nil
262
ref
2291
ref
2294
ref
2299
ref
3058
remove
appTerm
3191
def
appTerm
3192
def
absTerm
nil
cons
cons
nil
cons
nil
cons
cons
663
ref
subst
2291
ref
nil
139
ref
3192
remove
nil
cons
cons
nil
cons
nil
cons
cons
146
ref
subst
nil
2303
ref
111
ref
3191
ref
nil
cons
3193
def
cons
nil
cons
3194
def
cons
nil
cons
cons
3195
def
126
ref
subst
3195
remove
194
ref
subst
2307
ref
nil
2312
ref
3194
ref
cons
nil
cons
cons
175
ref
subst
proveHyp
nil
208
ref
2313
ref
2316
ref
3191
ref
appTerm
3196
def
absTerm
nil
cons
cons
nil
cons
nil
cons
cons
643
ref
subst
2313
ref
nil
139
ref
3196
remove
nil
cons
cons
nil
cons
nil
cons
cons
146
ref
subst
nil
2319
ref
3194
ref
cons
nil
cons
cons
3197
def
126
ref
subst
3197
remove
194
ref
subst
2321
ref
nil
2328
ref
3194
remove
cons
nil
cons
cons
3198
def
175
ref
subst
proveHyp
3198
ref
126
ref
subst
3198
remove
194
ref
subst
2332
ref
2333
ref
36
ref
"_31950"
2
ref
var
3199
def
2299
ref
71
ref
38
ref
3199
remove
varTerm
3200
def
appTerm
41
ref
appTerm
appTerm
3037
remove
3200
remove
appTerm
41
ref
appTerm
appTerm
appTerm
absTerm
3201
def
39
ref
appTerm
3202
def
appTerm
refl
3201
ref
2322
ref
appTerm
betaConv
appThm
155
ref
3202
remove
betaConv
appThm
2299
ref
71
ref
38
ref
2322
ref
appTerm
3203
def
41
ref
appTerm
3204
def
appTerm
3205
def
3044
ref
41
ref
appTerm
appTerm
3206
def
appTerm
3207
def
refl
appThm
trans
3201
remove
refl
2342
ref
appThm
eqMp
sym
nil
262
ref
2343
ref
2346
ref
3206
ref
appTerm
3208
def
absTerm
nil
cons
cons
nil
cons
nil
cons
cons
663
ref
subst
2343
ref
nil
139
ref
3208
remove
nil
cons
cons
nil
cons
nil
cons
cons
146
ref
subst
nil
2349
ref
111
ref
3206
ref
nil
cons
3209
def
cons
nil
cons
3210
def
cons
nil
cons
cons
3211
def
126
ref
subst
3211
remove
194
ref
subst
2353
ref
nil
2359
ref
3210
ref
cons
nil
cons
cons
175
ref
subst
proveHyp
nil
208
ref
2360
ref
2363
ref
3206
ref
appTerm
3212
def
absTerm
nil
cons
cons
nil
cons
nil
cons
cons
643
ref
subst
2360
ref
nil
139
ref
3212
remove
nil
cons
cons
nil
cons
nil
cons
cons
146
ref
subst
nil
2366
ref
3210
ref
cons
nil
cons
cons
3213
def
126
ref
subst
3213
remove
194
ref
subst
2368
ref
nil
2376
ref
3210
remove
cons
nil
cons
cons
3214
def
175
ref
subst
proveHyp
3214
ref
126
ref
subst
3214
remove
194
ref
subst
2382
ref
2383
ref
36
ref
"_31958"
2
ref
var
3215
def
71
ref
3203
ref
3215
remove
varTerm
3216
def
appTerm
appTerm
3044
remove
3216
remove
appTerm
appTerm
absTerm
3217
def
41
ref
appTerm
3218
def
appTerm
refl
3217
ref
2369
ref
appTerm
betaConv
appThm
155
ref
3218
remove
betaConv
appThm
71
ref
3203
remove
2369
ref
appTerm
3219
def
appTerm
3220
def
3045
ref
appTerm
refl
appThm
trans
3217
remove
refl
2392
ref
appThm
eqMp
sym
226
ref
nil
110
ref
3219
ref
nil
cons
3221
def
cons
111
ref
3040
remove
3041
ref
appTerm
3222
def
nil
cons
3223
def
cons
nil
cons
cons
nil
cons
cons
3224
def
335
ref
subst
3224
ref
126
ref
subst
3224
remove
194
ref
subst
29
ref
725
ref
26
ref
47
ref
66
ref
49
ref
42
ref
appTerm
3225
def
49
ref
75
ref
2292
ref
appTerm
appTerm
3226
def
80
ref
2344
ref
appTerm
3227
def
appTerm
appTerm
absTerm
appTerm
absTerm
appTerm
absTerm
3228
def
2322
ref
appTerm
betaConv
sym
26
ref
47
ref
66
ref
49
ref
3204
remove
appTerm
3229
def
49
ref
72
ref
2322
ref
appTerm
74
ref
appTerm
2292
ref
appTerm
appTerm
3230
def
3227
ref
appTerm
appTerm
absTerm
appTerm
absTerm
3231
def
2369
ref
appTerm
betaConv
sym
66
ref
49
ref
3219
ref
appTerm
3232
def
3230
ref
72
ref
2369
ref
appTerm
74
ref
appTerm
2344
ref
appTerm
3233
def
appTerm
appTerm
absTerm
3234
def
220
ref
appTerm
betaConv
sym
216
ref
nil
139
ref
3221
ref
cons
nil
cons
nil
cons
cons
146
ref
subst
3219
ref
assume
eqMp
3235
def
appThm
3236
def
216
ref
nil
1170
ref
2436
ref
cons
2928
remove
cons
nil
cons
cons
1330
ref
subst
nil
2438
ref
nil
cons
cons
1388
ref
subst
3237
def
trans
appThm
3238
def
nil
1170
ref
2439
ref
cons
2909
ref
cons
nil
cons
cons
1330
ref
subst
nil
2441
ref
nil
cons
cons
1388
ref
subst
trans
3239
def
appThm
528
ref
trans
appThm
528
ref
trans
sym
145
ref
eqMp
eqMp
256
ref
257
ref
3234
remove
nil
cons
cons
1331
ref
cons
nil
cons
cons
724
ref
subst
proveHyp
eqMp
207
ref
208
ref
3231
remove
nil
cons
cons
29
ref
2369
ref
nil
cons
cons
nil
cons
3240
def
cons
nil
cons
cons
724
ref
subst
proveHyp
eqMp
207
ref
208
ref
3228
ref
nil
cons
cons
29
ref
2322
ref
nil
cons
cons
nil
cons
3241
def
cons
nil
cons
cons
724
ref
subst
proveHyp
nil
110
ref
725
ref
3228
remove
appTerm
nil
cons
cons
111
ref
3039
ref
nil
cons
3242
def
cons
nil
cons
cons
nil
cons
cons
175
ref
subst
proveHyp
nil
69
ref
2436
ref
cons
3243
def
70
ref
2439
ref
cons
3244
def
nil
cons
cons
nil
cons
cons
70
ref
71
ref
725
ref
29
ref
725
ref
26
ref
47
ref
66
ref
3225
ref
83
ref
appTerm
3245
def
absTerm
3246
def
appTerm
3247
def
absTerm
3248
def
appTerm
3249
def
absTerm
3250
def
appTerm
3251
def
appTerm
3252
def
85
ref
appTerm
3253
def
absTerm
3254
def
81
ref
appTerm
3255
def
betaConv
69
ref
68
ref
3254
ref
appTerm
3256
def
absTerm
3257
def
76
ref
appTerm
3258
def
betaConv
22
ref
68
ref
3257
ref
appTerm
3259
def
absTerm
3260
def
37
ref
appTerm
3261
def
betaConv
nil
178
ref
22
ref
99
ref
29
ref
99
ref
26
ref
65
ref
66
ref
68
ref
69
ref
68
ref
70
ref
71
ref
3245
ref
appTerm
85
ref
appTerm
3262
def
absTerm
3263
def
appTerm
3264
def
absTerm
3265
def
appTerm
3266
def
absTerm
3267
def
appTerm
3268
def
absTerm
3269
def
appTerm
3270
def
absTerm
3271
def
appTerm
3272
def
absTerm
3273
def
nil
cons
cons
3274
def
nil
cons
nil
cons
cons
1982
ref
subst
22
ref
nil
139
ref
3272
remove
nil
cons
3275
def
cons
nil
cons
nil
cons
cons
146
ref
subst
nil
208
ref
3271
ref
nil
cons
cons
3276
def
nil
cons
nil
cons
cons
643
ref
subst
29
ref
nil
139
ref
3270
remove
nil
cons
3277
def
cons
nil
cons
nil
cons
cons
146
ref
subst
nil
208
ref
3269
ref
nil
cons
cons
3278
def
nil
cons
nil
cons
cons
643
ref
subst
26
ref
nil
139
ref
3268
remove
nil
cons
3279
def
cons
nil
cons
nil
cons
cons
146
ref
subst
nil
257
ref
3267
ref
nil
cons
cons
3280
def
nil
cons
nil
cons
cons
662
ref
subst
66
ref
nil
139
ref
3266
remove
nil
cons
3281
def
cons
nil
cons
nil
cons
cons
146
ref
subst
nil
262
ref
3265
ref
nil
cons
cons
3282
def
nil
cons
nil
cons
cons
663
ref
subst
69
ref
nil
139
ref
3264
remove
nil
cons
3283
def
cons
nil
cons
nil
cons
cons
146
ref
subst
nil
262
ref
3263
ref
nil
cons
cons
3284
def
nil
cons
nil
cons
cons
663
ref
subst
70
ref
nil
139
ref
3262
remove
nil
cons
cons
nil
cons
nil
cons
cons
146
ref
subst
226
ref
216
ref
214
ref
appThm
3285
def
83
ref
refl
3286
def
appThm
appThm
376
remove
appThm
sym
nil
110
ref
49
ref
95
ref
appTerm
3287
def
83
ref
appTerm
nil
cons
3288
def
cons
665
ref
cons
nil
cons
cons
3289
def
126
ref
subst
3289
remove
194
ref
subst
nil
151
ref
95
ref
nil
cons
3290
def
cons
3291
def
153
ref
83
ref
nil
cons
3292
def
cons
nil
cons
cons
nil
cons
cons
3293
def
167
ref
subst
3293
remove
334
ref
subst
nil
110
ref
3290
ref
cons
3294
def
665
ref
cons
nil
cons
cons
175
ref
subst
nil
257
ref
48
ref
3075
ref
85
ref
appTerm
3295
def
absTerm
nil
cons
cons
nil
cons
nil
cons
cons
662
ref
subst
48
ref
nil
139
ref
3295
remove
nil
cons
cons
nil
cons
nil
cons
cons
146
ref
subst
nil
3078
ref
665
ref
cons
nil
cons
cons
3296
def
126
ref
subst
3296
remove
194
ref
subst
3081
ref
nil
3083
ref
665
ref
cons
nil
cons
cons
3297
def
175
ref
subst
proveHyp
3297
ref
126
ref
subst
3297
remove
194
ref
subst
3089
ref
3093
remove
334
ref
subst
3298
def
nil
110
ref
3292
ref
cons
3299
def
665
ref
cons
nil
cons
cons
175
ref
subst
86
ref
81
ref
appTerm
3300
def
betaConv
88
ref
76
ref
appTerm
3301
def
betaConv
90
ref
74
ref
appTerm
3302
def
betaConv
nil
110
ref
3091
ref
cons
3303
def
111
ref
3302
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
175
ref
subst
256
ref
257
ref
90
remove
nil
cons
cons
260
ref
cons
nil
cons
cons
205
ref
subst
eqMp
eqMp
nil
110
ref
89
remove
nil
cons
cons
111
ref
3301
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
175
ref
subst
proveHyp
261
ref
262
ref
88
remove
nil
cons
cons
824
ref
cons
nil
cons
cons
205
ref
subst
eqMp
eqMp
nil
110
ref
87
remove
nil
cons
cons
111
ref
3300
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
175
ref
subst
proveHyp
261
ref
262
ref
86
remove
nil
cons
cons
828
ref
cons
nil
cons
cons
205
ref
subst
eqMp
eqMp
eqMp
3304
def
proveHyp
proveHyp
eqMp
nil
3101
ref
850
ref
cons
nil
cons
cons
167
ref
subst
deductAntisym
eqMp
eqMp
eqMp
nil
3103
ref
850
ref
cons
nil
cons
cons
167
ref
subst
deductAntisym
eqMp
eqMp
absThm
eqMp
nil
110
ref
65
ref
258
ref
3104
ref
85
ref
appTerm
absTerm
appTerm
nil
cons
cons
111
ref
3105
ref
85
ref
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
175
ref
subst
proveHyp
256
ref
3106
ref
850
ref
cons
nil
cons
cons
811
ref
subst
eqMp
eqMp
proveHyp
proveHyp
eqMp
nil
151
ref
3288
remove
cons
850
ref
cons
nil
cons
cons
167
ref
subst
deductAntisym
eqMp
eqMp
3305
def
eqMp
absThm
eqMp
eqMp
absThm
eqMp
eqMp
absThm
eqMp
eqMp
absThm
eqMp
eqMp
absThm
eqMp
eqMp
absThm
eqMp
3306
def
nil
110
ref
108
ref
3273
ref
appTerm
3307
def
nil
cons
3308
def
cons
3309
def
111
ref
108
ref
3260
ref
appTerm
nil
cons
3310
def
cons
nil
cons
cons
nil
cons
cons
3311
def
175
ref
subst
proveHyp
3311
ref
126
ref
subst
3311
remove
194
ref
subst
nil
178
ref
3260
remove
nil
cons
cons
3312
def
nil
cons
nil
cons
cons
1982
ref
subst
22
ref
nil
139
ref
3259
remove
nil
cons
3313
def
cons
nil
cons
nil
cons
cons
146
ref
subst
nil
262
ref
3257
remove
nil
cons
cons
3314
def
nil
cons
nil
cons
cons
663
ref
subst
69
ref
nil
139
ref
3256
remove
nil
cons
3315
def
cons
nil
cons
nil
cons
cons
146
ref
subst
nil
262
ref
3254
remove
nil
cons
cons
3316
def
nil
cons
nil
cons
cons
663
ref
subst
70
ref
nil
139
ref
3253
remove
nil
cons
cons
nil
cons
nil
cons
cons
146
ref
subst
nil
110
ref
3251
remove
nil
cons
3317
def
cons
3318
def
665
ref
cons
nil
cons
cons
3319
def
126
ref
subst
3319
remove
194
ref
subst
nil
3309
ref
665
ref
cons
nil
cons
cons
3320
def
175
ref
subst
nil
3318
remove
111
ref
71
ref
3307
ref
appTerm
85
ref
appTerm
3321
def
nil
cons
3322
def
cons
nil
cons
3323
def
cons
nil
cons
cons
175
ref
subst
nil
208
ref
29
ref
71
ref
3250
ref
39
ref
appTerm
3324
def
appTerm
3321
ref
appTerm
3325
def
absTerm
3326
def
nil
cons
cons
nil
cons
nil
cons
cons
643
ref
subst
29
ref
nil
139
ref
3325
remove
nil
cons
cons
nil
cons
nil
cons
cons
146
ref
subst
nil
110
ref
3324
ref
nil
cons
3327
def
cons
3323
ref
cons
nil
cons
cons
3328
def
126
ref
subst
3328
remove
194
ref
subst
3324
ref
betaConv
3324
remove
assume
eqMp
nil
110
ref
3249
ref
nil
cons
cons
3323
ref
cons
nil
cons
cons
175
ref
subst
proveHyp
nil
208
ref
26
ref
71
ref
3248
ref
41
ref
appTerm
3329
def
appTerm
3321
ref
appTerm
3330
def
absTerm
nil
cons
cons
nil
cons
nil
cons
cons
643
ref
subst
26
ref
nil
139
ref
3330
remove
nil
cons
cons
nil
cons
nil
cons
cons
146
ref
subst
nil
110
ref
3329
ref
nil
cons
3331
def
cons
3323
ref
cons
nil
cons
cons
3332
def
126
ref
subst
3332
remove
194
ref
subst
3329
ref
betaConv
3329
remove
assume
eqMp
nil
110
ref
3247
ref
nil
cons
cons
3323
ref
cons
nil
cons
cons
175
ref
subst
proveHyp
nil
257
ref
66
ref
71
ref
3246
ref
74
ref
appTerm
3333
def
appTerm
3321
ref
appTerm
3334
def
absTerm
nil
cons
cons
nil
cons
nil
cons
cons
662
ref
subst
66
ref
nil
139
ref
3334
remove
nil
cons
cons
nil
cons
nil
cons
cons
146
ref
subst
nil
110
ref
3333
ref
nil
cons
3335
def
cons
3323
ref
cons
nil
cons
cons
3336
def
126
ref
subst
3336
remove
194
ref
subst
3333
ref
betaConv
3333
remove
assume
eqMp
nil
110
ref
3245
remove
nil
cons
3337
def
cons
3338
def
3323
remove
cons
nil
cons
cons
3339
def
175
ref
subst
proveHyp
3339
ref
126
ref
subst
3339
remove
194
ref
subst
3320
ref
126
ref
subst
3320
remove
194
ref
subst
nil
3338
remove
665
ref
cons
nil
cons
cons
175
ref
subst
3263
remove
81
ref
appTerm
3340
def
betaConv
3265
remove
76
ref
appTerm
3341
def
betaConv
3267
remove
74
ref
appTerm
3342
def
betaConv
3269
remove
41
ref
appTerm
3343
def
betaConv
3271
remove
39
ref
appTerm
3344
def
betaConv
3273
remove
37
ref
appTerm
3345
def
betaConv
nil
3309
remove
111
ref
3345
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
175
ref
subst
177
ref
3274
remove
180
ref
cons
nil
cons
cons
205
ref
subst
eqMp
eqMp
nil
110
ref
3275
remove
cons
111
ref
3344
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
175
ref
subst
proveHyp
207
ref
3276
remove
210
ref
cons
nil
cons
cons
205
ref
subst
eqMp
eqMp
nil
110
ref
3277
remove
cons
111
ref
3343
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
175
ref
subst
proveHyp
207
ref
3278
remove
213
ref
cons
nil
cons
cons
205
ref
subst
eqMp
eqMp
nil
110
ref
3279
remove
cons
111
ref
3342
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
175
ref
subst
proveHyp
256
ref
3280
remove
260
ref
cons
nil
cons
cons
205
ref
subst
eqMp
eqMp
nil
110
ref
3281
remove
cons
111
ref
3341
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
175
ref
subst
proveHyp
261
ref
3282
remove
824
ref
cons
nil
cons
cons
205
ref
subst
eqMp
eqMp
nil
110
ref
3283
remove
cons
111
ref
3340
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
175
ref
subst
proveHyp
261
ref
3284
remove
828
ref
cons
nil
cons
cons
205
ref
subst
eqMp
eqMp
eqMp
eqMp
nil
151
ref
3308
remove
cons
3346
def
850
ref
cons
nil
cons
cons
167
ref
subst
deductAntisym
eqMp
eqMp
nil
151
ref
3337
remove
cons
153
ref
3322
remove
cons
nil
cons
3347
def
cons
nil
cons
cons
167
ref
subst
deductAntisym
eqMp
eqMp
eqMp
nil
151
ref
3335
remove
cons
3347
ref
cons
nil
cons
cons
167
ref
subst
deductAntisym
eqMp
eqMp
absThm
eqMp
nil
110
ref
65
ref
258
ref
71
ref
3246
ref
797
ref
appTerm
appTerm
3321
ref
appTerm
absTerm
appTerm
nil
cons
cons
111
ref
71
ref
3247
remove
appTerm
3321
ref
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
175
ref
subst
proveHyp
256
ref
257
ref
3246
remove
nil
cons
cons
3347
ref
cons
nil
cons
cons
811
ref
subst
eqMp
eqMp
eqMp
nil
151
ref
3331
remove
cons
3347
ref
cons
nil
cons
cons
167
ref
subst
deductAntisym
eqMp
eqMp
absThm
eqMp
nil
110
ref
99
ref
1892
ref
71
ref
3248
ref
1893
ref
appTerm
appTerm
3321
ref
appTerm
absTerm
appTerm
nil
cons
cons
111
ref
71
ref
3249
remove
appTerm
3321
ref
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
175
ref
subst
proveHyp
207
ref
208
ref
3248
remove
nil
cons
cons
3347
ref
cons
nil
cons
cons
811
ref
subst
eqMp
eqMp
eqMp
nil
151
ref
3327
remove
cons
3347
ref
cons
nil
cons
cons
167
ref
subst
deductAntisym
eqMp
eqMp
absThm
eqMp
nil
110
ref
99
ref
3326
remove
appTerm
nil
cons
cons
111
ref
3252
remove
3321
remove
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
175
ref
subst
proveHyp
207
ref
208
ref
3250
remove
nil
cons
cons
3347
remove
cons
nil
cons
cons
811
ref
subst
eqMp
eqMp
eqMp
eqMp
nil
151
ref
3317
remove
cons
850
ref
cons
nil
cons
cons
167
ref
subst
deductAntisym
eqMp
eqMp
absThm
eqMp
eqMp
absThm
eqMp
eqMp
absThm
eqMp
eqMp
nil
3346
remove
153
ref
3310
ref
cons
nil
cons
cons
nil
cons
cons
167
ref
subst
deductAntisym
eqMp
eqMp
nil
110
ref
3310
remove
cons
111
ref
3261
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
175
ref
subst
proveHyp
177
ref
3312
remove
180
ref
cons
nil
cons
cons
205
ref
subst
eqMp
eqMp
nil
110
ref
3313
remove
cons
111
ref
3258
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
175
ref
subst
proveHyp
261
ref
3314
remove
824
ref
cons
nil
cons
cons
205
ref
subst
eqMp
eqMp
nil
110
ref
3315
remove
cons
111
ref
3255
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
175
ref
subst
proveHyp
261
ref
3316
remove
828
ref
cons
nil
cons
cons
205
ref
subst
eqMp
eqMp
subst
eqMp
nil
110
ref
3242
ref
cons
111
ref
3041
ref
nil
cons
3348
def
cons
nil
cons
3349
def
cons
nil
cons
cons
194
ref
subst
proveHyp
26
ref
3205
remove
47
ref
48
ref
49
ref
52
ref
54
ref
2322
ref
appTerm
3350
def
appTerm
3351
def
57
ref
appTerm
appTerm
3352
def
62
ref
appTerm
absTerm
appTerm
appTerm
absTerm
3353
def
2369
ref
appTerm
3354
def
betaConv
29
ref
99
ref
26
ref
3108
remove
absTerm
3355
def
appTerm
3356
def
absTerm
3357
def
2322
ref
appTerm
3358
def
betaConv
nil
208
ref
3357
ref
nil
cons
cons
3359
def
nil
cons
nil
cons
cons
643
ref
subst
29
ref
nil
139
ref
3356
remove
nil
cons
cons
nil
cons
nil
cons
cons
146
ref
subst
nil
208
ref
3355
remove
nil
cons
cons
nil
cons
nil
cons
cons
643
ref
subst
26
ref
nil
139
ref
3109
remove
cons
nil
cons
nil
cons
cons
146
ref
subst
3107
ref
eqMp
absThm
eqMp
eqMp
absThm
eqMp
3360
def
nil
110
ref
99
ref
3357
remove
appTerm
3361
def
nil
cons
3362
def
cons
111
ref
3358
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
175
ref
subst
proveHyp
207
ref
3359
remove
3241
ref
cons
nil
cons
cons
205
ref
subst
eqMp
eqMp
nil
110
ref
99
ref
3353
ref
appTerm
nil
cons
cons
111
ref
3354
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
175
ref
subst
proveHyp
207
ref
208
ref
3353
remove
nil
cons
cons
3240
ref
cons
nil
cons
cons
205
ref
subst
eqMp
eqMp
nil
110
ref
3220
ref
47
ref
48
ref
3352
ref
52
ref
54
ref
2369
ref
appTerm
appTerm
57
ref
appTerm
3363
def
appTerm
absTerm
appTerm
appTerm
nil
cons
cons
3349
ref
cons
nil
cons
cons
175
ref
subst
proveHyp
226
ref
226
ref
3235
remove
appThm
215
ref
48
ref
216
ref
217
ref
nil
26
ref
2402
ref
cons
29
ref
2553
remove
cons
nil
cons
cons
3364
def
nil
cons
cons
1580
ref
subst
3365
def
1288
ref
nil
2461
remove
nil
cons
cons
1162
ref
subst
3366
def
306
ref
trans
appThm
2324
ref
refl
3367
def
appThm
nil
48
ref
2324
ref
nil
cons
3368
def
cons
3369
def
493
ref
298
remove
cons
nil
cons
3370
def
cons
nil
cons
cons
48
ref
52
ref
456
ref
1223
ref
appTerm
57
ref
appTerm
appTerm
300
ref
498
ref
appTerm
3371
def
appTerm
absTerm
3372
def
57
ref
appTerm
3373
def
betaConv
493
ref
65
ref
3372
ref
appTerm
3374
def
absTerm
3375
def
496
ref
appTerm
3376
def
betaConv
nil
65
ref
3375
ref
appTerm
3377
def
axiom
nil
110
ref
3377
remove
nil
cons
cons
111
ref
3376
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
175
ref
subst
proveHyp
256
ref
257
ref
3375
remove
nil
cons
cons
509
ref
cons
nil
cons
cons
205
ref
subst
eqMp
eqMp
nil
110
ref
3374
remove
nil
cons
cons
111
ref
3373
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
175
ref
subst
proveHyp
256
ref
257
ref
3372
remove
nil
cons
cons
293
ref
cons
nil
cons
cons
205
ref
subst
eqMp
eqMp
3378
def
subst
305
ref
nil
3369
ref
nil
cons
nil
cons
cons
3379
def
48
ref
52
ref
456
ref
220
ref
appTerm
57
ref
appTerm
appTerm
57
ref
appTerm
absTerm
3380
def
57
ref
appTerm
3381
def
betaConv
nil
65
ref
3380
ref
appTerm
3382
def
axiom
nil
110
ref
3382
remove
nil
cons
cons
111
ref
3381
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
175
ref
subst
proveHyp
256
ref
257
ref
3380
remove
nil
cons
cons
293
ref
cons
nil
cons
cons
205
ref
subst
eqMp
eqMp
3383
def
subst
appThm
trans
trans
trans
appThm
222
ref
appThm
appThm
3384
def
217
ref
nil
26
ref
2405
ref
cons
3385
def
29
ref
2551
remove
cons
nil
cons
cons
3386
def
nil
cons
cons
1580
ref
subst
1288
ref
nil
2908
remove
nil
cons
cons
1162
ref
subst
3387
def
306
ref
trans
appThm
2372
ref
refl
appThm
nil
48
ref
2372
ref
nil
cons
3388
def
cons
3389
def
3370
ref
cons
nil
cons
cons
3378
ref
subst
305
ref
nil
3389
remove
nil
cons
nil
cons
cons
3390
def
3383
ref
subst
appThm
trans
trans
trans
appThm
222
ref
appThm
3391
def
appThm
absThm
appThm
appThm
nil
139
ref
47
ref
48
ref
49
ref
52
ref
300
ref
2324
ref
appTerm
3392
def
appTerm
3393
def
57
ref
appTerm
appTerm
3394
def
52
ref
300
ref
2372
ref
appTerm
appTerm
3395
def
57
ref
appTerm
3396
def
appTerm
absTerm
3397
def
appTerm
3398
def
nil
cons
cons
nil
cons
nil
cons
cons
840
ref
subst
trans
appThm
3041
ref
refl
3399
def
appThm
sym
nil
257
ref
493
ref
71
ref
3397
ref
496
ref
appTerm
3400
def
appTerm
3041
ref
appTerm
3401
def
absTerm
nil
cons
cons
nil
cons
nil
cons
cons
662
ref
subst
493
ref
nil
139
ref
3401
remove
nil
cons
cons
nil
cons
nil
cons
cons
146
ref
subst
nil
110
ref
3400
ref
nil
cons
3402
def
cons
3349
ref
cons
nil
cons
cons
3403
def
126
ref
subst
3403
remove
194
ref
subst
3400
ref
betaConv
3400
remove
assume
eqMp
nil
110
ref
49
ref
3393
ref
496
ref
appTerm
appTerm
3404
def
3395
ref
496
ref
appTerm
3405
def
appTerm
3406
def
nil
cons
cons
3349
ref
cons
nil
cons
cons
175
ref
subst
proveHyp
1190
remove
496
ref
appTerm
3407
def
betaConv
1193
remove
nil
1194
remove
111
ref
3407
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
175
ref
subst
proveHyp
256
ref
1195
remove
509
ref
cons
nil
cons
cons
205
ref
subst
eqMp
eqMp
3408
def
nil
110
ref
1189
remove
nil
cons
3409
def
cons
3410
def
111
ref
71
ref
3406
remove
appTerm
3041
ref
appTerm
3411
def
nil
cons
3412
def
cons
nil
cons
3413
def
cons
nil
cons
cons
3414
def
175
ref
subst
proveHyp
3414
ref
126
ref
subst
3414
remove
194
ref
subst
nil
257
ref
48
ref
71
ref
1187
ref
57
ref
appTerm
3415
def
appTerm
3416
def
3411
ref
appTerm
3417
def
absTerm
nil
cons
cons
nil
cons
nil
cons
cons
662
ref
subst
48
ref
nil
139
ref
3417
remove
nil
cons
cons
nil
cons
nil
cons
cons
146
ref
subst
nil
110
ref
3415
ref
nil
cons
3418
def
cons
3419
def
3413
ref
cons
nil
cons
cons
3420
def
126
ref
subst
3420
remove
194
ref
subst
3415
ref
betaConv
3415
remove
assume
eqMp
3421
def
nil
110
ref
1186
ref
nil
cons
3422
def
cons
3423
def
3413
ref
cons
nil
cons
cons
3424
def
175
ref
subst
proveHyp
3424
ref
126
ref
subst
3424
remove
194
ref
subst
36
ref
"_31940"
44
ref
var
3425
def
71
ref
49
ref
3393
ref
3425
remove
varTerm
3426
def
appTerm
appTerm
3395
ref
3426
remove
appTerm
appTerm
appTerm
3041
ref
appTerm
absTerm
3427
def
496
ref
appTerm
3428
def
appTerm
refl
3429
def
3427
ref
309
ref
appTerm
betaConv
appThm
155
ref
3428
remove
betaConv
appThm
3430
def
71
ref
49
ref
3393
ref
309
ref
appTerm
appTerm
3431
def
3395
ref
309
ref
appTerm
3432
def
appTerm
appTerm
3041
ref
appTerm
refl
appThm
trans
3427
remove
refl
3433
def
1186
remove
assume
3434
def
appThm
eqMp
sym
226
ref
216
ref
nil
493
ref
3368
ref
cons
nil
cons
nil
cons
cons
3435
def
48
ref
36
ref
1224
ref
309
ref
appTerm
appTerm
500
remove
57
ref
appTerm
3436
def
appTerm
absTerm
3437
def
57
ref
appTerm
3438
def
betaConv
493
ref
65
ref
3437
ref
appTerm
3439
def
absTerm
3440
def
496
ref
appTerm
3441
def
betaConv
nil
65
ref
3440
ref
appTerm
3442
def
axiom
nil
110
ref
3442
remove
nil
cons
cons
111
ref
3441
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
175
ref
subst
proveHyp
256
ref
257
ref
3440
remove
nil
cons
cons
509
ref
cons
nil
cons
cons
205
ref
subst
eqMp
eqMp
nil
110
ref
3439
remove
nil
cons
cons
111
ref
3438
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
175
ref
subst
proveHyp
256
ref
257
ref
3437
remove
nil
cons
cons
293
ref
cons
nil
cons
cons
205
ref
subst
eqMp
eqMp
3443
def
subst
appThm
3444
def
nil
493
ref
3388
remove
cons
nil
cons
nil
cons
cons
3443
ref
subst
3445
def
appThm
appThm
3399
ref
appThm
sym
nil
110
ref
2408
remove
nil
cons
3446
def
cons
3447
def
3349
ref
cons
nil
cons
cons
3448
def
126
ref
subst
3448
remove
194
ref
subst
nil
151
ref
2330
remove
cons
3449
def
2380
remove
cons
nil
cons
cons
3450
def
167
ref
subst
3450
remove
334
ref
subst
29
ref
725
ref
26
ref
47
ref
271
ref
47
ref
48
ref
3225
ref
49
ref
699
ref
2314
ref
appTerm
appTerm
3451
def
1262
ref
2361
ref
appTerm
3452
def
appTerm
appTerm
absTerm
appTerm
absTerm
appTerm
absTerm
appTerm
absTerm
3453
def
2322
ref
appTerm
betaConv
sym
26
ref
47
ref
271
ref
47
ref
48
ref
3229
remove
49
ref
235
ref
2322
ref
appTerm
3454
def
275
ref
appTerm
57
ref
appTerm
2314
ref
appTerm
appTerm
3455
def
3452
ref
appTerm
appTerm
absTerm
appTerm
absTerm
appTerm
absTerm
3456
def
2369
ref
appTerm
betaConv
sym
271
ref
47
ref
48
ref
3232
ref
3455
ref
235
ref
2369
ref
appTerm
3457
def
275
ref
appTerm
57
ref
appTerm
2361
ref
appTerm
3458
def
appTerm
appTerm
absTerm
appTerm
absTerm
3459
def
240
ref
appTerm
betaConv
sym
48
ref
3232
remove
49
ref
3454
ref
240
ref
appTerm
3460
def
57
ref
appTerm
2314
ref
appTerm
3461
def
appTerm
3462
def
3457
ref
240
ref
appTerm
3463
def
57
ref
appTerm
2361
ref
appTerm
3464
def
appTerm
3465
def
appTerm
absTerm
3466
def
57
ref
appTerm
betaConv
sym
nil
3125
ref
3464
ref
nil
cons
3467
def
cons
3126
ref
3461
ref
nil
cons
3468
def
cons
3469
def
3127
ref
3221
ref
cons
nil
cons
cons
cons
nil
cons
cons
3125
ref
36
ref
3134
remove
appTerm
3133
remove
appTerm
3470
def
absTerm
3471
def
3132
remove
appTerm
3472
def
betaConv
3126
ref
343
ref
3471
ref
appTerm
3473
def
absTerm
3474
def
3131
remove
appTerm
3475
def
betaConv
3127
ref
343
ref
3474
ref
appTerm
3476
def
absTerm
3477
def
3129
remove
appTerm
3478
def
betaConv
2237
ref
3127
ref
2237
ref
3126
ref
2237
ref
3125
ref
3470
remove
assume
sym
3135
remove
assume
sym
deductAntisym
absThm
appThm
absThm
appThm
absThm
appThm
3145
remove
eqMp
nil
110
ref
343
ref
3477
ref
appTerm
nil
cons
cons
111
ref
3478
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
175
ref
subst
proveHyp
345
ref
346
ref
3477
remove
nil
cons
cons
3146
remove
cons
nil
cons
cons
205
ref
subst
eqMp
eqMp
nil
110
ref
3476
remove
nil
cons
cons
111
ref
3475
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
175
ref
subst
proveHyp
345
ref
346
ref
3474
remove
nil
cons
cons
3147
remove
cons
nil
cons
cons
205
ref
subst
eqMp
eqMp
nil
110
ref
3473
remove
nil
cons
cons
111
ref
3472
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
175
ref
subst
proveHyp
345
ref
346
ref
3471
remove
nil
cons
cons
3148
remove
cons
nil
cons
cons
205
ref
subst
eqMp
eqMp
3479
def
subst
216
ref
3236
remove
3461
ref
refl
3480
def
appThm
nil
139
ref
3468
ref
cons
nil
cons
nil
cons
cons
527
ref
subst
3481
def
trans
appThm
3464
ref
refl
3482
def
appThm
trans
sym
36
ref
"_31946"
44
ref
var
3483
def
3460
ref
3483
remove
varTerm
appTerm
2314
ref
appTerm
absTerm
3484
def
57
ref
appTerm
3485
def
appTerm
refl
3484
ref
2324
ref
appTerm
betaConv
appThm
155
ref
3485
remove
betaConv
appThm
3460
remove
2324
ref
appTerm
2314
ref
appTerm
refl
appThm
trans
3484
remove
refl
2415
remove
sym
appThm
eqMp
sym
3366
ref
36
ref
"_31948"
44
ref
var
3486
def
3454
ref
3486
remove
varTerm
appTerm
2324
ref
appTerm
2314
ref
appTerm
absTerm
3487
def
240
ref
appTerm
3488
def
appTerm
refl
3487
ref
54
ref
2308
remove
appTerm
3489
def
appTerm
betaConv
appThm
155
ref
3488
remove
betaConv
appThm
3454
remove
3489
ref
appTerm
2324
ref
appTerm
2314
ref
appTerm
refl
appThm
trans
3487
remove
refl
52
ref
3489
remove
appTerm
240
ref
appTerm
assume
sym
appThm
eqMp
sym
nil
542
ref
2402
ref
cons
3364
remove
cons
nil
cons
cons
542
ref
36
ref
1267
remove
55
ref
appTerm
60
ref
appTerm
547
ref
appTerm
appTerm
1311
ref
41
ref
appTerm
appTerm
absTerm
3490
def
547
ref
appTerm
3491
def
betaConv
26
ref
99
ref
3490
ref
appTerm
3492
def
absTerm
3493
def
41
ref
appTerm
3494
def
betaConv
29
ref
99
ref
3493
ref
appTerm
3495
def
absTerm
3496
def
39
ref
appTerm
3497
def
betaConv
nil
99
ref
3496
ref
appTerm
3498
def
axiom
nil
110
ref
3498
remove
nil
cons
cons
111
ref
3497
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
175
ref
subst
proveHyp
207
ref
208
ref
3496
remove
nil
cons
cons
210
ref
cons
nil
cons
cons
205
ref
subst
eqMp
eqMp
nil
110
ref
3495
remove
nil
cons
cons
111
ref
3494
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
175
ref
subst
proveHyp
207
ref
208
ref
3493
remove
nil
cons
cons
213
ref
cons
nil
cons
cons
205
ref
subst
eqMp
eqMp
nil
110
ref
3492
remove
nil
cons
cons
111
ref
3491
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
175
ref
subst
proveHyp
207
ref
208
ref
3490
remove
nil
cons
cons
595
ref
cons
nil
cons
cons
205
ref
subst
eqMp
eqMp
3499
def
subst
nil
2404
ref
nil
cons
cons
641
remove
488
remove
subst
3500
def
subst
3501
def
trans
sym
145
ref
eqMp
eqMp
proveHyp
eqMp
3502
def
nil
110
ref
3468
ref
cons
111
ref
3467
ref
cons
nil
cons
3503
def
cons
nil
cons
cons
194
ref
subst
proveHyp
36
ref
"_31942"
44
ref
var
3504
def
3463
ref
3504
remove
varTerm
appTerm
2361
ref
appTerm
absTerm
3505
def
57
ref
appTerm
3506
def
appTerm
refl
3505
ref
2372
ref
appTerm
betaConv
appThm
155
ref
3506
remove
betaConv
appThm
3463
remove
2372
ref
appTerm
2361
ref
appTerm
refl
appThm
trans
3505
remove
refl
2419
remove
sym
appThm
eqMp
sym
3387
remove
36
ref
"_31944"
44
ref
var
3507
def
3457
ref
3507
remove
varTerm
appTerm
2372
ref
appTerm
2361
ref
appTerm
absTerm
3508
def
240
ref
appTerm
3509
def
appTerm
refl
3508
ref
54
ref
2354
remove
appTerm
3510
def
appTerm
betaConv
appThm
155
ref
3509
remove
betaConv
appThm
3457
remove
3510
ref
appTerm
2372
remove
appTerm
2361
ref
appTerm
refl
appThm
trans
3508
remove
refl
52
ref
3510
remove
appTerm
240
ref
appTerm
assume
sym
appThm
eqMp
sym
nil
542
ref
2405
ref
cons
3386
remove
cons
nil
cons
cons
3499
ref
subst
nil
2407
ref
nil
cons
cons
3500
ref
subst
trans
sym
145
ref
eqMp
eqMp
proveHyp
eqMp
3511
def
eqMp
3512
def
eqMp
eqMp
256
ref
257
ref
3466
remove
nil
cons
cons
293
ref
cons
nil
cons
cons
724
ref
subst
proveHyp
eqMp
256
ref
257
ref
3459
remove
nil
cons
cons
704
ref
cons
nil
cons
cons
724
ref
subst
proveHyp
eqMp
207
ref
208
ref
3456
remove
nil
cons
cons
3240
ref
cons
nil
cons
cons
724
ref
subst
proveHyp
eqMp
207
ref
208
ref
3453
ref
nil
cons
cons
3241
ref
cons
nil
cons
cons
724
ref
subst
proveHyp
nil
110
ref
725
ref
3453
remove
appTerm
nil
cons
cons
3349
remove
cons
nil
cons
cons
175
ref
subst
proveHyp
nil
"ys"
2
ref
var
3513
def
2405
ref
cons
3514
def
"xs"
2
ref
var
3515
def
2402
ref
cons
3516
def
nil
cons
cons
3517
def
nil
cons
cons
3513
ref
71
ref
725
ref
29
ref
725
ref
26
ref
47
ref
271
ref
47
ref
48
ref
3225
ref
49
ref
699
ref
3515
ref
varTerm
3518
def
appTerm
3519
def
appTerm
3520
def
1262
ref
3513
ref
varTerm
3521
def
appTerm
3522
def
appTerm
3523
def
appTerm
3524
def
absTerm
3525
def
appTerm
3526
def
absTerm
3527
def
appTerm
3528
def
absTerm
3529
def
appTerm
3530
def
absTerm
3531
def
appTerm
3532
def
appTerm
3533
def
38
ref
3518
ref
appTerm
3521
ref
appTerm
3534
def
appTerm
3535
def
absTerm
3536
def
3521
ref
appTerm
3537
def
betaConv
3515
ref
99
ref
3536
ref
appTerm
3538
def
absTerm
3539
def
3518
ref
appTerm
3540
def
betaConv
22
ref
99
ref
3539
ref
appTerm
3541
def
absTerm
3542
def
37
ref
appTerm
3543
def
betaConv
nil
178
ref
22
ref
99
ref
29
ref
99
ref
26
ref
65
ref
271
ref
65
ref
48
ref
99
ref
3515
ref
99
ref
3513
ref
71
ref
3524
ref
appTerm
3534
ref
appTerm
3544
def
absTerm
3545
def
appTerm
3546
def
absTerm
3547
def
appTerm
3548
def
absTerm
3549
def
appTerm
3550
def
absTerm
3551
def
appTerm
3552
def
absTerm
3553
def
appTerm
3554
def
absTerm
3555
def
appTerm
3556
def
absTerm
3557
def
nil
cons
cons
3558
def
nil
cons
nil
cons
cons
1982
ref
subst
22
ref
nil
139
ref
3556
remove
nil
cons
3559
def
cons
nil
cons
nil
cons
cons
146
ref
subst
nil
208
ref
3555
ref
nil
cons
cons
3560
def
nil
cons
nil
cons
cons
643
ref
subst
29
ref
nil
139
ref
3554
remove
nil
cons
3561
def
cons
nil
cons
nil
cons
cons
146
ref
subst
nil
208
ref
3553
ref
nil
cons
cons
3562
def
nil
cons
nil
cons
cons
643
ref
subst
26
ref
nil
139
ref
3552
remove
nil
cons
3563
def
cons
nil
cons
nil
cons
cons
146
ref
subst
nil
257
ref
3551
ref
nil
cons
cons
3564
def
nil
cons
nil
cons
cons
662
ref
subst
271
ref
nil
139
ref
3550
remove
nil
cons
3565
def
cons
nil
cons
nil
cons
cons
146
ref
subst
nil
257
ref
3549
ref
nil
cons
cons
3566
def
nil
cons
nil
cons
cons
662
ref
subst
48
ref
nil
139
ref
3548
remove
nil
cons
3567
def
cons
nil
cons
nil
cons
cons
146
ref
subst
nil
208
ref
3547
ref
nil
cons
cons
3568
def
nil
cons
nil
cons
cons
643
ref
subst
3515
ref
nil
139
ref
3546
remove
nil
cons
3569
def
cons
nil
cons
nil
cons
cons
146
ref
subst
nil
208
ref
3545
ref
nil
cons
cons
3570
def
nil
cons
nil
cons
cons
643
ref
subst
3513
ref
nil
139
ref
3544
remove
nil
cons
cons
nil
cons
nil
cons
cons
146
ref
subst
226
ref
3285
remove
3523
ref
refl
3571
def
appThm
appThm
nil
26
ref
3521
ref
nil
cons
3572
def
cons
3573
def
29
ref
3518
ref
nil
cons
3574
def
cons
3575
def
nil
cons
3576
def
cons
3577
def
nil
cons
cons
214
ref
subst
appThm
sym
nil
110
ref
3287
remove
3523
ref
appTerm
nil
cons
3578
def
cons
111
ref
47
ref
48
ref
49
ref
52
ref
54
ref
3518
ref
appTerm
appTerm
57
ref
appTerm
3579
def
appTerm
3580
def
49
ref
52
ref
54
ref
3521
ref
appTerm
appTerm
57
ref
appTerm
3581
def
appTerm
3582
def
65
ref
66
ref
68
ref
69
ref
68
ref
70
ref
71
ref
49
ref
72
ref
3518
ref
appTerm
74
ref
appTerm
76
ref
appTerm
3583
def
appTerm
3584
def
72
ref
3521
ref
appTerm
74
ref
appTerm
81
ref
appTerm
3585
def
appTerm
3586
def
appTerm
85
ref
appTerm
3587
def
absTerm
3588
def
appTerm
3589
def
absTerm
3590
def
appTerm
3591
def
absTerm
3592
def
appTerm
3593
def
appTerm
3594
def
appTerm
absTerm
3595
def
appTerm
3596
def
nil
cons
3597
def
cons
nil
cons
3598
def
cons
nil
cons
cons
3599
def
126
ref
subst
3599
remove
194
ref
subst
nil
3291
remove
153
ref
3523
ref
nil
cons
cons
nil
cons
cons
nil
cons
cons
3600
def
167
ref
subst
3600
remove
334
ref
subst
nil
3294
ref
3598
ref
cons
nil
cons
cons
175
ref
subst
nil
257
ref
493
ref
71
ref
94
remove
496
ref
appTerm
3601
def
appTerm
3596
ref
appTerm
3602
def
absTerm
nil
cons
cons
nil
cons
nil
cons
cons
662
ref
subst
493
ref
nil
139
ref
3602
remove
nil
cons
cons
nil
cons
nil
cons
cons
146
ref
subst
nil
110
ref
3601
ref
nil
cons
3603
def
cons
3598
ref
cons
nil
cons
cons
3604
def
126
ref
subst
3604
remove
194
ref
subst
3601
ref
betaConv
3601
remove
assume
eqMp
nil
110
ref
49
ref
1019
ref
appTerm
3605
def
49
ref
61
ref
496
ref
appTerm
3606
def
appTerm
3607
def
91
ref
appTerm
3608
def
appTerm
nil
cons
3609
def
cons
3598
remove
cons
nil
cons
cons
3610
def
175
ref
subst
proveHyp
3610
ref
126
ref
subst
3610
remove
194
ref
subst
nil
151
ref
1019
ref
nil
cons
3611
def
cons
3612
def
153
ref
3608
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
334
ref
subst
nil
151
ref
3606
ref
nil
cons
3613
def
cons
3614
def
3092
remove
cons
nil
cons
cons
334
ref
subst
nil
151
ref
3519
ref
nil
cons
3615
def
cons
3616
def
153
ref
3522
ref
nil
cons
3617
def
cons
nil
cons
cons
nil
cons
cons
3618
def
167
ref
subst
3618
remove
334
ref
subst
3595
ref
57
ref
appTerm
betaConv
sym
29
ref
47
ref
271
ref
3519
ref
absTerm
3619
def
appTerm
absTerm
3620
def
39
ref
appTerm
betaConv
sym
3619
ref
275
ref
appTerm
betaConv
sym
3519
remove
assume
3621
def
eqMp
256
ref
257
ref
3619
remove
nil
cons
cons
291
ref
cons
nil
cons
cons
724
ref
subst
proveHyp
eqMp
207
ref
208
ref
3620
ref
nil
cons
cons
210
ref
cons
nil
cons
cons
724
ref
subst
proveHyp
nil
110
ref
725
ref
3620
remove
appTerm
nil
cons
cons
111
ref
3579
remove
nil
cons
3622
def
cons
nil
cons
cons
nil
cons
cons
175
ref
subst
proveHyp
nil
26
ref
3574
ref
cons
nil
cons
nil
cons
cons
48
ref
71
ref
725
ref
29
ref
47
ref
271
ref
728
ref
absTerm
3623
def
appTerm
3624
def
absTerm
3625
def
appTerm
3626
def
appTerm
3627
def
62
ref
appTerm
3628
def
absTerm
3629
def
57
ref
appTerm
3630
def
betaConv
26
ref
65
ref
3629
ref
appTerm
3631
def
absTerm
3632
def
41
ref
appTerm
3633
def
betaConv
2125
remove
nil
2127
ref
111
ref
99
ref
3632
ref
appTerm
nil
cons
3634
def
cons
nil
cons
cons
nil
cons
cons
3635
def
175
ref
subst
proveHyp
3635
ref
126
ref
subst
3635
remove
194
ref
subst
nil
208
ref
3632
remove
nil
cons
cons
3636
def
nil
cons
nil
cons
cons
643
ref
subst
26
ref
nil
139
ref
3631
remove
nil
cons
3637
def
cons
nil
cons
nil
cons
cons
146
ref
subst
nil
257
ref
3629
remove
nil
cons
cons
3638
def
nil
cons
nil
cons
cons
662
ref
subst
48
ref
nil
139
ref
3628
remove
nil
cons
cons
nil
cons
nil
cons
cons
146
ref
subst
nil
110
ref
3626
remove
nil
cons
3639
def
cons
3640
def
111
ref
1107
ref
cons
nil
cons
3641
def
cons
nil
cons
cons
3642
def
126
ref
subst
3642
remove
194
ref
subst
nil
2127
remove
3641
ref
cons
nil
cons
cons
3643
def
175
ref
subst
nil
3640
remove
111
ref
71
ref
2124
remove
appTerm
62
ref
appTerm
3644
def
nil
cons
3645
def
cons
nil
cons
3646
def
cons
nil
cons
cons
175
ref
subst
nil
208
ref
29
ref
71
ref
3625
ref
39
ref
appTerm
3647
def
appTerm
3644
ref
appTerm
3648
def
absTerm
3649
def
nil
cons
cons
nil
cons
nil
cons
cons
643
ref
subst
29
ref
nil
139
ref
3648
remove
nil
cons
cons
nil
cons
nil
cons
cons
146
ref
subst
nil
110
ref
3647
ref
nil
cons
3650
def
cons
3646
ref
cons
nil
cons
cons
3651
def
126
ref
subst
3651
remove
194
ref
subst
3647
ref
betaConv
3647
remove
assume
eqMp
nil
110
ref
3624
ref
nil
cons
cons
3646
ref
cons
nil
cons
cons
175
ref
subst
proveHyp
nil
257
ref
271
ref
71
ref
3623
ref
275
ref
appTerm
3652
def
appTerm
3644
ref
appTerm
3653
def
absTerm
nil
cons
cons
nil
cons
nil
cons
cons
662
ref
subst
271
ref
nil
139
ref
3653
remove
nil
cons
cons
nil
cons
nil
cons
cons
146
ref
subst
nil
110
ref
3652
ref
nil
cons
3654
def
cons
3646
ref
cons
nil
cons
cons
3655
def
126
ref
subst
3655
remove
194
ref
subst
3652
ref
betaConv
3652
remove
assume
eqMp
nil
2055
ref
3646
remove
cons
nil
cons
cons
3656
def
175
ref
subst
proveHyp
3656
ref
126
ref
subst
3656
remove
194
ref
subst
3643
ref
126
ref
subst
3643
remove
194
ref
subst
nil
2055
ref
3641
ref
cons
nil
cons
cons
175
ref
subst
2114
ref
41
ref
appTerm
3657
def
betaConv
2116
ref
57
ref
appTerm
3658
def
betaConv
2118
remove
275
ref
appTerm
3659
def
betaConv
2123
remove
2128
remove
2129
remove
eqMp
eqMp
nil
2130
remove
111
ref
3659
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
175
ref
subst
proveHyp
256
ref
2131
remove
291
ref
cons
nil
cons
cons
205
ref
subst
eqMp
eqMp
nil
110
ref
2117
remove
nil
cons
cons
111
ref
3658
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
175
ref
subst
proveHyp
256
ref
257
ref
2116
remove
nil
cons
cons
293
ref
cons
nil
cons
cons
205
ref
subst
eqMp
eqMp
nil
110
ref
2115
remove
nil
cons
cons
111
ref
3657
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
175
ref
subst
proveHyp
207
ref
208
ref
2114
remove
nil
cons
cons
213
ref
cons
nil
cons
cons
205
ref
subst
eqMp
eqMp
eqMp
eqMp
nil
151
ref
2126
remove
cons
3660
def
1108
ref
cons
nil
cons
cons
167
ref
subst
deductAntisym
eqMp
eqMp
nil
2063
ref
153
ref
3645
remove
cons
nil
cons
3661
def
cons
nil
cons
cons
167
ref
subst
deductAntisym
eqMp
eqMp
eqMp
nil
151
ref
3654
remove
cons
3661
ref
cons
nil
cons
cons
167
ref
subst
deductAntisym
eqMp
eqMp
absThm
eqMp
nil
110
ref
65
ref
258
ref
71
ref
3623
ref
797
ref
appTerm
appTerm
3644
ref
appTerm
absTerm
appTerm
nil
cons
cons
111
ref
71
ref
3624
remove
appTerm
3644
ref
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
175
ref
subst
proveHyp
256
ref
257
ref
3623
remove
nil
cons
cons
3661
ref
cons
nil
cons
cons
811
ref
subst
eqMp
eqMp
eqMp
nil
151
ref
3650
remove
cons
3661
ref
cons
nil
cons
cons
167
ref
subst
deductAntisym
eqMp
eqMp
absThm
eqMp
nil
110
ref
99
ref
3649
remove
appTerm
nil
cons
cons
111
ref
3627
remove
3644
remove
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
175
ref
subst
proveHyp
207
ref
208
ref
3625
remove
nil
cons
cons
3661
remove
cons
nil
cons
cons
811
ref
subst
eqMp
eqMp
eqMp
eqMp
nil
151
ref
3639
remove
cons
1108
ref
cons
nil
cons
cons
167
ref
subst
deductAntisym
eqMp
eqMp
absThm
eqMp
eqMp
absThm
eqMp
eqMp
nil
3660
remove
153
ref
3634
ref
cons
nil
cons
cons
nil
cons
cons
167
ref
subst
deductAntisym
eqMp
eqMp
nil
110
ref
3634
remove
cons
111
ref
3633
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
175
ref
subst
proveHyp
207
ref
3636
remove
213
ref
cons
nil
cons
cons
205
ref
subst
eqMp
eqMp
nil
110
ref
3637
remove
cons
111
ref
3630
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
175
ref
subst
proveHyp
256
ref
3638
remove
293
ref
cons
nil
cons
cons
205
ref
subst
eqMp
eqMp
3662
def
subst
eqMp
3663
def
nil
110
ref
3622
remove
cons
3664
def
111
ref
3594
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
194
ref
subst
proveHyp
29
ref
47
ref
271
ref
699
ref
3521
ref
appTerm
absTerm
appTerm
absTerm
3665
def
41
ref
appTerm
betaConv
sym
271
ref
3522
ref
absTerm
3666
def
275
ref
appTerm
betaConv
sym
3522
ref
assume
3667
def
eqMp
256
ref
257
ref
3666
remove
nil
cons
cons
291
ref
cons
nil
cons
cons
724
ref
subst
proveHyp
eqMp
207
ref
208
ref
3665
ref
nil
cons
cons
213
ref
cons
nil
cons
cons
724
ref
subst
proveHyp
nil
110
ref
725
ref
3665
remove
appTerm
nil
cons
cons
111
ref
3581
remove
nil
cons
3668
def
cons
nil
cons
cons
nil
cons
cons
175
ref
subst
proveHyp
nil
3573
ref
nil
cons
nil
cons
cons
3662
ref
subst
eqMp
3669
def
nil
110
ref
3668
remove
cons
3670
def
111
ref
3593
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
194
ref
subst
proveHyp
nil
257
ref
3592
remove
nil
cons
cons
nil
cons
nil
cons
cons
662
ref
subst
66
ref
nil
139
ref
3591
remove
nil
cons
cons
nil
cons
nil
cons
cons
146
ref
subst
nil
262
ref
3590
remove
nil
cons
cons
nil
cons
nil
cons
cons
663
ref
subst
69
ref
nil
139
ref
3589
remove
nil
cons
cons
nil
cons
nil
cons
cons
146
ref
subst
nil
262
ref
3588
remove
nil
cons
cons
nil
cons
nil
cons
cons
663
ref
subst
70
ref
nil
139
ref
3587
remove
nil
cons
cons
nil
cons
nil
cons
cons
146
ref
subst
nil
110
ref
3586
remove
nil
cons
3671
def
cons
665
ref
cons
nil
cons
cons
3672
def
126
ref
subst
3672
remove
194
ref
subst
nil
151
ref
3583
ref
nil
cons
3673
def
cons
3674
def
153
ref
3585
ref
nil
cons
3675
def
cons
nil
cons
cons
nil
cons
cons
3676
def
167
ref
subst
3676
remove
334
ref
subst
66
ref
83
ref
absTerm
3677
def
1799
ref
74
ref
appTerm
3678
def
appTerm
betaConv
sym
48
ref
725
ref
26
ref
729
ref
80
ref
76
ref
appTerm
3679
def
appTerm
absTerm
3680
def
appTerm
absTerm
3681
def
57
ref
appTerm
betaConv
sym
3680
ref
3518
ref
appTerm
betaConv
sym
216
ref
nil
139
ref
3615
remove
cons
nil
cons
nil
cons
cons
146
ref
subst
3621
ref
eqMp
appThm
3682
def
nil
139
ref
3673
remove
cons
nil
cons
nil
cons
cons
146
ref
subst
3583
remove
assume
eqMp
appThm
528
ref
trans
sym
145
ref
eqMp
eqMp
207
ref
208
ref
3680
remove
nil
cons
cons
3576
ref
cons
nil
cons
cons
724
ref
subst
proveHyp
eqMp
256
ref
257
ref
3681
ref
nil
cons
cons
293
ref
cons
nil
cons
cons
724
ref
subst
proveHyp
nil
110
ref
47
ref
3681
remove
appTerm
nil
cons
cons
111
ref
73
ref
3678
ref
appTerm
3683
def
76
ref
appTerm
nil
cons
3684
def
cons
nil
cons
cons
nil
cons
cons
175
ref
subst
proveHyp
231
ref
227
ref
71
ref
47
ref
48
ref
725
ref
26
ref
729
remove
1657
ref
appTerm
3685
def
absTerm
3686
def
appTerm
3687
def
absTerm
3688
def
appTerm
3689
def
appTerm
3690
def
3683
remove
233
ref
appTerm
3691
def
appTerm
3692
def
absTerm
3693
def
233
ref
appTerm
3694
def
betaConv
66
ref
68
ref
3693
ref
appTerm
3695
def
absTerm
3696
def
74
ref
appTerm
3697
def
betaConv
271
ref
65
ref
3696
ref
appTerm
3698
def
absTerm
3699
def
275
ref
appTerm
3700
def
betaConv
29
ref
65
ref
3699
ref
appTerm
3701
def
absTerm
3702
def
39
ref
appTerm
3703
def
betaConv
nil
208
ref
29
ref
65
ref
271
ref
65
ref
48
ref
99
ref
26
ref
65
ref
66
ref
68
ref
227
ref
71
ref
3685
ref
appTerm
3691
ref
appTerm
3704
def
absTerm
3705
def
appTerm
3706
def
absTerm
3707
def
appTerm
3708
def
absTerm
3709
def
appTerm
3710
def
absTerm
3711
def
appTerm
3712
def
absTerm
3713
def
appTerm
3714
def
absTerm
3715
def
nil
cons
cons
3716
def
nil
cons
nil
cons
cons
643
ref
subst
29
ref
nil
139
ref
3714
remove
nil
cons
3717
def
cons
nil
cons
nil
cons
cons
146
ref
subst
nil
257
ref
3713
ref
nil
cons
cons
3718
def
nil
cons
nil
cons
cons
662
ref
subst
271
ref
nil
139
ref
3712
remove
nil
cons
3719
def
cons
nil
cons
nil
cons
cons
146
ref
subst
nil
257
ref
3711
ref
nil
cons
cons
3720
def
nil
cons
nil
cons
cons
662
ref
subst
48
ref
nil
139
ref
3710
remove
nil
cons
3721
def
cons
nil
cons
nil
cons
cons
146
ref
subst
nil
208
ref
3709
ref
nil
cons
cons
3722
def
nil
cons
nil
cons
cons
643
ref
subst
26
ref
nil
139
ref
3708
remove
nil
cons
3723
def
cons
nil
cons
nil
cons
cons
146
ref
subst
nil
257
ref
3707
ref
nil
cons
cons
3724
def
nil
cons
nil
cons
cons
662
ref
subst
66
ref
nil
139
ref
3706
remove
nil
cons
3725
def
cons
nil
cons
nil
cons
cons
146
ref
subst
nil
262
ref
3705
ref
nil
cons
cons
3726
def
nil
cons
nil
cons
cons
663
ref
subst
227
ref
nil
139
ref
3704
remove
nil
cons
cons
nil
cons
nil
cons
cons
146
ref
subst
nil
110
ref
3685
remove
nil
cons
3727
def
cons
3728
def
111
ref
3691
ref
nil
cons
3729
def
cons
nil
cons
3730
def
cons
nil
cons
cons
3731
def
126
ref
subst
3731
ref
194
ref
subst
nil
2063
ref
153
ref
1657
ref
nil
cons
3732
def
cons
nil
cons
cons
nil
cons
cons
3733
def
167
ref
subst
3733
remove
334
ref
subst
nil
2055
ref
111
ref
36
ref
1657
ref
appTerm
49
ref
1597
ref
57
ref
appTerm
3734
def
appTerm
3691
ref
appTerm
3735
def
appTerm
3736
def
nil
cons
3737
def
cons
nil
cons
cons
nil
cons
cons
3738
def
126
ref
subst
3738
remove
194
ref
subst
155
ref
1678
remove
appThm
216
ref
1222
ref
1794
remove
subst
1796
remove
222
ref
appThm
trans
appThm
nil
66
ref
3678
ref
nil
cons
3739
def
cons
nil
cons
nil
cons
cons
266
ref
subst
appThm
appThm
sym
nil
2055
ref
111
ref
36
ref
1681
remove
appTerm
49
ref
2009
remove
57
ref
appTerm
appTerm
236
ref
3678
ref
appTerm
240
ref
appTerm
243
ref
appTerm
appTerm
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
175
ref
subst
nil
452
ref
290
ref
cons
493
ref
292
remove
cons
3740
def
1670
remove
cons
cons
nil
cons
cons
542
ref
71
ref
236
ref
458
ref
appTerm
496
ref
appTerm
41
ref
appTerm
appTerm
36
ref
1263
remove
appTerm
49
ref
1800
ref
496
ref
appTerm
appTerm
236
ref
459
ref
275
ref
appTerm
appTerm
57
ref
appTerm
547
ref
appTerm
appTerm
appTerm
appTerm
absTerm
3741
def
547
ref
appTerm
3742
def
betaConv
48
ref
99
ref
3741
ref
appTerm
3743
def
absTerm
3744
def
57
ref
appTerm
3745
def
betaConv
271
ref
65
ref
3744
ref
appTerm
3746
def
absTerm
3747
def
275
ref
appTerm
3748
def
betaConv
452
ref
65
ref
3747
ref
appTerm
3749
def
absTerm
3750
def
458
ref
appTerm
3751
def
betaConv
29
ref
65
ref
3750
ref
appTerm
3752
def
absTerm
3753
def
39
ref
appTerm
3754
def
betaConv
493
ref
99
ref
3753
ref
appTerm
3755
def
absTerm
3756
def
496
ref
appTerm
3757
def
betaConv
26
ref
65
ref
3756
ref
appTerm
3758
def
absTerm
3759
def
41
ref
appTerm
3760
def
betaConv
nil
99
ref
29
ref
65
ref
452
ref
65
ref
493
ref
99
ref
26
ref
3749
ref
absTerm
3761
def
appTerm
3762
def
absTerm
3763
def
appTerm
3764
def
absTerm
3765
def
appTerm
3766
def
absTerm
3767
def
appTerm
3768
def
axiom
nil
110
ref
3768
remove
nil
cons
3769
def
cons
3770
def
111
ref
99
ref
3759
ref
appTerm
nil
cons
3771
def
cons
nil
cons
cons
nil
cons
cons
3772
def
175
ref
subst
proveHyp
3772
ref
126
ref
subst
3772
remove
194
ref
subst
nil
208
ref
3759
remove
nil
cons
cons
3773
def
nil
cons
nil
cons
cons
643
ref
subst
26
ref
nil
139
ref
3758
remove
nil
cons
3774
def
cons
nil
cons
nil
cons
cons
146
ref
subst
nil
257
ref
3756
remove
nil
cons
cons
3775
def
nil
cons
nil
cons
cons
662
ref
subst
493
ref
nil
139
ref
3755
remove
nil
cons
3776
def
cons
nil
cons
nil
cons
cons
146
ref
subst
nil
208
ref
3753
remove
nil
cons
cons
3777
def
nil
cons
nil
cons
cons
643
ref
subst
29
ref
nil
139
ref
3752
remove
nil
cons
3778
def
cons
nil
cons
nil
cons
cons
146
ref
subst
nil
257
ref
3750
remove
nil
cons
cons
3779
def
nil
cons
nil
cons
cons
662
ref
subst
452
ref
nil
139
ref
3749
remove
nil
cons
3780
def
cons
nil
cons
nil
cons
cons
146
ref
subst
3761
ref
41
ref
appTerm
3781
def
betaConv
3763
ref
496
ref
appTerm
3782
def
betaConv
3765
ref
458
ref
appTerm
3783
def
betaConv
3767
ref
39
ref
appTerm
3784
def
betaConv
nil
3770
remove
111
ref
3784
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
175
ref
subst
207
ref
208
ref
3767
remove
nil
cons
cons
210
ref
cons
nil
cons
cons
205
ref
subst
eqMp
eqMp
nil
110
ref
3766
remove
nil
cons
cons
111
ref
3783
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
175
ref
subst
proveHyp
256
ref
257
ref
3765
remove
nil
cons
cons
258
ref
511
ref
cons
nil
cons
3785
def
cons
nil
cons
cons
205
ref
subst
eqMp
eqMp
nil
110
ref
3764
remove
nil
cons
cons
111
ref
3782
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
175
ref
subst
proveHyp
256
ref
257
ref
3763
remove
nil
cons
cons
509
ref
cons
nil
cons
cons
205
ref
subst
eqMp
eqMp
nil
110
ref
3762
remove
nil
cons
cons
111
ref
3781
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
175
ref
subst
proveHyp
207
ref
208
ref
3761
remove
nil
cons
cons
213
ref
cons
nil
cons
cons
205
ref
subst
eqMp
eqMp
eqMp
absThm
eqMp
eqMp
absThm
eqMp
eqMp
absThm
eqMp
eqMp
absThm
eqMp
eqMp
nil
151
ref
3769
remove
cons
153
ref
3771
ref
cons
nil
cons
cons
nil
cons
cons
167
ref
subst
deductAntisym
eqMp
eqMp
nil
110
ref
3771
remove
cons
111
ref
3760
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
175
ref
subst
proveHyp
207
ref
3773
remove
213
ref
cons
nil
cons
cons
205
ref
subst
eqMp
eqMp
nil
110
ref
3774
remove
cons
111
ref
3757
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
175
ref
subst
proveHyp
256
ref
3775
remove
509
ref
cons
nil
cons
cons
205
ref
subst
eqMp
eqMp
nil
110
ref
3776
remove
cons
111
ref
3754
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
175
ref
subst
proveHyp
207
ref
3777
remove
210
ref
cons
nil
cons
cons
205
ref
subst
eqMp
eqMp
nil
110
ref
3778
remove
cons
111
ref
3751
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
175
ref
subst
proveHyp
256
ref
3779
remove
3785
ref
cons
nil
cons
cons
205
ref
subst
eqMp
eqMp
nil
110
ref
3780
remove
cons
111
ref
3748
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
175
ref
subst
proveHyp
256
ref
257
ref
3747
remove
nil
cons
cons
291
ref
cons
nil
cons
cons
205
ref
subst
eqMp
eqMp
nil
110
ref
3746
remove
nil
cons
cons
111
ref
3745
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
175
ref
subst
proveHyp
256
ref
257
ref
3744
remove
nil
cons
cons
293
ref
cons
nil
cons
cons
205
ref
subst
eqMp
eqMp
nil
110
ref
3743
remove
nil
cons
cons
111
ref
3742
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
175
ref
subst
proveHyp
207
ref
208
ref
3741
remove
nil
cons
cons
595
ref
cons
nil
cons
cons
205
ref
subst
eqMp
eqMp
subst
eqMp
eqMp
eqMp
nil
2063
ref
153
ref
3737
remove
cons
nil
cons
cons
nil
cons
cons
167
ref
subst
deductAntisym
eqMp
3786
def
nil
110
ref
2023
ref
3736
remove
appTerm
3787
def
nil
cons
3788
def
cons
3730
ref
cons
nil
cons
cons
175
ref
subst
proveHyp
226
ref
226
ref
nil
139
ref
2054
remove
cons
nil
cons
nil
cons
cons
146
ref
subst
728
ref
assume
eqMp
appThm
155
ref
nil
139
ref
3732
remove
cons
nil
cons
nil
cons
cons
146
ref
subst
1657
ref
assume
eqMp
appThm
3735
ref
refl
appThm
nil
139
ref
3735
remove
nil
cons
3789
def
cons
nil
cons
nil
cons
cons
3790
def
2148
ref
subst
trans
appThm
3790
remove
840
ref
subst
trans
appThm
3691
ref
refl
appThm
sym
nil
110
ref
3789
ref
cons
3730
ref
cons
nil
cons
cons
3791
def
126
ref
subst
3791
remove
194
ref
subst
nil
151
ref
3734
remove
nil
cons
cons
153
ref
3729
remove
cons
nil
cons
3792
def
cons
nil
cons
cons
334
ref
subst
eqMp
nil
151
ref
3789
remove
cons
3792
ref
cons
nil
cons
cons
167
ref
subst
deductAntisym
eqMp
eqMp
eqMp
proveHyp
proveHyp
eqMp
nil
151
ref
3727
remove
cons
3793
def
3792
ref
cons
nil
cons
cons
167
ref
subst
deductAntisym
eqMp
eqMp
absThm
eqMp
eqMp
absThm
eqMp
eqMp
absThm
eqMp
eqMp
absThm
eqMp
eqMp
absThm
eqMp
eqMp
absThm
eqMp
3794
def
nil
110
ref
99
ref
3715
ref
appTerm
3795
def
nil
cons
3796
def
cons
3797
def
111
ref
99
ref
3702
ref
appTerm
nil
cons
3798
def
cons
nil
cons
cons
nil
cons
cons
3799
def
175
ref
subst
proveHyp
3799
ref
126
ref
subst
3799
remove
194
ref
subst
nil
208
ref
3702
remove
nil
cons
cons
3800
def
nil
cons
nil
cons
cons
643
ref
subst
29
ref
nil
139
ref
3701
remove
nil
cons
3801
def
cons
nil
cons
nil
cons
cons
146
ref
subst
nil
257
ref
3699
remove
nil
cons
cons
3802
def
nil
cons
nil
cons
cons
662
ref
subst
271
ref
nil
139
ref
3698
remove
nil
cons
3803
def
cons
nil
cons
nil
cons
cons
146
ref
subst
nil
257
ref
3696
remove
nil
cons
cons
3804
def
nil
cons
nil
cons
cons
662
ref
subst
66
ref
nil
139
ref
3695
remove
nil
cons
3805
def
cons
nil
cons
nil
cons
cons
146
ref
subst
nil
262
ref
3693
remove
nil
cons
cons
3806
def
nil
cons
nil
cons
cons
663
ref
subst
227
ref
nil
139
ref
3692
remove
nil
cons
cons
nil
cons
nil
cons
cons
146
ref
subst
nil
110
ref
3689
remove
nil
cons
3807
def
cons
3808
def
3730
ref
cons
nil
cons
cons
3809
def
126
ref
subst
3809
remove
194
ref
subst
nil
3797
ref
3730
remove
cons
nil
cons
cons
3810
def
175
ref
subst
nil
3808
remove
111
ref
71
ref
3795
ref
appTerm
3691
remove
appTerm
3811
def
nil
cons
3812
def
cons
nil
cons
3813
def
cons
nil
cons
cons
175
ref
subst
nil
257
ref
48
ref
71
ref
3688
ref
57
ref
appTerm
3814
def
appTerm
3811
ref
appTerm
3815
def
absTerm
nil
cons
cons
nil
cons
nil
cons
cons
662
ref
subst
48
ref
nil
139
ref
3815
remove
nil
cons
cons
nil
cons
nil
cons
cons
146
ref
subst
nil
110
ref
3814
ref
nil
cons
3816
def
cons
3813
ref
cons
nil
cons
cons
3817
def
126
ref
subst
3817
remove
194
ref
subst
3814
ref
betaConv
3814
remove
assume
eqMp
nil
110
ref
3687
ref
nil
cons
cons
3813
ref
cons
nil
cons
cons
175
ref
subst
proveHyp
nil
208
ref
26
ref
71
ref
3686
ref
41
ref
appTerm
3818
def
appTerm
3811
ref
appTerm
3819
def
absTerm
nil
cons
cons
nil
cons
nil
cons
cons
643
ref
subst
26
ref
nil
139
ref
3819
remove
nil
cons
cons
nil
cons
nil
cons
cons
146
ref
subst
nil
110
ref
3818
ref
nil
cons
3820
def
cons
3813
ref
cons
nil
cons
cons
3821
def
126
ref
subst
3821
remove
194
ref
subst
3818
ref
betaConv
3818
remove
assume
eqMp
nil
3728
remove
3813
remove
cons
nil
cons
cons
3822
def
175
ref
subst
proveHyp
3822
ref
126
ref
subst
3822
remove
194
ref
subst
3810
ref
126
ref
subst
3810
remove
194
ref
subst
3731
remove
175
ref
subst
3705
remove
233
ref
appTerm
3823
def
betaConv
3707
remove
74
ref
appTerm
3824
def
betaConv
3709
remove
41
ref
appTerm
3825
def
betaConv
3711
remove
57
ref
appTerm
3826
def
betaConv
3713
remove
275
ref
appTerm
3827
def
betaConv
3715
remove
39
ref
appTerm
3828
def
betaConv
nil
3797
remove
111
ref
3828
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
175
ref
subst
207
ref
3716
remove
210
ref
cons
nil
cons
cons
205
ref
subst
eqMp
eqMp
nil
110
ref
3717
remove
cons
111
ref
3827
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
175
ref
subst
proveHyp
256
ref
3718
remove
291
ref
cons
nil
cons
cons
205
ref
subst
eqMp
eqMp
nil
110
ref
3719
remove
cons
111
ref
3826
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
175
ref
subst
proveHyp
256
ref
3720
remove
293
ref
cons
nil
cons
cons
205
ref
subst
eqMp
eqMp
nil
110
ref
3721
remove
cons
111
ref
3825
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
175
ref
subst
proveHyp
207
ref
3722
remove
213
ref
cons
nil
cons
cons
205
ref
subst
eqMp
eqMp
nil
110
ref
3723
remove
cons
111
ref
3824
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
175
ref
subst
proveHyp
256
ref
3724
remove
260
ref
cons
nil
cons
cons
205
ref
subst
eqMp
eqMp
nil
110
ref
3725
remove
cons
111
ref
3823
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
175
ref
subst
proveHyp
261
ref
3726
remove
265
ref
cons
nil
cons
cons
205
ref
subst
eqMp
eqMp
eqMp
eqMp
nil
151
ref
3796
remove
cons
3829
def
3792
ref
cons
nil
cons
cons
167
ref
subst
deductAntisym
eqMp
eqMp
nil
3793
remove
153
ref
3812
remove
cons
nil
cons
3830
def
cons
nil
cons
cons
167
ref
subst
deductAntisym
eqMp
eqMp
eqMp
nil
151
ref
3820
remove
cons
3830
ref
cons
nil
cons
cons
167
ref
subst
deductAntisym
eqMp
eqMp
absThm
eqMp
nil
110
ref
99
ref
1892
ref
71
ref
3686
ref
1893
ref
appTerm
appTerm
3811
ref
appTerm
absTerm
appTerm
nil
cons
cons
111
ref
71
ref
3687
remove
appTerm
3811
ref
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
175
ref
subst
proveHyp
207
ref
208
ref
3686
remove
nil
cons
cons
3830
ref
cons
nil
cons
cons
811
ref
subst
eqMp
eqMp
eqMp
nil
151
ref
3816
remove
cons
3830
ref
cons
nil
cons
cons
167
ref
subst
deductAntisym
eqMp
eqMp
absThm
eqMp
nil
110
ref
65
ref
258
ref
71
ref
3688
ref
797
ref
appTerm
appTerm
3811
ref
appTerm
absTerm
appTerm
nil
cons
cons
111
ref
3690
remove
3811
remove
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
175
ref
subst
proveHyp
256
ref
257
ref
3688
remove
nil
cons
cons
3830
remove
cons
nil
cons
cons
811
ref
subst
eqMp
eqMp
eqMp
eqMp
nil
151
ref
3807
remove
cons
3792
remove
cons
nil
cons
cons
167
ref
subst
deductAntisym
eqMp
eqMp
absThm
eqMp
eqMp
absThm
eqMp
eqMp
absThm
eqMp
eqMp
absThm
eqMp
eqMp
nil
3829
remove
153
ref
3798
ref
cons
nil
cons
cons
nil
cons
cons
167
ref
subst
deductAntisym
eqMp
eqMp
nil
110
ref
3798
remove
cons
111
ref
3703
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
175
ref
subst
proveHyp
207
ref
3800
remove
210
ref
cons
nil
cons
cons
205
ref
subst
eqMp
eqMp
nil
110
ref
3801
remove
cons
111
ref
3700
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
175
ref
subst
proveHyp
256
ref
3802
remove
291
ref
cons
nil
cons
cons
205
ref
subst
eqMp
eqMp
nil
110
ref
3803
remove
cons
111
ref
3697
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
175
ref
subst
proveHyp
256
ref
3804
remove
260
ref
cons
nil
cons
cons
205
ref
subst
eqMp
eqMp
nil
110
ref
3805
remove
cons
111
ref
3694
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
175
ref
subst
proveHyp
261
ref
3806
remove
265
ref
cons
nil
cons
cons
205
ref
subst
eqMp
eqMp
3831
def
subst
eqMp
3832
def
nil
110
ref
3684
remove
cons
3833
def
111
ref
79
remove
3678
ref
appTerm
81
ref
appTerm
3834
def
nil
cons
3835
def
cons
nil
cons
3836
def
cons
nil
cons
cons
194
ref
subst
proveHyp
48
ref
725
ref
1111
ref
49
ref
1262
ref
1113
ref
appTerm
appTerm
72
ref
1113
ref
appTerm
74
ref
appTerm
81
ref
appTerm
appTerm
absTerm
3837
def
appTerm
absTerm
3838
def
57
ref
appTerm
betaConv
sym
3837
ref
3521
ref
appTerm
betaConv
sym
216
ref
nil
139
ref
3617
ref
cons
nil
cons
nil
cons
cons
146
ref
subst
3667
remove
eqMp
appThm
3839
def
nil
139
ref
3675
ref
cons
nil
cons
nil
cons
cons
146
ref
subst
3585
ref
assume
eqMp
appThm
528
ref
trans
sym
145
ref
eqMp
eqMp
207
ref
208
ref
3837
remove
nil
cons
cons
29
ref
3572
remove
cons
nil
cons
3840
def
cons
nil
cons
cons
724
ref
subst
proveHyp
eqMp
256
ref
257
ref
3838
ref
nil
cons
cons
293
ref
cons
nil
cons
cons
724
ref
subst
proveHyp
nil
110
ref
47
ref
3838
remove
appTerm
nil
cons
cons
3836
remove
cons
nil
cons
cons
175
ref
subst
proveHyp
nil
370
remove
213
ref
cons
nil
cons
cons
3841
def
3831
ref
subst
eqMp
3842
def
eqMp
eqMp
256
ref
257
ref
3677
ref
nil
cons
cons
3843
def
258
ref
3739
remove
cons
nil
cons
3844
def
cons
nil
cons
cons
724
ref
subst
proveHyp
nil
110
ref
47
ref
3677
ref
appTerm
3845
def
nil
cons
3846
def
cons
3847
def
665
ref
cons
nil
cons
cons
3848
def
175
ref
subst
3849
def
proveHyp
3848
ref
126
ref
subst
3848
remove
194
ref
subst
nil
3303
remove
665
remove
cons
nil
cons
cons
3850
def
175
ref
subst
nil
3847
remove
111
ref
71
ref
91
remove
appTerm
85
ref
appTerm
3851
def
nil
cons
3852
def
cons
nil
cons
3853
def
cons
nil
cons
cons
175
ref
subst
nil
257
ref
66
ref
71
ref
3677
ref
74
ref
appTerm
3854
def
appTerm
3851
ref
appTerm
3855
def
absTerm
nil
cons
cons
nil
cons
nil
cons
cons
662
ref
subst
66
ref
nil
139
ref
3855
remove
nil
cons
cons
nil
cons
nil
cons
cons
146
ref
subst
nil
110
ref
3854
ref
nil
cons
3856
def
cons
3853
ref
cons
nil
cons
cons
3857
def
126
ref
subst
3857
remove
194
ref
subst
3854
ref
betaConv
3858
def
3854
remove
assume
eqMp
nil
3299
ref
3853
remove
cons
nil
cons
cons
3859
def
175
ref
subst
proveHyp
3859
ref
126
ref
subst
3859
remove
194
ref
subst
3850
ref
126
ref
subst
3850
remove
194
ref
subst
3304
remove
eqMp
nil
151
ref
3091
remove
cons
850
ref
cons
nil
cons
cons
167
ref
subst
deductAntisym
eqMp
eqMp
nil
151
ref
3292
remove
cons
3860
def
153
ref
3852
remove
cons
nil
cons
3861
def
cons
nil
cons
cons
167
ref
subst
deductAntisym
eqMp
eqMp
eqMp
nil
151
ref
3856
remove
cons
3861
ref
cons
nil
cons
cons
167
ref
subst
deductAntisym
eqMp
eqMp
absThm
eqMp
nil
110
ref
65
ref
258
ref
71
ref
3677
remove
797
ref
appTerm
appTerm
3851
ref
appTerm
absTerm
appTerm
nil
cons
cons
111
ref
71
ref
3845
remove
appTerm
3851
remove
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
175
ref
subst
proveHyp
256
ref
3843
ref
3861
remove
cons
nil
cons
cons
811
ref
subst
eqMp
eqMp
eqMp
eqMp
nil
151
ref
3846
remove
cons
850
ref
cons
nil
cons
cons
167
ref
subst
deductAntisym
eqMp
3862
def
eqMp
proveHyp
proveHyp
eqMp
nil
151
ref
3671
remove
cons
850
remove
cons
nil
cons
cons
167
ref
subst
deductAntisym
eqMp
eqMp
absThm
eqMp
eqMp
absThm
eqMp
eqMp
absThm
eqMp
eqMp
eqMp
eqMp
256
ref
257
ref
3595
remove
nil
cons
cons
293
ref
cons
nil
cons
cons
724
ref
subst
proveHyp
proveHyp
proveHyp
proveHyp
proveHyp
eqMp
nil
151
ref
3609
remove
cons
153
ref
3597
remove
cons
nil
cons
3863
def
cons
nil
cons
cons
167
ref
subst
deductAntisym
eqMp
eqMp
eqMp
nil
151
ref
3603
remove
cons
3863
ref
cons
nil
cons
cons
167
ref
subst
deductAntisym
eqMp
eqMp
absThm
eqMp
nil
110
ref
65
ref
258
ref
3104
ref
3596
ref
appTerm
absTerm
appTerm
nil
cons
cons
111
ref
3105
ref
3596
remove
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
175
ref
subst
proveHyp
256
ref
3106
ref
3863
ref
cons
nil
cons
cons
811
ref
subst
eqMp
eqMp
proveHyp
proveHyp
eqMp
nil
151
ref
3578
remove
cons
3863
remove
cons
nil
cons
cons
167
ref
subst
deductAntisym
eqMp
eqMp
3864
def
eqMp
absThm
eqMp
eqMp
absThm
eqMp
eqMp
absThm
eqMp
eqMp
absThm
eqMp
eqMp
absThm
eqMp
eqMp
absThm
eqMp
eqMp
absThm
eqMp
3865
def
nil
110
ref
108
ref
3557
ref
appTerm
3866
def
nil
cons
3867
def
cons
3868
def
111
ref
108
ref
3542
ref
appTerm
nil
cons
3869
def
cons
nil
cons
cons
nil
cons
cons
3870
def
175
ref
subst
proveHyp
3870
ref
126
ref
subst
3870
remove
194
ref
subst
nil
178
ref
3542
remove
nil
cons
cons
3871
def
nil
cons
nil
cons
cons
1982
ref
subst
22
ref
nil
139
ref
3541
remove
nil
cons
3872
def
cons
nil
cons
nil
cons
cons
146
ref
subst
nil
208
ref
3539
remove
nil
cons
cons
3873
def
nil
cons
nil
cons
cons
643
ref
subst
3515
ref
nil
139
ref
3538
remove
nil
cons
3874
def
cons
nil
cons
nil
cons
cons
146
ref
subst
nil
208
ref
3536
remove
nil
cons
cons
3875
def
nil
cons
nil
cons
cons
643
ref
subst
3513
ref
nil
139
ref
3535
remove
nil
cons
cons
nil
cons
nil
cons
cons
146
ref
subst
nil
110
ref
3532
remove
nil
cons
3876
def
cons
3877
def
111
ref
3534
ref
nil
cons
3878
def
cons
nil
cons
3879
def
cons
nil
cons
cons
3880
def
126
ref
subst
3880
remove
194
ref
subst
nil
3868
ref
3879
ref
cons
nil
cons
cons
3881
def
175
ref
subst
nil
3877
remove
111
ref
71
ref
3866
ref
appTerm
3534
remove
appTerm
3882
def
nil
cons
3883
def
cons
nil
cons
3884
def
cons
nil
cons
cons
175
ref
subst
nil
208
ref
29
ref
71
ref
3531
ref
39
ref
appTerm
3885
def
appTerm
3882
ref
appTerm
3886
def
absTerm
3887
def
nil
cons
cons
nil
cons
nil
cons
cons
643
ref
subst
29
ref
nil
139
ref
3886
remove
nil
cons
cons
nil
cons
nil
cons
cons
146
ref
subst
nil
110
ref
3885
ref
nil
cons
3888
def
cons
3884
ref
cons
nil
cons
cons
3889
def
126
ref
subst
3889
remove
194
ref
subst
3885
ref
betaConv
3885
remove
assume
eqMp
nil
110
ref
3530
ref
nil
cons
cons
3884
ref
cons
nil
cons
cons
175
ref
subst
proveHyp
nil
208
ref
26
ref
71
ref
3529
ref
41
ref
appTerm
3890
def
appTerm
3882
ref
appTerm
3891
def
absTerm
nil
cons
cons
nil
cons
nil
cons
cons
643
ref
subst
26
ref
nil
139
ref
3891
remove
nil
cons
cons
nil
cons
nil
cons
cons
146
ref
subst
nil
110
ref
3890
ref
nil
cons
3892
def
cons
3884
ref
cons
nil
cons
cons
3893
def
126
ref
subst
3893
remove
194
ref
subst
3890
ref
betaConv
3890
remove
assume
eqMp
nil
110
ref
3528
ref
nil
cons
cons
3884
ref
cons
nil
cons
cons
175
ref
subst
proveHyp
nil
257
ref
271
ref
71
ref
3527
ref
275
ref
appTerm
3894
def
appTerm
3882
ref
appTerm
3895
def
absTerm
nil
cons
cons
nil
cons
nil
cons
cons
662
ref
subst
271
ref
nil
139
ref
3895
remove
nil
cons
cons
nil
cons
nil
cons
cons
146
ref
subst
nil
110
ref
3894
ref
nil
cons
3896
def
cons
3884
ref
cons
nil
cons
cons
3897
def
126
ref
subst
3897
remove
194
ref
subst
3894
ref
betaConv
3894
remove
assume
eqMp
nil
110
ref
3526
ref
nil
cons
cons
3884
ref
cons
nil
cons
cons
175
ref
subst
proveHyp
nil
257
ref
48
ref
71
ref
3525
ref
57
ref
appTerm
3898
def
appTerm
3882
ref
appTerm
3899
def
absTerm
nil
cons
cons
nil
cons
nil
cons
cons
662
ref
subst
48
ref
nil
139
ref
3899
remove
nil
cons
cons
nil
cons
nil
cons
cons
146
ref
subst
nil
110
ref
3898
ref
nil
cons
3900
def
cons
3884
ref
cons
nil
cons
cons
3901
def
126
ref
subst
3901
remove
194
ref
subst
3898
ref
betaConv
3898
remove
assume
eqMp
nil
110
ref
3524
remove
nil
cons
3902
def
cons
3903
def
3884
remove
cons
nil
cons
cons
3904
def
175
ref
subst
proveHyp
3904
ref
126
ref
subst
3904
remove
194
ref
subst
3881
ref
126
ref
subst
3881
remove
194
ref
subst
nil
3903
remove
3879
remove
cons
nil
cons
cons
175
ref
subst
3545
remove
3521
ref
appTerm
3905
def
betaConv
3547
remove
3518
ref
appTerm
3906
def
betaConv
3549
remove
57
ref
appTerm
3907
def
betaConv
3551
remove
275
ref
appTerm
3908
def
betaConv
3553
remove
41
ref
appTerm
3909
def
betaConv
3555
remove
39
ref
appTerm
3910
def
betaConv
3557
remove
37
ref
appTerm
3911
def
betaConv
nil
3868
remove
111
ref
3911
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
175
ref
subst
177
ref
3558
remove
180
ref
cons
nil
cons
cons
205
ref
subst
eqMp
eqMp
nil
110
ref
3559
remove
cons
111
ref
3910
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
175
ref
subst
proveHyp
207
ref
3560
remove
210
ref
cons
nil
cons
cons
205
ref
subst
eqMp
eqMp
nil
110
ref
3561
remove
cons
111
ref
3909
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
175
ref
subst
proveHyp
207
ref
3562
remove
213
ref
cons
nil
cons
cons
205
ref
subst
eqMp
eqMp
nil
110
ref
3563
remove
cons
111
ref
3908
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
175
ref
subst
proveHyp
256
ref
3564
remove
291
ref
cons
nil
cons
cons
205
ref
subst
eqMp
eqMp
nil
110
ref
3565
remove
cons
111
ref
3907
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
175
ref
subst
proveHyp
256
ref
3566
remove
293
ref
cons
nil
cons
cons
205
ref
subst
eqMp
eqMp
nil
110
ref
3567
remove
cons
111
ref
3906
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
175
ref
subst
proveHyp
207
ref
3568
remove
3576
ref
cons
nil
cons
cons
205
ref
subst
eqMp
eqMp
nil
110
ref
3569
remove
cons
111
ref
3905
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
175
ref
subst
proveHyp
207
ref
3570
remove
3840
ref
cons
nil
cons
cons
205
ref
subst
eqMp
eqMp
eqMp
eqMp
nil
151
ref
3867
remove
cons
3912
def
153
ref
3878
remove
cons
nil
cons
3913
def
cons
nil
cons
cons
167
ref
subst
deductAntisym
eqMp
eqMp
nil
151
ref
3902
remove
cons
153
ref
3883
remove
cons
nil
cons
3914
def
cons
nil
cons
cons
167
ref
subst
deductAntisym
eqMp
eqMp
eqMp
nil
151
ref
3900
remove
cons
3914
ref
cons
nil
cons
cons
167
ref
subst
deductAntisym
eqMp
eqMp
absThm
eqMp
nil
110
ref
65
ref
258
ref
71
ref
3525
ref
797
ref
appTerm
appTerm
3882
ref
appTerm
absTerm
appTerm
nil
cons
cons
111
ref
71
ref
3526
remove
appTerm
3882
ref
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
175
ref
subst
proveHyp
256
ref
257
ref
3525
remove
nil
cons
cons
3914
ref
cons
nil
cons
cons
811
ref
subst
eqMp
eqMp
eqMp
nil
151
ref
3896
remove
cons
3914
ref
cons
nil
cons
cons
167
ref
subst
deductAntisym
eqMp
eqMp
absThm
eqMp
nil
110
ref
65
ref
258
ref
71
ref
3527
ref
797
ref
appTerm
appTerm
3882
ref
appTerm
absTerm
appTerm
nil
cons
cons
111
ref
71
ref
3528
remove
appTerm
3882
ref
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
175
ref
subst
proveHyp
256
ref
257
ref
3527
remove
nil
cons
cons
3914
ref
cons
nil
cons
cons
811
ref
subst
eqMp
eqMp
eqMp
nil
151
ref
3892
remove
cons
3914
ref
cons
nil
cons
cons
167
ref
subst
deductAntisym
eqMp
eqMp
absThm
eqMp
nil
110
ref
99
ref
1892
ref
71
ref
3529
ref
1893
ref
appTerm
appTerm
3882
ref
appTerm
absTerm
appTerm
nil
cons
cons
111
ref
71
ref
3530
remove
appTerm
3882
ref
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
175
ref
subst
proveHyp
207
ref
208
ref
3529
remove
nil
cons
cons
3914
ref
cons
nil
cons
cons
811
ref
subst
eqMp
eqMp
eqMp
nil
151
ref
3888
remove
cons
3914
ref
cons
nil
cons
cons
167
ref
subst
deductAntisym
eqMp
eqMp
absThm
eqMp
nil
110
ref
99
ref
3887
remove
appTerm
nil
cons
cons
111
ref
3533
remove
3882
remove
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
175
ref
subst
proveHyp
207
ref
208
ref
3531
remove
nil
cons
cons
3914
remove
cons
nil
cons
cons
811
ref
subst
eqMp
eqMp
eqMp
eqMp
nil
151
ref
3876
remove
cons
3913
remove
cons
nil
cons
cons
167
ref
subst
deductAntisym
eqMp
eqMp
absThm
eqMp
eqMp
absThm
eqMp
eqMp
absThm
eqMp
eqMp
nil
3912
remove
153
ref
3869
ref
cons
nil
cons
cons
nil
cons
cons
167
ref
subst
deductAntisym
eqMp
eqMp
nil
110
ref
3869
remove
cons
111
ref
3543
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
175
ref
subst
proveHyp
177
ref
3871
remove
180
ref
cons
nil
cons
cons
205
ref
subst
eqMp
eqMp
nil
110
ref
3872
remove
cons
111
ref
3540
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
175
ref
subst
proveHyp
207
ref
3873
remove
3576
ref
cons
nil
cons
cons
205
ref
subst
eqMp
eqMp
nil
110
ref
3874
remove
cons
111
ref
3537
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
175
ref
subst
proveHyp
207
ref
3875
remove
3840
ref
cons
nil
cons
cons
205
ref
subst
eqMp
eqMp
subst
eqMp
proveHyp
proveHyp
eqMp
nil
151
ref
3446
remove
cons
153
ref
3348
ref
cons
nil
cons
3915
def
cons
nil
cons
cons
167
ref
subst
deductAntisym
eqMp
eqMp
eqMp
eqMp
nil
151
ref
3422
remove
cons
3916
def
153
ref
3412
ref
cons
nil
cons
3917
def
cons
nil
cons
cons
167
ref
subst
deductAntisym
eqMp
eqMp
eqMp
nil
151
ref
3418
remove
cons
3918
def
3917
ref
cons
nil
cons
cons
167
ref
subst
deductAntisym
eqMp
eqMp
absThm
eqMp
nil
110
ref
65
ref
258
ref
71
ref
1187
ref
797
ref
appTerm
appTerm
3919
def
3411
ref
appTerm
absTerm
appTerm
nil
cons
cons
111
ref
71
ref
1188
ref
appTerm
3920
def
3411
remove
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
175
ref
subst
proveHyp
256
ref
257
ref
1187
remove
nil
cons
cons
3921
def
3917
ref
cons
nil
cons
cons
811
ref
subst
eqMp
nil
110
ref
501
ref
nil
cons
3922
def
cons
3923
def
3413
remove
cons
nil
cons
cons
3924
def
126
ref
subst
3924
remove
194
ref
subst
3429
remove
"_31938"
44
ref
var
3925
def
71
ref
49
ref
3393
ref
3925
remove
varTerm
3926
def
appTerm
appTerm
3395
ref
3926
remove
appTerm
appTerm
appTerm
3041
ref
appTerm
absTerm
220
ref
appTerm
betaConv
appThm
3430
remove
71
ref
49
ref
3393
ref
220
ref
appTerm
appTerm
3927
def
3395
ref
220
ref
appTerm
3928
def
appTerm
appTerm
3041
ref
appTerm
refl
appThm
trans
3433
remove
501
remove
assume
3929
def
appThm
eqMp
sym
226
ref
216
ref
3379
remove
350
ref
subst
appThm
3930
def
3390
remove
350
ref
subst
3931
def
appThm
375
ref
trans
appThm
3399
ref
appThm
nil
139
ref
3348
remove
cons
nil
cons
nil
cons
cons
3932
def
381
ref
subst
trans
sym
145
ref
eqMp
eqMp
eqMp
nil
151
ref
3922
remove
cons
3933
def
3917
ref
cons
nil
cons
cons
167
ref
subst
deductAntisym
eqMp
nil
3933
ref
153
ref
1188
remove
nil
cons
cons
3934
def
1335
ref
3412
remove
cons
nil
cons
cons
cons
nil
cons
cons
1350
ref
subst
proveHyp
proveHyp
eqMp
nil
151
ref
3409
remove
cons
3935
def
3917
remove
cons
nil
cons
cons
167
ref
subst
deductAntisym
eqMp
eqMp
eqMp
eqMp
nil
151
ref
3402
remove
cons
3915
ref
cons
nil
cons
cons
167
ref
subst
deductAntisym
eqMp
eqMp
absThm
eqMp
nil
110
ref
65
ref
258
ref
71
ref
3397
ref
797
ref
appTerm
appTerm
3041
ref
appTerm
absTerm
appTerm
nil
cons
cons
111
ref
71
ref
3398
remove
appTerm
3041
ref
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
175
ref
subst
proveHyp
256
ref
257
ref
3397
remove
nil
cons
cons
3915
ref
cons
nil
cons
cons
811
ref
subst
eqMp
eqMp
eqMp
eqMp
eqMp
nil
151
ref
3221
remove
cons
153
ref
3223
ref
cons
nil
cons
cons
nil
cons
cons
167
ref
subst
deductAntisym
eqMp
nil
110
ref
3220
remove
3222
ref
appTerm
nil
cons
cons
111
ref
71
ref
3222
ref
appTerm
3219
ref
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
194
ref
subst
proveHyp
226
ref
216
ref
nil
2460
ref
2441
ref
cons
nil
cons
cons
263
ref
36
ref
1147
remove
appTerm
1439
remove
appTerm
3936
def
absTerm
3937
def
627
ref
appTerm
3938
def
betaConv
227
ref
68
ref
3937
ref
appTerm
3939
def
absTerm
3940
def
233
ref
appTerm
3941
def
betaConv
22
ref
68
ref
3940
ref
appTerm
3942
def
absTerm
3943
def
37
ref
appTerm
3944
def
betaConv
994
remove
22
ref
225
ref
227
ref
225
ref
263
ref
3936
remove
assume
sym
2800
remove
assume
sym
deductAntisym
absThm
appThm
absThm
appThm
absThm
appThm
2806
remove
eqMp
nil
110
ref
108
ref
3943
ref
appTerm
nil
cons
cons
111
ref
3944
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
175
ref
subst
proveHyp
177
ref
178
ref
3943
remove
nil
cons
cons
180
ref
cons
nil
cons
cons
205
ref
subst
eqMp
eqMp
nil
110
ref
3942
remove
nil
cons
cons
111
ref
3941
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
175
ref
subst
proveHyp
261
ref
262
ref
3940
remove
nil
cons
cons
265
ref
cons
nil
cons
cons
205
ref
subst
eqMp
eqMp
nil
110
ref
3939
remove
nil
cons
cons
111
ref
3938
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
175
ref
subst
proveHyp
261
ref
262
ref
3937
remove
nil
cons
cons
3024
ref
cons
nil
cons
cons
205
ref
subst
eqMp
eqMp
subst
appThm
3399
remove
appThm
appThm
3219
ref
refl
appThm
sym
nil
2546
ref
2547
ref
2555
remove
cons
cons
nil
cons
cons
1890
ref
subst
eqMp
eqMp
eqMp
3945
def
appThm
3045
ref
refl
appThm
sym
nil
110
ref
3223
ref
cons
111
ref
3045
remove
nil
cons
3946
def
cons
nil
cons
3947
def
cons
nil
cons
cons
3948
def
126
ref
subst
3948
remove
194
ref
subst
nil
151
ref
3242
ref
cons
3915
remove
cons
nil
cons
cons
3949
def
167
ref
subst
3949
remove
334
ref
subst
216
ref
nil
139
ref
3242
remove
cons
nil
cons
nil
cons
cons
146
ref
subst
3039
remove
assume
eqMp
appThm
216
ref
3932
remove
146
ref
subst
3041
ref
assume
eqMp
3950
def
appThm
3042
ref
refl
appThm
nil
139
ref
3042
remove
nil
cons
3951
def
cons
nil
cons
nil
cons
cons
527
ref
subst
3952
def
trans
appThm
3952
remove
trans
sym
2418
ref
216
ref
2420
remove
appThm
3953
def
3950
remove
appThm
528
ref
trans
appThm
528
ref
trans
sym
145
ref
eqMp
nil
110
ref
2393
ref
49
ref
2374
remove
appTerm
3954
def
3041
remove
appTerm
appTerm
nil
cons
cons
111
ref
3951
remove
cons
nil
cons
cons
nil
cons
cons
175
ref
subst
proveHyp
nil
3385
ref
2404
ref
cons
3955
def
nil
cons
cons
3956
def
3152
remove
3156
remove
nil
3187
remove
111
ref
3155
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
175
ref
subst
3957
def
207
ref
208
ref
3154
remove
nil
cons
cons
210
ref
cons
nil
cons
cons
205
ref
subst
3958
def
eqMp
eqMp
nil
110
ref
3153
remove
nil
cons
cons
111
ref
3151
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
175
ref
subst
3959
def
proveHyp
207
ref
208
ref
3150
remove
nil
cons
cons
213
ref
cons
nil
cons
cons
205
ref
subst
3960
def
eqMp
eqMp
subst
eqMp
eqMp
nil
110
ref
3043
remove
nil
cons
cons
3947
remove
cons
nil
cons
cons
175
ref
subst
proveHyp
3046
ref
2361
ref
appTerm
3961
def
betaConv
3048
ref
2344
ref
appTerm
3962
def
betaConv
3050
ref
2314
ref
appTerm
3963
def
betaConv
3052
ref
2292
ref
appTerm
3964
def
betaConv
nil
110
ref
3066
remove
cons
111
ref
3964
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
175
ref
subst
261
ref
262
ref
3052
remove
nil
cons
cons
2438
ref
cons
nil
cons
cons
205
ref
subst
eqMp
eqMp
nil
110
ref
3051
remove
nil
cons
cons
111
ref
3963
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
175
ref
subst
proveHyp
207
ref
208
ref
3050
remove
nil
cons
cons
2404
ref
cons
nil
cons
cons
205
ref
subst
eqMp
eqMp
nil
110
ref
3049
remove
nil
cons
cons
111
ref
3962
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
175
ref
subst
proveHyp
261
ref
262
ref
3048
remove
nil
cons
cons
2441
ref
cons
nil
cons
cons
205
ref
subst
eqMp
eqMp
nil
110
ref
3047
remove
nil
cons
cons
111
ref
3961
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
175
ref
subst
proveHyp
207
ref
208
ref
3046
remove
nil
cons
cons
2407
ref
cons
nil
cons
cons
205
ref
subst
eqMp
eqMp
eqMp
proveHyp
proveHyp
eqMp
nil
151
ref
3223
remove
cons
153
ref
3946
remove
cons
nil
cons
cons
nil
cons
cons
167
ref
subst
deductAntisym
eqMp
eqMp
eqMp
proveHyp
proveHyp
eqMp
nil
2747
ref
153
ref
3209
remove
cons
nil
cons
3965
def
cons
nil
cons
cons
167
ref
subst
deductAntisym
eqMp
eqMp
eqMp
nil
2749
ref
3965
ref
cons
nil
cons
cons
167
ref
subst
deductAntisym
eqMp
eqMp
absThm
eqMp
nil
110
ref
99
ref
29
ref
2750
ref
3206
ref
appTerm
absTerm
appTerm
nil
cons
cons
111
ref
2751
ref
3206
ref
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
175
ref
subst
proveHyp
207
ref
2752
ref
3965
ref
cons
nil
cons
cons
811
ref
subst
eqMp
eqMp
eqMp
nil
2753
ref
3965
ref
cons
nil
cons
cons
167
ref
subst
deductAntisym
eqMp
eqMp
absThm
eqMp
nil
110
ref
68
ref
263
ref
2754
ref
3206
remove
appTerm
absTerm
appTerm
nil
cons
cons
111
ref
3207
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
175
ref
subst
proveHyp
261
ref
2755
ref
3965
remove
cons
nil
cons
cons
811
ref
subst
eqMp
eqMp
proveHyp
proveHyp
eqMp
nil
2756
ref
153
ref
3193
remove
cons
nil
cons
3966
def
cons
nil
cons
cons
167
ref
subst
deductAntisym
eqMp
eqMp
eqMp
nil
2758
ref
3966
ref
cons
nil
cons
cons
167
ref
subst
deductAntisym
eqMp
eqMp
absThm
eqMp
nil
110
ref
99
ref
1892
ref
2759
ref
3191
ref
appTerm
absTerm
appTerm
nil
cons
cons
111
ref
2760
ref
3191
ref
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
175
ref
subst
proveHyp
207
ref
2761
ref
3966
ref
cons
nil
cons
cons
811
ref
subst
eqMp
eqMp
eqMp
nil
2762
ref
3966
ref
cons
nil
cons
cons
167
ref
subst
deductAntisym
eqMp
eqMp
absThm
eqMp
nil
110
ref
68
ref
263
ref
1894
ref
3191
ref
appTerm
absTerm
appTerm
nil
cons
cons
111
ref
1895
ref
3191
remove
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
175
ref
subst
proveHyp
261
ref
1896
ref
3966
remove
cons
nil
cons
cons
811
ref
subst
eqMp
eqMp
eqMp
absThm
eqMp
eqMp
absThm
eqMp
eqMp
nil
151
ref
3186
remove
cons
153
ref
3188
remove
cons
nil
cons
cons
nil
cons
cons
167
ref
subst
deductAntisym
eqMp
eqMp
absThm
eqMp
eqMp
nil
110
ref
49
ref
3175
remove
appTerm
3185
remove
appTerm
nil
cons
cons
111
ref
65
ref
3158
ref
appTerm
nil
cons
3967
def
cons
nil
cons
cons
nil
cons
cons
175
ref
subst
proveHyp
226
ref
216
ref
3158
ref
220
ref
appTerm
betaConv
appThm
224
ref
48
ref
226
ref
3160
ref
appThm
3158
ref
309
ref
appTerm
betaConv
appThm
absThm
appThm
appThm
appThm
224
ref
48
ref
3160
remove
absThm
appThm
appThm
nil
1024
ref
3158
remove
nil
cons
3968
def
cons
nil
cons
nil
cons
cons
1904
ref
subst
eqMp
eqMp
nil
110
ref
3967
remove
cons
111
ref
3159
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
175
ref
subst
proveHyp
256
ref
257
ref
3968
remove
cons
293
ref
cons
nil
cons
cons
205
ref
subst
eqMp
eqMp
3957
remove
proveHyp
3958
remove
eqMp
eqMp
3959
remove
proveHyp
3960
remove
eqMp
eqMp
eqMp
eqMp
eqMp
eqMp
nil
151
ref
3116
ref
cons
3969
def
3174
ref
cons
nil
cons
cons
167
ref
subst
deductAntisym
eqMp
eqMp
absThm
eqMp
eqMp
eqMp
eqMp
nil
151
ref
3069
remove
cons
3970
def
3174
remove
cons
nil
cons
cons
167
ref
subst
deductAntisym
eqMp
eqMp
absThm
eqMp
eqMp
absThm
eqMp
proveHyp
proveHyp
eqMp
nil
151
ref
3055
remove
cons
153
ref
3063
remove
cons
nil
cons
cons
nil
cons
cons
167
ref
subst
deductAntisym
eqMp
3971
def
subst
eqMp
eqMp
eqMp
nil
99
ref
29
ref
99
ref
26
ref
65
ref
2856
ref
2857
ref
2871
remove
appTerm
absTerm
appTerm
absTerm
appTerm
absTerm
appTerm
thm
nil
262
ref
227
ref
99
ref
29
ref
68
ref
1170
ref
36
ref
72
ref
1218
ref
appTerm
3972
def
220
ref
appTerm
1181
ref
appTerm
appTerm
1183
remove
appTerm
3973
def
absTerm
3974
def
appTerm
3975
def
absTerm
3976
def
appTerm
3977
def
absTerm
3978
def
nil
cons
cons
nil
cons
nil
cons
cons
663
ref
subst
227
ref
nil
139
ref
3977
remove
nil
cons
cons
nil
cons
nil
cons
cons
146
ref
subst
nil
208
ref
3976
remove
nil
cons
cons
nil
cons
nil
cons
cons
643
ref
subst
29
ref
nil
139
ref
3975
remove
nil
cons
cons
nil
cons
nil
cons
cons
146
ref
subst
nil
262
ref
3974
remove
nil
cons
cons
nil
cons
nil
cons
cons
663
ref
subst
1170
ref
nil
139
ref
3973
remove
nil
cons
cons
nil
cons
nil
cons
cons
146
ref
subst
1330
ref
eqMp
absThm
eqMp
eqMp
absThm
eqMp
eqMp
absThm
eqMp
nil
68
ref
3978
remove
appTerm
thm
nil
178
ref
22
ref
71
ref
1007
remove
appTerm
1012
remove
appTerm
3979
def
absTerm
3980
def
nil
cons
cons
nil
cons
nil
cons
cons
1982
ref
subst
22
ref
nil
139
ref
3979
remove
nil
cons
cons
nil
cons
nil
cons
cons
146
ref
subst
1905
remove
eqMp
absThm
eqMp
nil
108
ref
3980
remove
appTerm
thm
nil
262
ref
263
ref
68
ref
1001
ref
68
ref
2165
ref
36
ref
532
ref
1151
ref
appTerm
3981
def
1963
ref
appTerm
3982
def
242
ref
2168
ref
appTerm
3983
def
appTerm
3984
def
appTerm
2169
ref
appTerm
3985
def
absTerm
3986
def
appTerm
3987
def
absTerm
3988
def
appTerm
3989
def
absTerm
3990
def
nil
cons
cons
nil
cons
nil
cons
cons
663
ref
subst
263
ref
nil
139
ref
3989
remove
nil
cons
cons
nil
cons
nil
cons
cons
146
ref
subst
nil
262
ref
3988
remove
nil
cons
cons
nil
cons
nil
cons
cons
663
ref
subst
1001
ref
nil
139
ref
3987
remove
nil
cons
cons
nil
cons
nil
cons
cons
146
ref
subst
nil
262
ref
3986
remove
nil
cons
cons
nil
cons
nil
cons
cons
663
ref
subst
2165
ref
nil
139
ref
3985
ref
nil
cons
cons
nil
cons
nil
cons
cons
146
ref
subst
155
ref
538
ref
1968
ref
appThm
1969
ref
appThm
3983
ref
refl
3991
def
appThm
appThm
2169
ref
refl
appThm
sym
nil
1001
ref
2168
ref
nil
cons
3992
def
cons
3993
def
1971
ref
1166
ref
540
remove
cons
cons
cons
nil
cons
cons
2537
ref
subst
eqMp
3994
def
eqMp
absThm
eqMp
eqMp
absThm
eqMp
eqMp
absThm
eqMp
3995
def
nil
68
ref
3990
remove
appTerm
thm
nil
262
ref
263
ref
68
ref
1001
ref
68
ref
2165
ref
36
ref
606
ref
1151
ref
appTerm
1963
ref
appTerm
3983
ref
appTerm
3996
def
appTerm
2779
ref
appTerm
3997
def
absTerm
3998
def
appTerm
3999
def
absTerm
4000
def
appTerm
4001
def
absTerm
4002
def
nil
cons
cons
nil
cons
nil
cons
cons
663
ref
subst
263
ref
nil
139
ref
4001
remove
nil
cons
cons
nil
cons
nil
cons
cons
146
ref
subst
nil
262
ref
4000
remove
nil
cons
cons
nil
cons
nil
cons
cons
663
ref
subst
1001
ref
nil
139
ref
3999
remove
nil
cons
cons
nil
cons
nil
cons
cons
146
ref
subst
nil
262
ref
3998
remove
nil
cons
cons
nil
cons
nil
cons
cons
663
ref
subst
2165
ref
nil
139
ref
3997
ref
nil
cons
cons
nil
cons
nil
cons
cons
146
ref
subst
155
ref
609
ref
1968
ref
appThm
1969
ref
appThm
3991
ref
appThm
appThm
2779
ref
refl
appThm
sym
nil
3993
ref
1971
ref
1166
ref
610
remove
cons
cons
cons
nil
cons
cons
2537
ref
subst
eqMp
4003
def
eqMp
absThm
eqMp
eqMp
absThm
eqMp
eqMp
absThm
eqMp
4004
def
nil
68
ref
4002
remove
appTerm
thm
nil
262
ref
263
ref
68
ref
1001
ref
68
ref
2165
ref
36
ref
615
ref
1151
ref
appTerm
1963
ref
appTerm
3983
ref
appTerm
4005
def
appTerm
2791
ref
appTerm
4006
def
absTerm
4007
def
appTerm
4008
def
absTerm
4009
def
appTerm
4010
def
absTerm
4011
def
nil
cons
cons
nil
cons
nil
cons
cons
663
ref
subst
263
ref
nil
139
ref
4010
remove
nil
cons
cons
nil
cons
nil
cons
cons
146
ref
subst
nil
262
ref
4009
remove
nil
cons
cons
nil
cons
nil
cons
cons
663
ref
subst
1001
ref
nil
139
ref
4008
remove
nil
cons
cons
nil
cons
nil
cons
cons
146
ref
subst
nil
262
ref
4007
remove
nil
cons
cons
nil
cons
nil
cons
cons
663
ref
subst
2165
ref
nil
139
ref
4006
ref
nil
cons
cons
nil
cons
nil
cons
cons
146
ref
subst
155
ref
618
ref
1968
ref
appThm
1969
ref
appThm
3991
ref
appThm
appThm
2791
ref
refl
appThm
sym
nil
3993
ref
1971
ref
1166
ref
619
remove
cons
cons
cons
nil
cons
cons
2537
ref
subst
eqMp
4012
def
eqMp
absThm
eqMp
eqMp
absThm
eqMp
eqMp
absThm
eqMp
4013
def
nil
68
ref
4011
remove
appTerm
thm
nil
262
ref
1943
ref
99
ref
29
ref
99
ref
26
ref
1118
ref
725
ref
542
ref
1945
ref
39
ref
appTerm
41
ref
appTerm
547
ref
appTerm
4014
def
absTerm
appTerm
appTerm
absTerm
appTerm
absTerm
appTerm
4015
def
absTerm
4016
def
nil
cons
cons
nil
cons
nil
cons
cons
663
ref
subst
1943
ref
nil
139
ref
4015
remove
nil
cons
cons
nil
cons
nil
cons
cons
146
ref
subst
624
ref
29
ref
624
ref
26
ref
2161
remove
997
ref
542
ref
1953
ref
625
remove
appThm
998
ref
appThm
2163
ref
appThm
4017
def
absThm
appThm
appThm
absThm
appThm
absThm
appThm
sym
1943
ref
68
ref
263
ref
68
ref
1001
ref
1000
ref
2165
ref
1947
ref
627
ref
appTerm
1002
ref
appTerm
2168
ref
appTerm
4018
def
absTerm
appTerm
absTerm
appTerm
absTerm
appTerm
absTerm
4019
def
1944
ref
appTerm
4020
def
betaConv
nil
68
ref
4019
ref
appTerm
4021
def
axiom
nil
110
ref
4021
remove
nil
cons
cons
111
ref
4020
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
175
ref
subst
proveHyp
261
ref
262
ref
4019
remove
nil
cons
cons
1952
ref
cons
nil
cons
cons
205
ref
subst
eqMp
eqMp
nil
110
ref
68
ref
69
ref
68
ref
70
ref
1000
ref
552
ref
1947
ref
76
ref
appTerm
81
ref
appTerm
556
ref
appTerm
4022
def
absTerm
appTerm
absTerm
appTerm
absTerm
appTerm
nil
cons
cons
111
ref
99
ref
29
ref
99
ref
26
ref
1118
ref
725
ref
542
ref
1948
ref
39
ref
appTerm
41
ref
appTerm
547
ref
appTerm
4023
def
absTerm
appTerm
appTerm
absTerm
appTerm
absTerm
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
175
ref
subst
proveHyp
1957
ref
2766
ref
subst
eqMp
eqMp
eqMp
absThm
eqMp
nil
68
ref
4016
remove
appTerm
thm
nil
208
ref
29
ref
99
ref
26
ref
65
ref
48
ref
71
ref
49
ref
1906
ref
appTerm
4024
def
58
ref
appTerm
appTerm
62
ref
appTerm
4025
def
absTerm
4026
def
appTerm
4027
def
absTerm
4028
def
appTerm
4029
def
absTerm
4030
def
nil
cons
cons
nil
cons
nil
cons
cons
643
ref
subst
29
ref
nil
139
ref
4029
remove
nil
cons
cons
nil
cons
nil
cons
cons
146
ref
subst
nil
208
ref
4028
remove
nil
cons
cons
nil
cons
nil
cons
cons
643
ref
subst
26
ref
nil
139
ref
4027
remove
nil
cons
cons
nil
cons
nil
cons
cons
146
ref
subst
nil
257
ref
4026
remove
nil
cons
cons
nil
cons
nil
cons
cons
662
ref
subst
48
ref
nil
139
ref
4025
remove
nil
cons
cons
nil
cons
nil
cons
cons
146
ref
subst
226
ref
216
ref
999
ref
appThm
4031
def
58
ref
refl
4032
def
appThm
appThm
62
ref
refl
4033
def
appThm
sym
25
ref
nil
110
ref
3225
remove
58
ref
appTerm
4034
def
nil
cons
4035
def
cons
3641
ref
cons
nil
cons
cons
4036
def
126
ref
subst
4036
remove
194
ref
subst
nil
3970
remove
153
ref
3085
ref
cons
nil
cons
4037
def
cons
nil
cons
cons
4038
def
167
ref
subst
4038
remove
334
ref
subst
36
ref
"_31866"
44
ref
var
4039
def
61
ref
4039
remove
varTerm
appTerm
absTerm
4040
def
57
ref
appTerm
4041
def
appTerm
refl
4040
ref
55
ref
appTerm
betaConv
appThm
155
ref
4041
remove
betaConv
appThm
61
ref
55
ref
appTerm
4042
def
refl
4043
def
appThm
trans
4040
remove
refl
3095
ref
sym
4044
def
appThm
eqMp
sym
4045
def
3107
ref
nil
3110
remove
111
ref
4042
ref
nil
cons
4046
def
cons
nil
cons
4047
def
cons
nil
cons
cons
175
ref
subst
proveHyp
3113
remove
4043
ref
appThm
sym
nil
257
ref
48
ref
71
ref
2201
ref
appTerm
4048
def
4042
ref
appTerm
4049
def
absTerm
nil
cons
cons
nil
cons
nil
cons
cons
662
ref
subst
48
ref
nil
139
ref
4049
remove
nil
cons
cons
nil
cons
nil
cons
cons
146
ref
subst
nil
110
ref
2201
ref
nil
cons
4050
def
cons
4051
def
4047
ref
cons
nil
cons
cons
4052
def
126
ref
subst
4052
remove
194
ref
subst
2202
ref
2201
remove
assume
eqMp
4053
def
nil
3117
ref
4047
ref
cons
nil
cons
cons
4054
def
175
ref
subst
proveHyp
4054
ref
126
ref
subst
4054
remove
194
ref
subst
nil
3086
ref
1108
ref
cons
nil
cons
cons
4055
def
167
ref
subst
4055
remove
334
ref
subst
3099
remove
3095
ref
appThm
2416
ref
trans
sym
145
ref
eqMp
proveHyp
proveHyp
eqMp
nil
3969
ref
153
ref
4046
remove
cons
nil
cons
4056
def
cons
nil
cons
cons
167
ref
subst
deductAntisym
eqMp
eqMp
eqMp
nil
151
ref
4050
remove
cons
4057
def
4056
ref
cons
nil
cons
cons
167
ref
subst
deductAntisym
eqMp
eqMp
absThm
eqMp
nil
110
ref
65
ref
258
ref
71
ref
2190
ref
797
ref
appTerm
appTerm
4058
def
4042
ref
appTerm
absTerm
appTerm
nil
cons
cons
111
ref
71
ref
2198
ref
appTerm
4059
def
4042
remove
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
175
ref
subst
proveHyp
256
ref
2196
ref
4056
remove
cons
nil
cons
cons
811
ref
subst
eqMp
4060
def
eqMp
eqMp
eqMp
proveHyp
proveHyp
eqMp
nil
151
ref
4035
remove
cons
1108
ref
cons
nil
cons
cons
167
ref
subst
deductAntisym
eqMp
4061
def
subst
eqMp
eqMp
absThm
eqMp
eqMp
absThm
eqMp
eqMp
absThm
eqMp
nil
99
ref
4030
remove
appTerm
thm
nil
208
ref
29
ref
99
ref
26
ref
65
ref
48
ref
71
ref
49
ref
1911
ref
appTerm
4062
def
58
ref
appTerm
appTerm
62
ref
appTerm
4063
def
absTerm
4064
def
appTerm
4065
def
absTerm
4066
def
appTerm
4067
def
absTerm
4068
def
nil
cons
cons
nil
cons
nil
cons
cons
643
ref
subst
29
ref
nil
139
ref
4067
remove
nil
cons
cons
nil
cons
nil
cons
cons
146
ref
subst
nil
208
ref
4066
remove
nil
cons
cons
nil
cons
nil
cons
cons
643
ref
subst
26
ref
nil
139
ref
4065
remove
nil
cons
cons
nil
cons
nil
cons
cons
146
ref
subst
nil
257
ref
4064
remove
nil
cons
cons
nil
cons
nil
cons
cons
662
ref
subst
48
ref
nil
139
ref
4063
remove
nil
cons
cons
nil
cons
nil
cons
cons
146
ref
subst
226
ref
216
ref
1907
ref
appThm
4069
def
4032
ref
appThm
appThm
4033
ref
appThm
sym
441
ref
4061
ref
subst
eqMp
eqMp
absThm
eqMp
eqMp
absThm
eqMp
eqMp
absThm
eqMp
nil
99
ref
4068
remove
appTerm
thm
nil
208
ref
29
ref
99
ref
26
ref
65
ref
48
ref
71
ref
49
ref
1915
ref
appTerm
4070
def
58
ref
appTerm
appTerm
62
ref
appTerm
4071
def
absTerm
4072
def
appTerm
4073
def
absTerm
4074
def
appTerm
4075
def
absTerm
4076
def
nil
cons
cons
nil
cons
nil
cons
cons
643
ref
subst
29
ref
nil
139
ref
4075
remove
nil
cons
cons
nil
cons
nil
cons
cons
146
ref
subst
nil
208
ref
4074
remove
nil
cons
cons
nil
cons
nil
cons
cons
643
ref
subst
26
ref
nil
139
ref
4073
remove
nil
cons
cons
nil
cons
nil
cons
cons
146
ref
subst
nil
257
ref
4072
remove
nil
cons
cons
nil
cons
nil
cons
cons
662
ref
subst
48
ref
nil
139
ref
4071
remove
nil
cons
cons
nil
cons
nil
cons
cons
146
ref
subst
226
ref
216
ref
1912
ref
appThm
4077
def
4032
ref
appThm
appThm
4033
ref
appThm
sym
447
ref
4061
ref
subst
eqMp
eqMp
absThm
eqMp
eqMp
absThm
eqMp
eqMp
absThm
eqMp
nil
99
ref
4076
remove
appTerm
thm
nil
208
ref
29
ref
99
ref
26
ref
65
ref
48
ref
71
ref
49
ref
449
ref
appTerm
4078
def
58
ref
appTerm
4079
def
appTerm
62
ref
appTerm
4080
def
absTerm
4081
def
appTerm
4082
def
absTerm
4083
def
appTerm
4084
def
absTerm
4085
def
nil
cons
cons
nil
cons
nil
cons
cons
643
ref
subst
29
ref
nil
139
ref
4084
remove
nil
cons
cons
nil
cons
nil
cons
cons
146
ref
subst
nil
208
ref
4083
remove
nil
cons
cons
nil
cons
nil
cons
cons
643
ref
subst
26
ref
nil
139
ref
4082
remove
nil
cons
cons
nil
cons
nil
cons
cons
146
ref
subst
nil
257
ref
4081
remove
nil
cons
cons
nil
cons
nil
cons
cons
662
ref
subst
48
ref
nil
139
ref
4080
remove
nil
cons
cons
nil
cons
nil
cons
cons
146
ref
subst
nil
110
ref
4079
remove
nil
cons
4086
def
cons
3641
remove
cons
nil
cons
cons
4087
def
126
ref
subst
4087
remove
194
ref
subst
nil
151
ref
449
ref
nil
cons
4088
def
cons
4089
def
4037
ref
cons
nil
cons
cons
4090
def
167
ref
subst
4090
remove
334
ref
subst
4045
remove
226
ref
486
ref
appThm
3073
ref
appThm
sym
nil
110
ref
479
ref
nil
cons
4091
def
cons
3079
ref
cons
nil
cons
cons
4092
def
126
ref
subst
4092
remove
194
ref
subst
nil
2765
ref
153
ref
478
remove
nil
cons
4093
def
cons
nil
cons
cons
nil
cons
cons
4094
def
167
ref
subst
4095
def
2197
remove
proveHyp
eqMp
nil
151
ref
4091
remove
cons
4096
def
3102
remove
cons
nil
cons
cons
167
ref
subst
deductAntisym
eqMp
eqMp
4097
def
nil
110
ref
71
ref
449
ref
appTerm
4098
def
2198
ref
appTerm
4099
def
nil
cons
4100
def
cons
4047
remove
cons
nil
cons
cons
175
ref
subst
proveHyp
226
ref
226
ref
nil
139
ref
4088
ref
cons
nil
cons
nil
cons
cons
146
ref
subst
449
ref
assume
eqMp
4101
def
appThm
3073
ref
appThm
3112
remove
trans
appThm
4043
remove
appThm
sym
4060
remove
eqMp
eqMp
eqMp
proveHyp
proveHyp
eqMp
nil
151
ref
4086
remove
cons
1108
remove
cons
nil
cons
cons
167
ref
subst
deductAntisym
eqMp
eqMp
absThm
eqMp
eqMp
absThm
eqMp
eqMp
absThm
eqMp
nil
99
ref
4085
remove
appTerm
thm
nil
208
ref
29
ref
99
ref
26
ref
2857
remove
2198
ref
appTerm
4102
def
absTerm
4103
def
appTerm
4104
def
absTerm
4105
def
nil
cons
cons
nil
cons
nil
cons
cons
643
ref
subst
29
ref
nil
139
ref
4104
remove
nil
cons
cons
nil
cons
nil
cons
cons
146
ref
subst
nil
208
ref
4103
remove
nil
cons
cons
nil
cons
nil
cons
cons
643
ref
subst
26
ref
nil
139
ref
4102
remove
nil
cons
cons
nil
cons
nil
cons
cons
146
ref
subst
2885
remove
3073
ref
appThm
sym
25
ref
3107
ref
subst
eqMp
eqMp
absThm
eqMp
eqMp
absThm
eqMp
nil
99
ref
4105
remove
appTerm
thm
nil
208
ref
29
ref
99
ref
26
ref
71
ref
1911
ref
appTerm
4106
def
2198
ref
appTerm
4107
def
absTerm
4108
def
appTerm
4109
def
absTerm
4110
def
nil
cons
cons
nil
cons
nil
cons
cons
643
ref
subst
29
ref
nil
139
ref
4109
remove
nil
cons
cons
nil
cons
nil
cons
cons
146
ref
subst
nil
208
ref
4108
remove
nil
cons
cons
nil
cons
nil
cons
cons
643
ref
subst
26
ref
nil
139
ref
4107
remove
nil
cons
cons
nil
cons
nil
cons
cons
146
ref
subst
226
ref
1907
remove
appThm
4111
def
3073
ref
appThm
sym
441
ref
3107
ref
subst
eqMp
eqMp
absThm
eqMp
eqMp
absThm
eqMp
nil
99
ref
4110
remove
appTerm
thm
nil
208
ref
29
ref
99
ref
26
ref
71
ref
1915
remove
appTerm
2198
ref
appTerm
4112
def
absTerm
4113
def
appTerm
4114
def
absTerm
4115
def
nil
cons
cons
nil
cons
nil
cons
cons
643
ref
subst
29
ref
nil
139
ref
4114
remove
nil
cons
cons
nil
cons
nil
cons
cons
146
ref
subst
nil
208
ref
4113
remove
nil
cons
cons
nil
cons
nil
cons
cons
643
ref
subst
26
ref
nil
139
ref
4112
remove
nil
cons
cons
nil
cons
nil
cons
cons
146
ref
subst
226
ref
1912
remove
appThm
3073
remove
appThm
sym
447
ref
3107
ref
subst
eqMp
eqMp
absThm
eqMp
eqMp
absThm
eqMp
nil
99
ref
4115
remove
appTerm
thm
nil
208
ref
29
ref
99
ref
26
ref
4099
remove
absTerm
4116
def
appTerm
4117
def
absTerm
4118
def
nil
cons
cons
nil
cons
nil
cons
cons
643
ref
subst
29
ref
nil
139
ref
4117
remove
nil
cons
cons
nil
cons
nil
cons
cons
146
ref
subst
nil
208
ref
4116
remove
nil
cons
cons
nil
cons
nil
cons
cons
643
ref
subst
26
ref
nil
139
ref
4100
remove
cons
nil
cons
nil
cons
cons
146
ref
subst
4097
remove
eqMp
absThm
eqMp
eqMp
absThm
eqMp
nil
99
ref
4118
remove
appTerm
thm
nil
262
ref
227
ref
99
ref
29
ref
99
ref
26
ref
36
ref
448
ref
1218
remove
appTerm
1078
ref
41
ref
appTerm
4119
def
243
ref
appTerm
4120
def
appTerm
4121
def
appTerm
449
ref
appTerm
4122
def
absTerm
4123
def
appTerm
4124
def
absTerm
4125
def
appTerm
4126
def
absTerm
4127
def
nil
cons
cons
nil
cons
nil
cons
cons
663
ref
subst
227
ref
nil
139
ref
4126
remove
nil
cons
cons
nil
cons
nil
cons
cons
146
ref
subst
nil
208
ref
4125
remove
nil
cons
cons
nil
cons
nil
cons
cons
643
ref
subst
29
ref
nil
139
ref
4124
remove
nil
cons
cons
nil
cons
nil
cons
cons
146
ref
subst
nil
208
ref
4123
remove
nil
cons
cons
nil
cons
nil
cons
cons
643
ref
subst
26
ref
nil
139
ref
4122
remove
nil
cons
cons
nil
cons
nil
cons
cons
146
ref
subst
nil
110
ref
4121
ref
nil
cons
4128
def
cons
111
ref
4088
ref
cons
nil
cons
cons
nil
cons
cons
335
ref
subst
226
ref
nil
26
ref
4120
ref
nil
cons
cons
1219
remove
cons
nil
cons
cons
486
ref
subst
216
ref
217
ref
nil
644
remove
1154
ref
cons
nil
cons
cons
1580
ref
subst
1289
remove
1797
ref
appThm
trans
4129
def
appThm
nil
1918
ref
213
ref
cons
nil
cons
cons
1580
ref
subst
456
ref
60
ref
appTerm
4130
def
refl
1162
ref
appThm
trans
appThm
appThm
224
ref
66
ref
224
ref
452
ref
225
ref
69
ref
225
ref
453
ref
226
ref
216
ref
461
ref
refl
4131
def
4129
remove
appThm
appThm
49
ref
3972
ref
74
ref
appTerm
76
ref
appTerm
appTerm
72
ref
4120
remove
appTerm
4132
def
458
ref
appTerm
4133
def
464
ref
appTerm
4134
def
appTerm
4135
def
refl
4136
def
appThm
appThm
520
ref
appThm
absThm
appThm
absThm
appThm
absThm
appThm
absThm
appThm
appThm
trans
appThm
486
ref
appThm
sym
226
ref
216
ref
217
ref
48
ref
52
ref
1284
ref
57
ref
appTerm
4137
def
appTerm
1237
ref
240
ref
appTerm
appTerm
absTerm
4138
def
55
ref
appTerm
4139
def
betaConv
1241
remove
240
ref
appTerm
4140
def
betaConv
1244
remove
nil
1245
remove
111
ref
4140
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
175
ref
subst
proveHyp
256
ref
1246
remove
704
ref
cons
nil
cons
cons
205
ref
subst
eqMp
eqMp
nil
110
ref
65
ref
4138
ref
appTerm
nil
cons
cons
111
ref
4139
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
175
ref
subst
proveHyp
256
ref
257
ref
4138
remove
nil
cons
cons
658
ref
cons
nil
cons
cons
205
ref
subst
eqMp
eqMp
4141
def
appThm
4130
remove
240
ref
appTerm
refl
appThm
appThm
224
ref
66
ref
224
ref
452
ref
225
ref
69
ref
225
ref
453
ref
226
ref
216
ref
4131
ref
4141
remove
appThm
appThm
4136
ref
appThm
appThm
520
ref
appThm
absThm
appThm
absThm
appThm
absThm
appThm
absThm
appThm
appThm
appThm
479
ref
refl
appThm
sym
226
ref
216
ref
nil
48
ref
1130
ref
cons
4142
def
"p"
44
ref
var
4143
def
269
ref
cons
4144
def
493
ref
657
ref
cons
nil
cons
cons
cons
nil
cons
cons
48
ref
36
ref
52
ref
497
ref
4143
ref
varTerm
4145
def
appTerm
4146
def
appTerm
1237
remove
4145
ref
appTerm
4147
def
appTerm
appTerm
3436
ref
appTerm
absTerm
4148
def
57
ref
appTerm
4149
def
betaConv
493
ref
65
ref
4148
ref
appTerm
4150
def
absTerm
4151
def
496
ref
appTerm
4152
def
betaConv
4143
ref
65
ref
4151
ref
appTerm
4153
def
absTerm
4154
def
4145
ref
appTerm
4155
def
betaConv
nil
65
ref
4154
ref
appTerm
4156
def
axiom
nil
110
ref
4156
remove
nil
cons
cons
111
ref
4155
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
175
ref
subst
proveHyp
256
ref
257
ref
4154
remove
nil
cons
cons
258
ref
4145
ref
nil
cons
cons
nil
cons
4157
def
cons
nil
cons
cons
205
ref
subst
eqMp
eqMp
nil
110
ref
4153
remove
nil
cons
cons
111
ref
4152
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
175
ref
subst
proveHyp
256
ref
257
ref
4151
remove
nil
cons
cons
509
ref
cons
nil
cons
cons
205
ref
subst
eqMp
eqMp
nil
110
ref
4150
remove
nil
cons
cons
111
ref
4149
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
175
ref
subst
proveHyp
256
ref
257
ref
4148
remove
nil
cons
cons
293
ref
cons
nil
cons
cons
205
ref
subst
eqMp
eqMp
4158
def
subst
appThm
224
ref
66
ref
224
ref
452
ref
225
ref
69
ref
225
ref
453
ref
226
ref
216
ref
217
ref
nil
4144
ref
48
ref
511
ref
cons
4159
def
495
ref
cons
4160
def
cons
nil
cons
cons
4143
ref
52
ref
497
ref
4147
remove
appTerm
4161
def
appTerm
456
ref
498
ref
appTerm
4145
ref
appTerm
4162
def
appTerm
4163
def
absTerm
4164
def
4145
ref
appTerm
4165
def
betaConv
48
ref
65
ref
4164
ref
appTerm
4166
def
absTerm
4167
def
57
ref
appTerm
4168
def
betaConv
493
ref
65
ref
4167
ref
appTerm
4169
def
absTerm
4170
def
496
ref
appTerm
4171
def
betaConv
nil
65
ref
4170
ref
appTerm
4172
def
axiom
4173
def
nil
110
ref
4172
remove
nil
cons
cons
111
ref
4171
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
175
ref
subst
proveHyp
256
ref
257
ref
4170
remove
nil
cons
cons
509
ref
cons
nil
cons
cons
205
ref
subst
eqMp
eqMp
nil
110
ref
4169
remove
nil
cons
cons
111
ref
4168
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
175
ref
subst
proveHyp
256
ref
257
ref
4167
remove
nil
cons
cons
293
ref
cons
nil
cons
cons
205
ref
subst
eqMp
eqMp
nil
110
ref
4166
remove
nil
cons
cons
111
ref
4165
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
175
ref
subst
proveHyp
256
ref
257
ref
4164
remove
nil
cons
cons
4157
ref
cons
nil
cons
cons
205
ref
subst
eqMp
eqMp
4174
def
subst
appThm
4175
def
1268
remove
240
ref
appTerm
refl
appThm
nil
1778
ref
4144
ref
493
ref
457
ref
458
ref
appTerm
4176
def
nil
cons
4177
def
cons
nil
cons
4178
def
cons
cons
nil
cons
cons
4158
ref
subst
trans
appThm
4136
remove
appThm
appThm
520
ref
appThm
absThm
appThm
absThm
appThm
absThm
appThm
absThm
appThm
appThm
appThm
451
ref
refl
224
ref
66
ref
224
ref
452
ref
225
ref
69
ref
225
ref
453
ref
226
ref
216
ref
4175
ref
1797
remove
appThm
appThm
466
ref
refl
4179
def
appThm
appThm
520
ref
appThm
absThm
appThm
absThm
appThm
absThm
appThm
absThm
appThm
appThm
appThm
sym
nil
110
ref
451
ref
65
ref
66
ref
65
ref
452
ref
68
ref
69
ref
68
ref
453
ref
71
ref
49
ref
52
ref
4176
ref
appTerm
55
ref
appTerm
appTerm
4135
remove
appTerm
4180
def
appTerm
469
ref
appTerm
absTerm
4181
def
appTerm
4182
def
absTerm
4183
def
appTerm
4184
def
absTerm
4185
def
appTerm
4186
def
absTerm
4187
def
appTerm
4188
def
appTerm
nil
cons
4189
def
cons
111
ref
451
ref
65
ref
66
ref
65
ref
452
ref
68
ref
69
ref
68
ref
453
ref
71
ref
49
ref
52
ref
456
ref
4176
ref
appTerm
240
ref
appTerm
4190
def
appTerm
4191
def
55
ref
appTerm
appTerm
466
ref
appTerm
appTerm
469
ref
appTerm
absTerm
appTerm
absTerm
appTerm
absTerm
appTerm
absTerm
appTerm
appTerm
nil
cons
4192
def
cons
nil
cons
cons
nil
cons
cons
4193
def
126
ref
subst
4193
remove
194
ref
subst
nil
2765
ref
153
ref
4188
ref
nil
cons
4194
def
cons
nil
cons
cons
nil
cons
cons
4195
def
167
ref
subst
4195
remove
334
ref
subst
2194
remove
224
ref
66
ref
224
ref
452
ref
225
ref
69
ref
225
ref
453
ref
226
ref
216
ref
4191
ref
refl
2191
ref
appThm
appThm
4179
ref
appThm
appThm
520
ref
appThm
absThm
appThm
absThm
appThm
absThm
appThm
absThm
appThm
appThm
nil
139
ref
65
ref
66
ref
65
ref
452
ref
68
ref
69
ref
68
ref
453
ref
71
ref
49
ref
4191
remove
60
ref
appTerm
appTerm
466
ref
appTerm
appTerm
469
ref
appTerm
absTerm
appTerm
absTerm
appTerm
absTerm
appTerm
absTerm
appTerm
nil
cons
cons
nil
cons
nil
cons
cons
527
ref
subst
trans
sym
224
ref
66
ref
224
ref
452
ref
225
ref
69
ref
225
ref
453
ref
226
ref
216
ref
217
ref
nil
270
ref
4178
ref
cons
nil
cons
cons
1247
ref
subst
appThm
2192
ref
appThm
appThm
4179
ref
appThm
appThm
520
ref
appThm
absThm
appThm
absThm
appThm
absThm
appThm
absThm
appThm
sym
224
ref
66
ref
224
ref
452
ref
225
ref
69
ref
225
ref
453
ref
226
ref
216
ref
217
ref
nil
4143
ref
511
remove
cons
1616
ref
493
ref
269
ref
cons
nil
cons
4196
def
cons
cons
nil
cons
cons
4174
ref
subst
appThm
2192
ref
appThm
appThm
4179
remove
appThm
appThm
520
ref
appThm
absThm
appThm
absThm
appThm
absThm
appThm
absThm
appThm
sym
nil
257
ref
66
ref
65
ref
452
ref
68
ref
69
ref
68
ref
453
ref
71
ref
49
ref
52
ref
456
ref
1285
ref
appTerm
458
ref
appTerm
appTerm
4197
def
60
ref
appTerm
4198
def
appTerm
466
ref
appTerm
4199
def
appTerm
469
ref
appTerm
4200
def
absTerm
4201
def
appTerm
4202
def
absTerm
4203
def
appTerm
4204
def
absTerm
4205
def
appTerm
4206
def
absTerm
nil
cons
cons
nil
cons
nil
cons
cons
662
ref
subst
66
ref
nil
139
ref
4206
remove
nil
cons
cons
nil
cons
nil
cons
cons
146
ref
subst
nil
257
ref
4205
remove
nil
cons
cons
nil
cons
nil
cons
cons
662
ref
subst
452
ref
nil
139
ref
4204
remove
nil
cons
cons
nil
cons
nil
cons
cons
146
ref
subst
nil
262
ref
4203
remove
nil
cons
cons
nil
cons
nil
cons
cons
663
ref
subst
69
ref
nil
139
ref
4202
remove
nil
cons
cons
nil
cons
nil
cons
cons
146
ref
subst
nil
262
ref
4201
remove
nil
cons
cons
nil
cons
nil
cons
cons
663
ref
subst
453
ref
nil
139
ref
4200
remove
nil
cons
cons
nil
cons
nil
cons
cons
146
ref
subst
nil
110
ref
4199
remove
nil
cons
4207
def
cons
1938
ref
cons
nil
cons
cons
4208
def
126
ref
subst
4208
remove
194
ref
subst
nil
151
ref
4198
ref
nil
cons
cons
153
ref
466
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
4209
def
167
ref
subst
4209
remove
334
ref
subst
nil
668
ref
153
ref
465
ref
nil
cons
4210
def
cons
nil
cons
4211
def
cons
nil
cons
cons
4212
def
167
ref
subst
4212
remove
334
ref
subst
66
ref
47
ref
452
ref
4180
ref
absTerm
4213
def
appTerm
4214
def
absTerm
4215
def
1285
ref
appTerm
betaConv
sym
452
ref
49
ref
4197
remove
55
ref
appTerm
appTerm
49
ref
3972
ref
1285
ref
appTerm
76
ref
appTerm
appTerm
4134
ref
appTerm
4216
def
appTerm
absTerm
4217
def
458
ref
appTerm
betaConv
sym
216
ref
217
ref
4198
remove
assume
4218
def
appThm
2191
ref
appThm
2193
remove
trans
appThm
4216
ref
refl
appThm
nil
139
ref
4216
remove
nil
cons
cons
nil
cons
nil
cons
cons
527
ref
subst
trans
sym
216
ref
3972
ref
refl
1222
remove
493
ref
52
ref
1284
ref
496
ref
appTerm
4219
def
appTerm
1223
ref
appTerm
4220
def
absTerm
4221
def
496
ref
appTerm
4222
def
betaConv
224
ref
493
ref
4220
remove
assume
sym
1224
ref
4219
remove
appTerm
4223
def
assume
sym
deductAntisym
absThm
appThm
224
ref
493
ref
1224
remove
refl
1233
remove
1247
ref
subst
appThm
absThm
appThm
1230
remove
eqMp
4224
def
eqMp
nil
110
ref
65
ref
4221
ref
appTerm
nil
cons
cons
111
ref
4222
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
175
ref
subst
proveHyp
256
ref
257
ref
4221
remove
nil
cons
cons
509
ref
cons
nil
cons
cons
205
ref
subst
eqMp
eqMp
subst
4225
def
appThm
1697
remove
appThm
1172
remove
1296
ref
subst
833
ref
trans
trans
appThm
4134
ref
refl
appThm
nil
139
ref
4134
ref
nil
cons
4226
def
cons
nil
cons
nil
cons
cons
527
ref
subst
trans
sym
"w'"
11
ref
var
4227
def
71
ref
1596
ref
458
ref
appTerm
4228
def
60
ref
appTerm
4229
def
appTerm
4230
def
36
ref
4133
remove
4227
ref
varTerm
4231
def
appTerm
appTerm
463
ref
4231
ref
appTerm
appTerm
appTerm
absTerm
4232
def
464
ref
appTerm
4233
def
betaConv
66
ref
68
ref
4227
remove
71
ref
1597
remove
60
ref
appTerm
4234
def
appTerm
4235
def
36
ref
4132
remove
74
ref
appTerm
4231
ref
appTerm
appTerm
80
ref
4231
remove
appTerm
appTerm
appTerm
absTerm
appTerm
absTerm
4236
def
458
ref
appTerm
4237
def
betaConv
1111
ref
65
ref
66
ref
68
ref
227
ref
4235
remove
36
ref
72
ref
4119
ref
1113
remove
appTerm
appTerm
74
ref
appTerm
233
ref
appTerm
appTerm
1657
ref
appTerm
appTerm
absTerm
appTerm
absTerm
appTerm
absTerm
4238
def
243
ref
appTerm
4239
def
betaConv
1775
remove
41
ref
appTerm
4240
def
betaConv
1831
ref
nil
1833
remove
111
ref
4240
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
175
ref
subst
proveHyp
207
ref
1777
remove
213
ref
cons
nil
cons
cons
205
ref
subst
eqMp
eqMp
nil
110
ref
99
ref
4238
ref
appTerm
nil
cons
cons
111
ref
4239
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
175
ref
subst
proveHyp
207
ref
208
ref
4238
remove
nil
cons
cons
1154
ref
cons
nil
cons
cons
205
ref
subst
eqMp
eqMp
nil
110
ref
65
ref
4236
ref
appTerm
nil
cons
cons
111
ref
4237
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
175
ref
subst
proveHyp
256
ref
257
ref
4236
remove
nil
cons
cons
3785
ref
cons
nil
cons
cons
205
ref
subst
eqMp
eqMp
nil
110
ref
68
ref
4232
ref
appTerm
nil
cons
cons
111
ref
4233
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
175
ref
subst
proveHyp
261
ref
262
ref
4232
remove
nil
cons
cons
263
ref
1924
ref
cons
nil
cons
4241
def
cons
nil
cons
cons
205
ref
subst
eqMp
eqMp
nil
110
ref
4230
remove
36
ref
4134
ref
appTerm
465
ref
appTerm
4242
def
appTerm
4243
def
nil
cons
cons
111
ref
4226
ref
cons
nil
cons
4244
def
cons
nil
cons
cons
175
ref
subst
proveHyp
4228
ref
refl
4245
def
4218
remove
sym
appThm
sym
4245
remove
1288
ref
4225
remove
appThm
458
ref
refl
appThm
nil
4160
remove
nil
cons
cons
4246
def
3378
ref
subst
trans
appThm
nil
48
ref
4177
remove
cons
512
ref
cons
nil
cons
cons
48
ref
36
ref
1605
remove
309
ref
appTerm
appTerm
1617
remove
appTerm
absTerm
4247
def
57
ref
appTerm
4248
def
betaConv
493
ref
65
ref
4247
ref
appTerm
4249
def
absTerm
4250
def
496
ref
appTerm
4251
def
betaConv
nil
65
ref
4250
ref
appTerm
4252
def
axiom
nil
110
ref
4252
remove
nil
cons
cons
111
ref
4251
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
175
ref
subst
proveHyp
256
ref
257
ref
4250
remove
nil
cons
cons
509
ref
cons
nil
cons
cons
205
ref
subst
eqMp
eqMp
nil
110
ref
4249
remove
nil
cons
cons
111
ref
4248
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
175
ref
subst
proveHyp
256
ref
257
ref
4247
remove
nil
cons
cons
293
ref
cons
nil
cons
cons
205
ref
subst
eqMp
eqMp
subst
nil
494
remove
4159
ref
nil
cons
cons
nil
cons
cons
nil
139
ref
1608
remove
498
ref
appTerm
4253
def
nil
cons
cons
nil
cons
nil
cons
cons
146
ref
subst
48
ref
4253
remove
absTerm
4254
def
57
ref
appTerm
4255
def
betaConv
493
ref
65
ref
4254
ref
appTerm
4256
def
absTerm
4257
def
496
ref
appTerm
4258
def
betaConv
nil
65
ref
4257
ref
appTerm
4259
def
axiom
nil
110
ref
4259
remove
nil
cons
cons
111
ref
4258
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
175
ref
subst
proveHyp
256
ref
257
ref
4257
remove
nil
cons
cons
509
ref
cons
nil
cons
cons
205
ref
subst
eqMp
eqMp
nil
110
ref
4256
remove
nil
cons
cons
111
ref
4255
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
175
ref
subst
proveHyp
256
ref
257
ref
4254
remove
nil
cons
cons
293
ref
cons
nil
cons
cons
205
ref
subst
eqMp
eqMp
eqMp
subst
trans
trans
sym
145
ref
eqMp
eqMp
nil
110
ref
4229
ref
nil
cons
cons
4260
def
111
ref
71
ref
4242
ref
appTerm
4134
ref
appTerm
4261
def
nil
cons
cons
nil
cons
cons
nil
cons
cons
194
ref
subst
proveHyp
nil
110
ref
4242
ref
nil
cons
4262
def
cons
4244
remove
cons
nil
cons
cons
4263
def
126
ref
subst
4263
remove
194
ref
subst
4242
remove
assume
sym
465
ref
assume
4264
def
eqMp
eqMp
nil
151
ref
4262
ref
cons
153
ref
4226
ref
cons
nil
cons
cons
nil
cons
cons
167
ref
subst
deductAntisym
eqMp
eqMp
nil
110
ref
49
ref
4229
ref
appTerm
4261
remove
appTerm
nil
cons
cons
111
ref
71
ref
4243
remove
appTerm
4134
remove
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
175
ref
subst
proveHyp
nil
1340
ref
4226
remove
cons
111
ref
4262
remove
cons
4260
remove
nil
cons
cons
cons
nil
cons
cons
nil
110
ref
116
remove
1347
ref
appTerm
nil
cons
4265
def
cons
111
ref
71
ref
115
remove
appTerm
1341
remove
appTerm
nil
cons
4266
def
cons
nil
cons
cons
nil
cons
cons
4267
def
126
ref
subst
4267
remove
194
ref
subst
nil
327
remove
111
ref
2247
ref
cons
nil
cons
4268
def
cons
nil
cons
cons
4269
def
126
ref
subst
4269
remove
194
ref
subst
nil
152
remove
153
ref
1347
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
4270
def
167
ref
subst
175
ref
proveHyp
169
remove
eqMp
nil
330
remove
4268
remove
cons
nil
cons
cons
175
ref
subst
proveHyp
4270
remove
334
ref
subst
eqMp
eqMp
nil
332
remove
153
ref
2247
remove
cons
nil
cons
cons
nil
cons
cons
167
ref
subst
deductAntisym
eqMp
eqMp
nil
151
ref
4265
remove
cons
153
ref
4266
remove
cons
nil
cons
cons
nil
cons
cons
167
ref
subst
deductAntisym
eqMp
4271
def
subst
eqMp
eqMp
eqMp
eqMp
eqMp
256
ref
257
ref
4217
remove
nil
cons
cons
3785
ref
cons
nil
cons
cons
724
ref
subst
proveHyp
eqMp
256
ref
257
ref
4215
ref
nil
cons
cons
4272
def
258
ref
1285
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
724
ref
subst
proveHyp
nil
110
ref
47
ref
4215
ref
appTerm
4273
def
nil
cons
4274
def
cons
4275
def
1938
ref
cons
nil
cons
cons
4276
def
175
ref
subst
proveHyp
4276
ref
126
ref
subst
4276
remove
194
ref
subst
nil
110
ref
4194
ref
cons
4277
def
1938
ref
cons
nil
cons
cons
4278
def
175
ref
subst
nil
4275
remove
111
ref
71
ref
4188
remove
appTerm
469
ref
appTerm
4279
def
nil
cons
4280
def
cons
nil
cons
4281
def
cons
nil
cons
cons
175
ref
subst
nil
257
ref
66
ref
71
ref
4215
ref
74
ref
appTerm
4282
def
appTerm
4279
ref
appTerm
4283
def
absTerm
nil
cons
cons
nil
cons
nil
cons
cons
662
ref
subst
66
ref
nil
139
ref
4283
remove
nil
cons
cons
nil
cons
nil
cons
cons
146
ref
subst
nil
110
ref
4282
ref
nil
cons
4284
def
cons
4281
ref
cons
nil
cons
cons
4285
def
126
ref
subst
4285
remove
194
ref
subst
4282
ref
betaConv
4282
remove
assume
eqMp
nil
110
ref
4214
ref
nil
cons
cons
4281
ref
cons
nil
cons
cons
175
ref
subst
proveHyp
nil
257
ref
452
ref
71
ref
4213
ref
458
ref
appTerm
4286
def
appTerm
4279
ref
appTerm
4287
def
absTerm
nil
cons
cons
nil
cons
nil
cons
cons
662
ref
subst
452
ref
nil
139
ref
4287
remove
nil
cons
cons
nil
cons
nil
cons
cons
146
ref
subst
nil
110
ref
4286
ref
nil
cons
4288
def
cons
4281
ref
cons
nil
cons
cons
4289
def
126
ref
subst
4289
remove
194
ref
subst
4286
ref
betaConv
4286
remove
assume
eqMp
nil
110
ref
4180
remove
nil
cons
4290
def
cons
4291
def
4281
remove
cons
nil
cons
cons
4292
def
175
ref
subst
proveHyp
4292
ref
126
ref
subst
4292
remove
194
ref
subst
4278
ref
126
ref
subst
4278
remove
194
ref
subst
nil
4291
remove
1938
ref
cons
nil
cons
cons
175
ref
subst
4181
ref
464
ref
appTerm
4293
def
betaConv
4183
ref
76
ref
appTerm
4294
def
betaConv
4185
ref
458
ref
appTerm
4295
def
betaConv
4187
ref
74
ref
appTerm
4296
def
betaConv
nil
4277
remove
111
ref
4296
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
175
ref
subst
256
ref
257
ref
4187
remove
nil
cons
cons
260
ref
cons
nil
cons
cons
205
ref
subst
eqMp
eqMp
nil
110
ref
4186
remove
nil
cons
cons
111
ref
4295
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
175
ref
subst
proveHyp
256
ref
257
ref
4185
remove
nil
cons
cons
3785
ref
cons
nil
cons
cons
205
ref
subst
eqMp
eqMp
nil
110
ref
4184
remove
nil
cons
cons
111
ref
4294
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
175
ref
subst
proveHyp
261
ref
262
ref
4183
remove
nil
cons
cons
824
ref
cons
nil
cons
cons
205
ref
subst
eqMp
eqMp
nil
110
ref
4182
remove
nil
cons
cons
111
ref
4293
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
175
ref
subst
proveHyp
261
ref
262
ref
4181
remove
nil
cons
cons
4241
ref
cons
nil
cons
cons
205
ref
subst
eqMp
eqMp
eqMp
eqMp
nil
151
ref
4194
remove
cons
1941
ref
cons
nil
cons
cons
167
ref
subst
deductAntisym
eqMp
eqMp
nil
151
ref
4290
remove
cons
153
ref
4280
remove
cons
nil
cons
4297
def
cons
nil
cons
cons
167
ref
subst
deductAntisym
eqMp
eqMp
eqMp
nil
151
ref
4288
remove
cons
4297
ref
cons
nil
cons
cons
167
ref
subst
deductAntisym
eqMp
eqMp
absThm
eqMp
nil
110
ref
65
ref
258
ref
71
ref
4213
ref
797
ref
appTerm
appTerm
4279
ref
appTerm
absTerm
appTerm
nil
cons
cons
111
ref
71
ref
4214
remove
appTerm
4279
ref
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
175
ref
subst
proveHyp
256
ref
257
ref
4213
remove
nil
cons
cons
4297
ref
cons
nil
cons
cons
811
ref
subst
eqMp
eqMp
eqMp
nil
151
ref
4284
remove
cons
4297
ref
cons
nil
cons
cons
167
ref
subst
deductAntisym
eqMp
eqMp
absThm
eqMp
nil
110
ref
65
ref
258
ref
71
ref
4215
remove
797
ref
appTerm
appTerm
4279
ref
appTerm
absTerm
appTerm
nil
cons
cons
111
ref
71
ref
4273
remove
appTerm
4279
remove
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
175
ref
subst
proveHyp
256
ref
4272
remove
4297
remove
cons
nil
cons
cons
811
ref
subst
eqMp
eqMp
eqMp
eqMp
nil
151
ref
4274
remove
cons
1941
ref
cons
nil
cons
cons
167
ref
subst
deductAntisym
eqMp
eqMp
proveHyp
proveHyp
proveHyp
proveHyp
eqMp
nil
151
ref
4207
remove
cons
1941
ref
cons
nil
cons
cons
167
ref
subst
deductAntisym
eqMp
eqMp
absThm
eqMp
eqMp
absThm
eqMp
eqMp
absThm
eqMp
eqMp
absThm
eqMp
eqMp
eqMp
eqMp
proveHyp
proveHyp
eqMp
nil
151
ref
4189
remove
cons
153
ref
4192
remove
cons
nil
cons
cons
nil
cons
cons
167
ref
subst
deductAntisym
eqMp
eqMp
eqMp
eqMp
nil
110
ref
71
ref
4121
ref
appTerm
449
ref
appTerm
nil
cons
cons
111
ref
4098
remove
4121
remove
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
194
ref
subst
proveHyp
nil
110
ref
4088
remove
cons
111
ref
4128
ref
cons
nil
cons
4298
def
cons
nil
cons
cons
4299
def
126
ref
subst
4299
remove
194
ref
subst
216
ref
1942
remove
appThm
4101
remove
appThm
528
ref
trans
sym
145
ref
eqMp
nil
110
ref
49
ref
1916
remove
appTerm
449
remove
appTerm
nil
cons
cons
4298
remove
cons
nil
cons
cons
175
ref
subst
proveHyp
nil
1440
ref
267
ref
cons
1441
ref
211
ref
cons
1442
ref
209
ref
cons
1445
remove
cons
cons
cons
nil
cons
cons
226
ref
216
ref
nil
1456
ref
1452
ref
cons
nil
cons
cons
486
ref
subst
appThm
nil
1448
ref
1460
ref
cons
nil
cons
cons
486
ref
subst
appThm
appThm
1469
remove
486
ref
subst
216
ref
217
ref
1581
ref
appThm
1590
remove
appThm
appThm
224
ref
66
ref
224
ref
452
ref
225
ref
69
ref
225
ref
453
ref
226
ref
216
ref
4131
ref
1581
remove
appThm
appThm
1516
remove
1517
ref
458
ref
appTerm
4300
def
464
ref
appTerm
4301
def
appTerm
4302
def
refl
appThm
appThm
520
ref
appThm
absThm
appThm
absThm
appThm
absThm
appThm
absThm
appThm
appThm
trans
appThm
sym
nil
110
ref
49
ref
49
ref
1471
ref
1494
ref
appTerm
4303
def
appTerm
65
ref
66
ref
65
ref
452
ref
68
ref
69
ref
68
ref
453
ref
71
ref
49
ref
461
ref
1470
ref
appTerm
appTerm
1478
ref
1499
remove
458
ref
appTerm
464
ref
appTerm
appTerm
appTerm
appTerm
469
ref
appTerm
absTerm
appTerm
absTerm
appTerm
absTerm
4304
def
appTerm
4305
def
absTerm
4306
def
appTerm
4307
def
appTerm
4308
def
appTerm
49
ref
1492
ref
1473
ref
appTerm
4309
def
appTerm
65
ref
66
ref
65
ref
452
ref
68
ref
69
ref
68
ref
453
ref
71
ref
49
ref
461
ref
1491
ref
appTerm
appTerm
1498
remove
1479
remove
458
ref
appTerm
4310
def
464
ref
appTerm
4311
def
appTerm
appTerm
appTerm
469
ref
appTerm
absTerm
appTerm
absTerm
appTerm
absTerm
appTerm
absTerm
4312
def
appTerm
4313
def
appTerm
4314
def
appTerm
nil
cons
4315
def
cons
111
ref
49
ref
52
ref
1689
remove
1491
ref
appTerm
4316
def
appTerm
1710
remove
1494
ref
appTerm
4317
def
appTerm
4318
def
appTerm
65
ref
66
ref
65
ref
452
ref
68
ref
69
ref
68
ref
453
ref
71
ref
49
ref
461
ref
4316
ref
appTerm
4319
def
appTerm
4302
ref
appTerm
4320
def
appTerm
469
ref
appTerm
4321
def
absTerm
4322
def
appTerm
4323
def
absTerm
4324
def
appTerm
4325
def
absTerm
4326
def
appTerm
4327
def
absTerm
4328
def
appTerm
4329
def
appTerm
nil
cons
4330
def
cons
nil
cons
cons
nil
cons
cons
4331
def
126
ref
subst
4331
remove
194
ref
subst
nil
151
ref
4308
remove
nil
cons
cons
153
ref
4314
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
4332
def
167
ref
subst
4332
remove
334
ref
subst
nil
151
ref
4303
ref
nil
cons
cons
153
ref
4307
remove
nil
cons
4333
def
cons
nil
cons
cons
nil
cons
cons
4334
def
167
ref
subst
4334
remove
334
ref
subst
nil
151
ref
4309
ref
nil
cons
cons
153
ref
4313
remove
nil
cons
4335
def
cons
nil
cons
cons
nil
cons
cons
4336
def
167
ref
subst
4336
remove
334
ref
subst
217
ref
1288
ref
4303
remove
assume
appThm
4309
remove
assume
4337
def
appThm
appThm
4317
remove
refl
appThm
sym
nil
48
ref
1473
ref
nil
cons
4338
def
cons
4339
def
493
ref
1494
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
1247
ref
subst
eqMp
nil
110
ref
4318
remove
nil
cons
cons
111
ref
4329
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
194
ref
subst
proveHyp
nil
257
ref
4328
remove
nil
cons
cons
nil
cons
nil
cons
cons
662
ref
subst
66
ref
nil
139
ref
4327
remove
nil
cons
cons
nil
cons
nil
cons
cons
146
ref
subst
nil
257
ref
4326
remove
nil
cons
cons
nil
cons
nil
cons
cons
662
ref
subst
452
ref
nil
139
ref
4325
remove
nil
cons
cons
nil
cons
nil
cons
cons
146
ref
subst
nil
262
ref
4324
remove
nil
cons
cons
nil
cons
nil
cons
cons
663
ref
subst
69
ref
nil
139
ref
4323
remove
nil
cons
cons
nil
cons
nil
cons
cons
146
ref
subst
nil
262
ref
4322
remove
nil
cons
cons
nil
cons
nil
cons
cons
663
ref
subst
453
ref
nil
139
ref
4321
remove
nil
cons
cons
nil
cons
nil
cons
cons
146
ref
subst
nil
110
ref
4320
remove
nil
cons
4340
def
cons
1938
ref
cons
nil
cons
cons
4341
def
126
ref
subst
4341
remove
194
ref
subst
nil
151
ref
4319
ref
nil
cons
4342
def
cons
153
ref
4302
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
4343
def
167
ref
subst
4343
remove
334
ref
subst
nil
151
ref
1515
ref
nil
cons
4344
def
cons
153
ref
4301
ref
nil
cons
4345
def
cons
nil
cons
cons
nil
cons
cons
4346
def
167
ref
subst
4346
remove
334
ref
subst
nil
110
ref
308
ref
1756
ref
appTerm
4347
def
nil
cons
4348
def
cons
1938
ref
cons
nil
cons
cons
4349
def
126
ref
subst
4349
remove
194
ref
subst
nil
110
ref
4342
remove
cons
4350
def
1938
ref
cons
nil
cons
cons
175
ref
subst
nil
48
ref
1470
ref
nil
cons
4351
def
cons
495
ref
cons
nil
cons
cons
4352
def
1615
remove
subst
nil
1616
remove
493
ref
4351
remove
cons
nil
cons
4353
def
cons
nil
cons
cons
1626
remove
subst
trans
4347
remove
assume
eqMp
nil
110
ref
47
ref
1618
ref
294
remove
1690
ref
appTerm
4354
def
absTerm
4355
def
appTerm
4356
def
nil
cons
cons
111
ref
71
ref
4319
remove
appTerm
4357
def
469
ref
appTerm
4358
def
nil
cons
4359
def
cons
nil
cons
4360
def
cons
nil
cons
cons
175
ref
subst
proveHyp
nil
257
ref
1618
ref
71
ref
4355
ref
1619
ref
appTerm
4361
def
appTerm
4358
ref
appTerm
4362
def
absTerm
nil
cons
cons
nil
cons
nil
cons
cons
662
ref
subst
1618
ref
nil
139
ref
4362
remove
nil
cons
cons
nil
cons
nil
cons
cons
146
ref
subst
nil
110
ref
4361
ref
nil
cons
4363
def
cons
4360
ref
cons
nil
cons
cons
4364
def
126
ref
subst
4364
remove
194
ref
subst
4361
ref
betaConv
4361
remove
assume
eqMp
nil
110
ref
4354
ref
nil
cons
4365
def
cons
4360
remove
cons
nil
cons
cons
4366
def
175
ref
subst
proveHyp
4366
ref
126
ref
subst
4366
remove
194
ref
subst
36
ref
"_31892"
44
ref
var
4367
def
71
ref
52
ref
456
ref
4367
remove
varTerm
appTerm
460
ref
appTerm
appTerm
4316
ref
appTerm
appTerm
469
ref
appTerm
absTerm
4368
def
74
ref
appTerm
4369
def
appTerm
refl
4368
ref
1690
ref
appTerm
betaConv
appThm
155
ref
4369
remove
betaConv
appThm
71
ref
52
ref
456
ref
1690
ref
appTerm
460
ref
appTerm
appTerm
4316
ref
appTerm
appTerm
469
ref
appTerm
refl
appThm
trans
4368
remove
refl
4354
remove
assume
4370
def
appThm
eqMp
sym
226
ref
217
ref
nil
4143
ref
460
ref
nil
cons
4371
def
cons
48
ref
1653
ref
cons
4372
def
4353
ref
cons
cons
nil
cons
cons
4143
ref
52
ref
4162
remove
appTerm
4161
remove
appTerm
4373
def
absTerm
4374
def
4145
ref
appTerm
4375
def
betaConv
48
ref
65
ref
4374
ref
appTerm
4376
def
absTerm
4377
def
57
ref
appTerm
4378
def
betaConv
493
ref
65
ref
4377
ref
appTerm
4379
def
absTerm
4380
def
496
ref
appTerm
4381
def
betaConv
224
ref
493
ref
224
ref
48
ref
224
ref
4143
ref
4373
remove
assume
sym
4163
remove
assume
sym
deductAntisym
absThm
appThm
absThm
appThm
absThm
appThm
4173
remove
eqMp
nil
110
ref
65
ref
4380
ref
appTerm
nil
cons
cons
111
ref
4381
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
175
ref
subst
proveHyp
256
ref
257
ref
4380
remove
nil
cons
cons
509
ref
cons
nil
cons
cons
205
ref
subst
eqMp
eqMp
nil
110
ref
4379
remove
nil
cons
cons
111
ref
4378
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
175
ref
subst
proveHyp
256
ref
257
ref
4377
remove
nil
cons
cons
293
ref
cons
nil
cons
cons
205
ref
subst
eqMp
eqMp
nil
110
ref
4376
remove
nil
cons
cons
111
ref
4375
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
175
ref
subst
proveHyp
256
ref
257
ref
4374
remove
nil
cons
cons
4157
ref
cons
nil
cons
cons
205
ref
subst
eqMp
eqMp
4382
def
subst
appThm
4316
remove
refl
appThm
nil
4143
ref
1491
ref
nil
cons
4383
def
cons
4384
def
48
ref
456
ref
1619
ref
appTerm
4385
def
460
remove
appTerm
4386
def
nil
cons
cons
4353
remove
cons
cons
nil
cons
cons
4143
ref
36
ref
499
remove
4146
remove
appTerm
appTerm
276
ref
4145
ref
appTerm
appTerm
absTerm
4387
def
4145
remove
appTerm
4388
def
betaConv
48
ref
65
ref
4387
ref
appTerm
4389
def
absTerm
4390
def
57
ref
appTerm
4391
def
betaConv
493
ref
65
ref
4390
ref
appTerm
4392
def
absTerm
4393
def
496
ref
appTerm
4394
def
betaConv
nil
65
ref
4393
ref
appTerm
4395
def
axiom
nil
110
ref
4395
remove
nil
cons
cons
111
ref
4394
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
175
ref
subst
proveHyp
256
ref
257
ref
4393
remove
nil
cons
cons
509
ref
cons
nil
cons
cons
205
ref
subst
eqMp
eqMp
nil
110
ref
4392
remove
nil
cons
cons
111
ref
4391
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
175
ref
subst
proveHyp
256
ref
257
ref
4390
remove
nil
cons
cons
293
ref
cons
nil
cons
cons
205
ref
subst
eqMp
eqMp
nil
110
ref
4389
remove
nil
cons
cons
111
ref
4388
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
175
ref
subst
proveHyp
256
ref
257
ref
4387
remove
nil
cons
cons
4157
remove
cons
nil
cons
cons
205
ref
subst
eqMp
eqMp
4396
def
subst
trans
appThm
520
ref
appThm
sym
nil
110
ref
52
ref
4386
ref
appTerm
4397
def
1491
ref
appTerm
4398
def
nil
cons
4399
def
cons
1938
ref
cons
nil
cons
cons
4400
def
126
ref
subst
4400
remove
194
ref
subst
36
ref
"_31902"
44
ref
var
4401
def
1513
remove
4401
remove
varTerm
appTerm
76
ref
appTerm
absTerm
4402
def
74
ref
appTerm
4403
def
appTerm
refl
4402
ref
1690
remove
appTerm
betaConv
appThm
155
ref
4403
remove
betaConv
appThm
1691
ref
refl
appThm
trans
4402
remove
refl
4370
remove
appThm
eqMp
1515
remove
assume
4404
def
eqMp
nil
110
ref
1691
remove
nil
cons
cons
1938
ref
cons
nil
cons
cons
175
ref
subst
proveHyp
226
ref
1688
remove
appThm
520
ref
appThm
sym
nil
110
ref
1692
ref
nil
cons
4405
def
cons
1938
ref
cons
nil
cons
cons
4406
def
126
ref
subst
4406
remove
194
ref
subst
227
ref
71
ref
4228
remove
1473
ref
appTerm
4407
def
appTerm
4408
def
36
ref
4300
remove
233
ref
appTerm
appTerm
4310
remove
233
ref
appTerm
appTerm
appTerm
absTerm
4409
def
464
ref
appTerm
4410
def
betaConv
1854
remove
458
ref
appTerm
4411
def
betaConv
1859
remove
nil
1860
remove
111
ref
4411
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
175
ref
subst
proveHyp
256
ref
1861
remove
3785
ref
cons
nil
cons
cons
205
ref
subst
eqMp
eqMp
nil
110
ref
68
ref
4409
ref
appTerm
nil
cons
cons
111
ref
4410
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
175
ref
subst
proveHyp
261
ref
262
ref
4409
remove
nil
cons
cons
4241
ref
cons
nil
cons
cons
205
ref
subst
eqMp
eqMp
nil
110
ref
4408
remove
36
ref
4301
ref
appTerm
4311
ref
appTerm
4412
def
appTerm
4413
def
nil
cons
cons
1938
ref
cons
nil
cons
cons
175
ref
subst
proveHyp
nil
4339
remove
512
ref
cons
nil
cons
cons
48
ref
1780
ref
47
ref
1618
ref
276
ref
497
ref
300
ref
1619
ref
appTerm
4414
def
appTerm
appTerm
absTerm
appTerm
appTerm
absTerm
4415
def
57
ref
appTerm
4416
def
betaConv
493
ref
65
ref
4415
ref
appTerm
4417
def
absTerm
4418
def
496
ref
appTerm
4419
def
betaConv
nil
65
ref
4418
ref
appTerm
4420
def
axiom
4421
def
nil
110
ref
4420
remove
nil
cons
cons
111
ref
4419
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
175
ref
subst
proveHyp
256
ref
257
ref
4418
remove
nil
cons
cons
509
ref
cons
nil
cons
cons
205
ref
subst
eqMp
eqMp
nil
110
ref
4417
remove
nil
cons
cons
111
ref
4416
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
175
ref
subst
proveHyp
256
ref
257
ref
4415
remove
nil
cons
cons
293
ref
cons
nil
cons
cons
205
ref
subst
eqMp
eqMp
4422
def
subst
sym
1618
ref
1474
remove
459
ref
4414
ref
appTerm
4423
def
appTerm
absTerm
4424
def
1619
ref
appTerm
betaConv
sym
36
ref
"_31906"
44
ref
var
4425
def
52
ref
4425
remove
varTerm
appTerm
4423
ref
appTerm
absTerm
4426
def
1473
remove
appTerm
4427
def
appTerm
refl
4426
ref
1491
ref
appTerm
betaConv
4428
def
appThm
155
ref
4427
remove
betaConv
appThm
1492
remove
4423
ref
appTerm
refl
appThm
trans
4426
remove
refl
4429
def
4337
ref
sym
appThm
eqMp
sym
36
ref
"_31908"
44
ref
var
4430
def
52
ref
4430
remove
varTerm
appTerm
4423
ref
appTerm
absTerm
4431
def
1491
ref
appTerm
appTerm
refl
4431
remove
4386
remove
appTerm
betaConv
appThm
155
ref
4428
remove
appThm
4397
remove
4423
remove
appTerm
refl
appThm
trans
4429
remove
4398
ref
assume
4432
def
sym
appThm
eqMp
sym
217
ref
nil
4144
ref
4159
remove
493
ref
1653
remove
cons
nil
cons
4433
def
cons
4434
def
cons
nil
cons
cons
4174
ref
subst
appThm
491
remove
nil
4433
ref
nil
cons
cons
1231
ref
subst
4435
def
appThm
nil
4144
ref
4372
remove
512
ref
cons
cons
nil
cons
cons
4174
remove
subst
trans
appThm
nil
48
ref
459
remove
1619
ref
appTerm
nil
cons
cons
4144
remove
493
ref
4385
ref
458
ref
appTerm
4436
def
nil
cons
cons
nil
cons
cons
cons
nil
cons
cons
4158
remove
subst
trans
sym
nil
4434
remove
nil
cons
cons
4437
def
1247
ref
subst
eqMp
eqMp
eqMp
eqMp
256
ref
257
ref
4424
remove
nil
cons
cons
1723
ref
cons
nil
cons
cons
724
ref
subst
proveHyp
eqMp
nil
110
ref
4407
ref
nil
cons
cons
4438
def
111
ref
71
ref
4412
ref
appTerm
469
ref
appTerm
4439
def
nil
cons
cons
nil
cons
cons
nil
cons
cons
194
ref
subst
proveHyp
226
ref
155
ref
nil
139
ref
4345
remove
cons
nil
cons
nil
cons
cons
146
ref
subst
4301
remove
assume
4440
def
eqMp
appThm
4311
ref
refl
appThm
nil
139
ref
4311
ref
nil
cons
4441
def
cons
nil
cons
nil
cons
cons
4442
def
2148
ref
subst
trans
appThm
520
ref
appThm
sym
nil
110
ref
4441
ref
cons
1938
ref
cons
nil
cons
cons
4443
def
126
ref
subst
4443
remove
194
ref
subst
216
ref
217
ref
4432
remove
4337
ref
trans
appThm
4337
ref
appThm
nil
258
ref
4338
remove
cons
nil
cons
nil
cons
cons
489
ref
subst
trans
appThm
216
ref
nil
139
ref
4405
ref
cons
nil
cons
nil
cons
cons
146
ref
subst
1692
remove
assume
eqMp
appThm
4442
remove
146
ref
subst
4311
ref
assume
eqMp
appThm
528
ref
trans
appThm
528
ref
trans
sym
145
ref
eqMp
nil
110
ref
49
ref
4398
remove
appTerm
1706
remove
4311
remove
appTerm
appTerm
4444
def
nil
cons
cons
1938
ref
cons
nil
cons
cons
175
ref
subst
proveHyp
453
ref
71
ref
4444
remove
appTerm
469
ref
appTerm
absTerm
4445
def
464
ref
appTerm
4446
def
betaConv
69
ref
68
ref
4445
ref
appTerm
4447
def
absTerm
4448
def
76
ref
appTerm
4449
def
betaConv
452
ref
68
ref
4448
ref
appTerm
4450
def
absTerm
4451
def
458
ref
appTerm
4452
def
betaConv
4312
ref
1619
ref
appTerm
4453
def
betaConv
nil
110
ref
4335
remove
cons
111
ref
4453
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
175
ref
subst
256
ref
257
ref
4312
remove
nil
cons
cons
1723
ref
cons
nil
cons
cons
205
ref
subst
eqMp
eqMp
nil
110
ref
65
ref
4451
ref
appTerm
nil
cons
cons
111
ref
4452
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
175
ref
subst
proveHyp
256
ref
257
ref
4451
remove
nil
cons
cons
3785
ref
cons
nil
cons
cons
205
ref
subst
eqMp
eqMp
nil
110
ref
4450
remove
nil
cons
cons
111
ref
4449
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
175
ref
subst
proveHyp
261
ref
262
ref
4448
remove
nil
cons
cons
824
ref
cons
nil
cons
cons
205
ref
subst
eqMp
eqMp
nil
110
ref
4447
remove
nil
cons
cons
111
ref
4446
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
175
ref
subst
proveHyp
261
ref
262
ref
4445
remove
nil
cons
cons
4241
ref
cons
nil
cons
cons
205
ref
subst
eqMp
eqMp
eqMp
eqMp
nil
151
ref
4441
remove
cons
1941
ref
cons
nil
cons
cons
167
ref
subst
deductAntisym
eqMp
eqMp
eqMp
nil
110
ref
49
ref
4407
remove
appTerm
4439
remove
appTerm
nil
cons
cons
111
ref
71
ref
4413
remove
appTerm
469
ref
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
175
ref
subst
proveHyp
nil
1340
ref
521
ref
cons
111
ref
4412
remove
nil
cons
cons
4438
remove
nil
cons
cons
cons
nil
cons
cons
4271
ref
subst
eqMp
eqMp
eqMp
nil
151
ref
4405
remove
cons
1941
ref
cons
nil
cons
cons
167
ref
subst
deductAntisym
eqMp
eqMp
eqMp
eqMp
nil
151
ref
4399
remove
cons
1941
ref
cons
nil
cons
cons
167
ref
subst
deductAntisym
eqMp
eqMp
eqMp
eqMp
nil
151
ref
4365
remove
cons
153
ref
4359
remove
cons
nil
cons
4454
def
cons
nil
cons
cons
167
ref
subst
deductAntisym
eqMp
eqMp
eqMp
nil
151
ref
4363
remove
cons
4454
ref
cons
nil
cons
cons
167
ref
subst
deductAntisym
eqMp
eqMp
absThm
eqMp
nil
110
ref
65
ref
258
ref
71
ref
4355
ref
797
ref
appTerm
appTerm
4358
ref
appTerm
absTerm
appTerm
nil
cons
cons
111
ref
71
ref
4356
remove
appTerm
4358
remove
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
175
ref
subst
proveHyp
256
ref
257
ref
4355
remove
nil
cons
cons
4454
remove
cons
nil
cons
cons
811
ref
subst
eqMp
eqMp
eqMp
eqMp
nil
151
ref
4348
ref
cons
1941
ref
cons
nil
cons
cons
167
ref
subst
deductAntisym
eqMp
nil
110
ref
1756
ref
nil
cons
4455
def
cons
1938
ref
cons
nil
cons
cons
4456
def
126
ref
subst
4456
remove
194
ref
subst
1834
remove
nil
1836
remove
1938
ref
cons
nil
cons
cons
175
ref
subst
proveHyp
226
ref
226
ref
nil
139
ref
4455
ref
cons
nil
cons
nil
cons
cons
146
ref
subst
1756
ref
assume
4457
def
eqMp
appThm
155
ref
nil
139
ref
4344
remove
cons
nil
cons
nil
cons
cons
146
ref
subst
4404
remove
eqMp
appThm
1477
ref
refl
appThm
nil
139
ref
1477
ref
nil
cons
4458
def
cons
nil
cons
nil
cons
cons
4459
def
2148
ref
subst
trans
appThm
4459
ref
840
ref
subst
trans
appThm
520
ref
appThm
sym
nil
4350
remove
111
ref
71
ref
1477
ref
appTerm
469
ref
appTerm
4460
def
nil
cons
4461
def
cons
nil
cons
4462
def
cons
nil
cons
cons
175
ref
subst
4352
remove
4422
ref
subst
4457
remove
eqMp
nil
110
ref
47
ref
1618
ref
1471
remove
457
ref
4414
ref
appTerm
4463
def
appTerm
4464
def
absTerm
4465
def
appTerm
4466
def
nil
cons
cons
111
ref
4357
remove
4460
ref
appTerm
4467
def
nil
cons
4468
def
cons
nil
cons
4469
def
cons
nil
cons
cons
175
ref
subst
proveHyp
nil
257
ref
1618
ref
71
ref
4465
ref
1619
ref
appTerm
4470
def
appTerm
4467
ref
appTerm
4471
def
absTerm
nil
cons
cons
nil
cons
nil
cons
cons
662
ref
subst
1618
ref
nil
139
ref
4471
remove
nil
cons
cons
nil
cons
nil
cons
cons
146
ref
subst
nil
110
ref
4470
ref
nil
cons
4472
def
cons
4469
ref
cons
nil
cons
cons
4473
def
126
ref
subst
4473
remove
194
ref
subst
4470
ref
betaConv
4470
remove
assume
eqMp
nil
110
ref
4464
ref
nil
cons
4474
def
cons
4469
remove
cons
nil
cons
cons
4475
def
175
ref
subst
proveHyp
4475
ref
126
ref
subst
4475
remove
194
ref
subst
36
ref
"_31872"
44
ref
var
4476
def
71
ref
461
ref
456
ref
4476
remove
varTerm
appTerm
1491
ref
appTerm
appTerm
appTerm
4460
ref
appTerm
absTerm
4477
def
1470
ref
appTerm
4478
def
appTerm
refl
4477
ref
4463
ref
appTerm
betaConv
appThm
155
ref
4478
remove
betaConv
appThm
71
ref
461
ref
456
ref
4463
ref
appTerm
1491
ref
appTerm
appTerm
appTerm
4460
ref
appTerm
refl
appThm
trans
4477
remove
refl
4464
remove
assume
4479
def
appThm
eqMp
sym
226
ref
4131
ref
nil
4384
remove
48
ref
4414
ref
nil
cons
cons
4480
def
495
ref
cons
cons
nil
cons
cons
4382
remove
subst
appThm
nil
4143
remove
456
ref
4414
remove
appTerm
4481
def
1491
ref
appTerm
nil
cons
cons
48
ref
4371
remove
cons
495
remove
cons
cons
nil
cons
cons
4396
remove
subst
trans
appThm
4460
remove
refl
4482
def
appThm
sym
226
ref
217
ref
nil
512
ref
nil
cons
cons
2096
ref
subst
appThm
nil
48
ref
4383
remove
cons
4433
remove
cons
nil
cons
cons
4483
def
3378
ref
subst
appThm
nil
48
ref
4385
ref
1491
remove
appTerm
4484
def
nil
cons
cons
512
ref
cons
nil
cons
cons
3443
ref
subst
trans
appThm
4482
ref
appThm
sym
nil
110
ref
513
remove
4484
ref
appTerm
4485
def
nil
cons
4486
def
cons
4462
ref
cons
nil
cons
cons
4487
def
126
ref
subst
4487
remove
194
ref
subst
36
ref
"_31886"
44
ref
var
4488
def
1517
ref
4488
remove
varTerm
appTerm
464
ref
appTerm
absTerm
4489
def
458
ref
appTerm
4490
def
appTerm
refl
4489
ref
4484
ref
appTerm
betaConv
appThm
155
ref
4490
remove
betaConv
appThm
1517
remove
4484
remove
appTerm
464
ref
appTerm
4491
def
refl
appThm
trans
4489
remove
refl
4485
remove
assume
appThm
eqMp
4440
remove
eqMp
nil
110
ref
4491
remove
nil
cons
cons
4462
ref
cons
nil
cons
cons
175
ref
subst
proveHyp
226
ref
1729
ref
4483
remove
1247
ref
subst
appThm
464
ref
refl
4492
def
appThm
appThm
4482
ref
appThm
sym
226
ref
1729
remove
1288
ref
4337
remove
appThm
1696
remove
appThm
appThm
4492
remove
appThm
nil
227
ref
1924
remove
cons
1654
remove
1589
remove
cons
cons
nil
cons
cons
1687
remove
subst
trans
appThm
4482
remove
appThm
sym
nil
110
ref
1712
remove
464
ref
appTerm
4493
def
nil
cons
4494
def
cons
4462
remove
cons
nil
cons
cons
4495
def
126
ref
subst
4495
remove
194
ref
subst
nil
110
ref
4458
ref
cons
1938
ref
cons
nil
cons
cons
4496
def
126
ref
subst
4496
remove
194
ref
subst
36
ref
"_31890"
44
ref
var
4497
def
49
ref
52
ref
457
ref
4385
remove
240
ref
appTerm
appTerm
4498
def
appTerm
4499
def
4497
remove
varTerm
appTerm
appTerm
1478
remove
4493
ref
appTerm
4500
def
appTerm
absTerm
4501
def
1470
ref
appTerm
4502
def
appTerm
refl
4501
ref
4463
ref
appTerm
betaConv
appThm
155
ref
4502
remove
betaConv
appThm
49
ref
4499
ref
4463
ref
appTerm
appTerm
4500
ref
appTerm
refl
appThm
trans
4501
remove
refl
4479
remove
appThm
eqMp
sym
216
ref
4499
ref
refl
490
remove
4435
remove
appThm
appThm
nil
258
ref
4498
remove
nil
cons
cons
nil
cons
nil
cons
cons
489
ref
subst
trans
appThm
216
ref
4459
remove
146
ref
subst
1477
remove
assume
eqMp
appThm
nil
139
ref
4494
ref
cons
nil
cons
nil
cons
cons
146
ref
subst
4493
remove
assume
eqMp
appThm
528
ref
trans
appThm
528
ref
trans
sym
145
ref
eqMp
eqMp
nil
110
ref
49
ref
4499
remove
1470
remove
appTerm
appTerm
4500
remove
appTerm
4503
def
nil
cons
cons
1938
remove
cons
nil
cons
cons
175
ref
subst
proveHyp
453
ref
71
ref
4503
remove
appTerm
469
ref
appTerm
absTerm
4504
def
464
ref
appTerm
4505
def
betaConv
69
ref
68
ref
4504
ref
appTerm
4506
def
absTerm
4507
def
76
ref
appTerm
4508
def
betaConv
4304
ref
1619
remove
appTerm
4509
def
betaConv
4306
ref
74
ref
appTerm
4510
def
betaConv
nil
110
ref
4333
remove
cons
111
ref
4510
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
175
ref
subst
256
ref
257
ref
4306
remove
nil
cons
cons
260
ref
cons
nil
cons
cons
205
ref
subst
eqMp
eqMp
nil
110
ref
4305
remove
nil
cons
cons
111
ref
4509
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
175
ref
subst
proveHyp
256
ref
257
ref
4304
remove
nil
cons
cons
1723
remove
cons
nil
cons
cons
205
ref
subst
eqMp
eqMp
nil
110
ref
68
ref
4507
ref
appTerm
nil
cons
cons
111
ref
4508
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
175
ref
subst
proveHyp
261
ref
262
ref
4507
remove
nil
cons
cons
824
ref
cons
nil
cons
cons
205
ref
subst
eqMp
eqMp
nil
110
ref
4506
remove
nil
cons
cons
111
ref
4505
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
175
ref
subst
proveHyp
261
ref
262
ref
4504
remove
nil
cons
cons
4241
ref
cons
nil
cons
cons
205
ref
subst
eqMp
eqMp
eqMp
eqMp
nil
151
ref
4458
remove
cons
1941
ref
cons
nil
cons
cons
167
ref
subst
deductAntisym
eqMp
eqMp
nil
151
ref
4494
remove
cons
153
ref
4461
remove
cons
nil
cons
4511
def
cons
nil
cons
cons
167
ref
subst
deductAntisym
eqMp
eqMp
eqMp
eqMp
eqMp
nil
151
ref
4486
remove
cons
4511
remove
cons
nil
cons
cons
167
ref
subst
deductAntisym
eqMp
eqMp
eqMp
eqMp
eqMp
nil
151
ref
4474
remove
cons
153
ref
4468
remove
cons
nil
cons
4512
def
cons
nil
cons
cons
167
ref
subst
deductAntisym
eqMp
eqMp
eqMp
nil
151
ref
4472
remove
cons
4512
ref
cons
nil
cons
cons
167
ref
subst
deductAntisym
eqMp
eqMp
absThm
eqMp
nil
110
ref
65
ref
258
ref
71
ref
4465
ref
797
ref
appTerm
appTerm
4467
ref
appTerm
absTerm
appTerm
nil
cons
cons
111
ref
71
ref
4466
remove
appTerm
4467
remove
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
175
ref
subst
proveHyp
256
ref
257
ref
4465
remove
nil
cons
cons
4512
remove
cons
nil
cons
cons
811
ref
subst
eqMp
eqMp
eqMp
eqMp
eqMp
eqMp
nil
151
ref
4455
ref
cons
4513
def
1941
ref
cons
nil
cons
cons
167
ref
subst
deductAntisym
eqMp
1881
ref
1756
remove
appTerm
4514
def
betaConv
1884
ref
nil
1885
ref
111
ref
4514
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
175
ref
subst
proveHyp
345
ref
1886
ref
347
ref
4455
remove
cons
nil
cons
cons
nil
cons
cons
205
ref
subst
eqMp
eqMp
nil
4513
remove
153
ref
4348
remove
cons
1335
ref
521
ref
cons
nil
cons
cons
cons
nil
cons
cons
1350
ref
subst
proveHyp
proveHyp
proveHyp
proveHyp
proveHyp
proveHyp
proveHyp
eqMp
nil
151
ref
4340
remove
cons
1941
remove
cons
nil
cons
cons
167
ref
subst
deductAntisym
eqMp
eqMp
absThm
eqMp
eqMp
absThm
eqMp
eqMp
absThm
eqMp
eqMp
absThm
eqMp
eqMp
proveHyp
proveHyp
proveHyp
proveHyp
proveHyp
proveHyp
eqMp
nil
151
ref
4315
remove
cons
153
ref
4330
remove
cons
nil
cons
cons
nil
cons
cons
167
ref
subst
deductAntisym
eqMp
eqMp
4515
def
subst
eqMp
eqMp
nil
4089
remove
153
ref
4128
remove
cons
nil
cons
cons
nil
cons
cons
167
ref
subst
deductAntisym
eqMp
eqMp
eqMp
eqMp
absThm
eqMp
eqMp
absThm
eqMp
eqMp
absThm
eqMp
nil
68
ref
4127
remove
appTerm
thm
nil
262
ref
227
ref
65
ref
66
ref
68
ref
1170
ref
36
ref
72
ref
243
ref
appTerm
74
ref
appTerm
1181
ref
appTerm
appTerm
1184
remove
appTerm
4516
def
absTerm
4517
def
appTerm
4518
def
absTerm
4519
def
appTerm
4520
def
absTerm
4521
def
nil
cons
cons
nil
cons
nil
cons
cons
663
ref
subst
227
ref
nil
139
ref
4520
remove
nil
cons
cons
nil
cons
nil
cons
cons
146
ref
subst
nil
257
ref
4519
remove
nil
cons
cons
nil
cons
nil
cons
cons
662
ref
subst
66
ref
nil
139
ref
4518
remove
nil
cons
cons
nil
cons
nil
cons
cons
146
ref
subst
nil
262
ref
4517
remove
nil
cons
cons
nil
cons
nil
cons
cons
663
ref
subst
1170
ref
nil
139
ref
4516
remove
nil
cons
cons
nil
cons
nil
cons
cons
146
ref
subst
1351
remove
eqMp
absThm
eqMp
eqMp
absThm
eqMp
eqMp
absThm
eqMp
nil
68
ref
4521
remove
appTerm
thm
224
ref
48
ref
224
ref
271
ref
225
ref
227
ref
155
ref
nil
66
ref
290
ref
cons
4522
def
29
ref
"Hardware.Bus.ground"
const
1
ref
44
ref
206
remove
cons
opType
constTerm
4523
def
57
ref
appTerm
4524
def
nil
cons
4525
def
cons
nil
cons
4526
def
cons
nil
cons
cons
266
ref
subst
nil
268
remove
271
ref
269
ref
cons
4522
remove
nil
cons
4527
def
cons
cons
nil
cons
cons
29
ref
36
ref
235
ref
4524
ref
appTerm
74
ref
appTerm
275
ref
appTerm
39
ref
appTerm
appTerm
49
ref
1607
ref
457
remove
275
ref
appTerm
appTerm
57
ref
appTerm
appTerm
279
remove
4523
ref
275
ref
appTerm
appTerm
appTerm
appTerm
absTerm
4528
def
39
ref
appTerm
4529
def
betaConv
271
ref
99
ref
4528
ref
appTerm
4530
def
absTerm
4531
def
275
ref
appTerm
4532
def
betaConv
66
ref
65
ref
4531
ref
appTerm
4533
def
absTerm
4534
def
74
ref
appTerm
4535
def
betaConv
48
ref
65
ref
4534
ref
appTerm
4536
def
absTerm
4537
def
57
ref
appTerm
4538
def
betaConv
nil
65
ref
4537
ref
appTerm
4539
def
axiom
nil
110
ref
4539
remove
nil
cons
cons
111
ref
4538
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
175
ref
subst
proveHyp
256
ref
257
ref
4537
remove
nil
cons
cons
293
ref
cons
nil
cons
cons
205
ref
subst
eqMp
eqMp
nil
110
ref
4536
remove
nil
cons
cons
111
ref
4535
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
175
ref
subst
proveHyp
256
ref
257
ref
4534
remove
nil
cons
cons
260
ref
cons
nil
cons
cons
205
ref
subst
eqMp
eqMp
nil
110
ref
4533
remove
nil
cons
cons
111
ref
4532
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
175
ref
subst
proveHyp
256
ref
257
ref
4531
remove
nil
cons
cons
291
ref
cons
nil
cons
cons
205
ref
subst
eqMp
eqMp
nil
110
ref
4530
remove
nil
cons
cons
111
ref
4529
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
175
ref
subst
proveHyp
207
ref
208
ref
4528
remove
nil
cons
cons
210
ref
cons
nil
cons
cons
205
ref
subst
eqMp
eqMp
subst
trans
216
ref
1795
remove
nil
493
ref
290
remove
cons
nil
cons
nil
cons
cons
4540
def
2096
ref
subst
4541
def
appThm
222
ref
appThm
4540
remove
2099
remove
subst
trans
appThm
352
remove
refl
nil
278
ref
4523
ref
240
ref
appTerm
appTerm
242
ref
"Hardware.ground"
const
11
ref
constTerm
4542
def
appTerm
appTerm
axiom
4543
def
appThm
nil
671
ref
4542
ref
nil
cons
4544
def
cons
676
ref
264
ref
cons
nil
cons
cons
nil
cons
cons
1329
remove
subst
trans
appThm
trans
appThm
49
ref
1596
remove
275
ref
appTerm
57
ref
appTerm
appTerm
1383
remove
4542
ref
appTerm
appTerm
4545
def
refl
appThm
nil
347
ref
4545
ref
nil
cons
cons
nil
cons
nil
cons
cons
1333
ref
subst
trans
absThm
appThm
390
ref
trans
absThm
appThm
392
ref
trans
absThm
appThm
392
ref
trans
sym
145
ref
eqMp
nil
65
ref
48
ref
65
ref
271
ref
68
ref
227
ref
36
ref
72
ref
4524
ref
appTerm
275
ref
appTerm
233
ref
appTerm
appTerm
4545
remove
appTerm
absTerm
appTerm
absTerm
appTerm
absTerm
appTerm
thm
624
ref
29
ref
624
ref
26
ref
155
ref
224
ref
2856
ref
4106
ref
refl
4546
def
2856
ref
2862
ref
2865
ref
456
ref
2866
ref
appTerm
240
ref
appTerm
4547
def
appTerm
appTerm
4548
def
2870
ref
appTerm
4549
def
absTerm
4550
def
2866
ref
appTerm
betaConv
4551
def
appThm
absThm
appThm
appThm
4546
remove
224
ref
2856
ref
4551
remove
absThm
appThm
appThm
appThm
nil
2874
ref
4550
ref
nil
cons
cons
110
ref
1911
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
2884
ref
subst
eqMp
4111
remove
65
ref
4550
remove
appTerm
4552
def
refl
appThm
trans
absThm
appThm
absThm
appThm
sym
216
ref
224
ref
2856
ref
2907
ref
nil
2856
ref
4547
ref
nil
cons
cons
4553
def
nil
cons
nil
cons
cons
2856
ref
3025
ref
"Data.List.[]"
const
2860
ref
constTerm
4554
def
appTerm
absTerm
4555
def
2866
ref
appTerm
4556
def
betaConv
nil
65
ref
4555
ref
appTerm
4557
def
axiom
nil
110
ref
4557
remove
nil
cons
cons
111
ref
4556
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
175
ref
subst
proveHyp
256
ref
257
ref
4555
remove
nil
cons
cons
2925
ref
cons
nil
cons
cons
205
ref
subst
eqMp
eqMp
4558
def
subst
appThm
4558
ref
appThm
nil
2887
ref
4554
ref
nil
cons
4559
def
cons
nil
cons
nil
cons
cons
2893
ref
subst
4560
def
trans
absThm
appThm
392
remove
trans
appThm
225
ref
2291
ref
624
ref
2313
ref
225
ref
2343
ref
624
ref
2360
ref
71
ref
49
ref
437
remove
2292
ref
appTerm
2344
ref
appTerm
4561
def
appTerm
4562
def
49
ref
438
remove
2314
ref
appTerm
2361
ref
appTerm
4563
def
appTerm
4564
def
65
ref
2856
ref
2862
ref
2898
remove
4547
ref
appTerm
4565
def
appTerm
2900
ref
appTerm
4566
def
absTerm
4567
def
appTerm
4568
def
appTerm
4569
def
appTerm
4570
def
appTerm
4571
def
refl
224
ref
2856
ref
2907
ref
nil
4553
remove
2909
remove
cons
nil
cons
cons
2926
ref
subst
appThm
2929
ref
appThm
nil
2932
remove
2936
remove
2937
ref
4565
remove
nil
cons
cons
2939
ref
2940
remove
4547
ref
appTerm
4572
def
nil
cons
cons
nil
cons
cons
cons
cons
nil
cons
cons
2972
ref
subst
trans
absThm
appThm
appThm
absThm
appThm
absThm
appThm
absThm
appThm
absThm
appThm
appThm
nil
139
ref
68
ref
2291
ref
99
ref
2313
ref
68
ref
2343
ref
99
ref
2360
ref
4571
ref
65
ref
2856
ref
49
ref
36
ref
4572
remove
appTerm
2934
ref
appTerm
4573
def
appTerm
4574
def
4566
remove
appTerm
4575
def
absTerm
4576
def
appTerm
4577
def
appTerm
4578
def
absTerm
4579
def
appTerm
4580
def
absTerm
4581
def
appTerm
4582
def
absTerm
4583
def
appTerm
4584
def
absTerm
4585
def
appTerm
nil
cons
cons
nil
cons
nil
cons
cons
527
ref
subst
trans
sym
nil
262
ref
4585
remove
nil
cons
cons
nil
cons
nil
cons
cons
663
ref
subst
2291
ref
nil
139
ref
4584
remove
nil
cons
cons
nil
cons
nil
cons
cons
146
ref
subst
nil
208
ref
4583
remove
nil
cons
cons
nil
cons
nil
cons
cons
643
ref
subst
2313
ref
nil
139
ref
4582
remove
nil
cons
cons
nil
cons
nil
cons
cons
146
ref
subst
nil
262
ref
4581
remove
nil
cons
cons
nil
cons
nil
cons
cons
663
ref
subst
2343
ref
nil
139
ref
4580
remove
nil
cons
cons
nil
cons
nil
cons
cons
146
ref
subst
nil
208
ref
4579
remove
nil
cons
cons
nil
cons
nil
cons
cons
643
ref
subst
2360
ref
nil
139
ref
4578
remove
nil
cons
cons
nil
cons
nil
cons
cons
146
ref
subst
nil
110
ref
4570
remove
nil
cons
4586
def
cons
111
ref
4577
remove
nil
cons
4587
def
cons
nil
cons
cons
nil
cons
cons
4588
def
126
ref
subst
4588
remove
194
ref
subst
nil
151
ref
4561
remove
nil
cons
4589
def
cons
153
ref
4569
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
4590
def
167
ref
subst
4590
remove
334
ref
subst
nil
151
ref
4563
remove
nil
cons
cons
153
ref
4568
remove
nil
cons
4591
def
cons
nil
cons
cons
nil
cons
cons
334
ref
subst
nil
257
ref
4576
remove
nil
cons
cons
nil
cons
nil
cons
cons
662
ref
subst
2856
ref
nil
139
ref
4575
remove
nil
cons
cons
nil
cons
nil
cons
cons
146
ref
subst
4574
remove
refl
2907
ref
4567
ref
2866
ref
appTerm
4592
def
betaConv
nil
110
ref
4591
remove
cons
111
ref
4592
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
175
ref
subst
256
ref
257
ref
4567
remove
nil
cons
cons
2925
ref
cons
nil
cons
cons
205
ref
subst
eqMp
eqMp
appThm
2993
remove
appThm
2994
remove
trans
appThm
nil
139
ref
4573
remove
nil
cons
4593
def
cons
nil
cons
nil
cons
cons
397
ref
subst
trans
sym
nil
110
ref
4589
remove
cons
111
ref
4593
remove
cons
nil
cons
cons
nil
cons
cons
175
ref
subst
2997
remove
2856
ref
71
ref
1908
remove
appTerm
36
ref
2999
remove
4547
ref
appTerm
appTerm
3001
ref
appTerm
appTerm
absTerm
4594
def
2866
ref
appTerm
4595
def
betaConv
263
ref
65
ref
4594
ref
appTerm
4596
def
absTerm
4597
def
627
ref
appTerm
4598
def
betaConv
1001
ref
68
ref
4597
ref
appTerm
4599
def
absTerm
4600
def
1002
ref
appTerm
4601
def
betaConv
nil
68
ref
263
ref
68
ref
1001
ref
4596
ref
absTerm
4602
def
appTerm
4603
def
absTerm
4604
def
appTerm
4605
def
axiom
nil
110
ref
4605
remove
nil
cons
4606
def
cons
4607
def
111
ref
68
ref
4600
ref
appTerm
nil
cons
4608
def
cons
nil
cons
cons
nil
cons
cons
4609
def
175
ref
subst
proveHyp
4609
ref
126
ref
subst
4609
remove
194
ref
subst
nil
262
ref
4600
remove
nil
cons
cons
4610
def
nil
cons
nil
cons
cons
663
ref
subst
1001
ref
nil
139
ref
4599
remove
nil
cons
4611
def
cons
nil
cons
nil
cons
cons
146
ref
subst
nil
262
ref
4597
remove
nil
cons
cons
4612
def
nil
cons
nil
cons
cons
663
ref
subst
263
ref
nil
139
ref
4596
remove
nil
cons
4613
def
cons
nil
cons
nil
cons
cons
146
ref
subst
4602
ref
1002
ref
appTerm
4614
def
betaConv
4604
ref
627
ref
appTerm
4615
def
betaConv
nil
4607
remove
111
ref
4615
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
175
ref
subst
261
ref
262
ref
4604
remove
nil
cons
cons
3024
ref
cons
nil
cons
cons
205
ref
subst
eqMp
eqMp
nil
110
ref
4603
remove
nil
cons
cons
111
ref
4614
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
175
ref
subst
proveHyp
261
ref
262
ref
4602
remove
nil
cons
cons
2495
ref
cons
nil
cons
cons
205
ref
subst
eqMp
eqMp
eqMp
absThm
eqMp
eqMp
absThm
eqMp
eqMp
nil
151
ref
4606
remove
cons
153
ref
4608
ref
cons
nil
cons
cons
nil
cons
cons
167
ref
subst
deductAntisym
eqMp
eqMp
nil
110
ref
4608
remove
cons
111
ref
4601
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
175
ref
subst
proveHyp
261
ref
4610
remove
2495
ref
cons
nil
cons
cons
205
ref
subst
eqMp
eqMp
nil
110
ref
4611
remove
cons
111
ref
4598
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
175
ref
subst
proveHyp
261
ref
4612
remove
3024
ref
cons
nil
cons
cons
205
ref
subst
eqMp
eqMp
nil
110
ref
4613
remove
cons
111
ref
4595
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
175
ref
subst
proveHyp
256
ref
257
ref
4594
remove
nil
cons
cons
2925
ref
cons
nil
cons
cons
205
ref
subst
eqMp
eqMp
subst
eqMp
eqMp
eqMp
absThm
eqMp
proveHyp
proveHyp
proveHyp
eqMp
nil
151
ref
4586
remove
cons
153
ref
4587
remove
cons
nil
cons
cons
nil
cons
cons
167
ref
subst
deductAntisym
eqMp
eqMp
absThm
eqMp
eqMp
absThm
eqMp
eqMp
absThm
eqMp
eqMp
absThm
eqMp
eqMp
nil
110
ref
49
ref
65
ref
2856
ref
2862
ref
2888
remove
4547
ref
appTerm
appTerm
2889
ref
appTerm
absTerm
appTerm
appTerm
68
ref
2291
ref
99
ref
2313
ref
68
ref
2343
ref
99
ref
2360
ref
4571
remove
65
ref
2856
ref
2862
ref
3027
remove
4547
remove
appTerm
appTerm
3029
ref
appTerm
absTerm
appTerm
appTerm
absTerm
appTerm
absTerm
appTerm
absTerm
appTerm
absTerm
appTerm
appTerm
nil
cons
cons
111
ref
99
ref
29
ref
99
ref
26
ref
71
ref
1910
remove
appTerm
4616
def
4552
ref
appTerm
absTerm
appTerm
absTerm
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
175
ref
subst
proveHyp
226
ref
216
ref
29
ref
26
ref
4552
remove
absTerm
4617
def
absTerm
4618
def
20
ref
appTerm
betaConv
21
ref
appThm
26
ref
65
ref
2856
ref
4548
ref
2889
ref
appTerm
absTerm
appTerm
absTerm
20
ref
appTerm
betaConv
trans
appThm
225
ref
2291
ref
624
ref
2313
ref
225
ref
2343
ref
624
ref
2360
ref
226
ref
4562
ref
refl
4619
def
4564
remove
refl
4618
ref
2314
ref
appTerm
betaConv
3034
ref
appThm
26
ref
65
ref
2856
ref
4548
ref
2900
ref
appTerm
absTerm
appTerm
absTerm
2361
ref
appTerm
betaConv
trans
appThm
appThm
appThm
4618
ref
2322
ref
appTerm
betaConv
3035
ref
appThm
26
ref
65
ref
2856
ref
4548
remove
3029
ref
appTerm
absTerm
appTerm
absTerm
2369
ref
appTerm
betaConv
trans
appThm
absThm
appThm
absThm
appThm
absThm
appThm
absThm
appThm
appThm
appThm
624
ref
29
ref
624
ref
26
ref
4616
remove
refl
4618
ref
39
ref
appTerm
betaConv
998
ref
appThm
4617
remove
41
ref
appTerm
betaConv
trans
appThm
absThm
appThm
absThm
appThm
appThm
nil
3036
ref
4618
remove
nil
cons
cons
440
remove
cons
nil
cons
cons
3971
ref
subst
eqMp
eqMp
eqMp
nil
99
ref
29
ref
99
ref
26
ref
65
ref
2856
ref
4106
remove
4549
remove
appTerm
absTerm
appTerm
absTerm
appTerm
absTerm
appTerm
thm
nil
208
ref
29
ref
65
ref
48
ref
99
ref
26
ref
71
ref
59
ref
1906
remove
appTerm
appTerm
4620
def
2783
remove
4524
ref
appTerm
41
ref
appTerm
appTerm
4621
def
absTerm
4622
def
appTerm
4623
def
absTerm
4624
def
appTerm
4625
def
absTerm
4626
def
nil
cons
cons
nil
cons
nil
cons
cons
643
ref
subst
29
ref
nil
139
ref
4625
remove
nil
cons
cons
nil
cons
nil
cons
cons
146
ref
subst
nil
257
ref
4624
remove
nil
cons
cons
nil
cons
nil
cons
cons
662
ref
subst
48
ref
nil
139
ref
4623
remove
nil
cons
cons
nil
cons
nil
cons
cons
146
ref
subst
nil
208
ref
4622
remove
nil
cons
cons
nil
cons
nil
cons
cons
643
ref
subst
26
ref
nil
139
ref
4621
remove
nil
cons
cons
nil
cons
nil
cons
cons
146
ref
subst
226
ref
59
ref
refl
4627
def
999
remove
appThm
appThm
4628
def
2776
remove
4524
ref
refl
4629
def
appThm
998
ref
appThm
611
ref
nil
110
ref
308
ref
2189
ref
appTerm
nil
cons
4630
def
cons
4631
def
111
ref
36
ref
546
ref
4524
ref
appTerm
41
ref
appTerm
4632
def
appTerm
59
ref
16
ref
263
ref
1001
ref
544
ref
627
ref
appTerm
4633
def
4542
ref
appTerm
1002
ref
appTerm
absTerm
absTerm
4634
def
appTerm
4635
def
39
ref
appTerm
41
ref
appTerm
4636
def
appTerm
4637
def
appTerm
4638
def
nil
cons
4639
def
cons
nil
cons
cons
nil
cons
cons
4640
def
126
ref
subst
4640
remove
194
ref
subst
nil
110
ref
4632
ref
nil
cons
4641
def
cons
4642
def
111
ref
4637
ref
nil
cons
4643
def
cons
nil
cons
4644
def
cons
nil
cons
cons
4645
def
335
ref
subst
4645
ref
126
ref
subst
4645
remove
194
ref
subst
nil
4642
remove
111
ref
47
ref
"n'"
44
ref
var
4646
def
49
ref
56
ref
4646
ref
varTerm
4647
def
appTerm
4648
def
appTerm
4649
def
49
ref
52
ref
54
ref
4524
ref
appTerm
appTerm
4650
def
4647
ref
appTerm
appTerm
61
ref
4647
ref
appTerm
4651
def
appTerm
appTerm
absTerm
4652
def
appTerm
4653
def
nil
cons
4654
def
cons
nil
cons
cons
nil
cons
cons
175
ref
subst
nil
542
ref
211
remove
cons
4655
def
26
ref
4525
ref
cons
4656
def
nil
cons
4657
def
cons
nil
cons
cons
226
ref
596
ref
appThm
47
ref
48
ref
59
ref
63
ref
550
ref
appTerm
4658
def
appTerm
4659
def
absTerm
4660
def
appTerm
4661
def
refl
4662
def
appThm
sym
nil
257
ref
48
ref
71
ref
574
ref
57
ref
appTerm
4663
def
appTerm
4664
def
4661
ref
appTerm
4665
def
absTerm
nil
cons
cons
nil
cons
nil
cons
cons
662
ref
subst
48
ref
nil
139
ref
4665
remove
nil
cons
cons
nil
cons
nil
cons
cons
146
ref
subst
nil
110
ref
4663
ref
nil
cons
4666
def
cons
4667
def
111
ref
4661
ref
nil
cons
4668
def
cons
nil
cons
4669
def
cons
nil
cons
cons
4670
def
126
ref
subst
4670
remove
194
ref
subst
4663
ref
betaConv
4663
remove
assume
eqMp
4671
def
nil
110
ref
573
remove
nil
cons
4672
def
cons
4673
def
4669
remove
cons
nil
cons
cons
4674
def
175
ref
subst
proveHyp
4674
ref
126
ref
subst
4674
remove
194
ref
subst
nil
3086
ref
153
ref
572
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
4675
def
167
ref
subst
4676
def
4675
remove
334
ref
subst
4677
def
nil
3090
ref
153
ref
571
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
4678
def
167
ref
subst
4679
def
4678
remove
334
ref
subst
4680
def
nil
151
ref
550
ref
nil
cons
4681
def
cons
153
ref
570
ref
nil
cons
4682
def
cons
nil
cons
4683
def
cons
nil
cons
cons
4684
def
167
ref
subst
4685
def
4660
ref
57
ref
appTerm
4686
def
betaConv
4687
def
sym
3098
ref
216
ref
3100
remove
appThm
4688
def
217
ref
550
ref
assume
appThm
4689
def
222
ref
appThm
2416
ref
trans
4690
def
appThm
528
ref
trans
appThm
528
ref
trans
sym
145
ref
eqMp
eqMp
256
ref
257
ref
4660
ref
nil
cons
4691
def
cons
4692
def
293
ref
cons
nil
cons
cons
724
ref
subst
proveHyp
proveHyp
proveHyp
proveHyp
proveHyp
proveHyp
eqMp
nil
151
ref
4672
remove
cons
4693
def
153
ref
4668
ref
cons
nil
cons
4694
def
cons
nil
cons
cons
167
ref
subst
deductAntisym
eqMp
eqMp
eqMp
nil
151
ref
4666
remove
cons
4695
def
4694
ref
cons
nil
cons
cons
167
ref
subst
deductAntisym
eqMp
eqMp
absThm
eqMp
nil
110
ref
65
ref
258
ref
71
ref
574
ref
797
ref
appTerm
appTerm
4696
def
4661
ref
appTerm
absTerm
appTerm
nil
cons
cons
111
ref
71
ref
575
ref
appTerm
4697
def
4661
ref
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
175
ref
subst
proveHyp
256
ref
257
ref
574
ref
nil
cons
cons
4698
def
4694
remove
cons
nil
cons
cons
811
ref
subst
eqMp
eqMp
4699
def
subst
eqMp
nil
110
ref
4654
remove
cons
4644
ref
cons
nil
cons
cons
175
ref
subst
proveHyp
nil
257
ref
493
ref
71
ref
4652
ref
496
ref
appTerm
4700
def
appTerm
4637
ref
appTerm
4701
def
absTerm
nil
cons
cons
nil
cons
nil
cons
cons
662
ref
subst
493
ref
nil
139
ref
4701
remove
nil
cons
cons
nil
cons
nil
cons
cons
146
ref
subst
nil
110
ref
4700
ref
nil
cons
4702
def
cons
4644
ref
cons
nil
cons
cons
4703
def
126
ref
subst
4703
remove
194
ref
subst
4700
ref
betaConv
4700
remove
assume
eqMp
nil
110
ref
3605
ref
49
ref
4650
ref
496
ref
appTerm
appTerm
3606
ref
appTerm
appTerm
nil
cons
cons
4644
ref
cons
nil
cons
cons
175
ref
subst
proveHyp
226
ref
3605
ref
refl
216
ref
217
ref
48
ref
4650
remove
57
ref
appTerm
absTerm
4704
def
57
ref
appTerm
4705
def
betaConv
nil
65
ref
4704
ref
appTerm
4706
def
axiom
nil
110
ref
4706
remove
nil
cons
cons
111
ref
4705
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
175
ref
subst
proveHyp
256
ref
257
ref
4704
remove
nil
cons
cons
293
ref
cons
nil
cons
cons
205
ref
subst
eqMp
eqMp
4707
def
appThm
496
ref
refl
4708
def
appThm
appThm
3606
ref
refl
4709
def
appThm
appThm
appThm
4637
ref
refl
appThm
sym
nil
110
ref
3605
ref
49
ref
276
ref
496
ref
appTerm
4710
def
appTerm
3606
ref
appTerm
4711
def
appTerm
nil
cons
4712
def
cons
4644
remove
cons
nil
cons
cons
4713
def
126
ref
subst
4713
remove
194
ref
subst
nil
3612
ref
153
ref
4711
remove
nil
cons
4714
def
cons
nil
cons
cons
nil
cons
cons
4715
def
167
ref
subst
4715
remove
334
ref
subst
nil
151
ref
4710
ref
nil
cons
cons
153
ref
3613
remove
cons
nil
cons
4716
def
cons
nil
cons
cons
4717
def
167
ref
subst
4718
def
4717
remove
334
ref
subst
4719
def
nil
4631
remove
322
ref
cons
nil
cons
cons
175
ref
subst
4720
def
nil
139
ref
4630
ref
cons
nil
cons
nil
cons
cons
139
ref
36
ref
1290
remove
315
ref
appTerm
appTerm
1300
ref
appTerm
absTerm
4721
def
142
ref
appTerm
4722
def
betaConv
nil
343
ref
4721
ref
appTerm
4723
def
axiom
nil
110
ref
4723
remove
nil
cons
cons
111
ref
4722
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
175
ref
subst
proveHyp
345
ref
346
ref
4721
remove
nil
cons
cons
358
ref
cons
nil
cons
cons
205
ref
subst
eqMp
eqMp
4724
def
subst
nil
139
ref
3116
ref
cons
nil
cons
nil
cons
cons
139
ref
36
ref
308
ref
1300
remove
appTerm
appTerm
142
ref
appTerm
absTerm
4725
def
142
remove
appTerm
4726
def
betaConv
nil
343
ref
4725
ref
appTerm
4727
def
axiom
nil
110
ref
4727
remove
nil
cons
cons
111
ref
4726
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
175
ref
subst
proveHyp
345
ref
346
ref
4725
remove
nil
cons
cons
358
remove
cons
nil
cons
cons
205
ref
subst
eqMp
eqMp
4728
def
subst
trans
4729
def
216
ref
217
ref
1019
remove
assume
appThm
4730
def
4710
remove
assume
4731
def
appThm
nil
509
ref
nil
cons
cons
489
ref
subst
4732
def
trans
appThm
217
ref
3606
ref
assume
4733
def
appThm
4734
def
4731
ref
appThm
4732
ref
trans
4735
def
appThm
528
ref
trans
trans
sym
145
ref
eqMp
eqMp
nil
151
ref
4643
ref
cons
4736
def
nil
cons
nil
cons
cons
348
ref
subst
proveHyp
proveHyp
proveHyp
proveHyp
proveHyp
eqMp
nil
151
ref
4712
remove
cons
153
ref
4643
ref
cons
nil
cons
4737
def
cons
nil
cons
cons
167
ref
subst
deductAntisym
eqMp
eqMp
eqMp
eqMp
nil
151
ref
4702
remove
cons
4737
ref
cons
nil
cons
cons
167
ref
subst
deductAntisym
eqMp
eqMp
absThm
eqMp
nil
110
ref
65
ref
258
ref
71
ref
4652
ref
797
ref
appTerm
appTerm
4637
ref
appTerm
absTerm
appTerm
nil
cons
cons
111
ref
71
ref
4653
remove
appTerm
4637
ref
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
175
ref
subst
proveHyp
256
ref
257
ref
4652
remove
nil
cons
cons
4737
ref
cons
nil
cons
cons
811
ref
subst
eqMp
eqMp
eqMp
nil
151
ref
4641
ref
cons
4738
def
4737
remove
cons
nil
cons
cons
167
ref
subst
deductAntisym
eqMp
nil
110
ref
71
ref
4632
ref
appTerm
4637
ref
appTerm
nil
cons
cons
111
ref
71
ref
4637
remove
appTerm
4632
ref
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
194
ref
subst
proveHyp
nil
110
ref
4643
remove
cons
111
ref
4641
ref
cons
nil
cons
4739
def
cons
nil
cons
cons
4740
def
126
ref
subst
4740
remove
194
ref
subst
nil
3086
ref
153
ref
4636
ref
nil
cons
4741
def
cons
nil
cons
cons
nil
cons
cons
4742
def
167
ref
subst
4742
remove
334
ref
subst
nil
110
ref
4741
remove
cons
3079
ref
cons
nil
cons
cons
175
ref
subst
nil
22
ref
4634
ref
nil
cons
cons
nil
cons
nil
cons
cons
4743
def
3107
ref
subst
eqMp
nil
2200
ref
4739
ref
cons
nil
cons
cons
175
ref
subst
proveHyp
nil
257
ref
493
ref
71
ref
2190
remove
496
ref
appTerm
4744
def
appTerm
4745
def
4632
ref
appTerm
4746
def
absTerm
nil
cons
cons
nil
cons
nil
cons
cons
662
ref
subst
493
ref
nil
139
ref
4746
remove
nil
cons
cons
nil
cons
nil
cons
cons
146
ref
subst
nil
110
ref
4744
ref
nil
cons
4747
def
cons
4748
def
4739
ref
cons
nil
cons
cons
4749
def
126
ref
subst
4749
remove
194
ref
subst
4744
ref
betaConv
4744
remove
assume
eqMp
4750
def
nil
110
ref
3605
ref
3606
ref
appTerm
nil
cons
4751
def
cons
4752
def
4739
ref
cons
nil
cons
cons
175
ref
subst
proveHyp
226
ref
216
ref
3096
ref
4708
ref
appThm
appThm
4709
ref
appThm
appThm
4632
ref
refl
appThm
sym
nil
110
ref
4714
ref
cons
4739
remove
cons
nil
cons
cons
4753
def
126
ref
subst
4753
remove
194
ref
subst
4718
remove
4719
remove
4720
remove
4729
remove
216
ref
217
ref
3095
ref
4731
ref
trans
appThm
4731
remove
appThm
4732
ref
trans
appThm
4735
remove
appThm
528
ref
trans
trans
sym
145
ref
eqMp
eqMp
nil
4738
remove
nil
cons
nil
cons
cons
348
ref
subst
proveHyp
proveHyp
proveHyp
eqMp
nil
151
ref
4714
remove
cons
153
ref
4641
remove
cons
nil
cons
4754
def
cons
nil
cons
cons
167
ref
subst
deductAntisym
eqMp
eqMp
eqMp
eqMp
nil
151
ref
4747
remove
cons
4755
def
4754
ref
cons
nil
cons
cons
167
ref
subst
deductAntisym
eqMp
eqMp
absThm
eqMp
nil
110
ref
65
ref
258
ref
4058
ref
4632
ref
appTerm
absTerm
appTerm
nil
cons
cons
111
ref
4059
ref
4632
remove
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
175
ref
subst
proveHyp
256
ref
2196
ref
4754
ref
cons
nil
cons
cons
811
ref
subst
eqMp
eqMp
proveHyp
proveHyp
eqMp
nil
4736
remove
4754
remove
cons
nil
cons
cons
167
ref
subst
deductAntisym
eqMp
eqMp
eqMp
eqMp
nil
151
ref
4630
ref
cons
153
ref
4639
ref
cons
nil
cons
cons
nil
cons
cons
167
ref
subst
deductAntisym
eqMp
26
ref
2207
ref
4638
ref
appTerm
absTerm
4756
def
41
ref
appTerm
4757
def
betaConv
29
ref
99
ref
4756
ref
appTerm
4758
def
absTerm
4759
def
39
ref
appTerm
4760
def
betaConv
48
ref
99
ref
4759
ref
appTerm
4761
def
absTerm
4762
def
57
ref
appTerm
4763
def
betaConv
4764
def
nil
208
ref
29
ref
99
ref
26
ref
2220
ref
36
ref
546
ref
4523
ref
220
ref
appTerm
4765
def
appTerm
41
ref
appTerm
appTerm
4766
def
2218
ref
4636
ref
appTerm
appTerm
appTerm
4767
def
absTerm
4768
def
appTerm
4769
def
absTerm
4770
def
nil
cons
cons
nil
cons
nil
cons
cons
643
ref
subst
29
ref
nil
139
ref
4769
remove
nil
cons
cons
nil
cons
nil
cons
cons
146
ref
subst
nil
208
ref
4768
remove
nil
cons
cons
nil
cons
nil
cons
cons
643
ref
subst
26
ref
nil
139
ref
4767
remove
nil
cons
cons
nil
cons
nil
cons
cons
146
ref
subst
226
ref
3166
ref
2250
ref
appThm
appThm
4771
def
4766
ref
refl
3166
ref
4636
ref
refl
4772
def
appThm
appThm
appThm
sym
nil
110
ref
3168
ref
2251
remove
appTerm
nil
cons
4773
def
cons
4774
def
111
ref
4766
remove
3168
ref
4636
ref
appTerm
appTerm
nil
cons
4775
def
cons
nil
cons
cons
nil
cons
cons
4776
def
126
ref
subst
4776
remove
194
ref
subst
nil
1064
ref
153
ref
2261
remove
cons
nil
cons
cons
nil
cons
cons
4777
def
167
ref
subst
4778
def
4777
remove
334
ref
subst
4779
def
155
ref
545
ref
refl
1063
ref
appThm
nil
278
ref
4765
remove
appTerm
20
ref
appTerm
axiom
4780
def
appThm
2269
ref
appThm
601
remove
trans
appThm
216
ref
278
ref
refl
1063
ref
appThm
21
ref
appThm
232
remove
3500
ref
subst
trans
appThm
4635
ref
refl
1063
ref
appThm
2269
ref
appThm
4743
ref
434
ref
subst
trans
appThm
528
ref
trans
appThm
383
remove
2148
remove
subst
4781
def
trans
sym
145
ref
eqMp
proveHyp
proveHyp
eqMp
nil
151
ref
4773
remove
cons
4782
def
153
ref
4775
remove
cons
nil
cons
cons
nil
cons
cons
167
ref
subst
deductAntisym
eqMp
eqMp
eqMp
absThm
eqMp
eqMp
absThm
eqMp
nil
110
ref
99
ref
4770
remove
appTerm
4783
def
nil
cons
cons
111
ref
65
ref
48
ref
71
ref
4761
ref
appTerm
99
ref
29
ref
99
ref
26
ref
2274
ref
36
ref
546
remove
4523
ref
309
ref
appTerm
4784
def
appTerm
41
ref
appTerm
appTerm
4785
def
2272
ref
4636
ref
appTerm
appTerm
4786
def
appTerm
4787
def
absTerm
4788
def
appTerm
4789
def
absTerm
4790
def
appTerm
4791
def
appTerm
4792
def
absTerm
4793
def
appTerm
4794
def
nil
cons
cons
nil
cons
cons
nil
cons
cons
194
ref
subst
proveHyp
nil
257
ref
4793
remove
nil
cons
cons
nil
cons
nil
cons
cons
662
ref
subst
48
ref
nil
139
ref
4792
remove
nil
cons
cons
nil
cons
nil
cons
cons
146
ref
subst
nil
110
ref
4761
remove
nil
cons
4795
def
cons
4796
def
111
ref
4791
remove
nil
cons
4797
def
cons
nil
cons
cons
nil
cons
cons
4798
def
126
ref
subst
4798
remove
194
ref
subst
nil
208
ref
4790
remove
nil
cons
cons
nil
cons
nil
cons
cons
643
ref
subst
29
ref
nil
139
ref
4789
remove
nil
cons
cons
nil
cons
nil
cons
cons
146
ref
subst
nil
208
ref
4788
remove
nil
cons
cons
nil
cons
nil
cons
cons
643
ref
subst
26
ref
nil
139
ref
4787
remove
nil
cons
cons
nil
cons
nil
cons
cons
146
ref
subst
nil
1340
ref
4786
remove
nil
cons
cons
2289
ref
cons
nil
cons
cons
2249
ref
subst
1095
ref
2290
ref
4785
ref
refl
216
ref
1094
ref
appThm
4772
remove
appThm
appThm
appThm
appThm
trans
sym
nil
262
ref
2291
ref
2294
ref
2299
ref
4785
remove
49
ref
1087
remove
appTerm
4636
remove
appTerm
appTerm
appTerm
4799
def
appTerm
4800
def
absTerm
nil
cons
cons
nil
cons
nil
cons
cons
663
ref
subst
2291
ref
nil
139
ref
4800
remove
nil
cons
cons
nil
cons
nil
cons
cons
146
ref
subst
nil
2303
ref
111
ref
4799
ref
nil
cons
4801
def
cons
nil
cons
4802
def
cons
nil
cons
cons
4803
def
126
ref
subst
4803
remove
194
ref
subst
2307
ref
nil
2312
ref
4802
ref
cons
nil
cons
cons
175
ref
subst
proveHyp
nil
208
ref
2313
ref
2316
ref
4799
ref
appTerm
4804
def
absTerm
nil
cons
cons
nil
cons
nil
cons
cons
643
ref
subst
2313
ref
nil
139
ref
4804
remove
nil
cons
cons
nil
cons
nil
cons
cons
146
ref
subst
nil
2319
ref
4802
ref
cons
nil
cons
cons
4805
def
126
ref
subst
4805
remove
194
ref
subst
2321
ref
nil
2328
ref
4802
remove
cons
nil
cons
cons
4806
def
175
ref
subst
proveHyp
4806
ref
126
ref
subst
4806
remove
194
ref
subst
2332
ref
2333
ref
36
ref
"_32122"
2
ref
var
4807
def
2299
ref
36
ref
545
ref
4807
remove
varTerm
4808
def
appTerm
4784
ref
appTerm
41
ref
appTerm
appTerm
49
ref
1000
ref
227
ref
725
ref
26
ref
49
ref
278
ref
4808
ref
appTerm
1080
ref
appTerm
appTerm
62
ref
appTerm
absTerm
appTerm
absTerm
appTerm
appTerm
4635
ref
4808
remove
appTerm
41
ref
appTerm
appTerm
appTerm
appTerm
absTerm
4809
def
39
ref
appTerm
4810
def
appTerm
refl
4809
ref
2322
ref
appTerm
betaConv
appThm
155
ref
4810
remove
betaConv
appThm
2299
ref
36
ref
2337
ref
4784
remove
appTerm
4811
def
41
ref
appTerm
appTerm
49
ref
1000
ref
227
ref
725
ref
26
ref
49
ref
278
ref
2322
ref
appTerm
1080
ref
appTerm
appTerm
62
ref
appTerm
absTerm
appTerm
absTerm
appTerm
appTerm
4812
def
4635
ref
2322
ref
appTerm
4813
def
41
ref
appTerm
appTerm
appTerm
4814
def
appTerm
4815
def
refl
appThm
trans
4809
remove
refl
2342
ref
appThm
eqMp
sym
nil
262
ref
2343
ref
2346
ref
4814
ref
appTerm
4816
def
absTerm
nil
cons
cons
nil
cons
nil
cons
cons
663
ref
subst
2343
ref
nil
139
ref
4816
remove
nil
cons
cons
nil
cons
nil
cons
cons
146
ref
subst
nil
2349
ref
111
ref
4814
ref
nil
cons
4817
def
cons
nil
cons
4818
def
cons
nil
cons
cons
4819
def
126
ref
subst
4819
remove
194
ref
subst
2353
ref
nil
2359
ref
4818
ref
cons
nil
cons
cons
175
ref
subst
proveHyp
nil
208
ref
2360
ref
2363
ref
4814
ref
appTerm
4820
def
absTerm
nil
cons
cons
nil
cons
nil
cons
cons
643
ref
subst
2360
ref
nil
139
ref
4820
remove
nil
cons
cons
nil
cons
nil
cons
cons
146
ref
subst
nil
2366
ref
4818
ref
cons
nil
cons
cons
4821
def
126
ref
subst
4821
remove
194
ref
subst
2368
ref
nil
2376
ref
4818
remove
cons
nil
cons
cons
4822
def
175
ref
subst
proveHyp
4822
ref
126
ref
subst
4822
remove
194
ref
subst
2382
ref
2383
ref
36
ref
"_32126"
2
ref
var
4823
def
36
ref
4811
ref
4823
remove
varTerm
4824
def
appTerm
appTerm
4812
ref
4813
ref
4824
remove
appTerm
appTerm
appTerm
absTerm
4825
def
41
ref
appTerm
4826
def
appTerm
refl
4825
ref
2369
ref
appTerm
betaConv
appThm
155
ref
4826
remove
betaConv
appThm
36
ref
4811
remove
2369
ref
appTerm
appTerm
4812
remove
4813
remove
2369
ref
appTerm
appTerm
4827
def
appTerm
refl
appThm
trans
4825
remove
refl
2392
ref
appThm
eqMp
sym
155
ref
2337
ref
refl
4828
def
4523
ref
refl
4829
def
nil
3740
remove
nil
cons
4830
def
nil
cons
cons
4831
def
493
ref
4223
remove
absTerm
4832
def
496
ref
appTerm
4833
def
betaConv
4224
remove
nil
110
ref
65
ref
4832
ref
appTerm
nil
cons
cons
111
ref
4833
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
175
ref
subst
proveHyp
256
ref
257
ref
4832
remove
nil
cons
cons
509
ref
cons
nil
cons
cons
205
ref
subst
eqMp
eqMp
subst
appThm
appThm
3035
ref
appThm
appThm
4827
remove
refl
appThm
sym
155
ref
4828
remove
nil
4196
ref
nil
cons
cons
48
ref
278
ref
4523
ref
498
ref
appTerm
appTerm
1078
ref
4523
ref
496
ref
appTerm
appTerm
4524
ref
appTerm
appTerm
absTerm
4834
def
57
ref
appTerm
4835
def
betaConv
493
ref
65
ref
4834
ref
appTerm
4836
def
absTerm
4837
def
496
ref
appTerm
4838
def
betaConv
nil
65
ref
4837
ref
appTerm
4839
def
axiom
nil
110
ref
4839
remove
nil
cons
cons
111
ref
4838
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
175
ref
subst
proveHyp
256
ref
257
ref
4837
remove
nil
cons
cons
509
ref
cons
nil
cons
cons
205
ref
subst
eqMp
eqMp
nil
110
ref
4836
remove
nil
cons
cons
111
ref
4835
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
175
ref
subst
proveHyp
256
ref
257
ref
4834
remove
nil
cons
cons
293
ref
cons
nil
cons
cons
205
ref
subst
eqMp
eqMp
4840
def
subst
1078
ref
refl
4543
remove
appThm
4841
def
4629
ref
appThm
trans
appThm
3035
ref
appThm
nil
2423
ref
2405
remove
cons
2445
ref
2439
remove
cons
2360
ref
4525
remove
cons
2343
ref
4544
ref
cons
nil
cons
cons
cons
cons
nil
cons
cons
nil
110
ref
2542
ref
cons
111
ref
49
ref
2451
remove
appTerm
4842
def
2429
ref
appTerm
4843
def
nil
cons
4844
def
cons
nil
cons
cons
nil
cons
cons
4845
def
335
ref
subst
4845
ref
126
ref
subst
4845
remove
194
ref
subst
29
ref
725
ref
26
ref
725
ref
542
ref
47
ref
66
ref
49
ref
548
ref
appTerm
4846
def
3226
remove
49
ref
3227
remove
appTerm
555
remove
2446
ref
appTerm
4847
def
appTerm
4848
def
appTerm
4849
def
appTerm
absTerm
appTerm
absTerm
appTerm
absTerm
appTerm
absTerm
4850
def
2322
ref
appTerm
betaConv
sym
26
ref
725
ref
542
ref
47
ref
66
ref
49
ref
2339
ref
appTerm
4851
def
3230
ref
4848
remove
appTerm
4852
def
appTerm
absTerm
appTerm
absTerm
appTerm
absTerm
4853
def
2369
ref
appTerm
betaConv
sym
542
ref
47
ref
66
ref
49
ref
2388
ref
appTerm
4854
def
3230
ref
49
ref
3233
remove
appTerm
4855
def
4847
remove
appTerm
appTerm
4856
def
appTerm
absTerm
appTerm
absTerm
4857
def
2457
ref
appTerm
betaConv
sym
66
ref
49
ref
2541
ref
appTerm
4858
def
3230
remove
4855
remove
72
ref
2457
ref
appTerm
74
ref
appTerm
2446
ref
appTerm
appTerm
appTerm
4859
def
appTerm
absTerm
4860
def
220
ref
appTerm
betaConv
sym
216
ref
nil
139
ref
2542
ref
cons
nil
cons
nil
cons
cons
146
ref
subst
2541
ref
assume
eqMp
4861
def
appThm
4862
def
3238
remove
216
ref
3239
remove
appThm
nil
1170
ref
2458
ref
cons
29
ref
2544
ref
cons
4863
def
227
ref
2458
ref
cons
nil
cons
4864
def
cons
4865
def
cons
nil
cons
cons
1330
ref
subst
nil
263
ref
2458
ref
cons
nil
cons
4866
def
nil
cons
cons
1388
ref
subst
trans
appThm
528
ref
trans
appThm
528
ref
trans
4867
def
appThm
528
ref
trans
sym
145
ref
eqMp
eqMp
256
ref
257
ref
4860
remove
nil
cons
cons
1331
ref
cons
nil
cons
cons
724
ref
subst
proveHyp
eqMp
207
ref
208
ref
4857
remove
nil
cons
cons
2744
ref
cons
nil
cons
cons
724
ref
subst
proveHyp
eqMp
207
ref
208
ref
4853
remove
nil
cons
cons
3240
ref
cons
nil
cons
cons
724
ref
subst
proveHyp
eqMp
207
ref
208
ref
4850
ref
nil
cons
cons
3241
ref
cons
nil
cons
cons
724
ref
subst
proveHyp
nil
110
ref
725
ref
4850
remove
appTerm
nil
cons
cons
111
ref
2452
remove
cons
nil
cons
4868
def
cons
nil
cons
cons
175
ref
subst
proveHyp
nil
3243
ref
3244
ref
552
ref
2458
ref
cons
4869
def
nil
cons
cons
cons
nil
cons
cons
552
ref
71
ref
725
ref
29
ref
725
ref
26
ref
725
ref
542
ref
47
ref
66
ref
4846
ref
559
ref
appTerm
4870
def
absTerm
4871
def
appTerm
4872
def
absTerm
4873
def
appTerm
4874
def
absTerm
4875
def
appTerm
4876
def
absTerm
4877
def
appTerm
4878
def
appTerm
4879
def
562
ref
appTerm
4880
def
absTerm
4881
def
556
ref
appTerm
4882
def
betaConv
70
ref
68
ref
4881
ref
appTerm
4883
def
absTerm
4884
def
81
ref
appTerm
4885
def
betaConv
69
ref
68
ref
4884
ref
appTerm
4886
def
absTerm
4887
def
76
ref
appTerm
4888
def
betaConv
539
ref
68
ref
4887
ref
appTerm
4889
def
absTerm
4890
def
544
ref
appTerm
4891
def
betaConv
nil
592
ref
539
ref
99
ref
29
ref
99
ref
26
ref
99
ref
542
ref
65
ref
66
ref
68
ref
69
ref
68
ref
70
ref
68
ref
552
ref
71
ref
4870
ref
appTerm
562
ref
appTerm
4892
def
absTerm
4893
def
appTerm
4894
def
absTerm
4895
def
appTerm
4896
def
absTerm
4897
def
appTerm
4898
def
absTerm
4899
def
appTerm
4900
def
absTerm
4901
def
appTerm
4902
def
absTerm
4903
def
appTerm
4904
def
absTerm
4905
def
appTerm
4906
def
absTerm
4907
def
nil
cons
cons
4908
def
nil
cons
nil
cons
cons
2815
ref
subst
539
ref
nil
139
ref
4906
remove
nil
cons
4909
def
cons
nil
cons
nil
cons
cons
146
ref
subst
nil
208
ref
4905
ref
nil
cons
cons
4910
def
nil
cons
nil
cons
cons
643
ref
subst
29
ref
nil
139
ref
4904
remove
nil
cons
4911
def
cons
nil
cons
nil
cons
cons
146
ref
subst
nil
208
ref
4903
ref
nil
cons
cons
4912
def
nil
cons
nil
cons
cons
643
ref
subst
26
ref
nil
139
ref
4902
remove
nil
cons
4913
def
cons
nil
cons
nil
cons
cons
146
ref
subst
nil
208
ref
4901
ref
nil
cons
cons
4914
def
nil
cons
nil
cons
cons
643
ref
subst
542
ref
nil
139
ref
4900
remove
nil
cons
4915
def
cons
nil
cons
nil
cons
cons
146
ref
subst
nil
257
ref
4899
ref
nil
cons
cons
4916
def
nil
cons
nil
cons
cons
662
ref
subst
66
ref
nil
139
ref
4898
remove
nil
cons
4917
def
cons
nil
cons
nil
cons
cons
146
ref
subst
nil
262
ref
4897
ref
nil
cons
cons
4918
def
nil
cons
nil
cons
cons
663
ref
subst
69
ref
nil
139
ref
4896
remove
nil
cons
4919
def
cons
nil
cons
nil
cons
cons
146
ref
subst
nil
262
ref
4895
ref
nil
cons
cons
4920
def
nil
cons
nil
cons
cons
663
ref
subst
70
ref
nil
139
ref
4894
remove
nil
cons
4921
def
cons
nil
cons
nil
cons
cons
146
ref
subst
nil
262
ref
4893
ref
nil
cons
cons
4922
def
nil
cons
nil
cons
cons
663
ref
subst
552
ref
nil
139
ref
4892
remove
nil
cons
cons
nil
cons
nil
cons
cons
146
ref
subst
226
ref
216
ref
596
ref
appThm
4923
def
559
ref
refl
4924
def
appThm
appThm
599
remove
appThm
sym
nil
110
ref
49
ref
575
ref
appTerm
4925
def
559
ref
appTerm
nil
cons
4926
def
cons
2500
ref
cons
nil
cons
cons
4927
def
126
ref
subst
4927
remove
194
ref
subst
nil
151
ref
575
ref
nil
cons
4928
def
cons
4929
def
153
ref
559
ref
nil
cons
4930
def
cons
nil
cons
cons
nil
cons
cons
4931
def
167
ref
subst
4931
remove
334
ref
subst
nil
110
ref
4928
ref
cons
4932
def
2500
ref
cons
nil
cons
cons
175
ref
subst
nil
257
ref
48
ref
4664
ref
562
ref
appTerm
4933
def
absTerm
nil
cons
cons
nil
cons
nil
cons
cons
662
ref
subst
48
ref
nil
139
ref
4933
remove
nil
cons
cons
nil
cons
nil
cons
cons
146
ref
subst
nil
4667
ref
2500
ref
cons
nil
cons
cons
4934
def
126
ref
subst
4934
remove
194
ref
subst
4671
ref
nil
4673
ref
2500
ref
cons
nil
cons
cons
4935
def
175
ref
subst
proveHyp
4935
ref
126
ref
subst
4935
remove
194
ref
subst
4677
ref
4680
ref
4684
remove
334
ref
subst
4936
def
nil
110
ref
4930
ref
cons
4937
def
2500
ref
cons
nil
cons
cons
175
ref
subst
563
ref
556
ref
appTerm
4938
def
betaConv
565
ref
81
ref
appTerm
4939
def
betaConv
567
ref
76
ref
appTerm
4940
def
betaConv
569
ref
74
ref
appTerm
4941
def
betaConv
nil
110
ref
4682
ref
cons
4942
def
111
ref
4941
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
175
ref
subst
256
ref
257
ref
569
remove
nil
cons
cons
260
ref
cons
nil
cons
cons
205
ref
subst
eqMp
eqMp
nil
110
ref
568
remove
nil
cons
cons
111
ref
4940
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
175
ref
subst
proveHyp
261
ref
262
ref
567
remove
nil
cons
cons
824
ref
cons
nil
cons
cons
205
ref
subst
eqMp
eqMp
nil
110
ref
566
remove
nil
cons
cons
111
ref
4939
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
175
ref
subst
proveHyp
261
ref
262
ref
565
remove
nil
cons
cons
828
ref
cons
nil
cons
cons
205
ref
subst
eqMp
eqMp
nil
110
ref
564
remove
nil
cons
cons
111
ref
4938
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
175
ref
subst
proveHyp
261
ref
262
ref
563
remove
nil
cons
cons
2526
ref
cons
nil
cons
cons
205
ref
subst
eqMp
eqMp
eqMp
4943
def
proveHyp
proveHyp
proveHyp
eqMp
nil
4693
ref
2527
ref
cons
nil
cons
cons
167
ref
subst
deductAntisym
eqMp
eqMp
eqMp
nil
4695
ref
2527
ref
cons
nil
cons
cons
167
ref
subst
deductAntisym
eqMp
eqMp
absThm
eqMp
nil
110
ref
65
ref
258
ref
4696
ref
562
ref
appTerm
absTerm
appTerm
nil
cons
cons
111
ref
4697
ref
562
ref
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
175
ref
subst
proveHyp
256
ref
4698
ref
2527
ref
cons
nil
cons
cons
811
ref
subst
eqMp
eqMp
proveHyp
proveHyp
eqMp
nil
151
ref
4926
remove
cons
2527
ref
cons
nil
cons
cons
167
ref
subst
deductAntisym
eqMp
eqMp
4944
def
eqMp
absThm
eqMp
eqMp
absThm
eqMp
eqMp
absThm
eqMp
eqMp
absThm
eqMp
eqMp
absThm
eqMp
eqMp
absThm
eqMp
eqMp
absThm
eqMp
eqMp
absThm
eqMp
4945
def
nil
110
ref
588
ref
4907
ref
appTerm
4946
def
nil
cons
4947
def
cons
4948
def
111
ref
588
ref
4890
ref
appTerm
nil
cons
4949
def
cons
nil
cons
cons
nil
cons
cons
4950
def
175
ref
subst
proveHyp
4950
ref
126
ref
subst
4950
remove
194
ref
subst
nil
592
ref
4890
remove
nil
cons
cons
4951
def
nil
cons
nil
cons
cons
2815
ref
subst
539
ref
nil
139
ref
4889
remove
nil
cons
4952
def
cons
nil
cons
nil
cons
cons
146
ref
subst
nil
262
ref
4887
remove
nil
cons
cons
4953
def
nil
cons
nil
cons
cons
663
ref
subst
69
ref
nil
139
ref
4886
remove
nil
cons
4954
def
cons
nil
cons
nil
cons
cons
146
ref
subst
nil
262
ref
4884
remove
nil
cons
cons
4955
def
nil
cons
nil
cons
cons
663
ref
subst
70
ref
nil
139
ref
4883
remove
nil
cons
4956
def
cons
nil
cons
nil
cons
cons
146
ref
subst
nil
262
ref
4881
remove
nil
cons
cons
4957
def
nil
cons
nil
cons
cons
663
ref
subst
552
ref
nil
139
ref
4880
remove
nil
cons
cons
nil
cons
nil
cons
cons
146
ref
subst
nil
110
ref
4878
remove
nil
cons
4958
def
cons
4959
def
2500
ref
cons
nil
cons
cons
4960
def
126
ref
subst
4960
remove
194
ref
subst
nil
4948
ref
2500
ref
cons
nil
cons
cons
4961
def
175
ref
subst
nil
4959
remove
111
ref
71
ref
4946
ref
appTerm
562
ref
appTerm
4962
def
nil
cons
4963
def
cons
nil
cons
4964
def
cons
nil
cons
cons
175
ref
subst
nil
208
ref
29
ref
71
ref
4877
ref
39
ref
appTerm
4965
def
appTerm
4962
ref
appTerm
4966
def
absTerm
4967
def
nil
cons
cons
nil
cons
nil
cons
cons
643
ref
subst
29
ref
nil
139
ref
4966
remove
nil
cons
cons
nil
cons
nil
cons
cons
146
ref
subst
nil
110
ref
4965
ref
nil
cons
4968
def
cons
4964
ref
cons
nil
cons
cons
4969
def
126
ref
subst
4969
remove
194
ref
subst
4965
ref
betaConv
4965
remove
assume
eqMp
nil
110
ref
4876
ref
nil
cons
cons
4964
ref
cons
nil
cons
cons
175
ref
subst
proveHyp
nil
208
ref
26
ref
71
ref
4875
ref
41
ref
appTerm
4970
def
appTerm
4962
ref
appTerm
4971
def
absTerm
nil
cons
cons
nil
cons
nil
cons
cons
643
ref
subst
26
ref
nil
139
ref
4971
remove
nil
cons
cons
nil
cons
nil
cons
cons
146
ref
subst
nil
110
ref
4970
ref
nil
cons
4972
def
cons
4964
ref
cons
nil
cons
cons
4973
def
126
ref
subst
4973
remove
194
ref
subst
4970
ref
betaConv
4970
remove
assume
eqMp
nil
110
ref
4874
ref
nil
cons
cons
4964
ref
cons
nil
cons
cons
175
ref
subst
proveHyp
nil
208
ref
542
ref
71
ref
4873
ref
547
ref
appTerm
4974
def
appTerm
4962
ref
appTerm
4975
def
absTerm
nil
cons
cons
nil
cons
nil
cons
cons
643
ref
subst
542
ref
nil
139
ref
4975
remove
nil
cons
cons
nil
cons
nil
cons
cons
146
ref
subst
nil
110
ref
4974
ref
nil
cons
4976
def
cons
4964
ref
cons
nil
cons
cons
4977
def
126
ref
subst
4977
remove
194
ref
subst
4974
ref
betaConv
4974
remove
assume
eqMp
nil
110
ref
4872
ref
nil
cons
cons
4964
ref
cons
nil
cons
cons
175
ref
subst
proveHyp
nil
257
ref
66
ref
71
ref
4871
ref
74
ref
appTerm
4978
def
appTerm
4962
ref
appTerm
4979
def
absTerm
nil
cons
cons
nil
cons
nil
cons
cons
662
ref
subst
66
ref
nil
139
ref
4979
remove
nil
cons
cons
nil
cons
nil
cons
cons
146
ref
subst
nil
110
ref
4978
ref
nil
cons
4980
def
cons
4964
ref
cons
nil
cons
cons
4981
def
126
ref
subst
4981
remove
194
ref
subst
4978
ref
betaConv
4978
remove
assume
eqMp
nil
110
ref
4870
remove
nil
cons
4982
def
cons
4983
def
4964
remove
cons
nil
cons
cons
4984
def
175
ref
subst
proveHyp
4984
ref
126
ref
subst
4984
remove
194
ref
subst
4961
ref
126
ref
subst
4961
remove
194
ref
subst
nil
4983
remove
2500
ref
cons
nil
cons
cons
175
ref
subst
4893
remove
556
ref
appTerm
4985
def
betaConv
4895
remove
81
ref
appTerm
4986
def
betaConv
4897
remove
76
ref
appTerm
4987
def
betaConv
4899
remove
74
ref
appTerm
4988
def
betaConv
4901
remove
547
ref
appTerm
4989
def
betaConv
4903
remove
41
ref
appTerm
4990
def
betaConv
4905
remove
39
ref
appTerm
4991
def
betaConv
4907
remove
544
ref
appTerm
4992
def
betaConv
nil
4948
remove
111
ref
4992
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
175
ref
subst
591
ref
4908
remove
593
ref
cons
nil
cons
cons
205
ref
subst
eqMp
eqMp
nil
110
ref
4909
remove
cons
111
ref
4991
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
175
ref
subst
proveHyp
207
ref
4910
remove
210
ref
cons
nil
cons
cons
205
ref
subst
eqMp
eqMp
nil
110
ref
4911
remove
cons
111
ref
4990
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
175
ref
subst
proveHyp
207
ref
4912
remove
213
ref
cons
nil
cons
cons
205
ref
subst
eqMp
eqMp
nil
110
ref
4913
remove
cons
111
ref
4989
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
175
ref
subst
proveHyp
207
ref
4914
remove
595
ref
cons
nil
cons
cons
205
ref
subst
eqMp
eqMp
nil
110
ref
4915
remove
cons
111
ref
4988
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
175
ref
subst
proveHyp
256
ref
4916
remove
260
ref
cons
nil
cons
cons
205
ref
subst
eqMp
eqMp
nil
110
ref
4917
remove
cons
111
ref
4987
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
175
ref
subst
proveHyp
261
ref
4918
remove
824
ref
cons
nil
cons
cons
205
ref
subst
eqMp
eqMp
nil
110
ref
4919
remove
cons
111
ref
4986
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
175
ref
subst
proveHyp
261
ref
4920
remove
828
ref
cons
nil
cons
cons
205
ref
subst
eqMp
eqMp
nil
110
ref
4921
remove
cons
111
ref
4985
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
175
ref
subst
proveHyp
261
ref
4922
remove
2526
ref
cons
nil
cons
cons
205
ref
subst
eqMp
eqMp
eqMp
eqMp
nil
151
ref
4947
remove
cons
4993
def
2527
ref
cons
nil
cons
cons
167
ref
subst
deductAntisym
eqMp
eqMp
nil
151
ref
4982
remove
cons
153
ref
4963
remove
cons
nil
cons
4994
def
cons
nil
cons
cons
167
ref
subst
deductAntisym
eqMp
eqMp
eqMp
nil
151
ref
4980
remove
cons
4994
ref
cons
nil
cons
cons
167
ref
subst
deductAntisym
eqMp
eqMp
absThm
eqMp
nil
110
ref
65
ref
258
ref
71
ref
4871
ref
797
ref
appTerm
appTerm
4962
ref
appTerm
absTerm
appTerm
nil
cons
cons
111
ref
71
ref
4872
remove
appTerm
4962
ref
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
175
ref
subst
proveHyp
256
ref
257
ref
4871
remove
nil
cons
cons
4994
ref
cons
nil
cons
cons
811
ref
subst
eqMp
eqMp
eqMp
nil
151
ref
4976
remove
cons
4994
ref
cons
nil
cons
cons
167
ref
subst
deductAntisym
eqMp
eqMp
absThm
eqMp
nil
110
ref
99
ref
1892
ref
71
ref
4873
ref
1893
ref
appTerm
appTerm
4962
ref
appTerm
absTerm
appTerm
nil
cons
cons
111
ref
71
ref
4874
remove
appTerm
4962
ref
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
175
ref
subst
proveHyp
207
ref
208
ref
4873
remove
nil
cons
cons
4994
ref
cons
nil
cons
cons
811
ref
subst
eqMp
eqMp
eqMp
nil
151
ref
4972
remove
cons
4994
ref
cons
nil
cons
cons
167
ref
subst
deductAntisym
eqMp
eqMp
absThm
eqMp
nil
110
ref
99
ref
1892
ref
71
ref
4875
ref
1893
ref
appTerm
appTerm
4962
ref
appTerm
absTerm
appTerm
nil
cons
cons
111
ref
71
ref
4876
remove
appTerm
4962
ref
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
175
ref
subst
proveHyp
207
ref
208
ref
4875
remove
nil
cons
cons
4994
ref
cons
nil
cons
cons
811
ref
subst
eqMp
eqMp
eqMp
nil
151
ref
4968
remove
cons
4994
ref
cons
nil
cons
cons
167
ref
subst
deductAntisym
eqMp
eqMp
absThm
eqMp
nil
110
ref
99
ref
4967
remove
appTerm
nil
cons
cons
111
ref
4879
remove
4962
remove
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
175
ref
subst
proveHyp
207
ref
208
ref
4877
remove
nil
cons
cons
4994
remove
cons
nil
cons
cons
811
ref
subst
eqMp
eqMp
eqMp
eqMp
nil
151
ref
4958
remove
cons
2527
ref
cons
nil
cons
cons
167
ref
subst
deductAntisym
eqMp
eqMp
absThm
eqMp
eqMp
absThm
eqMp
eqMp
absThm
eqMp
eqMp
absThm
eqMp
eqMp
nil
4993
remove
153
ref
4949
ref
cons
nil
cons
cons
nil
cons
cons
167
ref
subst
deductAntisym
eqMp
eqMp
nil
110
ref
4949
remove
cons
111
ref
4891
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
175
ref
subst
proveHyp
591
ref
4951
remove
593
ref
cons
nil
cons
cons
205
ref
subst
eqMp
eqMp
nil
110
ref
4952
remove
cons
111
ref
4888
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
175
ref
subst
proveHyp
261
ref
4953
remove
824
ref
cons
nil
cons
cons
205
ref
subst
eqMp
eqMp
nil
110
ref
4954
remove
cons
111
ref
4885
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
175
ref
subst
proveHyp
261
ref
4955
remove
828
ref
cons
nil
cons
cons
205
ref
subst
eqMp
eqMp
nil
110
ref
4956
remove
cons
111
ref
4882
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
175
ref
subst
proveHyp
261
ref
4957
remove
2526
ref
cons
nil
cons
cons
205
ref
subst
eqMp
eqMp
subst
eqMp
nil
2453
remove
111
ref
2430
ref
cons
nil
cons
4995
def
cons
nil
cons
cons
194
ref
subst
4996
def
proveHyp
542
ref
71
ref
2388
remove
appTerm
4997
def
47
ref
48
ref
3352
ref
49
ref
3363
remove
appTerm
4998
def
550
ref
appTerm
appTerm
4999
def
absTerm
appTerm
appTerm
absTerm
5000
def
2457
ref
appTerm
5001
def
betaConv
26
ref
99
ref
542
ref
71
ref
2339
ref
appTerm
5002
def
47
ref
48
ref
3352
ref
4658
ref
appTerm
5003
def
absTerm
appTerm
appTerm
absTerm
appTerm
absTerm
5004
def
2369
ref
appTerm
5005
def
betaConv
29
ref
99
ref
26
ref
99
ref
542
ref
71
ref
548
ref
appTerm
5006
def
4661
ref
appTerm
5007
def
absTerm
5008
def
appTerm
5009
def
absTerm
5010
def
appTerm
5011
def
absTerm
5012
def
2322
ref
appTerm
5013
def
betaConv
nil
208
ref
5012
ref
nil
cons
cons
5014
def
nil
cons
nil
cons
cons
643
ref
subst
29
ref
nil
139
ref
5011
remove
nil
cons
cons
nil
cons
nil
cons
cons
146
ref
subst
nil
208
ref
5010
remove
nil
cons
cons
nil
cons
nil
cons
cons
643
ref
subst
26
ref
nil
139
ref
5009
remove
nil
cons
cons
nil
cons
nil
cons
cons
146
ref
subst
nil
208
ref
5008
remove
nil
cons
cons
nil
cons
nil
cons
cons
643
ref
subst
542
ref
nil
139
ref
5007
remove
nil
cons
5015
def
cons
nil
cons
nil
cons
cons
146
ref
subst
4699
ref
eqMp
absThm
eqMp
eqMp
absThm
eqMp
eqMp
absThm
eqMp
5016
def
nil
110
ref
99
ref
5012
remove
appTerm
5017
def
nil
cons
5018
def
cons
111
ref
5013
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
175
ref
subst
proveHyp
207
ref
5014
remove
3241
ref
cons
nil
cons
cons
205
ref
subst
eqMp
eqMp
nil
110
ref
99
ref
5004
ref
appTerm
nil
cons
cons
111
ref
5005
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
175
ref
subst
proveHyp
207
ref
208
ref
5004
remove
nil
cons
cons
3240
ref
cons
nil
cons
cons
205
ref
subst
eqMp
eqMp
nil
110
ref
99
ref
5000
ref
appTerm
nil
cons
cons
111
ref
5001
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
175
ref
subst
proveHyp
207
ref
208
ref
5000
remove
nil
cons
cons
2744
ref
cons
nil
cons
cons
205
ref
subst
eqMp
eqMp
nil
110
ref
71
ref
2541
ref
appTerm
5019
def
47
ref
48
ref
3352
remove
4998
remove
52
ref
54
ref
2457
ref
appTerm
appTerm
57
ref
appTerm
appTerm
appTerm
5020
def
absTerm
appTerm
appTerm
nil
cons
cons
4995
ref
cons
nil
cons
cons
175
ref
subst
proveHyp
226
ref
226
ref
4861
remove
appThm
215
ref
48
ref
3384
remove
216
ref
3391
remove
appThm
217
ref
nil
26
ref
2544
ref
cons
29
ref
2549
remove
cons
nil
cons
cons
5021
def
nil
cons
cons
1580
ref
subst
1288
ref
nil
4864
remove
nil
cons
cons
1162
ref
subst
5022
def
306
ref
trans
appThm
54
ref
2424
ref
appTerm
5023
def
refl
appThm
nil
48
ref
5023
ref
nil
cons
5024
def
cons
5025
def
3370
ref
cons
nil
cons
cons
3378
ref
subst
305
ref
nil
5025
remove
nil
cons
nil
cons
cons
5026
def
3383
ref
subst
appThm
trans
trans
trans
appThm
222
ref
appThm
appThm
appThm
5027
def
absThm
appThm
appThm
nil
139
ref
47
ref
48
ref
3394
remove
49
ref
3396
remove
appTerm
52
ref
300
ref
5023
ref
appTerm
appTerm
5028
def
57
ref
appTerm
appTerm
appTerm
5029
def
absTerm
5030
def
appTerm
5031
def
nil
cons
cons
nil
cons
nil
cons
cons
840
ref
subst
trans
appThm
2429
ref
refl
5032
def
appThm
sym
nil
257
ref
493
ref
71
ref
5030
ref
496
ref
appTerm
5033
def
appTerm
2429
ref
appTerm
5034
def
absTerm
nil
cons
cons
nil
cons
nil
cons
cons
662
ref
subst
493
ref
nil
139
ref
5034
remove
nil
cons
cons
nil
cons
nil
cons
cons
146
ref
subst
nil
110
ref
5033
ref
nil
cons
5035
def
cons
4995
ref
cons
nil
cons
cons
5036
def
126
ref
subst
5036
remove
194
ref
subst
5033
ref
betaConv
5033
remove
assume
eqMp
nil
110
ref
3404
remove
49
ref
3405
remove
appTerm
5028
ref
496
ref
appTerm
appTerm
appTerm
5037
def
nil
cons
cons
4995
ref
cons
nil
cons
cons
175
ref
subst
proveHyp
3408
ref
nil
3410
ref
111
ref
71
ref
5037
ref
appTerm
2429
ref
appTerm
5038
def
nil
cons
5039
def
cons
nil
cons
5040
def
cons
nil
cons
cons
5041
def
175
ref
subst
proveHyp
5041
ref
126
ref
subst
5041
remove
194
ref
subst
nil
257
ref
48
ref
3416
ref
5038
ref
appTerm
5042
def
absTerm
nil
cons
cons
nil
cons
nil
cons
cons
662
ref
subst
48
ref
nil
139
ref
5042
remove
nil
cons
cons
nil
cons
nil
cons
cons
146
ref
subst
nil
3419
ref
5040
ref
cons
nil
cons
cons
5043
def
126
ref
subst
5043
remove
194
ref
subst
3421
ref
nil
3423
ref
5040
ref
cons
nil
cons
cons
5044
def
175
ref
subst
proveHyp
5044
ref
126
ref
subst
5044
remove
194
ref
subst
36
ref
"_32034"
44
ref
var
5045
def
71
ref
49
ref
3393
ref
5045
remove
varTerm
5046
def
appTerm
appTerm
49
ref
3395
ref
5046
ref
appTerm
appTerm
5028
ref
5046
remove
appTerm
appTerm
appTerm
appTerm
2429
ref
appTerm
absTerm
5047
def
496
ref
appTerm
5048
def
appTerm
refl
5049
def
5047
ref
309
ref
appTerm
betaConv
appThm
155
ref
5048
remove
betaConv
appThm
5050
def
71
ref
3431
remove
49
ref
3432
remove
appTerm
5028
ref
309
ref
appTerm
appTerm
appTerm
5051
def
appTerm
2429
ref
appTerm
refl
appThm
trans
5047
remove
refl
5052
def
3434
ref
appThm
eqMp
sym
226
ref
3444
remove
216
ref
3445
remove
appThm
nil
493
ref
5024
remove
cons
nil
cons
nil
cons
cons
3443
ref
subst
appThm
appThm
5053
def
appThm
5032
ref
appThm
sym
nil
110
ref
2393
ref
3954
ref
52
ref
5023
ref
appTerm
57
ref
appTerm
5054
def
appTerm
5055
def
appTerm
5056
def
nil
cons
5057
def
cons
4995
ref
cons
nil
cons
cons
5058
def
126
ref
subst
5058
remove
194
ref
subst
nil
3449
remove
153
ref
5055
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
5059
def
167
ref
subst
5060
def
5059
remove
334
ref
subst
5061
def
nil
151
ref
2379
remove
cons
153
ref
5054
ref
nil
cons
cons
nil
cons
5062
def
cons
nil
cons
cons
5063
def
167
ref
subst
5064
def
5063
remove
334
ref
subst
5065
def
29
ref
725
ref
26
ref
725
ref
542
ref
47
ref
271
ref
47
ref
48
ref
4846
ref
3451
remove
49
ref
3452
remove
appTerm
235
ref
547
ref
appTerm
5066
def
275
ref
appTerm
57
ref
appTerm
5067
def
2424
ref
appTerm
5068
def
appTerm
5069
def
appTerm
5070
def
appTerm
absTerm
appTerm
absTerm
appTerm
absTerm
appTerm
absTerm
appTerm
absTerm
5071
def
2322
ref
appTerm
betaConv
sym
26
ref
725
ref
542
ref
47
ref
271
ref
47
ref
48
ref
4851
remove
3455
ref
5069
remove
appTerm
5072
def
appTerm
absTerm
appTerm
absTerm
appTerm
absTerm
appTerm
absTerm
5073
def
2369
ref
appTerm
betaConv
sym
542
ref
47
ref
271
ref
47
ref
48
ref
4854
remove
3455
ref
49
ref
3458
remove
appTerm
5074
def
5068
remove
appTerm
appTerm
5075
def
appTerm
absTerm
appTerm
absTerm
appTerm
absTerm
5076
def
2457
ref
appTerm
betaConv
sym
271
ref
47
ref
48
ref
4858
ref
3455
remove
5074
remove
235
ref
2457
ref
appTerm
5077
def
275
ref
appTerm
57
ref
appTerm
2424
ref
appTerm
appTerm
appTerm
5078
def
appTerm
absTerm
appTerm
absTerm
5079
def
240
ref
appTerm
betaConv
sym
48
ref
4858
ref
3462
remove
49
ref
3464
ref
appTerm
5077
ref
240
ref
appTerm
5080
def
57
ref
appTerm
2424
ref
appTerm
5081
def
appTerm
5082
def
appTerm
5083
def
appTerm
absTerm
5084
def
57
ref
appTerm
betaConv
sym
nil
3125
ref
5082
remove
nil
cons
cons
5085
def
3469
ref
3127
ref
2542
ref
cons
nil
cons
cons
cons
nil
cons
cons
3479
ref
subst
nil
3125
ref
5081
ref
nil
cons
5086
def
cons
5087
def
3126
ref
3467
remove
cons
5088
def
3127
ref
4858
remove
3461
ref
appTerm
nil
cons
cons
nil
cons
cons
cons
nil
cons
cons
3479
ref
subst
trans
216
ref
216
ref
4862
remove
3480
ref
appThm
3481
remove
trans
appThm
3482
ref
appThm
appThm
5081
remove
refl
5089
def
appThm
trans
sym
3512
remove
nil
110
ref
3465
remove
nil
cons
cons
111
ref
5086
remove
cons
nil
cons
5090
def
cons
nil
cons
cons
194
ref
subst
proveHyp
36
ref
"_32036"
44
ref
var
5091
def
5080
ref
5091
remove
varTerm
appTerm
2424
ref
appTerm
absTerm
5092
def
57
ref
appTerm
5093
def
appTerm
refl
5092
ref
5023
ref
appTerm
betaConv
appThm
155
ref
5093
remove
betaConv
appThm
5080
remove
5023
ref
appTerm
2424
ref
appTerm
refl
appThm
trans
5092
remove
refl
5054
ref
assume
5094
def
sym
appThm
eqMp
sym
5022
remove
36
ref
"_32038"
44
ref
var
5095
def
5077
ref
5095
remove
varTerm
appTerm
5023
ref
appTerm
2424
ref
appTerm
absTerm
5096
def
240
ref
appTerm
5097
def
appTerm
refl
5096
ref
54
ref
2455
remove
appTerm
5098
def
appTerm
betaConv
appThm
155
ref
5097
remove
betaConv
appThm
5077
remove
5098
ref
appTerm
5023
remove
appTerm
2424
ref
appTerm
refl
appThm
trans
5096
remove
refl
52
ref
5098
remove
appTerm
240
ref
appTerm
assume
sym
appThm
eqMp
sym
nil
542
ref
2544
ref
cons
5099
def
5021
remove
cons
nil
cons
cons
3499
ref
subst
nil
4863
remove
nil
cons
5100
def
nil
cons
cons
3500
ref
subst
trans
sym
145
ref
eqMp
eqMp
proveHyp
eqMp
5101
def
eqMp
eqMp
eqMp
256
ref
257
ref
5084
remove
nil
cons
cons
293
ref
cons
nil
cons
cons
724
ref
subst
proveHyp
eqMp
256
ref
257
ref
5079
remove
nil
cons
cons
704
ref
cons
nil
cons
cons
724
ref
subst
proveHyp
eqMp
207
ref
208
ref
5076
remove
nil
cons
cons
2744
ref
cons
nil
cons
cons
724
ref
subst
proveHyp
eqMp
207
ref
208
ref
5073
remove
nil
cons
cons
3240
ref
cons
nil
cons
cons
724
ref
subst
proveHyp
eqMp
207
ref
208
ref
5071
ref
nil
cons
cons
3241
ref
cons
nil
cons
cons
724
ref
subst
proveHyp
nil
110
ref
725
ref
5071
remove
appTerm
nil
cons
cons
4995
ref
cons
nil
cons
cons
175
ref
subst
proveHyp
nil
"zs"
2
ref
var
5102
def
2544
remove
cons
5103
def
3517
remove
cons
nil
cons
cons
5102
ref
71
ref
725
ref
29
ref
725
ref
26
ref
725
ref
542
ref
47
ref
271
ref
47
ref
48
ref
4846
ref
3520
ref
49
ref
3522
remove
appTerm
5104
def
5067
ref
5102
ref
varTerm
5105
def
appTerm
5106
def
appTerm
5107
def
appTerm
5108
def
appTerm
5109
def
absTerm
5110
def
appTerm
5111
def
absTerm
5112
def
appTerm
5113
def
absTerm
5114
def
appTerm
5115
def
absTerm
5116
def
appTerm
5117
def
absTerm
5118
def
appTerm
5119
def
appTerm
5120
def
545
ref
3518
ref
appTerm
3521
ref
appTerm
5105
ref
appTerm
5121
def
appTerm
5122
def
absTerm
5123
def
5105
ref
appTerm
5124
def
betaConv
3513
ref
99
ref
5123
ref
appTerm
5125
def
absTerm
5126
def
3521
ref
appTerm
5127
def
betaConv
3515
ref
99
ref
5126
ref
appTerm
5128
def
absTerm
5129
def
3518
ref
appTerm
5130
def
betaConv
539
ref
99
ref
5129
ref
appTerm
5131
def
absTerm
5132
def
544
ref
appTerm
5133
def
betaConv
nil
592
ref
539
ref
99
ref
29
ref
99
ref
26
ref
99
ref
542
ref
65
ref
271
ref
65
ref
48
ref
99
ref
3515
ref
99
ref
3513
ref
99
ref
5102
ref
71
ref
5109
ref
appTerm
5121
ref
appTerm
5134
def
absTerm
5135
def
appTerm
5136
def
absTerm
5137
def
appTerm
5138
def
absTerm
5139
def
appTerm
5140
def
absTerm
5141
def
appTerm
5142
def
absTerm
5143
def
appTerm
5144
def
absTerm
5145
def
appTerm
5146
def
absTerm
5147
def
appTerm
5148
def
absTerm
5149
def
appTerm
5150
def
absTerm
5151
def
nil
cons
cons
5152
def
nil
cons
nil
cons
cons
2815
ref
subst
539
ref
nil
139
ref
5150
remove
nil
cons
5153
def
cons
nil
cons
nil
cons
cons
146
ref
subst
nil
208
ref
5149
ref
nil
cons
cons
5154
def
nil
cons
nil
cons
cons
643
ref
subst
29
ref
nil
139
ref
5148
remove
nil
cons
5155
def
cons
nil
cons
nil
cons
cons
146
ref
subst
nil
208
ref
5147
ref
nil
cons
cons
5156
def
nil
cons
nil
cons
cons
643
ref
subst
26
ref
nil
139
ref
5146
remove
nil
cons
5157
def
cons
nil
cons
nil
cons
cons
146
ref
subst
nil
208
ref
5145
ref
nil
cons
cons
5158
def
nil
cons
nil
cons
cons
643
ref
subst
542
ref
nil
139
ref
5144
remove
nil
cons
5159
def
cons
nil
cons
nil
cons
cons
146
ref
subst
nil
257
ref
5143
ref
nil
cons
cons
5160
def
nil
cons
nil
cons
cons
662
ref
subst
271
ref
nil
139
ref
5142
remove
nil
cons
5161
def
cons
nil
cons
nil
cons
cons
146
ref
subst
nil
257
ref
5141
ref
nil
cons
cons
5162
def
nil
cons
nil
cons
cons
662
ref
subst
48
ref
nil
139
ref
5140
remove
nil
cons
5163
def
cons
nil
cons
nil
cons
cons
146
ref
subst
nil
208
ref
5139
ref
nil
cons
cons
5164
def
nil
cons
nil
cons
cons
643
ref
subst
3515
ref
nil
139
ref
5138
remove
nil
cons
5165
def
cons
nil
cons
nil
cons
cons
146
ref
subst
nil
208
ref
5137
ref
nil
cons
cons
5166
def
nil
cons
nil
cons
cons
643
ref
subst
3513
ref
nil
139
ref
5136
remove
nil
cons
5167
def
cons
nil
cons
nil
cons
cons
146
ref
subst
nil
208
ref
5135
ref
nil
cons
cons
5168
def
nil
cons
nil
cons
cons
643
ref
subst
5102
ref
nil
139
ref
5134
remove
nil
cons
cons
nil
cons
nil
cons
cons
146
ref
subst
226
ref
4923
remove
5108
ref
refl
5169
def
appThm
appThm
nil
542
ref
5105
ref
nil
cons
5170
def
cons
5171
def
3577
remove
cons
nil
cons
cons
596
ref
subst
appThm
sym
nil
110
ref
4925
remove
5108
ref
appTerm
nil
cons
5172
def
cons
111
ref
47
ref
48
ref
3580
remove
3582
remove
49
ref
52
ref
54
ref
5105
ref
appTerm
appTerm
57
ref
appTerm
5173
def
appTerm
65
ref
66
ref
68
ref
69
ref
68
ref
70
ref
68
ref
552
ref
71
ref
3584
remove
49
ref
3585
remove
appTerm
72
ref
5105
ref
appTerm
74
ref
appTerm
556
ref
appTerm
5174
def
appTerm
5175
def
appTerm
5176
def
appTerm
562
ref
appTerm
5177
def
absTerm
5178
def
appTerm
5179
def
absTerm
5180
def
appTerm
5181
def
absTerm
5182
def
appTerm
5183
def
absTerm
5184
def
appTerm
5185
def
appTerm
5186
def
appTerm
5187
def
appTerm
absTerm
5188
def
appTerm
5189
def
nil
cons
5190
def
cons
nil
cons
5191
def
cons
nil
cons
cons
5192
def
126
ref
subst
5192
remove
194
ref
subst
nil
4929
remove
153
ref
5108
ref
nil
cons
cons
nil
cons
5193
def
cons
nil
cons
cons
5194
def
167
ref
subst
5194
remove
334
ref
subst
nil
4932
ref
5191
ref
cons
nil
cons
cons
175
ref
subst
nil
257
ref
493
ref
71
ref
574
remove
496
ref
appTerm
5195
def
appTerm
5189
ref
appTerm
5196
def
absTerm
nil
cons
cons
nil
cons
nil
cons
cons
662
ref
subst
493
ref
nil
139
ref
5196
remove
nil
cons
cons
nil
cons
nil
cons
cons
146
ref
subst
nil
110
ref
5195
ref
nil
cons
5197
def
cons
5191
ref
cons
nil
cons
cons
5198
def
126
ref
subst
5198
remove
194
ref
subst
5195
ref
betaConv
5195
remove
assume
eqMp
nil
110
ref
3605
ref
3607
ref
49
ref
549
ref
496
ref
appTerm
5199
def
appTerm
570
ref
appTerm
5200
def
appTerm
5201
def
appTerm
nil
cons
5202
def
cons
5191
remove
cons
nil
cons
cons
5203
def
175
ref
subst
proveHyp
5203
ref
126
ref
subst
5203
remove
194
ref
subst
nil
3612
ref
153
ref
5201
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
334
ref
subst
nil
3614
remove
153
ref
5200
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
334
ref
subst
nil
151
ref
5199
remove
nil
cons
cons
4683
remove
cons
nil
cons
cons
334
ref
subst
nil
3616
remove
153
ref
5107
ref
nil
cons
cons
nil
cons
cons
nil
cons
cons
5204
def
167
ref
subst
5205
def
5204
remove
334
ref
subst
5206
def
nil
151
ref
3617
remove
cons
153
ref
5106
ref
nil
cons
5207
def
cons
nil
cons
cons
nil
cons
cons
5208
def
167
ref
subst
5209
def
5208
remove
334
ref
subst
5210
def
5188
ref
57
ref
appTerm
betaConv
sym
3663
remove
nil
3664
remove
111
ref
5187
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
194
ref
subst
proveHyp
3669
remove
nil
3670
remove
111
ref
5186
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
194
ref
subst
proveHyp
29
ref
47
ref
271
ref
699
ref
5105
ref
appTerm
absTerm
appTerm
absTerm
5211
def
547
ref
appTerm
betaConv
sym
271
ref
5106
ref
absTerm
5212
def
275
ref
appTerm
betaConv
sym
5106
ref
assume
5213
def
eqMp
256
ref
257
ref
5212
remove
nil
cons
cons
291
ref
cons
nil
cons
cons
724
ref
subst
proveHyp
eqMp
207
ref
208
ref
5211
ref
nil
cons
cons
595
ref
cons
nil
cons
cons
724
ref
subst
proveHyp
nil
110
ref
725
ref
5211
remove
appTerm
nil
cons
cons
111
ref
5173
remove
nil
cons
5214
def
cons
nil
cons
cons
nil
cons
cons
175
ref
subst
proveHyp
nil
26
ref
5170
ref
cons
nil
cons
nil
cons
cons
3662
remove
subst
eqMp
nil
110
ref
5214
remove
cons
111
ref
5185
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
194
ref
subst
proveHyp
nil
257
ref
5184
remove
nil
cons
cons
nil
cons
nil
cons
cons
662
ref
subst
66
ref
nil
139
ref
5183
remove
nil
cons
cons
nil
cons
nil
cons
cons
146
ref
subst
nil
262
ref
5182
remove
nil
cons
cons
nil
cons
nil
cons
cons
663
ref
subst
69
ref
nil
139
ref
5181
remove
nil
cons
cons
nil
cons
nil
cons
cons
146
ref
subst
nil
262
ref
5180
remove
nil
cons
cons
nil
cons
nil
cons
cons
663
ref
subst
70
ref
nil
139
ref
5179
remove
nil
cons
cons
nil
cons
nil
cons
cons
146
ref
subst
nil
262
ref
5178
remove
nil
cons
cons
nil
cons
nil
cons
cons
663
ref
subst
552
ref
nil
139
ref
5177
remove
nil
cons
cons
nil
cons
nil
cons
cons
146
ref
subst
nil
110
ref
5176
remove
nil
cons
5215
def
cons
2500
ref
cons
nil
cons
cons
5216
def
126
ref
subst
5216
remove
194
ref
subst
nil
3674
remove
153
ref
5175
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
5217
def
167
ref
subst
5217
remove
334
ref
subst
nil
151
ref
3675
remove
cons
153
ref
5174
ref
nil
cons
5218
def
cons
nil
cons
cons
nil
cons
cons
5219
def
167
ref
subst
5219
remove
334
ref
subst
66
ref
559
ref
absTerm
5220
def
3678
ref
appTerm
betaConv
sym
3832
remove
nil
3833
remove
111
ref
49
ref
3834
remove
appTerm
554
remove
3678
remove
appTerm
556
ref
appTerm
5221
def
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
194
ref
subst
proveHyp
3842
remove
nil
110
ref
3835
remove
cons
111
ref
5221
remove
nil
cons
cons
nil
cons
5222
def
cons
nil
cons
cons
194
ref
subst
proveHyp
48
ref
725
ref
26
ref
49
ref
5067
ref
41
ref
appTerm
appTerm
80
remove
556
ref
appTerm
appTerm
absTerm
5223
def
appTerm
absTerm
5224
def
57
ref
appTerm
betaConv
sym
5223
ref
5105
ref
appTerm
betaConv
sym
216
ref
nil
139
ref
5207
remove
cons
nil
cons
nil
cons
cons
146
ref
subst
5213
remove
eqMp
5225
def
appThm
nil
139
ref
5218
remove
cons
nil
cons
nil
cons
cons
146
ref
subst
5174
remove
assume
eqMp
appThm
528
ref
trans
sym
145
ref
eqMp
eqMp
207
ref
208
ref
5223
remove
nil
cons
cons
29
ref
5170
remove
cons
nil
cons
5226
def
cons
nil
cons
cons
724
ref
subst
proveHyp
eqMp
256
ref
257
ref
5224
ref
nil
cons
cons
293
ref
cons
nil
cons
cons
724
ref
subst
proveHyp
nil
110
ref
47
ref
5224
remove
appTerm
nil
cons
cons
5222
remove
cons
nil
cons
cons
175
ref
subst
proveHyp
nil
598
remove
595
ref
cons
nil
cons
cons
5227
def
3831
remove
subst
eqMp
eqMp
eqMp
eqMp
256
ref
257
ref
5220
ref
nil
cons
cons
5228
def
3844
remove
cons
nil
cons
cons
724
ref
subst
proveHyp
nil
110
ref
47
ref
5220
ref
appTerm
5229
def
nil
cons
5230
def
cons
5231
def
2500
ref
cons
nil
cons
cons
5232
def
175
ref
subst
5233
def
proveHyp
5232
ref
126
ref
subst
5232
remove
194
ref
subst
nil
4942
remove
2500
remove
cons
nil
cons
cons
5234
def
175
ref
subst
nil
5231
remove
111
ref
71
ref
570
remove
appTerm
562
ref
appTerm
5235
def
nil
cons
5236
def
cons
nil
cons
5237
def
cons
nil
cons
cons
175
ref
subst
nil
257
ref
66
ref
71
ref
5220
ref
74
ref
appTerm
5238
def
appTerm
5235
ref
appTerm
5239
def
absTerm
nil
cons
cons
nil
cons
nil
cons
cons
662
ref
subst
66
ref
nil
139
ref
5239
remove
nil
cons
cons
nil
cons
nil
cons
cons
146
ref
subst
nil
110
ref
5238
ref
nil
cons
5240
def
cons
5237
ref
cons
nil
cons
cons
5241
def
126
ref
subst
5241
remove
194
ref
subst
5238
ref
betaConv
5242
def
5238
remove
assume
eqMp
nil
4937
ref
5237
remove
cons
nil
cons
cons
5243
def
175
ref
subst
proveHyp
5243
ref
126
ref
subst
5243
remove
194
ref
subst
5234
ref
126
ref
subst
5234
remove
194
ref
subst
4943
remove
eqMp
nil
151
ref
4682
remove
cons
2527
ref
cons
nil
cons
cons
167
ref
subst
deductAntisym
eqMp
eqMp
nil
151
ref
4930
remove
cons
5244
def
153
ref
5236
remove
cons
nil
cons
5245
def
cons
nil
cons
cons
167
ref
subst
deductAntisym
eqMp
eqMp
eqMp
nil
151
ref
5240
remove
cons
5245
ref
cons
nil
cons
cons
167
ref
subst
deductAntisym
eqMp
eqMp
absThm
eqMp
nil
110
ref
65
ref
258
ref
71
ref
5220
remove
797
ref
appTerm
appTerm
5235
ref
appTerm
absTerm
appTerm
nil
cons
cons
111
ref
71
ref
5229
remove
appTerm
5235
remove
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
175
ref
subst
proveHyp
256
ref
5228
ref
5245
remove
cons
nil
cons
cons
811
ref
subst
eqMp
eqMp
eqMp
eqMp
nil
151
ref
5230
remove
cons
2527
ref
cons
nil
cons
cons
167
ref
subst
deductAntisym
eqMp
5246
def
eqMp
proveHyp
proveHyp
proveHyp
proveHyp
eqMp
nil
151
ref
5215
remove
cons
2527
remove
cons
nil
cons
cons
167
ref
subst
deductAntisym
eqMp
eqMp
absThm
eqMp
eqMp
absThm
eqMp
eqMp
absThm
eqMp
eqMp
absThm
eqMp
eqMp
eqMp
eqMp
eqMp
256
ref
257
ref
5188
remove
nil
cons
cons
293
ref
cons
nil
cons
cons
724
ref
subst
proveHyp
proveHyp
proveHyp
proveHyp
proveHyp
proveHyp
proveHyp
proveHyp
eqMp
nil
151
ref
5202
remove
cons
153
ref
5190
remove
cons
nil
cons
5247
def
cons
nil
cons
cons
167
ref
subst
deductAntisym
eqMp
eqMp
eqMp
nil
151
ref
5197
remove
cons
5247
ref
cons
nil
cons
cons
167
ref
subst
deductAntisym
eqMp
eqMp
absThm
eqMp
nil
110
ref
65
ref
258
ref
4696
ref
5189
ref
appTerm
absTerm
appTerm
nil
cons
cons
111
ref
4697
ref
5189
remove
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
175
ref
subst
proveHyp
256
ref
4698
ref
5247
ref
cons
nil
cons
cons
811
ref
subst
eqMp
eqMp
proveHyp
proveHyp
eqMp
nil
151
ref
5172
remove
cons
5247
remove
cons
nil
cons
cons
167
ref
subst
deductAntisym
eqMp
eqMp
5248
def
eqMp
absThm
eqMp
eqMp
absThm
eqMp
eqMp
absThm
eqMp
eqMp
absThm
eqMp
eqMp
absThm
eqMp
eqMp
absThm
eqMp
eqMp
absThm
eqMp
eqMp
absThm
eqMp
eqMp
absThm
eqMp
5249
def
nil
110
ref
588
ref
5151
ref
appTerm
5250
def
nil
cons
5251
def
cons
5252
def
111
ref
588
ref
5132
ref
appTerm
nil
cons
5253
def
cons
nil
cons
cons
nil
cons
cons
5254
def
175
ref
subst
proveHyp
5254
ref
126
ref
subst
5254
remove
194
ref
subst
nil
592
ref
5132
remove
nil
cons
cons
5255
def
nil
cons
nil
cons
cons
2815
ref
subst
539
ref
nil
139
ref
5131
remove
nil
cons
5256
def
cons
nil
cons
nil
cons
cons
146
ref
subst
nil
208
ref
5129
remove
nil
cons
cons
5257
def
nil
cons
nil
cons
cons
643
ref
subst
3515
ref
nil
139
ref
5128
remove
nil
cons
5258
def
cons
nil
cons
nil
cons
cons
146
ref
subst
nil
208
ref
5126
remove
nil
cons
cons
5259
def
nil
cons
nil
cons
cons
643
ref
subst
3513
ref
nil
139
ref
5125
remove
nil
cons
5260
def
cons
nil
cons
nil
cons
cons
146
ref
subst
nil
208
ref
5123
remove
nil
cons
cons
5261
def
nil
cons
nil
cons
cons
643
ref
subst
5102
ref
nil
139
ref
5122
remove
nil
cons
cons
nil
cons
nil
cons
cons
146
ref
subst
nil
110
ref
5119
remove
nil
cons
5262
def
cons
5263
def
111
ref
5121
ref
nil
cons
5264
def
cons
nil
cons
5265
def
cons
nil
cons
cons
5266
def
126
ref
subst
5266
remove
194
ref
subst
nil
5252
ref
5265
ref
cons
nil
cons
cons
5267
def
175
ref
subst
nil
5263
remove
111
ref
71
ref
5250
ref
appTerm
5121
remove
appTerm
5268
def
nil
cons
5269
def
cons
nil
cons
5270
def
cons
nil
cons
cons
175
ref
subst
nil
208
ref
29
ref
71
ref
5118
ref
39
ref
appTerm
5271
def
appTerm
5268
ref
appTerm
5272
def
absTerm
5273
def
nil
cons
cons
nil
cons
nil
cons
cons
643
ref
subst
29
ref
nil
139
ref
5272
remove
nil
cons
cons
nil
cons
nil
cons
cons
146
ref
subst
nil
110
ref
5271
ref
nil
cons
5274
def
cons
5270
ref
cons
nil
cons
cons
5275
def
126
ref
subst
5275
remove
194
ref
subst
5271
ref
betaConv
5271
remove
assume
eqMp
nil
110
ref
5117
ref
nil
cons
cons
5270
ref
cons
nil
cons
cons
175
ref
subst
proveHyp
nil
208
ref
26
ref
71
ref
5116
ref
41
ref
appTerm
5276
def
appTerm
5268
ref
appTerm
5277
def
absTerm
nil
cons
cons
nil
cons
nil
cons
cons
643
ref
subst
26
ref
nil
139
ref
5277
remove
nil
cons
cons
nil
cons
nil
cons
cons
146
ref
subst
nil
110
ref
5276
ref
nil
cons
5278
def
cons
5270
ref
cons
nil
cons
cons
5279
def
126
ref
subst
5279
remove
194
ref
subst
5276
ref
betaConv
5276
remove
assume
eqMp
nil
110
ref
5115
ref
nil
cons
cons
5270
ref
cons
nil
cons
cons
175
ref
subst
proveHyp
nil
208
ref
542
ref
71
ref
5114
ref
547
ref
appTerm
5280
def
appTerm
5268
ref
appTerm
5281
def
absTerm
nil
cons
cons
nil
cons
nil
cons
cons
643
ref
subst
542
ref
nil
139
ref
5281
remove
nil
cons
cons
nil
cons
nil
cons
cons
146
ref
subst
nil
110
ref
5280
ref
nil
cons
5282
def
cons
5270
ref
cons
nil
cons
cons
5283
def
126
ref
subst
5283
remove
194
ref
subst
5280
ref
betaConv
5280
remove
assume
eqMp
nil
110
ref
5113
ref
nil
cons
cons
5270
ref
cons
nil
cons
cons
175
ref
subst
proveHyp
nil
257
ref
271
ref
71
ref
5112
ref
275
ref
appTerm
5284
def
appTerm
5268
ref
appTerm
5285
def
absTerm
nil
cons
cons
nil
cons
nil
cons
cons
662
ref
subst
271
ref
nil
139
ref
5285
remove
nil
cons
cons
nil
cons
nil
cons
cons
146
ref
subst
nil
110
ref
5284
ref
nil
cons
5286
def
cons
5270
ref
cons
nil
cons
cons
5287
def
126
ref
subst
5287
remove
194
ref
subst
5284
ref
betaConv
5284
remove
assume
eqMp
nil
110
ref
5111
ref
nil
cons
cons
5270
ref
cons
nil
cons
cons
175
ref
subst
proveHyp
nil
257
ref
48
ref
71
ref
5110
ref
57
ref
appTerm
5288
def
appTerm
5268
ref
appTerm
5289
def
absTerm
nil
cons
cons
nil
cons
nil
cons
cons
662
ref
subst
48
ref
nil
139
ref
5289
remove
nil
cons
cons
nil
cons
nil
cons
cons
146
ref
subst
nil
110
ref
5288
ref
nil
cons
5290
def
cons
5270
ref
cons
nil
cons
cons
5291
def
126
ref
subst
5291
remove
194
ref
subst
5288
ref
betaConv
5288
remove
assume
eqMp
nil
110
ref
5109
remove
nil
cons
5292
def
cons
5293
def
5270
remove
cons
nil
cons
cons
5294
def
175
ref
subst
proveHyp
5294
ref
126
ref
subst
5294
remove
194
ref
subst
5267
ref
126
ref
subst
5267
remove
194
ref
subst
nil
5293
remove
5265
remove
cons
nil
cons
cons
175
ref
subst
5135
remove
5105
ref
appTerm
5295
def
betaConv
5137
remove
3521
ref
appTerm
5296
def
betaConv
5139
remove
3518
ref
appTerm
5297
def
betaConv
5141
remove
57
ref
appTerm
5298
def
betaConv
5143
remove
275
ref
appTerm
5299
def
betaConv
5145
remove
547
ref
appTerm
5300
def
betaConv
5147
remove
41
ref
appTerm
5301
def
betaConv
5149
remove
39
ref
appTerm
5302
def
betaConv
5151
remove
544
ref
appTerm
5303
def
betaConv
nil
5252
remove
111
ref
5303
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
175
ref
subst
591
ref
5152
remove
593
ref
cons
nil
cons
cons
205
ref
subst
eqMp
eqMp
nil
110
ref
5153
remove
cons
111
ref
5302
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
175
ref
subst
proveHyp
207
ref
5154
remove
210
ref
cons
nil
cons
cons
205
ref
subst
eqMp
eqMp
nil
110
ref
5155
remove
cons
111
ref
5301
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
175
ref
subst
proveHyp
207
ref
5156
remove
213
ref
cons
nil
cons
cons
205
ref
subst
eqMp
eqMp
nil
110
ref
5157
remove
cons
111
ref
5300
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
175
ref
subst
proveHyp
207
ref
5158
remove
595
ref
cons
nil
cons
cons
205
ref
subst
eqMp
eqMp
nil
110
ref
5159
remove
cons
111
ref
5299
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
175
ref
subst
proveHyp
256
ref
5160
remove
291
ref
cons
nil
cons
cons
205
ref
subst
eqMp
eqMp
nil
110
ref
5161
remove
cons
111
ref
5298
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
175
ref
subst
proveHyp
256
ref
5162
remove
293
ref
cons
nil
cons
cons
205
ref
subst
eqMp
eqMp
nil
110
ref
5163
remove
cons
111
ref
5297
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
175
ref
subst
proveHyp
207
ref
5164
remove
3576
ref
cons
nil
cons
cons
205
ref
subst
eqMp
eqMp
nil
110
ref
5165
remove
cons
111
ref
5296
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
175
ref
subst
proveHyp
207
ref
5166
remove
3840
ref
cons
nil
cons
cons
205
ref
subst
eqMp
eqMp
nil
110
ref
5167
remove
cons
111
ref
5295
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
175
ref
subst
proveHyp
207
ref
5168
remove
5226
ref
cons
nil
cons
cons
205
ref
subst
eqMp
eqMp
eqMp
eqMp
nil
151
ref
5251
remove
cons
5304
def
153
ref
5264
remove
cons
nil
cons
5305
def
cons
nil
cons
cons
167
ref
subst
deductAntisym
eqMp
eqMp
nil
151
ref
5292
remove
cons
153
ref
5269
remove
cons
nil
cons
5306
def
cons
nil
cons
cons
167
ref
subst
deductAntisym
eqMp
eqMp
eqMp
nil
151
ref
5290
remove
cons
5306
ref
cons
nil
cons
cons
167
ref
subst
deductAntisym
eqMp
eqMp
absThm
eqMp
nil
110
ref
65
ref
258
ref
71
ref
5110
ref
797
ref
appTerm
appTerm
5268
ref
appTerm
absTerm
appTerm
nil
cons
cons
111
ref
71
ref
5111
remove
appTerm
5268
ref
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
175
ref
subst
proveHyp
256
ref
257
ref
5110
remove
nil
cons
cons
5306
ref
cons
nil
cons
cons
811
ref
subst
eqMp
eqMp
eqMp
nil
151
ref
5286
remove
cons
5306
ref
cons
nil
cons
cons
167
ref
subst
deductAntisym
eqMp
eqMp
absThm
eqMp
nil
110
ref
65
ref
258
ref
71
ref
5112
ref
797
ref
appTerm
appTerm
5268
ref
appTerm
absTerm
appTerm
nil
cons
cons
111
ref
71
ref
5113
remove
appTerm
5268
ref
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
175
ref
subst
proveHyp
256
ref
257
ref
5112
remove
nil
cons
cons
5306
ref
cons
nil
cons
cons
811
ref
subst
eqMp
eqMp
eqMp
nil
151
ref
5282
remove
cons
5306
ref
cons
nil
cons
cons
167
ref
subst
deductAntisym
eqMp
eqMp
absThm
eqMp
nil
110
ref
99
ref
1892
ref
71
ref
5114
ref
1893
ref
appTerm
appTerm
5268
ref
appTerm
absTerm
appTerm
nil
cons
cons
111
ref
71
ref
5115
remove
appTerm
5268
ref
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
175
ref
subst
proveHyp
207
ref
208
ref
5114
remove
nil
cons
cons
5306
ref
cons
nil
cons
cons
811
ref
subst
eqMp
eqMp
eqMp
nil
151
ref
5278
remove
cons
5306
ref
cons
nil
cons
cons
167
ref
subst
deductAntisym
eqMp
eqMp
absThm
eqMp
nil
110
ref
99
ref
1892
ref
71
ref
5116
ref
1893
ref
appTerm
appTerm
5268
ref
appTerm
absTerm
appTerm
nil
cons
cons
111
ref
71
ref
5117
remove
appTerm
5268
ref
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
175
ref
subst
proveHyp
207
ref
208
ref
5116
remove
nil
cons
cons
5306
ref
cons
nil
cons
cons
811
ref
subst
eqMp
eqMp
eqMp
nil
151
ref
5274
remove
cons
5306
ref
cons
nil
cons
cons
167
ref
subst
deductAntisym
eqMp
eqMp
absThm
eqMp
nil
110
ref
99
ref
5273
remove
appTerm
nil
cons
cons
111
ref
5120
remove
5268
remove
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
175
ref
subst
proveHyp
207
ref
208
ref
5118
remove
nil
cons
cons
5306
remove
cons
nil
cons
cons
811
ref
subst
eqMp
eqMp
eqMp
eqMp
nil
151
ref
5262
remove
cons
5305
remove
cons
nil
cons
cons
167
ref
subst
deductAntisym
eqMp
eqMp
absThm
eqMp
eqMp
absThm
eqMp
eqMp
absThm
eqMp
eqMp
absThm
eqMp
eqMp
nil
5304
remove
153
ref
5253
ref
cons
nil
cons
cons
nil
cons
cons
167
ref
subst
deductAntisym
eqMp
eqMp
nil
110
ref
5253
remove
cons
111
ref
5133
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
175
ref
subst
proveHyp
591
ref
5255
remove
593
ref
cons
nil
cons
cons
205
ref
subst
eqMp
eqMp
nil
110
ref
5256
remove
cons
111
ref
5130
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
175
ref
subst
proveHyp
207
ref
5257
remove
3576
ref
cons
nil
cons
cons
205
ref
subst
eqMp
eqMp
nil
110
ref
5258
remove
cons
111
ref
5127
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
175
ref
subst
proveHyp
207
ref
5259
remove
3840
ref
cons
nil
cons
cons
205
ref
subst
eqMp
eqMp
nil
110
ref
5260
remove
cons
111
ref
5124
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
175
ref
subst
proveHyp
207
ref
5261
remove
5226
ref
cons
nil
cons
cons
205
ref
subst
eqMp
eqMp
subst
eqMp
proveHyp
proveHyp
proveHyp
proveHyp
eqMp
nil
151
ref
5057
ref
cons
153
ref
2430
remove
cons
nil
cons
5307
def
cons
nil
cons
cons
167
ref
subst
deductAntisym
eqMp
eqMp
eqMp
eqMp
nil
3916
ref
153
ref
5039
ref
cons
nil
cons
5308
def
cons
nil
cons
cons
167
ref
subst
deductAntisym
eqMp
eqMp
eqMp
nil
3918
ref
5308
ref
cons
nil
cons
cons
167
ref
subst
deductAntisym
eqMp
eqMp
absThm
eqMp
nil
110
ref
65
ref
258
ref
3919
ref
5038
ref
appTerm
absTerm
appTerm
nil
cons
cons
111
ref
3920
ref
5038
remove
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
175
ref
subst
proveHyp
256
ref
3921
ref
5308
ref
cons
nil
cons
cons
811
ref
subst
eqMp
nil
3923
ref
5040
remove
cons
nil
cons
cons
5309
def
126
ref
subst
5309
remove
194
ref
subst
5049
remove
"_32032"
44
ref
var
5310
def
71
ref
49
ref
3393
ref
5310
remove
varTerm
5311
def
appTerm
appTerm
49
ref
3395
ref
5311
ref
appTerm
appTerm
5028
ref
5311
remove
appTerm
appTerm
appTerm
appTerm
2429
ref
appTerm
absTerm
220
ref
appTerm
betaConv
appThm
5050
remove
71
ref
3927
remove
49
ref
3928
remove
appTerm
5028
ref
220
ref
appTerm
appTerm
appTerm
5312
def
appTerm
2429
ref
appTerm
refl
appThm
trans
5052
remove
3929
ref
appThm
eqMp
sym
226
ref
3930
remove
216
ref
3931
remove
appThm
5026
remove
350
ref
subst
appThm
375
ref
trans
appThm
375
ref
trans
5313
def
appThm
5032
ref
appThm
2539
remove
381
ref
subst
trans
sym
145
ref
eqMp
eqMp
eqMp
nil
3933
ref
5308
ref
cons
nil
cons
cons
167
ref
subst
deductAntisym
eqMp
nil
3933
ref
3934
ref
1335
ref
5039
remove
cons
nil
cons
cons
cons
nil
cons
cons
1350
ref
subst
proveHyp
proveHyp
eqMp
nil
3935
ref
5308
remove
cons
nil
cons
cons
167
ref
subst
deductAntisym
eqMp
eqMp
eqMp
eqMp
nil
151
ref
5035
remove
cons
5307
ref
cons
nil
cons
cons
167
ref
subst
deductAntisym
eqMp
eqMp
absThm
eqMp
nil
110
ref
65
ref
258
ref
71
ref
5030
ref
797
ref
appTerm
appTerm
2429
ref
appTerm
absTerm
appTerm
nil
cons
cons
111
ref
71
ref
5031
remove
appTerm
2429
ref
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
175
ref
subst
proveHyp
256
ref
257
ref
5030
remove
nil
cons
cons
5307
ref
cons
nil
cons
cons
811
ref
subst
eqMp
eqMp
eqMp
eqMp
eqMp
nil
151
ref
2542
remove
cons
153
ref
4844
ref
cons
nil
cons
cons
nil
cons
cons
167
ref
subst
deductAntisym
eqMp
nil
110
ref
5019
ref
4843
ref
appTerm
nil
cons
cons
111
ref
71
ref
4843
ref
appTerm
2541
ref
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
194
ref
subst
proveHyp
226
ref
216
ref
nil
2460
remove
2440
remove
2459
remove
nil
cons
cons
cons
nil
cons
cons
1001
ref
36
ref
2465
ref
appTerm
545
ref
243
ref
appTerm
1151
ref
appTerm
1963
ref
appTerm
5314
def
appTerm
5315
def
absTerm
5316
def
1002
ref
appTerm
5317
def
betaConv
263
ref
68
ref
5316
ref
appTerm
5318
def
absTerm
5319
def
627
ref
appTerm
5320
def
betaConv
227
ref
68
ref
5319
ref
appTerm
5321
def
absTerm
5322
def
233
ref
appTerm
5323
def
betaConv
539
ref
68
ref
5322
ref
appTerm
5324
def
absTerm
5325
def
544
remove
appTerm
5326
def
betaConv
1958
remove
539
ref
225
ref
227
ref
225
ref
263
ref
225
ref
1001
ref
5315
remove
assume
sym
36
ref
5314
remove
appTerm
2465
remove
appTerm
5327
def
assume
sym
deductAntisym
absThm
appThm
absThm
appThm
absThm
appThm
absThm
appThm
nil
592
ref
539
ref
68
ref
227
ref
68
ref
263
ref
68
ref
1001
ref
5327
ref
absTerm
5328
def
appTerm
5329
def
absTerm
5330
def
appTerm
5331
def
absTerm
5332
def
appTerm
5333
def
absTerm
5334
def
nil
cons
cons
nil
cons
nil
cons
cons
2815
ref
subst
539
ref
nil
139
ref
5333
remove
nil
cons
cons
nil
cons
nil
cons
cons
146
ref
subst
nil
262
ref
5332
remove
nil
cons
cons
nil
cons
nil
cons
cons
663
ref
subst
227
ref
nil
139
ref
5331
remove
nil
cons
cons
nil
cons
nil
cons
cons
146
ref
subst
nil
262
ref
5330
remove
nil
cons
cons
nil
cons
nil
cons
cons
663
ref
subst
263
ref
nil
139
ref
5329
remove
nil
cons
cons
nil
cons
nil
cons
cons
146
ref
subst
nil
262
ref
5328
remove
nil
cons
cons
nil
cons
nil
cons
cons
663
ref
subst
1001
ref
nil
139
ref
5327
remove
nil
cons
cons
nil
cons
nil
cons
cons
146
ref
subst
2537
ref
eqMp
absThm
eqMp
eqMp
absThm
eqMp
eqMp
absThm
eqMp
eqMp
absThm
eqMp
5335
def
eqMp
nil
110
ref
588
ref
5325
ref
appTerm
nil
cons
cons
111
ref
5326
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
175
ref
subst
proveHyp
591
remove
592
ref
5325
remove
nil
cons
cons
593
remove
cons
nil
cons
cons
205
ref
subst
eqMp
eqMp
nil
110
ref
5324
remove
nil
cons
cons
111
ref
5323
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
175
ref
subst
proveHyp
261
ref
262
ref
5322
remove
nil
cons
cons
265
ref
cons
nil
cons
cons
205
ref
subst
eqMp
eqMp
nil
110
ref
5321
remove
nil
cons
cons
111
ref
5320
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
175
ref
subst
proveHyp
261
ref
262
ref
5319
remove
nil
cons
cons
3024
ref
cons
nil
cons
cons
205
ref
subst
eqMp
eqMp
nil
110
ref
5318
remove
nil
cons
cons
111
ref
5317
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
175
ref
subst
proveHyp
261
ref
262
ref
5316
remove
nil
cons
cons
2495
ref
cons
nil
cons
cons
205
ref
subst
eqMp
eqMp
subst
appThm
5032
remove
appThm
appThm
2541
ref
refl
5336
def
appThm
sym
2743
remove
eqMp
eqMp
eqMp
5337
def
subst
trans
appThm
216
ref
1000
ref
refl
227
ref
997
ref
26
ref
216
ref
nil
1443
remove
1322
remove
1444
ref
2402
remove
cons
676
ref
2436
remove
cons
nil
cons
cons
cons
cons
nil
cons
cons
1442
ref
36
ref
278
ref
1078
ref
687
remove
appTerm
1449
ref
appTerm
appTerm
1078
ref
689
remove
appTerm
1457
ref
appTerm
appTerm
appTerm
49
ref
678
remove
appTerm
278
ref
1449
ref
appTerm
1457
ref
appTerm
appTerm
appTerm
absTerm
5338
def
1457
ref
appTerm
5339
def
betaConv
1444
ref
99
ref
5338
ref
appTerm
5340
def
absTerm
5341
def
1449
ref
appTerm
5342
def
betaConv
671
remove
99
ref
5341
ref
appTerm
5343
def
absTerm
5344
def
672
remove
appTerm
5345
def
betaConv
676
remove
68
ref
5344
ref
appTerm
5346
def
absTerm
5347
def
677
remove
appTerm
5348
def
betaConv
nil
68
ref
5347
ref
appTerm
5349
def
axiom
nil
110
ref
5349
remove
nil
cons
cons
111
ref
5348
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
175
ref
subst
proveHyp
261
ref
262
ref
5347
remove
nil
cons
cons
818
remove
cons
nil
cons
cons
205
ref
subst
eqMp
eqMp
nil
110
ref
5346
remove
nil
cons
cons
111
ref
5345
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
175
ref
subst
proveHyp
261
ref
262
ref
5344
remove
nil
cons
cons
819
remove
cons
nil
cons
cons
205
ref
subst
eqMp
eqMp
nil
110
ref
5343
remove
nil
cons
cons
111
ref
5342
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
175
ref
subst
proveHyp
207
ref
208
ref
5341
remove
nil
cons
cons
1452
remove
cons
nil
cons
cons
205
ref
subst
eqMp
eqMp
nil
110
ref
5340
remove
nil
cons
cons
111
ref
5339
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
175
ref
subst
proveHyp
207
ref
208
ref
5338
remove
nil
cons
cons
1460
remove
cons
nil
cons
cons
205
ref
subst
eqMp
eqMp
subst
appThm
4033
remove
appThm
absThm
appThm
absThm
appThm
appThm
4743
remove
3945
ref
subst
216
ref
4634
remove
2292
ref
appTerm
betaConv
2344
ref
refl
5350
def
appThm
1001
ref
2432
remove
4542
ref
appTerm
5351
def
1002
ref
appTerm
absTerm
2344
ref
appTerm
betaConv
trans
appThm
4635
remove
2314
ref
appTerm
5352
def
2361
ref
appTerm
5353
def
refl
5354
def
appThm
trans
appThm
appThm
sym
26
ref
2394
remove
36
ref
2395
remove
4524
ref
appTerm
5355
def
41
ref
appTerm
appTerm
2393
ref
5352
remove
41
ref
appTerm
appTerm
appTerm
appTerm
absTerm
5356
def
2361
ref
appTerm
5357
def
betaConv
4759
ref
2314
ref
appTerm
5358
def
betaConv
nil
4796
ref
111
ref
5358
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
175
ref
subst
207
ref
208
ref
4759
remove
nil
cons
cons
5359
def
2404
ref
cons
nil
cons
cons
205
ref
subst
eqMp
eqMp
nil
110
ref
99
ref
5356
ref
appTerm
nil
cons
cons
111
ref
5357
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
175
ref
subst
proveHyp
207
ref
208
ref
5356
remove
nil
cons
cons
2407
ref
cons
nil
cons
cons
205
ref
subst
eqMp
eqMp
nil
110
ref
2409
remove
36
ref
5355
remove
2361
ref
appTerm
5360
def
appTerm
5361
def
2393
ref
5353
ref
appTerm
appTerm
appTerm
nil
cons
cons
111
ref
36
ref
49
ref
5351
remove
2344
ref
appTerm
appTerm
5362
def
5360
ref
appTerm
appTerm
49
ref
1000
ref
227
ref
725
ref
26
ref
49
ref
49
ref
467
remove
2292
ref
appTerm
5363
def
233
ref
appTerm
appTerm
278
ref
2314
ref
appTerm
41
ref
appTerm
5364
def
appTerm
appTerm
62
ref
appTerm
absTerm
appTerm
absTerm
5365
def
appTerm
5366
def
appTerm
5362
ref
5353
ref
appTerm
5367
def
appTerm
5368
def
appTerm
5369
def
nil
cons
5370
def
cons
nil
cons
5371
def
cons
nil
cons
cons
175
ref
subst
proveHyp
226
ref
2422
remove
5361
ref
refl
2418
ref
5354
remove
appThm
nil
139
ref
5353
ref
nil
cons
cons
nil
cons
nil
cons
cons
527
ref
subst
trans
appThm
appThm
nil
139
ref
5361
remove
5353
ref
appTerm
5372
def
nil
cons
5373
def
cons
nil
cons
nil
cons
cons
840
ref
subst
trans
appThm
5369
remove
refl
appThm
sym
nil
110
ref
5373
ref
cons
5371
remove
cons
nil
cons
cons
5374
def
126
ref
subst
5374
remove
194
ref
subst
36
ref
"_32132"
3
ref
var
5375
def
36
ref
5362
remove
5375
remove
varTerm
appTerm
appTerm
5368
ref
appTerm
absTerm
5376
def
5360
remove
appTerm
5377
def
appTerm
refl
5376
ref
5353
remove
appTerm
betaConv
appThm
155
ref
5377
remove
betaConv
appThm
36
ref
5367
ref
appTerm
5368
remove
appTerm
5378
def
refl
appThm
trans
5376
remove
refl
5372
remove
assume
appThm
eqMp
sym
5365
ref
2292
ref
appTerm
betaConv
sym
26
ref
49
ref
49
ref
5363
remove
2292
ref
appTerm
appTerm
5364
remove
appTerm
appTerm
62
ref
appTerm
absTerm
5379
def
2314
ref
appTerm
betaConv
sym
216
ref
216
ref
3237
remove
appThm
3501
remove
appThm
528
ref
trans
appThm
2417
remove
appThm
528
ref
trans
sym
145
ref
eqMp
eqMp
207
ref
208
ref
5379
remove
nil
cons
cons
2404
ref
cons
nil
cons
cons
724
ref
subst
proveHyp
eqMp
261
ref
262
ref
5365
remove
nil
cons
cons
2438
ref
cons
nil
cons
cons
724
ref
subst
proveHyp
nil
110
ref
5366
remove
nil
cons
5380
def
cons
111
ref
5378
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
175
ref
subst
proveHyp
nil
"y"
3
ref
var
5381
def
5380
remove
cons
347
ref
5367
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
nil
110
ref
36
ref
5381
ref
varTerm
5382
def
appTerm
5383
def
315
ref
appTerm
5384
def
nil
cons
5385
def
cons
111
ref
71
ref
5382
ref
appTerm
36
ref
347
ref
varTerm
5386
def
appTerm
5387
def
49
ref
5382
ref
appTerm
5386
ref
appTerm
appTerm
appTerm
5388
def
nil
cons
5389
def
cons
nil
cons
5390
def
cons
nil
cons
cons
5391
def
126
ref
subst
5391
remove
194
ref
subst
36
ref
"_32120"
3
ref
var
5392
def
71
ref
5392
remove
varTerm
5393
def
appTerm
5387
ref
49
ref
5393
remove
appTerm
5386
ref
appTerm
appTerm
appTerm
absTerm
5394
def
5382
ref
appTerm
5395
def
appTerm
refl
5396
def
5394
remove
315
ref
appTerm
betaConv
appThm
155
ref
5395
remove
betaConv
appThm
5397
def
338
remove
5387
ref
354
remove
5386
ref
appTerm
appTerm
5398
def
appTerm
refl
appThm
trans
5381
remove
5388
remove
absTerm
refl
5399
def
5384
remove
assume
appThm
eqMp
sym
nil
139
ref
5398
remove
nil
cons
cons
nil
cons
nil
cons
cons
381
ref
subst
sym
145
ref
eqMp
eqMp
eqMp
nil
151
ref
5385
ref
cons
153
ref
5389
ref
cons
nil
cons
5400
def
cons
nil
cons
cons
167
ref
subst
deductAntisym
eqMp
nil
110
ref
5383
remove
131
ref
appTerm
5401
def
nil
cons
5402
def
cons
5390
remove
cons
nil
cons
cons
5403
def
126
ref
subst
5403
remove
194
ref
subst
5396
remove
"_32118"
3
ref
var
5404
def
71
ref
5404
remove
varTerm
5405
def
appTerm
5387
ref
49
ref
5405
remove
appTerm
5386
ref
appTerm
appTerm
appTerm
absTerm
131
ref
appTerm
betaConv
appThm
5397
remove
836
remove
5387
ref
523
remove
5386
ref
appTerm
appTerm
5406
def
appTerm
refl
appThm
trans
5399
remove
5401
remove
assume
appThm
eqMp
sym
nil
139
ref
5406
remove
nil
cons
cons
nil
cons
nil
cons
cons
840
ref
subst
5387
remove
refl
nil
139
ref
5386
remove
nil
cons
cons
nil
cons
nil
cons
cons
527
ref
subst
appThm
1333
remove
trans
trans
sym
145
ref
eqMp
eqMp
eqMp
nil
151
ref
5402
remove
cons
5407
def
5400
remove
cons
nil
cons
cons
167
ref
subst
deductAntisym
eqMp
139
ref
1185
remove
144
remove
appTerm
143
remove
315
ref
appTerm
appTerm
absTerm
5408
def
5382
ref
appTerm
5409
def
betaConv
nil
343
ref
5408
ref
appTerm
5410
def
axiom
nil
110
ref
5410
remove
nil
cons
cons
111
ref
5409
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
175
ref
subst
proveHyp
345
ref
346
ref
5408
remove
nil
cons
cons
347
ref
5382
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
205
ref
subst
eqMp
eqMp
nil
5407
remove
153
ref
5385
remove
cons
1335
ref
5389
remove
cons
nil
cons
cons
cons
nil
cons
cons
1350
ref
subst
proveHyp
proveHyp
proveHyp
subst
eqMp
eqMp
eqMp
nil
151
ref
5373
remove
cons
153
ref
5370
remove
cons
nil
cons
cons
nil
cons
cons
167
ref
subst
deductAntisym
eqMp
eqMp
eqMp
eqMp
eqMp
eqMp
proveHyp
proveHyp
eqMp
nil
2747
ref
153
ref
4817
remove
cons
nil
cons
5411
def
cons
nil
cons
cons
167
ref
subst
deductAntisym
eqMp
eqMp
eqMp
nil
2749
ref
5411
ref
cons
nil
cons
cons
167
ref
subst
deductAntisym
eqMp
eqMp
absThm
eqMp
nil
110
ref
99
ref
29
ref
2750
ref
4814
ref
appTerm
absTerm
appTerm
nil
cons
cons
111
ref
2751
ref
4814
ref
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
175
ref
subst
proveHyp
207
ref
2752
ref
5411
ref
cons
nil
cons
cons
811
ref
subst
eqMp
eqMp
eqMp
nil
2753
ref
5411
ref
cons
nil
cons
cons
167
ref
subst
deductAntisym
eqMp
eqMp
absThm
eqMp
nil
110
ref
68
ref
263
ref
2754
ref
4814
remove
appTerm
absTerm
appTerm
nil
cons
cons
111
ref
4815
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
175
ref
subst
proveHyp
261
ref
2755
ref
5411
remove
cons
nil
cons
cons
811
ref
subst
eqMp
eqMp
proveHyp
proveHyp
eqMp
nil
2756
ref
153
ref
4801
remove
cons
nil
cons
5412
def
cons
nil
cons
cons
167
ref
subst
deductAntisym
eqMp
eqMp
eqMp
nil
2758
ref
5412
ref
cons
nil
cons
cons
167
ref
subst
deductAntisym
eqMp
eqMp
absThm
eqMp
nil
110
ref
99
ref
1892
ref
2759
ref
4799
ref
appTerm
absTerm
appTerm
nil
cons
cons
111
ref
2760
ref
4799
ref
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
175
ref
subst
proveHyp
207
ref
2761
ref
5412
ref
cons
nil
cons
cons
811
ref
subst
eqMp
eqMp
eqMp
nil
2762
ref
5412
ref
cons
nil
cons
cons
167
ref
subst
deductAntisym
eqMp
eqMp
absThm
eqMp
nil
110
ref
68
ref
263
ref
1894
ref
4799
ref
appTerm
absTerm
appTerm
nil
cons
cons
111
ref
1895
ref
4799
remove
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
175
ref
subst
proveHyp
261
ref
1896
ref
5412
remove
cons
nil
cons
cons
811
ref
subst
eqMp
eqMp
eqMp
absThm
eqMp
eqMp
absThm
eqMp
eqMp
nil
151
ref
4795
remove
cons
153
ref
4797
remove
cons
nil
cons
cons
nil
cons
cons
167
ref
subst
deductAntisym
eqMp
eqMp
absThm
eqMp
eqMp
nil
110
ref
49
ref
4783
remove
appTerm
4794
remove
appTerm
nil
cons
cons
111
ref
65
ref
4762
ref
appTerm
nil
cons
5413
def
cons
nil
cons
cons
nil
cons
cons
175
ref
subst
proveHyp
226
ref
216
ref
4762
ref
220
ref
appTerm
betaConv
appThm
224
ref
48
ref
226
ref
4764
ref
appThm
4762
ref
309
ref
appTerm
betaConv
appThm
absThm
appThm
appThm
appThm
224
ref
48
ref
4764
remove
absThm
appThm
appThm
nil
1024
ref
4762
remove
nil
cons
5414
def
cons
nil
cons
nil
cons
cons
1904
ref
subst
eqMp
eqMp
nil
110
ref
5413
remove
cons
111
ref
4763
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
175
ref
subst
proveHyp
256
ref
257
ref
5414
remove
cons
293
ref
cons
nil
cons
cons
205
ref
subst
eqMp
eqMp
nil
4796
remove
111
ref
4760
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
175
ref
subst
proveHyp
207
ref
5359
remove
210
ref
cons
nil
cons
cons
205
ref
subst
eqMp
eqMp
nil
110
ref
4758
remove
nil
cons
cons
111
ref
4757
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
175
ref
subst
proveHyp
207
ref
208
ref
4756
remove
nil
cons
cons
213
ref
cons
nil
cons
cons
205
ref
subst
eqMp
eqMp
1881
ref
2189
remove
appTerm
5415
def
betaConv
1884
ref
nil
1885
ref
111
ref
5415
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
175
ref
subst
proveHyp
345
ref
1886
ref
347
ref
3116
ref
cons
nil
cons
cons
nil
cons
cons
205
ref
subst
eqMp
eqMp
nil
3969
remove
153
ref
4630
remove
cons
1335
ref
4639
ref
cons
nil
cons
cons
cons
nil
cons
cons
1350
ref
subst
proveHyp
proveHyp
proveHyp
5416
def
subst
trans
appThm
sym
nil
110
ref
308
ref
58
ref
appTerm
nil
cons
5417
def
cons
5418
def
111
ref
71
ref
59
ref
1005
ref
appTerm
appTerm
5419
def
59
ref
16
ref
263
ref
1001
ref
2778
remove
4542
ref
appTerm
1002
ref
appTerm
5420
def
absTerm
absTerm
5421
def
appTerm
39
ref
appTerm
41
ref
appTerm
5422
def
appTerm
appTerm
nil
cons
5423
def
cons
nil
cons
5424
def
cons
nil
cons
cons
5425
def
126
ref
subst
5425
remove
194
ref
subst
226
ref
216
ref
nil
5418
ref
111
ref
36
ref
58
ref
appTerm
315
ref
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
175
ref
subst
nil
3086
ref
nil
cons
nil
cons
cons
349
ref
subst
eqMp
appThm
5426
def
1005
ref
refl
5427
def
appThm
nil
139
ref
1005
ref
nil
cons
5428
def
cons
nil
cons
nil
cons
cons
5429
def
359
ref
subst
trans
appThm
5430
def
5426
ref
5422
ref
refl
5431
def
appThm
nil
139
ref
5422
ref
nil
cons
5432
def
cons
nil
cons
nil
cons
cons
5433
def
359
ref
subst
trans
appThm
374
remove
381
ref
subst
5434
def
trans
sym
145
ref
eqMp
eqMp
nil
151
ref
5417
ref
cons
5435
def
153
ref
5423
ref
cons
nil
cons
5436
def
cons
nil
cons
cons
167
ref
subst
deductAntisym
eqMp
nil
110
ref
3085
ref
cons
5437
def
5424
remove
cons
nil
cons
cons
5438
def
126
ref
subst
5438
remove
194
ref
subst
36
ref
"_32136"
44
ref
var
5439
def
71
ref
49
ref
56
ref
5439
remove
varTerm
appTerm
appTerm
5440
def
1005
ref
appTerm
appTerm
5440
remove
5422
ref
appTerm
appTerm
absTerm
5441
def
57
ref
appTerm
5442
def
appTerm
refl
5441
ref
55
ref
appTerm
betaConv
appThm
155
ref
5442
remove
betaConv
appThm
71
ref
49
ref
56
ref
55
ref
appTerm
5443
def
appTerm
5444
def
1005
ref
appTerm
appTerm
5445
def
5444
ref
5422
remove
appTerm
appTerm
refl
appThm
trans
5441
remove
refl
4044
ref
appThm
eqMp
sym
226
ref
660
ref
5427
remove
appThm
5429
ref
527
ref
subst
trans
appThm
5446
def
660
ref
5431
remove
appThm
5433
remove
527
ref
subst
trans
appThm
sym
nil
110
ref
5428
ref
cons
5447
def
111
ref
5432
ref
cons
nil
cons
5448
def
cons
nil
cons
cons
5449
def
126
ref
subst
5449
remove
194
ref
subst
22
ref
49
ref
68
ref
69
ref
68
ref
70
ref
71
ref
85
remove
appTerm
5450
def
5421
ref
76
ref
appTerm
5451
def
81
ref
appTerm
appTerm
absTerm
appTerm
absTerm
appTerm
appTerm
42
ref
appTerm
absTerm
5452
def
17
ref
appTerm
betaConv
sym
216
ref
225
ref
69
ref
225
ref
70
ref
71
ref
1004
ref
appTerm
refl
5453
def
5451
remove
betaConv
1730
ref
appThm
1001
ref
2780
remove
4542
ref
appTerm
1002
ref
appTerm
absTerm
81
ref
appTerm
betaConv
trans
appThm
nil
1001
ref
369
remove
cons
5454
def
824
ref
cons
nil
cons
cons
5455
def
nil
139
ref
2998
ref
5420
remove
appTerm
5456
def
nil
cons
cons
nil
cons
nil
cons
cons
146
ref
subst
1001
ref
5456
remove
absTerm
5457
def
1002
ref
appTerm
5458
def
betaConv
263
ref
68
ref
5457
ref
appTerm
5459
def
absTerm
5460
def
627
ref
appTerm
5461
def
betaConv
nil
68
ref
5460
ref
appTerm
5462
def
axiom
nil
110
ref
5462
remove
nil
cons
cons
111
ref
5461
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
175
ref
subst
proveHyp
261
ref
262
ref
5460
remove
nil
cons
cons
3024
ref
cons
nil
cons
cons
205
ref
subst
eqMp
eqMp
nil
110
ref
5459
remove
nil
cons
cons
111
ref
5458
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
175
ref
subst
proveHyp
261
ref
262
ref
5457
remove
nil
cons
cons
2495
ref
cons
nil
cons
cons
205
ref
subst
eqMp
eqMp
eqMp
subst
trans
absThm
appThm
390
ref
trans
absThm
appThm
390
ref
trans
appThm
5429
remove
146
ref
subst
1005
ref
assume
eqMp
5463
def
appThm
528
ref
trans
sym
145
ref
eqMp
eqMp
177
ref
178
ref
5452
ref
nil
cons
cons
179
ref
23
remove
cons
nil
cons
5464
def
cons
nil
cons
cons
724
ref
subst
proveHyp
nil
110
ref
43
ref
107
remove
constTerm
5465
def
5452
remove
appTerm
nil
cons
cons
5448
remove
cons
nil
cons
cons
175
ref
subst
proveHyp
nil
"s"
14
remove
var
5466
def
5421
remove
nil
cons
cons
nil
cons
nil
cons
cons
26
ref
71
ref
5465
ref
22
ref
49
ref
68
ref
69
ref
68
ref
70
ref
5450
ref
5466
ref
varTerm
5467
def
76
ref
appTerm
81
ref
appTerm
5468
def
appTerm
absTerm
5469
def
appTerm
5470
def
absTerm
5471
def
appTerm
5472
def
appTerm
5473
def
42
ref
appTerm
5474
def
absTerm
5475
def
appTerm
5476
def
appTerm
5477
def
16
ref
5467
ref
appTerm
5478
def
39
ref
appTerm
5479
def
41
ref
appTerm
5480
def
appTerm
5481
def
absTerm
5482
def
41
ref
appTerm
5483
def
betaConv
29
ref
99
ref
5482
ref
appTerm
5484
def
absTerm
5485
def
39
ref
appTerm
5486
def
betaConv
5466
ref
99
ref
5485
ref
appTerm
5487
def
absTerm
5488
def
5467
ref
appTerm
5489
def
betaConv
nil
178
ref
22
ref
108
ref
5466
ref
99
ref
29
ref
99
ref
26
ref
71
ref
5474
ref
appTerm
5480
ref
appTerm
5490
def
absTerm
5491
def
appTerm
5492
def
absTerm
5493
def
appTerm
5494
def
absTerm
5495
def
appTerm
5496
def
absTerm
5497
def
nil
cons
cons
5498
def
nil
cons
nil
cons
cons
1982
ref
subst
22
ref
nil
139
ref
5496
remove
nil
cons
5499
def
cons
nil
cons
nil
cons
cons
146
ref
subst
nil
178
ref
5495
ref
nil
cons
cons
5500
def
nil
cons
nil
cons
cons
1982
ref
subst
5466
ref
nil
139
ref
5494
remove
nil
cons
5501
def
cons
nil
cons
nil
cons
cons
146
ref
subst
nil
208
ref
5493
ref
nil
cons
cons
5502
def
nil
cons
nil
cons
cons
643
ref
subst
29
ref
nil
139
ref
5492
remove
nil
cons
5503
def
cons
nil
cons
nil
cons
cons
146
ref
subst
nil
208
ref
5491
ref
nil
cons
cons
5504
def
nil
cons
nil
cons
cons
643
ref
subst
26
ref
nil
139
ref
5490
remove
nil
cons
cons
nil
cons
nil
cons
cons
146
ref
subst
226
ref
5473
ref
refl
214
ref
appThm
appThm
nil
22
ref
5467
ref
nil
cons
5505
def
cons
nil
cons
5506
def
nil
cons
cons
214
remove
subst
appThm
sym
nil
110
ref
5473
remove
95
remove
appTerm
nil
cons
5507
def
cons
111
ref
47
ref
48
ref
59
ref
63
ref
65
ref
66
ref
68
ref
69
ref
68
ref
70
ref
84
remove
5468
ref
appTerm
5508
def
absTerm
5509
def
appTerm
5510
def
absTerm
5511
def
appTerm
5512
def
absTerm
5513
def
appTerm
5514
def
appTerm
appTerm
absTerm
5515
def
appTerm
5516
def
nil
cons
5517
def
cons
nil
cons
5518
def
cons
nil
cons
cons
5519
def
126
ref
subst
5519
remove
194
ref
subst
nil
151
ref
5472
remove
nil
cons
5520
def
cons
153
ref
3290
remove
cons
nil
cons
cons
nil
cons
cons
5521
def
167
ref
subst
5521
remove
334
ref
subst
nil
3294
remove
5518
ref
cons
nil
cons
cons
175
ref
subst
nil
257
ref
48
ref
3075
remove
5516
ref
appTerm
5522
def
absTerm
nil
cons
cons
nil
cons
nil
cons
cons
662
ref
subst
48
ref
nil
139
ref
5522
remove
nil
cons
cons
nil
cons
nil
cons
cons
146
ref
subst
nil
3078
remove
5518
ref
cons
nil
cons
cons
5523
def
126
ref
subst
5523
remove
194
ref
subst
3081
remove
nil
3083
remove
5518
remove
cons
nil
cons
cons
5524
def
175
ref
subst
proveHyp
5524
ref
126
ref
subst
5524
remove
194
ref
subst
3088
remove
3089
remove
3094
remove
3298
remove
5515
ref
57
ref
appTerm
betaConv
sym
3098
ref
4688
ref
5514
ref
refl
appThm
nil
139
ref
5514
remove
nil
cons
cons
nil
cons
nil
cons
cons
527
ref
subst
5525
def
trans
appThm
5525
remove
trans
sym
nil
257
ref
5513
remove
nil
cons
cons
nil
cons
nil
cons
cons
662
ref
subst
66
ref
nil
139
ref
5512
remove
nil
cons
cons
nil
cons
nil
cons
cons
146
ref
subst
nil
262
ref
5511
remove
nil
cons
cons
nil
cons
nil
cons
cons
663
ref
subst
69
ref
nil
139
ref
5510
remove
nil
cons
cons
nil
cons
nil
cons
cons
146
ref
subst
nil
262
ref
5509
remove
nil
cons
cons
nil
cons
nil
cons
cons
663
ref
subst
70
ref
nil
139
ref
5508
remove
nil
cons
cons
nil
cons
nil
cons
cons
146
ref
subst
nil
3299
remove
111
ref
5468
remove
nil
cons
5526
def
cons
nil
cons
5527
def
cons
nil
cons
cons
5528
def
126
ref
subst
5528
remove
194
ref
subst
nil
668
ref
153
ref
82
ref
nil
cons
5529
def
cons
nil
cons
cons
nil
cons
cons
5530
def
167
ref
subst
5530
remove
334
ref
subst
3858
remove
sym
834
ref
nil
139
ref
5529
ref
cons
nil
cons
nil
cons
cons
146
ref
subst
82
remove
assume
eqMp
5531
def
appThm
528
ref
trans
sym
145
ref
eqMp
eqMp
256
ref
3843
remove
260
ref
cons
nil
cons
cons
724
ref
subst
proveHyp
3849
remove
proveHyp
3862
remove
eqMp
nil
110
ref
377
remove
cons
5527
remove
cons
nil
cons
cons
175
ref
subst
proveHyp
5469
ref
81
ref
appTerm
5532
def
betaConv
5471
ref
76
ref
appTerm
5533
def
betaConv
nil
110
ref
5520
remove
cons
111
ref
5533
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
175
ref
subst
261
ref
262
ref
5471
remove
nil
cons
cons
824
ref
cons
nil
cons
cons
205
ref
subst
eqMp
eqMp
nil
110
ref
5470
remove
nil
cons
cons
111
ref
5532
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
175
ref
subst
proveHyp
261
ref
262
ref
5469
remove
nil
cons
cons
828
ref
cons
nil
cons
cons
205
ref
subst
eqMp
eqMp
eqMp
proveHyp
proveHyp
eqMp
nil
3860
remove
153
ref
5526
remove
cons
nil
cons
cons
nil
cons
cons
167
ref
subst
deductAntisym
eqMp
eqMp
absThm
eqMp
eqMp
absThm
eqMp
eqMp
absThm
eqMp
eqMp
eqMp
256
ref
257
ref
5515
remove
nil
cons
cons
293
ref
cons
nil
cons
cons
724
ref
subst
proveHyp
proveHyp
proveHyp
proveHyp
proveHyp
eqMp
nil
3101
remove
153
ref
5517
remove
cons
nil
cons
5534
def
cons
nil
cons
cons
167
ref
subst
deductAntisym
eqMp
eqMp
eqMp
nil
3103
remove
5534
ref
cons
nil
cons
cons
167
ref
subst
deductAntisym
eqMp
eqMp
absThm
eqMp
nil
110
ref
65
ref
258
ref
3104
remove
5516
ref
appTerm
absTerm
appTerm
nil
cons
cons
111
ref
3105
remove
5516
remove
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
175
ref
subst
proveHyp
256
ref
3106
remove
5534
ref
cons
nil
cons
cons
811
ref
subst
eqMp
eqMp
proveHyp
proveHyp
eqMp
nil
151
ref
5507
remove
cons
5534
remove
cons
nil
cons
cons
167
ref
subst
deductAntisym
eqMp
eqMp
eqMp
absThm
eqMp
eqMp
absThm
eqMp
eqMp
absThm
eqMp
eqMp
absThm
eqMp
5535
def
nil
110
ref
108
ref
5497
ref
appTerm
5536
def
nil
cons
5537
def
cons
5538
def
111
ref
108
ref
5488
ref
appTerm
nil
cons
5539
def
cons
nil
cons
cons
nil
cons
cons
5540
def
175
ref
subst
proveHyp
5540
ref
126
ref
subst
5540
remove
194
ref
subst
nil
178
ref
5488
remove
nil
cons
cons
5541
def
nil
cons
nil
cons
cons
1982
ref
subst
5466
ref
nil
139
ref
5487
remove
nil
cons
5542
def
cons
nil
cons
nil
cons
cons
146
ref
subst
nil
208
ref
5485
remove
nil
cons
cons
5543
def
nil
cons
nil
cons
cons
643
ref
subst
29
ref
nil
139
ref
5484
remove
nil
cons
5544
def
cons
nil
cons
nil
cons
cons
146
ref
subst
nil
208
ref
5482
remove
nil
cons
cons
5545
def
nil
cons
nil
cons
cons
643
ref
subst
26
ref
nil
139
ref
5481
remove
nil
cons
cons
nil
cons
nil
cons
cons
146
ref
subst
nil
110
ref
5476
remove
nil
cons
5546
def
cons
5547
def
111
ref
5480
ref
nil
cons
5548
def
cons
nil
cons
5549
def
cons
nil
cons
cons
5550
def
126
ref
subst
5550
remove
194
ref
subst
nil
5538
ref
5549
ref
cons
nil
cons
cons
5551
def
175
ref
subst
nil
5547
remove
111
ref
71
ref
5536
ref
appTerm
5480
remove
appTerm
5552
def
nil
cons
5553
def
cons
nil
cons
5554
def
cons
nil
cons
cons
175
ref
subst
nil
178
ref
22
ref
71
ref
5475
ref
37
ref
appTerm
5555
def
appTerm
5552
ref
appTerm
5556
def
absTerm
nil
cons
cons
nil
cons
nil
cons
cons
1982
ref
subst
22
ref
nil
139
ref
5556
remove
nil
cons
cons
nil
cons
nil
cons
cons
146
ref
subst
nil
110
ref
5555
ref
nil
cons
5557
def
cons
5554
ref
cons
nil
cons
cons
5558
def
126
ref
subst
5558
remove
194
ref
subst
5555
ref
betaConv
5555
remove
assume
eqMp
nil
110
ref
5474
remove
nil
cons
5559
def
cons
5560
def
5554
remove
cons
nil
cons
cons
5561
def
175
ref
subst
proveHyp
5561
ref
126
ref
subst
5561
remove
194
ref
subst
5551
ref
126
ref
subst
5551
remove
194
ref
subst
nil
5560
remove
5549
remove
cons
nil
cons
cons
175
ref
subst
5491
remove
41
ref
appTerm
5562
def
betaConv
5493
remove
39
ref
appTerm
5563
def
betaConv
5495
remove
5467
ref
appTerm
5564
def
betaConv
5497
remove
37
ref
appTerm
5565
def
betaConv
nil
5538
remove
111
ref
5565
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
175
ref
subst
177
ref
5498
remove
180
remove
cons
nil
cons
cons
205
ref
subst
eqMp
eqMp
nil
110
ref
5499
remove
cons
111
ref
5564
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
175
ref
subst
proveHyp
177
ref
5500
remove
179
ref
5505
remove
cons
nil
cons
5566
def
cons
nil
cons
cons
205
ref
subst
eqMp
eqMp
nil
110
ref
5501
remove
cons
111
ref
5563
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
175
ref
subst
proveHyp
207
ref
5502
remove
210
ref
cons
nil
cons
cons
205
ref
subst
eqMp
eqMp
nil
110
ref
5503
remove
cons
111
ref
5562
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
175
ref
subst
proveHyp
207
ref
5504
remove
213
ref
cons
nil
cons
cons
205
ref
subst
eqMp
eqMp
eqMp
eqMp
nil
151
ref
5537
remove
cons
5567
def
153
ref
5548
remove
cons
nil
cons
5568
def
cons
nil
cons
cons
167
ref
subst
deductAntisym
eqMp
eqMp
nil
151
ref
5559
remove
cons
153
ref
5553
remove
cons
nil
cons
5569
def
cons
nil
cons
cons
167
ref
subst
deductAntisym
eqMp
eqMp
eqMp
nil
151
ref
5557
remove
cons
5569
ref
cons
nil
cons
cons
167
ref
subst
deductAntisym
eqMp
eqMp
absThm
eqMp
nil
110
ref
108
ref
179
ref
71
ref
5475
ref
179
ref
varTerm
appTerm
appTerm
5552
ref
appTerm
absTerm
appTerm
nil
cons
cons
111
ref
5477
remove
5552
remove
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
175
ref
subst
proveHyp
177
ref
178
ref
5475
remove
nil
cons
cons
5569
remove
cons
nil
cons
cons
811
ref
subst
eqMp
eqMp
eqMp
eqMp
nil
151
ref
5546
remove
cons
5568
remove
cons
nil
cons
cons
167
ref
subst
deductAntisym
eqMp
eqMp
absThm
eqMp
eqMp
absThm
eqMp
eqMp
absThm
eqMp
eqMp
nil
5567
remove
153
ref
5539
ref
cons
nil
cons
cons
nil
cons
cons
167
ref
subst
deductAntisym
eqMp
eqMp
nil
110
ref
5539
remove
cons
111
ref
5489
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
175
ref
subst
proveHyp
177
ref
5541
remove
5566
remove
cons
nil
cons
cons
205
ref
subst
eqMp
eqMp
nil
110
ref
5542
remove
cons
111
ref
5486
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
175
ref
subst
proveHyp
207
ref
5543
remove
210
ref
cons
nil
cons
cons
205
ref
subst
eqMp
eqMp
nil
110
ref
5544
remove
cons
111
ref
5483
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
175
ref
subst
proveHyp
207
ref
5545
remove
213
ref
cons
nil
cons
cons
205
ref
subst
eqMp
eqMp
5570
def
subst
eqMp
eqMp
nil
151
ref
5428
remove
cons
5571
def
153
ref
5432
remove
cons
nil
cons
cons
nil
cons
cons
167
ref
subst
deductAntisym
eqMp
eqMp
eqMp
eqMp
nil
3086
ref
5436
remove
cons
nil
cons
cons
167
ref
subst
deductAntisym
eqMp
1881
ref
58
ref
appTerm
5572
def
betaConv
1884
ref
nil
1885
ref
111
ref
5572
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
175
ref
subst
proveHyp
345
ref
1886
ref
347
ref
3085
remove
cons
nil
cons
cons
nil
cons
cons
205
ref
subst
eqMp
eqMp
5573
def
nil
3086
ref
153
ref
5417
remove
cons
5574
def
1335
ref
5423
remove
cons
nil
cons
cons
cons
nil
cons
cons
1350
ref
subst
proveHyp
proveHyp
proveHyp
eqMp
5575
def
eqMp
absThm
eqMp
eqMp
absThm
eqMp
eqMp
absThm
eqMp
nil
99
ref
4626
remove
appTerm
thm
nil
208
ref
29
ref
65
ref
48
ref
99
ref
26
ref
4620
remove
2795
remove
4524
ref
appTerm
41
ref
appTerm
appTerm
5576
def
absTerm
5577
def
appTerm
5578
def
absTerm
5579
def
appTerm
5580
def
absTerm
5581
def
nil
cons
cons
nil
cons
nil
cons
cons
643
ref
subst
29
ref
nil
139
ref
5580
remove
nil
cons
cons
nil
cons
nil
cons
cons
146
ref
subst
nil
257
ref
5579
remove
nil
cons
cons
nil
cons
nil
cons
cons
662
ref
subst
48
ref
nil
139
ref
5578
remove
nil
cons
cons
nil
cons
nil
cons
cons
146
ref
subst
nil
208
ref
5577
remove
nil
cons
cons
nil
cons
nil
cons
cons
643
ref
subst
26
ref
nil
139
ref
5576
remove
nil
cons
cons
nil
cons
nil
cons
cons
146
ref
subst
4628
remove
2788
remove
4629
ref
appThm
998
ref
appThm
620
ref
5416
ref
subst
trans
appThm
sym
nil
5418
ref
111
ref
5419
remove
59
ref
16
ref
263
ref
1001
ref
2790
remove
4542
ref
appTerm
1002
ref
appTerm
5582
def
absTerm
absTerm
5583
def
appTerm
39
ref
appTerm
41
ref
appTerm
5584
def
appTerm
appTerm
nil
cons
5585
def
cons
nil
cons
5586
def
cons
nil
cons
cons
5587
def
126
ref
subst
5587
remove
194
ref
subst
5430
remove
5426
ref
5584
ref
refl
5588
def
appThm
nil
139
ref
5584
ref
nil
cons
5589
def
cons
nil
cons
nil
cons
cons
5590
def
359
ref
subst
trans
appThm
5434
ref
trans
sym
145
ref
eqMp
eqMp
nil
5435
ref
153
ref
5585
ref
cons
nil
cons
5591
def
cons
nil
cons
cons
167
ref
subst
deductAntisym
eqMp
nil
5437
ref
5586
remove
cons
nil
cons
cons
5592
def
126
ref
subst
5592
remove
194
ref
subst
36
ref
"_32138"
44
ref
var
5593
def
71
ref
49
ref
56
ref
5593
remove
varTerm
appTerm
appTerm
5594
def
1005
remove
appTerm
appTerm
5594
remove
5584
ref
appTerm
appTerm
absTerm
5595
def
57
ref
appTerm
5596
def
appTerm
refl
5595
ref
55
ref
appTerm
betaConv
appThm
155
ref
5596
remove
betaConv
appThm
5445
remove
5444
ref
5584
remove
appTerm
appTerm
refl
appThm
trans
5595
remove
refl
4044
ref
appThm
eqMp
sym
5446
remove
660
ref
5588
remove
appThm
5590
remove
527
ref
subst
trans
appThm
sym
nil
5447
remove
111
ref
5589
ref
cons
nil
cons
5597
def
cons
nil
cons
cons
5598
def
126
ref
subst
5598
remove
194
ref
subst
22
ref
49
ref
68
ref
69
ref
68
ref
70
ref
5450
ref
5583
ref
76
ref
appTerm
5599
def
81
ref
appTerm
appTerm
absTerm
appTerm
absTerm
appTerm
appTerm
42
ref
appTerm
absTerm
5600
def
17
ref
appTerm
betaConv
sym
216
ref
225
ref
69
ref
225
ref
70
ref
5453
remove
5599
remove
betaConv
1730
ref
appThm
1001
ref
2792
remove
4542
ref
appTerm
1002
ref
appTerm
absTerm
81
ref
appTerm
betaConv
trans
appThm
5455
remove
nil
139
ref
2998
remove
5582
remove
appTerm
5601
def
nil
cons
cons
nil
cons
nil
cons
cons
146
ref
subst
1001
ref
5601
remove
absTerm
5602
def
1002
ref
appTerm
5603
def
betaConv
263
ref
68
ref
5602
ref
appTerm
5604
def
absTerm
5605
def
627
ref
appTerm
5606
def
betaConv
nil
68
ref
5605
ref
appTerm
5607
def
axiom
nil
110
ref
5607
remove
nil
cons
cons
111
ref
5606
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
175
ref
subst
proveHyp
261
ref
262
ref
5605
remove
nil
cons
cons
3024
ref
cons
nil
cons
cons
205
ref
subst
eqMp
eqMp
nil
110
ref
5604
remove
nil
cons
cons
111
ref
5603
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
175
ref
subst
proveHyp
261
ref
262
ref
5602
remove
nil
cons
cons
2495
ref
cons
nil
cons
cons
205
ref
subst
eqMp
eqMp
eqMp
subst
trans
absThm
appThm
390
ref
trans
absThm
appThm
390
ref
trans
appThm
5463
remove
appThm
528
ref
trans
sym
145
ref
eqMp
eqMp
177
ref
178
ref
5600
ref
nil
cons
cons
5464
remove
cons
nil
cons
cons
724
ref
subst
proveHyp
nil
110
ref
5465
ref
5600
remove
appTerm
nil
cons
cons
5597
remove
cons
nil
cons
cons
175
ref
subst
proveHyp
nil
5466
ref
5583
remove
nil
cons
cons
nil
cons
nil
cons
cons
5570
ref
subst
eqMp
eqMp
nil
5571
remove
153
ref
5589
remove
cons
nil
cons
cons
nil
cons
cons
167
ref
subst
deductAntisym
eqMp
eqMp
eqMp
eqMp
nil
3086
ref
5591
remove
cons
nil
cons
cons
167
ref
subst
deductAntisym
eqMp
5573
ref
nil
3086
ref
5574
ref
1335
ref
5585
remove
cons
nil
cons
cons
cons
nil
cons
cons
1350
ref
subst
proveHyp
proveHyp
proveHyp
eqMp
5608
def
eqMp
absThm
eqMp
eqMp
absThm
eqMp
eqMp
absThm
eqMp
nil
99
ref
5581
remove
appTerm
thm
nil
178
ref
22
ref
99
ref
29
ref
99
ref
26
ref
36
ref
38
ref
4523
ref
55
ref
appTerm
5609
def
appTerm
41
ref
appTerm
5610
def
appTerm
16
ref
263
ref
1001
ref
37
remove
4542
ref
appTerm
5611
def
1002
ref
appTerm
absTerm
5612
def
absTerm
5613
def
appTerm
5614
def
39
ref
appTerm
41
ref
appTerm
5615
def
appTerm
5616
def
absTerm
5617
def
appTerm
5618
def
absTerm
5619
def
appTerm
5620
def
absTerm
5621
def
nil
cons
cons
nil
cons
nil
cons
cons
1982
ref
subst
22
ref
nil
139
ref
5620
remove
nil
cons
cons
nil
cons
nil
cons
cons
146
ref
subst
nil
208
ref
5619
remove
nil
cons
cons
nil
cons
nil
cons
cons
643
ref
subst
29
ref
nil
139
ref
5618
remove
nil
cons
cons
nil
cons
nil
cons
cons
146
ref
subst
nil
208
ref
5617
remove
nil
cons
cons
nil
cons
nil
cons
cons
643
ref
subst
26
ref
nil
139
ref
5616
ref
nil
cons
5622
def
cons
nil
cons
nil
cons
cons
146
ref
subst
nil
110
ref
308
ref
2198
ref
appTerm
nil
cons
5623
def
cons
5624
def
111
ref
5622
ref
cons
nil
cons
5625
def
cons
nil
cons
cons
5626
def
126
ref
subst
5626
remove
194
ref
subst
nil
110
ref
5610
ref
nil
cons
5627
def
cons
5628
def
111
ref
5615
ref
nil
cons
5629
def
cons
nil
cons
5630
def
cons
nil
cons
cons
5631
def
335
ref
subst
5631
ref
126
ref
subst
5631
remove
194
ref
subst
nil
5628
remove
111
ref
47
ref
48
ref
49
ref
52
ref
54
ref
5609
ref
appTerm
appTerm
5632
def
57
ref
appTerm
appTerm
62
ref
appTerm
absTerm
5633
def
appTerm
5634
def
nil
cons
5635
def
cons
nil
cons
cons
nil
cons
cons
175
ref
subst
nil
29
ref
5609
ref
nil
cons
cons
nil
cons
nil
cons
cons
3107
ref
subst
eqMp
nil
110
ref
5635
remove
cons
5630
ref
cons
nil
cons
cons
175
ref
subst
proveHyp
nil
257
ref
493
ref
71
ref
5633
ref
496
ref
appTerm
5636
def
appTerm
5615
ref
appTerm
5637
def
absTerm
nil
cons
cons
nil
cons
nil
cons
cons
662
ref
subst
493
ref
nil
139
ref
5637
remove
nil
cons
cons
nil
cons
nil
cons
cons
146
ref
subst
nil
110
ref
5636
ref
nil
cons
5638
def
cons
5630
ref
cons
nil
cons
cons
5639
def
126
ref
subst
5639
remove
194
ref
subst
5636
ref
betaConv
5636
remove
assume
eqMp
nil
110
ref
49
ref
5632
remove
496
ref
appTerm
appTerm
3606
ref
appTerm
nil
cons
cons
5630
ref
cons
nil
cons
cons
175
ref
subst
proveHyp
226
ref
216
ref
217
ref
nil
1778
remove
nil
cons
nil
cons
cons
4707
remove
subst
appThm
4708
ref
appThm
appThm
4709
remove
appThm
appThm
5615
ref
refl
appThm
sym
nil
4752
ref
5630
remove
cons
nil
cons
cons
5640
def
126
ref
subst
5640
remove
194
ref
subst
nil
3612
remove
4716
ref
cons
nil
cons
cons
5641
def
167
ref
subst
5642
def
5641
remove
334
ref
subst
5643
def
nil
5624
remove
322
remove
cons
nil
cons
cons
175
ref
subst
nil
139
ref
5623
ref
cons
nil
cons
nil
cons
cons
4724
remove
subst
3111
remove
4728
remove
subst
trans
215
ref
48
ref
216
ref
4730
remove
222
ref
appThm
appThm
4734
ref
222
ref
appThm
appThm
nil
139
ref
3436
remove
nil
cons
cons
nil
cons
nil
cons
cons
402
remove
subst
trans
absThm
appThm
nil
404
remove
508
ref
cons
nil
cons
nil
cons
cons
432
remove
subst
trans
trans
sym
145
ref
eqMp
eqMp
5644
def
nil
151
ref
5629
ref
cons
5645
def
nil
cons
nil
cons
cons
348
ref
subst
proveHyp
proveHyp
proveHyp
eqMp
nil
151
ref
4751
remove
cons
5646
def
153
ref
5629
ref
cons
nil
cons
5647
def
cons
nil
cons
cons
167
ref
subst
deductAntisym
eqMp
eqMp
eqMp
eqMp
nil
151
ref
5638
remove
cons
5647
ref
cons
nil
cons
cons
167
ref
subst
deductAntisym
eqMp
eqMp
absThm
eqMp
nil
110
ref
65
ref
258
ref
71
ref
5633
ref
797
ref
appTerm
appTerm
5615
ref
appTerm
absTerm
appTerm
nil
cons
cons
111
ref
71
ref
5634
remove
appTerm
5615
ref
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
175
ref
subst
proveHyp
256
ref
257
ref
5633
remove
nil
cons
cons
5647
ref
cons
nil
cons
cons
811
ref
subst
eqMp
eqMp
eqMp
nil
151
ref
5627
ref
cons
5648
def
5647
remove
cons
nil
cons
cons
167
ref
subst
deductAntisym
eqMp
nil
110
ref
71
ref
5610
ref
appTerm
5615
ref
appTerm
nil
cons
cons
111
ref
71
ref
5615
remove
appTerm
5610
ref
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
194
ref
subst
proveHyp
nil
110
ref
5629
remove
cons
5649
def
111
ref
5627
ref
cons
nil
cons
5650
def
cons
nil
cons
cons
5651
def
126
ref
subst
5651
remove
194
ref
subst
nil
5649
remove
3079
remove
cons
nil
cons
cons
175
ref
subst
nil
22
ref
5613
ref
nil
cons
cons
nil
cons
nil
cons
cons
5652
def
3107
remove
subst
eqMp
nil
2200
remove
5650
ref
cons
nil
cons
cons
175
ref
subst
proveHyp
nil
257
ref
493
ref
4745
remove
5610
ref
appTerm
5653
def
absTerm
nil
cons
cons
nil
cons
nil
cons
cons
662
ref
subst
493
ref
nil
139
ref
5653
remove
nil
cons
cons
nil
cons
nil
cons
cons
146
ref
subst
nil
4748
remove
5650
ref
cons
nil
cons
cons
5654
def
126
ref
subst
5654
remove
194
ref
subst
4750
remove
nil
4752
remove
5650
remove
cons
nil
cons
cons
5655
def
175
ref
subst
proveHyp
5655
ref
126
ref
subst
5655
remove
194
ref
subst
5642
remove
5643
remove
5644
remove
nil
5648
remove
nil
cons
nil
cons
cons
348
remove
subst
proveHyp
proveHyp
proveHyp
eqMp
nil
5646
remove
153
ref
5627
remove
cons
nil
cons
5656
def
cons
nil
cons
cons
167
ref
subst
deductAntisym
eqMp
eqMp
eqMp
nil
4755
remove
5656
ref
cons
nil
cons
cons
167
ref
subst
deductAntisym
eqMp
eqMp
absThm
eqMp
nil
110
ref
65
ref
258
ref
4058
ref
5610
ref
appTerm
absTerm
appTerm
nil
cons
cons
111
ref
4059
ref
5610
remove
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
175
ref
subst
proveHyp
256
ref
2196
ref
5656
ref
cons
nil
cons
cons
811
ref
subst
eqMp
eqMp
eqMp
nil
5645
remove
5656
remove
cons
nil
cons
cons
167
ref
subst
deductAntisym
eqMp
eqMp
eqMp
eqMp
nil
151
ref
5623
ref
cons
153
ref
5622
ref
cons
nil
cons
5657
def
cons
nil
cons
cons
167
ref
subst
deductAntisym
eqMp
nil
257
ref
48
ref
4048
remove
5616
ref
appTerm
5658
def
absTerm
nil
cons
cons
nil
cons
nil
cons
cons
662
ref
subst
48
ref
nil
139
ref
5658
remove
nil
cons
cons
nil
cons
nil
cons
cons
146
ref
subst
nil
4051
remove
5625
ref
cons
nil
cons
cons
5659
def
126
ref
subst
5659
remove
194
ref
subst
4053
remove
nil
3117
remove
5625
ref
cons
nil
cons
cons
175
ref
subst
proveHyp
26
ref
2207
remove
5616
ref
appTerm
absTerm
5660
def
41
ref
appTerm
5661
def
betaConv
5662
def
29
ref
99
ref
5660
ref
appTerm
5663
def
absTerm
5664
def
39
ref
appTerm
5665
def
betaConv
5666
def
48
ref
99
ref
5664
ref
appTerm
5667
def
absTerm
5668
def
57
ref
appTerm
5669
def
betaConv
5670
def
nil
208
ref
29
ref
99
ref
26
ref
2220
remove
5616
ref
appTerm
5671
def
absTerm
5672
def
appTerm
5673
def
absTerm
5674
def
nil
cons
cons
nil
cons
nil
cons
cons
643
ref
subst
29
ref
nil
139
ref
5673
remove
nil
cons
cons
nil
cons
nil
cons
cons
146
ref
subst
nil
208
ref
5672
remove
nil
cons
cons
nil
cons
nil
cons
cons
643
ref
subst
26
ref
nil
139
ref
5671
remove
nil
cons
cons
nil
cons
nil
cons
cons
146
ref
subst
4771
remove
5616
ref
refl
5675
def
appThm
sym
nil
4774
remove
5625
remove
cons
nil
cons
cons
5676
def
126
ref
subst
5676
remove
194
ref
subst
4778
remove
4779
remove
155
ref
38
ref
refl
5677
def
4829
ref
54
ref
refl
1063
ref
appThm
221
ref
trans
appThm
4780
remove
trans
appThm
2269
ref
appThm
434
ref
trans
appThm
5614
ref
refl
1063
ref
appThm
2269
ref
appThm
5652
ref
434
remove
subst
trans
appThm
4781
remove
trans
sym
145
ref
eqMp
proveHyp
proveHyp
eqMp
nil
4782
remove
5657
ref
cons
nil
cons
cons
167
ref
subst
deductAntisym
eqMp
eqMp
eqMp
absThm
eqMp
eqMp
absThm
eqMp
nil
110
ref
99
ref
5674
remove
appTerm
5678
def
nil
cons
cons
111
ref
65
ref
48
ref
71
ref
5667
ref
appTerm
99
ref
29
ref
99
ref
26
ref
2274
remove
5616
ref
appTerm
5679
def
absTerm
5680
def
appTerm
5681
def
absTerm
5682
def
appTerm
5683
def
appTerm
5684
def
absTerm
5685
def
appTerm
5686
def
nil
cons
cons
nil
cons
cons
nil
cons
cons
194
ref
subst
proveHyp
nil
257
ref
5685
remove
nil
cons
cons
nil
cons
nil
cons
cons
662
ref
subst
48
ref
nil
139
ref
5684
remove
nil
cons
cons
nil
cons
nil
cons
cons
146
ref
subst
nil
110
ref
5667
remove
nil
cons
5687
def
cons
5688
def
111
ref
5683
remove
nil
cons
5689
def
cons
nil
cons
cons
nil
cons
cons
5690
def
126
ref
subst
5690
remove
194
ref
subst
nil
208
ref
5682
remove
nil
cons
cons
nil
cons
nil
cons
cons
643
ref
subst
29
ref
nil
139
ref
5681
remove
nil
cons
cons
nil
cons
nil
cons
cons
146
ref
subst
nil
208
ref
5680
remove
nil
cons
cons
nil
cons
nil
cons
cons
643
ref
subst
26
ref
nil
139
ref
5679
remove
nil
cons
cons
nil
cons
nil
cons
cons
146
ref
subst
nil
1340
ref
5622
ref
cons
2289
remove
cons
nil
cons
cons
2249
ref
subst
1095
ref
2290
ref
5675
remove
appThm
appThm
trans
sym
nil
262
ref
2291
ref
2294
ref
2299
ref
5616
ref
appTerm
5691
def
appTerm
5692
def
absTerm
nil
cons
cons
nil
cons
nil
cons
cons
663
ref
subst
2291
ref
nil
139
ref
5692
remove
nil
cons
cons
nil
cons
nil
cons
cons
146
ref
subst
nil
2303
ref
111
ref
5691
ref
nil
cons
5693
def
cons
nil
cons
5694
def
cons
nil
cons
cons
5695
def
126
ref
subst
5695
remove
194
ref
subst
2307
ref
nil
2312
ref
5694
ref
cons
nil
cons
cons
175
ref
subst
proveHyp
nil
208
ref
2313
ref
2316
ref
5691
ref
appTerm
5696
def
absTerm
nil
cons
cons
nil
cons
nil
cons
cons
643
ref
subst
2313
ref
nil
139
ref
5696
remove
nil
cons
cons
nil
cons
nil
cons
cons
146
ref
subst
nil
2319
ref
5694
ref
cons
nil
cons
cons
5697
def
126
ref
subst
5697
remove
194
ref
subst
2321
ref
nil
2328
ref
5694
remove
cons
nil
cons
cons
5698
def
175
ref
subst
proveHyp
5698
ref
126
ref
subst
5698
remove
194
ref
subst
2332
ref
2333
ref
36
ref
"_31988"
2
ref
var
5699
def
2299
ref
36
ref
38
ref
4523
ref
54
ref
5699
remove
varTerm
5700
def
appTerm
appTerm
appTerm
41
ref
appTerm
appTerm
5614
ref
5700
remove
appTerm
41
ref
appTerm
appTerm
appTerm
absTerm
5701
def
39
ref
appTerm
5702
def
appTerm
refl
5701
ref
2322
ref
appTerm
betaConv
appThm
155
ref
5702
remove
betaConv
appThm
2299
ref
36
ref
38
ref
4523
ref
3350
remove
appTerm
appTerm
5703
def
41
ref
appTerm
appTerm
5614
ref
2322
ref
appTerm
5704
def
41
ref
appTerm
appTerm
5705
def
appTerm
5706
def
refl
appThm
trans
5701
remove
refl
2342
ref
appThm
eqMp
sym
nil
262
ref
2343
ref
2346
ref
5705
ref
appTerm
5707
def
absTerm
nil
cons
cons
nil
cons
nil
cons
cons
663
ref
subst
2343
ref
nil
139
ref
5707
remove
nil
cons
cons
nil
cons
nil
cons
cons
146
ref
subst
nil
2349
ref
111
ref
5705
ref
nil
cons
5708
def
cons
nil
cons
5709
def
cons
nil
cons
cons
5710
def
126
ref
subst
5710
remove
194
ref
subst
2353
ref
nil
2359
ref
5709
ref
cons
nil
cons
cons
175
ref
subst
proveHyp
nil
208
ref
2360
ref
2363
ref
5705
ref
appTerm
5711
def
absTerm
nil
cons
cons
nil
cons
nil
cons
cons
643
ref
subst
2360
ref
nil
139
ref
5711
remove
nil
cons
cons
nil
cons
nil
cons
cons
146
ref
subst
nil
2366
ref
5709
ref
cons
nil
cons
cons
5712
def
126
ref
subst
5712
remove
194
ref
subst
2368
ref
nil
2376
ref
5709
remove
cons
nil
cons
cons
5713
def
175
ref
subst
proveHyp
5713
ref
126
ref
subst
5713
remove
194
ref
subst
2382
ref
2383
ref
36
ref
"_31992"
2
ref
var
5714
def
36
ref
5703
ref
5714
remove
varTerm
5715
def
appTerm
appTerm
5704
ref
5715
remove
appTerm
appTerm
absTerm
5716
def
41
ref
appTerm
5717
def
appTerm
refl
5716
ref
2369
ref
appTerm
betaConv
appThm
155
ref
5717
remove
betaConv
appThm
36
ref
5703
remove
2369
ref
appTerm
appTerm
5704
remove
2369
ref
appTerm
appTerm
refl
appThm
trans
5716
remove
refl
2392
ref
appThm
eqMp
sym
155
ref
5677
remove
4829
remove
3365
remove
1288
ref
3366
remove
appThm
3367
remove
appThm
trans
5718
def
appThm
nil
3369
ref
4196
ref
cons
nil
cons
cons
5719
def
4840
remove
subst
4841
remove
4523
ref
2324
ref
appTerm
5720
def
refl
appThm
trans
trans
appThm
3035
ref
appThm
nil
2313
ref
5720
ref
nil
cons
cons
2291
ref
4544
remove
cons
nil
cons
cons
nil
cons
cons
3945
ref
subst
trans
appThm
5652
remove
3945
ref
subst
216
ref
5613
remove
2292
ref
appTerm
betaConv
5350
remove
appThm
5612
remove
2344
ref
appTerm
betaConv
trans
appThm
5614
remove
2314
ref
appTerm
2361
ref
appTerm
5721
def
refl
appThm
trans
appThm
sym
49
ref
5611
remove
2344
ref
appTerm
appTerm
refl
2421
remove
sym
145
ref
eqMp
nil
3447
remove
111
ref
36
ref
38
ref
5720
remove
appTerm
2361
ref
appTerm
appTerm
5721
remove
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
175
ref
subst
proveHyp
3956
remove
5662
remove
5666
remove
nil
5688
remove
111
ref
5665
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
175
ref
subst
5722
def
207
ref
208
ref
5664
remove
nil
cons
cons
210
ref
cons
nil
cons
cons
205
ref
subst
5723
def
eqMp
eqMp
nil
110
ref
5663
remove
nil
cons
cons
111
ref
5661
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
175
ref
subst
5724
def
proveHyp
207
ref
208
ref
5660
remove
nil
cons
cons
213
ref
cons
nil
cons
cons
205
ref
subst
5725
def
eqMp
eqMp
subst
eqMp
appThm
eqMp
eqMp
proveHyp
proveHyp
eqMp
nil
2747
ref
153
ref
5708
remove
cons
nil
cons
5726
def
cons
nil
cons
cons
167
ref
subst
deductAntisym
eqMp
eqMp
eqMp
nil
2749
ref
5726
ref
cons
nil
cons
cons
167
ref
subst
deductAntisym
eqMp
eqMp
absThm
eqMp
nil
110
ref
99
ref
29
ref
2750
ref
5705
ref
appTerm
absTerm
appTerm
nil
cons
cons
111
ref
2751
ref
5705
ref
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
175
ref
subst
proveHyp
207
ref
2752
ref
5726
ref
cons
nil
cons
cons
811
ref
subst
eqMp
eqMp
eqMp
nil
2753
ref
5726
ref
cons
nil
cons
cons
167
ref
subst
deductAntisym
eqMp
eqMp
absThm
eqMp
nil
110
ref
68
ref
263
ref
2754
ref
5705
remove
appTerm
absTerm
appTerm
nil
cons
cons
111
ref
5706
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
175
ref
subst
proveHyp
261
ref
2755
ref
5726
remove
cons
nil
cons
cons
811
ref
subst
eqMp
eqMp
proveHyp
proveHyp
eqMp
nil
2756
ref
153
ref
5693
remove
cons
nil
cons
5727
def
cons
nil
cons
cons
167
ref
subst
deductAntisym
eqMp
eqMp
eqMp
nil
2758
ref
5727
ref
cons
nil
cons
cons
167
ref
subst
deductAntisym
eqMp
eqMp
absThm
eqMp
nil
110
ref
99
ref
1892
ref
2759
ref
5691
ref
appTerm
absTerm
appTerm
nil
cons
cons
111
ref
2760
ref
5691
ref
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
175
ref
subst
proveHyp
207
ref
2761
ref
5727
ref
cons
nil
cons
cons
811
ref
subst
eqMp
eqMp
eqMp
nil
2762
ref
5727
ref
cons
nil
cons
cons
167
ref
subst
deductAntisym
eqMp
eqMp
absThm
eqMp
nil
110
ref
68
ref
263
ref
1894
ref
5691
ref
appTerm
absTerm
appTerm
nil
cons
cons
111
ref
1895
ref
5691
remove
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
175
ref
subst
proveHyp
261
ref
1896
ref
5727
remove
cons
nil
cons
cons
811
ref
subst
eqMp
eqMp
eqMp
absThm
eqMp
eqMp
absThm
eqMp
eqMp
nil
151
ref
5687
remove
cons
153
ref
5689
remove
cons
nil
cons
cons
nil
cons
cons
167
ref
subst
deductAntisym
eqMp
eqMp
absThm
eqMp
eqMp
nil
110
ref
49
ref
5678
remove
appTerm
5686
remove
appTerm
nil
cons
cons
111
ref
65
ref
5668
ref
appTerm
nil
cons
5728
def
cons
nil
cons
cons
nil
cons
cons
175
ref
subst
proveHyp
226
ref
216
ref
5668
ref
220
ref
appTerm
betaConv
appThm
224
ref
48
ref
226
ref
5670
ref
appThm
5668
ref
309
ref
appTerm
betaConv
appThm
absThm
appThm
appThm
appThm
224
ref
48
ref
5670
remove
absThm
appThm
appThm
nil
1024
ref
5668
remove
nil
cons
5729
def
cons
nil
cons
nil
cons
cons
1904
ref
subst
eqMp
eqMp
nil
110
ref
5728
remove
cons
111
ref
5669
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
175
ref
subst
proveHyp
256
ref
257
ref
5729
remove
cons
293
ref
cons
nil
cons
cons
205
ref
subst
eqMp
eqMp
5722
remove
proveHyp
5723
remove
eqMp
eqMp
5724
remove
proveHyp
5725
remove
eqMp
eqMp
eqMp
eqMp
nil
4057
remove
5657
ref
cons
nil
cons
cons
167
ref
subst
deductAntisym
eqMp
eqMp
absThm
eqMp
nil
110
ref
65
ref
258
ref
4058
remove
5616
ref
appTerm
absTerm
appTerm
nil
cons
cons
111
ref
4059
remove
5616
remove
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
175
ref
subst
proveHyp
256
ref
2196
remove
5657
remove
cons
nil
cons
cons
811
ref
subst
eqMp
1881
remove
2198
remove
appTerm
5730
def
betaConv
1884
remove
nil
1885
remove
111
ref
5730
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
175
ref
subst
proveHyp
345
ref
1886
remove
347
ref
2199
ref
cons
nil
cons
cons
nil
cons
cons
205
ref
subst
eqMp
eqMp
nil
151
ref
2199
remove
cons
153
ref
5623
remove
cons
1335
ref
5622
remove
cons
nil
cons
cons
cons
nil
cons
cons
1350
ref
subst
proveHyp
proveHyp
proveHyp
5731
def
eqMp
absThm
eqMp
eqMp
absThm
eqMp
eqMp
absThm
eqMp
nil
108
ref
5621
remove
appTerm
thm
nil
208
ref
29
ref
65
ref
66
ref
821
remove
absTerm
5732
def
appTerm
5733
def
absTerm
5734
def
nil
cons
cons
nil
cons
nil
cons
cons
643
ref
subst
29
ref
nil
139
ref
5733
remove
nil
cons
cons
nil
cons
nil
cons
cons
146
ref
subst
nil
257
ref
5732
remove
nil
cons
cons
nil
cons
nil
cons
cons
662
ref
subst
66
ref
nil
139
ref
822
remove
cons
nil
cons
nil
cons
cons
146
ref
subst
820
remove
eqMp
absThm
eqMp
eqMp
absThm
eqMp
nil
99
ref
5734
remove
appTerm
thm
nil
262
ref
227
ref
99
ref
29
ref
65
ref
66
ref
68
ref
1170
ref
36
ref
3972
remove
1216
ref
appTerm
1181
ref
appTerm
appTerm
75
ref
1181
remove
appTerm
appTerm
5735
def
absTerm
5736
def
appTerm
5737
def
absTerm
5738
def
appTerm
5739
def
absTerm
5740
def
appTerm
5741
def
absTerm
5742
def
nil
cons
cons
nil
cons
nil
cons
cons
663
ref
subst
227
ref
nil
139
ref
5741
remove
nil
cons
cons
nil
cons
nil
cons
cons
146
ref
subst
nil
208
ref
5740
remove
nil
cons
cons
nil
cons
nil
cons
cons
643
ref
subst
29
ref
nil
139
ref
5739
remove
nil
cons
cons
nil
cons
nil
cons
cons
146
ref
subst
nil
257
ref
5738
remove
nil
cons
cons
nil
cons
nil
cons
cons
662
ref
subst
66
ref
nil
139
ref
5737
remove
nil
cons
cons
nil
cons
nil
cons
cons
146
ref
subst
nil
262
ref
5736
remove
nil
cons
cons
nil
cons
nil
cons
cons
663
ref
subst
1170
ref
nil
139
ref
5735
remove
nil
cons
cons
nil
cons
nil
cons
cons
146
ref
subst
1296
ref
eqMp
absThm
eqMp
eqMp
absThm
eqMp
eqMp
absThm
eqMp
eqMp
absThm
eqMp
nil
68
ref
5742
remove
appTerm
thm
5335
remove
nil
588
ref
5334
remove
appTerm
thm
nil
208
ref
29
ref
65
ref
48
ref
99
ref
26
ref
71
ref
59
ref
10
ref
4524
ref
appTerm
5743
def
41
ref
appTerm
appTerm
appTerm
900
remove
4524
ref
appTerm
5744
def
41
ref
appTerm
appTerm
5745
def
absTerm
5746
def
appTerm
5747
def
absTerm
5748
def
appTerm
5749
def
absTerm
5750
def
nil
cons
cons
nil
cons
nil
cons
cons
643
ref
subst
29
ref
nil
139
ref
5749
remove
nil
cons
cons
nil
cons
nil
cons
cons
146
ref
subst
nil
257
ref
5748
remove
nil
cons
cons
nil
cons
nil
cons
cons
662
ref
subst
48
ref
nil
139
ref
5747
remove
nil
cons
cons
nil
cons
nil
cons
cons
146
ref
subst
nil
208
ref
5746
remove
nil
cons
cons
nil
cons
nil
cons
cons
643
ref
subst
26
ref
nil
139
ref
5745
remove
nil
cons
cons
nil
cons
nil
cons
cons
146
ref
subst
226
ref
4627
ref
19
ref
4629
ref
appThm
998
ref
appThm
appThm
appThm
2162
remove
4629
remove
appThm
998
ref
appThm
541
ref
5416
ref
subst
trans
appThm
sym
nil
5418
remove
111
ref
71
ref
59
ref
18
ref
4524
ref
appTerm
41
ref
appTerm
5751
def
appTerm
appTerm
59
ref
16
ref
263
ref
1001
ref
2166
remove
4542
ref
appTerm
1002
ref
appTerm
5752
def
absTerm
absTerm
5753
def
appTerm
39
ref
appTerm
41
ref
appTerm
5754
def
appTerm
appTerm
nil
cons
5755
def
cons
nil
cons
5756
def
cons
nil
cons
cons
5757
def
126
ref
subst
5757
remove
194
ref
subst
226
ref
5426
ref
5751
ref
refl
appThm
nil
139
ref
5751
remove
nil
cons
cons
nil
cons
nil
cons
cons
359
ref
subst
trans
appThm
5426
remove
5754
ref
refl
5758
def
appThm
nil
139
ref
5754
ref
nil
cons
5759
def
cons
nil
cons
nil
cons
cons
5760
def
359
remove
subst
trans
appThm
5434
remove
trans
sym
145
ref
eqMp
eqMp
nil
5435
remove
153
ref
5755
ref
cons
nil
cons
5761
def
cons
nil
cons
cons
167
ref
subst
deductAntisym
eqMp
nil
5437
remove
5756
remove
cons
nil
cons
cons
5762
def
126
ref
subst
5762
remove
194
ref
subst
36
ref
"_32134"
44
ref
var
5763
def
71
ref
49
ref
56
ref
5763
remove
varTerm
5764
def
appTerm
appTerm
5765
def
18
ref
4523
remove
5764
remove
appTerm
appTerm
41
ref
appTerm
appTerm
appTerm
5765
remove
5754
ref
appTerm
appTerm
absTerm
5766
def
57
ref
appTerm
5767
def
appTerm
refl
5766
ref
55
ref
appTerm
betaConv
appThm
155
ref
5767
remove
betaConv
appThm
71
ref
5444
ref
18
remove
5609
remove
appTerm
41
ref
appTerm
appTerm
appTerm
5444
remove
5754
remove
appTerm
appTerm
refl
appThm
trans
5766
remove
refl
4044
ref
appThm
eqMp
sym
226
ref
660
ref
25
ref
5731
remove
subst
appThm
nil
139
ref
16
remove
263
ref
1001
ref
17
remove
4542
ref
appTerm
1002
ref
appTerm
5768
def
absTerm
5769
def
absTerm
5770
def
appTerm
39
ref
appTerm
41
ref
appTerm
5771
def
nil
cons
5772
def
cons
nil
cons
nil
cons
cons
5773
def
527
ref
subst
trans
appThm
660
remove
5758
remove
appThm
5760
remove
527
ref
subst
trans
appThm
sym
nil
110
ref
5772
ref
cons
111
ref
5759
ref
cons
nil
cons
5774
def
cons
nil
cons
cons
5775
def
126
ref
subst
5775
remove
194
ref
subst
22
ref
49
ref
68
ref
69
ref
68
ref
70
ref
5450
remove
5753
ref
76
ref
appTerm
5776
def
81
ref
appTerm
appTerm
absTerm
appTerm
absTerm
appTerm
appTerm
42
remove
appTerm
absTerm
5777
def
5770
ref
appTerm
betaConv
sym
216
ref
225
ref
69
ref
225
ref
70
ref
226
ref
5770
ref
76
ref
appTerm
betaConv
1730
ref
appThm
5769
remove
81
ref
appTerm
betaConv
trans
appThm
5776
remove
betaConv
1730
remove
appThm
1001
ref
2170
remove
4542
remove
appTerm
1002
ref
appTerm
absTerm
81
ref
appTerm
betaConv
trans
appThm
nil
823
ref
5454
ref
nil
cons
cons
nil
cons
cons
nil
139
ref
71
ref
5768
remove
appTerm
5752
remove
appTerm
5778
def
nil
cons
cons
nil
cons
nil
cons
cons
146
ref
subst
1001
ref
5778
remove
absTerm
5779
def
1002
ref
appTerm
5780
def
betaConv
263
ref
68
ref
5779
ref
appTerm
5781
def
absTerm
5782
def
627
ref
appTerm
5783
def
betaConv
nil
68
ref
5782
ref
appTerm
5784
def
axiom
nil
110
ref
5784
remove
nil
cons
cons
111
ref
5783
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
175
ref
subst
proveHyp
261
ref
262
ref
5782
remove
nil
cons
cons
3024
ref
cons
nil
cons
cons
205
ref
subst
eqMp
eqMp
nil
110
ref
5781
remove
nil
cons
cons
111
ref
5780
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
175
ref
subst
proveHyp
261
ref
262
ref
5779
remove
nil
cons
cons
2495
ref
cons
nil
cons
cons
205
ref
subst
eqMp
eqMp
eqMp
subst
trans
absThm
appThm
390
ref
trans
absThm
appThm
390
remove
trans
appThm
5773
remove
146
ref
subst
5771
remove
assume
eqMp
appThm
528
ref
trans
sym
145
ref
eqMp
eqMp
177
remove
178
ref
5777
ref
nil
cons
cons
179
remove
5770
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
724
ref
subst
proveHyp
nil
110
ref
5465
remove
5777
remove
appTerm
nil
cons
cons
5774
remove
cons
nil
cons
cons
175
ref
subst
proveHyp
nil
5466
ref
5753
remove
nil
cons
cons
nil
cons
nil
cons
cons
5570
remove
subst
eqMp
eqMp
nil
151
ref
5772
remove
cons
153
ref
5759
remove
cons
nil
cons
cons
nil
cons
cons
167
ref
subst
deductAntisym
eqMp
eqMp
eqMp
eqMp
nil
3086
ref
5761
remove
cons
nil
cons
cons
167
ref
subst
deductAntisym
eqMp
5573
remove
nil
3086
ref
5574
remove
1335
ref
5755
remove
cons
nil
cons
cons
cons
nil
cons
cons
1350
ref
subst
proveHyp
proveHyp
proveHyp
eqMp
5785
def
eqMp
absThm
eqMp
eqMp
absThm
eqMp
eqMp
absThm
eqMp
nil
99
ref
5750
remove
appTerm
thm
nil
208
ref
29
ref
99
ref
26
ref
99
ref
542
ref
65
ref
48
ref
71
ref
49
ref
2768
ref
appTerm
5786
def
58
ref
appTerm
5787
def
appTerm
550
ref
appTerm
5788
def
absTerm
5789
def
appTerm
5790
def
absTerm
5791
def
appTerm
5792
def
absTerm
5793
def
appTerm
5794
def
absTerm
5795
def
nil
cons
cons
5796
def
nil
cons
nil
cons
cons
643
ref
subst
29
ref
nil
139
ref
5794
remove
nil
cons
5797
def
cons
nil
cons
nil
cons
cons
146
ref
subst
nil
208
ref
5793
ref
nil
cons
cons
5798
def
nil
cons
nil
cons
cons
643
ref
subst
26
ref
nil
139
ref
5792
remove
nil
cons
5799
def
cons
nil
cons
nil
cons
cons
146
ref
subst
nil
208
ref
5791
ref
nil
cons
cons
5800
def
nil
cons
nil
cons
cons
643
ref
subst
542
ref
nil
139
ref
5790
remove
nil
cons
5801
def
cons
nil
cons
nil
cons
cons
146
ref
subst
nil
257
ref
5789
ref
nil
cons
cons
5802
def
nil
cons
nil
cons
cons
662
ref
subst
48
ref
nil
139
ref
5788
remove
nil
cons
cons
nil
cons
nil
cons
cons
146
ref
subst
226
ref
216
ref
2164
ref
appThm
5803
def
4032
ref
appThm
appThm
550
ref
refl
5804
def
appThm
sym
541
ref
nil
110
ref
4846
remove
58
ref
appTerm
5805
def
nil
cons
5806
def
cons
111
ref
4681
ref
cons
nil
cons
5807
def
cons
nil
cons
cons
5808
def
126
ref
subst
5808
remove
194
ref
subst
nil
151
ref
548
ref
nil
cons
5809
def
cons
5810
def
4037
remove
cons
nil
cons
cons
5811
def
167
ref
subst
5811
remove
334
ref
subst
36
ref
"_31998"
44
ref
var
5812
def
549
ref
5812
remove
varTerm
appTerm
absTerm
5813
def
57
ref
appTerm
5814
def
appTerm
refl
5815
def
5813
ref
55
ref
appTerm
betaConv
appThm
155
ref
5814
remove
betaConv
appThm
5816
def
549
ref
55
ref
appTerm
5817
def
refl
5818
def
appThm
trans
5813
remove
refl
5819
def
4044
remove
appThm
eqMp
sym
4699
ref
nil
110
ref
5015
remove
cons
5820
def
111
ref
5817
ref
nil
cons
5821
def
cons
nil
cons
5822
def
cons
nil
cons
cons
175
ref
subst
proveHyp
226
ref
226
ref
nil
139
ref
5809
ref
cons
nil
cons
nil
cons
cons
146
ref
subst
548
ref
assume
eqMp
appThm
4662
ref
appThm
nil
139
ref
4668
remove
cons
nil
cons
nil
cons
cons
840
ref
subst
trans
appThm
5823
def
5818
remove
appThm
sym
nil
257
ref
48
ref
71
ref
4686
ref
appTerm
5817
ref
appTerm
5824
def
absTerm
nil
cons
cons
nil
cons
nil
cons
cons
662
ref
subst
48
ref
nil
139
ref
5824
remove
nil
cons
cons
nil
cons
nil
cons
cons
146
ref
subst
nil
110
ref
4686
ref
nil
cons
5825
def
cons
5822
ref
cons
nil
cons
cons
5826
def
126
ref
subst
5826
remove
194
ref
subst
4687
ref
4686
remove
assume
eqMp
nil
110
ref
4659
ref
nil
cons
5827
def
cons
5828
def
5822
remove
cons
nil
cons
cons
5829
def
175
ref
subst
proveHyp
5829
ref
126
ref
subst
5829
remove
194
ref
subst
nil
3086
ref
153
ref
4658
ref
nil
cons
5830
def
cons
nil
cons
5831
def
cons
nil
cons
cons
5832
def
167
ref
subst
5832
remove
334
ref
subst
5833
def
nil
3090
remove
153
ref
4681
ref
cons
nil
cons
5834
def
cons
nil
cons
cons
5835
def
334
ref
subst
5836
def
4689
ref
3095
remove
appThm
2416
ref
trans
sym
145
ref
eqMp
proveHyp
proveHyp
proveHyp
eqMp
nil
151
ref
5827
ref
cons
5837
def
153
ref
5821
remove
cons
nil
cons
5838
def
cons
nil
cons
cons
167
ref
subst
deductAntisym
eqMp
eqMp
eqMp
nil
151
ref
5825
remove
cons
5838
ref
cons
nil
cons
cons
167
ref
subst
deductAntisym
eqMp
eqMp
absThm
eqMp
nil
110
ref
65
ref
258
ref
71
ref
4660
remove
797
ref
appTerm
appTerm
5817
ref
appTerm
absTerm
appTerm
nil
cons
cons
111
ref
71
ref
4661
ref
appTerm
5817
remove
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
175
ref
subst
proveHyp
256
ref
4692
remove
5838
remove
cons
nil
cons
cons
811
ref
subst
eqMp
eqMp
eqMp
eqMp
proveHyp
proveHyp
eqMp
nil
151
ref
5806
remove
cons
5834
ref
cons
nil
cons
cons
167
ref
subst
deductAntisym
eqMp
5839
def
subst
eqMp
eqMp
absThm
eqMp
eqMp
absThm
eqMp
5840
def
eqMp
absThm
eqMp
eqMp
absThm
eqMp
5841
def
nil
99
ref
5795
ref
appTerm
5842
def
thm
nil
208
ref
29
ref
99
ref
26
ref
99
ref
542
ref
65
ref
48
ref
71
ref
49
ref
2785
ref
appTerm
5843
def
58
ref
appTerm
5844
def
appTerm
550
ref
appTerm
5845
def
absTerm
5846
def
appTerm
5847
def
absTerm
5848
def
appTerm
5849
def
absTerm
5850
def
appTerm
5851
def
absTerm
5852
def
nil
cons
cons
5853
def
nil
cons
nil
cons
cons
643
ref
subst
29
ref
nil
139
ref
5851
remove
nil
cons
5854
def
cons
nil
cons
nil
cons
cons
146
ref
subst
nil
208
ref
5850
ref
nil
cons
cons
5855
def
nil
cons
nil
cons
cons
643
ref
subst
26
ref
nil
139
ref
5849
remove
nil
cons
5856
def
cons
nil
cons
nil
cons
cons
146
ref
subst
nil
208
ref
5848
ref
nil
cons
cons
5857
def
nil
cons
nil
cons
cons
643
ref
subst
542
ref
nil
139
ref
5847
remove
nil
cons
5858
def
cons
nil
cons
nil
cons
cons
146
ref
subst
nil
257
ref
5846
ref
nil
cons
cons
5859
def
nil
cons
nil
cons
cons
662
ref
subst
48
ref
nil
139
ref
5845
remove
nil
cons
cons
nil
cons
nil
cons
cons
146
ref
subst
226
ref
216
ref
2777
ref
appThm
5860
def
4032
ref
appThm
appThm
5804
ref
appThm
sym
611
ref
5839
ref
subst
eqMp
eqMp
absThm
eqMp
eqMp
absThm
eqMp
eqMp
absThm
eqMp
eqMp
absThm
eqMp
5861
def
nil
99
ref
5852
ref
appTerm
5862
def
thm
nil
208
ref
29
ref
99
ref
26
ref
99
ref
542
ref
65
ref
48
ref
71
ref
49
ref
2797
ref
appTerm
5863
def
58
ref
appTerm
5864
def
appTerm
550
ref
appTerm
5865
def
absTerm
5866
def
appTerm
5867
def
absTerm
5868
def
appTerm
5869
def
absTerm
5870
def
appTerm
5871
def
absTerm
5872
def
nil
cons
cons
5873
def
nil
cons
nil
cons
cons
643
ref
subst
29
ref
nil
139
ref
5871
remove
nil
cons
5874
def
cons
nil
cons
nil
cons
cons
146
ref
subst
nil
208
ref
5870
ref
nil
cons
cons
5875
def
nil
cons
nil
cons
cons
643
ref
subst
26
ref
nil
139
ref
5869
remove
nil
cons
5876
def
cons
nil
cons
nil
cons
cons
146
ref
subst
nil
208
ref
5868
ref
nil
cons
cons
5877
def
nil
cons
nil
cons
cons
643
ref
subst
542
ref
nil
139
ref
5867
remove
nil
cons
5878
def
cons
nil
cons
nil
cons
cons
146
ref
subst
nil
257
ref
5866
ref
nil
cons
cons
5879
def
nil
cons
nil
cons
cons
662
ref
subst
48
ref
nil
139
ref
5865
remove
nil
cons
cons
nil
cons
nil
cons
cons
146
ref
subst
226
ref
216
ref
2789
ref
appThm
5880
def
4032
ref
appThm
appThm
5804
ref
appThm
sym
620
ref
5839
ref
subst
eqMp
eqMp
absThm
eqMp
eqMp
absThm
eqMp
eqMp
absThm
eqMp
eqMp
absThm
eqMp
5881
def
nil
99
ref
5872
ref
appTerm
5882
def
thm
1683
remove
nil
1684
remove
thm
nil
262
ref
1943
ref
68
ref
263
ref
68
ref
1001
ref
68
ref
2165
ref
36
ref
1945
ref
1151
ref
appTerm
1963
ref
appTerm
3983
ref
appTerm
appTerm
4018
ref
appTerm
5883
def
absTerm
5884
def
appTerm
5885
def
absTerm
5886
def
appTerm
5887
def
absTerm
5888
def
appTerm
5889
def
absTerm
5890
def
nil
cons
cons
nil
cons
nil
cons
cons
663
ref
subst
1943
ref
nil
139
ref
5889
remove
nil
cons
cons
nil
cons
nil
cons
cons
146
ref
subst
nil
262
ref
5888
remove
nil
cons
cons
nil
cons
nil
cons
cons
663
ref
subst
263
ref
nil
139
ref
5887
remove
nil
cons
cons
nil
cons
nil
cons
cons
146
ref
subst
nil
262
ref
5886
remove
nil
cons
cons
nil
cons
nil
cons
cons
663
ref
subst
1001
ref
nil
139
ref
5885
remove
nil
cons
cons
nil
cons
nil
cons
cons
146
ref
subst
nil
262
ref
5884
remove
nil
cons
cons
nil
cons
nil
cons
cons
663
ref
subst
2165
ref
nil
139
ref
5883
remove
nil
cons
cons
nil
cons
nil
cons
cons
146
ref
subst
155
ref
1953
ref
1968
remove
appThm
1969
remove
appThm
3991
remove
appThm
appThm
4018
ref
refl
appThm
sym
nil
1955
ref
3993
remove
1971
remove
1166
remove
1956
ref
cons
cons
cons
cons
nil
cons
cons
2537
remove
subst
eqMp
eqMp
absThm
eqMp
eqMp
absThm
eqMp
eqMp
absThm
eqMp
eqMp
absThm
eqMp
nil
68
ref
5890
remove
appTerm
thm
nil
178
ref
22
ref
99
ref
29
ref
99
ref
26
ref
65
ref
48
ref
71
ref
4034
remove
appTerm
62
ref
appTerm
5891
def
absTerm
5892
def
appTerm
5893
def
absTerm
5894
def
appTerm
5895
def
absTerm
5896
def
appTerm
5897
def
absTerm
5898
def
nil
cons
cons
nil
cons
nil
cons
cons
1982
ref
subst
22
ref
nil
139
ref
5897
remove
nil
cons
cons
nil
cons
nil
cons
cons
146
ref
subst
nil
208
ref
5896
remove
nil
cons
cons
nil
cons
nil
cons
cons
643
ref
subst
29
ref
nil
139
ref
5895
remove
nil
cons
cons
nil
cons
nil
cons
cons
146
ref
subst
nil
208
ref
5894
remove
nil
cons
cons
nil
cons
nil
cons
cons
643
ref
subst
26
ref
nil
139
ref
5893
remove
nil
cons
cons
nil
cons
nil
cons
cons
146
ref
subst
nil
257
ref
5892
remove
nil
cons
cons
nil
cons
nil
cons
cons
662
ref
subst
48
ref
nil
139
ref
5891
remove
nil
cons
cons
nil
cons
nil
cons
cons
146
ref
subst
4061
remove
eqMp
absThm
eqMp
eqMp
absThm
eqMp
eqMp
absThm
eqMp
eqMp
absThm
eqMp
nil
108
ref
5898
remove
appTerm
thm
nil
178
ref
22
ref
3361
remove
absTerm
5899
def
nil
cons
cons
nil
cons
nil
cons
cons
1982
ref
subst
22
ref
nil
139
ref
3362
remove
cons
nil
cons
nil
cons
cons
146
ref
subst
3360
remove
eqMp
absThm
eqMp
nil
108
ref
5899
remove
appTerm
thm
nil
208
ref
1444
ref
99
ref
1442
ref
99
ref
1441
ref
99
ref
1440
ref
71
ref
49
ref
10
ref
1449
ref
appTerm
1446
ref
appTerm
appTerm
10
ref
1457
ref
appTerm
1454
ref
appTerm
appTerm
appTerm
10
ref
1466
ref
appTerm
1463
ref
appTerm
appTerm
5900
def
absTerm
5901
def
appTerm
5902
def
absTerm
5903
def
appTerm
5904
def
absTerm
5905
def
appTerm
5906
def
absTerm
5907
def
nil
cons
cons
nil
cons
nil
cons
cons
643
ref
subst
1444
ref
nil
139
ref
5906
remove
nil
cons
cons
nil
cons
nil
cons
cons
146
ref
subst
nil
208
ref
5905
remove
nil
cons
cons
nil
cons
nil
cons
cons
643
ref
subst
1442
ref
nil
139
ref
5904
remove
nil
cons
cons
nil
cons
nil
cons
cons
146
ref
subst
nil
208
ref
5903
remove
nil
cons
cons
nil
cons
nil
cons
cons
643
ref
subst
1441
ref
nil
139
ref
5902
remove
nil
cons
cons
nil
cons
nil
cons
cons
146
ref
subst
nil
208
ref
5901
remove
nil
cons
cons
nil
cons
nil
cons
cons
643
ref
subst
1440
ref
nil
139
ref
5900
remove
nil
cons
cons
nil
cons
nil
cons
cons
146
ref
subst
226
ref
216
ref
19
ref
1449
ref
refl
5908
def
appThm
1446
ref
refl
5909
def
appThm
appThm
19
ref
1457
ref
refl
5910
def
appThm
1454
ref
refl
5911
def
appThm
appThm
appThm
19
ref
1466
ref
refl
5912
def
appThm
1463
ref
refl
5913
def
appThm
appThm
sym
25
ref
1890
ref
subst
eqMp
eqMp
absThm
eqMp
eqMp
absThm
eqMp
eqMp
absThm
eqMp
eqMp
absThm
eqMp
nil
99
ref
5907
remove
appTerm
thm
nil
208
ref
1444
ref
99
ref
1442
ref
99
ref
1441
ref
99
ref
1440
ref
71
ref
49
ref
436
ref
1449
ref
appTerm
1446
ref
appTerm
appTerm
436
ref
1457
ref
appTerm
1454
ref
appTerm
appTerm
appTerm
436
ref
1466
ref
appTerm
1463
ref
appTerm
appTerm
5914
def
absTerm
5915
def
appTerm
5916
def
absTerm
5917
def
appTerm
5918
def
absTerm
5919
def
appTerm
5920
def
absTerm
5921
def
nil
cons
cons
nil
cons
nil
cons
cons
643
ref
subst
1444
ref
nil
139
ref
5920
remove
nil
cons
cons
nil
cons
nil
cons
cons
146
ref
subst
nil
208
ref
5919
remove
nil
cons
cons
nil
cons
nil
cons
cons
643
ref
subst
1442
ref
nil
139
ref
5918
remove
nil
cons
cons
nil
cons
nil
cons
cons
146
ref
subst
nil
208
ref
5917
remove
nil
cons
cons
nil
cons
nil
cons
cons
643
ref
subst
1441
ref
nil
139
ref
5916
remove
nil
cons
cons
nil
cons
nil
cons
cons
146
ref
subst
nil
208
ref
5915
remove
nil
cons
cons
nil
cons
nil
cons
cons
643
ref
subst
1440
ref
nil
139
ref
5914
remove
nil
cons
cons
nil
cons
nil
cons
cons
146
ref
subst
226
ref
216
ref
439
ref
5908
ref
appThm
5909
ref
appThm
appThm
439
ref
5910
ref
appThm
5911
ref
appThm
appThm
appThm
439
ref
5912
ref
appThm
5913
ref
appThm
appThm
sym
441
ref
1890
ref
subst
eqMp
eqMp
absThm
eqMp
eqMp
absThm
eqMp
eqMp
absThm
eqMp
eqMp
absThm
eqMp
nil
99
ref
5921
remove
appTerm
thm
nil
208
ref
1444
ref
99
ref
1442
ref
99
ref
1441
ref
99
ref
1440
ref
71
ref
49
ref
442
ref
1449
ref
appTerm
1446
ref
appTerm
appTerm
442
ref
1457
ref
appTerm
1454
ref
appTerm
appTerm
appTerm
442
ref
1466
ref
appTerm
1463
ref
appTerm
appTerm
5922
def
absTerm
5923
def
appTerm
5924
def
absTerm
5925
def
appTerm
5926
def
absTerm
5927
def
appTerm
5928
def
absTerm
5929
def
nil
cons
cons
nil
cons
nil
cons
cons
643
ref
subst
1444
ref
nil
139
ref
5928
remove
nil
cons
cons
nil
cons
nil
cons
cons
146
ref
subst
nil
208
ref
5927
remove
nil
cons
cons
nil
cons
nil
cons
cons
643
ref
subst
1442
ref
nil
139
ref
5926
remove
nil
cons
cons
nil
cons
nil
cons
cons
146
ref
subst
nil
208
ref
5925
remove
nil
cons
cons
nil
cons
nil
cons
cons
643
ref
subst
1441
ref
nil
139
ref
5924
remove
nil
cons
cons
nil
cons
nil
cons
cons
146
ref
subst
nil
208
ref
5923
remove
nil
cons
cons
nil
cons
nil
cons
cons
643
ref
subst
1440
ref
nil
139
ref
5922
remove
nil
cons
cons
nil
cons
nil
cons
cons
146
ref
subst
226
ref
216
ref
445
ref
5908
ref
appThm
5909
ref
appThm
appThm
445
ref
5910
ref
appThm
5911
ref
appThm
appThm
appThm
445
ref
5912
ref
appThm
5913
ref
appThm
appThm
sym
447
ref
1890
ref
subst
eqMp
eqMp
absThm
eqMp
eqMp
absThm
eqMp
eqMp
absThm
eqMp
eqMp
absThm
eqMp
nil
99
ref
5929
remove
appTerm
thm
nil
208
ref
1444
ref
99
ref
1442
ref
99
ref
1441
ref
99
ref
1440
ref
71
ref
49
ref
448
ref
1449
ref
appTerm
1454
ref
appTerm
appTerm
448
ref
1457
ref
appTerm
1446
ref
appTerm
appTerm
appTerm
448
remove
1466
ref
appTerm
1463
ref
appTerm
appTerm
5930
def
absTerm
5931
def
appTerm
5932
def
absTerm
5933
def
appTerm
5934
def
absTerm
5935
def
appTerm
5936
def
absTerm
5937
def
nil
cons
cons
nil
cons
nil
cons
cons
643
ref
subst
1444
ref
nil
139
ref
5936
remove
nil
cons
cons
nil
cons
nil
cons
cons
146
ref
subst
nil
208
ref
5935
remove
nil
cons
cons
nil
cons
nil
cons
cons
643
ref
subst
1442
ref
nil
139
ref
5934
remove
nil
cons
cons
nil
cons
nil
cons
cons
146
ref
subst
nil
208
ref
5933
remove
nil
cons
cons
nil
cons
nil
cons
cons
643
ref
subst
1441
ref
nil
139
ref
5932
remove
nil
cons
cons
nil
cons
nil
cons
cons
146
ref
subst
nil
208
ref
5931
remove
nil
cons
cons
nil
cons
nil
cons
cons
643
ref
subst
1440
ref
nil
139
ref
5930
remove
nil
cons
cons
nil
cons
nil
cons
cons
146
ref
subst
4515
remove
eqMp
absThm
eqMp
eqMp
absThm
eqMp
eqMp
absThm
eqMp
eqMp
absThm
eqMp
nil
99
ref
5937
remove
appTerm
thm
nil
262
ref
227
ref
68
ref
263
ref
68
ref
1001
ref
68
ref
2165
ref
36
ref
860
ref
243
ref
appTerm
1151
ref
appTerm
1963
ref
appTerm
3983
ref
appTerm
5938
def
appTerm
"Hardware.and3"
const
1946
ref
constTerm
5939
def
233
ref
appTerm
627
ref
appTerm
1002
ref
appTerm
2168
ref
appTerm
5940
def
appTerm
5941
def
absTerm
5942
def
appTerm
5943
def
absTerm
5944
def
appTerm
5945
def
absTerm
5946
def
appTerm
5947
def
absTerm
5948
def
nil
cons
cons
nil
cons
nil
cons
cons
663
ref
subst
227
ref
nil
139
ref
5947
remove
nil
cons
cons
nil
cons
nil
cons
cons
146
ref
subst
nil
262
ref
5946
remove
nil
cons
cons
nil
cons
nil
cons
cons
663
ref
subst
263
ref
nil
139
ref
5945
remove
nil
cons
cons
nil
cons
nil
cons
cons
146
ref
subst
nil
262
ref
5944
remove
nil
cons
cons
nil
cons
nil
cons
cons
663
ref
subst
1001
ref
nil
139
ref
5943
remove
nil
cons
cons
nil
cons
nil
cons
cons
146
ref
subst
nil
262
ref
5942
remove
nil
cons
cons
nil
cons
nil
cons
cons
663
ref
subst
2165
ref
nil
139
ref
5941
ref
nil
cons
cons
nil
cons
nil
cons
cons
146
ref
subst
155
ref
nil
542
ref
3983
ref
nil
cons
cons
26
ref
2462
ref
cons
29
ref
1153
remove
cons
5949
def
857
ref
267
remove
cons
nil
cons
cons
cons
cons
nil
cons
cons
5950
def
887
ref
subst
appThm
2165
ref
36
ref
5940
remove
appTerm
5951
def
1000
ref
"wx"
11
ref
var
5952
def
49
ref
536
ref
233
ref
appTerm
5953
def
627
ref
appTerm
5952
ref
varTerm
5954
def
appTerm
5955
def
appTerm
5956
def
536
ref
5954
ref
appTerm
1002
ref
appTerm
2168
ref
appTerm
5957
def
appTerm
5958
def
absTerm
5959
def
appTerm
5960
def
appTerm
absTerm
5961
def
2168
ref
appTerm
5962
def
betaConv
1001
ref
68
ref
5961
ref
appTerm
5963
def
absTerm
5964
def
1002
ref
appTerm
5965
def
betaConv
263
ref
68
ref
5964
ref
appTerm
5966
def
absTerm
5967
def
627
ref
appTerm
5968
def
betaConv
227
ref
68
ref
5967
ref
appTerm
5969
def
absTerm
5970
def
233
ref
appTerm
5971
def
betaConv
nil
68
ref
5970
ref
appTerm
5972
def
axiom
nil
110
ref
5972
remove
nil
cons
cons
111
ref
5971
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
175
ref
subst
proveHyp
261
ref
262
ref
5970
remove
nil
cons
cons
265
ref
cons
nil
cons
cons
205
ref
subst
eqMp
eqMp
nil
110
ref
5969
remove
nil
cons
cons
111
ref
5968
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
175
ref
subst
proveHyp
261
ref
262
ref
5967
remove
nil
cons
cons
3024
ref
cons
nil
cons
cons
205
ref
subst
eqMp
eqMp
nil
110
ref
5966
remove
nil
cons
cons
111
ref
5965
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
175
ref
subst
proveHyp
261
ref
262
ref
5964
remove
nil
cons
cons
2495
ref
cons
nil
cons
cons
205
ref
subst
eqMp
eqMp
nil
110
ref
5963
remove
nil
cons
cons
111
ref
5962
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
175
ref
subst
proveHyp
261
ref
262
ref
5961
remove
nil
cons
cons
263
ref
3992
remove
cons
nil
cons
5973
def
cons
nil
cons
cons
205
ref
subst
eqMp
eqMp
appThm
sym
nil
110
ref
725
ref
863
ref
49
ref
532
ref
243
ref
appTerm
5974
def
1151
ref
appTerm
5975
def
866
ref
appTerm
appTerm
5976
def
869
ref
1963
ref
appTerm
3983
ref
appTerm
appTerm
absTerm
5977
def
appTerm
5978
def
nil
cons
5979
def
cons
111
ref
5960
ref
nil
cons
5980
def
cons
nil
cons
5981
def
cons
nil
cons
cons
335
ref
subst
nil
208
ref
"bwx"
2
ref
var
5982
def
71
ref
5977
ref
5982
ref
varTerm
5983
def
appTerm
5984
def
appTerm
5960
ref
appTerm
5985
def
absTerm
nil
cons
cons
nil
cons
nil
cons
cons
643
ref
subst
5982
ref
nil
139
ref
5985
remove
nil
cons
cons
nil
cons
nil
cons
cons
146
ref
subst
nil
110
ref
5984
ref
nil
cons
5986
def
cons
5981
ref
cons
nil
cons
cons
5987
def
126
ref
subst
5987
remove
194
ref
subst
5984
ref
betaConv
5984
remove
assume
eqMp
nil
110
ref
49
ref
5975
ref
5983
ref
appTerm
5988
def
appTerm
5989
def
532
ref
5983
ref
appTerm
1963
ref
appTerm
3983
ref
appTerm
5990
def
appTerm
nil
cons
5991
def
cons
5981
ref
cons
nil
cons
cons
5992
def
175
ref
subst
proveHyp
5992
ref
126
ref
subst
5992
remove
194
ref
subst
nil
151
ref
5988
ref
nil
cons
5993
def
cons
5994
def
153
ref
5990
ref
nil
cons
cons
nil
cons
cons
nil
cons
cons
5995
def
167
ref
subst
5995
remove
334
ref
subst
"y"
44
ref
var
5996
def
49
ref
52
ref
54
ref
5983
ref
appTerm
5997
def
appTerm
5998
def
5996
ref
varTerm
5999
def
appTerm
appTerm
52
ref
5999
remove
appTerm
240
ref
appTerm
appTerm
absTerm
6000
def
1156
ref
appTerm
betaConv
sym
6001
def
29
ref
725
ref
26
ref
49
ref
901
ref
5983
ref
appTerm
appTerm
56
ref
1156
ref
appTerm
6002
def
appTerm
absTerm
appTerm
absTerm
6003
def
243
ref
appTerm
betaConv
sym
26
ref
49
ref
5974
ref
41
ref
appTerm
6004
def
5983
ref
appTerm
appTerm
1157
remove
1156
ref
appTerm
6005
def
appTerm
absTerm
6006
def
1151
ref
appTerm
betaConv
sym
216
ref
nil
139
ref
5993
remove
cons
nil
cons
nil
cons
cons
146
ref
subst
5988
remove
assume
6007
def
eqMp
appThm
1921
ref
appThm
528
ref
trans
sym
145
ref
eqMp
eqMp
207
ref
208
ref
6006
remove
nil
cons
cons
5949
remove
nil
cons
6008
def
cons
nil
cons
cons
724
ref
subst
proveHyp
eqMp
207
ref
208
ref
6003
ref
nil
cons
cons
1154
ref
cons
nil
cons
cons
724
ref
subst
proveHyp
nil
110
ref
725
ref
6003
remove
appTerm
nil
cons
cons
111
ref
5998
ref
1156
remove
appTerm
nil
cons
6009
def
cons
nil
cons
6010
def
cons
nil
cons
cons
175
ref
subst
proveHyp
nil
48
ref
1919
remove
cons
542
ref
5983
ref
nil
cons
6011
def
cons
nil
cons
cons
nil
cons
cons
6012
def
48
ref
71
ref
725
ref
29
ref
725
ref
26
ref
5787
ref
absTerm
6013
def
appTerm
6014
def
absTerm
6015
def
appTerm
6016
def
appTerm
6017
def
550
ref
appTerm
6018
def
absTerm
6019
def
57
ref
appTerm
6020
def
betaConv
542
ref
65
ref
6019
ref
appTerm
6021
def
absTerm
6022
def
547
ref
appTerm
6023
def
betaConv
5841
ref
nil
110
ref
5842
ref
nil
cons
6024
def
cons
6025
def
111
ref
99
ref
6022
ref
appTerm
nil
cons
6026
def
cons
nil
cons
cons
nil
cons
cons
6027
def
175
ref
subst
proveHyp
6027
ref
126
ref
subst
6027
remove
194
ref
subst
nil
208
ref
6022
remove
nil
cons
cons
6028
def
nil
cons
nil
cons
cons
643
ref
subst
542
ref
nil
139
ref
6021
remove
nil
cons
6029
def
cons
nil
cons
nil
cons
cons
146
ref
subst
nil
257
ref
6019
remove
nil
cons
cons
6030
def
nil
cons
nil
cons
cons
662
ref
subst
48
ref
nil
139
ref
6018
remove
nil
cons
cons
nil
cons
nil
cons
cons
146
ref
subst
nil
110
ref
6016
remove
nil
cons
6031
def
cons
6032
def
5807
ref
cons
nil
cons
cons
6033
def
126
ref
subst
6033
remove
194
ref
subst
nil
6025
ref
5807
ref
cons
nil
cons
cons
6034
def
175
ref
subst
nil
6032
remove
111
ref
71
ref
5842
remove
appTerm
550
ref
appTerm
6035
def
nil
cons
6036
def
cons
nil
cons
6037
def
cons
nil
cons
cons
175
ref
subst
nil
208
ref
29
ref
71
ref
6015
ref
39
ref
appTerm
6038
def
appTerm
6035
ref
appTerm
6039
def
absTerm
6040
def
nil
cons
cons
nil
cons
nil
cons
cons
643
ref
subst
29
ref
nil
139
ref
6039
remove
nil
cons
cons
nil
cons
nil
cons
cons
146
ref
subst
nil
110
ref
6038
ref
nil
cons
6041
def
cons
6037
ref
cons
nil
cons
cons
6042
def
126
ref
subst
6042
remove
194
ref
subst
6038
ref
betaConv
6038
remove
assume
eqMp
nil
110
ref
6014
ref
nil
cons
cons
6037
ref
cons
nil
cons
cons
175
ref
subst
proveHyp
nil
208
ref
26
ref
71
ref
6013
ref
41
ref
appTerm
6043
def
appTerm
6035
ref
appTerm
6044
def
absTerm
nil
cons
cons
nil
cons
nil
cons
cons
643
ref
subst
26
ref
nil
139
ref
6044
remove
nil
cons
cons
nil
cons
nil
cons
cons
146
ref
subst
nil
110
ref
6043
ref
nil
cons
6045
def
cons
6037
ref
cons
nil
cons
cons
6046
def
126
ref
subst
6046
remove
194
ref
subst
6043
ref
betaConv
6043
remove
assume
eqMp
nil
110
ref
5787
remove
nil
cons
6047
def
cons
6048
def
6037
remove
cons
nil
cons
cons
6049
def
175
ref
subst
proveHyp
6049
ref
126
ref
subst
6049
remove
194
ref
subst
6034
ref
126
ref
subst
6034
remove
194
ref
subst
nil
6048
remove
5807
ref
cons
nil
cons
cons
175
ref
subst
5789
remove
57
ref
appTerm
6050
def
betaConv
5791
ref
547
ref
appTerm
6051
def
betaConv
5793
remove
41
ref
appTerm
6052
def
betaConv
5795
ref
39
ref
appTerm
6053
def
betaConv
nil
6025
ref
111
ref
6053
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
175
ref
subst
207
ref
5796
ref
210
ref
cons
nil
cons
cons
205
ref
subst
eqMp
eqMp
nil
110
ref
5797
remove
cons
111
ref
6052
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
175
ref
subst
proveHyp
207
ref
5798
remove
213
ref
cons
nil
cons
cons
205
ref
subst
eqMp
eqMp
nil
110
ref
5799
remove
cons
6054
def
111
ref
6051
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
175
ref
subst
proveHyp
207
ref
5800
ref
595
ref
cons
nil
cons
cons
205
ref
subst
eqMp
eqMp
nil
110
ref
5801
remove
cons
111
ref
6050
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
175
ref
subst
proveHyp
256
ref
5802
remove
293
ref
cons
nil
cons
cons
205
ref
subst
eqMp
eqMp
eqMp
eqMp
nil
151
ref
6024
remove
cons
6055
def
5834
ref
cons
nil
cons
cons
167
ref
subst
deductAntisym
eqMp
eqMp
nil
151
ref
6047
remove
cons
153
ref
6036
remove
cons
nil
cons
6056
def
cons
nil
cons
cons
167
ref
subst
deductAntisym
eqMp
eqMp
eqMp
nil
151
ref
6045
remove
cons
6056
ref
cons
nil
cons
cons
167
ref
subst
deductAntisym
eqMp
eqMp
absThm
eqMp
nil
110
ref
99
ref
1892
ref
71
ref
6013
ref
1893
ref
appTerm
appTerm
6035
ref
appTerm
absTerm
appTerm
nil
cons
cons
111
ref
71
ref
6014
remove
appTerm
6035
ref
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
175
ref
subst
proveHyp
207
ref
208
ref
6013
remove
nil
cons
cons
6056
ref
cons
nil
cons
cons
811
ref
subst
eqMp
eqMp
eqMp
nil
151
ref
6041
remove
cons
6056
ref
cons
nil
cons
cons
167
ref
subst
deductAntisym
eqMp
eqMp
absThm
eqMp
nil
110
ref
99
ref
6040
remove
appTerm
nil
cons
cons
111
ref
6017
remove
6035
remove
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
175
ref
subst
proveHyp
207
ref
208
ref
6015
remove
nil
cons
cons
6056
remove
cons
nil
cons
cons
811
ref
subst
eqMp
eqMp
eqMp
eqMp
nil
151
ref
6031
remove
cons
5834
ref
cons
nil
cons
cons
167
ref
subst
deductAntisym
eqMp
eqMp
absThm
eqMp
eqMp
absThm
eqMp
eqMp
nil
6055
remove
153
ref
6026
ref
cons
nil
cons
cons
nil
cons
cons
167
ref
subst
deductAntisym
eqMp
eqMp
nil
110
ref
6026
remove
cons
111
ref
6023
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
175
ref
subst
proveHyp
207
ref
6028
remove
595
ref
cons
nil
cons
cons
205
ref
subst
eqMp
eqMp
nil
110
ref
6029
remove
cons
111
ref
6020
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
175
ref
subst
proveHyp
256
ref
6030
remove
293
ref
cons
nil
cons
cons
205
ref
subst
eqMp
eqMp
6057
def
subst
eqMp
nil
110
ref
6009
remove
cons
111
ref
1158
ref
nil
cons
cons
nil
cons
cons
nil
cons
cons
194
ref
subst
6058
def
proveHyp
1162
ref
eqMp
eqMp
256
ref
257
ref
6000
ref
nil
cons
cons
1920
remove
cons
nil
cons
cons
724
ref
subst
6059
def
proveHyp
nil
110
ref
47
ref
6000
remove
appTerm
nil
cons
cons
111
ref
5998
remove
240
ref
appTerm
6060
def
nil
cons
cons
nil
cons
cons
nil
cons
cons
175
ref
subst
6061
def
proveHyp
nil
"z"
44
ref
var
269
remove
cons
258
ref
5997
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
391
ref
"z"
181
ref
var
6062
def
71
ref
405
remove
413
ref
49
ref
417
ref
appTerm
418
remove
6062
ref
varTerm
6063
def
appTerm
appTerm
6064
def
absTerm
6065
def
appTerm
6066
def
appTerm
6067
def
415
remove
6063
ref
appTerm
6068
def
appTerm
6069
def
absTerm
6070
def
6063
ref
appTerm
6071
def
betaConv
189
ref
184
ref
6070
ref
appTerm
6072
def
absTerm
6073
def
190
ref
appTerm
6074
def
betaConv
nil
184
ref
189
ref
184
ref
413
ref
184
ref
6062
ref
71
ref
6064
ref
appTerm
6068
ref
appTerm
absTerm
6075
def
appTerm
6076
def
absTerm
6077
def
appTerm
6078
def
absTerm
6079
def
appTerm
6080
def
axiom
nil
110
ref
6080
ref
nil
cons
6081
def
cons
6082
def
111
ref
184
ref
6073
ref
appTerm
nil
cons
6083
def
cons
nil
cons
cons
nil
cons
cons
6084
def
175
ref
subst
proveHyp
6084
ref
126
ref
subst
6084
remove
194
ref
subst
nil
185
ref
6073
remove
nil
cons
cons
6085
def
nil
cons
nil
cons
cons
642
ref
subst
189
ref
nil
139
ref
6072
remove
nil
cons
6086
def
cons
nil
cons
nil
cons
cons
146
ref
subst
nil
185
ref
6070
remove
nil
cons
cons
6087
def
nil
cons
nil
cons
cons
642
ref
subst
6062
remove
nil
139
ref
6069
remove
nil
cons
cons
nil
cons
nil
cons
cons
146
ref
subst
nil
110
ref
6066
remove
nil
cons
6088
def
cons
6089
def
111
ref
6068
ref
nil
cons
6090
def
cons
nil
cons
6091
def
cons
nil
cons
cons
6092
def
126
ref
subst
6092
remove
194
ref
subst
nil
6082
ref
6091
ref
cons
nil
cons
cons
6093
def
175
ref
subst
nil
6089
remove
111
ref
71
ref
6080
remove
appTerm
6068
remove
appTerm
6094
def
nil
cons
6095
def
cons
nil
cons
6096
def
cons
nil
cons
cons
175
ref
subst
nil
185
ref
413
ref
71
ref
6065
ref
416
ref
appTerm
6097
def
appTerm
6094
ref
appTerm
6098
def
absTerm
nil
cons
cons
nil
cons
nil
cons
cons
642
ref
subst
413
ref
nil
139
ref
6098
remove
nil
cons
cons
nil
cons
nil
cons
cons
146
ref
subst
nil
110
ref
6097
ref
nil
cons
6099
def
cons
6096
ref
cons
nil
cons
cons
6100
def
126
ref
subst
6100
remove
194
ref
subst
6097
ref
betaConv
6097
remove
assume
eqMp
nil
110
ref
6064
remove
nil
cons
6101
def
cons
6102
def
6096
remove
cons
nil
cons
cons
6103
def
175
ref
subst
proveHyp
6103
ref
126
ref
subst
6103
remove
194
ref
subst
6093
ref
126
ref
subst
6093
remove
194
ref
subst
nil
6102
remove
6091
remove
cons
nil
cons
cons
175
ref
subst
6075
ref
6063
ref
appTerm
6104
def
betaConv
6077
ref
416
ref
appTerm
6105
def
betaConv
6079
ref
190
ref
appTerm
6106
def
betaConv
nil
6082
remove
111
ref
6106
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
175
ref
subst
427
ref
185
ref
6079
remove
nil
cons
cons
428
ref
cons
nil
cons
cons
205
ref
subst
eqMp
eqMp
nil
110
ref
6078
remove
nil
cons
cons
111
ref
6105
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
175
ref
subst
proveHyp
427
ref
185
ref
6077
remove
nil
cons
cons
429
ref
cons
nil
cons
cons
205
ref
subst
eqMp
eqMp
nil
110
ref
6076
remove
nil
cons
cons
111
ref
6104
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
175
ref
subst
proveHyp
427
ref
185
ref
6075
remove
nil
cons
cons
189
ref
6063
remove
nil
cons
cons
nil
cons
6107
def
cons
nil
cons
cons
205
ref
subst
eqMp
eqMp
eqMp
eqMp
nil
151
ref
6081
remove
cons
6108
def
153
ref
6090
remove
cons
nil
cons
6109
def
cons
nil
cons
cons
167
ref
subst
deductAntisym
eqMp
eqMp
nil
151
ref
6101
remove
cons
153
ref
6095
remove
cons
nil
cons
6110
def
cons
nil
cons
cons
167
ref
subst
deductAntisym
eqMp
eqMp
eqMp
nil
151
ref
6099
remove
cons
6110
ref
cons
nil
cons
cons
167
ref
subst
deductAntisym
eqMp
eqMp
absThm
eqMp
nil
110
ref
184
ref
"x'"
181
ref
var
6111
def
71
ref
6065
ref
6111
remove
varTerm
appTerm
appTerm
6094
ref
appTerm
absTerm
appTerm
nil
cons
cons
111
ref
6067
remove
6094
remove
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
175
ref
subst
proveHyp
427
ref
185
ref
6065
remove
nil
cons
cons
6110
remove
cons
nil
cons
cons
811
ref
subst
eqMp
eqMp
eqMp
eqMp
nil
151
ref
6088
remove
cons
6109
remove
cons
nil
cons
cons
167
ref
subst
deductAntisym
eqMp
eqMp
absThm
eqMp
eqMp
absThm
eqMp
eqMp
nil
6108
remove
153
ref
6083
ref
cons
nil
cons
cons
nil
cons
cons
167
ref
subst
deductAntisym
eqMp
eqMp
nil
110
ref
6083
remove
cons
111
ref
6074
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
175
ref
subst
proveHyp
427
ref
6085
remove
428
ref
cons
nil
cons
cons
205
ref
subst
eqMp
eqMp
nil
110
ref
6086
remove
cons
111
ref
6071
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
175
ref
subst
proveHyp
427
ref
6087
remove
6107
remove
cons
nil
cons
cons
205
ref
subst
eqMp
eqMp
6112
def
subst
subst
6113
def
eqMp
6114
def
nil
29
ref
6011
remove
cons
nil
cons
nil
cons
cons
2136
remove
39
ref
appTerm
6115
def
betaConv
2139
remove
nil
2140
remove
111
ref
6115
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
175
ref
subst
proveHyp
207
ref
2141
remove
210
ref
cons
nil
cons
cons
205
ref
subst
eqMp
eqMp
6116
def
subst
6060
remove
assume
eqMp
6117
def
nil
110
ref
1000
ref
227
ref
278
ref
5983
ref
appTerm
6118
def
243
ref
appTerm
absTerm
6119
def
appTerm
6120
def
nil
cons
cons
6121
def
5981
ref
cons
nil
cons
cons
175
ref
subst
proveHyp
nil
262
ref
5952
ref
71
ref
6119
ref
5954
ref
appTerm
6122
def
appTerm
6123
def
5960
ref
appTerm
6124
def
absTerm
nil
cons
cons
nil
cons
nil
cons
cons
663
ref
subst
5952
ref
nil
139
ref
6124
remove
nil
cons
cons
nil
cons
nil
cons
cons
146
ref
subst
nil
110
ref
6122
ref
nil
cons
6125
def
cons
6126
def
5981
ref
cons
nil
cons
cons
6127
def
126
ref
subst
6127
remove
194
ref
subst
6122
ref
betaConv
6122
remove
assume
eqMp
6128
def
nil
110
ref
6118
remove
242
ref
5954
ref
appTerm
6129
def
appTerm
6130
def
nil
cons
6131
def
cons
6132
def
5981
remove
cons
nil
cons
cons
6133
def
175
ref
subst
proveHyp
6133
ref
126
ref
subst
6133
remove
194
ref
subst
5959
ref
5954
ref
appTerm
6134
def
betaConv
6135
def
sym
216
ref
nil
2165
ref
5954
ref
nil
cons
6136
def
cons
1001
ref
1165
remove
cons
265
ref
cons
cons
nil
cons
cons
6137
def
2165
ref
36
ref
2169
remove
appTerm
3984
remove
appTerm
6138
def
absTerm
6139
def
2168
ref
appTerm
6140
def
betaConv
1001
ref
68
ref
6139
ref
appTerm
6141
def
absTerm
6142
def
1002
ref
appTerm
6143
def
betaConv
263
ref
68
ref
6142
ref
appTerm
6144
def
absTerm
6145
def
627
ref
appTerm
6146
def
betaConv
225
ref
263
ref
225
ref
1001
ref
225
ref
2165
ref
6138
remove
assume
sym
3985
remove
assume
sym
deductAntisym
absThm
appThm
absThm
appThm
absThm
appThm
3995
remove
eqMp
nil
110
ref
68
ref
6145
ref
appTerm
nil
cons
cons
111
ref
6146
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
175
ref
subst
proveHyp
261
ref
262
ref
6145
remove
nil
cons
cons
3024
ref
cons
nil
cons
cons
205
ref
subst
eqMp
eqMp
nil
110
ref
6144
remove
nil
cons
cons
111
ref
6143
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
175
ref
subst
proveHyp
261
ref
262
ref
6142
remove
nil
cons
cons
2495
ref
cons
nil
cons
cons
205
ref
subst
eqMp
eqMp
nil
110
ref
6141
remove
nil
cons
cons
111
ref
6140
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
175
ref
subst
proveHyp
261
ref
262
ref
6139
remove
nil
cons
cons
5973
ref
cons
nil
cons
cons
205
ref
subst
eqMp
eqMp
6147
def
subst
nil
139
ref
5975
ref
6129
ref
appTerm
6148
def
nil
cons
cons
nil
cons
nil
cons
cons
146
ref
subst
36
ref
"_32168"
2
ref
var
6149
def
5975
remove
6149
remove
varTerm
appTerm
absTerm
6150
def
5983
ref
appTerm
6151
def
appTerm
refl
6150
ref
6129
ref
appTerm
betaConv
appThm
155
ref
6151
remove
betaConv
appThm
6148
ref
refl
appThm
trans
6150
remove
refl
6130
remove
assume
6152
def
appThm
eqMp
6007
remove
eqMp
eqMp
trans
appThm
6153
def
nil
263
ref
6136
ref
cons
nil
cons
6154
def
nil
cons
cons
6155
def
6147
ref
subst
nil
139
ref
532
ref
6129
ref
appTerm
1963
ref
appTerm
3983
ref
appTerm
6156
def
nil
cons
cons
nil
cons
nil
cons
cons
146
ref
subst
36
ref
"_32170"
2
ref
var
6157
def
532
ref
6157
remove
varTerm
appTerm
1963
ref
appTerm
3983
ref
appTerm
absTerm
6158
def
5983
ref
appTerm
6159
def
appTerm
refl
6158
ref
6129
ref
appTerm
betaConv
appThm
155
ref
6159
remove
betaConv
appThm
6156
remove
refl
appThm
trans
6158
remove
refl
6152
ref
appThm
eqMp
5990
remove
assume
eqMp
eqMp
trans
appThm
528
ref
trans
sym
145
ref
eqMp
eqMp
261
ref
262
ref
5959
ref
nil
cons
cons
6160
def
6154
ref
cons
nil
cons
cons
724
ref
subst
proveHyp
eqMp
nil
151
ref
6131
remove
cons
6161
def
153
ref
5980
remove
cons
nil
cons
6162
def
cons
nil
cons
cons
167
ref
subst
deductAntisym
eqMp
eqMp
eqMp
nil
151
ref
6125
remove
cons
6163
def
6162
ref
cons
nil
cons
cons
167
ref
subst
deductAntisym
eqMp
eqMp
absThm
eqMp
nil
110
ref
68
ref
"x'"
11
ref
var
6164
def
71
ref
6119
ref
6164
ref
varTerm
6165
def
appTerm
appTerm
6166
def
5960
ref
appTerm
absTerm
appTerm
nil
cons
cons
111
ref
71
ref
6120
remove
appTerm
6167
def
5960
ref
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
175
ref
subst
proveHyp
261
ref
262
ref
6119
remove
nil
cons
cons
6168
def
6162
ref
cons
nil
cons
cons
811
ref
subst
eqMp
eqMp
proveHyp
proveHyp
proveHyp
eqMp
nil
151
ref
5991
remove
cons
6162
ref
cons
nil
cons
cons
167
ref
subst
deductAntisym
eqMp
eqMp
eqMp
nil
151
ref
5986
remove
cons
6162
ref
cons
nil
cons
cons
167
ref
subst
deductAntisym
eqMp
eqMp
absThm
eqMp
nil
110
ref
99
ref
29
ref
71
ref
5977
ref
39
ref
appTerm
appTerm
5960
ref
appTerm
absTerm
appTerm
nil
cons
cons
111
ref
71
ref
5978
ref
appTerm
5960
ref
appTerm
nil
cons
6169
def
cons
nil
cons
cons
nil
cons
cons
175
ref
subst
proveHyp
207
ref
208
ref
5977
ref
nil
cons
cons
6170
def
6162
remove
cons
nil
cons
cons
811
ref
subst
eqMp
nil
110
ref
6169
remove
cons
111
ref
71
ref
5960
remove
appTerm
5978
ref
appTerm
nil
cons
cons
nil
cons
6171
def
cons
nil
cons
cons
194
ref
subst
proveHyp
nil
262
ref
5952
ref
71
ref
6134
ref
appTerm
5978
ref
appTerm
6172
def
absTerm
nil
cons
cons
nil
cons
nil
cons
cons
663
ref
subst
5952
ref
nil
139
ref
6172
remove
nil
cons
cons
nil
cons
nil
cons
cons
146
ref
subst
nil
110
ref
6134
ref
nil
cons
6173
def
cons
111
ref
5979
ref
cons
nil
cons
6174
def
cons
nil
cons
cons
6175
def
126
ref
subst
6175
remove
194
ref
subst
6135
remove
6134
remove
assume
eqMp
nil
110
ref
5958
remove
nil
cons
6176
def
cons
6174
remove
cons
nil
cons
cons
6177
def
175
ref
subst
proveHyp
6177
ref
126
ref
subst
6177
remove
194
ref
subst
nil
151
ref
5955
ref
nil
cons
6178
def
cons
6179
def
153
ref
5957
ref
nil
cons
6180
def
cons
nil
cons
cons
nil
cons
cons
6181
def
167
ref
subst
6181
remove
334
ref
subst
5977
remove
6129
ref
appTerm
betaConv
sym
216
ref
6137
ref
3994
ref
subst
nil
139
ref
6178
remove
cons
nil
cons
nil
cons
cons
146
ref
subst
5955
remove
assume
eqMp
trans
appThm
6182
def
6155
ref
3994
ref
subst
nil
139
ref
6180
remove
cons
nil
cons
nil
cons
cons
146
ref
subst
5957
remove
assume
eqMp
trans
appThm
528
ref
trans
sym
145
ref
eqMp
eqMp
207
ref
6170
remove
29
ref
6129
ref
nil
cons
cons
nil
cons
6183
def
cons
nil
cons
cons
724
ref
subst
proveHyp
proveHyp
proveHyp
eqMp
nil
151
ref
6176
remove
cons
153
ref
5979
remove
cons
nil
cons
6184
def
cons
nil
cons
cons
167
ref
subst
deductAntisym
eqMp
eqMp
eqMp
nil
151
ref
6173
remove
cons
6184
ref
cons
nil
cons
cons
167
ref
subst
deductAntisym
eqMp
eqMp
absThm
eqMp
nil
110
ref
68
ref
6164
ref
71
ref
5959
remove
6165
ref
appTerm
appTerm
5978
remove
appTerm
absTerm
appTerm
nil
cons
cons
6171
remove
cons
nil
cons
cons
175
ref
subst
proveHyp
261
ref
6160
remove
6184
remove
cons
nil
cons
cons
811
ref
subst
eqMp
eqMp
eqMp
eqMp
eqMp
absThm
eqMp
eqMp
absThm
eqMp
eqMp
absThm
eqMp
eqMp
absThm
eqMp
6185
def
nil
68
ref
5948
remove
appTerm
thm
nil
262
ref
227
ref
68
ref
263
ref
68
ref
1001
ref
68
ref
2165
ref
36
ref
892
ref
243
ref
appTerm
1151
ref
appTerm
1963
ref
appTerm
3983
ref
appTerm
6186
def
appTerm
"Hardware.majority3"
const
1946
ref
constTerm
6187
def
233
ref
appTerm
627
ref
appTerm
1002
ref
appTerm
2168
ref
appTerm
6188
def
appTerm
6189
def
absTerm
6190
def
appTerm
6191
def
absTerm
6192
def
appTerm
6193
def
absTerm
6194
def
appTerm
6195
def
absTerm
6196
def
nil
cons
cons
nil
cons
nil
cons
cons
663
ref
subst
227
ref
nil
139
ref
6195
remove
nil
cons
cons
nil
cons
nil
cons
cons
146
ref
subst
nil
262
ref
6194
remove
nil
cons
cons
nil
cons
nil
cons
cons
663
ref
subst
263
ref
nil
139
ref
6193
remove
nil
cons
cons
nil
cons
nil
cons
cons
146
ref
subst
nil
262
ref
6192
remove
nil
cons
cons
nil
cons
nil
cons
cons
663
ref
subst
1001
ref
nil
139
ref
6191
remove
nil
cons
cons
nil
cons
nil
cons
cons
146
ref
subst
nil
262
ref
6190
remove
nil
cons
cons
nil
cons
nil
cons
cons
663
ref
subst
2165
ref
nil
139
ref
6189
ref
nil
cons
cons
nil
cons
nil
cons
cons
146
ref
subst
155
ref
5950
ref
931
ref
subst
appThm
2165
ref
36
ref
6188
remove
appTerm
6197
def
1000
ref
5952
ref
1000
ref
"wy"
11
ref
var
6198
def
1000
ref
"xy"
11
ref
var
6199
def
5956
remove
49
ref
5953
remove
1002
ref
appTerm
6198
ref
varTerm
6200
def
appTerm
6201
def
appTerm
49
ref
2167
remove
6199
ref
varTerm
6202
def
appTerm
6203
def
appTerm
"Hardware.or3"
const
1946
ref
constTerm
6204
def
5954
ref
appTerm
6200
ref
appTerm
6202
ref
appTerm
2168
ref
appTerm
6205
def
appTerm
6206
def
appTerm
6207
def
appTerm
6208
def
absTerm
6209
def
appTerm
6210
def
absTerm
6211
def
appTerm
6212
def
absTerm
6213
def
appTerm
6214
def
appTerm
absTerm
6215
def
2168
ref
appTerm
6216
def
betaConv
1001
ref
68
ref
6215
ref
appTerm
6217
def
absTerm
6218
def
1002
ref
appTerm
6219
def
betaConv
263
ref
68
ref
6218
ref
appTerm
6220
def
absTerm
6221
def
627
ref
appTerm
6222
def
betaConv
227
ref
68
ref
6221
ref
appTerm
6223
def
absTerm
6224
def
233
ref
appTerm
6225
def
betaConv
nil
68
ref
6224
ref
appTerm
6226
def
axiom
nil
110
ref
6226
remove
nil
cons
cons
111
ref
6225
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
175
ref
subst
proveHyp
261
ref
262
ref
6224
remove
nil
cons
cons
265
ref
cons
nil
cons
cons
205
ref
subst
eqMp
eqMp
nil
110
ref
6223
remove
nil
cons
cons
111
ref
6222
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
175
ref
subst
proveHyp
261
ref
262
ref
6221
remove
nil
cons
cons
3024
ref
cons
nil
cons
cons
205
ref
subst
eqMp
eqMp
nil
110
ref
6220
remove
nil
cons
cons
111
ref
6219
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
175
ref
subst
proveHyp
261
ref
262
ref
6218
remove
nil
cons
cons
2495
ref
cons
nil
cons
cons
205
ref
subst
eqMp
eqMp
nil
110
ref
6217
remove
nil
cons
cons
111
ref
6216
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
175
ref
subst
proveHyp
261
ref
262
ref
6215
remove
nil
cons
cons
5973
ref
cons
nil
cons
cons
205
ref
subst
eqMp
eqMp
appThm
sym
nil
110
ref
725
ref
863
ref
725
ref
894
ref
725
ref
895
ref
5976
remove
49
ref
5974
remove
1963
ref
appTerm
6227
def
897
ref
appTerm
appTerm
6228
def
49
ref
3982
ref
902
ref
appTerm
appTerm
6229
def
908
ref
3983
ref
appTerm
appTerm
appTerm
appTerm
absTerm
appTerm
absTerm
appTerm
absTerm
6230
def
appTerm
6231
def
nil
cons
6232
def
cons
111
ref
6214
ref
nil
cons
6233
def
cons
nil
cons
6234
def
cons
nil
cons
cons
335
ref
subst
nil
208
ref
5982
ref
71
ref
6230
ref
5983
ref
appTerm
6235
def
appTerm
6214
ref
appTerm
6236
def
absTerm
nil
cons
cons
nil
cons
nil
cons
cons
643
ref
subst
5982
ref
nil
139
ref
6236
remove
nil
cons
cons
nil
cons
nil
cons
cons
146
ref
subst
nil
110
ref
6235
ref
nil
cons
6237
def
cons
6234
ref
cons
nil
cons
cons
6238
def
126
ref
subst
6238
remove
194
ref
subst
6235
ref
betaConv
6235
remove
assume
eqMp
nil
110
ref
725
ref
894
ref
725
ref
895
ref
5989
ref
6228
ref
6229
ref
905
ref
5983
ref
appTerm
6239
def
897
ref
appTerm
902
ref
appTerm
3983
ref
appTerm
appTerm
appTerm
appTerm
absTerm
appTerm
absTerm
6240
def
appTerm
6241
def
nil
cons
cons
6234
ref
cons
nil
cons
cons
175
ref
subst
proveHyp
nil
208
ref
"bwy"
2
ref
var
6242
def
71
ref
6240
ref
6242
ref
varTerm
6243
def
appTerm
6244
def
appTerm
6214
ref
appTerm
6245
def
absTerm
nil
cons
cons
nil
cons
nil
cons
cons
643
ref
subst
6242
remove
nil
139
ref
6245
remove
nil
cons
cons
nil
cons
nil
cons
cons
146
ref
subst
nil
110
ref
6244
ref
nil
cons
6246
def
cons
6234
ref
cons
nil
cons
cons
6247
def
126
ref
subst
6247
remove
194
ref
subst
6244
ref
betaConv
6244
remove
assume
eqMp
nil
110
ref
725
ref
895
ref
5989
ref
49
ref
6227
ref
6243
ref
appTerm
6248
def
appTerm
6249
def
6229
ref
6239
remove
6243
ref
appTerm
6250
def
902
ref
appTerm
3983
ref
appTerm
appTerm
appTerm
appTerm
absTerm
6251
def
appTerm
6252
def
nil
cons
cons
6234
ref
cons
nil
cons
cons
175
ref
subst
proveHyp
nil
208
ref
"bxy"
2
ref
var
6253
def
71
ref
6251
ref
6253
ref
varTerm
6254
def
appTerm
6255
def
appTerm
6214
ref
appTerm
6256
def
absTerm
nil
cons
cons
nil
cons
nil
cons
cons
643
ref
subst
6253
remove
nil
139
ref
6256
remove
nil
cons
cons
nil
cons
nil
cons
cons
146
ref
subst
nil
110
ref
6255
ref
nil
cons
6257
def
cons
6234
ref
cons
nil
cons
cons
6258
def
126
ref
subst
6258
remove
194
ref
subst
6255
ref
betaConv
6255
remove
assume
eqMp
nil
110
ref
5989
remove
6249
remove
49
ref
3982
ref
6254
ref
appTerm
6259
def
appTerm
6250
remove
6254
ref
appTerm
3983
ref
appTerm
6260
def
appTerm
6261
def
appTerm
6262
def
appTerm
nil
cons
6263
def
cons
6234
ref
cons
nil
cons
cons
6264
def
175
ref
subst
proveHyp
6264
ref
126
ref
subst
6264
remove
194
ref
subst
nil
5994
remove
153
ref
6262
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
6265
def
167
ref
subst
6265
remove
334
ref
subst
nil
151
ref
6248
ref
nil
cons
6266
def
cons
153
ref
6261
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
6267
def
167
ref
subst
6267
remove
334
ref
subst
nil
151
ref
6259
ref
nil
cons
6268
def
cons
153
ref
6260
ref
nil
cons
cons
nil
cons
cons
nil
cons
cons
6269
def
167
ref
subst
6269
remove
334
ref
subst
6114
remove
6117
ref
nil
6121
ref
6234
ref
cons
nil
cons
cons
175
ref
subst
proveHyp
nil
262
ref
5952
ref
6123
ref
6214
ref
appTerm
6270
def
absTerm
nil
cons
cons
nil
cons
nil
cons
cons
663
ref
subst
5952
ref
nil
139
ref
6270
remove
nil
cons
cons
nil
cons
nil
cons
cons
146
ref
subst
nil
6126
ref
6234
ref
cons
nil
cons
cons
6271
def
126
ref
subst
6271
remove
194
ref
subst
6128
ref
nil
6132
ref
6234
ref
cons
nil
cons
cons
6272
def
175
ref
subst
proveHyp
6272
ref
126
ref
subst
6272
remove
194
ref
subst
29
ref
725
ref
26
ref
49
ref
901
ref
6243
ref
appTerm
appTerm
2135
ref
appTerm
absTerm
appTerm
absTerm
6273
def
243
ref
appTerm
betaConv
sym
26
ref
49
ref
6004
remove
6243
ref
appTerm
appTerm
1158
remove
appTerm
absTerm
6274
def
1963
ref
appTerm
betaConv
sym
216
ref
nil
139
ref
6266
remove
cons
nil
cons
nil
cons
cons
146
ref
subst
6248
remove
assume
6275
def
eqMp
appThm
1163
remove
1234
ref
appThm
1426
ref
trans
appThm
528
ref
trans
sym
145
ref
eqMp
eqMp
207
ref
208
ref
6274
remove
nil
cons
cons
29
ref
2462
remove
cons
nil
cons
6276
def
cons
nil
cons
cons
724
ref
subst
proveHyp
eqMp
207
ref
208
ref
6273
ref
nil
cons
cons
1154
ref
cons
nil
cons
cons
724
ref
subst
proveHyp
nil
110
ref
725
ref
6273
remove
appTerm
nil
cons
cons
111
ref
52
ref
54
ref
6243
ref
appTerm
appTerm
240
ref
appTerm
6277
def
nil
cons
cons
nil
cons
cons
nil
cons
cons
175
ref
subst
proveHyp
nil
270
ref
542
ref
6243
ref
nil
cons
6278
def
cons
nil
cons
cons
nil
cons
cons
6057
ref
subst
eqMp
nil
29
ref
6278
remove
cons
nil
cons
nil
cons
cons
6116
ref
subst
6277
remove
assume
eqMp
nil
110
ref
1000
ref
227
ref
278
ref
6243
ref
appTerm
6279
def
243
ref
appTerm
absTerm
6280
def
appTerm
6281
def
nil
cons
cons
6234
ref
cons
nil
cons
cons
175
ref
subst
proveHyp
nil
262
ref
6198
ref
71
ref
6280
ref
6200
ref
appTerm
6282
def
appTerm
6214
ref
appTerm
6283
def
absTerm
nil
cons
cons
nil
cons
nil
cons
cons
663
ref
subst
6198
ref
nil
139
ref
6283
remove
nil
cons
cons
nil
cons
nil
cons
cons
146
ref
subst
nil
110
ref
6282
ref
nil
cons
6284
def
cons
6234
ref
cons
nil
cons
cons
6285
def
126
ref
subst
6285
remove
194
ref
subst
6282
ref
betaConv
6282
remove
assume
eqMp
nil
110
ref
6279
remove
242
ref
6200
ref
appTerm
6286
def
appTerm
6287
def
nil
cons
6288
def
cons
6234
ref
cons
nil
cons
cons
6289
def
175
ref
subst
proveHyp
6289
ref
126
ref
subst
6289
remove
194
ref
subst
29
ref
725
ref
26
ref
49
ref
901
ref
6254
ref
appTerm
appTerm
2135
remove
appTerm
absTerm
appTerm
absTerm
6290
def
1151
ref
appTerm
betaConv
sym
26
ref
49
ref
3981
remove
41
ref
appTerm
6254
ref
appTerm
appTerm
52
ref
54
ref
1151
ref
appTerm
appTerm
240
ref
appTerm
appTerm
absTerm
6291
def
1963
ref
appTerm
betaConv
sym
216
ref
nil
139
ref
6268
remove
cons
nil
cons
nil
cons
cons
146
ref
subst
6259
remove
assume
6292
def
eqMp
appThm
1168
remove
1234
remove
appThm
1426
remove
trans
appThm
528
ref
trans
sym
145
ref
eqMp
eqMp
207
ref
208
ref
6291
remove
nil
cons
cons
6276
remove
cons
nil
cons
cons
724
ref
subst
proveHyp
eqMp
207
ref
208
ref
6290
ref
nil
cons
cons
6008
ref
cons
nil
cons
cons
724
ref
subst
proveHyp
nil
110
ref
725
ref
6290
remove
appTerm
nil
cons
cons
111
ref
52
ref
54
ref
6254
ref
appTerm
appTerm
240
ref
appTerm
6293
def
nil
cons
cons
nil
cons
cons
nil
cons
cons
175
ref
subst
proveHyp
nil
270
ref
542
ref
6254
ref
nil
cons
6294
def
cons
nil
cons
cons
nil
cons
cons
6057
ref
subst
eqMp
nil
29
ref
6294
remove
cons
nil
cons
nil
cons
cons
6116
remove
subst
6293
remove
assume
eqMp
nil
110
ref
1000
ref
227
ref
278
remove
6254
ref
appTerm
6295
def
243
ref
appTerm
absTerm
6296
def
appTerm
6297
def
nil
cons
cons
6234
ref
cons
nil
cons
cons
175
ref
subst
proveHyp
nil
262
ref
6199
ref
71
ref
6296
ref
6202
ref
appTerm
6298
def
appTerm
6214
ref
appTerm
6299
def
absTerm
nil
cons
cons
nil
cons
nil
cons
cons
663
ref
subst
6199
ref
nil
139
ref
6299
remove
nil
cons
cons
nil
cons
nil
cons
cons
146
ref
subst
nil
110
ref
6298
ref
nil
cons
6300
def
cons
6234
ref
cons
nil
cons
cons
6301
def
126
ref
subst
6301
remove
194
ref
subst
6298
ref
betaConv
6298
remove
assume
eqMp
nil
110
ref
6295
remove
242
ref
6202
ref
appTerm
6302
def
appTerm
6303
def
nil
cons
6304
def
cons
6234
remove
cons
nil
cons
cons
6305
def
175
ref
subst
proveHyp
6305
ref
126
ref
subst
6305
remove
194
ref
subst
6213
ref
5954
ref
appTerm
6306
def
betaConv
6307
def
sym
6211
ref
6200
ref
appTerm
6308
def
betaConv
6309
def
sym
6209
ref
6202
ref
appTerm
6310
def
betaConv
6311
def
sym
6153
remove
216
ref
nil
2165
ref
6200
remove
nil
cons
6312
def
cons
265
ref
cons
nil
cons
cons
6313
def
6147
ref
subst
nil
139
ref
6227
ref
6286
ref
appTerm
6314
def
nil
cons
cons
nil
cons
nil
cons
cons
146
ref
subst
36
ref
"_32325"
2
ref
var
6315
def
6227
remove
6315
remove
varTerm
appTerm
absTerm
6316
def
6243
ref
appTerm
6317
def
appTerm
refl
6316
ref
6286
ref
appTerm
betaConv
appThm
155
ref
6317
remove
betaConv
appThm
6314
ref
refl
appThm
trans
6316
remove
refl
6287
remove
assume
6318
def
appThm
eqMp
6275
remove
eqMp
eqMp
trans
appThm
216
ref
nil
2165
ref
6202
remove
nil
cons
6319
def
cons
nil
cons
nil
cons
cons
6320
def
6147
remove
subst
nil
139
ref
3982
ref
6302
ref
appTerm
6321
def
nil
cons
cons
nil
cons
nil
cons
cons
146
ref
subst
36
ref
"_32337"
2
ref
var
6322
def
3982
remove
6322
remove
varTerm
appTerm
absTerm
6323
def
6254
ref
appTerm
6324
def
appTerm
refl
6323
ref
6302
ref
appTerm
betaConv
appThm
155
ref
6324
remove
betaConv
appThm
6321
remove
refl
appThm
trans
6323
remove
refl
6303
remove
assume
6325
def
appThm
eqMp
6292
remove
eqMp
eqMp
trans
appThm
nil
1001
ref
6319
ref
cons
263
ref
6312
remove
cons
6326
def
227
ref
6136
remove
cons
nil
cons
cons
cons
nil
cons
cons
6327
def
2165
ref
36
ref
6204
ref
233
ref
appTerm
627
ref
appTerm
1002
ref
appTerm
2168
ref
appTerm
6328
def
appTerm
6329
def
905
ref
243
ref
appTerm
1151
ref
appTerm
1963
ref
appTerm
3983
ref
appTerm
6330
def
appTerm
6331
def
absTerm
6332
def
2168
ref
appTerm
6333
def
betaConv
1001
ref
68
ref
6332
ref
appTerm
6334
def
absTerm
6335
def
1002
ref
appTerm
6336
def
betaConv
263
ref
68
ref
6335
ref
appTerm
6337
def
absTerm
6338
def
627
ref
appTerm
6339
def
betaConv
227
ref
68
ref
6338
ref
appTerm
6340
def
absTerm
6341
def
233
ref
appTerm
6342
def
betaConv
225
ref
227
ref
225
ref
263
ref
225
ref
1001
ref
225
ref
2165
ref
6331
remove
assume
sym
36
ref
6330
remove
appTerm
6328
remove
appTerm
6343
def
assume
sym
deductAntisym
absThm
appThm
absThm
appThm
absThm
appThm
absThm
appThm
nil
262
ref
227
ref
68
ref
263
ref
68
ref
1001
ref
68
ref
2165
ref
6343
ref
absTerm
6344
def
appTerm
6345
def
absTerm
6346
def
appTerm
6347
def
absTerm
6348
def
appTerm
6349
def
absTerm
6350
def
nil
cons
cons
nil
cons
nil
cons
cons
663
ref
subst
227
ref
nil
139
ref
6349
remove
nil
cons
cons
nil
cons
nil
cons
cons
146
ref
subst
nil
262
ref
6348
remove
nil
cons
cons
nil
cons
nil
cons
cons
663
ref
subst
263
ref
nil
139
ref
6347
remove
nil
cons
cons
nil
cons
nil
cons
cons
146
ref
subst
nil
262
ref
6346
remove
nil
cons
cons
nil
cons
nil
cons
cons
663
ref
subst
1001
ref
nil
139
ref
6345
remove
nil
cons
cons
nil
cons
nil
cons
cons
146
ref
subst
nil
262
ref
6344
remove
nil
cons
cons
nil
cons
nil
cons
cons
663
ref
subst
2165
ref
nil
139
ref
6343
remove
nil
cons
cons
nil
cons
nil
cons
cons
146
ref
subst
155
ref
5950
ref
964
ref
subst
appThm
2165
ref
6329
remove
1000
ref
5952
ref
49
ref
607
ref
233
ref
appTerm
627
ref
appTerm
5954
ref
appTerm
6351
def
appTerm
607
ref
5954
ref
appTerm
1002
ref
appTerm
2168
ref
appTerm
6352
def
appTerm
6353
def
absTerm
6354
def
appTerm
6355
def
appTerm
absTerm
6356
def
2168
ref
appTerm
6357
def
betaConv
1001
ref
68
ref
6356
ref
appTerm
6358
def
absTerm
6359
def
1002
ref
appTerm
6360
def
betaConv
263
ref
68
ref
6359
ref
appTerm
6361
def
absTerm
6362
def
627
ref
appTerm
6363
def
betaConv
227
ref
68
ref
6362
ref
appTerm
6364
def
absTerm
6365
def
233
ref
appTerm
6366
def
betaConv
nil
68
ref
6365
ref
appTerm
6367
def
axiom
nil
110
ref
6367
remove
nil
cons
cons
111
ref
6366
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
175
ref
subst
proveHyp
261
ref
262
ref
6365
remove
nil
cons
cons
265
ref
cons
nil
cons
cons
205
ref
subst
eqMp
eqMp
nil
110
ref
6364
remove
nil
cons
cons
111
ref
6363
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
175
ref
subst
proveHyp
261
ref
262
ref
6362
remove
nil
cons
cons
3024
ref
cons
nil
cons
cons
205
ref
subst
eqMp
eqMp
nil
110
ref
6361
remove
nil
cons
cons
111
ref
6360
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
175
ref
subst
proveHyp
261
ref
262
ref
6359
remove
nil
cons
cons
2495
ref
cons
nil
cons
cons
205
ref
subst
eqMp
eqMp
nil
110
ref
6358
remove
nil
cons
cons
111
ref
6357
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
175
ref
subst
proveHyp
261
ref
262
ref
6356
remove
nil
cons
cons
5973
ref
cons
nil
cons
cons
205
ref
subst
eqMp
eqMp
appThm
sym
nil
110
ref
725
ref
863
ref
49
ref
606
ref
243
ref
appTerm
6368
def
1151
ref
appTerm
6369
def
866
ref
appTerm
appTerm
947
ref
1963
ref
appTerm
3983
ref
appTerm
appTerm
absTerm
6370
def
appTerm
6371
def
nil
cons
6372
def
cons
111
ref
6355
ref
nil
cons
6373
def
cons
nil
cons
6374
def
cons
nil
cons
cons
335
ref
subst
nil
208
ref
5982
ref
71
ref
6370
ref
5983
ref
appTerm
6375
def
appTerm
6355
ref
appTerm
6376
def
absTerm
nil
cons
cons
nil
cons
nil
cons
cons
643
ref
subst
5982
ref
nil
139
ref
6376
remove
nil
cons
cons
nil
cons
nil
cons
cons
146
ref
subst
nil
110
ref
6375
ref
nil
cons
6377
def
cons
6374
ref
cons
nil
cons
cons
6378
def
126
ref
subst
6378
remove
194
ref
subst
6375
ref
betaConv
6375
remove
assume
eqMp
nil
110
ref
49
ref
6369
ref
5983
ref
appTerm
6379
def
appTerm
606
ref
5983
ref
appTerm
1963
ref
appTerm
3983
ref
appTerm
6380
def
appTerm
nil
cons
6381
def
cons
6374
ref
cons
nil
cons
cons
6382
def
175
ref
subst
proveHyp
6382
ref
126
ref
subst
6382
remove
194
ref
subst
nil
151
ref
6379
ref
nil
cons
6383
def
cons
153
ref
6380
ref
nil
cons
cons
nil
cons
cons
nil
cons
cons
6384
def
167
ref
subst
6384
remove
334
ref
subst
6001
ref
29
ref
725
ref
26
ref
49
ref
2784
ref
5983
ref
appTerm
appTerm
6002
ref
appTerm
absTerm
appTerm
absTerm
6385
def
243
ref
appTerm
betaConv
sym
26
ref
49
ref
6368
remove
41
ref
appTerm
5983
ref
appTerm
appTerm
6005
ref
appTerm
absTerm
6386
def
1151
ref
appTerm
betaConv
sym
216
ref
nil
139
ref
6383
remove
cons
nil
cons
nil
cons
cons
146
ref
subst
6379
remove
assume
6387
def
eqMp
appThm
1921
ref
appThm
528
ref
trans
sym
145
ref
eqMp
eqMp
207
ref
208
ref
6386
remove
nil
cons
cons
6008
ref
cons
nil
cons
cons
724
ref
subst
proveHyp
eqMp
207
ref
208
ref
6385
ref
nil
cons
cons
1154
ref
cons
nil
cons
cons
724
ref
subst
proveHyp
nil
110
ref
725
ref
6385
remove
appTerm
nil
cons
cons
6010
ref
cons
nil
cons
cons
175
ref
subst
proveHyp
6012
ref
48
ref
71
ref
725
ref
29
ref
725
ref
26
ref
5844
ref
absTerm
6388
def
appTerm
6389
def
absTerm
6390
def
appTerm
6391
def
appTerm
6392
def
550
ref
appTerm
6393
def
absTerm
6394
def
57
ref
appTerm
6395
def
betaConv
542
ref
65
ref
6394
ref
appTerm
6396
def
absTerm
6397
def
547
ref
appTerm
6398
def
betaConv
5861
ref
nil
110
ref
5862
ref
nil
cons
6399
def
cons
6400
def
111
ref
99
ref
6397
ref
appTerm
nil
cons
6401
def
cons
nil
cons
cons
nil
cons
cons
6402
def
175
ref
subst
proveHyp
6402
ref
126
ref
subst
6402
remove
194
ref
subst
nil
208
ref
6397
remove
nil
cons
cons
6403
def
nil
cons
nil
cons
cons
643
ref
subst
542
ref
nil
139
ref
6396
remove
nil
cons
6404
def
cons
nil
cons
nil
cons
cons
146
ref
subst
nil
257
ref
6394
remove
nil
cons
cons
6405
def
nil
cons
nil
cons
cons
662
ref
subst
48
ref
nil
139
ref
6393
remove
nil
cons
cons
nil
cons
nil
cons
cons
146
ref
subst
nil
110
ref
6391
remove
nil
cons
6406
def
cons
6407
def
5807
ref
cons
nil
cons
cons
6408
def
126
ref
subst
6408
ref
194
ref
subst
nil
6400
ref
5807
ref
cons
nil
cons
cons
6409
def
175
ref
subst
nil
6407
remove
111
ref
71
ref
5862
remove
appTerm
550
ref
appTerm
6410
def
nil
cons
6411
def
cons
nil
cons
6412
def
cons
nil
cons
cons
175
ref
subst
nil
208
ref
29
ref
71
ref
6390
ref
39
ref
appTerm
6413
def
appTerm
6410
ref
appTerm
6414
def
absTerm
6415
def
nil
cons
cons
nil
cons
nil
cons
cons
643
ref
subst
29
ref
nil
139
ref
6414
remove
nil
cons
cons
nil
cons
nil
cons
cons
146
ref
subst
nil
110
ref
6413
ref
nil
cons
6416
def
cons
6412
ref
cons
nil
cons
cons
6417
def
126
ref
subst
6417
remove
194
ref
subst
6413
ref
betaConv
6418
def
6413
remove
assume
eqMp
nil
110
ref
6389
ref
nil
cons
cons
6412
ref
cons
nil
cons
cons
175
ref
subst
proveHyp
nil
208
ref
26
ref
71
ref
6388
ref
41
ref
appTerm
6419
def
appTerm
6410
ref
appTerm
6420
def
absTerm
nil
cons
cons
nil
cons
nil
cons
cons
643
ref
subst
26
ref
nil
139
ref
6420
remove
nil
cons
cons
nil
cons
nil
cons
cons
146
ref
subst
nil
110
ref
6419
ref
nil
cons
6421
def
cons
6412
ref
cons
nil
cons
cons
6422
def
126
ref
subst
6422
remove
194
ref
subst
6419
ref
betaConv
6423
def
6419
remove
assume
eqMp
nil
110
ref
5844
remove
nil
cons
6424
def
cons
6425
def
6412
remove
cons
nil
cons
cons
6426
def
175
ref
subst
proveHyp
6426
ref
126
ref
subst
6426
remove
194
ref
subst
6409
ref
126
ref
subst
6409
remove
194
ref
subst
nil
6425
remove
5807
ref
cons
nil
cons
cons
175
ref
subst
5846
remove
57
ref
appTerm
6427
def
betaConv
5848
remove
547
ref
appTerm
6428
def
betaConv
5850
remove
41
ref
appTerm
6429
def
betaConv
5852
ref
39
ref
appTerm
6430
def
betaConv
nil
6400
ref
111
ref
6430
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
175
ref
subst
207
ref
5853
ref
210
ref
cons
nil
cons
cons
205
ref
subst
eqMp
eqMp
nil
110
ref
5854
remove
cons
111
ref
6429
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
175
ref
subst
proveHyp
207
ref
5855
remove
213
ref
cons
nil
cons
cons
205
ref
subst
eqMp
eqMp
nil
110
ref
5856
remove
cons
111
ref
6428
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
175
ref
subst
proveHyp
207
ref
5857
remove
595
ref
cons
nil
cons
cons
205
ref
subst
eqMp
eqMp
nil
110
ref
5858
remove
cons
111
ref
6427
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
175
ref
subst
proveHyp
256
ref
5859
remove
293
ref
cons
nil
cons
cons
205
ref
subst
eqMp
eqMp
eqMp
eqMp
nil
151
ref
6399
remove
cons
6431
def
5834
ref
cons
nil
cons
cons
167
ref
subst
deductAntisym
eqMp
eqMp
nil
151
ref
6424
remove
cons
153
ref
6411
remove
cons
nil
cons
6432
def
cons
nil
cons
cons
167
ref
subst
deductAntisym
eqMp
eqMp
eqMp
nil
151
ref
6421
remove
cons
6432
ref
cons
nil
cons
cons
167
ref
subst
deductAntisym
eqMp
eqMp
absThm
eqMp
nil
110
ref
99
ref
1892
ref
71
ref
6388
ref
1893
ref
appTerm
appTerm
6410
ref
appTerm
absTerm
appTerm
nil
cons
cons
111
ref
71
ref
6389
remove
appTerm
6410
ref
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
175
ref
subst
proveHyp
207
ref
208
ref
6388
remove
nil
cons
cons
6433
def
6432
ref
cons
nil
cons
cons
811
ref
subst
eqMp
eqMp
eqMp
nil
151
ref
6416
remove
cons
6432
ref
cons
nil
cons
cons
167
ref
subst
deductAntisym
eqMp
eqMp
absThm
eqMp
nil
110
ref
99
ref
6415
remove
appTerm
nil
cons
cons
111
ref
6392
remove
6410
remove
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
175
ref
subst
proveHyp
207
ref
208
ref
6390
remove
nil
cons
cons
6434
def
6432
remove
cons
nil
cons
cons
811
ref
subst
eqMp
eqMp
eqMp
eqMp
nil
151
ref
6406
remove
cons
5834
ref
cons
nil
cons
cons
167
ref
subst
deductAntisym
eqMp
eqMp
absThm
eqMp
eqMp
absThm
eqMp
eqMp
nil
6431
remove
153
ref
6401
ref
cons
nil
cons
cons
nil
cons
cons
167
ref
subst
deductAntisym
eqMp
eqMp
nil
110
ref
6401
remove
cons
111
ref
6398
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
175
ref
subst
proveHyp
207
ref
6403
remove
595
ref
cons
nil
cons
cons
205
ref
subst
eqMp
eqMp
nil
110
ref
6404
remove
cons
111
ref
6395
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
175
ref
subst
proveHyp
256
ref
6405
remove
293
ref
cons
nil
cons
cons
205
ref
subst
eqMp
eqMp
6435
def
subst
eqMp
6058
ref
proveHyp
1162
ref
eqMp
eqMp
6059
ref
proveHyp
6061
ref
proveHyp
6113
ref
eqMp
6117
ref
nil
6121
ref
6374
ref
cons
nil
cons
cons
175
ref
subst
proveHyp
nil
262
ref
5952
ref
6123
ref
6355
ref
appTerm
6436
def
absTerm
nil
cons
cons
nil
cons
nil
cons
cons
663
ref
subst
5952
ref
nil
139
ref
6436
remove
nil
cons
cons
nil
cons
nil
cons
cons
146
ref
subst
nil
6126
ref
6374
ref
cons
nil
cons
cons
6437
def
126
ref
subst
6437
remove
194
ref
subst
6128
ref
nil
6132
ref
6374
remove
cons
nil
cons
cons
6438
def
175
ref
subst
proveHyp
6438
ref
126
ref
subst
6438
remove
194
ref
subst
6354
ref
5954
ref
appTerm
6439
def
betaConv
6440
def
sym
216
ref
6137
ref
2165
ref
36
ref
2779
remove
appTerm
3996
remove
appTerm
6441
def
absTerm
6442
def
2168
ref
appTerm
6443
def
betaConv
1001
ref
68
ref
6442
ref
appTerm
6444
def
absTerm
6445
def
1002
ref
appTerm
6446
def
betaConv
263
ref
68
ref
6445
ref
appTerm
6447
def
absTerm
6448
def
627
ref
appTerm
6449
def
betaConv
225
ref
263
ref
225
ref
1001
ref
225
ref
2165
ref
6441
remove
assume
sym
3997
remove
assume
sym
deductAntisym
absThm
appThm
absThm
appThm
absThm
appThm
4004
remove
eqMp
nil
110
ref
68
ref
6448
ref
appTerm
nil
cons
cons
111
ref
6449
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
175
ref
subst
proveHyp
261
ref
262
ref
6448
remove
nil
cons
cons
3024
ref
cons
nil
cons
cons
205
ref
subst
eqMp
eqMp
nil
110
ref
6447
remove
nil
cons
cons
111
ref
6446
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
175
ref
subst
proveHyp
261
ref
262
ref
6445
remove
nil
cons
cons
2495
ref
cons
nil
cons
cons
205
ref
subst
eqMp
eqMp
nil
110
ref
6444
remove
nil
cons
cons
111
ref
6443
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
175
ref
subst
proveHyp
261
ref
262
ref
6442
remove
nil
cons
cons
5973
ref
cons
nil
cons
cons
205
ref
subst
eqMp
eqMp
6450
def
subst
nil
139
ref
6369
ref
6129
ref
appTerm
6451
def
nil
cons
cons
nil
cons
nil
cons
cons
146
ref
subst
36
ref
"_32211"
2
ref
var
6452
def
6369
remove
6452
remove
varTerm
appTerm
absTerm
6453
def
5983
ref
appTerm
6454
def
appTerm
refl
6453
ref
6129
ref
appTerm
betaConv
appThm
155
ref
6454
remove
betaConv
appThm
6451
remove
refl
appThm
trans
6453
remove
refl
6152
ref
appThm
eqMp
6387
remove
eqMp
eqMp
trans
appThm
6155
ref
6450
remove
subst
nil
139
ref
606
ref
6129
ref
appTerm
1963
ref
appTerm
3983
ref
appTerm
6455
def
nil
cons
cons
nil
cons
nil
cons
cons
146
ref
subst
36
ref
"_32213"
2
ref
var
6456
def
606
ref
6456
remove
varTerm
appTerm
1963
ref
appTerm
3983
ref
appTerm
absTerm
6457
def
5983
ref
appTerm
6458
def
appTerm
refl
6457
ref
6129
ref
appTerm
betaConv
appThm
155
ref
6458
remove
betaConv
appThm
6455
remove
refl
appThm
trans
6457
remove
refl
6152
ref
appThm
eqMp
6380
remove
assume
eqMp
eqMp
trans
appThm
528
ref
trans
sym
145
ref
eqMp
eqMp
261
ref
262
ref
6354
ref
nil
cons
cons
6459
def
6154
ref
cons
nil
cons
cons
724
ref
subst
proveHyp
eqMp
nil
6161
ref
153
ref
6373
remove
cons
nil
cons
6460
def
cons
nil
cons
cons
167
ref
subst
deductAntisym
eqMp
eqMp
eqMp
nil
6163
ref
6460
ref
cons
nil
cons
cons
167
ref
subst
deductAntisym
eqMp
eqMp
absThm
eqMp
nil
110
ref
68
ref
6164
ref
6166
ref
6355
ref
appTerm
absTerm
appTerm
nil
cons
cons
111
ref
6167
ref
6355
ref
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
175
ref
subst
proveHyp
261
ref
6168
ref
6460
ref
cons
nil
cons
cons
811
ref
subst
eqMp
eqMp
proveHyp
proveHyp
proveHyp
eqMp
nil
151
ref
6381
remove
cons
6460
ref
cons
nil
cons
cons
167
ref
subst
deductAntisym
eqMp
eqMp
eqMp
nil
151
ref
6377
remove
cons
6460
ref
cons
nil
cons
cons
167
ref
subst
deductAntisym
eqMp
eqMp
absThm
eqMp
nil
110
ref
99
ref
29
ref
71
ref
6370
ref
39
ref
appTerm
appTerm
6355
ref
appTerm
absTerm
appTerm
nil
cons
cons
111
ref
71
ref
6371
ref
appTerm
6355
ref
appTerm
nil
cons
6461
def
cons
nil
cons
cons
nil
cons
cons
175
ref
subst
proveHyp
207
ref
208
ref
6370
ref
nil
cons
cons
6462
def
6460
remove
cons
nil
cons
cons
811
ref
subst
eqMp
nil
110
ref
6461
remove
cons
111
ref
71
ref
6355
remove
appTerm
6371
ref
appTerm
nil
cons
cons
nil
cons
6463
def
cons
nil
cons
cons
194
ref
subst
proveHyp
nil
262
ref
5952
ref
71
ref
6439
ref
appTerm
6371
ref
appTerm
6464
def
absTerm
nil
cons
cons
nil
cons
nil
cons
cons
663
ref
subst
5952
ref
nil
139
ref
6464
remove
nil
cons
cons
nil
cons
nil
cons
cons
146
ref
subst
nil
110
ref
6439
ref
nil
cons
6465
def
cons
111
ref
6372
ref
cons
nil
cons
6466
def
cons
nil
cons
cons
6467
def
126
ref
subst
6467
remove
194
ref
subst
6440
remove
6439
remove
assume
eqMp
nil
110
ref
6353
remove
nil
cons
6468
def
cons
6466
remove
cons
nil
cons
cons
6469
def
175
ref
subst
proveHyp
6469
ref
126
ref
subst
6469
remove
194
ref
subst
nil
151
ref
6351
ref
nil
cons
6470
def
cons
153
ref
6352
ref
nil
cons
6471
def
cons
nil
cons
cons
nil
cons
cons
6472
def
167
ref
subst
6472
remove
334
ref
subst
6370
remove
6129
ref
appTerm
betaConv
sym
216
ref
6137
ref
4003
ref
subst
nil
139
ref
6470
remove
cons
nil
cons
nil
cons
cons
146
ref
subst
6351
remove
assume
eqMp
trans
appThm
6155
ref
4003
remove
subst
nil
139
ref
6471
remove
cons
nil
cons
nil
cons
cons
146
ref
subst
6352
remove
assume
eqMp
trans
appThm
528
ref
trans
sym
145
ref
eqMp
eqMp
207
ref
6462
remove
6183
ref
cons
nil
cons
cons
724
ref
subst
proveHyp
proveHyp
proveHyp
eqMp
nil
151
ref
6468
remove
cons
153
ref
6372
remove
cons
nil
cons
6473
def
cons
nil
cons
cons
167
ref
subst
deductAntisym
eqMp
eqMp
eqMp
nil
151
ref
6465
remove
cons
6473
ref
cons
nil
cons
cons
167
ref
subst
deductAntisym
eqMp
eqMp
absThm
eqMp
nil
110
ref
68
ref
6164
ref
71
ref
6354
remove
6165
ref
appTerm
appTerm
6371
remove
appTerm
absTerm
appTerm
nil
cons
cons
6463
remove
cons
nil
cons
cons
175
ref
subst
proveHyp
261
ref
6459
remove
6473
remove
cons
nil
cons
cons
811
ref
subst
eqMp
eqMp
eqMp
eqMp
6474
def
eqMp
absThm
eqMp
eqMp
absThm
eqMp
eqMp
absThm
eqMp
eqMp
absThm
eqMp
6475
def
eqMp
nil
110
ref
68
ref
6341
ref
appTerm
nil
cons
cons
111
ref
6342
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
175
ref
subst
proveHyp
261
ref
262
ref
6341
remove
nil
cons
cons
265
ref
cons
nil
cons
cons
205
ref
subst
eqMp
eqMp
nil
110
ref
6340
remove
nil
cons
cons
111
ref
6339
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
175
ref
subst
proveHyp
261
ref
262
ref
6338
remove
nil
cons
cons
3024
ref
cons
nil
cons
cons
205
ref
subst
eqMp
eqMp
nil
110
ref
6337
remove
nil
cons
cons
111
ref
6336
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
175
ref
subst
proveHyp
261
ref
262
ref
6335
remove
nil
cons
cons
2495
ref
cons
nil
cons
cons
205
ref
subst
eqMp
eqMp
nil
110
ref
6334
remove
nil
cons
cons
111
ref
6333
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
175
ref
subst
proveHyp
261
ref
262
ref
6332
remove
nil
cons
cons
5973
ref
cons
nil
cons
cons
205
ref
subst
eqMp
eqMp
6476
def
subst
nil
139
ref
905
ref
6129
ref
appTerm
6477
def
6286
ref
appTerm
6478
def
6302
ref
appTerm
3983
ref
appTerm
6479
def
nil
cons
cons
nil
cons
nil
cons
cons
146
ref
subst
36
ref
"_32339"
2
ref
var
6480
def
6478
ref
6480
remove
varTerm
appTerm
3983
ref
appTerm
absTerm
6481
def
6254
ref
appTerm
6482
def
appTerm
refl
6481
ref
6302
ref
appTerm
betaConv
appThm
155
ref
6482
remove
betaConv
appThm
6479
remove
refl
appThm
trans
6481
remove
refl
6325
remove
appThm
eqMp
36
ref
"_32329"
2
ref
var
6483
def
6477
ref
6483
remove
varTerm
appTerm
6254
ref
appTerm
3983
ref
appTerm
absTerm
6484
def
6243
ref
appTerm
6485
def
appTerm
refl
6484
ref
6286
ref
appTerm
betaConv
appThm
155
ref
6485
remove
betaConv
appThm
6478
ref
6254
ref
appTerm
3983
ref
appTerm
refl
appThm
trans
6484
remove
refl
6318
remove
appThm
eqMp
36
ref
"_32319"
2
ref
var
6486
def
905
ref
6486
remove
varTerm
appTerm
6243
ref
appTerm
6254
ref
appTerm
3983
ref
appTerm
absTerm
6487
def
5983
ref
appTerm
6488
def
appTerm
refl
6487
ref
6129
ref
appTerm
betaConv
appThm
155
ref
6488
remove
betaConv
appThm
6477
ref
6243
remove
appTerm
6254
remove
appTerm
3983
ref
appTerm
refl
appThm
trans
6487
remove
refl
6152
ref
appThm
eqMp
6260
remove
assume
eqMp
eqMp
eqMp
eqMp
trans
appThm
528
ref
trans
appThm
528
ref
trans
appThm
528
ref
trans
sym
145
ref
eqMp
eqMp
261
ref
262
ref
6209
ref
nil
cons
cons
6489
def
263
ref
6319
remove
cons
nil
cons
cons
nil
cons
cons
724
ref
subst
proveHyp
eqMp
261
ref
262
ref
6211
ref
nil
cons
cons
6490
def
6326
remove
nil
cons
cons
nil
cons
cons
724
ref
subst
proveHyp
eqMp
261
ref
262
ref
6213
ref
nil
cons
cons
6491
def
6154
ref
cons
nil
cons
cons
724
ref
subst
proveHyp
eqMp
nil
151
ref
6304
remove
cons
153
ref
6233
remove
cons
nil
cons
6492
def
cons
nil
cons
cons
167
ref
subst
deductAntisym
eqMp
eqMp
eqMp
nil
151
ref
6300
remove
cons
6492
ref
cons
nil
cons
cons
167
ref
subst
deductAntisym
eqMp
eqMp
absThm
eqMp
nil
110
ref
68
ref
6164
ref
71
ref
6296
ref
6165
ref
appTerm
appTerm
6214
ref
appTerm
absTerm
appTerm
nil
cons
cons
111
ref
71
ref
6297
remove
appTerm
6214
ref
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
175
ref
subst
proveHyp
261
ref
262
ref
6296
remove
nil
cons
cons
6492
ref
cons
nil
cons
cons
811
ref
subst
eqMp
eqMp
proveHyp
eqMp
nil
151
ref
6288
remove
cons
6492
ref
cons
nil
cons
cons
167
ref
subst
deductAntisym
eqMp
eqMp
eqMp
nil
151
ref
6284
remove
cons
6492
ref
cons
nil
cons
cons
167
ref
subst
deductAntisym
eqMp
eqMp
absThm
eqMp
nil
110
ref
68
ref
6164
ref
71
ref
6280
ref
6165
ref
appTerm
appTerm
6214
ref
appTerm
absTerm
appTerm
nil
cons
cons
111
ref
71
ref
6281
remove
appTerm
6214
ref
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
175
ref
subst
proveHyp
261
ref
262
ref
6280
remove
nil
cons
cons
6492
ref
cons
nil
cons
cons
811
ref
subst
eqMp
eqMp
proveHyp
eqMp
nil
6161
ref
6492
ref
cons
nil
cons
cons
167
ref
subst
deductAntisym
eqMp
eqMp
eqMp
nil
6163
ref
6492
ref
cons
nil
cons
cons
167
ref
subst
deductAntisym
eqMp
eqMp
absThm
eqMp
nil
110
ref
68
ref
6164
ref
6166
ref
6214
ref
appTerm
absTerm
appTerm
nil
cons
cons
111
ref
6167
ref
6214
ref
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
175
ref
subst
proveHyp
261
ref
6168
ref
6492
ref
cons
nil
cons
cons
811
ref
subst
eqMp
eqMp
proveHyp
proveHyp
proveHyp
proveHyp
proveHyp
proveHyp
proveHyp
eqMp
nil
151
ref
6263
remove
cons
6492
ref
cons
nil
cons
cons
167
ref
subst
deductAntisym
eqMp
eqMp
eqMp
nil
151
ref
6257
remove
cons
6492
ref
cons
nil
cons
cons
167
ref
subst
deductAntisym
eqMp
eqMp
absThm
eqMp
nil
110
ref
99
ref
29
ref
71
ref
6251
ref
39
ref
appTerm
appTerm
6214
ref
appTerm
absTerm
appTerm
nil
cons
cons
111
ref
71
ref
6252
remove
appTerm
6214
ref
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
175
ref
subst
proveHyp
207
ref
208
ref
6251
remove
nil
cons
cons
6492
ref
cons
nil
cons
cons
811
ref
subst
eqMp
eqMp
eqMp
nil
151
ref
6246
remove
cons
6492
ref
cons
nil
cons
cons
167
ref
subst
deductAntisym
eqMp
eqMp
absThm
eqMp
nil
110
ref
99
ref
29
ref
71
ref
6240
ref
39
ref
appTerm
appTerm
6214
ref
appTerm
absTerm
appTerm
nil
cons
cons
111
ref
71
ref
6241
remove
appTerm
6214
ref
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
175
ref
subst
proveHyp
207
ref
208
ref
6240
remove
nil
cons
cons
6492
ref
cons
nil
cons
cons
811
ref
subst
eqMp
eqMp
eqMp
nil
151
ref
6237
remove
cons
6492
ref
cons
nil
cons
cons
167
ref
subst
deductAntisym
eqMp
eqMp
absThm
eqMp
nil
110
ref
99
ref
29
ref
71
ref
6230
ref
39
ref
appTerm
appTerm
6214
ref
appTerm
absTerm
appTerm
nil
cons
cons
111
ref
71
ref
6231
ref
appTerm
6214
ref
appTerm
nil
cons
6493
def
cons
nil
cons
cons
nil
cons
cons
175
ref
subst
proveHyp
207
ref
208
ref
6230
ref
nil
cons
cons
6494
def
6492
remove
cons
nil
cons
cons
811
ref
subst
eqMp
nil
110
ref
6493
remove
cons
111
ref
71
ref
6214
remove
appTerm
6231
ref
appTerm
nil
cons
cons
nil
cons
6495
def
cons
nil
cons
cons
194
ref
subst
proveHyp
nil
262
ref
5952
ref
71
ref
6306
ref
appTerm
6231
ref
appTerm
6496
def
absTerm
nil
cons
cons
nil
cons
nil
cons
cons
663
ref
subst
5952
ref
nil
139
ref
6496
remove
nil
cons
cons
nil
cons
nil
cons
cons
146
ref
subst
nil
110
ref
6306
ref
nil
cons
6497
def
cons
111
ref
6232
ref
cons
nil
cons
6498
def
cons
nil
cons
cons
6499
def
126
ref
subst
6499
remove
194
ref
subst
6307
remove
6306
remove
assume
eqMp
nil
110
ref
6212
ref
nil
cons
cons
6498
ref
cons
nil
cons
cons
175
ref
subst
proveHyp
nil
262
ref
6198
ref
71
ref
6308
ref
appTerm
6231
ref
appTerm
6500
def
absTerm
nil
cons
cons
nil
cons
nil
cons
cons
663
ref
subst
6198
remove
nil
139
ref
6500
remove
nil
cons
cons
nil
cons
nil
cons
cons
146
ref
subst
nil
110
ref
6308
ref
nil
cons
6501
def
cons
6498
ref
cons
nil
cons
cons
6502
def
126
ref
subst
6502
remove
194
ref
subst
6309
remove
6308
remove
assume
eqMp
nil
110
ref
6210
ref
nil
cons
cons
6498
ref
cons
nil
cons
cons
175
ref
subst
proveHyp
nil
262
ref
6199
ref
71
ref
6310
ref
appTerm
6231
ref
appTerm
6503
def
absTerm
nil
cons
cons
nil
cons
nil
cons
cons
663
ref
subst
6199
remove
nil
139
ref
6503
remove
nil
cons
cons
nil
cons
nil
cons
cons
146
ref
subst
nil
110
ref
6310
ref
nil
cons
6504
def
cons
6498
ref
cons
nil
cons
cons
6505
def
126
ref
subst
6505
remove
194
ref
subst
6311
remove
6310
remove
assume
eqMp
nil
110
ref
6208
remove
nil
cons
6506
def
cons
6498
remove
cons
nil
cons
cons
6507
def
175
ref
subst
proveHyp
6507
ref
126
ref
subst
6507
remove
194
ref
subst
nil
6179
remove
153
ref
6207
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
6508
def
167
ref
subst
6508
remove
334
ref
subst
nil
151
ref
6201
ref
nil
cons
6509
def
cons
153
ref
6206
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
6510
def
167
ref
subst
6510
remove
334
ref
subst
nil
151
ref
6203
ref
nil
cons
6511
def
cons
153
ref
6205
ref
nil
cons
6512
def
cons
nil
cons
cons
nil
cons
cons
6513
def
167
ref
subst
6513
remove
334
ref
subst
6230
remove
6129
ref
appTerm
betaConv
sym
894
ref
725
ref
895
ref
49
ref
6148
remove
appTerm
6514
def
6228
remove
6229
ref
6477
remove
897
ref
appTerm
902
ref
appTerm
3983
ref
appTerm
appTerm
appTerm
appTerm
absTerm
appTerm
absTerm
6515
def
6286
ref
appTerm
betaConv
sym
895
ref
6514
remove
49
ref
6314
remove
appTerm
6229
remove
6478
remove
902
ref
appTerm
3983
ref
appTerm
appTerm
appTerm
appTerm
absTerm
6516
def
6302
ref
appTerm
betaConv
sym
6182
remove
216
ref
6313
remove
3994
ref
subst
nil
139
ref
6509
remove
cons
nil
cons
nil
cons
cons
146
ref
subst
6201
remove
assume
eqMp
trans
appThm
216
ref
6320
remove
3994
remove
subst
nil
139
ref
6511
remove
cons
nil
cons
nil
cons
cons
146
ref
subst
6203
remove
assume
eqMp
trans
appThm
6327
remove
6474
remove
subst
nil
139
ref
6512
remove
cons
nil
cons
nil
cons
cons
146
ref
subst
6205
remove
assume
eqMp
trans
appThm
528
ref
trans
appThm
528
ref
trans
appThm
528
ref
trans
sym
145
ref
eqMp
eqMp
207
ref
208
ref
6516
remove
nil
cons
cons
29
ref
6302
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
724
ref
subst
proveHyp
eqMp
207
ref
208
ref
6515
remove
nil
cons
cons
29
ref
6286
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
724
ref
subst
proveHyp
eqMp
207
ref
6494
remove
6183
ref
cons
nil
cons
cons
724
ref
subst
proveHyp
proveHyp
proveHyp
proveHyp
proveHyp
proveHyp
proveHyp
eqMp
nil
151
ref
6506
remove
cons
153
ref
6232
remove
cons
nil
cons
6517
def
cons
nil
cons
cons
167
ref
subst
deductAntisym
eqMp
eqMp
eqMp
nil
151
ref
6504
remove
cons
6517
ref
cons
nil
cons
cons
167
ref
subst
deductAntisym
eqMp
eqMp
absThm
eqMp
nil
110
ref
68
ref
6164
ref
71
ref
6209
remove
6165
ref
appTerm
appTerm
6231
ref
appTerm
absTerm
appTerm
nil
cons
cons
111
ref
71
ref
6210
remove
appTerm
6231
ref
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
175
ref
subst
proveHyp
261
ref
6489
remove
6517
ref
cons
nil
cons
cons
811
ref
subst
eqMp
eqMp
eqMp
nil
151
ref
6501
remove
cons
6517
ref
cons
nil
cons
cons
167
ref
subst
deductAntisym
eqMp
eqMp
absThm
eqMp
nil
110
ref
68
ref
6164
ref
71
ref
6211
remove
6165
ref
appTerm
appTerm
6231
ref
appTerm
absTerm
appTerm
nil
cons
cons
111
ref
71
ref
6212
remove
appTerm
6231
ref
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
175
ref
subst
proveHyp
261
ref
6490
remove
6517
ref
cons
nil
cons
cons
811
ref
subst
eqMp
eqMp
eqMp
nil
151
ref
6497
remove
cons
6517
ref
cons
nil
cons
cons
167
ref
subst
deductAntisym
eqMp
eqMp
absThm
eqMp
nil
110
ref
68
ref
6164
ref
71
ref
6213
remove
6165
ref
appTerm
appTerm
6231
remove
appTerm
absTerm
appTerm
nil
cons
cons
6495
remove
cons
nil
cons
cons
175
ref
subst
proveHyp
261
ref
6491
remove
6517
remove
cons
nil
cons
cons
811
ref
subst
eqMp
eqMp
eqMp
eqMp
eqMp
absThm
eqMp
eqMp
absThm
eqMp
eqMp
absThm
eqMp
eqMp
absThm
eqMp
6518
def
nil
68
ref
6196
remove
appTerm
thm
6475
remove
nil
68
ref
6350
remove
appTerm
thm
nil
262
ref
227
ref
68
ref
263
ref
68
ref
1001
ref
68
ref
2165
ref
36
ref
968
ref
243
ref
appTerm
1151
ref
appTerm
1963
ref
appTerm
3983
ref
appTerm
6519
def
appTerm
"Hardware.xor3"
const
1946
remove
constTerm
6520
def
233
ref
appTerm
627
ref
appTerm
1002
ref
appTerm
2168
ref
appTerm
6521
def
appTerm
6522
def
absTerm
6523
def
appTerm
6524
def
absTerm
6525
def
appTerm
6526
def
absTerm
6527
def
appTerm
6528
def
absTerm
6529
def
nil
cons
cons
nil
cons
nil
cons
cons
663
ref
subst
227
ref
nil
139
ref
6528
remove
nil
cons
cons
nil
cons
nil
cons
cons
146
ref
subst
nil
262
ref
6527
remove
nil
cons
cons
nil
cons
nil
cons
cons
663
ref
subst
263
ref
nil
139
ref
6526
remove
nil
cons
cons
nil
cons
nil
cons
cons
146
ref
subst
nil
262
ref
6525
remove
nil
cons
cons
nil
cons
nil
cons
cons
663
ref
subst
1001
ref
nil
139
ref
6524
remove
nil
cons
cons
nil
cons
nil
cons
cons
146
ref
subst
nil
262
ref
6523
remove
nil
cons
cons
nil
cons
nil
cons
cons
663
ref
subst
2165
ref
nil
139
ref
6522
ref
nil
cons
cons
nil
cons
nil
cons
cons
146
ref
subst
155
ref
5950
remove
991
ref
subst
appThm
2165
ref
36
ref
6521
remove
appTerm
6530
def
1000
ref
5952
ref
49
ref
616
ref
233
ref
appTerm
627
ref
appTerm
5954
ref
appTerm
6531
def
appTerm
616
ref
5954
ref
appTerm
1002
ref
appTerm
2168
ref
appTerm
6532
def
appTerm
6533
def
absTerm
6534
def
appTerm
6535
def
appTerm
absTerm
6536
def
2168
ref
appTerm
6537
def
betaConv
1001
ref
68
ref
6536
ref
appTerm
6538
def
absTerm
6539
def
1002
ref
appTerm
6540
def
betaConv
263
ref
68
ref
6539
ref
appTerm
6541
def
absTerm
6542
def
627
ref
appTerm
6543
def
betaConv
227
ref
68
ref
6542
ref
appTerm
6544
def
absTerm
6545
def
233
ref
appTerm
6546
def
betaConv
nil
68
ref
6545
ref
appTerm
6547
def
axiom
nil
110
ref
6547
remove
nil
cons
cons
111
ref
6546
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
175
ref
subst
proveHyp
261
ref
262
ref
6545
remove
nil
cons
cons
265
ref
cons
nil
cons
cons
205
ref
subst
eqMp
eqMp
nil
110
ref
6544
remove
nil
cons
cons
111
ref
6543
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
175
ref
subst
proveHyp
261
ref
262
ref
6542
remove
nil
cons
cons
3024
ref
cons
nil
cons
cons
205
ref
subst
eqMp
eqMp
nil
110
ref
6541
remove
nil
cons
cons
111
ref
6540
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
175
ref
subst
proveHyp
261
ref
262
ref
6539
remove
nil
cons
cons
2495
ref
cons
nil
cons
cons
205
ref
subst
eqMp
eqMp
nil
110
ref
6538
remove
nil
cons
cons
111
ref
6537
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
175
ref
subst
proveHyp
261
ref
262
ref
6536
remove
nil
cons
cons
5973
ref
cons
nil
cons
cons
205
ref
subst
eqMp
eqMp
appThm
sym
nil
110
ref
725
ref
863
ref
49
ref
615
ref
243
ref
appTerm
6548
def
1151
ref
appTerm
6549
def
866
ref
appTerm
appTerm
974
ref
1963
ref
appTerm
3983
ref
appTerm
appTerm
absTerm
6550
def
appTerm
6551
def
nil
cons
6552
def
cons
111
ref
6535
ref
nil
cons
6553
def
cons
nil
cons
6554
def
cons
nil
cons
cons
335
ref
subst
nil
208
ref
5982
ref
71
ref
6550
ref
5983
ref
appTerm
6555
def
appTerm
6535
ref
appTerm
6556
def
absTerm
nil
cons
cons
nil
cons
nil
cons
cons
643
ref
subst
5982
remove
nil
139
ref
6556
remove
nil
cons
cons
nil
cons
nil
cons
cons
146
ref
subst
nil
110
ref
6555
ref
nil
cons
6557
def
cons
6554
ref
cons
nil
cons
cons
6558
def
126
ref
subst
6558
remove
194
ref
subst
6555
ref
betaConv
6555
remove
assume
eqMp
nil
110
ref
49
ref
6549
ref
5983
ref
appTerm
6559
def
appTerm
615
ref
5983
ref
appTerm
1963
ref
appTerm
3983
ref
appTerm
6560
def
appTerm
nil
cons
6561
def
cons
6554
ref
cons
nil
cons
cons
6562
def
175
ref
subst
proveHyp
6562
ref
126
ref
subst
6562
remove
194
ref
subst
nil
151
ref
6559
ref
nil
cons
6563
def
cons
153
ref
6560
ref
nil
cons
cons
nil
cons
cons
nil
cons
cons
6564
def
167
ref
subst
6564
remove
334
ref
subst
6001
remove
29
ref
725
ref
26
ref
49
ref
2796
ref
5983
ref
appTerm
appTerm
6002
remove
appTerm
absTerm
appTerm
absTerm
6565
def
243
ref
appTerm
betaConv
sym
26
ref
49
ref
6548
remove
41
ref
appTerm
5983
ref
appTerm
appTerm
6005
remove
appTerm
absTerm
6566
def
1151
remove
appTerm
betaConv
sym
216
ref
nil
139
ref
6563
remove
cons
nil
cons
nil
cons
cons
146
ref
subst
6559
remove
assume
6567
def
eqMp
appThm
1921
remove
appThm
528
ref
trans
sym
145
ref
eqMp
eqMp
207
ref
208
ref
6566
remove
nil
cons
cons
6008
remove
cons
nil
cons
cons
724
ref
subst
proveHyp
eqMp
207
ref
208
ref
6565
ref
nil
cons
cons
1154
remove
cons
nil
cons
cons
724
ref
subst
proveHyp
nil
110
ref
725
ref
6565
remove
appTerm
nil
cons
cons
6010
remove
cons
nil
cons
cons
175
ref
subst
proveHyp
6012
remove
48
ref
71
ref
725
ref
29
ref
725
ref
26
ref
5864
ref
absTerm
6568
def
appTerm
6569
def
absTerm
6570
def
appTerm
6571
def
appTerm
6572
def
550
ref
appTerm
6573
def
absTerm
6574
def
57
ref
appTerm
6575
def
betaConv
542
ref
65
ref
6574
ref
appTerm
6576
def
absTerm
6577
def
547
ref
appTerm
6578
def
betaConv
5881
ref
nil
110
ref
5882
ref
nil
cons
6579
def
cons
6580
def
111
ref
99
ref
6577
ref
appTerm
nil
cons
6581
def
cons
nil
cons
cons
nil
cons
cons
6582
def
175
ref
subst
proveHyp
6582
ref
126
ref
subst
6582
remove
194
ref
subst
nil
208
ref
6577
remove
nil
cons
cons
6583
def
nil
cons
nil
cons
cons
643
ref
subst
542
ref
nil
139
ref
6576
remove
nil
cons
6584
def
cons
nil
cons
nil
cons
cons
146
ref
subst
nil
257
ref
6574
remove
nil
cons
cons
6585
def
nil
cons
nil
cons
cons
662
ref
subst
48
ref
nil
139
ref
6573
remove
nil
cons
cons
nil
cons
nil
cons
cons
146
ref
subst
nil
110
ref
6571
remove
nil
cons
6586
def
cons
6587
def
5807
ref
cons
nil
cons
cons
6588
def
126
ref
subst
6588
ref
194
ref
subst
nil
6580
ref
5807
ref
cons
nil
cons
cons
6589
def
175
ref
subst
nil
6587
remove
111
ref
71
ref
5882
remove
appTerm
550
ref
appTerm
6590
def
nil
cons
6591
def
cons
nil
cons
6592
def
cons
nil
cons
cons
175
ref
subst
nil
208
ref
29
ref
71
ref
6570
ref
39
ref
appTerm
6593
def
appTerm
6590
ref
appTerm
6594
def
absTerm
6595
def
nil
cons
cons
nil
cons
nil
cons
cons
643
ref
subst
29
ref
nil
139
ref
6594
remove
nil
cons
cons
nil
cons
nil
cons
cons
146
ref
subst
nil
110
ref
6593
ref
nil
cons
6596
def
cons
6592
ref
cons
nil
cons
cons
6597
def
126
ref
subst
6597
remove
194
ref
subst
6593
ref
betaConv
6598
def
6593
remove
assume
eqMp
nil
110
ref
6569
ref
nil
cons
cons
6592
ref
cons
nil
cons
cons
175
ref
subst
proveHyp
nil
208
ref
26
ref
71
ref
6568
ref
41
ref
appTerm
6599
def
appTerm
6590
ref
appTerm
6600
def
absTerm
nil
cons
cons
nil
cons
nil
cons
cons
643
ref
subst
26
ref
nil
139
ref
6600
remove
nil
cons
cons
nil
cons
nil
cons
cons
146
ref
subst
nil
110
ref
6599
ref
nil
cons
6601
def
cons
6592
ref
cons
nil
cons
cons
6602
def
126
ref
subst
6602
remove
194
ref
subst
6599
ref
betaConv
6603
def
6599
remove
assume
eqMp
nil
110
ref
5864
remove
nil
cons
6604
def
cons
6605
def
6592
remove
cons
nil
cons
cons
6606
def
175
ref
subst
proveHyp
6606
ref
126
ref
subst
6606
remove
194
ref
subst
6589
ref
126
ref
subst
6589
remove
194
ref
subst
nil
6605
remove
5807
ref
cons
nil
cons
cons
175
ref
subst
5866
remove
57
ref
appTerm
6607
def
betaConv
5868
remove
547
ref
appTerm
6608
def
betaConv
5870
remove
41
ref
appTerm
6609
def
betaConv
5872
ref
39
ref
appTerm
6610
def
betaConv
nil
6580
ref
111
ref
6610
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
175
ref
subst
207
ref
5873
ref
210
ref
cons
nil
cons
cons
205
ref
subst
eqMp
eqMp
nil
110
ref
5874
remove
cons
111
ref
6609
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
175
ref
subst
proveHyp
207
ref
5875
remove
213
ref
cons
nil
cons
cons
205
ref
subst
eqMp
eqMp
nil
110
ref
5876
remove
cons
111
ref
6608
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
175
ref
subst
proveHyp
207
ref
5877
remove
595
ref
cons
nil
cons
cons
205
ref
subst
eqMp
eqMp
nil
110
ref
5878
remove
cons
111
ref
6607
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
175
ref
subst
proveHyp
256
ref
5879
remove
293
ref
cons
nil
cons
cons
205
ref
subst
eqMp
eqMp
eqMp
eqMp
nil
151
ref
6579
remove
cons
6611
def
5834
ref
cons
nil
cons
cons
167
ref
subst
deductAntisym
eqMp
eqMp
nil
151
ref
6604
remove
cons
153
ref
6591
remove
cons
nil
cons
6612
def
cons
nil
cons
cons
167
ref
subst
deductAntisym
eqMp
eqMp
eqMp
nil
151
ref
6601
remove
cons
6612
ref
cons
nil
cons
cons
167
ref
subst
deductAntisym
eqMp
eqMp
absThm
eqMp
nil
110
ref
99
ref
1892
ref
71
ref
6568
ref
1893
ref
appTerm
appTerm
6590
ref
appTerm
absTerm
appTerm
nil
cons
cons
111
ref
71
ref
6569
remove
appTerm
6590
ref
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
175
ref
subst
proveHyp
207
ref
208
ref
6568
remove
nil
cons
cons
6613
def
6612
ref
cons
nil
cons
cons
811
ref
subst
eqMp
eqMp
eqMp
nil
151
ref
6596
remove
cons
6612
ref
cons
nil
cons
cons
167
ref
subst
deductAntisym
eqMp
eqMp
absThm
eqMp
nil
110
ref
99
ref
6595
remove
appTerm
nil
cons
cons
111
ref
6572
remove
6590
remove
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
175
ref
subst
proveHyp
207
ref
208
ref
6570
remove
nil
cons
cons
6614
def
6612
remove
cons
nil
cons
cons
811
ref
subst
eqMp
eqMp
eqMp
eqMp
nil
151
ref
6586
remove
cons
5834
ref
cons
nil
cons
cons
167
ref
subst
deductAntisym
eqMp
eqMp
absThm
eqMp
eqMp
absThm
eqMp
eqMp
nil
6611
remove
153
ref
6581
ref
cons
nil
cons
cons
nil
cons
cons
167
ref
subst
deductAntisym
eqMp
eqMp
nil
110
ref
6581
remove
cons
111
ref
6578
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
175
ref
subst
proveHyp
207
ref
6583
remove
595
ref
cons
nil
cons
cons
205
ref
subst
eqMp
eqMp
nil
110
ref
6584
remove
cons
111
ref
6575
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
175
ref
subst
proveHyp
256
ref
6585
remove
293
ref
cons
nil
cons
cons
205
ref
subst
eqMp
eqMp
6615
def
subst
eqMp
6058
remove
proveHyp
1162
ref
eqMp
eqMp
6059
remove
proveHyp
6061
remove
proveHyp
6113
remove
eqMp
6117
remove
nil
6121
remove
6554
ref
cons
nil
cons
cons
175
ref
subst
proveHyp
nil
262
ref
5952
ref
6123
remove
6535
ref
appTerm
6616
def
absTerm
nil
cons
cons
nil
cons
nil
cons
cons
663
ref
subst
5952
ref
nil
139
ref
6616
remove
nil
cons
cons
nil
cons
nil
cons
cons
146
ref
subst
nil
6126
remove
6554
ref
cons
nil
cons
cons
6617
def
126
ref
subst
6617
remove
194
ref
subst
6128
remove
nil
6132
remove
6554
remove
cons
nil
cons
cons
6618
def
175
ref
subst
proveHyp
6618
ref
126
ref
subst
6618
remove
194
ref
subst
6534
ref
5954
remove
appTerm
6619
def
betaConv
6620
def
sym
216
ref
6137
ref
2165
ref
36
ref
2791
remove
appTerm
4005
remove
appTerm
6621
def
absTerm
6622
def
2168
ref
appTerm
6623
def
betaConv
1001
ref
68
ref
6622
ref
appTerm
6624
def
absTerm
6625
def
1002
ref
appTerm
6626
def
betaConv
263
ref
68
ref
6625
ref
appTerm
6627
def
absTerm
6628
def
627
ref
appTerm
6629
def
betaConv
225
ref
263
ref
225
ref
1001
ref
225
ref
2165
ref
6621
remove
assume
sym
4006
remove
assume
sym
deductAntisym
absThm
appThm
absThm
appThm
absThm
appThm
4013
remove
eqMp
nil
110
ref
68
ref
6628
ref
appTerm
nil
cons
cons
111
ref
6629
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
175
ref
subst
proveHyp
261
ref
262
ref
6628
remove
nil
cons
cons
3024
ref
cons
nil
cons
cons
205
ref
subst
eqMp
eqMp
nil
110
ref
6627
remove
nil
cons
cons
111
ref
6626
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
175
ref
subst
proveHyp
261
ref
262
ref
6625
remove
nil
cons
cons
2495
ref
cons
nil
cons
cons
205
ref
subst
eqMp
eqMp
nil
110
ref
6624
remove
nil
cons
cons
111
ref
6623
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
175
ref
subst
proveHyp
261
ref
262
ref
6622
remove
nil
cons
cons
5973
ref
cons
nil
cons
cons
205
ref
subst
eqMp
eqMp
6630
def
subst
nil
139
ref
6549
ref
6129
ref
appTerm
6631
def
nil
cons
cons
nil
cons
nil
cons
cons
146
ref
subst
36
ref
"_32254"
2
ref
var
6632
def
6549
remove
6632
remove
varTerm
appTerm
absTerm
6633
def
5983
ref
appTerm
6634
def
appTerm
refl
6633
ref
6129
ref
appTerm
betaConv
appThm
155
ref
6634
remove
betaConv
appThm
6631
remove
refl
appThm
trans
6633
remove
refl
6152
ref
appThm
eqMp
6567
remove
eqMp
eqMp
trans
appThm
6155
ref
6630
remove
subst
nil
139
ref
615
ref
6129
ref
appTerm
1963
ref
appTerm
3983
ref
appTerm
6635
def
nil
cons
cons
nil
cons
nil
cons
cons
146
ref
subst
36
ref
"_32256"
2
ref
var
6636
def
615
ref
6636
remove
varTerm
appTerm
1963
remove
appTerm
3983
remove
appTerm
absTerm
6637
def
5983
remove
appTerm
6638
def
appTerm
refl
6637
ref
6129
ref
appTerm
betaConv
appThm
155
ref
6638
remove
betaConv
appThm
6635
remove
refl
appThm
trans
6637
remove
refl
6152
remove
appThm
eqMp
6560
remove
assume
eqMp
eqMp
trans
appThm
528
ref
trans
sym
145
ref
eqMp
eqMp
261
ref
262
ref
6534
ref
nil
cons
cons
6639
def
6154
remove
cons
nil
cons
cons
724
ref
subst
proveHyp
eqMp
nil
6161
remove
153
ref
6553
remove
cons
nil
cons
6640
def
cons
nil
cons
cons
167
ref
subst
deductAntisym
eqMp
eqMp
eqMp
nil
6163
remove
6640
ref
cons
nil
cons
cons
167
ref
subst
deductAntisym
eqMp
eqMp
absThm
eqMp
nil
110
ref
68
ref
6164
ref
6166
remove
6535
ref
appTerm
absTerm
appTerm
nil
cons
cons
111
ref
6167
remove
6535
ref
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
175
ref
subst
proveHyp
261
ref
6168
remove
6640
ref
cons
nil
cons
cons
811
ref
subst
eqMp
eqMp
proveHyp
proveHyp
proveHyp
eqMp
nil
151
ref
6561
remove
cons
6640
ref
cons
nil
cons
cons
167
ref
subst
deductAntisym
eqMp
eqMp
eqMp
nil
151
ref
6557
remove
cons
6640
ref
cons
nil
cons
cons
167
ref
subst
deductAntisym
eqMp
eqMp
absThm
eqMp
nil
110
ref
99
ref
29
ref
71
ref
6550
ref
39
ref
appTerm
appTerm
6535
ref
appTerm
absTerm
appTerm
nil
cons
cons
111
ref
71
ref
6551
ref
appTerm
6535
ref
appTerm
nil
cons
6641
def
cons
nil
cons
cons
nil
cons
cons
175
ref
subst
proveHyp
207
ref
208
ref
6550
ref
nil
cons
cons
6642
def
6640
remove
cons
nil
cons
cons
811
ref
subst
eqMp
nil
110
ref
6641
remove
cons
111
ref
71
ref
6535
remove
appTerm
6551
ref
appTerm
nil
cons
cons
nil
cons
6643
def
cons
nil
cons
cons
194
ref
subst
proveHyp
nil
262
ref
5952
ref
71
ref
6619
ref
appTerm
6551
ref
appTerm
6644
def
absTerm
nil
cons
cons
nil
cons
nil
cons
cons
663
ref
subst
5952
remove
nil
139
ref
6644
remove
nil
cons
cons
nil
cons
nil
cons
cons
146
ref
subst
nil
110
ref
6619
ref
nil
cons
6645
def
cons
111
ref
6552
ref
cons
nil
cons
6646
def
cons
nil
cons
cons
6647
def
126
ref
subst
6647
remove
194
ref
subst
6620
remove
6619
remove
assume
eqMp
nil
110
ref
6533
remove
nil
cons
6648
def
cons
6646
remove
cons
nil
cons
cons
6649
def
175
ref
subst
proveHyp
6649
ref
126
ref
subst
6649
remove
194
ref
subst
nil
151
ref
6531
ref
nil
cons
6650
def
cons
153
ref
6532
ref
nil
cons
6651
def
cons
nil
cons
cons
nil
cons
cons
6652
def
167
ref
subst
6652
remove
334
ref
subst
6550
remove
6129
remove
appTerm
betaConv
sym
216
ref
6137
remove
4012
ref
subst
nil
139
ref
6650
remove
cons
nil
cons
nil
cons
cons
146
ref
subst
6531
remove
assume
eqMp
trans
appThm
6155
remove
4012
remove
subst
nil
139
ref
6651
remove
cons
nil
cons
nil
cons
cons
146
ref
subst
6532
remove
assume
eqMp
trans
appThm
528
ref
trans
sym
145
ref
eqMp
eqMp
207
ref
6642
remove
6183
remove
cons
nil
cons
cons
724
ref
subst
proveHyp
proveHyp
proveHyp
eqMp
nil
151
ref
6648
remove
cons
153
ref
6552
remove
cons
nil
cons
6653
def
cons
nil
cons
cons
167
ref
subst
deductAntisym
eqMp
eqMp
eqMp
nil
151
ref
6645
remove
cons
6653
ref
cons
nil
cons
cons
167
ref
subst
deductAntisym
eqMp
eqMp
absThm
eqMp
nil
110
ref
68
ref
6164
remove
71
ref
6534
remove
6165
remove
appTerm
appTerm
6551
remove
appTerm
absTerm
appTerm
nil
cons
cons
6643
remove
cons
nil
cons
cons
175
ref
subst
proveHyp
261
ref
6639
remove
6653
remove
cons
nil
cons
cons
811
ref
subst
eqMp
eqMp
eqMp
eqMp
eqMp
absThm
eqMp
eqMp
absThm
eqMp
eqMp
absThm
eqMp
eqMp
absThm
eqMp
6654
def
nil
68
ref
6529
remove
appTerm
thm
nil
208
ref
29
ref
99
ref
26
ref
65
ref
48
ref
99
ref
542
ref
71
ref
59
ref
2768
ref
appTerm
6655
def
appTerm
6656
def
892
ref
39
ref
appTerm
41
ref
appTerm
4524
ref
appTerm
547
ref
appTerm
appTerm
6657
def
absTerm
6658
def
appTerm
6659
def
absTerm
6660
def
appTerm
6661
def
absTerm
6662
def
appTerm
6663
def
absTerm
6664
def
nil
cons
cons
nil
cons
nil
cons
cons
643
ref
subst
29
ref
nil
139
ref
6663
remove
nil
cons
cons
nil
cons
nil
cons
cons
146
ref
subst
nil
208
ref
6662
remove
nil
cons
cons
nil
cons
nil
cons
cons
643
ref
subst
26
ref
nil
139
ref
6661
remove
nil
cons
cons
nil
cons
nil
cons
cons
146
ref
subst
nil
257
ref
6660
remove
nil
cons
cons
nil
cons
nil
cons
cons
662
ref
subst
48
ref
nil
139
ref
6659
remove
nil
cons
cons
nil
cons
nil
cons
cons
146
ref
subst
nil
208
ref
6658
remove
nil
cons
cons
nil
cons
nil
cons
cons
643
ref
subst
542
ref
nil
139
ref
6657
remove
nil
cons
cons
nil
cons
nil
cons
cons
146
ref
subst
6656
remove
refl
nil
4656
ref
212
remove
857
ref
209
remove
cons
nil
cons
cons
cons
nil
cons
cons
6665
def
931
ref
subst
appThm
sym
nil
110
ref
6655
remove
nil
cons
6666
def
cons
111
ref
725
ref
863
ref
725
ref
894
ref
725
ref
895
ref
49
ref
901
ref
866
ref
appTerm
appTerm
6667
def
49
ref
5744
ref
897
ref
appTerm
appTerm
6668
def
49
ref
532
ref
41
ref
appTerm
4524
ref
appTerm
6669
def
902
ref
appTerm
appTerm
6670
def
909
ref
appTerm
appTerm
appTerm
absTerm
appTerm
absTerm
appTerm
absTerm
6671
def
appTerm
nil
cons
6672
def
cons
nil
cons
cons
nil
cons
cons
6673
def
126
ref
subst
6673
remove
194
ref
subst
nil
3086
ref
153
ref
2768
ref
nil
cons
6674
def
cons
nil
cons
cons
nil
cons
cons
6675
def
167
ref
subst
6675
remove
334
ref
subst
226
ref
2164
remove
appThm
4662
ref
appThm
sym
541
ref
4699
ref
subst
eqMp
6676
def
nil
110
ref
71
ref
2768
ref
appTerm
6677
def
47
ref
4646
ref
4649
ref
49
ref
4651
ref
appTerm
6678
def
549
ref
4647
ref
appTerm
6679
def
appTerm
6680
def
appTerm
absTerm
appTerm
appTerm
nil
cons
cons
111
ref
5830
ref
cons
nil
cons
6681
def
cons
nil
cons
cons
175
ref
subst
proveHyp
226
ref
226
ref
nil
139
ref
6674
remove
cons
nil
cons
nil
cons
cons
146
ref
subst
2768
remove
assume
eqMp
6682
def
appThm
215
ref
"_32378"
44
ref
var
6683
def
216
ref
3096
remove
6683
remove
varTerm
6684
def
refl
appThm
appThm
49
ref
61
ref
6684
ref
appTerm
appTerm
549
ref
6684
remove
appTerm
appTerm
refl
appThm
absThm
appThm
appThm
nil
139
ref
47
ref
4646
ref
49
ref
276
ref
4647
ref
appTerm
6685
def
appTerm
6680
ref
appTerm
6686
def
absTerm
6687
def
appTerm
6688
def
nil
cons
cons
nil
cons
nil
cons
cons
840
ref
subst
trans
appThm
4658
ref
refl
6689
def
appThm
sym
nil
257
ref
4646
ref
71
ref
6687
ref
4647
ref
appTerm
6690
def
appTerm
4658
ref
appTerm
6691
def
absTerm
nil
cons
cons
nil
cons
nil
cons
cons
662
ref
subst
4646
ref
nil
139
ref
6691
remove
nil
cons
cons
nil
cons
nil
cons
cons
146
ref
subst
nil
110
ref
6690
ref
nil
cons
6692
def
cons
6681
ref
cons
nil
cons
cons
6693
def
126
ref
subst
6693
remove
194
ref
subst
6690
ref
betaConv
6690
remove
assume
eqMp
nil
110
ref
6686
remove
nil
cons
6694
def
cons
6681
remove
cons
nil
cons
cons
6695
def
175
ref
subst
proveHyp
6695
ref
126
ref
subst
6695
remove
194
ref
subst
nil
151
ref
6685
ref
nil
cons
cons
153
ref
6680
ref
nil
cons
cons
nil
cons
6696
def
cons
nil
cons
cons
6697
def
167
ref
subst
6697
remove
334
ref
subst
nil
151
ref
4651
ref
nil
cons
cons
6698
def
153
ref
6679
ref
nil
cons
cons
nil
cons
cons
nil
cons
cons
6699
def
167
ref
subst
6700
def
6699
remove
334
ref
subst
6701
def
216
ref
217
ref
4651
remove
assume
appThm
6702
def
6685
remove
assume
6703
def
appThm
nil
258
ref
4647
ref
nil
cons
cons
nil
cons
nil
cons
cons
489
ref
subst
6704
def
trans
appThm
217
ref
6679
remove
assume
appThm
6705
def
6703
remove
appThm
6704
ref
trans
appThm
528
ref
trans
sym
145
ref
eqMp
proveHyp
proveHyp
proveHyp
proveHyp
eqMp
nil
151
ref
6694
remove
cons
5831
ref
cons
nil
cons
cons
167
ref
subst
deductAntisym
eqMp
eqMp
eqMp
nil
151
ref
6692
remove
cons
5831
ref
cons
nil
cons
cons
167
ref
subst
deductAntisym
eqMp
eqMp
absThm
eqMp
nil
110
ref
65
ref
258
ref
71
ref
6687
ref
797
ref
appTerm
appTerm
4658
ref
appTerm
absTerm
appTerm
nil
cons
cons
111
ref
71
ref
6688
remove
appTerm
4658
ref
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
175
ref
subst
proveHyp
256
ref
257
ref
6687
remove
nil
cons
cons
5831
remove
cons
nil
cons
cons
811
ref
subst
eqMp
eqMp
eqMp
5835
remove
167
ref
subst
5836
ref
6671
ref
547
ref
appTerm
betaConv
sym
894
ref
725
ref
895
ref
5786
ref
6668
remove
6670
ref
905
ref
547
ref
appTerm
6706
def
897
ref
appTerm
902
ref
appTerm
547
ref
appTerm
appTerm
appTerm
appTerm
absTerm
appTerm
absTerm
6707
def
4524
ref
appTerm
betaConv
sym
895
ref
5786
ref
49
ref
5744
remove
4524
ref
appTerm
6708
def
appTerm
6709
def
6670
remove
6706
remove
4524
ref
appTerm
6710
def
902
ref
appTerm
547
ref
appTerm
appTerm
appTerm
appTerm
absTerm
6711
def
4524
ref
appTerm
betaConv
sym
216
ref
6682
remove
appThm
6709
remove
49
ref
6669
remove
4524
ref
appTerm
6712
def
appTerm
6710
remove
4524
ref
appTerm
547
ref
appTerm
6713
def
appTerm
6714
def
appTerm
6715
def
refl
appThm
nil
139
ref
6715
remove
nil
cons
cons
nil
cons
nil
cons
cons
527
ref
subst
trans
sym
3098
ref
nil
4526
ref
nil
cons
cons
nil
139
ref
854
remove
nil
cons
cons
nil
cons
nil
cons
cons
146
ref
subst
855
ref
39
ref
appTerm
6716
def
betaConv
852
remove
nil
110
ref
856
remove
nil
cons
cons
111
ref
6716
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
175
ref
subst
proveHyp
207
ref
208
ref
855
remove
nil
cons
cons
210
ref
cons
nil
cons
cons
205
ref
subst
eqMp
eqMp
6717
def
eqMp
6718
def
subst
6719
def
appThm
528
ref
trans
sym
145
ref
eqMp
nil
110
ref
59
ref
5743
remove
4524
ref
appTerm
6720
def
appTerm
nil
cons
cons
111
ref
6708
remove
nil
cons
6721
def
cons
nil
cons
cons
nil
cons
cons
175
ref
subst
proveHyp
nil
4657
remove
nil
cons
cons
5785
ref
subst
eqMp
nil
110
ref
6721
remove
cons
111
ref
6714
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
194
ref
subst
proveHyp
4688
ref
6719
remove
appThm
528
ref
trans
sym
145
ref
eqMp
nil
110
ref
63
ref
6720
remove
appTerm
nil
cons
cons
111
ref
6712
remove
nil
cons
6722
def
cons
nil
cons
cons
nil
cons
cons
175
ref
subst
proveHyp
nil
4656
ref
213
ref
cons
nil
cons
cons
5785
remove
subst
eqMp
nil
110
ref
6722
remove
cons
111
ref
6713
remove
nil
cons
cons
nil
cons
6723
def
cons
nil
cons
cons
194
ref
subst
proveHyp
216
ref
4690
ref
appThm
6724
def
606
ref
547
ref
appTerm
4524
ref
appTerm
547
ref
appTerm
6725
def
refl
6726
def
appThm
nil
139
ref
6725
ref
nil
cons
6727
def
cons
nil
cons
nil
cons
cons
527
ref
subst
6728
def
trans
sym
6724
ref
nil
595
ref
nil
cons
cons
6729
def
6718
remove
subst
appThm
528
ref
trans
sym
145
ref
eqMp
nil
110
ref
551
ref
10
ref
547
ref
appTerm
547
ref
appTerm
6730
def
appTerm
nil
cons
cons
6731
def
111
ref
6727
remove
cons
nil
cons
cons
nil
cons
cons
175
ref
subst
6732
def
proveHyp
nil
26
ref
594
remove
cons
595
ref
cons
nil
cons
cons
6733
def
5575
remove
subst
6734
def
eqMp
eqMp
nil
110
ref
551
ref
6725
remove
appTerm
nil
cons
cons
6723
remove
cons
nil
cons
cons
175
ref
subst
proveHyp
nil
4656
remove
595
ref
cons
nil
cons
cons
71
ref
59
ref
2785
ref
appTerm
6735
def
appTerm
6736
def
refl
6665
ref
964
ref
subst
appThm
sym
nil
110
ref
6735
remove
nil
cons
6737
def
cons
111
ref
725
ref
863
ref
49
ref
2784
remove
866
ref
appTerm
appTerm
6738
def
947
ref
4524
ref
appTerm
547
ref
appTerm
appTerm
absTerm
6739
def
appTerm
nil
cons
6740
def
cons
nil
cons
cons
nil
cons
cons
6741
def
126
ref
subst
6741
remove
194
ref
subst
nil
3086
ref
153
ref
2785
ref
nil
cons
6742
def
cons
nil
cons
cons
nil
cons
cons
6743
def
167
ref
subst
6743
remove
334
ref
subst
6739
ref
547
ref
appTerm
betaConv
sym
216
ref
nil
139
ref
6742
remove
cons
nil
cons
nil
cons
cons
146
ref
subst
2785
ref
assume
eqMp
appThm
6744
def
6726
remove
appThm
6728
remove
trans
sym
6418
remove
sym
6423
remove
sym
6744
remove
3097
ref
appThm
528
ref
trans
sym
145
ref
eqMp
eqMp
207
ref
6433
remove
213
ref
cons
nil
cons
cons
724
ref
subst
proveHyp
eqMp
207
ref
6434
remove
210
ref
cons
nil
cons
cons
724
ref
subst
proveHyp
6408
remove
175
ref
subst
proveHyp
6435
ref
eqMp
nil
110
ref
4681
ref
cons
111
ref
6730
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
194
ref
subst
6745
def
proveHyp
6729
ref
6717
remove
subst
6746
def
eqMp
6732
remove
proveHyp
6734
remove
eqMp
eqMp
eqMp
207
ref
208
ref
6739
remove
nil
cons
cons
595
ref
cons
nil
cons
cons
724
ref
subst
proveHyp
proveHyp
proveHyp
eqMp
nil
151
ref
6737
remove
cons
153
ref
6740
remove
cons
nil
cons
cons
nil
cons
cons
167
ref
subst
deductAntisym
eqMp
eqMp
6747
def
subst
eqMp
eqMp
eqMp
eqMp
eqMp
207
ref
208
ref
6711
remove
nil
cons
cons
4526
ref
cons
nil
cons
cons
724
ref
subst
proveHyp
eqMp
207
ref
208
ref
6707
remove
nil
cons
cons
4526
remove
cons
nil
cons
cons
724
ref
subst
proveHyp
eqMp
207
ref
208
ref
6671
remove
nil
cons
cons
595
ref
cons
nil
cons
cons
724
ref
subst
proveHyp
proveHyp
proveHyp
proveHyp
proveHyp
proveHyp
eqMp
nil
151
ref
6666
remove
cons
153
ref
6672
remove
cons
nil
cons
cons
nil
cons
cons
167
ref
subst
deductAntisym
eqMp
eqMp
eqMp
absThm
eqMp
eqMp
absThm
eqMp
eqMp
absThm
eqMp
eqMp
absThm
eqMp
nil
99
ref
6664
remove
appTerm
thm
nil
208
ref
29
ref
99
ref
26
ref
65
ref
48
ref
99
ref
542
ref
6736
remove
905
ref
39
ref
appTerm
41
ref
appTerm
4524
ref
appTerm
547
ref
appTerm
appTerm
6748
def
absTerm
6749
def
appTerm
6750
def
absTerm
6751
def
appTerm
6752
def
absTerm
6753
def
appTerm
6754
def
absTerm
6755
def
nil
cons
cons
nil
cons
nil
cons
cons
643
ref
subst
29
ref
nil
139
ref
6754
remove
nil
cons
cons
nil
cons
nil
cons
cons
146
ref
subst
nil
208
ref
6753
remove
nil
cons
cons
nil
cons
nil
cons
cons
643
ref
subst
26
ref
nil
139
ref
6752
remove
nil
cons
cons
nil
cons
nil
cons
cons
146
ref
subst
nil
257
ref
6751
remove
nil
cons
cons
nil
cons
nil
cons
cons
662
ref
subst
48
ref
nil
139
ref
6750
remove
nil
cons
cons
nil
cons
nil
cons
cons
146
ref
subst
nil
208
ref
6749
remove
nil
cons
cons
nil
cons
nil
cons
cons
643
ref
subst
542
ref
nil
139
ref
6748
remove
nil
cons
cons
nil
cons
nil
cons
cons
146
ref
subst
6747
remove
eqMp
absThm
eqMp
eqMp
absThm
eqMp
eqMp
absThm
eqMp
eqMp
absThm
eqMp
nil
99
ref
6755
remove
appTerm
thm
nil
208
ref
29
ref
99
ref
26
ref
65
ref
48
ref
99
ref
542
ref
71
ref
59
ref
2797
ref
appTerm
6756
def
appTerm
6757
def
968
ref
39
ref
appTerm
41
ref
appTerm
4524
ref
appTerm
547
ref
appTerm
appTerm
6758
def
absTerm
6759
def
appTerm
6760
def
absTerm
6761
def
appTerm
6762
def
absTerm
6763
def
appTerm
6764
def
absTerm
6765
def
nil
cons
cons
nil
cons
nil
cons
cons
643
ref
subst
29
ref
nil
139
ref
6764
remove
nil
cons
cons
nil
cons
nil
cons
cons
146
ref
subst
nil
208
ref
6763
remove
nil
cons
cons
nil
cons
nil
cons
cons
643
ref
subst
26
ref
nil
139
ref
6762
remove
nil
cons
cons
nil
cons
nil
cons
cons
146
ref
subst
nil
257
ref
6761
remove
nil
cons
cons
nil
cons
nil
cons
cons
662
ref
subst
48
ref
nil
139
ref
6760
remove
nil
cons
cons
nil
cons
nil
cons
cons
146
ref
subst
nil
208
ref
6759
remove
nil
cons
cons
nil
cons
nil
cons
cons
643
ref
subst
542
ref
nil
139
ref
6758
remove
nil
cons
cons
nil
cons
nil
cons
cons
146
ref
subst
6757
remove
refl
6665
remove
991
ref
subst
appThm
sym
nil
110
ref
6756
remove
nil
cons
6766
def
cons
111
ref
725
ref
863
ref
49
ref
2796
remove
866
ref
appTerm
appTerm
6767
def
974
ref
4524
ref
appTerm
547
ref
appTerm
appTerm
absTerm
6768
def
appTerm
nil
cons
6769
def
cons
nil
cons
cons
nil
cons
cons
6770
def
126
ref
subst
6770
remove
194
ref
subst
nil
3086
ref
153
ref
2797
ref
nil
cons
6771
def
cons
nil
cons
cons
nil
cons
cons
6772
def
167
ref
subst
6772
remove
334
ref
subst
6768
ref
547
ref
appTerm
betaConv
sym
216
ref
nil
139
ref
6771
remove
cons
nil
cons
nil
cons
cons
146
ref
subst
2797
ref
assume
eqMp
appThm
6773
def
615
ref
547
ref
appTerm
4524
remove
appTerm
547
ref
appTerm
6774
def
refl
appThm
nil
139
ref
6774
remove
nil
cons
6775
def
cons
nil
cons
nil
cons
cons
527
ref
subst
trans
sym
6598
remove
sym
6603
remove
sym
6773
remove
3097
remove
appThm
528
ref
trans
sym
145
ref
eqMp
eqMp
207
ref
6613
remove
213
ref
cons
nil
cons
cons
724
ref
subst
proveHyp
eqMp
207
ref
6614
remove
210
ref
cons
nil
cons
cons
724
ref
subst
proveHyp
6588
remove
175
ref
subst
proveHyp
6615
ref
eqMp
6745
remove
proveHyp
6746
remove
eqMp
nil
6731
remove
111
ref
6775
remove
cons
nil
cons
cons
nil
cons
cons
175
ref
subst
proveHyp
6733
remove
5608
remove
subst
eqMp
eqMp
eqMp
207
ref
208
ref
6768
remove
nil
cons
cons
595
ref
cons
nil
cons
cons
724
ref
subst
proveHyp
proveHyp
proveHyp
eqMp
nil
151
ref
6766
remove
cons
153
ref
6769
remove
cons
nil
cons
cons
nil
cons
cons
167
ref
subst
deductAntisym
eqMp
eqMp
eqMp
absThm
eqMp
eqMp
absThm
eqMp
eqMp
absThm
eqMp
eqMp
absThm
eqMp
nil
99
ref
6765
remove
appTerm
thm
1831
remove
nil
1832
remove
thm
nil
208
ref
857
ref
99
ref
29
ref
99
ref
26
ref
99
ref
542
ref
65
ref
48
ref
71
ref
49
ref
862
ref
appTerm
6776
def
52
ref
54
ref
861
ref
appTerm
6777
def
appTerm
6778
def
57
ref
appTerm
6779
def
appTerm
6780
def
appTerm
550
ref
appTerm
6781
def
absTerm
6782
def
appTerm
6783
def
absTerm
6784
def
appTerm
6785
def
absTerm
6786
def
appTerm
6787
def
absTerm
6788
def
appTerm
6789
def
absTerm
6790
def
nil
cons
cons
nil
cons
nil
cons
cons
643
ref
subst
857
ref
nil
139
ref
6789
remove
nil
cons
cons
nil
cons
nil
cons
cons
146
ref
subst
nil
208
ref
6788
remove
nil
cons
cons
nil
cons
nil
cons
cons
643
ref
subst
29
ref
nil
139
ref
6787
remove
nil
cons
cons
nil
cons
nil
cons
cons
146
ref
subst
nil
208
ref
6786
remove
nil
cons
cons
nil
cons
nil
cons
cons
643
ref
subst
26
ref
nil
139
ref
6785
remove
nil
cons
cons
nil
cons
nil
cons
cons
146
ref
subst
nil
208
ref
6784
remove
nil
cons
cons
nil
cons
nil
cons
cons
643
ref
subst
542
ref
nil
139
ref
6783
remove
nil
cons
cons
nil
cons
nil
cons
cons
146
ref
subst
nil
257
ref
6782
remove
nil
cons
cons
nil
cons
nil
cons
cons
662
ref
subst
48
ref
nil
139
ref
6781
remove
nil
cons
cons
nil
cons
nil
cons
cons
146
ref
subst
nil
110
ref
6780
remove
nil
cons
6791
def
cons
5807
ref
cons
nil
cons
cons
6792
def
126
ref
subst
6792
remove
194
ref
subst
nil
151
ref
862
ref
nil
cons
6793
def
cons
6794
def
153
ref
6779
ref
nil
cons
6795
def
cons
nil
cons
6796
def
cons
nil
cons
cons
6797
def
167
ref
subst
6797
remove
334
ref
subst
5815
remove
"_32162"
44
ref
var
6798
def
549
ref
6798
remove
varTerm
appTerm
absTerm
6777
ref
appTerm
betaConv
appThm
5816
remove
549
ref
6777
ref
appTerm
6799
def
refl
6800
def
appThm
trans
5819
remove
6779
ref
assume
6801
def
sym
appThm
eqMp
sym
6802
def
226
ref
887
ref
appThm
47
ref
48
ref
49
ref
6779
ref
appTerm
6803
def
4659
ref
appTerm
6804
def
absTerm
6805
def
appTerm
6806
def
refl
6807
def
appThm
sym
nil
208
ref
863
ref
71
ref
872
ref
866
ref
appTerm
6808
def
appTerm
6809
def
6806
ref
appTerm
6810
def
absTerm
nil
cons
cons
nil
cons
nil
cons
cons
643
ref
subst
863
ref
nil
139
ref
6810
remove
nil
cons
cons
nil
cons
nil
cons
cons
146
ref
subst
nil
110
ref
6808
ref
nil
cons
6811
def
cons
6812
def
111
ref
6806
ref
nil
cons
6813
def
cons
nil
cons
6814
def
cons
nil
cons
cons
6815
def
126
ref
subst
6815
remove
194
ref
subst
6808
ref
betaConv
6816
def
6808
remove
assume
eqMp
6817
def
nil
110
ref
871
remove
nil
cons
6818
def
cons
6819
def
6814
ref
cons
nil
cons
cons
6820
def
175
ref
subst
proveHyp
6820
ref
126
ref
subst
6820
remove
194
ref
subst
nil
151
ref
867
ref
nil
cons
6821
def
cons
6822
def
153
ref
870
ref
nil
cons
6823
def
cons
nil
cons
cons
nil
cons
cons
6824
def
167
ref
subst
6825
def
6824
remove
334
ref
subst
6826
def
542
ref
71
ref
865
remove
547
ref
appTerm
6827
def
appTerm
47
ref
48
ref
6803
ref
59
ref
550
ref
appTerm
appTerm
absTerm
appTerm
6828
def
appTerm
absTerm
6829
def
866
ref
appTerm
6830
def
betaConv
26
ref
99
ref
542
ref
71
ref
896
ref
547
ref
appTerm
6831
def
appTerm
47
ref
48
ref
6803
ref
4658
ref
appTerm
absTerm
appTerm
6832
def
appTerm
absTerm
appTerm
absTerm
6833
def
39
ref
appTerm
6834
def
betaConv
29
ref
99
ref
26
ref
99
ref
542
ref
6677
remove
4661
ref
appTerm
6835
def
absTerm
6836
def
appTerm
6837
def
absTerm
6838
def
appTerm
6839
def
absTerm
6840
def
861
ref
appTerm
6841
def
betaConv
nil
208
ref
6840
ref
nil
cons
cons
6842
def
nil
cons
nil
cons
cons
643
ref
subst
29
ref
nil
139
ref
6839
remove
nil
cons
cons
nil
cons
nil
cons
cons
146
ref
subst
nil
208
ref
6838
remove
nil
cons
cons
nil
cons
nil
cons
cons
643
ref
subst
26
ref
nil
139
ref
6837
remove
nil
cons
6843
def
cons
nil
cons
nil
cons
cons
146
ref
subst
nil
208
ref
6836
ref
nil
cons
cons
6844
def
nil
cons
nil
cons
cons
643
ref
subst
542
ref
nil
139
ref
6835
remove
nil
cons
cons
nil
cons
nil
cons
cons
146
ref
subst
6676
remove
eqMp
absThm
eqMp
6845
def
eqMp
absThm
eqMp
eqMp
absThm
eqMp
6846
def
nil
110
ref
99
ref
6840
ref
appTerm
6847
def
nil
cons
cons
6848
def
111
ref
6841
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
175
ref
subst
proveHyp
207
ref
6842
ref
886
ref
cons
nil
cons
cons
205
ref
subst
eqMp
eqMp
nil
110
ref
99
ref
6833
ref
appTerm
nil
cons
cons
111
ref
6834
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
175
ref
subst
proveHyp
207
ref
208
ref
6833
remove
nil
cons
cons
210
ref
cons
nil
cons
cons
205
ref
subst
eqMp
eqMp
nil
110
ref
99
ref
6829
ref
appTerm
nil
cons
cons
111
ref
6830
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
175
ref
subst
proveHyp
207
ref
208
ref
6829
remove
nil
cons
cons
29
ref
866
ref
nil
cons
6849
def
cons
nil
cons
6850
def
cons
nil
cons
cons
205
ref
subst
eqMp
eqMp
nil
110
ref
71
ref
867
ref
appTerm
47
ref
48
ref
6803
ref
59
ref
52
ref
54
ref
866
ref
appTerm
6851
def
appTerm
6852
def
57
ref
appTerm
6853
def
appTerm
6854
def
appTerm
6855
def
absTerm
6856
def
appTerm
6857
def
appTerm
nil
cons
cons
6814
ref
cons
nil
cons
cons
175
ref
subst
proveHyp
226
ref
226
ref
nil
139
ref
6821
ref
cons
nil
cons
nil
cons
cons
146
ref
subst
867
remove
assume
eqMp
6858
def
appThm
6857
ref
refl
6859
def
appThm
nil
139
ref
6857
ref
nil
cons
cons
nil
cons
nil
cons
cons
840
ref
subst
6860
def
trans
appThm
6807
ref
appThm
sym
nil
257
ref
48
ref
71
ref
6856
ref
57
ref
appTerm
6861
def
appTerm
6806
ref
appTerm
6862
def
absTerm
nil
cons
cons
nil
cons
nil
cons
cons
662
ref
subst
6863
def
48
ref
nil
139
ref
6862
remove
nil
cons
cons
nil
cons
nil
cons
cons
146
ref
subst
6864
def
nil
110
ref
6861
ref
nil
cons
6865
def
cons
6814
ref
cons
nil
cons
cons
6866
def
126
ref
subst
6867
def
6866
remove
194
ref
subst
6868
def
6861
ref
betaConv
6861
remove
assume
eqMp
nil
110
ref
6855
remove
nil
cons
6869
def
cons
6814
ref
cons
nil
cons
cons
6870
def
175
ref
subst
proveHyp
6871
def
6870
ref
126
ref
subst
6872
def
6870
remove
194
ref
subst
6873
def
nil
151
ref
6795
ref
cons
6874
def
153
ref
6854
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
6875
def
167
ref
subst
6876
def
6875
remove
334
ref
subst
6877
def
nil
3086
remove
153
ref
6853
ref
nil
cons
6878
def
cons
nil
cons
cons
nil
cons
cons
6879
def
167
ref
subst
6880
def
6879
remove
334
ref
subst
6881
def
6805
ref
57
ref
appTerm
6882
def
betaConv
6883
def
sym
6884
def
216
ref
217
ref
6801
ref
appThm
222
ref
appThm
2416
ref
trans
appThm
3098
ref
6689
remove
appThm
nil
139
ref
5830
ref
cons
nil
cons
nil
cons
cons
527
ref
subst
6885
def
trans
appThm
6885
remove
trans
sym
6886
def
36
ref
"_32152"
44
ref
var
6887
def
49
ref
61
ref
6887
remove
varTerm
6888
def
appTerm
appTerm
549
ref
6888
remove
appTerm
appTerm
absTerm
6889
def
57
ref
appTerm
6890
def
appTerm
refl
6889
ref
6851
ref
appTerm
betaConv
appThm
155
ref
6890
remove
betaConv
appThm
49
ref
61
ref
6851
ref
appTerm
appTerm
549
ref
6851
ref
appTerm
appTerm
6891
def
refl
6892
def
appThm
trans
6889
remove
refl
6853
ref
assume
sym
appThm
eqMp
sym
6893
def
542
ref
71
ref
870
ref
appTerm
47
ref
48
ref
49
ref
6853
ref
appTerm
6894
def
4658
ref
appTerm
absTerm
6895
def
appTerm
6896
def
appTerm
6897
def
absTerm
6898
def
547
ref
appTerm
6899
def
betaConv
26
ref
99
ref
6898
ref
appTerm
6900
def
absTerm
6901
def
41
ref
appTerm
6902
def
betaConv
6840
remove
866
ref
appTerm
6903
def
betaConv
6846
ref
nil
6848
remove
111
ref
6903
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
175
ref
subst
proveHyp
207
ref
6842
remove
6850
ref
cons
nil
cons
cons
205
ref
subst
eqMp
eqMp
nil
110
ref
99
ref
6901
ref
appTerm
nil
cons
cons
111
ref
6902
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
175
ref
subst
proveHyp
207
ref
208
ref
6901
remove
nil
cons
cons
213
ref
cons
nil
cons
cons
205
ref
subst
eqMp
eqMp
nil
110
ref
6900
remove
nil
cons
cons
111
ref
6899
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
175
ref
subst
proveHyp
207
ref
208
ref
6898
remove
nil
cons
cons
595
ref
cons
nil
cons
cons
205
ref
subst
eqMp
eqMp
nil
110
ref
6897
remove
nil
cons
cons
111
ref
6891
ref
nil
cons
6904
def
cons
nil
cons
6905
def
cons
nil
cons
cons
175
ref
subst
proveHyp
226
ref
226
ref
nil
139
ref
6823
ref
cons
nil
cons
nil
cons
cons
146
ref
subst
870
ref
assume
eqMp
6906
def
appThm
6896
ref
refl
6907
def
appThm
nil
139
ref
6896
ref
nil
cons
cons
nil
cons
nil
cons
cons
840
ref
subst
6908
def
trans
appThm
6892
ref
appThm
sym
nil
257
ref
4646
ref
71
ref
6895
ref
4647
ref
appTerm
6909
def
appTerm
6891
ref
appTerm
6910
def
absTerm
nil
cons
cons
nil
cons
nil
cons
cons
662
ref
subst
4646
ref
nil
139
ref
6910
remove
nil
cons
cons
nil
cons
nil
cons
cons
146
ref
subst
nil
110
ref
6909
ref
nil
cons
6911
def
cons
6905
ref
cons
nil
cons
cons
6912
def
126
ref
subst
6912
remove
194
ref
subst
6909
ref
betaConv
6909
remove
assume
eqMp
nil
110
ref
49
ref
6852
ref
4647
ref
appTerm
6913
def
appTerm
6680
remove
appTerm
nil
cons
6914
def
cons
6905
ref
cons
nil
cons
cons
6915
def
175
ref
subst
proveHyp
6915
ref
126
ref
subst
6915
remove
194
ref
subst
nil
151
ref
6913
ref
nil
cons
cons
6696
remove
cons
nil
cons
cons
6916
def
167
ref
subst
6916
remove
334
ref
subst
6700
remove
6701
remove
216
ref
6702
ref
6913
remove
assume
6917
def
appThm
6704
ref
trans
appThm
6705
remove
6917
remove
appThm
6704
ref
trans
appThm
528
ref
trans
sym
145
ref
eqMp
proveHyp
proveHyp
proveHyp
proveHyp
eqMp
nil
151
ref
6914
remove
cons
153
ref
6904
remove
cons
nil
cons
6918
def
cons
nil
cons
cons
167
ref
subst
deductAntisym
eqMp
eqMp
eqMp
nil
151
ref
6911
remove
cons
6918
ref
cons
nil
cons
cons
167
ref
subst
deductAntisym
eqMp
eqMp
absThm
eqMp
nil
110
ref
65
ref
258
ref
71
ref
6895
ref
797
ref
appTerm
appTerm
6891
ref
appTerm
absTerm
appTerm
nil
cons
cons
111
ref
71
ref
6896
ref
appTerm
6891
remove
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
175
ref
subst
proveHyp
256
ref
257
ref
6895
remove
nil
cons
cons
6918
remove
cons
nil
cons
cons
811
ref
subst
eqMp
6919
def
eqMp
eqMp
eqMp
eqMp
eqMp
256
ref
257
ref
6805
ref
nil
cons
cons
6920
def
293
ref
cons
nil
cons
cons
724
ref
subst
6921
def
proveHyp
proveHyp
proveHyp
proveHyp
proveHyp
eqMp
nil
151
ref
6869
remove
cons
153
ref
6813
ref
cons
nil
cons
6922
def
cons
nil
cons
cons
167
ref
subst
6923
def
deductAntisym
eqMp
eqMp
eqMp
nil
151
ref
6865
remove
cons
6922
ref
cons
nil
cons
cons
167
ref
subst
6924
def
deductAntisym
eqMp
eqMp
absThm
eqMp
nil
110
ref
65
ref
258
ref
71
ref
6856
ref
797
ref
appTerm
appTerm
6806
ref
appTerm
absTerm
appTerm
nil
cons
cons
111
ref
71
ref
6857
ref
appTerm
6806
ref
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
175
ref
subst
6925
def
proveHyp
256
ref
257
ref
6856
remove
nil
cons
cons
6922
ref
cons
nil
cons
cons
811
ref
subst
6926
def
eqMp
eqMp
eqMp
proveHyp
proveHyp
eqMp
nil
151
ref
6818
remove
cons
6927
def
6922
ref
cons
nil
cons
cons
167
ref
subst
deductAntisym
eqMp
eqMp
eqMp
nil
151
ref
6811
remove
cons
6928
def
6922
ref
cons
nil
cons
cons
167
ref
subst
deductAntisym
eqMp
eqMp
absThm
eqMp
nil
110
ref
99
ref
1892
ref
71
ref
872
ref
1893
ref
appTerm
appTerm
6929
def
6806
ref
appTerm
absTerm
appTerm
nil
cons
cons
111
ref
71
ref
873
ref
appTerm
6930
def
6806
ref
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
175
ref
subst
proveHyp
207
ref
208
ref
872
remove
nil
cons
cons
6931
def
6922
ref
cons
nil
cons
cons
811
ref
subst
eqMp
eqMp
6932
def
nil
110
ref
71
ref
862
ref
appTerm
6806
ref
appTerm
6933
def
nil
cons
6934
def
cons
111
ref
6799
ref
nil
cons
6935
def
cons
nil
cons
6936
def
cons
nil
cons
cons
175
ref
subst
proveHyp
226
ref
226
ref
nil
139
ref
6793
remove
cons
nil
cons
nil
cons
cons
146
ref
subst
862
ref
assume
eqMp
6937
def
appThm
6807
ref
appThm
nil
139
ref
6813
remove
cons
nil
cons
nil
cons
cons
840
ref
subst
6938
def
trans
appThm
6800
ref
appThm
sym
nil
257
ref
48
ref
71
ref
6882
ref
appTerm
6799
ref
appTerm
6939
def
absTerm
nil
cons
cons
nil
cons
nil
cons
cons
662
ref
subst
48
ref
nil
139
ref
6939
remove
nil
cons
cons
nil
cons
nil
cons
cons
146
ref
subst
nil
110
ref
6882
ref
nil
cons
6940
def
cons
6936
ref
cons
nil
cons
cons
6941
def
126
ref
subst
6941
remove
194
ref
subst
6883
remove
6882
remove
assume
eqMp
nil
110
ref
6804
remove
nil
cons
6942
def
cons
6936
ref
cons
nil
cons
cons
6943
def
175
ref
subst
proveHyp
6943
ref
126
ref
subst
6943
remove
194
ref
subst
nil
6874
remove
153
ref
5827
remove
cons
nil
cons
cons
nil
cons
cons
6944
def
167
ref
subst
6944
remove
334
ref
subst
5833
remove
5836
remove
4689
remove
6801
remove
appThm
2416
ref
trans
sym
145
ref
eqMp
proveHyp
proveHyp
proveHyp
proveHyp
eqMp
nil
151
ref
6942
remove
cons
153
ref
6935
remove
cons
nil
cons
6945
def
cons
nil
cons
cons
167
ref
subst
deductAntisym
eqMp
eqMp
eqMp
nil
151
ref
6940
remove
cons
6945
ref
cons
nil
cons
cons
167
ref
subst
deductAntisym
eqMp
eqMp
absThm
eqMp
nil
110
ref
65
ref
258
ref
71
ref
6805
remove
797
ref
appTerm
appTerm
6799
ref
appTerm
absTerm
appTerm
nil
cons
cons
111
ref
71
ref
6806
ref
appTerm
6799
remove
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
175
ref
subst
proveHyp
256
ref
6920
remove
6945
remove
cons
nil
cons
cons
811
ref
subst
eqMp
6946
def
eqMp
eqMp
eqMp
proveHyp
proveHyp
eqMp
nil
151
ref
6791
remove
cons
5834
ref
cons
nil
cons
cons
167
ref
subst
deductAntisym
eqMp
eqMp
absThm
eqMp
eqMp
absThm
eqMp
eqMp
absThm
eqMp
eqMp
absThm
eqMp
eqMp
absThm
eqMp
nil
99
ref
6790
remove
appTerm
thm
nil
208
ref
857
ref
99
ref
29
ref
99
ref
26
ref
99
ref
542
ref
65
ref
48
ref
71
ref
49
ref
893
ref
appTerm
6947
def
6779
ref
appTerm
6948
def
appTerm
550
ref
appTerm
6949
def
absTerm
6950
def
appTerm
6951
def
absTerm
6952
def
appTerm
6953
def
absTerm
6954
def
appTerm
6955
def
absTerm
6956
def
appTerm
6957
def
absTerm
6958
def
nil
cons
cons
nil
cons
nil
cons
cons
643
ref
subst
857
ref
nil
139
ref
6957
remove
nil
cons
cons
nil
cons
nil
cons
cons
146
ref
subst
nil
208
ref
6956
remove
nil
cons
cons
nil
cons
nil
cons
cons
643
ref
subst
29
ref
nil
139
ref
6955
remove
nil
cons
cons
nil
cons
nil
cons
cons
146
ref
subst
nil
208
ref
6954
remove
nil
cons
cons
nil
cons
nil
cons
cons
643
ref
subst
26
ref
nil
139
ref
6953
remove
nil
cons
cons
nil
cons
nil
cons
cons
146
ref
subst
nil
208
ref
6952
remove
nil
cons
cons
nil
cons
nil
cons
cons
643
ref
subst
542
ref
nil
139
ref
6951
remove
nil
cons
cons
nil
cons
nil
cons
cons
146
ref
subst
nil
257
ref
6950
remove
nil
cons
cons
nil
cons
nil
cons
cons
662
ref
subst
48
ref
nil
139
ref
6949
remove
nil
cons
cons
nil
cons
nil
cons
cons
146
ref
subst
nil
110
ref
6948
remove
nil
cons
6959
def
cons
5807
ref
cons
nil
cons
cons
6960
def
126
ref
subst
6960
remove
194
ref
subst
nil
151
ref
893
ref
nil
cons
6961
def
cons
6962
def
6796
ref
cons
nil
cons
cons
6963
def
167
ref
subst
6963
remove
334
ref
subst
6802
ref
226
ref
931
ref
appThm
6807
ref
appThm
sym
nil
208
ref
863
ref
71
ref
917
ref
866
ref
appTerm
6964
def
appTerm
6965
def
6806
ref
appTerm
6966
def
absTerm
nil
cons
cons
nil
cons
nil
cons
cons
643
ref
subst
863
ref
nil
139
ref
6966
remove
nil
cons
cons
nil
cons
nil
cons
cons
146
ref
subst
nil
110
ref
6964
ref
nil
cons
6967
def
cons
6968
def
6814
ref
cons
nil
cons
cons
6969
def
126
ref
subst
6969
remove
194
ref
subst
6964
ref
betaConv
6970
def
6964
remove
assume
eqMp
6971
def
nil
110
ref
916
ref
nil
cons
cons
6972
def
6814
ref
cons
nil
cons
cons
175
ref
subst
proveHyp
nil
208
ref
894
ref
71
ref
915
ref
897
ref
appTerm
6973
def
appTerm
6974
def
6806
ref
appTerm
6975
def
absTerm
nil
cons
cons
nil
cons
nil
cons
cons
643
ref
subst
894
ref
nil
139
ref
6975
remove
nil
cons
cons
nil
cons
nil
cons
cons
146
ref
subst
nil
110
ref
6973
ref
nil
cons
6976
def
cons
6977
def
6814
ref
cons
nil
cons
cons
6978
def
126
ref
subst
6978
remove
194
ref
subst
6973
ref
betaConv
6979
def
6973
remove
assume
eqMp
6980
def
nil
110
ref
914
ref
nil
cons
cons
6981
def
6814
ref
cons
nil
cons
cons
175
ref
subst
proveHyp
nil
208
ref
895
ref
71
ref
913
ref
902
ref
appTerm
6982
def
appTerm
6983
def
6806
ref
appTerm
6984
def
absTerm
nil
cons
cons
nil
cons
nil
cons
cons
643
ref
subst
895
ref
nil
139
ref
6984
remove
nil
cons
cons
nil
cons
nil
cons
cons
146
ref
subst
nil
110
ref
6982
ref
nil
cons
6985
def
cons
6986
def
6814
ref
cons
nil
cons
cons
6987
def
126
ref
subst
6987
remove
194
ref
subst
6982
ref
betaConv
6988
def
6982
remove
assume
eqMp
6989
def
nil
110
ref
912
remove
nil
cons
6990
def
cons
6991
def
6814
ref
cons
nil
cons
cons
6992
def
175
ref
subst
proveHyp
6992
ref
126
ref
subst
6992
remove
194
ref
subst
nil
6822
ref
153
ref
911
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
6993
def
334
ref
subst
6994
def
nil
151
ref
898
ref
nil
cons
6995
def
cons
6996
def
153
ref
910
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
6997
def
167
ref
subst
6998
def
6997
remove
334
ref
subst
6999
def
nil
151
ref
903
ref
nil
cons
7000
def
cons
7001
def
153
ref
909
ref
nil
cons
7002
def
cons
nil
cons
cons
nil
cons
cons
7003
def
167
ref
subst
7004
def
7003
remove
334
ref
subst
7005
def
542
ref
71
ref
909
ref
appTerm
47
ref
48
ref
6894
ref
49
ref
52
ref
54
ref
897
ref
appTerm
7006
def
appTerm
7007
def
57
ref
appTerm
7008
def
appTerm
7009
def
49
ref
52
ref
54
ref
902
ref
appTerm
7010
def
appTerm
7011
def
57
ref
appTerm
7012
def
appTerm
550
ref
appTerm
7013
def
appTerm
7014
def
appTerm
7015
def
absTerm
7016
def
appTerm
7017
def
appTerm
7018
def
absTerm
7019
def
547
ref
appTerm
7020
def
betaConv
26
ref
99
ref
542
ref
71
ref
907
remove
41
ref
appTerm
547
ref
appTerm
7021
def
appTerm
47
ref
48
ref
6894
ref
7009
remove
4658
remove
appTerm
appTerm
absTerm
appTerm
appTerm
absTerm
appTerm
absTerm
7022
def
902
ref
appTerm
7023
def
betaConv
29
ref
99
ref
26
ref
99
ref
542
ref
71
ref
906
remove
39
ref
appTerm
41
ref
appTerm
547
ref
appTerm
7024
def
appTerm
47
ref
48
ref
6894
remove
4659
ref
appTerm
absTerm
appTerm
appTerm
absTerm
appTerm
absTerm
appTerm
absTerm
7025
def
897
ref
appTerm
7026
def
betaConv
857
ref
99
ref
29
ref
99
ref
26
ref
99
ref
542
ref
71
ref
942
ref
appTerm
6806
ref
appTerm
7027
def
absTerm
7028
def
appTerm
7029
def
absTerm
7030
def
appTerm
7031
def
absTerm
7032
def
appTerm
7033
def
absTerm
7034
def
866
ref
appTerm
7035
def
betaConv
nil
208
ref
7034
ref
nil
cons
cons
7036
def
nil
cons
nil
cons
cons
643
ref
subst
857
ref
nil
139
ref
7033
remove
nil
cons
cons
nil
cons
nil
cons
cons
146
ref
subst
nil
208
ref
7032
remove
nil
cons
cons
nil
cons
nil
cons
cons
643
ref
subst
29
ref
nil
139
ref
7031
remove
nil
cons
cons
nil
cons
nil
cons
cons
146
ref
subst
nil
208
ref
7030
remove
nil
cons
cons
nil
cons
nil
cons
cons
643
ref
subst
26
ref
nil
139
ref
7029
remove
nil
cons
cons
nil
cons
nil
cons
cons
146
ref
subst
nil
208
ref
7028
remove
nil
cons
cons
nil
cons
nil
cons
cons
643
ref
subst
542
ref
nil
139
ref
7027
remove
nil
cons
7037
def
cons
nil
cons
nil
cons
cons
146
ref
subst
226
ref
964
ref
appThm
6807
ref
appThm
sym
nil
208
ref
863
ref
71
ref
950
ref
866
ref
appTerm
7038
def
appTerm
7039
def
6806
ref
appTerm
7040
def
absTerm
nil
cons
cons
nil
cons
nil
cons
cons
643
ref
subst
863
ref
nil
139
ref
7040
remove
nil
cons
cons
nil
cons
nil
cons
cons
146
ref
subst
nil
110
ref
7038
ref
nil
cons
7041
def
cons
7042
def
6814
ref
cons
nil
cons
cons
7043
def
126
ref
subst
7043
remove
194
ref
subst
7038
ref
betaConv
7044
def
7038
remove
assume
eqMp
7045
def
nil
110
ref
949
remove
nil
cons
7046
def
cons
7047
def
6814
ref
cons
nil
cons
cons
7048
def
175
ref
subst
proveHyp
7048
ref
126
ref
subst
7048
remove
194
ref
subst
nil
151
ref
945
ref
nil
cons
7049
def
cons
7050
def
153
ref
948
ref
nil
cons
7051
def
cons
nil
cons
cons
nil
cons
cons
7052
def
167
ref
subst
7053
def
7052
remove
334
ref
subst
7054
def
542
ref
71
ref
944
remove
547
ref
appTerm
7055
def
appTerm
6828
ref
appTerm
absTerm
7056
def
866
ref
appTerm
7057
def
betaConv
26
ref
99
ref
542
ref
71
ref
943
remove
41
ref
appTerm
7058
def
547
ref
appTerm
7059
def
appTerm
6832
ref
appTerm
absTerm
appTerm
absTerm
7060
def
39
ref
appTerm
7061
def
betaConv
29
ref
99
ref
26
ref
99
ref
542
ref
71
ref
2785
remove
appTerm
4661
ref
appTerm
7062
def
absTerm
7063
def
appTerm
7064
def
absTerm
7065
def
appTerm
7066
def
absTerm
7067
def
861
ref
appTerm
7068
def
betaConv
nil
208
ref
7067
ref
nil
cons
cons
7069
def
nil
cons
nil
cons
cons
643
ref
subst
29
ref
nil
139
ref
7066
remove
nil
cons
cons
nil
cons
nil
cons
cons
146
ref
subst
nil
208
ref
7065
remove
nil
cons
cons
nil
cons
nil
cons
cons
643
ref
subst
26
ref
nil
139
ref
7064
remove
nil
cons
cons
nil
cons
nil
cons
cons
146
ref
subst
nil
208
ref
7063
remove
nil
cons
cons
nil
cons
nil
cons
cons
643
ref
subst
542
ref
nil
139
ref
7062
remove
nil
cons
cons
nil
cons
nil
cons
cons
146
ref
subst
226
ref
2777
remove
appThm
4662
ref
appThm
sym
611
ref
4699
ref
subst
eqMp
eqMp
absThm
eqMp
eqMp
absThm
eqMp
eqMp
absThm
eqMp
7070
def
nil
110
ref
99
ref
7067
ref
appTerm
7071
def
nil
cons
cons
7072
def
111
ref
7068
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
175
ref
subst
proveHyp
207
ref
7069
ref
886
ref
cons
nil
cons
cons
205
ref
subst
eqMp
eqMp
nil
110
ref
99
ref
7060
ref
appTerm
nil
cons
cons
111
ref
7061
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
175
ref
subst
proveHyp
207
ref
208
ref
7060
remove
nil
cons
cons
210
ref
cons
nil
cons
cons
205
ref
subst
eqMp
eqMp
nil
110
ref
99
ref
7056
ref
appTerm
nil
cons
cons
111
ref
7057
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
175
ref
subst
proveHyp
207
ref
208
ref
7056
remove
nil
cons
cons
6850
ref
cons
nil
cons
cons
205
ref
subst
eqMp
eqMp
nil
110
ref
71
ref
945
ref
appTerm
6857
ref
appTerm
nil
cons
cons
6814
ref
cons
nil
cons
cons
175
ref
subst
proveHyp
226
ref
226
ref
nil
139
ref
7049
ref
cons
nil
cons
nil
cons
cons
146
ref
subst
945
remove
assume
eqMp
7073
def
appThm
6859
ref
appThm
6860
ref
trans
appThm
6807
ref
appThm
sym
6863
ref
48
ref
6864
ref
6867
ref
6868
ref
6871
ref
6872
ref
6873
ref
6876
ref
6877
ref
6880
ref
6881
ref
6884
ref
6886
ref
6893
ref
542
ref
71
ref
948
ref
appTerm
6896
ref
appTerm
7074
def
absTerm
7075
def
547
ref
appTerm
7076
def
betaConv
26
ref
99
ref
7075
ref
appTerm
7077
def
absTerm
7078
def
41
ref
appTerm
7079
def
betaConv
7067
remove
866
ref
appTerm
7080
def
betaConv
7070
ref
nil
7072
remove
111
ref
7080
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
175
ref
subst
proveHyp
207
ref
7069
remove
6850
ref
cons
nil
cons
cons
205
ref
subst
eqMp
eqMp
nil
110
ref
99
ref
7078
ref
appTerm
nil
cons
cons
111
ref
7079
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
175
ref
subst
proveHyp
207
ref
208
ref
7078
remove
nil
cons
cons
213
ref
cons
nil
cons
cons
205
ref
subst
eqMp
eqMp
nil
110
ref
7077
remove
nil
cons
cons
111
ref
7076
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
175
ref
subst
proveHyp
207
ref
208
ref
7075
remove
nil
cons
cons
595
ref
cons
nil
cons
cons
205
ref
subst
eqMp
eqMp
nil
110
ref
7074
remove
nil
cons
cons
6905
ref
cons
nil
cons
cons
175
ref
subst
proveHyp
226
ref
226
ref
nil
139
ref
7051
ref
cons
nil
cons
nil
cons
cons
146
ref
subst
948
ref
assume
eqMp
7081
def
appThm
6907
ref
appThm
6908
ref
trans
appThm
6892
ref
appThm
sym
6919
ref
eqMp
eqMp
eqMp
eqMp
eqMp
6921
ref
proveHyp
proveHyp
proveHyp
proveHyp
proveHyp
eqMp
6923
ref
deductAntisym
eqMp
eqMp
eqMp
6924
ref
deductAntisym
eqMp
eqMp
absThm
eqMp
6925
ref
proveHyp
6926
ref
eqMp
eqMp
eqMp
proveHyp
proveHyp
eqMp
nil
151
ref
7046
remove
cons
7082
def
6922
ref
cons
nil
cons
cons
167
ref
subst
deductAntisym
eqMp
eqMp
eqMp
nil
151
ref
7041
remove
cons
7083
def
6922
ref
cons
nil
cons
cons
167
ref
subst
deductAntisym
eqMp
eqMp
absThm
eqMp
nil
110
ref
99
ref
1892
ref
71
ref
950
ref
1893
ref
appTerm
appTerm
7084
def
6806
ref
appTerm
absTerm
appTerm
nil
cons
cons
111
ref
71
ref
951
ref
appTerm
7085
def
6806
ref
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
175
ref
subst
proveHyp
207
ref
208
ref
950
remove
nil
cons
cons
7086
def
6922
ref
cons
nil
cons
cons
811
ref
subst
eqMp
eqMp
7087
def
eqMp
absThm
eqMp
eqMp
absThm
eqMp
eqMp
absThm
eqMp
eqMp
absThm
eqMp
7088
def
nil
110
ref
99
ref
7034
ref
appTerm
7089
def
nil
cons
cons
7090
def
111
ref
7035
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
175
ref
subst
proveHyp
207
ref
7036
ref
6850
ref
cons
nil
cons
cons
205
ref
subst
eqMp
eqMp
nil
110
ref
99
ref
7025
ref
appTerm
nil
cons
cons
111
ref
7026
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
175
ref
subst
proveHyp
207
ref
208
ref
7025
remove
nil
cons
cons
29
ref
897
ref
nil
cons
7091
def
cons
nil
cons
7092
def
cons
nil
cons
cons
205
ref
subst
eqMp
eqMp
nil
110
ref
99
ref
7022
ref
appTerm
nil
cons
cons
111
ref
7023
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
175
ref
subst
proveHyp
207
ref
208
ref
7022
remove
nil
cons
cons
29
ref
902
ref
nil
cons
7093
def
cons
nil
cons
7094
def
cons
nil
cons
cons
205
ref
subst
eqMp
eqMp
nil
110
ref
99
ref
7019
ref
appTerm
nil
cons
cons
111
ref
7020
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
175
ref
subst
proveHyp
207
ref
208
ref
7019
remove
nil
cons
cons
595
ref
cons
nil
cons
cons
205
ref
subst
eqMp
eqMp
nil
110
ref
7018
remove
nil
cons
cons
6814
ref
cons
nil
cons
cons
175
ref
subst
proveHyp
226
ref
226
ref
nil
139
ref
7002
ref
cons
nil
cons
nil
cons
cons
146
ref
subst
909
ref
assume
eqMp
7095
def
appThm
7017
ref
refl
appThm
nil
139
ref
7017
ref
nil
cons
cons
nil
cons
nil
cons
cons
840
ref
subst
trans
appThm
6807
ref
appThm
sym
nil
257
ref
48
ref
71
ref
7016
ref
57
ref
appTerm
7096
def
appTerm
6806
ref
appTerm
7097
def
absTerm
nil
cons
cons
nil
cons
nil
cons
cons
662
ref
subst
48
ref
nil
139
ref
7097
remove
nil
cons
cons
nil
cons
nil
cons
cons
146
ref
subst
nil
110
ref
7096
ref
nil
cons
7098
def
cons
6814
ref
cons
nil
cons
cons
7099
def
126
ref
subst
7099
remove
194
ref
subst
7096
ref
betaConv
7096
remove
assume
eqMp
nil
110
ref
7015
remove
nil
cons
7100
def
cons
6814
ref
cons
nil
cons
cons
7101
def
175
ref
subst
proveHyp
7101
ref
126
ref
subst
7101
remove
194
ref
subst
nil
151
ref
6878
remove
cons
153
ref
7014
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
334
ref
subst
nil
151
ref
7008
ref
nil
cons
cons
153
ref
7013
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
7102
def
167
ref
subst
7102
remove
334
ref
subst
nil
151
ref
7012
ref
nil
cons
cons
5834
ref
cons
nil
cons
cons
7103
def
167
ref
subst
7103
remove
334
ref
subst
6884
ref
6803
remove
refl
4627
ref
63
ref
refl
4690
remove
appThm
nil
139
ref
1107
ref
cons
nil
cons
nil
cons
cons
397
ref
subst
trans
appThm
appThm
sym
36
ref
"_32281"
44
ref
var
7104
def
6778
ref
7104
remove
varTerm
appTerm
absTerm
7105
def
57
ref
appTerm
7106
def
appTerm
refl
7105
ref
7006
ref
appTerm
betaConv
appThm
155
ref
7106
remove
betaConv
appThm
6778
ref
7006
ref
appTerm
7107
def
refl
appThm
trans
7105
remove
refl
7008
ref
assume
sym
appThm
eqMp
sym
29
ref
725
ref
26
ref
49
ref
901
remove
897
ref
appTerm
appTerm
56
ref
6777
ref
appTerm
7108
def
appTerm
absTerm
appTerm
absTerm
7109
def
861
ref
appTerm
betaConv
sym
26
ref
899
ref
6778
ref
6777
ref
appTerm
7110
def
appTerm
7111
def
absTerm
7112
def
41
ref
appTerm
betaConv
sym
216
ref
nil
139
ref
6995
ref
cons
nil
cons
nil
cons
cons
146
ref
subst
898
remove
assume
eqMp
appThm
7113
def
nil
258
ref
6777
ref
nil
cons
7114
def
cons
nil
cons
7115
def
nil
cons
cons
489
ref
subst
7116
def
appThm
528
ref
trans
7117
def
sym
145
ref
eqMp
eqMp
207
ref
208
ref
7112
remove
nil
cons
cons
213
ref
cons
nil
cons
cons
724
ref
subst
proveHyp
eqMp
207
ref
208
ref
7109
ref
nil
cons
cons
886
ref
cons
nil
cons
cons
724
ref
subst
proveHyp
nil
110
ref
725
ref
7109
remove
appTerm
nil
cons
cons
111
ref
7007
remove
6777
ref
appTerm
7118
def
nil
cons
7119
def
cons
nil
cons
cons
nil
cons
cons
175
ref
subst
proveHyp
nil
48
ref
7114
ref
cons
7120
def
542
ref
7091
remove
cons
nil
cons
cons
nil
cons
cons
6057
ref
subst
eqMp
7121
def
nil
110
ref
7119
ref
cons
7122
def
111
ref
7107
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
175
ref
subst
proveHyp
nil
258
ref
7006
ref
nil
cons
cons
5996
ref
7114
remove
cons
nil
cons
cons
nil
cons
cons
391
ref
189
ref
71
ref
417
remove
appTerm
419
remove
appTerm
7123
def
absTerm
7124
def
190
ref
appTerm
7125
def
betaConv
413
ref
184
ref
7124
ref
appTerm
7126
def
absTerm
7127
def
416
ref
appTerm
7128
def
betaConv
nil
184
ref
189
ref
184
ref
413
ref
7123
ref
absTerm
7129
def
appTerm
7130
def
absTerm
7131
def
appTerm
7132
def
axiom
nil
110
ref
7132
remove
nil
cons
7133
def
cons
7134
def
111
ref
184
ref
7127
ref
appTerm
nil
cons
7135
def
cons
nil
cons
cons
nil
cons
cons
7136
def
175
ref
subst
proveHyp
7136
ref
126
ref
subst
7136
remove
194
ref
subst
nil
185
ref
7127
remove
nil
cons
cons
7137
def
nil
cons
nil
cons
cons
642
ref
subst
413
ref
nil
139
ref
7126
remove
nil
cons
7138
def
cons
nil
cons
nil
cons
cons
146
ref
subst
nil
185
ref
7124
remove
nil
cons
cons
7139
def
nil
cons
nil
cons
cons
642
ref
subst
189
ref
nil
139
ref
7123
remove
nil
cons
cons
nil
cons
nil
cons
cons
146
ref
subst
7129
ref
416
ref
appTerm
7140
def
betaConv
7131
ref
190
ref
appTerm
7141
def
betaConv
nil
7134
remove
111
ref
7141
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
175
ref
subst
427
ref
185
ref
7131
remove
nil
cons
cons
428
ref
cons
nil
cons
cons
205
ref
subst
eqMp
eqMp
nil
110
ref
7130
remove
nil
cons
cons
111
ref
7140
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
175
ref
subst
proveHyp
427
ref
185
ref
7129
remove
nil
cons
cons
429
ref
cons
nil
cons
cons
205
ref
subst
eqMp
eqMp
eqMp
absThm
eqMp
eqMp
absThm
eqMp
eqMp
nil
151
ref
7133
remove
cons
153
ref
7135
ref
cons
nil
cons
cons
nil
cons
cons
167
ref
subst
deductAntisym
eqMp
eqMp
nil
110
ref
7135
remove
cons
111
ref
7128
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
175
ref
subst
proveHyp
427
ref
7137
remove
429
ref
cons
nil
cons
cons
205
ref
subst
eqMp
eqMp
nil
110
ref
7138
remove
cons
111
ref
7125
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
175
ref
subst
proveHyp
427
ref
7139
remove
428
ref
cons
nil
cons
cons
205
ref
subst
eqMp
eqMp
subst
subst
eqMp
eqMp
nil
110
ref
6795
remove
cons
111
ref
3116
remove
cons
nil
cons
cons
nil
cons
cons
194
ref
subst
proveHyp
36
ref
"_32293"
44
ref
var
7142
def
49
ref
56
ref
7142
remove
varTerm
7143
def
appTerm
appTerm
61
ref
7143
remove
appTerm
appTerm
absTerm
7144
def
57
ref
appTerm
appTerm
refl
7144
ref
7010
ref
appTerm
betaConv
appThm
155
ref
2202
remove
appThm
49
ref
56
ref
7010
ref
appTerm
appTerm
61
ref
7010
ref
appTerm
appTerm
7145
def
refl
7146
def
appThm
trans
7144
remove
refl
7012
ref
assume
sym
appThm
eqMp
sym
6836
remove
902
ref
appTerm
7147
def
betaConv
6845
remove
nil
110
ref
6843
remove
cons
111
ref
7147
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
175
ref
subst
proveHyp
207
ref
6844
remove
7094
ref
cons
nil
cons
cons
205
ref
subst
eqMp
eqMp
nil
110
ref
71
ref
903
ref
appTerm
47
ref
48
ref
59
ref
63
ref
7012
ref
appTerm
appTerm
absTerm
7148
def
appTerm
7149
def
appTerm
nil
cons
cons
111
ref
7145
ref
nil
cons
7150
def
cons
nil
cons
7151
def
cons
nil
cons
cons
175
ref
subst
proveHyp
226
ref
226
ref
nil
139
ref
7000
ref
cons
nil
cons
nil
cons
cons
146
ref
subst
903
remove
assume
eqMp
7152
def
appThm
7149
ref
refl
appThm
nil
139
ref
7149
ref
nil
cons
cons
nil
cons
nil
cons
cons
840
ref
subst
trans
appThm
7146
remove
appThm
sym
nil
257
ref
4646
ref
71
ref
7148
ref
4647
ref
appTerm
7153
def
appTerm
7145
ref
appTerm
7154
def
absTerm
nil
cons
cons
nil
cons
nil
cons
cons
662
ref
subst
4646
remove
nil
139
ref
7154
remove
nil
cons
cons
nil
cons
nil
cons
cons
146
ref
subst
nil
110
ref
7153
ref
nil
cons
7155
def
cons
7151
ref
cons
nil
cons
cons
7156
def
126
ref
subst
7156
remove
194
ref
subst
7153
ref
betaConv
7153
remove
assume
eqMp
nil
110
ref
4649
remove
6678
remove
7011
ref
4647
remove
appTerm
7157
def
appTerm
7158
def
appTerm
nil
cons
7159
def
cons
7151
remove
cons
nil
cons
cons
7160
def
175
ref
subst
proveHyp
7160
ref
126
ref
subst
7160
remove
194
ref
subst
nil
151
ref
4648
ref
nil
cons
cons
153
ref
7158
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
7161
def
167
ref
subst
7161
remove
334
ref
subst
nil
6698
remove
153
ref
7157
ref
nil
cons
cons
nil
cons
cons
nil
cons
cons
7162
def
167
ref
subst
7162
remove
334
ref
subst
216
ref
217
ref
4648
remove
assume
appThm
7157
remove
assume
7163
def
appThm
6704
ref
trans
appThm
6702
remove
7163
remove
appThm
6704
remove
trans
appThm
528
ref
trans
sym
145
ref
eqMp
proveHyp
proveHyp
proveHyp
proveHyp
eqMp
nil
151
ref
7159
remove
cons
153
ref
7150
remove
cons
nil
cons
7164
def
cons
nil
cons
cons
167
ref
subst
deductAntisym
eqMp
eqMp
eqMp
nil
151
ref
7155
remove
cons
7164
ref
cons
nil
cons
cons
167
ref
subst
deductAntisym
eqMp
eqMp
absThm
eqMp
nil
110
ref
65
ref
258
ref
71
ref
7148
ref
797
ref
appTerm
appTerm
7145
ref
appTerm
absTerm
appTerm
nil
cons
cons
111
ref
71
ref
7149
remove
appTerm
7145
remove
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
175
ref
subst
proveHyp
256
ref
257
ref
7148
remove
nil
cons
cons
7164
remove
cons
nil
cons
cons
811
ref
subst
eqMp
eqMp
eqMp
eqMp
eqMp
eqMp
eqMp
6921
ref
proveHyp
proveHyp
proveHyp
proveHyp
proveHyp
proveHyp
eqMp
nil
151
ref
7100
remove
cons
6922
ref
cons
nil
cons
cons
167
ref
subst
deductAntisym
eqMp
eqMp
eqMp
nil
151
ref
7098
remove
cons
6922
ref
cons
nil
cons
cons
167
ref
subst
deductAntisym
eqMp
eqMp
absThm
eqMp
nil
110
ref
65
ref
258
ref
71
ref
7016
ref
797
ref
appTerm
appTerm
6806
ref
appTerm
absTerm
appTerm
nil
cons
cons
111
ref
71
ref
7017
remove
appTerm
6806
ref
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
175
ref
subst
proveHyp
256
ref
257
ref
7016
remove
nil
cons
cons
6922
ref
cons
nil
cons
cons
811
ref
subst
eqMp
eqMp
eqMp
proveHyp
proveHyp
proveHyp
proveHyp
proveHyp
eqMp
nil
151
ref
6990
remove
cons
7165
def
6922
ref
cons
nil
cons
cons
167
ref
subst
deductAntisym
eqMp
eqMp
eqMp
nil
151
ref
6985
remove
cons
7166
def
6922
ref
cons
nil
cons
cons
167
ref
subst
deductAntisym
eqMp
eqMp
absThm
eqMp
nil
110
ref
99
ref
1892
ref
71
ref
913
ref
1893
ref
appTerm
appTerm
7167
def
6806
ref
appTerm
absTerm
appTerm
nil
cons
cons
111
ref
71
ref
914
remove
appTerm
7168
def
6806
ref
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
175
ref
subst
proveHyp
207
ref
208
ref
913
remove
nil
cons
cons
7169
def
6922
ref
cons
nil
cons
cons
811
ref
subst
eqMp
eqMp
eqMp
nil
151
ref
6976
remove
cons
7170
def
6922
ref
cons
nil
cons
cons
167
ref
subst
deductAntisym
eqMp
eqMp
absThm
eqMp
nil
110
ref
99
ref
1892
ref
71
ref
915
ref
1893
ref
appTerm
appTerm
7171
def
6806
ref
appTerm
absTerm
appTerm
nil
cons
cons
111
ref
71
ref
916
remove
appTerm
7172
def
6806
ref
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
175
ref
subst
proveHyp
207
ref
208
ref
915
remove
nil
cons
cons
7173
def
6922
ref
cons
nil
cons
cons
811
ref
subst
eqMp
eqMp
eqMp
nil
151
ref
6967
remove
cons
7174
def
6922
ref
cons
nil
cons
cons
167
ref
subst
deductAntisym
eqMp
eqMp
absThm
eqMp
nil
110
ref
99
ref
1892
ref
71
ref
917
ref
1893
ref
appTerm
appTerm
7175
def
6806
ref
appTerm
absTerm
appTerm
nil
cons
cons
111
ref
71
ref
918
ref
appTerm
7176
def
6806
ref
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
175
ref
subst
proveHyp
207
ref
208
ref
917
remove
nil
cons
cons
7177
def
6922
ref
cons
nil
cons
cons
811
ref
subst
eqMp
eqMp
7178
def
nil
110
ref
71
ref
893
ref
appTerm
6806
ref
appTerm
7179
def
nil
cons
7180
def
cons
6936
ref
cons
nil
cons
cons
175
ref
subst
proveHyp
226
ref
226
ref
nil
139
ref
6961
remove
cons
nil
cons
nil
cons
cons
146
ref
subst
893
ref
assume
eqMp
7181
def
appThm
6807
ref
appThm
6938
ref
trans
appThm
6800
ref
appThm
sym
6946
ref
eqMp
eqMp
eqMp
proveHyp
proveHyp
eqMp
nil
151
ref
6959
remove
cons
5834
ref
cons
nil
cons
cons
167
ref
subst
deductAntisym
eqMp
eqMp
absThm
eqMp
eqMp
absThm
eqMp
eqMp
absThm
eqMp
eqMp
absThm
eqMp
eqMp
absThm
eqMp
nil
99
ref
6958
remove
appTerm
thm
nil
208
ref
857
ref
99
ref
29
ref
99
ref
26
ref
99
ref
542
ref
65
ref
48
ref
71
ref
49
ref
942
ref
appTerm
7182
def
6779
ref
appTerm
7183
def
appTerm
550
ref
appTerm
7184
def
absTerm
7185
def
appTerm
7186
def
absTerm
7187
def
appTerm
7188
def
absTerm
7189
def
appTerm
7190
def
absTerm
7191
def
appTerm
7192
def
absTerm
7193
def
nil
cons
cons
nil
cons
nil
cons
cons
643
ref
subst
857
ref
nil
139
ref
7192
remove
nil
cons
cons
nil
cons
nil
cons
cons
146
ref
subst
nil
208
ref
7191
remove
nil
cons
cons
nil
cons
nil
cons
cons
643
ref
subst
29
ref
nil
139
ref
7190
remove
nil
cons
cons
nil
cons
nil
cons
cons
146
ref
subst
nil
208
ref
7189
remove
nil
cons
cons
nil
cons
nil
cons
cons
643
ref
subst
26
ref
nil
139
ref
7188
remove
nil
cons
cons
nil
cons
nil
cons
cons
146
ref
subst
nil
208
ref
7187
remove
nil
cons
cons
nil
cons
nil
cons
cons
643
ref
subst
542
ref
nil
139
ref
7186
remove
nil
cons
cons
nil
cons
nil
cons
cons
146
ref
subst
nil
257
ref
7185
remove
nil
cons
cons
nil
cons
nil
cons
cons
662
ref
subst
48
ref
nil
139
ref
7184
remove
nil
cons
cons
nil
cons
nil
cons
cons
146
ref
subst
nil
110
ref
7183
remove
nil
cons
7194
def
cons
5807
ref
cons
nil
cons
cons
7195
def
126
ref
subst
7195
remove
194
ref
subst
nil
151
ref
942
ref
nil
cons
7196
def
cons
7197
def
6796
ref
cons
nil
cons
cons
7198
def
167
ref
subst
7198
remove
334
ref
subst
6802
ref
7087
remove
nil
110
ref
7037
remove
cons
6936
ref
cons
nil
cons
cons
175
ref
subst
proveHyp
226
ref
226
ref
nil
139
ref
7196
remove
cons
nil
cons
nil
cons
cons
146
ref
subst
942
ref
assume
eqMp
7199
def
appThm
6807
ref
appThm
6938
ref
trans
appThm
6800
ref
appThm
sym
6946
ref
eqMp
eqMp
eqMp
proveHyp
proveHyp
eqMp
nil
151
ref
7194
remove
cons
5834
ref
cons
nil
cons
cons
167
ref
subst
deductAntisym
eqMp
eqMp
absThm
eqMp
eqMp
absThm
eqMp
eqMp
absThm
eqMp
eqMp
absThm
eqMp
eqMp
absThm
eqMp
nil
99
ref
7193
remove
appTerm
thm
nil
208
ref
857
ref
99
ref
29
ref
99
ref
26
ref
99
ref
542
ref
65
ref
48
ref
71
ref
49
ref
969
ref
appTerm
7200
def
6779
ref
appTerm
7201
def
appTerm
550
ref
appTerm
7202
def
absTerm
7203
def
appTerm
7204
def
absTerm
7205
def
appTerm
7206
def
absTerm
7207
def
appTerm
7208
def
absTerm
7209
def
appTerm
7210
def
absTerm
7211
def
nil
cons
cons
nil
cons
nil
cons
cons
643
ref
subst
857
ref
nil
139
ref
7210
remove
nil
cons
cons
nil
cons
nil
cons
cons
146
ref
subst
nil
208
ref
7209
remove
nil
cons
cons
nil
cons
nil
cons
cons
643
ref
subst
29
ref
nil
139
ref
7208
remove
nil
cons
cons
nil
cons
nil
cons
cons
146
ref
subst
nil
208
ref
7207
remove
nil
cons
cons
nil
cons
nil
cons
cons
643
ref
subst
26
ref
nil
139
ref
7206
remove
nil
cons
cons
nil
cons
nil
cons
cons
146
ref
subst
nil
208
ref
7205
remove
nil
cons
cons
nil
cons
nil
cons
cons
643
ref
subst
542
ref
nil
139
ref
7204
remove
nil
cons
cons
nil
cons
nil
cons
cons
146
ref
subst
nil
257
ref
7203
remove
nil
cons
cons
nil
cons
nil
cons
cons
662
ref
subst
48
ref
nil
139
ref
7202
remove
nil
cons
cons
nil
cons
nil
cons
cons
146
ref
subst
nil
110
ref
7201
remove
nil
cons
7212
def
cons
5807
remove
cons
nil
cons
cons
7213
def
126
ref
subst
7213
remove
194
ref
subst
nil
151
ref
969
ref
nil
cons
7214
def
cons
7215
def
6796
remove
cons
nil
cons
cons
7216
def
167
ref
subst
7216
remove
334
ref
subst
6802
remove
226
ref
991
ref
appThm
6807
ref
appThm
sym
nil
208
ref
863
ref
71
ref
977
ref
866
ref
appTerm
7217
def
appTerm
7218
def
6806
ref
appTerm
7219
def
absTerm
nil
cons
cons
nil
cons
nil
cons
cons
643
ref
subst
863
ref
nil
139
ref
7219
remove
nil
cons
cons
nil
cons
nil
cons
cons
146
ref
subst
nil
110
ref
7217
ref
nil
cons
7220
def
cons
7221
def
6814
ref
cons
nil
cons
cons
7222
def
126
ref
subst
7222
remove
194
ref
subst
7217
ref
betaConv
7223
def
7217
remove
assume
eqMp
7224
def
nil
110
ref
976
remove
nil
cons
7225
def
cons
7226
def
6814
ref
cons
nil
cons
cons
7227
def
175
ref
subst
proveHyp
7227
ref
126
ref
subst
7227
remove
194
ref
subst
nil
151
ref
972
ref
nil
cons
7228
def
cons
7229
def
153
ref
975
ref
nil
cons
7230
def
cons
nil
cons
cons
nil
cons
cons
7231
def
167
ref
subst
7232
def
7231
remove
334
ref
subst
7233
def
542
ref
71
ref
971
remove
547
ref
appTerm
7234
def
appTerm
6828
remove
appTerm
absTerm
7235
def
866
ref
appTerm
7236
def
betaConv
26
ref
99
ref
542
ref
71
ref
970
remove
41
ref
appTerm
7237
def
547
ref
appTerm
7238
def
appTerm
6832
remove
appTerm
absTerm
appTerm
absTerm
7239
def
39
ref
appTerm
7240
def
betaConv
29
ref
99
ref
26
ref
99
ref
542
ref
71
ref
2797
remove
appTerm
4661
ref
appTerm
7241
def
absTerm
7242
def
appTerm
7243
def
absTerm
7244
def
appTerm
7245
def
absTerm
7246
def
861
ref
appTerm
7247
def
betaConv
nil
208
ref
7246
ref
nil
cons
cons
7248
def
nil
cons
nil
cons
cons
643
ref
subst
29
ref
nil
139
ref
7245
remove
nil
cons
cons
nil
cons
nil
cons
cons
146
ref
subst
nil
208
ref
7244
remove
nil
cons
cons
nil
cons
nil
cons
cons
643
ref
subst
26
ref
nil
139
ref
7243
remove
nil
cons
cons
nil
cons
nil
cons
cons
146
ref
subst
nil
208
ref
7242
remove
nil
cons
cons
nil
cons
nil
cons
cons
643
ref
subst
542
ref
nil
139
ref
7241
remove
nil
cons
cons
nil
cons
nil
cons
cons
146
ref
subst
226
ref
2789
remove
appThm
4662
ref
appThm
sym
620
ref
4699
ref
subst
eqMp
eqMp
absThm
eqMp
eqMp
absThm
eqMp
eqMp
absThm
eqMp
7249
def
nil
110
ref
99
ref
7246
ref
appTerm
7250
def
nil
cons
cons
7251
def
111
ref
7247
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
175
ref
subst
proveHyp
207
ref
7248
ref
886
ref
cons
nil
cons
cons
205
ref
subst
eqMp
eqMp
nil
110
ref
99
ref
7239
ref
appTerm
nil
cons
cons
111
ref
7240
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
175
ref
subst
proveHyp
207
ref
208
ref
7239
remove
nil
cons
cons
210
ref
cons
nil
cons
cons
205
ref
subst
eqMp
eqMp
nil
110
ref
99
ref
7235
ref
appTerm
nil
cons
cons
111
ref
7236
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
175
ref
subst
proveHyp
207
ref
208
ref
7235
remove
nil
cons
cons
6850
ref
cons
nil
cons
cons
205
ref
subst
eqMp
eqMp
nil
110
ref
71
ref
972
ref
appTerm
6857
remove
appTerm
nil
cons
cons
6814
remove
cons
nil
cons
cons
175
ref
subst
proveHyp
226
ref
226
ref
nil
139
ref
7228
ref
cons
nil
cons
nil
cons
cons
146
ref
subst
972
remove
assume
eqMp
7252
def
appThm
6859
remove
appThm
6860
remove
trans
appThm
6807
ref
appThm
sym
6863
remove
48
ref
6864
remove
6867
remove
6868
remove
6871
remove
6872
remove
6873
remove
6876
remove
6877
remove
6880
remove
6881
remove
6884
remove
6886
remove
6893
remove
542
ref
71
ref
975
ref
appTerm
6896
remove
appTerm
7253
def
absTerm
7254
def
547
ref
appTerm
7255
def
betaConv
26
ref
99
ref
7254
ref
appTerm
7256
def
absTerm
7257
def
41
ref
appTerm
7258
def
betaConv
7246
remove
866
ref
appTerm
7259
def
betaConv
7249
ref
nil
7251
remove
111
ref
7259
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
175
ref
subst
proveHyp
207
ref
7248
remove
6850
ref
cons
nil
cons
cons
205
ref
subst
eqMp
eqMp
nil
110
ref
99
ref
7257
ref
appTerm
nil
cons
cons
111
ref
7258
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
175
ref
subst
proveHyp
207
ref
208
ref
7257
remove
nil
cons
cons
213
ref
cons
nil
cons
cons
205
ref
subst
eqMp
eqMp
nil
110
ref
7256
remove
nil
cons
cons
111
ref
7255
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
175
ref
subst
proveHyp
207
ref
208
ref
7254
remove
nil
cons
cons
595
ref
cons
nil
cons
cons
205
ref
subst
eqMp
eqMp
nil
110
ref
7253
remove
nil
cons
cons
6905
remove
cons
nil
cons
cons
175
ref
subst
proveHyp
226
ref
226
ref
nil
139
ref
7230
ref
cons
nil
cons
nil
cons
cons
146
ref
subst
975
ref
assume
eqMp
7260
def
appThm
6907
remove
appThm
6908
remove
trans
appThm
6892
remove
appThm
sym
6919
remove
eqMp
eqMp
eqMp
eqMp
eqMp
6921
remove
proveHyp
proveHyp
proveHyp
proveHyp
proveHyp
eqMp
6923
remove
deductAntisym
eqMp
eqMp
eqMp
6924
remove
deductAntisym
eqMp
eqMp
absThm
eqMp
6925
remove
proveHyp
6926
remove
eqMp
eqMp
eqMp
proveHyp
proveHyp
eqMp
nil
151
ref
7225
remove
cons
7261
def
6922
ref
cons
nil
cons
cons
167
ref
subst
deductAntisym
eqMp
eqMp
eqMp
nil
151
ref
7220
remove
cons
7262
def
6922
ref
cons
nil
cons
cons
167
ref
subst
deductAntisym
eqMp
eqMp
absThm
eqMp
nil
110
ref
99
ref
1892
ref
71
ref
977
ref
1893
ref
appTerm
appTerm
7263
def
6806
ref
appTerm
absTerm
appTerm
nil
cons
cons
111
ref
71
ref
978
ref
appTerm
7264
def
6806
ref
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
175
ref
subst
proveHyp
207
ref
208
ref
977
remove
nil
cons
cons
7265
def
6922
remove
cons
nil
cons
cons
811
ref
subst
eqMp
eqMp
7266
def
nil
110
ref
71
ref
969
ref
appTerm
6806
remove
appTerm
7267
def
nil
cons
7268
def
cons
6936
remove
cons
nil
cons
cons
175
ref
subst
proveHyp
226
ref
226
ref
nil
139
ref
7214
remove
cons
nil
cons
nil
cons
cons
146
ref
subst
969
ref
assume
eqMp
7269
def
appThm
6807
remove
appThm
6938
remove
trans
appThm
6800
remove
appThm
sym
6946
remove
eqMp
eqMp
eqMp
proveHyp
proveHyp
eqMp
nil
151
ref
7212
remove
cons
5834
remove
cons
nil
cons
cons
167
ref
subst
deductAntisym
eqMp
eqMp
absThm
eqMp
eqMp
absThm
eqMp
eqMp
absThm
eqMp
eqMp
absThm
eqMp
eqMp
absThm
eqMp
nil
99
ref
7211
remove
appTerm
thm
nil
262
ref
1943
ref
99
ref
29
ref
99
ref
26
ref
99
ref
542
ref
65
ref
48
ref
71
ref
49
ref
4014
ref
appTerm
7270
def
58
ref
appTerm
appTerm
550
ref
appTerm
7271
def
absTerm
7272
def
appTerm
7273
def
absTerm
7274
def
appTerm
7275
def
absTerm
7276
def
appTerm
7277
def
absTerm
7278
def
appTerm
7279
def
absTerm
7280
def
nil
cons
cons
nil
cons
nil
cons
cons
663
ref
subst
1943
ref
nil
139
ref
7279
remove
nil
cons
cons
nil
cons
nil
cons
cons
146
ref
subst
nil
208
ref
7278
remove
nil
cons
cons
nil
cons
nil
cons
cons
643
ref
subst
29
ref
nil
139
ref
7277
remove
nil
cons
cons
nil
cons
nil
cons
cons
146
ref
subst
nil
208
ref
7276
remove
nil
cons
cons
nil
cons
nil
cons
cons
643
ref
subst
26
ref
nil
139
ref
7275
remove
nil
cons
cons
nil
cons
nil
cons
cons
146
ref
subst
nil
208
ref
7274
remove
nil
cons
cons
nil
cons
nil
cons
cons
643
ref
subst
542
ref
nil
139
ref
7273
remove
nil
cons
cons
nil
cons
nil
cons
cons
146
ref
subst
nil
257
ref
7272
remove
nil
cons
cons
nil
cons
nil
cons
cons
662
ref
subst
48
ref
nil
139
ref
7271
remove
nil
cons
cons
nil
cons
nil
cons
cons
146
ref
subst
226
ref
216
ref
4017
ref
appThm
7281
def
4032
remove
appThm
appThm
5804
remove
appThm
sym
1957
ref
5839
ref
subst
eqMp
eqMp
absThm
eqMp
eqMp
absThm
eqMp
eqMp
absThm
eqMp
eqMp
absThm
eqMp
eqMp
absThm
eqMp
nil
68
ref
7280
remove
appTerm
thm
nil
592
ref
539
ref
99
ref
29
ref
99
ref
26
ref
99
ref
542
ref
65
ref
48
ref
71
ref
5805
remove
appTerm
550
ref
appTerm
7282
def
absTerm
7283
def
appTerm
7284
def
absTerm
7285
def
appTerm
7286
def
absTerm
7287
def
appTerm
7288
def
absTerm
7289
def
appTerm
7290
def
absTerm
7291
def
nil
cons
cons
nil
cons
nil
cons
cons
2815
ref
subst
539
ref
nil
139
ref
7290
remove
nil
cons
cons
nil
cons
nil
cons
cons
146
ref
subst
nil
208
ref
7289
remove
nil
cons
cons
nil
cons
nil
cons
cons
643
ref
subst
29
ref
nil
139
ref
7288
remove
nil
cons
cons
nil
cons
nil
cons
cons
146
ref
subst
nil
208
ref
7287
remove
nil
cons
cons
nil
cons
nil
cons
cons
643
ref
subst
26
ref
nil
139
ref
7286
remove
nil
cons
cons
nil
cons
nil
cons
cons
146
ref
subst
nil
208
ref
7285
remove
nil
cons
cons
nil
cons
nil
cons
cons
643
ref
subst
542
ref
nil
139
ref
7284
remove
nil
cons
cons
nil
cons
nil
cons
cons
146
ref
subst
nil
257
ref
7283
remove
nil
cons
cons
nil
cons
nil
cons
cons
662
ref
subst
48
ref
nil
139
ref
7282
remove
nil
cons
cons
nil
cons
nil
cons
cons
146
ref
subst
5839
remove
eqMp
absThm
eqMp
eqMp
absThm
eqMp
eqMp
absThm
eqMp
eqMp
absThm
eqMp
eqMp
absThm
eqMp
nil
588
ref
7291
remove
appTerm
thm
nil
208
ref
857
ref
99
ref
29
ref
99
ref
26
ref
71
ref
49
ref
6778
ref
55
ref
appTerm
7292
def
appTerm
6778
ref
60
ref
appTerm
7293
def
appTerm
appTerm
7294
def
725
ref
542
ref
862
remove
absTerm
appTerm
7295
def
appTerm
7296
def
absTerm
7297
def
appTerm
7298
def
absTerm
7299
def
appTerm
7300
def
absTerm
7301
def
nil
cons
cons
nil
cons
nil
cons
cons
643
ref
subst
857
ref
nil
139
ref
7300
remove
nil
cons
cons
nil
cons
nil
cons
cons
146
ref
subst
nil
208
ref
7299
remove
nil
cons
cons
nil
cons
nil
cons
cons
643
ref
subst
29
ref
nil
139
ref
7298
remove
nil
cons
cons
nil
cons
nil
cons
cons
146
ref
subst
nil
208
ref
7297
remove
nil
cons
cons
nil
cons
nil
cons
cons
643
ref
subst
26
ref
nil
139
ref
7296
remove
nil
cons
cons
nil
cons
nil
cons
cons
146
ref
subst
226
ref
216
ref
nil
5996
ref
657
remove
cons
7115
ref
cons
nil
cons
cons
391
remove
430
remove
subst
7302
def
subst
appThm
nil
5996
remove
1130
remove
cons
7303
def
7115
ref
cons
nil
cons
cons
7302
ref
subst
appThm
appThm
7304
def
7295
ref
refl
appThm
sym
nil
110
ref
49
ref
7108
ref
appTerm
61
ref
6777
ref
appTerm
7305
def
appTerm
nil
cons
7306
def
cons
7307
def
111
ref
7295
remove
nil
cons
7308
def
cons
nil
cons
cons
nil
cons
cons
7309
def
126
ref
subst
7309
remove
194
ref
subst
nil
151
ref
7108
ref
nil
cons
cons
153
ref
7305
ref
nil
cons
cons
nil
cons
cons
nil
cons
cons
7310
def
167
ref
subst
7311
def
7310
remove
334
ref
subst
7312
def
997
ref
542
ref
887
ref
absThm
appThm
sym
26
ref
71
ref
7293
remove
appTerm
7313
def
725
ref
542
ref
6831
ref
absTerm
7314
def
appTerm
7315
def
appTerm
7316
def
absTerm
7317
def
39
ref
appTerm
7318
def
betaConv
2774
ref
861
ref
appTerm
7319
def
betaConv
2767
ref
nil
110
ref
2775
remove
nil
cons
cons
7320
def
111
ref
7319
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
175
ref
subst
proveHyp
207
ref
208
ref
2774
ref
nil
cons
cons
7321
def
886
ref
cons
nil
cons
cons
205
ref
subst
eqMp
eqMp
7322
def
nil
110
ref
99
ref
7317
ref
appTerm
nil
cons
cons
7323
def
111
ref
7318
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
175
ref
subst
proveHyp
207
ref
208
ref
7317
ref
nil
cons
cons
7324
def
210
ref
cons
nil
cons
cons
205
ref
subst
eqMp
eqMp
7325
def
nil
110
ref
71
ref
7292
remove
appTerm
7326
def
725
ref
542
ref
6827
ref
absTerm
7327
def
appTerm
7328
def
appTerm
nil
cons
cons
7329
def
111
ref
725
ref
542
ref
873
ref
absTerm
7330
def
appTerm
7331
def
nil
cons
7332
def
cons
nil
cons
7333
def
cons
nil
cons
cons
175
ref
subst
proveHyp
226
ref
226
ref
6778
remove
refl
7334
def
7108
ref
assume
7335
def
appThm
7116
ref
trans
appThm
7336
def
7328
ref
refl
appThm
nil
139
ref
7328
ref
nil
cons
cons
nil
cons
nil
cons
cons
840
ref
subst
trans
appThm
7337
def
7331
ref
refl
7338
def
appThm
sym
nil
208
ref
863
ref
71
ref
7327
ref
866
ref
appTerm
7339
def
appTerm
7340
def
7331
ref
appTerm
7341
def
absTerm
nil
cons
cons
nil
cons
nil
cons
cons
643
ref
subst
863
ref
nil
139
ref
7341
remove
nil
cons
cons
nil
cons
nil
cons
cons
146
ref
subst
nil
110
ref
7339
ref
nil
cons
7342
def
cons
7343
def
7333
ref
cons
nil
cons
cons
7344
def
126
ref
subst
7344
remove
194
ref
subst
7339
ref
betaConv
7339
remove
assume
eqMp
7345
def
nil
110
ref
6821
remove
cons
7346
def
7333
ref
cons
nil
cons
cons
7347
def
175
ref
subst
proveHyp
7347
ref
126
ref
subst
7347
remove
194
ref
subst
26
ref
71
ref
6852
ref
60
ref
appTerm
7348
def
appTerm
7349
def
725
ref
542
ref
870
ref
absTerm
7350
def
appTerm
7351
def
appTerm
7352
def
absTerm
7353
def
41
ref
appTerm
7354
def
betaConv
2774
ref
866
ref
appTerm
7355
def
betaConv
2767
ref
nil
7320
ref
111
ref
7355
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
175
ref
subst
proveHyp
207
ref
7321
ref
6850
ref
cons
nil
cons
cons
205
ref
subst
eqMp
eqMp
nil
110
ref
99
ref
7353
ref
appTerm
nil
cons
cons
111
ref
7354
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
175
ref
subst
proveHyp
207
ref
208
ref
7353
remove
nil
cons
cons
213
ref
cons
nil
cons
cons
205
ref
subst
eqMp
eqMp
nil
110
ref
7352
remove
nil
cons
cons
7333
ref
cons
nil
cons
cons
175
ref
subst
proveHyp
29
ref
725
ref
26
ref
6667
remove
7108
ref
appTerm
absTerm
appTerm
absTerm
7356
def
861
ref
appTerm
betaConv
sym
26
ref
49
ref
896
remove
866
ref
appTerm
appTerm
7110
ref
appTerm
absTerm
7357
def
39
ref
appTerm
betaConv
sym
216
ref
6858
remove
appThm
7358
def
7116
ref
appThm
528
ref
trans
7359
def
sym
145
ref
eqMp
eqMp
207
ref
208
ref
7357
remove
nil
cons
cons
210
ref
cons
nil
cons
cons
724
ref
subst
proveHyp
eqMp
207
ref
208
ref
7356
ref
nil
cons
cons
886
ref
cons
nil
cons
cons
724
ref
subst
proveHyp
nil
110
ref
725
ref
7356
remove
appTerm
nil
cons
cons
111
ref
6852
ref
6777
ref
appTerm
7360
def
nil
cons
7361
def
cons
nil
cons
7362
def
cons
nil
cons
cons
175
ref
subst
proveHyp
nil
7120
ref
542
ref
6849
remove
cons
nil
cons
cons
nil
cons
cons
7363
def
6057
ref
subst
eqMp
7364
def
226
ref
226
ref
217
ref
7360
ref
assume
7365
def
appThm
7366
def
7305
remove
assume
7367
def
appThm
7116
ref
trans
appThm
7368
def
7351
ref
refl
appThm
nil
139
ref
7351
ref
nil
cons
cons
nil
cons
nil
cons
cons
840
ref
subst
trans
appThm
7338
remove
appThm
sym
nil
208
ref
542
ref
71
ref
7350
ref
547
ref
appTerm
7369
def
appTerm
7331
ref
appTerm
7370
def
absTerm
nil
cons
cons
nil
cons
nil
cons
cons
643
ref
subst
542
ref
nil
139
ref
7370
remove
nil
cons
cons
nil
cons
nil
cons
cons
146
ref
subst
nil
110
ref
7369
ref
nil
cons
7371
def
cons
7333
ref
cons
nil
cons
cons
7372
def
126
ref
subst
7372
remove
194
ref
subst
7369
ref
betaConv
7369
remove
assume
eqMp
nil
110
ref
6823
ref
cons
7333
remove
cons
nil
cons
cons
7373
def
175
ref
subst
proveHyp
7373
ref
126
ref
subst
7373
remove
194
ref
subst
7330
ref
547
ref
appTerm
betaConv
sym
6816
remove
sym
7358
ref
6906
ref
appThm
528
ref
trans
sym
145
ref
eqMp
eqMp
207
ref
6931
ref
6850
ref
cons
nil
cons
cons
724
ref
subst
proveHyp
eqMp
207
ref
208
ref
7330
remove
nil
cons
cons
595
ref
cons
nil
cons
cons
724
ref
subst
proveHyp
eqMp
nil
151
ref
6823
remove
cons
153
ref
7332
remove
cons
nil
cons
7374
def
cons
nil
cons
cons
167
ref
subst
deductAntisym
eqMp
eqMp
eqMp
nil
151
ref
7371
remove
cons
7374
ref
cons
nil
cons
cons
167
ref
subst
deductAntisym
eqMp
eqMp
absThm
eqMp
nil
110
ref
99
ref
1892
ref
71
ref
7350
ref
1893
ref
appTerm
appTerm
7331
ref
appTerm
absTerm
appTerm
nil
cons
cons
111
ref
71
ref
7351
remove
appTerm
7331
ref
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
175
ref
subst
proveHyp
207
ref
208
ref
7350
remove
nil
cons
cons
7374
ref
cons
nil
cons
cons
811
ref
subst
eqMp
eqMp
proveHyp
eqMp
eqMp
nil
6822
ref
7374
ref
cons
nil
cons
cons
167
ref
subst
deductAntisym
eqMp
eqMp
eqMp
nil
151
ref
7342
remove
cons
7375
def
7374
ref
cons
nil
cons
cons
167
ref
subst
deductAntisym
eqMp
eqMp
absThm
eqMp
nil
110
ref
99
ref
1892
ref
71
ref
7327
ref
1893
ref
appTerm
appTerm
7376
def
7331
ref
appTerm
absTerm
appTerm
nil
cons
cons
111
ref
71
ref
7328
remove
appTerm
7377
def
7331
remove
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
175
ref
subst
proveHyp
207
ref
208
ref
7327
remove
nil
cons
cons
7378
def
7374
remove
cons
nil
cons
cons
811
ref
subst
eqMp
eqMp
eqMp
eqMp
proveHyp
proveHyp
eqMp
nil
151
ref
7306
remove
cons
7379
def
153
ref
7308
remove
cons
nil
cons
cons
nil
cons
cons
167
ref
subst
deductAntisym
eqMp
eqMp
eqMp
absThm
eqMp
eqMp
absThm
eqMp
eqMp
absThm
eqMp
nil
99
ref
7301
remove
appTerm
thm
nil
208
ref
857
ref
99
ref
29
ref
99
ref
26
ref
7294
ref
725
ref
542
ref
893
remove
absTerm
appTerm
7380
def
appTerm
7381
def
absTerm
7382
def
appTerm
7383
def
absTerm
7384
def
appTerm
7385
def
absTerm
7386
def
nil
cons
cons
nil
cons
nil
cons
cons
643
ref
subst
857
ref
nil
139
ref
7385
remove
nil
cons
cons
nil
cons
nil
cons
cons
146
ref
subst
nil
208
ref
7384
remove
nil
cons
cons
nil
cons
nil
cons
cons
643
ref
subst
29
ref
nil
139
ref
7383
remove
nil
cons
cons
nil
cons
nil
cons
cons
146
ref
subst
nil
208
ref
7382
remove
nil
cons
cons
nil
cons
nil
cons
cons
643
ref
subst
26
ref
nil
139
ref
7381
remove
nil
cons
cons
nil
cons
nil
cons
cons
146
ref
subst
7304
ref
7380
ref
refl
appThm
sym
nil
7307
ref
111
ref
7380
remove
nil
cons
7387
def
cons
nil
cons
cons
nil
cons
cons
7388
def
126
ref
subst
7388
remove
194
ref
subst
7311
ref
7312
ref
997
ref
542
ref
931
ref
absThm
appThm
sym
7325
remove
nil
7329
remove
111
ref
725
ref
542
ref
918
ref
absTerm
7389
def
appTerm
7390
def
nil
cons
7391
def
cons
nil
cons
7392
def
cons
nil
cons
cons
175
ref
subst
proveHyp
7337
remove
7390
ref
refl
7393
def
appThm
sym
nil
208
ref
863
ref
7340
remove
7390
ref
appTerm
7394
def
absTerm
nil
cons
cons
nil
cons
nil
cons
cons
643
ref
subst
863
ref
nil
139
ref
7394
remove
nil
cons
cons
nil
cons
nil
cons
cons
146
ref
subst
nil
7343
remove
7392
ref
cons
nil
cons
cons
7395
def
126
ref
subst
7395
remove
194
ref
subst
7345
remove
nil
7346
remove
7392
ref
cons
nil
cons
cons
7396
def
175
ref
subst
proveHyp
7396
ref
126
ref
subst
7396
remove
194
ref
subst
7317
remove
41
ref
appTerm
7397
def
betaConv
7322
remove
nil
7323
remove
111
ref
7397
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
175
ref
subst
proveHyp
207
ref
7324
remove
213
ref
cons
nil
cons
cons
205
ref
subst
eqMp
eqMp
nil
110
ref
7316
remove
nil
cons
cons
7392
ref
cons
nil
cons
cons
175
ref
subst
proveHyp
226
ref
226
ref
7334
remove
7367
ref
appThm
7116
ref
trans
appThm
7315
ref
refl
appThm
nil
139
ref
7315
ref
nil
cons
cons
nil
cons
nil
cons
cons
840
ref
subst
trans
appThm
7393
ref
appThm
sym
nil
208
ref
894
ref
71
ref
7314
ref
897
ref
appTerm
7398
def
appTerm
7390
ref
appTerm
7399
def
absTerm
nil
cons
cons
nil
cons
nil
cons
cons
643
ref
subst
894
ref
nil
139
ref
7399
remove
nil
cons
cons
nil
cons
nil
cons
cons
146
ref
subst
nil
110
ref
7398
ref
nil
cons
7400
def
cons
7392
ref
cons
nil
cons
cons
7401
def
126
ref
subst
7401
remove
194
ref
subst
7398
ref
betaConv
7398
remove
assume
eqMp
nil
110
ref
6995
remove
cons
7392
ref
cons
nil
cons
cons
7402
def
175
ref
subst
proveHyp
7402
ref
126
ref
subst
7402
remove
194
ref
subst
2772
ref
41
ref
appTerm
7403
def
betaConv
2774
remove
39
ref
appTerm
7404
def
betaConv
2767
remove
nil
7320
remove
111
ref
7404
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
175
ref
subst
proveHyp
207
ref
7321
remove
210
ref
cons
nil
cons
cons
205
ref
subst
eqMp
eqMp
nil
110
ref
2773
remove
nil
cons
cons
111
ref
7403
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
175
ref
subst
proveHyp
207
ref
208
ref
2772
remove
nil
cons
cons
213
ref
cons
nil
cons
cons
205
ref
subst
eqMp
eqMp
nil
110
ref
2771
remove
nil
cons
cons
7392
ref
cons
nil
cons
cons
175
ref
subst
proveHyp
226
ref
226
ref
217
ref
7335
remove
appThm
7405
def
7367
remove
appThm
7116
ref
trans
appThm
2770
ref
refl
appThm
nil
139
ref
2770
ref
nil
cons
cons
nil
cons
nil
cons
cons
840
ref
subst
trans
appThm
7393
ref
appThm
sym
nil
208
ref
895
ref
71
ref
2769
ref
902
ref
appTerm
7406
def
appTerm
7390
ref
appTerm
7407
def
absTerm
nil
cons
cons
nil
cons
nil
cons
cons
643
ref
subst
895
ref
nil
139
ref
7407
remove
nil
cons
cons
nil
cons
nil
cons
cons
146
ref
subst
nil
110
ref
7406
ref
nil
cons
7408
def
cons
7392
ref
cons
nil
cons
cons
7409
def
126
ref
subst
7409
remove
194
ref
subst
7406
ref
betaConv
7406
remove
assume
eqMp
nil
110
ref
7000
remove
cons
7392
ref
cons
nil
cons
cons
7410
def
175
ref
subst
proveHyp
7410
ref
126
ref
subst
7410
remove
194
ref
subst
7364
remove
7121
remove
29
ref
725
ref
26
ref
904
ref
7108
ref
appTerm
absTerm
7411
def
appTerm
absTerm
7412
def
39
ref
appTerm
betaConv
sym
7411
ref
41
ref
appTerm
betaConv
sym
216
ref
7152
remove
appThm
7413
def
7405
remove
6777
ref
refl
appThm
7116
ref
trans
appThm
528
ref
trans
sym
145
ref
eqMp
eqMp
207
ref
208
ref
7411
remove
nil
cons
cons
213
ref
cons
nil
cons
cons
724
ref
subst
proveHyp
eqMp
207
ref
208
ref
7412
ref
nil
cons
cons
210
ref
cons
nil
cons
cons
724
ref
subst
proveHyp
nil
110
ref
725
ref
7412
remove
appTerm
nil
cons
cons
111
ref
7011
ref
6777
ref
appTerm
7414
def
nil
cons
cons
nil
cons
cons
nil
cons
cons
175
ref
subst
proveHyp
nil
7120
remove
542
ref
7093
remove
cons
nil
cons
cons
nil
cons
cons
6057
remove
subst
eqMp
26
ref
71
ref
49
ref
6852
ref
7006
ref
appTerm
appTerm
7415
def
7348
ref
appTerm
appTerm
725
ref
542
ref
7021
ref
absTerm
appTerm
appTerm
absTerm
7416
def
902
ref
appTerm
7417
def
betaConv
29
ref
99
ref
26
ref
71
ref
49
ref
6852
ref
55
ref
appTerm
appTerm
7348
remove
appTerm
appTerm
725
ref
542
ref
7024
ref
absTerm
appTerm
appTerm
absTerm
appTerm
absTerm
7418
def
897
ref
appTerm
7419
def
betaConv
857
ref
99
ref
29
ref
99
ref
26
ref
7294
ref
725
ref
542
ref
942
remove
absTerm
appTerm
7420
def
appTerm
7421
def
absTerm
7422
def
appTerm
7423
def
absTerm
7424
def
appTerm
7425
def
absTerm
7426
def
866
ref
appTerm
7427
def
betaConv
nil
208
ref
7426
ref
nil
cons
cons
7428
def
nil
cons
nil
cons
cons
643
ref
subst
857
ref
nil
139
ref
7425
remove
nil
cons
cons
nil
cons
nil
cons
cons
146
ref
subst
nil
208
ref
7424
remove
nil
cons
cons
nil
cons
nil
cons
cons
643
ref
subst
29
ref
nil
139
ref
7423
remove
nil
cons
cons
nil
cons
nil
cons
cons
146
ref
subst
nil
208
ref
7422
remove
nil
cons
cons
nil
cons
nil
cons
cons
643
ref
subst
26
ref
nil
139
ref
7421
remove
nil
cons
cons
nil
cons
nil
cons
cons
146
ref
subst
7304
ref
7420
ref
refl
appThm
sym
nil
7307
ref
111
ref
7420
remove
nil
cons
7429
def
cons
nil
cons
cons
nil
cons
cons
7430
def
126
ref
subst
7430
remove
194
ref
subst
7311
ref
7312
ref
997
ref
542
ref
964
ref
absThm
appThm
sym
26
ref
7313
ref
725
ref
542
ref
7059
ref
absTerm
appTerm
appTerm
absTerm
7431
def
39
ref
appTerm
7432
def
betaConv
2786
ref
861
ref
appTerm
7433
def
betaConv
2782
ref
nil
110
ref
2787
remove
nil
cons
cons
7434
def
111
ref
7433
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
175
ref
subst
proveHyp
207
ref
208
ref
2786
ref
nil
cons
cons
7435
def
886
ref
cons
nil
cons
cons
205
ref
subst
eqMp
eqMp
nil
110
ref
99
ref
7431
ref
appTerm
nil
cons
cons
111
ref
7432
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
175
ref
subst
proveHyp
207
ref
208
ref
7431
remove
nil
cons
cons
210
ref
cons
nil
cons
cons
205
ref
subst
eqMp
eqMp
nil
110
ref
7326
ref
725
ref
542
ref
7055
ref
absTerm
7436
def
appTerm
7437
def
appTerm
nil
cons
cons
111
ref
725
ref
542
ref
951
ref
absTerm
7438
def
appTerm
7439
def
nil
cons
7440
def
cons
nil
cons
7441
def
cons
nil
cons
cons
175
ref
subst
proveHyp
226
ref
7336
ref
7437
ref
refl
appThm
nil
139
ref
7437
ref
nil
cons
cons
nil
cons
nil
cons
cons
840
ref
subst
trans
appThm
7439
ref
refl
7442
def
appThm
sym
nil
208
ref
863
ref
71
ref
7436
ref
866
ref
appTerm
7443
def
appTerm
7439
ref
appTerm
7444
def
absTerm
nil
cons
cons
nil
cons
nil
cons
cons
643
ref
subst
863
ref
nil
139
ref
7444
remove
nil
cons
cons
nil
cons
nil
cons
cons
146
ref
subst
nil
110
ref
7443
ref
nil
cons
7445
def
cons
7441
ref
cons
nil
cons
cons
7446
def
126
ref
subst
7446
remove
194
ref
subst
7443
ref
betaConv
7443
remove
assume
eqMp
nil
110
ref
7049
remove
cons
7441
ref
cons
nil
cons
cons
7447
def
175
ref
subst
proveHyp
7447
ref
126
ref
subst
7447
remove
194
ref
subst
26
ref
7349
ref
725
ref
542
ref
948
ref
absTerm
7448
def
appTerm
7449
def
appTerm
7450
def
absTerm
7451
def
41
ref
appTerm
7452
def
betaConv
2786
remove
866
ref
appTerm
7453
def
betaConv
2782
remove
nil
7434
remove
111
ref
7453
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
175
ref
subst
proveHyp
207
ref
7435
remove
6850
ref
cons
nil
cons
cons
205
ref
subst
eqMp
eqMp
nil
110
ref
99
ref
7451
ref
appTerm
nil
cons
cons
111
ref
7452
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
175
ref
subst
proveHyp
207
ref
208
ref
7451
remove
nil
cons
cons
213
ref
cons
nil
cons
cons
205
ref
subst
eqMp
eqMp
nil
110
ref
7450
remove
nil
cons
cons
7441
ref
cons
nil
cons
cons
175
ref
subst
proveHyp
29
ref
725
ref
26
ref
6738
remove
7108
ref
appTerm
absTerm
appTerm
absTerm
7454
def
861
ref
appTerm
betaConv
sym
26
ref
49
ref
7058
remove
866
ref
appTerm
appTerm
7110
ref
appTerm
absTerm
7455
def
39
ref
appTerm
betaConv
sym
216
ref
7073
remove
appThm
7456
def
7116
ref
appThm
528
ref
trans
7457
def
sym
145
ref
eqMp
eqMp
207
ref
208
ref
7455
remove
nil
cons
cons
210
ref
cons
nil
cons
cons
724
ref
subst
proveHyp
eqMp
207
ref
208
ref
7454
ref
nil
cons
cons
886
ref
cons
nil
cons
cons
724
ref
subst
proveHyp
nil
110
ref
725
ref
7454
remove
appTerm
nil
cons
cons
7362
ref
cons
nil
cons
cons
175
ref
subst
proveHyp
7363
ref
6435
remove
subst
eqMp
226
ref
7368
ref
7449
ref
refl
appThm
nil
139
ref
7449
ref
nil
cons
cons
nil
cons
nil
cons
cons
840
ref
subst
trans
appThm
7442
remove
appThm
sym
nil
208
ref
542
ref
71
ref
7448
ref
547
ref
appTerm
7458
def
appTerm
7439
ref
appTerm
7459
def
absTerm
nil
cons
cons
nil
cons
nil
cons
cons
643
ref
subst
542
ref
nil
139
ref
7459
remove
nil
cons
cons
nil
cons
nil
cons
cons
146
ref
subst
nil
110
ref
7458
ref
nil
cons
7460
def
cons
7441
ref
cons
nil
cons
cons
7461
def
126
ref
subst
7461
remove
194
ref
subst
7458
ref
betaConv
7458
remove
assume
eqMp
nil
110
ref
7051
ref
cons
7441
remove
cons
nil
cons
cons
7462
def
175
ref
subst
proveHyp
7462
ref
126
ref
subst
7462
remove
194
ref
subst
7438
ref
547
ref
appTerm
betaConv
sym
7044
remove
sym
7456
ref
7081
ref
appThm
528
ref
trans
sym
145
ref
eqMp
eqMp
207
ref
7086
ref
6850
ref
cons
nil
cons
cons
724
ref
subst
proveHyp
eqMp
207
ref
208
ref
7438
remove
nil
cons
cons
595
ref
cons
nil
cons
cons
724
ref
subst
proveHyp
eqMp
nil
151
ref
7051
remove
cons
153
ref
7440
remove
cons
nil
cons
7463
def
cons
nil
cons
cons
167
ref
subst
deductAntisym
eqMp
eqMp
eqMp
nil
151
ref
7460
remove
cons
7463
ref
cons
nil
cons
cons
167
ref
subst
deductAntisym
eqMp
eqMp
absThm
eqMp
nil
110
ref
99
ref
1892
ref
71
ref
7448
ref
1893
ref
appTerm
appTerm
7439
ref
appTerm
absTerm
appTerm
nil
cons
cons
111
ref
71
ref
7449
remove
appTerm
7439
ref
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
175
ref
subst
proveHyp
207
ref
208
ref
7448
remove
nil
cons
cons
7463
ref
cons
nil
cons
cons
811
ref
subst
eqMp
eqMp
proveHyp
eqMp
eqMp
nil
7050
remove
7463
ref
cons
nil
cons
cons
167
ref
subst
deductAntisym
eqMp
eqMp
eqMp
nil
151
ref
7445
remove
cons
7463
ref
cons
nil
cons
cons
167
ref
subst
deductAntisym
eqMp
eqMp
absThm
eqMp
nil
110
ref
99
ref
1892
ref
71
ref
7436
ref
1893
ref
appTerm
appTerm
7439
ref
appTerm
absTerm
appTerm
nil
cons
cons
111
ref
71
ref
7437
remove
appTerm
7439
remove
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
175
ref
subst
proveHyp
207
ref
208
ref
7436
remove
nil
cons
cons
7463
remove
cons
nil
cons
cons
811
ref
subst
eqMp
eqMp
eqMp
eqMp
proveHyp
proveHyp
eqMp
nil
7379
ref
153
ref
7429
remove
cons
nil
cons
cons
nil
cons
cons
167
ref
subst
deductAntisym
eqMp
eqMp
eqMp
absThm
eqMp
eqMp
absThm
eqMp
eqMp
absThm
eqMp
7464
def
nil
110
ref
99
ref
7426
remove
appTerm
7465
def
nil
cons
cons
111
ref
7427
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
175
ref
subst
proveHyp
207
ref
7428
remove
6850
ref
cons
nil
cons
cons
205
ref
subst
eqMp
eqMp
nil
110
ref
99
ref
7418
ref
appTerm
nil
cons
cons
111
ref
7419
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
175
ref
subst
proveHyp
207
ref
208
ref
7418
remove
nil
cons
cons
7092
ref
cons
nil
cons
cons
205
ref
subst
eqMp
eqMp
nil
110
ref
99
ref
7416
ref
appTerm
nil
cons
cons
111
ref
7417
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
175
ref
subst
proveHyp
207
ref
208
ref
7416
remove
nil
cons
cons
7094
ref
cons
nil
cons
cons
205
ref
subst
eqMp
eqMp
nil
110
ref
71
ref
7415
remove
6852
remove
7010
ref
appTerm
appTerm
appTerm
725
ref
542
ref
909
ref
absTerm
7466
def
appTerm
7467
def
appTerm
nil
cons
cons
7392
ref
cons
nil
cons
cons
175
ref
subst
proveHyp
226
ref
226
ref
216
ref
7366
ref
7118
ref
assume
7468
def
appThm
7116
ref
trans
appThm
7366
remove
7414
remove
assume
appThm
7116
ref
trans
appThm
528
ref
trans
appThm
7467
ref
refl
appThm
nil
139
ref
7467
ref
nil
cons
cons
nil
cons
nil
cons
cons
840
ref
subst
trans
appThm
7393
remove
appThm
sym
nil
208
ref
542
ref
71
ref
7466
ref
547
ref
appTerm
7469
def
appTerm
7390
ref
appTerm
7470
def
absTerm
nil
cons
cons
nil
cons
nil
cons
cons
643
ref
subst
542
ref
nil
139
ref
7470
remove
nil
cons
cons
nil
cons
nil
cons
cons
146
ref
subst
nil
110
ref
7469
ref
nil
cons
7471
def
cons
7392
ref
cons
nil
cons
cons
7472
def
126
ref
subst
7472
remove
194
ref
subst
7469
ref
betaConv
7469
remove
assume
eqMp
nil
110
ref
7002
ref
cons
7392
remove
cons
nil
cons
cons
7473
def
175
ref
subst
proveHyp
7473
ref
126
ref
subst
7473
remove
194
ref
subst
7389
ref
547
ref
appTerm
betaConv
sym
6970
remove
sym
6979
remove
sym
6988
remove
sym
7358
ref
7113
ref
7413
ref
7095
ref
appThm
528
ref
trans
appThm
528
ref
trans
appThm
528
ref
trans
sym
145
ref
eqMp
eqMp
207
ref
7169
ref
7094
ref
cons
nil
cons
cons
724
ref
subst
proveHyp
eqMp
207
ref
7173
ref
7092
ref
cons
nil
cons
cons
724
ref
subst
proveHyp
eqMp
207
ref
7177
ref
6850
ref
cons
nil
cons
cons
724
ref
subst
proveHyp
eqMp
207
ref
208
ref
7389
remove
nil
cons
cons
595
ref
cons
nil
cons
cons
724
ref
subst
proveHyp
eqMp
nil
151
ref
7002
remove
cons
153
ref
7391
remove
cons
nil
cons
7474
def
cons
nil
cons
cons
167
ref
subst
deductAntisym
eqMp
eqMp
eqMp
nil
151
ref
7471
remove
cons
7474
ref
cons
nil
cons
cons
167
ref
subst
deductAntisym
eqMp
eqMp
absThm
eqMp
nil
110
ref
99
ref
1892
ref
71
ref
7466
ref
1893
ref
appTerm
appTerm
7390
ref
appTerm
absTerm
appTerm
nil
cons
cons
111
ref
71
ref
7467
remove
appTerm
7390
ref
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
175
ref
subst
proveHyp
207
ref
208
ref
7466
remove
nil
cons
cons
7474
ref
cons
nil
cons
cons
811
ref
subst
eqMp
eqMp
eqMp
proveHyp
proveHyp
proveHyp
eqMp
nil
7001
remove
7474
ref
cons
nil
cons
cons
167
ref
subst
deductAntisym
eqMp
eqMp
eqMp
nil
151
ref
7408
remove
cons
7474
ref
cons
nil
cons
cons
167
ref
subst
deductAntisym
eqMp
eqMp
absThm
eqMp
nil
110
ref
99
ref
1892
ref
71
ref
2769
ref
1893
ref
appTerm
appTerm
7390
ref
appTerm
absTerm
appTerm
nil
cons
cons
111
ref
71
ref
2770
remove
appTerm
7390
ref
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
175
ref
subst
proveHyp
207
ref
208
ref
2769
remove
nil
cons
cons
7474
ref
cons
nil
cons
cons
811
ref
subst
eqMp
eqMp
eqMp
eqMp
nil
6996
remove
7474
ref
cons
nil
cons
cons
167
ref
subst
deductAntisym
eqMp
eqMp
eqMp
nil
151
ref
7400
remove
cons
7474
ref
cons
nil
cons
cons
167
ref
subst
deductAntisym
eqMp
eqMp
absThm
eqMp
nil
110
ref
99
ref
1892
ref
71
ref
7314
ref
1893
ref
appTerm
appTerm
7390
ref
appTerm
absTerm
appTerm
nil
cons
cons
111
ref
71
ref
7315
remove
appTerm
7390
ref
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
175
ref
subst
proveHyp
207
ref
208
ref
7314
remove
nil
cons
cons
7474
ref
cons
nil
cons
cons
811
ref
subst
eqMp
eqMp
eqMp
eqMp
nil
6822
remove
7474
ref
cons
nil
cons
cons
167
ref
subst
deductAntisym
eqMp
eqMp
eqMp
nil
7375
remove
7474
ref
cons
nil
cons
cons
167
ref
subst
deductAntisym
eqMp
eqMp
absThm
eqMp
nil
110
ref
99
ref
1892
ref
7376
remove
7390
ref
appTerm
absTerm
appTerm
nil
cons
cons
111
ref
7377
remove
7390
remove
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
175
ref
subst
proveHyp
207
ref
7378
remove
7474
remove
cons
nil
cons
cons
811
ref
subst
eqMp
eqMp
eqMp
eqMp
proveHyp
proveHyp
eqMp
nil
7379
ref
153
ref
7387
remove
cons
nil
cons
cons
nil
cons
cons
167
ref
subst
deductAntisym
eqMp
eqMp
eqMp
absThm
eqMp
eqMp
absThm
eqMp
eqMp
absThm
eqMp
nil
99
ref
7386
remove
appTerm
thm
7464
remove
nil
7465
remove
thm
nil
208
ref
857
ref
99
ref
29
ref
99
ref
26
ref
7294
remove
725
ref
542
ref
969
remove
absTerm
appTerm
7475
def
appTerm
7476
def
absTerm
7477
def
appTerm
7478
def
absTerm
7479
def
appTerm
7480
def
absTerm
7481
def
nil
cons
cons
nil
cons
nil
cons
cons
643
ref
subst
857
ref
nil
139
ref
7480
remove
nil
cons
cons
nil
cons
nil
cons
cons
146
ref
subst
nil
208
ref
7479
remove
nil
cons
cons
nil
cons
nil
cons
cons
643
ref
subst
29
ref
nil
139
ref
7478
remove
nil
cons
cons
nil
cons
nil
cons
cons
146
ref
subst
nil
208
ref
7477
remove
nil
cons
cons
nil
cons
nil
cons
cons
643
ref
subst
26
ref
nil
139
ref
7476
remove
nil
cons
cons
nil
cons
nil
cons
cons
146
ref
subst
7304
remove
7475
ref
refl
appThm
sym
nil
7307
remove
111
ref
7475
remove
nil
cons
7482
def
cons
nil
cons
cons
nil
cons
cons
7483
def
126
ref
subst
7483
remove
194
ref
subst
7311
remove
7312
remove
997
remove
542
ref
991
ref
absThm
appThm
sym
26
ref
7313
remove
725
ref
542
ref
7238
ref
absTerm
appTerm
appTerm
absTerm
7484
def
39
ref
appTerm
7485
def
betaConv
2798
ref
861
ref
appTerm
7486
def
betaConv
2794
ref
nil
110
ref
2799
remove
nil
cons
cons
7487
def
111
ref
7486
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
175
ref
subst
proveHyp
207
ref
208
ref
2798
ref
nil
cons
cons
7488
def
886
ref
cons
nil
cons
cons
205
ref
subst
eqMp
eqMp
nil
110
ref
99
ref
7484
ref
appTerm
nil
cons
cons
111
ref
7485
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
175
ref
subst
proveHyp
207
ref
208
ref
7484
remove
nil
cons
cons
210
ref
cons
nil
cons
cons
205
ref
subst
eqMp
eqMp
nil
110
ref
7326
remove
725
ref
542
ref
7234
ref
absTerm
7489
def
appTerm
7490
def
appTerm
nil
cons
cons
111
ref
725
ref
542
ref
978
ref
absTerm
7491
def
appTerm
7492
def
nil
cons
7493
def
cons
nil
cons
7494
def
cons
nil
cons
cons
175
ref
subst
proveHyp
226
ref
7336
remove
7490
ref
refl
appThm
nil
139
ref
7490
ref
nil
cons
cons
nil
cons
nil
cons
cons
840
ref
subst
trans
appThm
7492
ref
refl
7495
def
appThm
sym
nil
208
ref
863
ref
71
ref
7489
ref
866
ref
appTerm
7496
def
appTerm
7492
ref
appTerm
7497
def
absTerm
nil
cons
cons
nil
cons
nil
cons
cons
643
ref
subst
863
ref
nil
139
ref
7497
remove
nil
cons
cons
nil
cons
nil
cons
cons
146
ref
subst
nil
110
ref
7496
ref
nil
cons
7498
def
cons
7494
ref
cons
nil
cons
cons
7499
def
126
ref
subst
7499
remove
194
ref
subst
7496
ref
betaConv
7496
remove
assume
eqMp
nil
110
ref
7228
remove
cons
7494
ref
cons
nil
cons
cons
7500
def
175
ref
subst
proveHyp
7500
ref
126
ref
subst
7500
remove
194
ref
subst
26
ref
7349
remove
725
ref
542
ref
975
ref
absTerm
7501
def
appTerm
7502
def
appTerm
7503
def
absTerm
7504
def
41
ref
appTerm
7505
def
betaConv
2798
remove
866
ref
appTerm
7506
def
betaConv
2794
remove
nil
7487
remove
111
ref
7506
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
175
ref
subst
proveHyp
207
ref
7488
remove
6850
ref
cons
nil
cons
cons
205
ref
subst
eqMp
eqMp
nil
110
ref
99
ref
7504
ref
appTerm
nil
cons
cons
111
ref
7505
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
175
ref
subst
proveHyp
207
ref
208
ref
7504
remove
nil
cons
cons
213
ref
cons
nil
cons
cons
205
ref
subst
eqMp
eqMp
nil
110
ref
7503
remove
nil
cons
cons
7494
ref
cons
nil
cons
cons
175
ref
subst
proveHyp
29
ref
725
ref
26
ref
6767
remove
7108
remove
appTerm
absTerm
appTerm
absTerm
7507
def
861
ref
appTerm
betaConv
sym
26
ref
49
ref
7237
remove
866
ref
appTerm
appTerm
7110
ref
appTerm
absTerm
7508
def
39
ref
appTerm
betaConv
sym
216
ref
7252
remove
appThm
7509
def
7116
remove
appThm
528
ref
trans
7510
def
sym
145
ref
eqMp
eqMp
207
ref
208
ref
7508
remove
nil
cons
cons
210
ref
cons
nil
cons
cons
724
ref
subst
proveHyp
eqMp
207
ref
208
ref
7507
ref
nil
cons
cons
886
ref
cons
nil
cons
cons
724
ref
subst
proveHyp
nil
110
ref
725
ref
7507
remove
appTerm
nil
cons
cons
7362
remove
cons
nil
cons
cons
175
ref
subst
proveHyp
7363
remove
6615
remove
subst
eqMp
226
ref
7368
remove
7502
ref
refl
appThm
nil
139
ref
7502
ref
nil
cons
cons
nil
cons
nil
cons
cons
840
ref
subst
trans
appThm
7495
remove
appThm
sym
nil
208
ref
542
ref
71
ref
7501
ref
547
ref
appTerm
7511
def
appTerm
7492
ref
appTerm
7512
def
absTerm
nil
cons
cons
nil
cons
nil
cons
cons
643
ref
subst
542
ref
nil
139
ref
7512
remove
nil
cons
cons
nil
cons
nil
cons
cons
146
ref
subst
nil
110
ref
7511
ref
nil
cons
7513
def
cons
7494
ref
cons
nil
cons
cons
7514
def
126
ref
subst
7514
remove
194
ref
subst
7511
ref
betaConv
7511
remove
assume
eqMp
nil
110
ref
7230
ref
cons
7494
remove
cons
nil
cons
cons
7515
def
175
ref
subst
proveHyp
7515
ref
126
ref
subst
7515
remove
194
ref
subst
7491
ref
547
ref
appTerm
betaConv
sym
7223
remove
sym
7509
ref
7260
ref
appThm
528
ref
trans
sym
145
ref
eqMp
eqMp
207
ref
7265
ref
6850
ref
cons
nil
cons
cons
724
ref
subst
proveHyp
eqMp
207
ref
208
ref
7491
remove
nil
cons
cons
595
ref
cons
nil
cons
cons
724
ref
subst
proveHyp
eqMp
nil
151
ref
7230
remove
cons
153
ref
7493
remove
cons
nil
cons
7516
def
cons
nil
cons
cons
167
ref
subst
deductAntisym
eqMp
eqMp
eqMp
nil
151
ref
7513
remove
cons
7516
ref
cons
nil
cons
cons
167
ref
subst
deductAntisym
eqMp
eqMp
absThm
eqMp
nil
110
ref
99
ref
1892
ref
71
ref
7501
ref
1893
ref
appTerm
appTerm
7492
ref
appTerm
absTerm
appTerm
nil
cons
cons
111
ref
71
ref
7502
remove
appTerm
7492
ref
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
175
ref
subst
proveHyp
207
ref
208
ref
7501
remove
nil
cons
cons
7516
ref
cons
nil
cons
cons
811
ref
subst
eqMp
eqMp
proveHyp
eqMp
eqMp
nil
7229
remove
7516
ref
cons
nil
cons
cons
167
ref
subst
deductAntisym
eqMp
eqMp
eqMp
nil
151
ref
7498
remove
cons
7516
ref
cons
nil
cons
cons
167
ref
subst
deductAntisym
eqMp
eqMp
absThm
eqMp
nil
110
ref
99
ref
1892
ref
71
ref
7489
ref
1893
ref
appTerm
appTerm
7492
ref
appTerm
absTerm
appTerm
nil
cons
cons
111
ref
71
ref
7490
remove
appTerm
7492
remove
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
175
ref
subst
proveHyp
207
ref
208
ref
7489
remove
nil
cons
cons
7516
remove
cons
nil
cons
cons
811
ref
subst
eqMp
eqMp
eqMp
eqMp
proveHyp
proveHyp
eqMp
nil
7379
remove
153
ref
7482
remove
cons
nil
cons
cons
nil
cons
cons
167
ref
subst
deductAntisym
eqMp
eqMp
eqMp
absThm
eqMp
eqMp
absThm
eqMp
eqMp
absThm
eqMp
nil
99
ref
7481
remove
appTerm
thm
nil
262
ref
2291
ref
99
ref
2313
ref
68
ref
2343
ref
99
ref
2360
ref
36
ref
10
ref
2322
ref
appTerm
2369
ref
appTerm
appTerm
2895
remove
10
ref
2314
ref
appTerm
2361
ref
appTerm
appTerm
appTerm
7517
def
absTerm
7518
def
appTerm
7519
def
absTerm
7520
def
appTerm
7521
def
absTerm
7522
def
appTerm
7523
def
absTerm
7524
def
nil
cons
cons
nil
cons
nil
cons
cons
663
ref
subst
2291
ref
nil
139
ref
7523
remove
nil
cons
cons
nil
cons
nil
cons
cons
146
ref
subst
nil
208
ref
7522
remove
nil
cons
cons
nil
cons
nil
cons
cons
643
ref
subst
2313
ref
nil
139
ref
7521
remove
nil
cons
cons
nil
cons
nil
cons
cons
146
ref
subst
nil
262
ref
7520
remove
nil
cons
cons
nil
cons
nil
cons
cons
663
ref
subst
2343
ref
nil
139
ref
7519
remove
nil
cons
cons
nil
cons
nil
cons
cons
146
ref
subst
nil
208
ref
7518
remove
nil
cons
cons
nil
cons
nil
cons
cons
643
ref
subst
2360
ref
nil
139
ref
7517
remove
nil
cons
cons
nil
cons
nil
cons
cons
146
ref
subst
155
ref
19
ref
2322
ref
refl
7525
def
appThm
3035
ref
appThm
appThm
3033
remove
19
ref
2314
ref
refl
7526
def
appThm
3034
ref
appThm
appThm
appThm
sym
25
ref
3945
ref
subst
eqMp
eqMp
absThm
eqMp
eqMp
absThm
eqMp
eqMp
absThm
eqMp
eqMp
absThm
eqMp
nil
68
ref
7524
remove
appTerm
thm
nil
262
ref
2291
ref
99
ref
2313
ref
68
ref
2343
ref
99
ref
2360
ref
36
ref
436
ref
2322
ref
appTerm
2369
ref
appTerm
appTerm
4562
remove
436
ref
2314
ref
appTerm
2361
ref
appTerm
appTerm
appTerm
7527
def
absTerm
7528
def
appTerm
7529
def
absTerm
7530
def
appTerm
7531
def
absTerm
7532
def
appTerm
7533
def
absTerm
7534
def
nil
cons
cons
nil
cons
nil
cons
cons
663
ref
subst
2291
ref
nil
139
ref
7533
remove
nil
cons
cons
nil
cons
nil
cons
cons
146
ref
subst
nil
208
ref
7532
remove
nil
cons
cons
nil
cons
nil
cons
cons
643
ref
subst
2313
ref
nil
139
ref
7531
remove
nil
cons
cons
nil
cons
nil
cons
cons
146
ref
subst
nil
262
ref
7530
remove
nil
cons
cons
nil
cons
nil
cons
cons
663
ref
subst
2343
ref
nil
139
ref
7529
remove
nil
cons
cons
nil
cons
nil
cons
cons
146
ref
subst
nil
208
ref
7528
remove
nil
cons
cons
nil
cons
nil
cons
cons
643
ref
subst
2360
ref
nil
139
ref
7527
remove
nil
cons
cons
nil
cons
nil
cons
cons
146
ref
subst
155
ref
439
ref
7525
ref
appThm
3035
ref
appThm
appThm
4619
remove
439
ref
7526
ref
appThm
3034
ref
appThm
appThm
appThm
sym
441
ref
3945
ref
subst
eqMp
eqMp
absThm
eqMp
eqMp
absThm
eqMp
eqMp
absThm
eqMp
eqMp
absThm
eqMp
nil
68
ref
7534
remove
appTerm
thm
nil
262
ref
2291
ref
99
ref
2313
ref
68
ref
2343
ref
99
ref
2360
ref
36
ref
442
ref
2322
ref
appTerm
2369
ref
appTerm
appTerm
49
ref
443
remove
2292
ref
appTerm
2344
ref
appTerm
appTerm
7535
def
442
ref
2314
ref
appTerm
2361
ref
appTerm
appTerm
appTerm
7536
def
absTerm
7537
def
appTerm
7538
def
absTerm
7539
def
appTerm
7540
def
absTerm
7541
def
appTerm
7542
def
absTerm
7543
def
nil
cons
cons
nil
cons
nil
cons
cons
663
ref
subst
2291
ref
nil
139
ref
7542
remove
nil
cons
cons
nil
cons
nil
cons
cons
146
ref
subst
nil
208
ref
7541
remove
nil
cons
cons
nil
cons
nil
cons
cons
643
ref
subst
2313
ref
nil
139
ref
7540
remove
nil
cons
cons
nil
cons
nil
cons
cons
146
ref
subst
nil
262
ref
7539
remove
nil
cons
cons
nil
cons
nil
cons
cons
663
ref
subst
2343
ref
nil
139
ref
7538
remove
nil
cons
cons
nil
cons
nil
cons
cons
146
ref
subst
nil
208
ref
7537
remove
nil
cons
cons
nil
cons
nil
cons
cons
643
ref
subst
2360
ref
nil
139
ref
7536
remove
nil
cons
cons
nil
cons
nil
cons
cons
146
ref
subst
155
ref
445
ref
7525
ref
appThm
3035
ref
appThm
appThm
7535
remove
refl
445
ref
7526
ref
appThm
3034
ref
appThm
appThm
appThm
sym
447
ref
3945
ref
subst
eqMp
eqMp
absThm
eqMp
eqMp
absThm
eqMp
eqMp
absThm
eqMp
eqMp
absThm
eqMp
nil
68
ref
7543
remove
appTerm
thm
nil
208
ref
29
ref
99
ref
26
ref
65
ref
66
ref
68
ref
69
ref
68
ref
70
ref
71
ref
4024
ref
83
ref
appTerm
appTerm
1004
ref
appTerm
7544
def
absTerm
7545
def
appTerm
7546
def
absTerm
7547
def
appTerm
7548
def
absTerm
7549
def
appTerm
7550
def
absTerm
7551
def
appTerm
7552
def
absTerm
7553
def
nil
cons
cons
nil
cons
nil
cons
cons
643
ref
subst
29
ref
nil
139
ref
7552
remove
nil
cons
cons
nil
cons
nil
cons
cons
146
ref
subst
nil
208
ref
7551
remove
nil
cons
cons
nil
cons
nil
cons
cons
643
ref
subst
26
ref
nil
139
ref
7550
remove
nil
cons
cons
nil
cons
nil
cons
cons
146
ref
subst
nil
257
ref
7549
remove
nil
cons
cons
nil
cons
nil
cons
cons
662
ref
subst
66
ref
nil
139
ref
7548
remove
nil
cons
cons
nil
cons
nil
cons
cons
146
ref
subst
nil
262
ref
7547
remove
nil
cons
cons
nil
cons
nil
cons
cons
663
ref
subst
69
ref
nil
139
ref
7546
remove
nil
cons
cons
nil
cons
nil
cons
cons
146
ref
subst
nil
262
ref
7545
remove
nil
cons
cons
nil
cons
nil
cons
cons
663
ref
subst
70
ref
nil
139
ref
7544
remove
nil
cons
cons
nil
cons
nil
cons
cons
146
ref
subst
226
ref
4031
ref
3286
ref
appThm
appThm
1004
remove
refl
appThm
sym
25
ref
3305
ref
subst
eqMp
eqMp
absThm
eqMp
eqMp
absThm
eqMp
eqMp
absThm
eqMp
eqMp
absThm
eqMp
eqMp
absThm
eqMp
nil
99
ref
7553
remove
appTerm
thm
nil
208
ref
29
ref
99
ref
26
ref
65
ref
66
ref
68
ref
69
ref
68
ref
70
ref
71
ref
4062
ref
83
ref
appTerm
appTerm
1909
ref
appTerm
7554
def
absTerm
7555
def
appTerm
7556
def
absTerm
7557
def
appTerm
7558
def
absTerm
7559
def
appTerm
7560
def
absTerm
7561
def
appTerm
7562
def
absTerm
7563
def
nil
cons
cons
nil
cons
nil
cons
cons
643
ref
subst
29
ref
nil
139
ref
7562
remove
nil
cons
cons
nil
cons
nil
cons
cons
146
ref
subst
nil
208
ref
7561
remove
nil
cons
cons
nil
cons
nil
cons
cons
643
ref
subst
26
ref
nil
139
ref
7560
remove
nil
cons
cons
nil
cons
nil
cons
cons
146
ref
subst
nil
257
ref
7559
remove
nil
cons
cons
nil
cons
nil
cons
cons
662
ref
subst
66
ref
nil
139
ref
7558
remove
nil
cons
cons
nil
cons
nil
cons
cons
146
ref
subst
nil
262
ref
7557
remove
nil
cons
cons
nil
cons
nil
cons
cons
663
ref
subst
69
ref
nil
139
ref
7556
remove
nil
cons
cons
nil
cons
nil
cons
cons
146
ref
subst
nil
262
ref
7555
remove
nil
cons
cons
nil
cons
nil
cons
cons
663
ref
subst
70
ref
nil
139
ref
7554
remove
nil
cons
cons
nil
cons
nil
cons
cons
146
ref
subst
226
ref
4069
ref
3286
ref
appThm
appThm
1909
remove
refl
appThm
sym
441
ref
3305
ref
subst
eqMp
eqMp
absThm
eqMp
eqMp
absThm
eqMp
eqMp
absThm
eqMp
eqMp
absThm
eqMp
eqMp
absThm
eqMp
nil
99
ref
7563
remove
appTerm
thm
nil
208
ref
29
ref
99
ref
26
ref
65
ref
66
ref
68
ref
69
ref
68
ref
70
ref
71
ref
4070
ref
83
remove
appTerm
appTerm
1914
ref
appTerm
7564
def
absTerm
7565
def
appTerm
7566
def
absTerm
7567
def
appTerm
7568
def
absTerm
7569
def
appTerm
7570
def
absTerm
7571
def
appTerm
7572
def
absTerm
7573
def
nil
cons
cons
nil
cons
nil
cons
cons
643
ref
subst
29
ref
nil
139
ref
7572
remove
nil
cons
cons
nil
cons
nil
cons
cons
146
ref
subst
nil
208
ref
7571
remove
nil
cons
cons
nil
cons
nil
cons
cons
643
ref
subst
26
ref
nil
139
ref
7570
remove
nil
cons
cons
nil
cons
nil
cons
cons
146
ref
subst
nil
257
ref
7569
remove
nil
cons
cons
nil
cons
nil
cons
cons
662
ref
subst
66
ref
nil
139
ref
7568
remove
nil
cons
cons
nil
cons
nil
cons
cons
146
ref
subst
nil
262
ref
7567
remove
nil
cons
cons
nil
cons
nil
cons
cons
663
ref
subst
69
ref
nil
139
ref
7566
remove
nil
cons
cons
nil
cons
nil
cons
cons
146
ref
subst
nil
262
ref
7565
remove
nil
cons
cons
nil
cons
nil
cons
cons
663
ref
subst
70
ref
nil
139
ref
7564
remove
nil
cons
cons
nil
cons
nil
cons
cons
146
ref
subst
226
ref
4077
ref
3286
remove
appThm
appThm
1914
remove
refl
appThm
sym
447
ref
3305
remove
subst
eqMp
eqMp
absThm
eqMp
eqMp
absThm
eqMp
eqMp
absThm
eqMp
eqMp
absThm
eqMp
eqMp
absThm
eqMp
nil
99
ref
7573
remove
appTerm
thm
6846
remove
nil
6847
remove
thm
7070
remove
nil
7071
remove
thm
7249
remove
nil
7250
remove
thm
nil
208
ref
29
ref
65
ref
66
ref
68
ref
227
ref
65
ref
2856
ref
71
ref
49
ref
234
remove
appTerm
2914
ref
appTerm
appTerm
1607
ref
"Number.Natural.^"
const
455
ref
constTerm
301
remove
240
ref
appTerm
7574
def
appTerm
7575
def
74
ref
appTerm
7576
def
appTerm
"Number.Natural.Bits.fromList"
const
1
ref
2860
ref
53
ref
cons
opType
constTerm
7577
def
2870
ref
appTerm
7578
def
appTerm
7579
def
appTerm
7580
def
absTerm
7581
def
appTerm
7582
def
absTerm
7583
def
appTerm
7584
def
absTerm
7585
def
appTerm
7586
def
absTerm
7587
def
nil
cons
cons
nil
cons
nil
cons
cons
643
ref
subst
29
ref
nil
139
ref
7586
remove
nil
cons
cons
nil
cons
nil
cons
cons
146
ref
subst
nil
257
ref
7585
remove
nil
cons
cons
nil
cons
nil
cons
cons
662
ref
subst
66
ref
nil
139
ref
7584
remove
nil
cons
cons
nil
cons
nil
cons
cons
146
ref
subst
nil
262
ref
7583
remove
nil
cons
cons
nil
cons
nil
cons
cons
663
ref
subst
227
ref
nil
139
ref
7582
remove
nil
cons
cons
nil
cons
nil
cons
cons
146
ref
subst
nil
257
ref
7581
remove
nil
cons
cons
nil
cons
nil
cons
cons
662
ref
subst
2856
ref
nil
139
ref
7580
remove
nil
cons
cons
nil
cons
nil
cons
cons
146
ref
subst
226
ref
216
ref
266
ref
appThm
2914
ref
refl
appThm
appThm
7579
ref
refl
appThm
sym
nil
110
ref
49
ref
244
ref
appTerm
2914
ref
appTerm
nil
cons
7588
def
cons
111
ref
7579
remove
nil
cons
7589
def
cons
nil
cons
cons
nil
cons
cons
7590
def
126
ref
subst
7590
remove
194
ref
subst
nil
151
ref
2155
remove
cons
153
ref
2914
ref
nil
cons
7591
def
cons
nil
cons
cons
nil
cons
cons
7592
def
167
ref
subst
7592
remove
334
ref
subst
"Number.Natural.Bits.shiftLeft"
const
455
ref
constTerm
7593
def
refl
7577
ref
refl
7594
def
2856
ref
2862
ref
2864
ref
243
ref
appTerm
2866
ref
appTerm
7595
def
appTerm
2915
remove
4554
ref
appTerm
appTerm
absTerm
7596
def
2866
ref
appTerm
7597
def
betaConv
227
ref
65
ref
7596
ref
appTerm
7598
def
absTerm
7599
def
233
ref
appTerm
7600
def
betaConv
nil
68
ref
7599
ref
appTerm
7601
def
axiom
nil
110
ref
7601
remove
nil
cons
cons
111
ref
7600
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
175
ref
subst
proveHyp
261
ref
262
ref
7599
remove
nil
cons
cons
265
ref
cons
nil
cons
cons
205
ref
subst
eqMp
eqMp
nil
110
ref
7598
remove
nil
cons
cons
111
ref
7597
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
175
ref
subst
proveHyp
256
ref
257
ref
7596
remove
nil
cons
cons
2925
ref
cons
nil
cons
cons
205
ref
subst
eqMp
eqMp
7602
def
2912
ref
refl
nil
139
ref
7591
ref
cons
nil
cons
nil
cons
cons
146
ref
subst
2914
ref
assume
eqMp
appThm
4554
ref
refl
appThm
trans
appThm
nil
"b"
3
ref
var
7603
def
382
remove
cons
nil
cons
nil
cons
cons
7603
ref
52
ref
7577
ref
2912
ref
7603
remove
varTerm
7604
def
appTerm
4554
ref
appTerm
appTerm
appTerm
"Number.Natural.fromBool"
const
1
ref
3
ref
53
remove
cons
opType
constTerm
7605
def
7604
ref
appTerm
appTerm
absTerm
7606
def
7604
ref
appTerm
7607
def
betaConv
nil
343
ref
7606
ref
appTerm
7608
def
axiom
nil
110
ref
7608
remove
nil
cons
cons
111
ref
7607
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
175
ref
subst
proveHyp
345
ref
346
ref
7606
remove
nil
cons
cons
347
ref
7604
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
205
ref
subst
eqMp
eqMp
subst
nil
52
ref
7605
ref
131
ref
appTerm
appTerm
240
ref
appTerm
axiom
trans
trans
appThm
1180
remove
appThm
nil
273
remove
nil
cons
cons
271
ref
52
ref
7593
ref
240
ref
appTerm
275
ref
appTerm
appTerm
7575
remove
275
ref
appTerm
appTerm
absTerm
7609
def
275
ref
appTerm
7610
def
betaConv
nil
65
ref
7609
ref
appTerm
7611
def
axiom
nil
110
ref
7611
remove
nil
cons
cons
111
ref
7610
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
175
ref
subst
proveHyp
256
ref
257
ref
7609
remove
nil
cons
cons
291
ref
cons
nil
cons
cons
205
ref
subst
eqMp
eqMp
subst
trans
36
ref
"_31850"
44
ref
var
7612
def
1607
ref
7612
remove
varTerm
appTerm
7578
ref
appTerm
absTerm
7613
def
7576
ref
appTerm
7614
def
appTerm
refl
7613
ref
7593
ref
7577
ref
7595
remove
appTerm
7615
def
appTerm
74
ref
appTerm
7616
def
appTerm
betaConv
appThm
155
ref
7614
remove
betaConv
appThm
1607
ref
7616
ref
appTerm
7578
ref
appTerm
7617
def
refl
appThm
trans
7613
remove
refl
52
ref
7616
remove
appTerm
7576
remove
appTerm
assume
sym
appThm
eqMp
sym
48
ref
702
ref
243
ref
appTerm
absTerm
7618
def
240
ref
appTerm
betaConv
sym
244
remove
assume
eqMp
256
ref
257
ref
7618
ref
nil
cons
cons
704
ref
cons
nil
cons
cons
724
ref
subst
proveHyp
nil
110
ref
47
ref
7618
remove
appTerm
nil
cons
cons
111
ref
7617
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
175
ref
subst
proveHyp
nil
272
remove
1918
ref
nil
cons
cons
nil
cons
cons
2856
ref
71
ref
47
ref
48
ref
728
remove
absTerm
7619
def
appTerm
7620
def
appTerm
7621
def
1607
remove
7593
ref
7577
ref
2867
ref
appTerm
7622
def
appTerm
7623
def
275
ref
appTerm
appTerm
7578
ref
appTerm
7624
def
appTerm
7625
def
absTerm
7626
def
2866
ref
appTerm
7627
def
betaConv
29
ref
65
ref
7626
ref
appTerm
7628
def
absTerm
7629
def
39
ref
appTerm
7630
def
betaConv
271
ref
99
ref
7629
ref
appTerm
7631
def
absTerm
7632
def
275
ref
appTerm
7633
def
betaConv
26
ref
65
ref
7632
ref
appTerm
7634
def
absTerm
7635
def
41
ref
appTerm
7636
def
betaConv
nil
99
ref
29
ref
65
ref
271
ref
65
ref
48
ref
99
ref
26
ref
65
ref
2856
ref
2023
remove
7624
ref
appTerm
absTerm
7637
def
appTerm
7638
def
absTerm
7639
def
appTerm
7640
def
absTerm
7641
def
appTerm
7642
def
absTerm
7643
def
appTerm
7644
def
absTerm
7645
def
appTerm
7646
def
axiom
nil
110
ref
7646
ref
nil
cons
7647
def
cons
7648
def
111
ref
99
ref
7635
ref
appTerm
nil
cons
7649
def
cons
nil
cons
cons
nil
cons
cons
7650
def
175
ref
subst
proveHyp
7650
ref
126
ref
subst
7650
remove
194
ref
subst
nil
208
ref
7635
remove
nil
cons
cons
7651
def
nil
cons
nil
cons
cons
643
ref
subst
26
ref
nil
139
ref
7634
remove
nil
cons
7652
def
cons
nil
cons
nil
cons
cons
146
ref
subst
nil
257
ref
7632
remove
nil
cons
cons
7653
def
nil
cons
nil
cons
cons
662
ref
subst
271
ref
nil
139
ref
7631
remove
nil
cons
7654
def
cons
nil
cons
nil
cons
cons
146
ref
subst
nil
208
ref
7629
remove
nil
cons
cons
7655
def
nil
cons
nil
cons
cons
643
ref
subst
29
ref
nil
139
ref
7628
remove
nil
cons
7656
def
cons
nil
cons
nil
cons
cons
146
ref
subst
nil
257
ref
7626
remove
nil
cons
cons
7657
def
nil
cons
nil
cons
cons
662
ref
subst
2856
ref
nil
139
ref
7625
remove
nil
cons
cons
nil
cons
nil
cons
cons
146
ref
subst
nil
110
ref
7620
remove
nil
cons
7658
def
cons
7659
def
111
ref
7624
ref
nil
cons
7660
def
cons
nil
cons
7661
def
cons
nil
cons
cons
7662
def
126
ref
subst
7662
remove
194
ref
subst
nil
7648
ref
7661
ref
cons
nil
cons
cons
7663
def
175
ref
subst
nil
7659
remove
111
ref
71
ref
7646
remove
appTerm
7624
remove
appTerm
7664
def
nil
cons
7665
def
cons
nil
cons
7666
def
cons
nil
cons
cons
175
ref
subst
nil
257
ref
48
ref
71
ref
7619
ref
57
ref
appTerm
7667
def
appTerm
7664
ref
appTerm
7668
def
absTerm
nil
cons
cons
nil
cons
nil
cons
cons
662
ref
subst
48
ref
nil
139
ref
7668
remove
nil
cons
cons
nil
cons
nil
cons
cons
146
ref
subst
nil
110
ref
7667
ref
nil
cons
7669
def
cons
7666
ref
cons
nil
cons
cons
7670
def
126
ref
subst
7670
remove
194
ref
subst
7667
ref
betaConv
7667
remove
assume
eqMp
nil
2055
ref
7666
remove
cons
nil
cons
cons
7671
def
175
ref
subst
proveHyp
7671
ref
126
ref
subst
7671
remove
194
ref
subst
7663
ref
126
ref
subst
7663
remove
194
ref
subst
nil
2055
remove
7661
remove
cons
nil
cons
cons
175
ref
subst
7637
ref
2866
ref
appTerm
7672
def
betaConv
7639
ref
41
ref
appTerm
7673
def
betaConv
7641
ref
57
ref
appTerm
7674
def
betaConv
7643
ref
275
ref
appTerm
7675
def
betaConv
7645
ref
39
ref
appTerm
7676
def
betaConv
nil
7648
remove
111
ref
7676
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
175
ref
subst
207
ref
208
ref
7645
remove
nil
cons
cons
210
ref
cons
nil
cons
cons
205
ref
subst
eqMp
eqMp
nil
110
ref
7644
remove
nil
cons
cons
111
ref
7675
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
175
ref
subst
proveHyp
256
ref
257
ref
7643
remove
nil
cons
cons
291
ref
cons
nil
cons
cons
205
ref
subst
eqMp
eqMp
nil
110
ref
7642
remove
nil
cons
cons
111
ref
7674
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
175
ref
subst
proveHyp
256
ref
257
ref
7641
remove
nil
cons
cons
293
ref
cons
nil
cons
cons
205
ref
subst
eqMp
eqMp
nil
110
ref
7640
remove
nil
cons
cons
111
ref
7673
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
175
ref
subst
proveHyp
207
ref
208
ref
7639
remove
nil
cons
cons
213
ref
cons
nil
cons
cons
205
ref
subst
eqMp
eqMp
nil
110
ref
7638
remove
nil
cons
cons
111
ref
7672
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
175
ref
subst
proveHyp
256
ref
257
ref
7637
remove
nil
cons
cons
2925
ref
cons
nil
cons
cons
205
ref
subst
eqMp
eqMp
eqMp
eqMp
nil
151
ref
7647
remove
cons
7677
def
153
ref
7660
remove
cons
nil
cons
7678
def
cons
nil
cons
cons
167
ref
subst
deductAntisym
eqMp
eqMp
nil
2063
remove
153
ref
7665
remove
cons
nil
cons
7679
def
cons
nil
cons
cons
167
ref
subst
deductAntisym
eqMp
eqMp
eqMp
nil
151
ref
7669
remove
cons
7679
ref
cons
nil
cons
cons
167
ref
subst
deductAntisym
eqMp
eqMp
absThm
eqMp
nil
110
ref
65
ref
258
ref
71
ref
7619
ref
797
ref
appTerm
appTerm
7664
ref
appTerm
absTerm
appTerm
nil
cons
cons
111
ref
7621
remove
7664
remove
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
175
ref
subst
proveHyp
256
ref
257
ref
7619
remove
nil
cons
cons
7679
remove
cons
nil
cons
cons
811
ref
subst
eqMp
eqMp
eqMp
eqMp
nil
151
ref
7658
remove
cons
7678
remove
cons
nil
cons
cons
167
ref
subst
deductAntisym
eqMp
eqMp
absThm
eqMp
eqMp
absThm
eqMp
eqMp
absThm
eqMp
eqMp
absThm
eqMp
eqMp
nil
7677
remove
153
ref
7649
ref
cons
nil
cons
cons
nil
cons
cons
167
ref
subst
deductAntisym
eqMp
eqMp
nil
110
ref
7649
remove
cons
111
ref
7636
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
175
ref
subst
proveHyp
207
ref
7651
remove
213
ref
cons
nil
cons
cons
205
ref
subst
eqMp
eqMp
nil
110
ref
7652
remove
cons
111
ref
7633
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
175
ref
subst
proveHyp
256
ref
7653
remove
291
ref
cons
nil
cons
cons
205
ref
subst
eqMp
eqMp
nil
110
ref
7654
remove
cons
111
ref
7630
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
175
ref
subst
proveHyp
207
ref
7655
remove
210
ref
cons
nil
cons
cons
205
ref
subst
eqMp
eqMp
nil
110
ref
7656
remove
cons
111
ref
7627
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
175
ref
subst
proveHyp
256
ref
7657
remove
2925
ref
cons
nil
cons
cons
205
ref
subst
eqMp
eqMp
subst
eqMp
eqMp
proveHyp
proveHyp
proveHyp
eqMp
nil
151
ref
7588
remove
cons
153
ref
7589
remove
cons
nil
cons
cons
nil
cons
cons
167
ref
subst
deductAntisym
eqMp
eqMp
eqMp
absThm
eqMp
eqMp
absThm
eqMp
eqMp
absThm
eqMp
eqMp
absThm
eqMp
nil
99
ref
7587
remove
appTerm
thm
nil
178
ref
22
ref
99
ref
1444
ref
99
ref
1442
ref
99
ref
1441
ref
99
ref
1440
ref
71
ref
49
ref
38
ref
1449
ref
appTerm
1446
ref
appTerm
appTerm
38
ref
1457
ref
appTerm
1454
ref
appTerm
appTerm
appTerm
38
remove
1466
ref
appTerm
1463
ref
appTerm
appTerm
7680
def
absTerm
7681
def
appTerm
7682
def
absTerm
7683
def
appTerm
7684
def
absTerm
7685
def
appTerm
7686
def
absTerm
7687
def
appTerm
7688
def
absTerm
7689
def
nil
cons
cons
nil
cons
nil
cons
cons
1982
ref
subst
22
ref
nil
139
ref
7688
remove
nil
cons
cons
nil
cons
nil
cons
cons
146
ref
subst
nil
208
ref
7687
remove
nil
cons
cons
nil
cons
nil
cons
cons
643
ref
subst
1444
ref
nil
139
ref
7686
remove
nil
cons
cons
nil
cons
nil
cons
cons
146
ref
subst
nil
208
ref
7685
remove
nil
cons
cons
nil
cons
nil
cons
cons
643
ref
subst
1442
ref
nil
139
ref
7684
remove
nil
cons
cons
nil
cons
nil
cons
cons
146
ref
subst
nil
208
ref
7683
remove
nil
cons
cons
nil
cons
nil
cons
cons
643
ref
subst
1441
ref
nil
139
ref
7682
remove
nil
cons
cons
nil
cons
nil
cons
cons
146
ref
subst
nil
208
ref
7681
remove
nil
cons
cons
nil
cons
nil
cons
cons
643
ref
subst
1440
ref
nil
139
ref
7680
remove
nil
cons
cons
nil
cons
nil
cons
cons
146
ref
subst
1890
remove
eqMp
absThm
eqMp
eqMp
absThm
eqMp
eqMp
absThm
eqMp
eqMp
absThm
eqMp
eqMp
absThm
eqMp
nil
108
ref
7689
remove
appTerm
thm
3794
remove
nil
3795
remove
thm
5535
remove
nil
5536
remove
thm
nil
592
ref
539
ref
99
ref
29
ref
65
ref
48
ref
99
ref
26
ref
4638
remove
absTerm
7690
def
appTerm
7691
def
absTerm
7692
def
appTerm
7693
def
absTerm
7694
def
appTerm
7695
def
absTerm
7696
def
nil
cons
cons
nil
cons
nil
cons
cons
2815
ref
subst
539
ref
nil
139
ref
7695
remove
nil
cons
cons
nil
cons
nil
cons
cons
146
ref
subst
nil
208
ref
7694
remove
nil
cons
cons
nil
cons
nil
cons
cons
643
ref
subst
29
ref
nil
139
ref
7693
remove
nil
cons
cons
nil
cons
nil
cons
cons
146
ref
subst
nil
257
ref
7692
remove
nil
cons
cons
nil
cons
nil
cons
cons
662
ref
subst
48
ref
nil
139
ref
7691
remove
nil
cons
cons
nil
cons
nil
cons
cons
146
ref
subst
nil
208
ref
7690
remove
nil
cons
cons
nil
cons
nil
cons
cons
643
ref
subst
26
ref
nil
139
ref
4639
remove
cons
nil
cons
nil
cons
cons
146
ref
subst
5416
remove
eqMp
absThm
eqMp
eqMp
absThm
eqMp
eqMp
absThm
eqMp
eqMp
absThm
eqMp
nil
588
ref
7696
remove
appTerm
thm
nil
178
ref
22
ref
68
ref
2291
ref
99
ref
2313
ref
68
ref
2343
ref
99
ref
2360
ref
36
ref
3219
remove
appTerm
3222
remove
appTerm
7697
def
absTerm
7698
def
appTerm
7699
def
absTerm
7700
def
appTerm
7701
def
absTerm
7702
def
appTerm
7703
def
absTerm
7704
def
appTerm
7705
def
absTerm
7706
def
nil
cons
cons
nil
cons
nil
cons
cons
1982
ref
subst
22
ref
nil
139
ref
7705
remove
nil
cons
cons
nil
cons
nil
cons
cons
146
ref
subst
nil
262
ref
7704
remove
nil
cons
cons
nil
cons
nil
cons
cons
663
ref
subst
2291
ref
nil
139
ref
7703
remove
nil
cons
cons
nil
cons
nil
cons
cons
146
ref
subst
nil
208
ref
7702
remove
nil
cons
cons
nil
cons
nil
cons
cons
643
ref
subst
2313
ref
nil
139
ref
7701
remove
nil
cons
cons
nil
cons
nil
cons
cons
146
ref
subst
nil
262
ref
7700
remove
nil
cons
cons
nil
cons
nil
cons
cons
663
ref
subst
2343
ref
nil
139
ref
7699
remove
nil
cons
cons
nil
cons
nil
cons
cons
146
ref
subst
nil
208
ref
7698
remove
nil
cons
cons
nil
cons
nil
cons
cons
643
ref
subst
2360
ref
nil
139
ref
7697
remove
nil
cons
cons
nil
cons
nil
cons
cons
146
ref
subst
3945
remove
eqMp
absThm
eqMp
eqMp
absThm
eqMp
eqMp
absThm
eqMp
eqMp
absThm
eqMp
eqMp
absThm
eqMp
nil
108
ref
7706
remove
appTerm
thm
nil
592
ref
539
ref
71
ref
2173
remove
appTerm
2181
remove
appTerm
7707
def
absTerm
7708
def
nil
cons
cons
nil
cons
nil
cons
cons
2815
ref
subst
539
ref
nil
139
ref
7707
remove
nil
cons
cons
nil
cons
nil
cons
cons
146
ref
subst
2766
remove
eqMp
absThm
eqMp
nil
588
ref
7708
remove
appTerm
thm
3306
remove
nil
3307
remove
thm
nil
262
ref
1943
ref
99
ref
29
ref
99
ref
26
ref
99
ref
542
ref
65
ref
2856
ref
71
ref
4014
ref
appTerm
7709
def
2862
ref
2864
ref
547
ref
appTerm
2866
ref
appTerm
appTerm
7710
def
"Data.Bool.cond"
const
7711
def
1
ref
3
ref
1
ref
2860
ref
2911
remove
cons
opType
nil
cons
cons
opType
constTerm
7712
def
2913
ref
1944
ref
appTerm
2866
ref
appTerm
7713
def
appTerm
7714
def
2870
remove
appTerm
2867
ref
appTerm
appTerm
7715
def
appTerm
absTerm
appTerm
absTerm
appTerm
absTerm
appTerm
absTerm
appTerm
7716
def
absTerm
7717
def
nil
cons
cons
nil
cons
nil
cons
cons
663
ref
subst
1943
ref
nil
139
ref
7716
remove
nil
cons
cons
nil
cons
nil
cons
cons
146
ref
subst
624
ref
29
ref
624
ref
26
ref
624
ref
542
ref
155
ref
224
ref
2856
ref
7709
ref
refl
7718
def
2856
ref
7715
remove
absTerm
7719
def
2866
ref
appTerm
betaConv
7720
def
appThm
absThm
appThm
appThm
7718
remove
224
ref
2856
ref
7720
remove
absThm
appThm
appThm
appThm
nil
2874
remove
7719
ref
nil
cons
cons
110
ref
4014
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
2884
remove
subst
eqMp
226
ref
4017
remove
appThm
7721
def
65
ref
7719
remove
appTerm
7722
def
refl
appThm
trans
absThm
appThm
absThm
appThm
absThm
appThm
sym
nil
257
ref
2856
ref
3025
ref
7714
ref
2889
ref
appTerm
7723
def
2889
ref
appTerm
7724
def
appTerm
7725
def
absTerm
7726
def
nil
cons
cons
nil
cons
nil
cons
cons
662
ref
subst
2856
ref
nil
139
ref
7725
remove
nil
cons
cons
nil
cons
nil
cons
cons
146
ref
subst
155
ref
"_32140"
2860
ref
var
7727
def
3025
remove
7727
remove
varTerm
appTerm
absTerm
7728
def
7724
ref
appTerm
betaConv
appThm
216
ref
71
ref
7713
ref
appTerm
7729
def
refl
7730
def
7728
ref
2889
ref
appTerm
betaConv
7731
def
appThm
appThm
71
ref
308
ref
7713
ref
appTerm
7732
def
appTerm
7733
def
refl
7734
def
7731
remove
appThm
appThm
appThm
nil
"_485"
2860
ref
var
2890
ref
cons
"_482"
2860
ref
var
2890
remove
cons
"_483"
3
ref
var
7735
def
7713
ref
nil
cons
7736
def
cons
nil
cons
7737
def
cons
cons
nil
cons
cons
nil
"_484"
2861
ref
var
7728
remove
nil
cons
cons
nil
cons
nil
cons
cons
2892
ref
nil
189
ref
"_482"
181
ref
var
varTerm
nil
cons
cons
"c"
3
ref
var
7738
def
7735
remove
varTerm
nil
cons
cons
196
ref
"_484"
182
remove
var
varTerm
nil
cons
cons
413
ref
"_485"
181
ref
var
varTerm
nil
cons
cons
nil
cons
cons
cons
cons
nil
cons
cons
413
remove
36
ref
197
ref
7711
ref
1
ref
3
ref
1
ref
181
ref
1
ref
181
ref
426
remove
cons
opType
nil
cons
cons
opType
nil
cons
cons
opType
constTerm
7739
def
7738
ref
varTerm
7740
def
appTerm
190
ref
appTerm
416
ref
appTerm
appTerm
appTerm
49
ref
71
ref
7740
ref
appTerm
707
remove
appTerm
appTerm
71
ref
308
remove
7740
ref
appTerm
appTerm
197
ref
416
ref
appTerm
appTerm
appTerm
appTerm
absTerm
7741
def
416
remove
appTerm
7742
def
betaConv
189
ref
184
ref
7741
ref
appTerm
7743
def
absTerm
7744
def
190
remove
appTerm
7745
def
betaConv
7738
remove
184
ref
7744
ref
appTerm
7746
def
absTerm
7747
def
7740
ref
appTerm
7748
def
betaConv
196
remove
343
ref
7747
ref
appTerm
7749
def
absTerm
7750
def
197
remove
appTerm
7751
def
betaConv
nil
1030
remove
7750
ref
appTerm
7752
def
axiom
nil
110
ref
7752
remove
nil
cons
cons
111
ref
7751
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
175
ref
subst
proveHyp
1032
remove
1033
remove
7750
remove
nil
cons
cons
1035
remove
cons
nil
cons
cons
205
ref
subst
eqMp
eqMp
nil
110
ref
7749
remove
nil
cons
cons
111
ref
7748
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
175
ref
subst
proveHyp
345
ref
346
ref
7747
remove
nil
cons
cons
347
ref
7740
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
205
ref
subst
eqMp
eqMp
nil
110
ref
7746
remove
nil
cons
cons
111
ref
7745
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
175
ref
subst
proveHyp
427
ref
185
ref
7744
remove
nil
cons
cons
428
remove
cons
nil
cons
cons
205
ref
subst
eqMp
eqMp
nil
110
ref
7743
remove
nil
cons
cons
111
ref
7742
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
175
ref
subst
proveHyp
427
ref
185
ref
7741
remove
nil
cons
cons
429
remove
cons
nil
cons
cons
205
ref
subst
eqMp
eqMp
subst
7753
def
subst
subst
subst
eqMp
sym
nil
110
ref
7736
ref
cons
7754
def
111
ref
3026
ref
nil
cons
7755
def
cons
nil
cons
7756
def
cons
nil
cons
cons
7757
def
126
ref
subst
7757
remove
194
ref
subst
2889
ref
refl
7758
def
eqMp
nil
151
ref
7736
ref
cons
7759
def
153
ref
7755
remove
cons
nil
cons
7760
def
cons
nil
cons
cons
167
ref
subst
deductAntisym
eqMp
nil
110
ref
7729
ref
3026
ref
appTerm
nil
cons
cons
111
ref
7733
ref
3026
remove
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
194
ref
subst
proveHyp
nil
110
ref
7732
remove
nil
cons
7761
def
cons
7762
def
7756
remove
cons
nil
cons
cons
7763
def
126
ref
subst
7763
remove
194
ref
subst
7758
remove
eqMp
nil
151
ref
7761
remove
cons
7764
def
7760
remove
cons
nil
cons
cons
167
ref
subst
deductAntisym
eqMp
eqMp
eqMp
eqMp
absThm
eqMp
nil
110
ref
65
ref
7726
remove
appTerm
7765
def
nil
cons
cons
111
ref
68
ref
2291
ref
99
ref
2313
ref
68
ref
2343
ref
99
ref
2360
ref
68
ref
2445
ref
99
ref
2423
ref
71
ref
49
ref
1947
remove
2292
ref
appTerm
2344
ref
appTerm
2446
ref
appTerm
7766
def
appTerm
7767
def
49
ref
1948
remove
2314
ref
appTerm
2361
ref
appTerm
2424
ref
appTerm
7768
def
appTerm
7769
def
65
ref
2856
ref
2862
ref
2864
ref
2424
ref
appTerm
2866
ref
appTerm
7770
def
appTerm
7714
ref
2900
ref
appTerm
7771
def
2899
ref
appTerm
7772
def
appTerm
absTerm
7773
def
appTerm
7774
def
appTerm
7775
def
appTerm
7776
def
appTerm
65
ref
2856
ref
2862
ref
2864
ref
2457
ref
appTerm
2866
ref
appTerm
appTerm
7714
ref
3029
remove
appTerm
7777
def
3028
remove
appTerm
7778
def
appTerm
7779
def
absTerm
7780
def
appTerm
7781
def
appTerm
7782
def
absTerm
7783
def
appTerm
7784
def
absTerm
7785
def
appTerm
7786
def
absTerm
7787
def
appTerm
7788
def
absTerm
7789
def
appTerm
7790
def
absTerm
7791
def
appTerm
7792
def
absTerm
7793
def
appTerm
7794
def
nil
cons
cons
nil
cons
cons
nil
cons
cons
194
ref
subst
proveHyp
nil
262
ref
7793
remove
nil
cons
cons
nil
cons
nil
cons
cons
663
ref
subst
2291
ref
nil
139
ref
7792
remove
nil
cons
cons
nil
cons
nil
cons
cons
146
ref
subst
nil
208
ref
7791
remove
nil
cons
cons
nil
cons
nil
cons
cons
643
ref
subst
2313
ref
nil
139
ref
7790
remove
nil
cons
cons
nil
cons
nil
cons
cons
146
ref
subst
nil
262
ref
7789
remove
nil
cons
cons
nil
cons
nil
cons
cons
663
ref
subst
2343
ref
nil
139
ref
7788
remove
nil
cons
cons
nil
cons
nil
cons
cons
146
ref
subst
nil
208
ref
7787
remove
nil
cons
cons
nil
cons
nil
cons
cons
643
ref
subst
2360
ref
nil
139
ref
7786
remove
nil
cons
cons
nil
cons
nil
cons
cons
146
ref
subst
nil
262
ref
7785
remove
nil
cons
cons
nil
cons
nil
cons
cons
663
ref
subst
2445
ref
nil
139
ref
7784
remove
nil
cons
cons
nil
cons
nil
cons
cons
146
ref
subst
nil
208
ref
7783
remove
nil
cons
cons
nil
cons
nil
cons
cons
643
ref
subst
2423
ref
nil
139
ref
7782
remove
nil
cons
cons
nil
cons
nil
cons
cons
146
ref
subst
nil
110
ref
7776
remove
nil
cons
7795
def
cons
111
ref
7781
remove
nil
cons
7796
def
cons
nil
cons
cons
nil
cons
cons
7797
def
126
ref
subst
7797
remove
194
ref
subst
nil
151
ref
7766
remove
nil
cons
7798
def
cons
153
ref
7775
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
7799
def
167
ref
subst
7799
remove
334
ref
subst
nil
151
ref
7768
remove
nil
cons
cons
153
ref
7774
remove
nil
cons
7800
def
cons
nil
cons
cons
nil
cons
cons
334
ref
subst
nil
257
ref
7780
remove
nil
cons
cons
nil
cons
nil
cons
cons
662
ref
subst
2856
ref
nil
139
ref
7779
remove
nil
cons
cons
nil
cons
nil
cons
cons
146
ref
subst
2907
ref
nil
4865
remove
nil
cons
cons
2926
remove
subst
appThm
7714
ref
refl
2929
remove
appThm
2927
remove
appThm
appThm
sym
"y"
2860
ref
var
7801
def
49
ref
2862
ref
2912
ref
2913
ref
2446
ref
appTerm
2866
ref
appTerm
7802
def
appTerm
7770
ref
appTerm
7803
def
appTerm
7804
def
7801
remove
varTerm
7805
def
appTerm
appTerm
2862
ref
7805
remove
appTerm
7714
remove
2912
ref
2934
ref
appTerm
7806
def
2900
ref
appTerm
7807
def
appTerm
2912
ref
2941
ref
appTerm
7808
def
2899
ref
appTerm
7809
def
appTerm
7810
def
appTerm
appTerm
absTerm
7811
def
2912
ref
7711
remove
1
ref
3
ref
35
remove
nil
cons
cons
opType
constTerm
7713
ref
appTerm
7812
def
2934
ref
appTerm
2941
ref
appTerm
7813
def
appTerm
7772
ref
appTerm
7814
def
appTerm
betaConv
sym
216
ref
nil
2930
ref
7772
ref
nil
cons
7815
def
cons
2933
ref
7813
ref
nil
cons
cons
2937
ref
7770
remove
nil
cons
cons
2939
ref
7802
ref
nil
cons
cons
nil
cons
cons
cons
cons
nil
cons
cons
2972
ref
subst
49
ref
36
ref
7802
remove
appTerm
7813
ref
appTerm
7816
def
appTerm
refl
2907
ref
7773
ref
2866
ref
appTerm
7817
def
betaConv
nil
110
ref
7800
remove
cons
111
ref
7817
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
175
ref
subst
256
ref
257
ref
7773
remove
nil
cons
cons
2925
ref
cons
nil
cons
cons
205
ref
subst
eqMp
eqMp
appThm
7772
ref
refl
appThm
nil
2887
ref
7815
remove
cons
nil
cons
nil
cons
cons
2893
ref
subst
trans
appThm
nil
139
ref
7816
remove
nil
cons
7818
def
cons
nil
cons
nil
cons
cons
397
ref
subst
trans
trans
appThm
2862
ref
7814
ref
appTerm
7810
ref
appTerm
7819
def
refl
appThm
sym
nil
110
ref
7798
remove
cons
111
ref
7818
ref
cons
nil
cons
cons
nil
cons
cons
175
ref
subst
nil
2996
ref
2437
ref
2165
ref
2458
remove
cons
7820
def
nil
cons
cons
cons
nil
cons
cons
2856
ref
71
ref
4018
remove
appTerm
36
ref
2913
ref
2168
ref
appTerm
2866
ref
appTerm
appTerm
7812
remove
3001
remove
appTerm
3000
remove
appTerm
appTerm
appTerm
absTerm
7821
def
2866
ref
appTerm
7822
def
betaConv
1001
ref
65
ref
7821
ref
appTerm
7823
def
absTerm
7824
def
1002
ref
appTerm
7825
def
betaConv
263
ref
68
ref
7824
ref
appTerm
7826
def
absTerm
7827
def
627
ref
appTerm
7828
def
betaConv
1943
ref
68
ref
7827
ref
appTerm
7829
def
absTerm
7830
def
1944
ref
appTerm
7831
def
betaConv
2165
ref
68
ref
7830
ref
appTerm
7832
def
absTerm
7833
def
2168
ref
appTerm
7834
def
betaConv
nil
68
ref
1943
ref
68
ref
263
ref
68
ref
1001
ref
68
ref
2165
ref
7823
ref
absTerm
7835
def
appTerm
7836
def
absTerm
7837
def
appTerm
7838
def
absTerm
7839
def
appTerm
7840
def
absTerm
7841
def
appTerm
7842
def
axiom
nil
110
ref
7842
remove
nil
cons
7843
def
cons
7844
def
111
ref
68
ref
7833
ref
appTerm
nil
cons
7845
def
cons
nil
cons
cons
nil
cons
cons
7846
def
175
ref
subst
proveHyp
7846
ref
126
ref
subst
7846
remove
194
ref
subst
nil
262
ref
7833
remove
nil
cons
cons
7847
def
nil
cons
nil
cons
cons
663
ref
subst
2165
ref
nil
139
ref
7832
remove
nil
cons
7848
def
cons
nil
cons
nil
cons
cons
146
ref
subst
nil
262
ref
7830
remove
nil
cons
cons
7849
def
nil
cons
nil
cons
cons
663
ref
subst
1943
ref
nil
139
ref
7829
remove
nil
cons
7850
def
cons
nil
cons
nil
cons
cons
146
ref
subst
nil
262
ref
7827
remove
nil
cons
cons
7851
def
nil
cons
nil
cons
cons
663
ref
subst
263
ref
nil
139
ref
7826
remove
nil
cons
7852
def
cons
nil
cons
nil
cons
cons
146
ref
subst
nil
262
ref
7824
remove
nil
cons
cons
7853
def
nil
cons
nil
cons
cons
663
ref
subst
1001
ref
nil
139
ref
7823
remove
nil
cons
7854
def
cons
nil
cons
nil
cons
cons
146
ref
subst
7835
ref
2168
ref
appTerm
7855
def
betaConv
7837
ref
1002
ref
appTerm
7856
def
betaConv
7839
ref
627
ref
appTerm
7857
def
betaConv
7841
ref
1944
remove
appTerm
7858
def
betaConv
nil
7844
remove
111
ref
7858
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
175
ref
subst
261
ref
262
ref
7841
remove
nil
cons
cons
1952
ref
cons
nil
cons
cons
205
ref
subst
eqMp
eqMp
nil
110
ref
7840
remove
nil
cons
cons
111
ref
7857
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
175
ref
subst
proveHyp
261
ref
262
ref
7839
remove
nil
cons
cons
3024
ref
cons
nil
cons
cons
205
ref
subst
eqMp
eqMp
nil
110
ref
7838
remove
nil
cons
cons
111
ref
7856
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
175
ref
subst
proveHyp
261
ref
262
ref
7837
remove
nil
cons
cons
2495
ref
cons
nil
cons
cons
205
ref
subst
eqMp
eqMp
nil
110
ref
7836
remove
nil
cons
cons
111
ref
7855
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
175
ref
subst
proveHyp
261
ref
262
ref
7835
remove
nil
cons
cons
5973
ref
cons
nil
cons
cons
205
ref
subst
eqMp
eqMp
eqMp
absThm
eqMp
eqMp
absThm
eqMp
eqMp
absThm
eqMp
eqMp
absThm
eqMp
eqMp
nil
151
ref
7843
remove
cons
153
ref
7845
ref
cons
nil
cons
cons
nil
cons
cons
167
ref
subst
deductAntisym
eqMp
eqMp
nil
110
ref
7845
remove
cons
111
ref
7834
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
175
ref
subst
proveHyp
261
ref
7847
remove
5973
ref
cons
nil
cons
cons
205
ref
subst
eqMp
eqMp
nil
110
ref
7848
remove
cons
111
ref
7831
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
175
ref
subst
proveHyp
261
ref
7849
remove
1952
remove
cons
nil
cons
cons
205
ref
subst
eqMp
eqMp
nil
110
ref
7850
remove
cons
111
ref
7828
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
175
ref
subst
proveHyp
261
ref
7851
remove
3024
ref
cons
nil
cons
cons
205
ref
subst
eqMp
eqMp
nil
110
ref
7852
remove
cons
111
ref
7825
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
175
ref
subst
proveHyp
261
ref
7853
remove
2495
ref
cons
nil
cons
cons
205
ref
subst
eqMp
eqMp
nil
110
ref
7854
remove
cons
111
ref
7822
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
175
ref
subst
proveHyp
256
ref
257
ref
7821
remove
nil
cons
cons
2925
ref
cons
nil
cons
cons
205
ref
subst
eqMp
eqMp
subst
eqMp
nil
110
ref
7818
remove
cons
111
ref
7819
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
194
ref
subst
proveHyp
155
ref
"_32146"
3
ref
var
7859
def
2862
ref
2912
remove
7859
remove
varTerm
appTerm
7772
ref
appTerm
appTerm
7810
ref
appTerm
absTerm
7860
def
7813
remove
appTerm
betaConv
appThm
216
ref
7730
remove
7860
ref
2934
remove
appTerm
betaConv
appThm
appThm
7734
remove
7860
ref
2941
remove
appTerm
betaConv
appThm
appThm
appThm
nil
"_485"
3
ref
var
2942
remove
cons
"_482"
3
ref
var
2935
remove
cons
7737
remove
cons
cons
nil
cons
cons
nil
"_484"
34
remove
var
7860
remove
nil
cons
cons
nil
cons
nil
cons
cons
715
remove
7753
remove
subst
subst
subst
eqMp
sym
nil
7754
remove
111
ref
2862
ref
7806
ref
7772
ref
appTerm
appTerm
7810
ref
appTerm
7861
def
nil
cons
7862
def
cons
nil
cons
cons
nil
cons
cons
7863
def
126
ref
subst
7863
remove
194
ref
subst
36
ref
"_32148"
3
ref
var
7864
def
2862
ref
7806
ref
7712
ref
7864
remove
varTerm
appTerm
7865
def
2900
ref
appTerm
2899
ref
appTerm
appTerm
appTerm
7865
remove
7807
ref
appTerm
7809
ref
appTerm
appTerm
absTerm
7866
def
7713
ref
appTerm
7867
def
appTerm
refl
7866
ref
131
ref
appTerm
betaConv
appThm
155
ref
7867
remove
betaConv
appThm
2862
ref
7806
ref
7712
ref
131
ref
appTerm
7868
def
2900
ref
appTerm
2899
ref
appTerm
appTerm
appTerm
7868
remove
7807
ref
appTerm
7809
ref
appTerm
appTerm
refl
appThm
trans
7866
remove
refl
nil
139
ref
7736
remove
cons
nil
cons
nil
cons
cons
146
ref
subst
7713
ref
assume
eqMp
appThm
eqMp
sym
2907
ref
7806
remove
refl
nil
2930
ref
2938
remove
cons
2937
ref
2931
remove
cons
nil
cons
cons
nil
cons
cons
7869
def
2892
ref
"t2"
181
ref
var
7870
def
407
ref
7739
ref
131
remove
appTerm
"t1"
181
remove
var
7871
def
varTerm
7872
def
appTerm
7870
ref
varTerm
7873
def
appTerm
appTerm
7872
ref
appTerm
absTerm
7874
def
7873
ref
appTerm
7875
def
betaConv
7871
ref
184
ref
7874
ref
appTerm
7876
def
absTerm
7877
def
7872
ref
appTerm
7878
def
betaConv
nil
184
ref
7877
ref
appTerm
7879
def
axiom
nil
110
ref
7879
remove
nil
cons
cons
111
ref
7878
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
175
ref
subst
proveHyp
427
ref
185
ref
7877
remove
nil
cons
cons
189
ref
7872
ref
nil
cons
cons
nil
cons
7880
def
cons
nil
cons
cons
205
ref
subst
eqMp
eqMp
nil
110
ref
7876
remove
nil
cons
cons
111
ref
7875
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
175
ref
subst
proveHyp
427
ref
185
ref
7874
remove
nil
cons
cons
189
remove
7873
ref
nil
cons
cons
nil
cons
7881
def
cons
nil
cons
cons
205
ref
subst
eqMp
eqMp
subst
7882
def
subst
appThm
appThm
nil
2930
ref
7809
ref
nil
cons
7883
def
cons
2937
ref
7807
ref
nil
cons
7884
def
cons
nil
cons
cons
nil
cons
cons
7885
def
7882
remove
subst
appThm
nil
2887
ref
7884
remove
cons
nil
cons
nil
cons
cons
2893
ref
subst
trans
sym
145
ref
eqMp
eqMp
eqMp
nil
7759
ref
153
ref
7862
remove
cons
nil
cons
cons
nil
cons
cons
167
ref
subst
deductAntisym
eqMp
nil
110
ref
7729
remove
7861
remove
appTerm
nil
cons
cons
111
ref
7733
remove
2862
ref
7808
ref
7772
ref
appTerm
appTerm
7810
ref
appTerm
7886
def
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
194
ref
subst
proveHyp
nil
7762
ref
111
ref
7886
remove
nil
cons
7887
def
cons
nil
cons
cons
nil
cons
cons
7888
def
126
ref
subst
7888
remove
194
ref
subst
36
ref
"_32150"
3
ref
var
7889
def
2862
ref
7808
ref
7712
ref
7889
remove
varTerm
appTerm
7890
def
2900
ref
appTerm
2899
ref
appTerm
appTerm
appTerm
7890
remove
7807
ref
appTerm
7809
ref
appTerm
appTerm
absTerm
7891
def
7713
ref
appTerm
7892
def
appTerm
refl
7891
ref
315
ref
appTerm
betaConv
appThm
155
ref
7892
remove
betaConv
appThm
2862
ref
7808
ref
7712
remove
315
ref
appTerm
7893
def
2900
remove
appTerm
2899
remove
appTerm
appTerm
appTerm
7893
remove
7807
remove
appTerm
7809
remove
appTerm
appTerm
refl
appThm
trans
7891
remove
refl
nil
7762
remove
111
ref
36
ref
7713
remove
appTerm
315
ref
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
175
ref
subst
nil
7759
remove
nil
cons
nil
cons
cons
349
remove
subst
eqMp
appThm
eqMp
sym
2907
ref
7808
remove
refl
7869
remove
2892
ref
7870
remove
407
remove
7739
remove
315
remove
appTerm
7872
ref
appTerm
7873
ref
appTerm
appTerm
7873
ref
appTerm
absTerm
7894
def
7873
remove
appTerm
7895
def
betaConv
7871
remove
184
ref
7894
ref
appTerm
7896
def
absTerm
7897
def
7872
remove
appTerm
7898
def
betaConv
nil
184
remove
7897
ref
appTerm
7899
def
axiom
nil
110
ref
7899
remove
nil
cons
cons
111
ref
7898
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
175
ref
subst
proveHyp
427
ref
185
ref
7897
remove
nil
cons
cons
7880
remove
cons
nil
cons
cons
205
ref
subst
eqMp
eqMp
nil
110
ref
7896
remove
nil
cons
cons
111
ref
7895
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
175
ref
subst
proveHyp
427
remove
185
remove
7894
remove
nil
cons
cons
7881
remove
cons
nil
cons
cons
205
ref
subst
eqMp
eqMp
subst
7900
def
subst
appThm
appThm
7885
remove
7900
remove
subst
appThm
nil
2887
ref
7883
remove
cons
nil
cons
nil
cons
cons
2893
ref
subst
trans
sym
145
ref
eqMp
eqMp
eqMp
nil
7764
remove
153
ref
7887
remove
cons
nil
cons
cons
nil
cons
cons
167
ref
subst
deductAntisym
eqMp
eqMp
eqMp
eqMp
eqMp
eqMp
2891
remove
"P"
2861
ref
var
7811
ref
nil
cons
cons
2887
ref
7814
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
724
ref
subst
proveHyp
nil
110
ref
43
remove
1
ref
2861
remove
4
ref
cons
opType
constTerm
7811
remove
appTerm
nil
cons
cons
111
ref
7804
remove
7810
ref
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
175
ref
subst
proveHyp
nil
"z"
2860
remove
var
7810
remove
nil
cons
cons
2887
ref
7803
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
2892
remove
6112
remove
subst
subst
eqMp
eqMp
eqMp
absThm
eqMp
proveHyp
proveHyp
proveHyp
eqMp
nil
151
ref
7795
remove
cons
153
ref
7796
remove
cons
nil
cons
cons
nil
cons
cons
167
ref
subst
deductAntisym
eqMp
eqMp
absThm
eqMp
eqMp
absThm
eqMp
eqMp
absThm
eqMp
eqMp
absThm
eqMp
eqMp
absThm
eqMp
eqMp
absThm
eqMp
eqMp
nil
110
ref
49
ref
7765
remove
appTerm
7794
remove
appTerm
nil
cons
cons
111
ref
99
ref
29
ref
99
ref
26
ref
99
ref
542
ref
71
ref
4023
remove
appTerm
7901
def
7722
ref
appTerm
absTerm
appTerm
absTerm
appTerm
absTerm
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
175
ref
subst
proveHyp
226
ref
216
ref
29
ref
26
ref
542
ref
7722
remove
absTerm
7902
def
absTerm
7903
def
absTerm
7904
def
20
ref
appTerm
betaConv
21
ref
appThm
26
ref
542
ref
65
ref
2856
ref
7710
ref
7723
remove
2867
ref
appTerm
appTerm
absTerm
appTerm
absTerm
absTerm
20
ref
appTerm
betaConv
trans
21
ref
appThm
542
ref
65
ref
2856
ref
7710
ref
7724
remove
appTerm
absTerm
appTerm
absTerm
20
ref
appTerm
betaConv
trans
appThm
225
ref
2291
ref
624
ref
2313
ref
225
ref
2343
ref
624
ref
2360
ref
225
ref
2445
ref
624
ref
2423
ref
226
ref
7767
ref
refl
7905
def
7769
remove
refl
7904
ref
2314
ref
appTerm
betaConv
3034
ref
appThm
26
ref
542
ref
65
ref
2856
ref
7710
ref
7771
remove
2867
ref
appTerm
appTerm
absTerm
appTerm
absTerm
absTerm
2361
ref
appTerm
betaConv
trans
2424
ref
refl
7906
def
appThm
542
ref
65
ref
2856
ref
7710
ref
7772
remove
appTerm
absTerm
appTerm
absTerm
2424
ref
appTerm
betaConv
trans
appThm
appThm
appThm
7904
ref
2322
ref
appTerm
betaConv
3035
ref
appThm
26
ref
542
ref
65
ref
2856
ref
7710
ref
7777
remove
2867
remove
appTerm
appTerm
absTerm
appTerm
absTerm
absTerm
2369
ref
appTerm
betaConv
trans
2457
ref
refl
7907
def
appThm
542
ref
65
ref
2856
ref
7710
remove
7778
remove
appTerm
absTerm
appTerm
absTerm
2457
ref
appTerm
betaConv
trans
appThm
absThm
appThm
absThm
appThm
absThm
appThm
absThm
appThm
absThm
appThm
absThm
appThm
appThm
appThm
624
ref
29
ref
624
ref
26
ref
624
ref
542
ref
7901
remove
refl
7904
ref
39
ref
appTerm
betaConv
998
ref
appThm
7903
remove
41
ref
appTerm
betaConv
trans
2163
ref
appThm
7902
remove
547
ref
appTerm
betaConv
trans
appThm
absThm
appThm
absThm
appThm
absThm
appThm
appThm
nil
"p"
529
remove
var
7908
def
7904
remove
nil
cons
cons
1956
ref
cons
nil
cons
cons
nil
110
ref
49
ref
7908
ref
varTerm
7909
def
20
ref
appTerm
20
ref
appTerm
20
ref
appTerm
7910
def
appTerm
68
ref
2291
ref
99
ref
2313
ref
68
ref
2343
ref
99
ref
2360
ref
68
ref
2445
ref
99
ref
2423
ref
71
ref
4842
remove
49
ref
2429
ref
appTerm
7909
ref
2314
ref
appTerm
2361
ref
appTerm
2424
ref
appTerm
7911
def
appTerm
appTerm
7912
def
appTerm
7909
ref
2322
ref
appTerm
7913
def
2369
ref
appTerm
7914
def
2457
ref
appTerm
7915
def
appTerm
absTerm
7916
def
appTerm
7917
def
absTerm
7918
def
appTerm
7919
def
absTerm
7920
def
appTerm
7921
def
absTerm
7922
def
appTerm
7923
def
absTerm
7924
def
appTerm
7925
def
absTerm
7926
def
appTerm
7927
def
appTerm
7928
def
nil
cons
7929
def
cons
111
ref
99
ref
29
ref
99
ref
26
ref
99
ref
542
ref
5006
remove
7909
ref
39
ref
appTerm
41
ref
appTerm
547
ref
appTerm
7930
def
appTerm
7931
def
absTerm
7932
def
appTerm
7933
def
absTerm
7934
def
appTerm
7935
def
absTerm
7936
def
appTerm
7937
def
nil
cons
7938
def
cons
nil
cons
cons
nil
cons
cons
7939
def
126
ref
subst
7939
remove
194
ref
subst
nil
151
ref
7910
ref
nil
cons
7940
def
cons
153
ref
7927
remove
nil
cons
7941
def
cons
nil
cons
cons
nil
cons
cons
7942
def
167
ref
subst
7942
remove
334
ref
subst
nil
208
ref
7936
remove
nil
cons
cons
nil
cons
nil
cons
cons
643
ref
subst
29
ref
nil
139
ref
7935
remove
nil
cons
cons
nil
cons
nil
cons
cons
146
ref
subst
nil
208
ref
7934
remove
nil
cons
cons
nil
cons
nil
cons
cons
643
ref
subst
26
ref
nil
139
ref
7933
remove
nil
cons
cons
nil
cons
nil
cons
cons
146
ref
subst
nil
208
ref
7932
remove
nil
cons
cons
nil
cons
nil
cons
cons
643
ref
subst
542
ref
nil
139
ref
7931
ref
nil
cons
7943
def
cons
nil
cons
nil
cons
cons
146
ref
subst
nil
110
ref
5809
ref
cons
111
ref
7930
ref
nil
cons
7944
def
cons
nil
cons
7945
def
cons
nil
cons
cons
7946
def
126
ref
subst
7946
ref
194
ref
subst
4699
ref
nil
5820
remove
7945
ref
cons
nil
cons
cons
175
ref
subst
proveHyp
5823
remove
7930
ref
refl
7947
def
appThm
155
ref
226
ref
215
ref
48
ref
4687
ref
absThm
appThm
appThm
7947
ref
appThm
appThm
224
ref
48
ref
226
ref
4687
remove
appThm
7947
ref
appThm
absThm
appThm
appThm
nil
1024
ref
4691
remove
cons
7945
ref
cons
nil
cons
cons
1037
ref
subst
eqMp
trans
sym
nil
257
ref
48
ref
71
ref
4659
ref
appTerm
7930
ref
appTerm
7948
def
absTerm
nil
cons
cons
nil
cons
nil
cons
cons
662
ref
subst
48
ref
nil
139
ref
7948
remove
nil
cons
cons
nil
cons
nil
cons
cons
146
ref
subst
nil
5828
ref
7945
ref
cons
nil
cons
cons
7949
def
126
ref
subst
7949
remove
194
ref
subst
7946
remove
175
ref
subst
nil
5828
ref
111
ref
7943
remove
cons
nil
cons
cons
nil
cons
cons
175
ref
subst
nil
1340
ref
7944
ref
cons
7950
def
111
ref
5809
ref
cons
7951
def
5828
remove
nil
cons
cons
cons
nil
cons
cons
3124
ref
subst
226
ref
nil
3125
ref
5809
ref
cons
7952
def
3126
ref
5830
remove
cons
3128
remove
cons
cons
nil
cons
cons
3149
ref
subst
4627
remove
nil
7952
remove
3126
ref
4681
remove
cons
3127
ref
1107
remove
cons
nil
cons
cons
cons
nil
cons
cons
3149
remove
subst
appThm
trans
appThm
7947
ref
appThm
trans
sym
542
ref
71
ref
59
ref
63
ref
551
ref
548
ref
appTerm
appTerm
appTerm
appTerm
7930
ref
appTerm
absTerm
7953
def
547
ref
appTerm
7954
def
betaConv
7955
def
26
ref
99
ref
7953
ref
appTerm
7956
def
absTerm
7957
def
41
ref
appTerm
7958
def
betaConv
7959
def
29
ref
99
ref
7957
ref
appTerm
7960
def
absTerm
7961
def
39
ref
appTerm
7962
def
betaConv
7963
def
48
ref
99
ref
7961
ref
appTerm
7964
def
absTerm
7965
def
57
ref
appTerm
7966
def
betaConv
7967
def
nil
208
ref
29
ref
99
ref
26
ref
99
ref
542
ref
71
ref
2218
ref
3161
remove
49
ref
549
ref
220
ref
appTerm
appTerm
548
ref
appTerm
appTerm
appTerm
appTerm
7930
ref
appTerm
7968
def
absTerm
7969
def
appTerm
7970
def
absTerm
7971
def
appTerm
7972
def
absTerm
7973
def
nil
cons
cons
nil
cons
nil
cons
cons
643
ref
subst
29
ref
nil
139
ref
7972
remove
nil
cons
cons
nil
cons
nil
cons
cons
146
ref
subst
nil
208
ref
7971
remove
nil
cons
cons
nil
cons
nil
cons
cons
643
ref
subst
26
ref
nil
139
ref
7970
remove
nil
cons
cons
nil
cons
nil
cons
cons
146
ref
subst
nil
208
ref
7969
remove
nil
cons
cons
nil
cons
nil
cons
cons
643
ref
subst
542
ref
nil
139
ref
7968
remove
nil
cons
cons
nil
cons
nil
cons
cons
146
ref
subst
226
ref
3166
ref
3167
remove
216
ref
6729
ref
1051
remove
subst
appThm
548
ref
refl
appThm
appThm
appThm
appThm
7947
remove
appThm
sym
nil
110
ref
3168
ref
3169
remove
49
ref
1311
ref
20
ref
appTerm
7974
def
appTerm
548
ref
appTerm
7975
def
appTerm
7976
def
appTerm
nil
cons
7977
def
cons
7945
remove
cons
nil
cons
cons
7978
def
126
ref
subst
7978
remove
194
ref
subst
nil
1064
ref
153
ref
7976
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
7979
def
167
ref
subst
7979
remove
334
ref
subst
nil
2270
ref
153
ref
7975
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
7980
def
167
ref
subst
7980
remove
334
ref
subst
nil
151
ref
7974
ref
nil
cons
cons
153
ref
5809
remove
cons
nil
cons
7981
def
cons
nil
cons
cons
167
ref
subst
7909
ref
refl
1063
ref
appThm
2269
ref
appThm
7974
remove
assume
appThm
nil
139
ref
7940
remove
cons
nil
cons
nil
cons
cons
146
ref
subst
7910
remove
assume
eqMp
trans
sym
145
ref
eqMp
proveHyp
proveHyp
proveHyp
proveHyp
proveHyp
eqMp
nil
151
ref
7977
remove
cons
153
ref
7944
remove
cons
nil
cons
7982
def
cons
nil
cons
cons
167
ref
subst
deductAntisym
eqMp
eqMp
eqMp
absThm
eqMp
eqMp
absThm
eqMp
eqMp
absThm
eqMp
nil
110
ref
99
ref
7973
remove
appTerm
7983
def
nil
cons
cons
111
ref
65
ref
48
ref
71
ref
7964
ref
appTerm
99
ref
29
ref
99
ref
26
ref
99
ref
542
ref
71
ref
2272
remove
3176
remove
49
ref
549
remove
309
ref
appTerm
7984
def
appTerm
548
ref
appTerm
7985
def
appTerm
7986
def
appTerm
appTerm
7930
remove
appTerm
7987
def
absTerm
7988
def
appTerm
7989
def
absTerm
7990
def
appTerm
7991
def
absTerm
7992
def
appTerm
7993
def
appTerm
7994
def
absTerm
7995
def
appTerm
7996
def
nil
cons
cons
nil
cons
cons
nil
cons
cons
194
ref
subst
proveHyp
nil
257
ref
7995
remove
nil
cons
cons
nil
cons
nil
cons
cons
662
ref
subst
48
ref
nil
139
ref
7994
remove
nil
cons
cons
nil
cons
nil
cons
cons
146
ref
subst
nil
110
ref
7964
remove
nil
cons
7997
def
cons
7998
def
111
ref
7993
remove
nil
cons
7999
def
cons
nil
cons
cons
nil
cons
cons
8000
def
126
ref
subst
8000
remove
194
ref
subst
nil
208
ref
7992
remove
nil
cons
cons
nil
cons
nil
cons
cons
643
ref
subst
29
ref
nil
139
ref
7991
remove
nil
cons
cons
nil
cons
nil
cons
cons
146
ref
subst
nil
208
ref
7990
remove
nil
cons
cons
nil
cons
nil
cons
cons
643
ref
subst
26
ref
nil
139
ref
7989
remove
nil
cons
cons
nil
cons
nil
cons
cons
146
ref
subst
nil
208
ref
7988
remove
nil
cons
cons
nil
cons
nil
cons
cons
643
ref
subst
542
ref
nil
139
ref
7987
remove
nil
cons
cons
nil
cons
nil
cons
cons
146
ref
subst
nil
7950
ref
111
ref
7986
remove
nil
cons
cons
2288
remove
cons
cons
nil
cons
cons
2249
ref
subst
1095
remove
nil
7950
ref
111
ref
7985
remove
nil
cons
cons
3190
remove
cons
cons
nil
cons
cons
2249
ref
subst
2290
remove
nil
7950
remove
7951
ref
110
ref
7984
remove
nil
cons
cons
nil
cons
cons
cons
nil
cons
cons
2249
ref
subst
226
ref
6729
remove
1094
ref
subst
appThm
7931
ref
refl
appThm
trans
appThm
trans
appThm
trans
sym
nil
262
ref
2291
ref
2294
remove
2299
ref
71
ref
1000
ref
227
ref
725
ref
26
ref
49
ref
1311
ref
1080
ref
appTerm
appTerm
62
ref
appTerm
absTerm
appTerm
absTerm
8001
def
appTerm
appTerm
8002
def
7931
remove
appTerm
appTerm
8003
def
appTerm
8004
def
absTerm
nil
cons
cons
nil
cons
nil
cons
cons
663
ref
subst
2291
ref
nil
139
ref
8004
remove
nil
cons
cons
nil
cons
nil
cons
cons
146
ref
subst
nil
2303
remove
111
ref
8003
ref
nil
cons
8005
def
cons
nil
cons
8006
def
cons
nil
cons
cons
8007
def
126
ref
subst
8007
remove
194
ref
subst
2307
remove
nil
2312
remove
8006
ref
cons
nil
cons
cons
175
ref
subst
proveHyp
nil
208
ref
2313
ref
2316
remove
8003
ref
appTerm
8008
def
absTerm
nil
cons
cons
nil
cons
nil
cons
cons
643
ref
subst
2313
ref
nil
139
ref
8008
remove
nil
cons
cons
nil
cons
nil
cons
cons
146
ref
subst
nil
2319
remove
8006
ref
cons
nil
cons
cons
8009
def
126
ref
subst
8009
remove
194
ref
subst
2321
remove
nil
2328
remove
8006
remove
cons
nil
cons
cons
8010
def
175
ref
subst
proveHyp
8010
ref
126
ref
subst
8010
remove
194
ref
subst
2332
remove
2333
remove
36
ref
"_32048"
2
ref
var
8011
def
2299
ref
8002
ref
71
ref
545
ref
8011
remove
varTerm
8012
def
appTerm
41
ref
appTerm
547
ref
appTerm
appTerm
7909
remove
8012
remove
appTerm
41
ref
appTerm
547
ref
appTerm
appTerm
appTerm
appTerm
absTerm
8013
def
39
ref
appTerm
8014
def
appTerm
refl
8013
ref
2322
ref
appTerm
betaConv
appThm
155
ref
8014
remove
betaConv
appThm
2299
remove
8002
ref
5002
remove
7913
ref
41
ref
appTerm
547
ref
appTerm
appTerm
appTerm
8015
def
appTerm
8016
def
refl
appThm
trans
8013
remove
refl
2342
remove
appThm
eqMp
sym
nil
262
ref
2343
ref
2346
remove
8015
ref
appTerm
8017
def
absTerm
nil
cons
cons
nil
cons
nil
cons
cons
663
ref
subst
2343
ref
nil
139
ref
8017
remove
nil
cons
cons
nil
cons
nil
cons
cons
146
ref
subst
nil
2349
remove
111
ref
8015
ref
nil
cons
8018
def
cons
nil
cons
8019
def
cons
nil
cons
cons
8020
def
126
ref
subst
8020
remove
194
ref
subst
2353
remove
nil
2359
remove
8019
ref
cons
nil
cons
cons
175
ref
subst
proveHyp
nil
208
ref
2360
ref
2363
remove
8015
ref
appTerm
8021
def
absTerm
nil
cons
cons
nil
cons
nil
cons
cons
643
ref
subst
2360
ref
nil
139
ref
8021
remove
nil
cons
cons
nil
cons
nil
cons
cons
146
ref
subst
nil
2366
remove
8019
ref
cons
nil
cons
cons
8022
def
126
ref
subst
8022
remove
194
ref
subst
2368
remove
nil
2376
remove
8019
remove
cons
nil
cons
cons
8023
def
175
ref
subst
proveHyp
8023
ref
126
ref
subst
8023
remove
194
ref
subst
2382
remove
2383
remove
36
ref
"_32056"
2
ref
var
8024
def
8002
ref
71
ref
2337
ref
8024
remove
varTerm
8025
def
appTerm
547
ref
appTerm
appTerm
7913
remove
8025
remove
appTerm
547
ref
appTerm
appTerm
appTerm
absTerm
8026
def
41
ref
appTerm
8027
def
appTerm
refl
8026
ref
2369
ref
appTerm
betaConv
appThm
155
ref
8027
remove
betaConv
appThm
8002
remove
4997
remove
7914
ref
547
ref
appTerm
appTerm
8028
def
appTerm
8029
def
refl
appThm
trans
8026
remove
refl
2392
ref
appThm
eqMp
sym
nil
262
ref
2445
ref
71
ref
8001
ref
2446
ref
appTerm
8030
def
appTerm
8028
ref
appTerm
8031
def
absTerm
nil
cons
cons
nil
cons
nil
cons
cons
663
ref
subst
2445
ref
nil
139
ref
8031
remove
nil
cons
cons
nil
cons
nil
cons
cons
146
ref
subst
nil
110
ref
8030
ref
nil
cons
8032
def
cons
111
ref
8028
ref
nil
cons
8033
def
cons
nil
cons
8034
def
cons
nil
cons
cons
8035
def
126
ref
subst
8035
remove
194
ref
subst
8030
ref
betaConv
8030
remove
assume
eqMp
nil
110
ref
725
ref
26
ref
49
ref
1311
ref
2456
ref
41
ref
appTerm
appTerm
appTerm
62
remove
appTerm
absTerm
8036
def
appTerm
8037
def
nil
cons
cons
8034
ref
cons
nil
cons
cons
175
ref
subst
proveHyp
nil
208
ref
2423
ref
71
ref
8036
ref
2424
ref
appTerm
8038
def
appTerm
8028
ref
appTerm
8039
def
absTerm
nil
cons
cons
nil
cons
nil
cons
cons
643
ref
subst
2423
ref
nil
139
ref
8039
remove
nil
cons
cons
nil
cons
nil
cons
cons
146
ref
subst
nil
110
ref
8038
ref
nil
cons
8040
def
cons
8034
ref
cons
nil
cons
cons
8041
def
126
ref
subst
8041
remove
194
ref
subst
8038
ref
betaConv
8038
remove
assume
eqMp
nil
110
ref
49
ref
1311
remove
2457
ref
appTerm
8042
def
appTerm
5054
ref
appTerm
nil
cons
8043
def
cons
8034
remove
cons
nil
cons
cons
8044
def
175
ref
subst
proveHyp
8044
ref
126
ref
subst
8044
remove
194
ref
subst
nil
151
ref
8042
ref
nil
cons
cons
5062
remove
cons
nil
cons
cons
8045
def
167
ref
subst
8045
remove
334
ref
subst
36
ref
"_32066"
2
ref
var
8046
def
71
ref
2387
remove
8046
remove
varTerm
8047
def
appTerm
appTerm
7914
remove
8047
remove
appTerm
appTerm
absTerm
8048
def
547
ref
appTerm
8049
def
appTerm
refl
8048
ref
2457
ref
appTerm
betaConv
appThm
155
ref
8049
remove
betaConv
appThm
5019
remove
7915
ref
appTerm
refl
appThm
trans
8048
remove
refl
8042
remove
assume
appThm
eqMp
sym
226
ref
5337
ref
appThm
7915
ref
refl
appThm
sym
nil
110
ref
4844
ref
cons
111
ref
7915
remove
nil
cons
8050
def
cons
nil
cons
8051
def
cons
nil
cons
cons
8052
def
126
ref
subst
8052
remove
194
ref
subst
nil
2745
remove
5307
remove
cons
nil
cons
cons
8053
def
167
ref
subst
8053
remove
334
ref
subst
216
ref
2538
remove
appThm
216
ref
2540
ref
appThm
7911
ref
refl
appThm
nil
139
ref
7911
remove
nil
cons
8054
def
cons
nil
cons
nil
cons
cons
527
ref
subst
8055
def
trans
appThm
8055
remove
trans
sym
2418
remove
3953
remove
216
ref
217
ref
5094
remove
appThm
222
ref
appThm
2416
remove
trans
appThm
2540
remove
appThm
528
ref
trans
appThm
528
ref
trans
appThm
528
ref
trans
sym
145
ref
eqMp
nil
110
ref
2393
remove
3954
remove
49
ref
5054
remove
appTerm
2429
remove
appTerm
appTerm
appTerm
nil
cons
cons
111
ref
8054
remove
cons
nil
cons
cons
nil
cons
cons
175
ref
subst
proveHyp
nil
5099
remove
3955
remove
cons
nil
cons
cons
7955
remove
7959
remove
7963
remove
nil
7998
remove
111
ref
7962
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
175
ref
subst
8056
def
207
ref
208
ref
7961
remove
nil
cons
cons
210
ref
cons
nil
cons
cons
205
ref
subst
8057
def
eqMp
eqMp
nil
110
ref
7960
remove
nil
cons
cons
111
ref
7958
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
175
ref
subst
8058
def
proveHyp
207
ref
208
ref
7957
remove
nil
cons
cons
213
ref
cons
nil
cons
cons
205
ref
subst
8059
def
eqMp
eqMp
nil
110
ref
7956
remove
nil
cons
cons
111
ref
7954
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
175
ref
subst
8060
def
proveHyp
207
ref
208
ref
7953
remove
nil
cons
cons
595
ref
cons
nil
cons
cons
205
ref
subst
8061
def
eqMp
eqMp
subst
eqMp
eqMp
nil
110
ref
7912
remove
nil
cons
cons
8051
remove
cons
nil
cons
cons
175
ref
subst
proveHyp
7916
ref
2424
ref
appTerm
8062
def
betaConv
7918
ref
2446
ref
appTerm
8063
def
betaConv
7920
ref
2361
ref
appTerm
8064
def
betaConv
7922
ref
2344
ref
appTerm
8065
def
betaConv
7924
ref
2314
ref
appTerm
8066
def
betaConv
7926
ref
2292
ref
appTerm
8067
def
betaConv
nil
110
ref
7941
remove
cons
111
ref
8067
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
175
ref
subst
261
ref
262
ref
7926
remove
nil
cons
cons
2438
ref
cons
nil
cons
cons
205
ref
subst
eqMp
eqMp
nil
110
ref
7925
remove
nil
cons
cons
111
ref
8066
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
175
ref
subst
proveHyp
207
ref
208
ref
7924
remove
nil
cons
cons
2404
remove
cons
nil
cons
cons
205
ref
subst
eqMp
eqMp
nil
110
ref
7923
remove
nil
cons
cons
111
ref
8065
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
175
ref
subst
proveHyp
261
ref
262
ref
7922
remove
nil
cons
cons
2441
remove
cons
nil
cons
cons
205
ref
subst
eqMp
eqMp
nil
110
ref
7921
remove
nil
cons
cons
111
ref
8064
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
175
ref
subst
proveHyp
207
ref
208
ref
7920
remove
nil
cons
cons
2407
remove
cons
nil
cons
cons
205
ref
subst
eqMp
eqMp
nil
110
ref
7919
remove
nil
cons
cons
111
ref
8063
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
175
ref
subst
proveHyp
261
ref
262
ref
7918
remove
nil
cons
cons
4866
remove
cons
nil
cons
cons
205
ref
subst
eqMp
eqMp
nil
110
ref
7917
remove
nil
cons
cons
111
ref
8062
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
175
ref
subst
proveHyp
207
ref
208
ref
7916
remove
nil
cons
cons
5100
remove
cons
nil
cons
cons
205
ref
subst
eqMp
eqMp
eqMp
proveHyp
proveHyp
eqMp
nil
151
ref
4844
remove
cons
153
ref
8050
remove
cons
nil
cons
cons
nil
cons
cons
167
ref
subst
deductAntisym
eqMp
eqMp
eqMp
proveHyp
proveHyp
eqMp
nil
151
ref
8043
remove
cons
153
ref
8033
remove
cons
nil
cons
8068
def
cons
nil
cons
cons
167
ref
subst
deductAntisym
eqMp
eqMp
eqMp
nil
151
ref
8040
remove
cons
8068
ref
cons
nil
cons
cons
167
ref
subst
deductAntisym
eqMp
eqMp
absThm
eqMp
nil
110
ref
99
ref
29
ref
71
ref
8036
ref
39
ref
appTerm
appTerm
8028
ref
appTerm
absTerm
appTerm
nil
cons
cons
111
ref
71
ref
8037
remove
appTerm
8028
ref
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
175
ref
subst
proveHyp
207
ref
208
ref
8036
remove
nil
cons
cons
8068
ref
cons
nil
cons
cons
811
ref
subst
eqMp
eqMp
eqMp
nil
151
ref
8032
remove
cons
8068
ref
cons
nil
cons
cons
167
ref
subst
deductAntisym
eqMp
eqMp
absThm
eqMp
nil
110
ref
68
ref
263
ref
71
ref
8001
ref
627
ref
appTerm
appTerm
8028
remove
appTerm
absTerm
appTerm
nil
cons
cons
111
ref
8029
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
175
ref
subst
proveHyp
261
ref
262
ref
8001
remove
nil
cons
cons
8068
remove
cons
nil
cons
cons
811
ref
subst
eqMp
eqMp
proveHyp
proveHyp
eqMp
nil
2747
remove
153
ref
8018
remove
cons
nil
cons
8069
def
cons
nil
cons
cons
167
ref
subst
deductAntisym
eqMp
eqMp
eqMp
nil
2749
remove
8069
ref
cons
nil
cons
cons
167
ref
subst
deductAntisym
eqMp
eqMp
absThm
eqMp
nil
110
ref
99
ref
29
ref
2750
remove
8015
ref
appTerm
absTerm
appTerm
nil
cons
cons
111
ref
2751
remove
8015
ref
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
175
ref
subst
proveHyp
207
ref
2752
remove
8069
ref
cons
nil
cons
cons
811
ref
subst
eqMp
eqMp
eqMp
nil
2753
remove
8069
ref
cons
nil
cons
cons
167
ref
subst
deductAntisym
eqMp
eqMp
absThm
eqMp
nil
110
ref
68
ref
263
ref
2754
remove
8015
remove
appTerm
absTerm
appTerm
nil
cons
cons
111
ref
8016
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
175
ref
subst
proveHyp
261
ref
2755
remove
8069
remove
cons
nil
cons
cons
811
ref
subst
eqMp
eqMp
proveHyp
proveHyp
eqMp
nil
2756
remove
153
ref
8005
remove
cons
nil
cons
8070
def
cons
nil
cons
cons
167
ref
subst
deductAntisym
eqMp
eqMp
eqMp
nil
2758
remove
8070
ref
cons
nil
cons
cons
167
ref
subst
deductAntisym
eqMp
eqMp
absThm
eqMp
nil
110
ref
99
ref
1892
ref
2759
remove
8003
ref
appTerm
absTerm
appTerm
nil
cons
cons
111
ref
2760
remove
8003
ref
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
175
ref
subst
proveHyp
207
ref
2761
remove
8070
ref
cons
nil
cons
cons
811
ref
subst
eqMp
eqMp
eqMp
nil
2762
remove
8070
ref
cons
nil
cons
cons
167
ref
subst
deductAntisym
eqMp
eqMp
absThm
eqMp
nil
110
ref
68
ref
263
ref
1894
remove
8003
ref
appTerm
absTerm
appTerm
nil
cons
cons
111
ref
1895
remove
8003
remove
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
175
ref
subst
proveHyp
261
ref
1896
remove
8070
remove
cons
nil
cons
cons
811
ref
subst
eqMp
eqMp
eqMp
absThm
eqMp
eqMp
absThm
eqMp
eqMp
absThm
eqMp
eqMp
nil
151
ref
7997
remove
cons
153
ref
7999
remove
cons
nil
cons
cons
nil
cons
cons
167
ref
subst
deductAntisym
eqMp
eqMp
absThm
eqMp
eqMp
nil
110
ref
49
ref
7983
remove
appTerm
7996
remove
appTerm
nil
cons
cons
111
ref
65
ref
7965
ref
appTerm
nil
cons
8071
def
cons
nil
cons
cons
nil
cons
cons
175
ref
subst
proveHyp
226
ref
216
ref
7965
ref
220
ref
appTerm
betaConv
appThm
224
ref
48
ref
226
ref
7967
ref
appThm
7965
ref
309
ref
appTerm
betaConv
appThm
absThm
appThm
appThm
appThm
224
ref
48
ref
7967
remove
absThm
appThm
appThm
nil
1024
ref
7965
remove
nil
cons
8072
def
cons
nil
cons
nil
cons
cons
1904
ref
subst
eqMp
eqMp
nil
110
ref
8071
remove
cons
111
ref
7966
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
175
ref
subst
proveHyp
256
ref
257
ref
8072
remove
cons
293
ref
cons
nil
cons
cons
205
ref
subst
eqMp
eqMp
8056
remove
proveHyp
8057
remove
eqMp
eqMp
8058
remove
proveHyp
8059
remove
eqMp
eqMp
8060
remove
proveHyp
8061
remove
eqMp
eqMp
eqMp
eqMp
eqMp
eqMp
nil
5837
remove
7982
ref
cons
nil
cons
cons
167
ref
subst
deductAntisym
eqMp
eqMp
absThm
eqMp
eqMp
eqMp
eqMp
nil
5810
remove
7982
remove
cons
nil
cons
cons
167
ref
subst
deductAntisym
eqMp
eqMp
absThm
eqMp
eqMp
absThm
eqMp
eqMp
absThm
eqMp
proveHyp
proveHyp
eqMp
nil
151
ref
7929
remove
cons
153
ref
7938
remove
cons
nil
cons
cons
nil
cons
cons
167
ref
subst
deductAntisym
eqMp
8073
def
subst
eqMp
eqMp
eqMp
eqMp
absThm
eqMp
nil
68
ref
7717
remove
appTerm
thm
nil
262
ref
1943
ref
99
ref
29
ref
99
ref
26
ref
99
ref
542
ref
7709
remove
4661
remove
appTerm
8074
def
absTerm
8075
def
appTerm
8076
def
absTerm
8077
def
appTerm
8078
def
absTerm
8079
def
appTerm
8080
def
absTerm
8081
def
nil
cons
cons
nil
cons
nil
cons
cons
663
ref
subst
1943
ref
nil
139
ref
8080
remove
nil
cons
cons
nil
cons
nil
cons
cons
146
ref
subst
nil
208
ref
8079
remove
nil
cons
cons
nil
cons
nil
cons
cons
643
ref
subst
29
ref
nil
139
ref
8078
remove
nil
cons
cons
nil
cons
nil
cons
cons
146
ref
subst
nil
208
ref
8077
remove
nil
cons
cons
nil
cons
nil
cons
cons
643
ref
subst
26
ref
nil
139
ref
8076
remove
nil
cons
cons
nil
cons
nil
cons
cons
146
ref
subst
nil
208
ref
8075
remove
nil
cons
cons
nil
cons
nil
cons
cons
643
ref
subst
542
ref
nil
139
ref
8074
remove
nil
cons
cons
nil
cons
nil
cons
cons
146
ref
subst
7721
remove
4662
remove
appThm
sym
1957
ref
4699
remove
subst
eqMp
eqMp
absThm
eqMp
eqMp
absThm
eqMp
eqMp
absThm
eqMp
eqMp
absThm
eqMp
nil
68
ref
8081
remove
appTerm
thm
nil
592
ref
539
ref
5017
remove
absTerm
8082
def
nil
cons
cons
nil
cons
nil
cons
cons
2815
ref
subst
539
ref
nil
139
ref
5018
remove
cons
nil
cons
nil
cons
cons
146
ref
subst
5016
remove
eqMp
absThm
eqMp
nil
588
ref
8082
remove
appTerm
thm
nil
208
ref
29
ref
99
ref
26
ref
65
ref
271
ref
65
ref
48
ref
99
ref
3515
ref
99
ref
3513
ref
71
ref
4024
remove
3523
ref
appTerm
appTerm
10
remove
3518
ref
appTerm
3521
ref
appTerm
appTerm
8083
def
absTerm
8084
def
appTerm
8085
def
absTerm
8086
def
appTerm
8087
def
absTerm
8088
def
appTerm
8089
def
absTerm
8090
def
appTerm
8091
def
absTerm
8092
def
appTerm
8093
def
absTerm
8094
def
nil
cons
cons
nil
cons
nil
cons
cons
643
ref
subst
29
ref
nil
139
ref
8093
remove
nil
cons
cons
nil
cons
nil
cons
cons
146
ref
subst
nil
208
ref
8092
remove
nil
cons
cons
nil
cons
nil
cons
cons
643
ref
subst
26
ref
nil
139
ref
8091
remove
nil
cons
cons
nil
cons
nil
cons
cons
146
ref
subst
nil
257
ref
8090
remove
nil
cons
cons
nil
cons
nil
cons
cons
662
ref
subst
271
ref
nil
139
ref
8089
remove
nil
cons
cons
nil
cons
nil
cons
cons
146
ref
subst
nil
257
ref
8088
remove
nil
cons
cons
nil
cons
nil
cons
cons
662
ref
subst
48
ref
nil
139
ref
8087
remove
nil
cons
cons
nil
cons
nil
cons
cons
146
ref
subst
nil
208
ref
8086
remove
nil
cons
cons
nil
cons
nil
cons
cons
643
ref
subst
3515
ref
nil
139
ref
8085
remove
nil
cons
cons
nil
cons
nil
cons
cons
146
ref
subst
nil
208
ref
8084
remove
nil
cons
cons
nil
cons
nil
cons
cons
643
ref
subst
3513
ref
nil
139
ref
8083
remove
nil
cons
cons
nil
cons
nil
cons
cons
146
ref
subst
226
ref
4031
remove
3571
ref
appThm
appThm
19
remove
3518
ref
refl
8095
def
appThm
3521
ref
refl
8096
def
appThm
appThm
sym
25
remove
3864
ref
subst
eqMp
eqMp
absThm
eqMp
eqMp
absThm
eqMp
eqMp
absThm
eqMp
eqMp
absThm
eqMp
eqMp
absThm
eqMp
eqMp
absThm
eqMp
nil
99
ref
8094
remove
appTerm
thm
nil
208
ref
29
ref
99
ref
26
ref
65
ref
271
ref
65
ref
48
ref
99
ref
3515
ref
99
ref
3513
ref
71
ref
4062
remove
3523
ref
appTerm
appTerm
436
remove
3518
ref
appTerm
3521
ref
appTerm
appTerm
8097
def
absTerm
8098
def
appTerm
8099
def
absTerm
8100
def
appTerm
8101
def
absTerm
8102
def
appTerm
8103
def
absTerm
8104
def
appTerm
8105
def
absTerm
8106
def
appTerm
8107
def
absTerm
8108
def
nil
cons
cons
nil
cons
nil
cons
cons
643
ref
subst
29
ref
nil
139
ref
8107
remove
nil
cons
cons
nil
cons
nil
cons
cons
146
ref
subst
nil
208
ref
8106
remove
nil
cons
cons
nil
cons
nil
cons
cons
643
ref
subst
26
ref
nil
139
ref
8105
remove
nil
cons
cons
nil
cons
nil
cons
cons
146
ref
subst
nil
257
ref
8104
remove
nil
cons
cons
nil
cons
nil
cons
cons
662
ref
subst
271
ref
nil
139
ref
8103
remove
nil
cons
cons
nil
cons
nil
cons
cons
146
ref
subst
nil
257
ref
8102
remove
nil
cons
cons
nil
cons
nil
cons
cons
662
ref
subst
48
ref
nil
139
ref
8101
remove
nil
cons
cons
nil
cons
nil
cons
cons
146
ref
subst
nil
208
ref
8100
remove
nil
cons
cons
nil
cons
nil
cons
cons
643
ref
subst
3515
ref
nil
139
ref
8099
remove
nil
cons
cons
nil
cons
nil
cons
cons
146
ref
subst
nil
208
ref
8098
remove
nil
cons
cons
nil
cons
nil
cons
cons
643
ref
subst
3513
ref
nil
139
ref
8097
remove
nil
cons
cons
nil
cons
nil
cons
cons
146
ref
subst
226
ref
4069
remove
3571
ref
appThm
appThm
439
remove
8095
ref
appThm
8096
ref
appThm
appThm
sym
441
remove
3864
ref
subst
eqMp
eqMp
absThm
eqMp
eqMp
absThm
eqMp
eqMp
absThm
eqMp
eqMp
absThm
eqMp
eqMp
absThm
eqMp
eqMp
absThm
eqMp
nil
99
ref
8108
remove
appTerm
thm
nil
208
ref
29
ref
99
ref
26
ref
65
ref
271
ref
65
ref
48
ref
99
ref
3515
ref
99
ref
3513
ref
71
ref
4070
remove
3523
remove
appTerm
appTerm
442
remove
3518
ref
appTerm
3521
ref
appTerm
appTerm
8109
def
absTerm
8110
def
appTerm
8111
def
absTerm
8112
def
appTerm
8113
def
absTerm
8114
def
appTerm
8115
def
absTerm
8116
def
appTerm
8117
def
absTerm
8118
def
appTerm
8119
def
absTerm
8120
def
nil
cons
cons
nil
cons
nil
cons
cons
643
ref
subst
29
ref
nil
139
ref
8119
remove
nil
cons
cons
nil
cons
nil
cons
cons
146
ref
subst
nil
208
ref
8118
remove
nil
cons
cons
nil
cons
nil
cons
cons
643
ref
subst
26
ref
nil
139
ref
8117
remove
nil
cons
cons
nil
cons
nil
cons
cons
146
ref
subst
nil
257
ref
8116
remove
nil
cons
cons
nil
cons
nil
cons
cons
662
ref
subst
271
ref
nil
139
ref
8115
remove
nil
cons
cons
nil
cons
nil
cons
cons
146
ref
subst
nil
257
ref
8114
remove
nil
cons
cons
nil
cons
nil
cons
cons
662
ref
subst
48
ref
nil
139
ref
8113
remove
nil
cons
cons
nil
cons
nil
cons
cons
146
ref
subst
nil
208
ref
8112
remove
nil
cons
cons
nil
cons
nil
cons
cons
643
ref
subst
3515
ref
nil
139
ref
8111
remove
nil
cons
cons
nil
cons
nil
cons
cons
146
ref
subst
nil
208
ref
8110
remove
nil
cons
cons
nil
cons
nil
cons
cons
643
ref
subst
3513
ref
nil
139
ref
8109
remove
nil
cons
cons
nil
cons
nil
cons
cons
146
ref
subst
226
ref
4077
remove
3571
remove
appThm
appThm
445
remove
8095
ref
appThm
8096
ref
appThm
appThm
sym
447
remove
3864
remove
subst
eqMp
eqMp
absThm
eqMp
eqMp
absThm
eqMp
eqMp
absThm
eqMp
eqMp
absThm
eqMp
eqMp
absThm
eqMp
eqMp
absThm
eqMp
nil
99
ref
8120
remove
appTerm
thm
nil
208
ref
29
ref
68
ref
227
ref
99
ref
26
ref
65
ref
271
ref
65
ref
48
ref
71
ref
49
ref
73
remove
275
ref
appTerm
233
ref
appTerm
8121
def
appTerm
236
ref
300
ref
275
ref
appTerm
8122
def
appTerm
57
ref
appTerm
41
ref
appTerm
8123
def
appTerm
8124
def
appTerm
698
ref
309
ref
appTerm
1080
ref
appTerm
8125
def
appTerm
8126
def
absTerm
8127
def
appTerm
8128
def
absTerm
8129
def
appTerm
8130
def
absTerm
8131
def
appTerm
8132
def
absTerm
8133
def
appTerm
8134
def
absTerm
8135
def
nil
cons
cons
nil
cons
nil
cons
cons
643
ref
subst
29
ref
nil
139
ref
8134
remove
nil
cons
cons
nil
cons
nil
cons
cons
146
ref
subst
nil
262
ref
8133
remove
nil
cons
cons
nil
cons
nil
cons
cons
663
ref
subst
227
ref
nil
139
ref
8132
remove
nil
cons
cons
nil
cons
nil
cons
cons
146
ref
subst
nil
208
ref
8131
remove
nil
cons
cons
nil
cons
nil
cons
cons
643
ref
subst
26
ref
nil
139
ref
8130
remove
nil
cons
cons
nil
cons
nil
cons
cons
146
ref
subst
nil
257
ref
8129
remove
nil
cons
cons
nil
cons
nil
cons
cons
662
ref
subst
271
ref
nil
139
ref
8128
remove
nil
cons
cons
nil
cons
nil
cons
cons
146
ref
subst
nil
257
ref
8127
remove
nil
cons
cons
nil
cons
nil
cons
cons
662
ref
subst
48
ref
nil
139
ref
8126
remove
nil
cons
cons
nil
cons
nil
cons
cons
146
ref
subst
nil
110
ref
8124
remove
nil
cons
8136
def
cons
111
ref
8125
remove
nil
cons
8137
def
cons
nil
cons
cons
nil
cons
cons
8138
def
126
ref
subst
8138
remove
194
ref
subst
nil
151
ref
8121
ref
nil
cons
8139
def
cons
153
ref
8123
ref
nil
cons
8140
def
cons
nil
cons
cons
nil
cons
cons
8141
def
167
ref
subst
8141
remove
334
ref
subst
698
ref
refl
8142
def
4831
remove
1231
ref
subst
appThm
1080
ref
refl
8143
def
appThm
sym
8142
remove
nil
270
remove
4830
remove
cons
nil
cons
cons
1247
ref
subst
appThm
8143
remove
appThm
sym
216
ref
nil
4527
remove
nil
cons
cons
2005
ref
subst
nil
139
ref
8139
remove
cons
nil
cons
nil
cons
cons
146
ref
subst
8121
remove
assume
eqMp
trans
appThm
236
ref
refl
4541
remove
appThm
222
ref
appThm
998
remove
appThm
nil
139
ref
8140
remove
cons
nil
cons
nil
cons
cons
146
ref
subst
8123
remove
assume
eqMp
trans
appThm
528
ref
trans
sym
145
ref
eqMp
nil
110
ref
49
ref
698
ref
240
ref
appTerm
243
remove
appTerm
appTerm
236
ref
1799
ref
240
ref
appTerm
appTerm
57
ref
appTerm
41
ref
appTerm
appTerm
nil
cons
cons
111
ref
698
ref
4137
remove
appTerm
1080
ref
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
175
ref
subst
proveHyp
nil
4655
remove
1918
remove
4196
remove
cons
cons
nil
cons
cons
542
ref
71
ref
49
ref
698
ref
496
ref
appTerm
41
ref
appTerm
appTerm
236
remove
1799
remove
496
ref
appTerm
appTerm
57
ref
appTerm
547
ref
appTerm
appTerm
appTerm
698
remove
498
remove
appTerm
4119
remove
547
ref
appTerm
appTerm
appTerm
8144
def
absTerm
8145
def
547
ref
appTerm
8146
def
betaConv
26
ref
99
ref
8145
ref
appTerm
8147
def
absTerm
8148
def
41
ref
appTerm
8149
def
betaConv
48
ref
99
ref
8148
ref
appTerm
8150
def
absTerm
8151
def
57
ref
appTerm
8152
def
betaConv
493
ref
65
ref
8151
ref
appTerm
8153
def
absTerm
8154
def
496
ref
appTerm
8155
def
betaConv
271
ref
65
ref
8154
ref
appTerm
8156
def
absTerm
8157
def
275
ref
appTerm
8158
def
betaConv
29
ref
65
ref
8157
ref
appTerm
8159
def
absTerm
8160
def
39
ref
appTerm
8161
def
betaConv
nil
99
ref
29
ref
99
ref
26
ref
99
ref
542
ref
65
ref
271
ref
65
ref
493
ref
65
ref
48
ref
8144
ref
absTerm
8162
def
appTerm
8163
def
absTerm
8164
def
appTerm
8165
def
absTerm
8166
def
appTerm
8167
def
absTerm
8168
def
appTerm
8169
def
absTerm
8170
def
appTerm
8171
def
absTerm
8172
def
appTerm
8173
def
axiom
nil
110
ref
8173
remove
nil
cons
8174
def
cons
8175
def
111
ref
99
ref
8160
ref
appTerm
nil
cons
8176
def
cons
nil
cons
cons
nil
cons
cons
8177
def
175
ref
subst
proveHyp
8177
ref
126
ref
subst
8177
remove
194
ref
subst
nil
208
ref
8160
remove
nil
cons
cons
8178
def
nil
cons
nil
cons
cons
643
ref
subst
29
ref
nil
139
ref
8159
remove
nil
cons
8179
def
cons
nil
cons
nil
cons
cons
146
ref
subst
nil
257
ref
8157
remove
nil
cons
cons
8180
def
nil
cons
nil
cons
cons
662
ref
subst
271
ref
nil
139
ref
8156
remove
nil
cons
8181
def
cons
nil
cons
nil
cons
cons
146
ref
subst
nil
257
ref
8154
remove
nil
cons
cons
8182
def
nil
cons
nil
cons
cons
662
ref
subst
493
ref
nil
139
ref
8153
remove
nil
cons
8183
def
cons
nil
cons
nil
cons
cons
146
ref
subst
nil
257
ref
8151
remove
nil
cons
cons
8184
def
nil
cons
nil
cons
cons
662
ref
subst
48
ref
nil
139
ref
8150
remove
nil
cons
8185
def
cons
nil
cons
nil
cons
cons
146
ref
subst
nil
208
ref
8148
remove
nil
cons
cons
8186
def
nil
cons
nil
cons
cons
643
ref
subst
26
ref
nil
139
ref
8147
remove
nil
cons
8187
def
cons
nil
cons
nil
cons
cons
146
ref
subst
nil
208
ref
8145
remove
nil
cons
cons
8188
def
nil
cons
nil
cons
cons
643
ref
subst
542
ref
nil
139
ref
8144
remove
nil
cons
cons
nil
cons
nil
cons
cons
146
ref
subst
8162
ref
57
ref
appTerm
8189
def
betaConv
8164
ref
496
ref
appTerm
8190
def
betaConv
8166
ref
275
ref
appTerm
8191
def
betaConv
8168
ref
547
ref
appTerm
8192
def
betaConv
8170
ref
41
ref
appTerm
8193
def
betaConv
8172
ref
39
ref
appTerm
8194
def
betaConv
nil
8175
remove
111
ref
8194
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
175
ref
subst
207
ref
208
ref
8172
remove
nil
cons
cons
210
ref
cons
nil
cons
cons
205
ref
subst
eqMp
eqMp
nil
110
ref
8171
remove
nil
cons
cons
111
ref
8193
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
175
ref
subst
proveHyp
207
ref
208
ref
8170
remove
nil
cons
cons
213
ref
cons
nil
cons
cons
205
ref
subst
eqMp
eqMp
nil
110
ref
8169
remove
nil
cons
cons
111
ref
8192
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
175
ref
subst
proveHyp
207
ref
208
ref
8168
remove
nil
cons
cons
595
ref
cons
nil
cons
cons
205
ref
subst
eqMp
eqMp
nil
110
ref
8167
remove
nil
cons
cons
111
ref
8191
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
175
ref
subst
proveHyp
256
ref
257
ref
8166
remove
nil
cons
cons
291
ref
cons
nil
cons
cons
205
ref
subst
eqMp
eqMp
nil
110
ref
8165
remove
nil
cons
cons
111
ref
8190
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
175
ref
subst
proveHyp
256
ref
257
ref
8164
remove
nil
cons
cons
509
ref
cons
nil
cons
cons
205
ref
subst
eqMp
eqMp
nil
110
ref
8163
remove
nil
cons
cons
111
ref
8189
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
175
ref
subst
proveHyp
256
ref
257
ref
8162
remove
nil
cons
cons
293
ref
cons
nil
cons
cons
205
ref
subst
eqMp
eqMp
eqMp
absThm
eqMp
eqMp
absThm
eqMp
eqMp
absThm
eqMp
eqMp
absThm
eqMp
eqMp
absThm
eqMp
eqMp
absThm
eqMp
eqMp
nil
151
ref
8174
remove
cons
153
ref
8176
ref
cons
nil
cons
cons
nil
cons
cons
167
ref
subst
deductAntisym
eqMp
eqMp
nil
110
ref
8176
remove
cons
111
ref
8161
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
175
ref
subst
proveHyp
207
ref
8178
remove
210
ref
cons
nil
cons
cons
205
ref
subst
eqMp
eqMp
nil
110
ref
8179
remove
cons
111
ref
8158
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
175
ref
subst
proveHyp
256
ref
8180
remove
291
ref
cons
nil
cons
cons
205
ref
subst
eqMp
eqMp
nil
110
ref
8181
remove
cons
111
ref
8155
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
175
ref
subst
proveHyp
256
ref
8182
remove
509
ref
cons
nil
cons
cons
205
ref
subst
eqMp
eqMp
nil
110
ref
8183
remove
cons
111
ref
8152
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
175
ref
subst
proveHyp
256
ref
8184
remove
293
ref
cons
nil
cons
cons
205
ref
subst
eqMp
eqMp
nil
110
ref
8185
remove
cons
111
ref
8149
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
175
ref
subst
proveHyp
207
ref
8186
remove
213
ref
cons
nil
cons
cons
205
ref
subst
eqMp
eqMp
nil
110
ref
8187
remove
cons
111
ref
8146
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
175
ref
subst
proveHyp
207
ref
8188
remove
595
ref
cons
nil
cons
cons
205
ref
subst
eqMp
eqMp
subst
eqMp
eqMp
eqMp
proveHyp
proveHyp
eqMp
nil
151
ref
8136
remove
cons
153
ref
8137
remove
cons
nil
cons
cons
nil
cons
cons
167
ref
subst
deductAntisym
eqMp
eqMp
absThm
eqMp
eqMp
absThm
eqMp
eqMp
absThm
eqMp
eqMp
absThm
eqMp
eqMp
absThm
eqMp
nil
99
ref
8135
remove
appTerm
thm
nil
208
ref
1444
ref
99
ref
1442
ref
99
ref
1441
ref
99
ref
1440
ref
99
ref
2548
ref
99
ref
2543
ref
71
ref
49
ref
532
ref
1449
ref
appTerm
1446
ref
appTerm
8195
def
2556
ref
appTerm
appTerm
532
ref
1457
ref
appTerm
1454
ref
appTerm
8196
def
2559
ref
appTerm
appTerm
appTerm
532
ref
1466
ref
appTerm
1463
ref
appTerm
8197
def
2563
ref
appTerm
appTerm
8198
def
absTerm
8199
def
appTerm
8200
def
absTerm
8201
def
appTerm
8202
def
absTerm
8203
def
appTerm
8204
def
absTerm
8205
def
appTerm
8206
def
absTerm
8207
def
appTerm
8208
def
absTerm
8209
def
nil
cons
cons
nil
cons
nil
cons
cons
643
ref
subst
1444
ref
nil
139
ref
8208
remove
nil
cons
cons
nil
cons
nil
cons
cons
146
ref
subst
nil
208
ref
8207
remove
nil
cons
cons
nil
cons
nil
cons
cons
643
ref
subst
1442
ref
nil
139
ref
8206
remove
nil
cons
cons
nil
cons
nil
cons
cons
146
ref
subst
nil
208
ref
8205
remove
nil
cons
cons
nil
cons
nil
cons
cons
643
ref
subst
1441
ref
nil
139
ref
8204
remove
nil
cons
cons
nil
cons
nil
cons
cons
146
ref
subst
nil
208
ref
8203
remove
nil
cons
cons
nil
cons
nil
cons
cons
643
ref
subst
1440
ref
nil
139
ref
8202
remove
nil
cons
cons
nil
cons
nil
cons
cons
146
ref
subst
nil
208
ref
8201
remove
nil
cons
cons
nil
cons
nil
cons
cons
643
ref
subst
2548
ref
nil
139
ref
8200
remove
nil
cons
cons
nil
cons
nil
cons
cons
146
ref
subst
nil
208
ref
8199
remove
nil
cons
cons
nil
cons
nil
cons
cons
643
ref
subst
2543
ref
nil
139
ref
8198
remove
nil
cons
cons
nil
cons
nil
cons
cons
146
ref
subst
226
ref
216
ref
538
ref
5908
ref
appThm
5909
ref
appThm
2556
ref
refl
8210
def
appThm
appThm
538
ref
5910
ref
appThm
5911
ref
appThm
2559
ref
refl
8211
def
appThm
appThm
appThm
538
ref
5912
ref
appThm
5913
ref
appThm
2563
ref
refl
8212
def
appThm
appThm
sym
541
ref
2742
ref
subst
eqMp
8213
def
eqMp
absThm
eqMp
eqMp
absThm
eqMp
eqMp
absThm
eqMp
eqMp
absThm
eqMp
eqMp
absThm
eqMp
eqMp
absThm
eqMp
nil
99
ref
8209
remove
appTerm
thm
nil
208
ref
1444
ref
99
ref
1442
ref
99
ref
1441
ref
99
ref
1440
ref
99
ref
2548
ref
99
ref
2543
ref
71
ref
49
ref
606
ref
1449
ref
appTerm
1446
ref
appTerm
2556
ref
appTerm
appTerm
606
ref
1457
ref
appTerm
1454
ref
appTerm
2559
ref
appTerm
appTerm
appTerm
606
ref
1466
ref
appTerm
1463
ref
appTerm
2563
ref
appTerm
appTerm
8214
def
absTerm
8215
def
appTerm
8216
def
absTerm
8217
def
appTerm
8218
def
absTerm
8219
def
appTerm
8220
def
absTerm
8221
def
appTerm
8222
def
absTerm
8223
def
appTerm
8224
def
absTerm
8225
def
nil
cons
cons
nil
cons
nil
cons
cons
643
ref
subst
1444
ref
nil
139
ref
8224
remove
nil
cons
cons
nil
cons
nil
cons
cons
146
ref
subst
nil
208
ref
8223
remove
nil
cons
cons
nil
cons
nil
cons
cons
643
ref
subst
1442
ref
nil
139
ref
8222
remove
nil
cons
cons
nil
cons
nil
cons
cons
146
ref
subst
nil
208
ref
8221
remove
nil
cons
cons
nil
cons
nil
cons
cons
643
ref
subst
1441
ref
nil
139
ref
8220
remove
nil
cons
cons
nil
cons
nil
cons
cons
146
ref
subst
nil
208
ref
8219
remove
nil
cons
cons
nil
cons
nil
cons
cons
643
ref
subst
1440
ref
nil
139
ref
8218
remove
nil
cons
cons
nil
cons
nil
cons
cons
146
ref
subst
nil
208
ref
8217
remove
nil
cons
cons
nil
cons
nil
cons
cons
643
ref
subst
2548
ref
nil
139
ref
8216
remove
nil
cons
cons
nil
cons
nil
cons
cons
146
ref
subst
nil
208
ref
8215
remove
nil
cons
cons
nil
cons
nil
cons
cons
643
ref
subst
2543
ref
nil
139
ref
8214
remove
nil
cons
cons
nil
cons
nil
cons
cons
146
ref
subst
226
ref
216
ref
609
ref
5908
ref
appThm
5909
ref
appThm
8210
ref
appThm
appThm
609
ref
5910
ref
appThm
5911
ref
appThm
8211
ref
appThm
appThm
appThm
609
ref
5912
ref
appThm
5913
ref
appThm
8212
ref
appThm
appThm
sym
611
ref
2742
ref
subst
eqMp
8226
def
eqMp
absThm
eqMp
eqMp
absThm
eqMp
eqMp
absThm
eqMp
eqMp
absThm
eqMp
eqMp
absThm
eqMp
eqMp
absThm
eqMp
nil
99
ref
8225
remove
appTerm
thm
nil
208
ref
1444
ref
99
ref
1442
ref
99
ref
1441
ref
99
ref
1440
ref
99
ref
2548
ref
99
ref
2543
ref
71
ref
49
ref
615
ref
1449
ref
appTerm
1446
ref
appTerm
2556
ref
appTerm
appTerm
615
ref
1457
ref
appTerm
1454
ref
appTerm
2559
ref
appTerm
appTerm
appTerm
615
ref
1466
ref
appTerm
1463
ref
appTerm
2563
ref
appTerm
appTerm
8227
def
absTerm
8228
def
appTerm
8229
def
absTerm
8230
def
appTerm
8231
def
absTerm
8232
def
appTerm
8233
def
absTerm
8234
def
appTerm
8235
def
absTerm
8236
def
appTerm
8237
def
absTerm
8238
def
nil
cons
cons
nil
cons
nil
cons
cons
643
ref
subst
1444
ref
nil
139
ref
8237
remove
nil
cons
cons
nil
cons
nil
cons
cons
146
ref
subst
nil
208
ref
8236
remove
nil
cons
cons
nil
cons
nil
cons
cons
643
ref
subst
1442
ref
nil
139
ref
8235
remove
nil
cons
cons
nil
cons
nil
cons
cons
146
ref
subst
nil
208
ref
8234
remove
nil
cons
cons
nil
cons
nil
cons
cons
643
ref
subst
1441
ref
nil
139
ref
8233
remove
nil
cons
cons
nil
cons
nil
cons
cons
146
ref
subst
nil
208
ref
8232
remove
nil
cons
cons
nil
cons
nil
cons
cons
643
ref
subst
1440
ref
nil
139
ref
8231
remove
nil
cons
cons
nil
cons
nil
cons
cons
146
ref
subst
nil
208
ref
8230
remove
nil
cons
cons
nil
cons
nil
cons
cons
643
ref
subst
2548
ref
nil
139
ref
8229
remove
nil
cons
cons
nil
cons
nil
cons
cons
146
ref
subst
nil
208
ref
8228
remove
nil
cons
cons
nil
cons
nil
cons
cons
643
ref
subst
2543
ref
nil
139
ref
8227
remove
nil
cons
cons
nil
cons
nil
cons
cons
146
ref
subst
226
ref
216
ref
618
ref
5908
ref
appThm
5909
ref
appThm
8210
ref
appThm
appThm
618
ref
5910
ref
appThm
5911
ref
appThm
8211
ref
appThm
appThm
appThm
618
ref
5912
ref
appThm
5913
ref
appThm
8212
ref
appThm
appThm
sym
620
ref
2742
ref
subst
eqMp
8239
def
eqMp
absThm
eqMp
eqMp
absThm
eqMp
eqMp
absThm
eqMp
eqMp
absThm
eqMp
eqMp
absThm
eqMp
eqMp
absThm
eqMp
nil
99
ref
8238
remove
appTerm
thm
nil
257
ref
48
ref
99
ref
29
ref
65
ref
2856
ref
71
ref
65
ref
66
ref
68
ref
69
ref
71
ref
77
ref
appTerm
36
ref
2913
ref
76
ref
appTerm
8240
def
2866
ref
appTerm
appTerm
8241
def
"Number.Natural.Bits.bit"
const
51
remove
constTerm
8242
def
57
ref
appTerm
8243
def
74
ref
appTerm
appTerm
8244
def
appTerm
absTerm
appTerm
absTerm
appTerm
8245
def
appTerm
52
ref
7578
ref
appTerm
8246
def
"Number.Natural.Bits.bound"
const
455
ref
constTerm
8247
def
57
ref
appTerm
8248
def
55
ref
appTerm
appTerm
8249
def
appTerm
8250
def
absTerm
8251
def
appTerm
8252
def
absTerm
8253
def
appTerm
8254
def
absTerm
8255
def
nil
cons
cons
nil
cons
nil
cons
cons
662
ref
subst
48
ref
nil
139
ref
8254
remove
nil
cons
cons
nil
cons
nil
cons
cons
146
ref
subst
nil
208
ref
8253
remove
nil
cons
cons
nil
cons
nil
cons
cons
643
ref
subst
29
ref
nil
139
ref
8252
remove
nil
cons
cons
nil
cons
nil
cons
cons
146
ref
subst
nil
257
ref
8251
remove
nil
cons
cons
nil
cons
nil
cons
cons
662
ref
subst
2856
ref
nil
139
ref
8250
ref
nil
cons
8256
def
cons
nil
cons
nil
cons
cons
146
ref
subst
1016
remove
nil
110
ref
47
ref
1020
ref
appTerm
nil
cons
cons
111
ref
8256
remove
cons
nil
cons
8257
def
cons
nil
cons
cons
175
ref
subst
155
ref
1022
remove
8250
remove
refl
8258
def
appThm
appThm
224
ref
493
ref
226
ref
1021
remove
appThm
8258
remove
appThm
absThm
appThm
appThm
nil
1024
ref
1020
remove
nil
cons
cons
8257
remove
cons
nil
cons
cons
1037
remove
subst
eqMp
224
ref
493
ref
nil
1340
ref
8249
ref
nil
cons
8259
def
cons
111
ref
8245
ref
nil
cons
8260
def
cons
110
ref
3611
remove
cons
nil
cons
cons
cons
nil
cons
cons
3124
remove
subst
absThm
appThm
trans
sym
nil
257
ref
493
ref
71
ref
3605
remove
8245
ref
appTerm
appTerm
8249
ref
appTerm
8261
def
absTerm
nil
cons
cons
nil
cons
nil
cons
cons
662
ref
subst
493
ref
nil
139
ref
8261
ref
nil
cons
cons
nil
cons
nil
cons
cons
146
ref
subst
48
ref
8261
remove
absTerm
8262
def
57
ref
appTerm
8263
def
betaConv
29
ref
65
ref
8262
ref
appTerm
8264
def
absTerm
8265
def
39
ref
appTerm
8266
def
betaConv
493
ref
99
ref
8265
ref
appTerm
8267
def
absTerm
8268
def
496
ref
appTerm
8269
def
betaConv
8270
def
nil
208
ref
29
ref
65
ref
48
ref
71
ref
2218
remove
8245
ref
appTerm
appTerm
8249
ref
appTerm
8271
def
absTerm
8272
def
appTerm
8273
def
absTerm
8274
def
nil
cons
cons
nil
cons
nil
cons
cons
643
ref
subst
29
ref
nil
139
ref
8273
remove
nil
cons
cons
nil
cons
nil
cons
cons
146
ref
subst
nil
257
ref
8272
remove
nil
cons
cons
nil
cons
nil
cons
cons
662
ref
subst
48
ref
nil
139
ref
8271
remove
nil
cons
cons
nil
cons
nil
cons
cons
146
ref
subst
226
ref
3166
remove
8245
ref
refl
appThm
appThm
8249
ref
refl
appThm
sym
nil
110
ref
3168
remove
8245
ref
appTerm
nil
cons
8275
def
cons
111
ref
8259
ref
cons
nil
cons
8276
def
cons
nil
cons
cons
8277
def
126
ref
subst
8277
remove
194
ref
subst
nil
1064
remove
153
ref
8260
remove
cons
nil
cons
8278
def
cons
nil
cons
cons
167
ref
subst
36
ref
"_31852"
2
ref
var
8279
def
52
ref
7577
ref
2864
ref
8279
remove
varTerm
8280
def
appTerm
2866
ref
appTerm
appTerm
appTerm
8248
ref
54
ref
8280
remove
appTerm
appTerm
appTerm
absTerm
8281
def
39
ref
appTerm
8282
def
appTerm
refl
8281
ref
20
ref
appTerm
betaConv
appThm
155
ref
8282
remove
betaConv
appThm
52
ref
7577
ref
2889
remove
appTerm
appTerm
8248
ref
218
remove
appTerm
appTerm
refl
appThm
trans
8281
remove
refl
1063
remove
appThm
eqMp
sym
217
ref
7594
remove
4558
remove
appThm
nil
52
ref
7577
ref
4554
remove
appTerm
appTerm
220
ref
appTerm
axiom
trans
appThm
8248
ref
refl
8283
def
221
ref
appThm
48
ref
52
ref
8248
ref
220
ref
appTerm
appTerm
220
ref
appTerm
absTerm
8284
def
57
ref
appTerm
8285
def
betaConv
nil
65
ref
8284
ref
appTerm
8286
def
axiom
nil
110
ref
8286
remove
nil
cons
cons
111
ref
8285
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
175
ref
subst
proveHyp
256
ref
257
ref
8284
remove
nil
cons
cons
293
ref
cons
nil
cons
cons
205
ref
subst
eqMp
eqMp
trans
appThm
1332
remove
trans
sym
145
ref
eqMp
eqMp
proveHyp
eqMp
nil
151
ref
8275
remove
cons
153
ref
8259
remove
cons
nil
cons
8287
def
cons
nil
cons
cons
167
ref
subst
deductAntisym
eqMp
eqMp
eqMp
absThm
eqMp
eqMp
absThm
eqMp
nil
110
ref
99
ref
8274
remove
appTerm
8288
def
nil
cons
cons
111
ref
65
ref
493
ref
71
ref
8267
ref
appTerm
99
ref
29
ref
65
ref
48
ref
71
ref
49
ref
56
ref
1223
ref
appTerm
8289
def
appTerm
8245
ref
appTerm
8290
def
appTerm
8249
remove
appTerm
8291
def
absTerm
8292
def
appTerm
8293
def
absTerm
8294
def
appTerm
8295
def
appTerm
8296
def
absTerm
8297
def
appTerm
8298
def
nil
cons
cons
nil
cons
cons
nil
cons
cons
194
ref
subst
proveHyp
nil
257
ref
8297
remove
nil
cons
cons
nil
cons
nil
cons
cons
662
ref
subst
493
ref
nil
139
ref
8296
remove
nil
cons
cons
nil
cons
nil
cons
cons
146
ref
subst
nil
110
ref
8267
remove
nil
cons
8299
def
cons
8300
def
111
ref
8295
remove
nil
cons
8301
def
cons
nil
cons
cons
nil
cons
cons
8302
def
126
ref
subst
8302
remove
194
ref
subst
nil
208
ref
8294
remove
nil
cons
cons
nil
cons
nil
cons
cons
643
ref
subst
29
ref
nil
139
ref
8293
remove
nil
cons
cons
nil
cons
nil
cons
cons
146
ref
subst
nil
257
ref
8292
remove
nil
cons
cons
nil
cons
nil
cons
cons
662
ref
subst
48
ref
nil
139
ref
8291
remove
nil
cons
cons
nil
cons
nil
cons
cons
146
ref
subst
nil
110
ref
8290
remove
nil
cons
8303
def
cons
8276
remove
cons
nil
cons
cons
8304
def
126
ref
subst
8304
remove
194
ref
subst
nil
151
ref
8289
ref
nil
cons
cons
8278
remove
cons
nil
cons
cons
8305
def
167
ref
subst
8305
remove
334
ref
subst
8246
ref
refl
8283
remove
8289
remove
assume
8306
def
appThm
nil
271
ref
508
ref
cons
nil
cons
nil
cons
cons
271
ref
52
ref
8248
ref
8122
remove
appTerm
appTerm
"Number.Natural.Bits.cons"
const
1
ref
3
ref
454
remove
cons
opType
constTerm
8307
def
"Number.Natural.Bits.head"
const
45
remove
constTerm
57
ref
appTerm
8308
def
appTerm
8309
def
8247
remove
"Number.Natural.Bits.tail"
const
238
remove
constTerm
57
ref
appTerm
8310
def
appTerm
8311
def
275
ref
appTerm
appTerm
appTerm
absTerm
8312
def
275
ref
appTerm
8313
def
betaConv
48
ref
65
ref
8312
ref
appTerm
8314
def
absTerm
8315
def
57
ref
appTerm
8316
def
betaConv
nil
65
ref
8315
ref
appTerm
8317
def
axiom
nil
110
ref
8317
remove
nil
cons
cons
111
ref
8316
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
175
ref
subst
proveHyp
256
ref
257
ref
8315
remove
nil
cons
cons
293
ref
cons
nil
cons
cons
205
ref
subst
eqMp
eqMp
nil
110
ref
8314
remove
nil
cons
cons
111
ref
8313
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
175
ref
subst
proveHyp
256
ref
257
ref
8312
remove
nil
cons
cons
291
ref
cons
nil
cons
cons
205
ref
subst
eqMp
eqMp
subst
trans
appThm
sym
nil
48
ref
508
remove
cons
nil
cons
nil
cons
cons
1094
ref
subst
8306
remove
eqMp
nil
110
ref
1000
ref
227
ref
725
ref
26
ref
1082
remove
3606
remove
appTerm
8318
def
absTerm
8319
def
appTerm
8320
def
absTerm
8321
def
appTerm
8322
def
nil
cons
cons
111
ref
8246
remove
8309
remove
8311
ref
496
ref
appTerm
8323
def
appTerm
8324
def
appTerm
8325
def
nil
cons
8326
def
cons
nil
cons
8327
def
cons
nil
cons
cons
175
ref
subst
proveHyp
nil
262
ref
227
ref
71
ref
8321
ref
233
ref
appTerm
8328
def
appTerm
8325
ref
appTerm
8329
def
absTerm
nil
cons
cons
nil
cons
nil
cons
cons
663
ref
subst
227
ref
nil
139
ref
8329
remove
nil
cons
cons
nil
cons
nil
cons
cons
146
ref
subst
nil
110
ref
8328
ref
nil
cons
8330
def
cons
8327
ref
cons
nil
cons
cons
8331
def
126
ref
subst
8331
remove
194
ref
subst
8328
ref
betaConv
8328
remove
assume
eqMp
nil
110
ref
8320
ref
nil
cons
cons
8327
ref
cons
nil
cons
cons
175
ref
subst
proveHyp
nil
208
ref
26
ref
71
ref
8319
ref
41
ref
appTerm
8332
def
appTerm
8325
ref
appTerm
8333
def
absTerm
nil
cons
cons
nil
cons
nil
cons
cons
643
ref
subst
26
ref
nil
139
ref
8333
remove
nil
cons
cons
nil
cons
nil
cons
cons
146
ref
subst
nil
110
ref
8332
ref
nil
cons
8334
def
cons
8327
ref
cons
nil
cons
cons
8335
def
126
ref
subst
8335
remove
194
ref
subst
8332
ref
betaConv
8332
remove
assume
eqMp
nil
110
ref
8318
remove
nil
cons
8336
def
cons
8327
remove
cons
nil
cons
cons
8337
def
175
ref
subst
proveHyp
8337
ref
126
ref
subst
8337
remove
194
ref
subst
nil
1106
remove
4716
remove
cons
nil
cons
cons
8338
def
167
ref
subst
8338
remove
334
ref
subst
36
ref
"_31856"
2
ref
var
8339
def
52
ref
7577
ref
2864
ref
8339
remove
varTerm
appTerm
2866
ref
appTerm
appTerm
appTerm
8324
ref
appTerm
absTerm
8340
def
39
ref
appTerm
8341
def
appTerm
refl
8340
ref
1080
ref
appTerm
betaConv
appThm
155
ref
8341
remove
betaConv
appThm
52
ref
7577
ref
2864
ref
1080
ref
appTerm
2866
ref
appTerm
appTerm
appTerm
8324
ref
appTerm
refl
appThm
trans
8340
remove
refl
1117
ref
appThm
eqMp
sym
217
ref
1173
remove
2856
ref
52
ref
7577
remove
2864
ref
1266
remove
appTerm
2866
ref
appTerm
appTerm
appTerm
456
ref
7578
remove
appTerm
7623
ref
55
ref
appTerm
appTerm
appTerm
absTerm
8342
def
2866
ref
appTerm
8343
def
betaConv
26
ref
65
ref
8342
ref
appTerm
8344
def
absTerm
8345
def
41
ref
appTerm
8346
def
betaConv
29
ref
99
ref
8345
ref
appTerm
8347
def
absTerm
8348
def
39
ref
appTerm
8349
def
betaConv
nil
99
ref
8348
ref
appTerm
8350
def
axiom
nil
110
ref
8350
remove
nil
cons
cons
111
ref
8349
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
175
ref
subst
proveHyp
207
ref
208
ref
8348
remove
nil
cons
cons
210
ref
cons
nil
cons
cons
205
ref
subst
eqMp
eqMp
nil
110
ref
8347
remove
nil
cons
cons
111
ref
8346
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
175
ref
subst
proveHyp
207
ref
208
ref
8345
remove
nil
cons
cons
213
ref
cons
nil
cons
cons
205
ref
subst
eqMp
eqMp
nil
110
ref
8344
remove
nil
cons
cons
111
ref
8343
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
175
ref
subst
proveHyp
256
ref
257
ref
8342
remove
nil
cons
cons
2925
ref
cons
nil
cons
cons
205
ref
subst
eqMp
eqMp
subst
1288
ref
2856
ref
52
ref
7615
remove
appTerm
7605
ref
2914
ref
appTerm
8351
def
appTerm
absTerm
8352
def
2866
ref
appTerm
8353
def
betaConv
227
ref
65
ref
8352
ref
appTerm
8354
def
absTerm
8355
def
233
ref
appTerm
8356
def
betaConv
nil
68
ref
8355
ref
appTerm
8357
def
axiom
nil
110
ref
8357
remove
nil
cons
cons
111
ref
8356
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
175
ref
subst
proveHyp
261
ref
262
ref
8355
remove
nil
cons
cons
265
ref
cons
nil
cons
cons
205
ref
subst
eqMp
eqMp
nil
110
ref
8354
remove
nil
cons
cons
111
ref
8353
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
175
ref
subst
proveHyp
256
ref
257
ref
8352
remove
nil
cons
cons
2925
ref
cons
nil
cons
cons
205
ref
subst
eqMp
eqMp
appThm
7623
ref
refl
1162
ref
appThm
appThm
trans
appThm
8324
ref
refl
appThm
sym
48
ref
71
ref
3607
ref
65
ref
66
ref
68
ref
69
ref
71
ref
3679
ref
appTerm
8358
def
8244
ref
appTerm
absTerm
appTerm
absTerm
appTerm
appTerm
appTerm
52
ref
7622
ref
appTerm
8359
def
8248
remove
60
ref
appTerm
appTerm
appTerm
absTerm
8360
def
8310
ref
appTerm
8361
def
betaConv
8265
ref
41
ref
appTerm
8362
def
betaConv
nil
8300
ref
111
ref
8362
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
175
ref
subst
207
ref
208
ref
8265
remove
nil
cons
cons
8363
def
213
ref
cons
nil
cons
cons
205
ref
subst
eqMp
eqMp
nil
110
ref
65
ref
8360
ref
appTerm
nil
cons
cons
111
ref
8361
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
175
ref
subst
proveHyp
256
ref
257
ref
8360
remove
nil
cons
cons
258
ref
8310
ref
nil
cons
cons
nil
cons
cons
nil
cons
cons
205
ref
subst
eqMp
eqMp
nil
110
ref
71
ref
3607
remove
65
ref
66
ref
68
ref
69
ref
8358
ref
8241
ref
8242
remove
8310
remove
appTerm
74
ref
appTerm
8364
def
appTerm
appTerm
absTerm
appTerm
absTerm
appTerm
appTerm
8365
def
appTerm
8359
remove
8311
ref
60
ref
appTerm
8366
def
appTerm
8367
def
appTerm
8368
def
nil
cons
cons
111
ref
52
ref
456
ref
8351
remove
appTerm
8369
def
7623
remove
240
ref
appTerm
appTerm
appTerm
8324
ref
appTerm
8370
def
nil
cons
8371
def
cons
nil
cons
8372
def
cons
nil
cons
cons
175
ref
subst
proveHyp
216
ref
4734
remove
4708
remove
appThm
4732
remove
trans
appThm
224
ref
66
ref
225
ref
69
ref
8358
ref
refl
8241
ref
refl
66
ref
36
ref
8364
ref
appTerm
8243
ref
1216
ref
appTerm
8373
def
appTerm
8374
def
absTerm
8375
def
74
ref
appTerm
8376
def
betaConv
48
ref
65
ref
8375
ref
appTerm
8377
def
absTerm
8378
def
57
ref
appTerm
8379
def
betaConv
224
ref
48
ref
224
ref
66
ref
8374
remove
assume
sym
36
ref
8373
ref
appTerm
8364
remove
appTerm
8380
def
assume
sym
deductAntisym
absThm
appThm
absThm
appThm
nil
65
ref
48
ref
65
ref
66
ref
8380
remove
absTerm
appTerm
absTerm
appTerm
axiom
eqMp
nil
110
ref
65
ref
8378
ref
appTerm
nil
cons
cons
111
ref
8379
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
175
ref
subst
proveHyp
256
ref
257
ref
8378
remove
nil
cons
cons
293
ref
cons
nil
cons
cons
205
ref
subst
eqMp
eqMp
nil
110
ref
8377
remove
nil
cons
cons
111
ref
8376
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
175
ref
subst
proveHyp
256
ref
257
ref
8375
remove
nil
cons
cons
260
ref
cons
nil
cons
cons
205
ref
subst
eqMp
eqMp
appThm
appThm
absThm
appThm
absThm
appThm
appThm
nil
139
ref
65
ref
66
ref
68
ref
69
ref
8358
remove
8241
remove
8373
remove
appTerm
8381
def
appTerm
8382
def
absTerm
8383
def
appTerm
8384
def
absTerm
8385
def
appTerm
nil
cons
cons
nil
cons
nil
cons
cons
527
ref
subst
trans
sym
nil
257
ref
8385
remove
nil
cons
cons
nil
cons
nil
cons
cons
662
ref
subst
66
ref
nil
139
ref
8384
remove
nil
cons
cons
nil
cons
nil
cons
cons
146
ref
subst
nil
262
ref
8383
remove
nil
cons
cons
nil
cons
nil
cons
cons
663
ref
subst
69
ref
nil
139
ref
8382
remove
nil
cons
cons
nil
cons
nil
cons
cons
146
ref
subst
nil
110
ref
3679
ref
nil
cons
8386
def
cons
111
ref
8381
remove
nil
cons
8387
def
cons
nil
cons
8388
def
cons
nil
cons
cons
8389
def
126
ref
subst
8389
remove
194
ref
subst
nil
1171
remove
213
ref
cons
nil
cons
cons
1296
remove
subst
nil
139
ref
8386
ref
cons
nil
cons
nil
cons
cons
146
ref
subst
3679
remove
assume
eqMp
trans
sym
145
ref
eqMp
nil
110
ref
72
ref
1080
ref
appTerm
8390
def
1216
remove
appTerm
76
ref
appTerm
nil
cons
cons
8388
remove
cons
nil
cons
cons
175
ref
subst
proveHyp
nil
1217
remove
nil
cons
nil
cons
cons
66
ref
71
ref
8390
ref
74
ref
appTerm
76
ref
appTerm
appTerm
8244
ref
appTerm
8391
def
absTerm
8392
def
74
ref
appTerm
8393
def
betaConv
69
ref
65
ref
8392
ref
appTerm
8394
def
absTerm
8395
def
76
ref
appTerm
8396
def
betaConv
36
ref
"_31860"
2
ref
var
8397
def
65
ref
66
ref
68
ref
69
ref
71
ref
72
ref
8397
remove
varTerm
appTerm
74
ref
appTerm
76
ref
appTerm
appTerm
8244
remove
appTerm
absTerm
appTerm
absTerm
appTerm
absTerm
8398
def
39
ref
appTerm
8399
def
appTerm
refl
8398
ref
1080
remove
appTerm
betaConv
appThm
155
ref
8399
remove
betaConv
appThm
65
ref
66
ref
68
ref
69
ref
8391
ref
absTerm
8400
def
appTerm
8401
def
absTerm
8402
def
appTerm
8403
def
refl
appThm
trans
8398
remove
refl
1117
remove
appThm
eqMp
8245
remove
assume
eqMp
nil
110
ref
8403
remove
nil
cons
8404
def
cons
8405
def
111
ref
68
ref
8395
ref
appTerm
nil
cons
8406
def
cons
nil
cons
cons
nil
cons
cons
8407
def
175
ref
subst
proveHyp
8407
ref
126
ref
subst
8407
remove
194
ref
subst
nil
262
ref
8395
remove
nil
cons
cons
8408
def
nil
cons
nil
cons
cons
663
ref
subst
69
ref
nil
139
ref
8394
remove
nil
cons
8409
def
cons
nil
cons
nil
cons
cons
146
ref
subst
nil
257
ref
8392
remove
nil
cons
cons
8410
def
nil
cons
nil
cons
cons
662
ref
subst
66
ref
nil
139
ref
8391
remove
nil
cons
cons
nil
cons
nil
cons
cons
146
ref
subst
8400
ref
76
ref
appTerm
8411
def
betaConv
8402
ref
74
ref
appTerm
8412
def
betaConv
nil
8405
remove
111
ref
8412
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
175
ref
subst
256
ref
257
ref
8402
remove
nil
cons
cons
260
ref
cons
nil
cons
cons
205
ref
subst
eqMp
eqMp
nil
110
ref
8401
remove
nil
cons
cons
111
ref
8411
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
175
ref
subst
proveHyp
261
ref
262
ref
8400
remove
nil
cons
cons
824
ref
cons
nil
cons
cons
205
ref
subst
eqMp
eqMp
eqMp
absThm
eqMp
eqMp
absThm
eqMp
eqMp
nil
151
ref
8404
remove
cons
153
ref
8406
ref
cons
nil
cons
cons
nil
cons
cons
167
ref
subst
deductAntisym
eqMp
eqMp
nil
110
ref
8406
remove
cons
111
ref
8396
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
175
ref
subst
proveHyp
261
ref
8408
remove
824
ref
cons
nil
cons
cons
205
ref
subst
eqMp
eqMp
nil
110
ref
8409
remove
cons
111
ref
8393
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
175
ref
subst
proveHyp
256
ref
8410
remove
260
ref
cons
nil
cons
cons
205
ref
subst
eqMp
eqMp
8413
def
subst
eqMp
eqMp
nil
151
ref
8386
remove
cons
153
ref
8387
remove
cons
nil
cons
cons
nil
cons
cons
167
ref
subst
deductAntisym
eqMp
eqMp
absThm
eqMp
eqMp
absThm
eqMp
eqMp
nil
110
ref
8365
ref
nil
cons
cons
8414
def
111
ref
71
ref
8367
ref
appTerm
8370
ref
appTerm
8415
def
nil
cons
cons
nil
cons
cons
nil
cons
cons
194
ref
subst
proveHyp
nil
110
ref
8367
ref
nil
cons
8416
def
cons
8372
remove
cons
nil
cons
cons
8417
def
126
ref
subst
8417
remove
194
ref
subst
36
ref
"_31864"
44
ref
var
8418
def
52
ref
8369
ref
7593
ref
8418
remove
varTerm
appTerm
240
ref
appTerm
appTerm
appTerm
8324
ref
appTerm
absTerm
8419
def
7622
remove
appTerm
8420
def
appTerm
refl
8419
ref
8366
ref
appTerm
betaConv
appThm
155
ref
8420
remove
betaConv
appThm
52
ref
8369
ref
7593
ref
8366
ref
appTerm
240
ref
appTerm
appTerm
appTerm
8324
remove
appTerm
refl
appThm
trans
8419
remove
refl
8367
remove
assume
appThm
eqMp
sym
217
ref
8369
remove
refl
nil
48
ref
8366
remove
nil
cons
cons
nil
cons
nil
cons
cons
48
ref
52
ref
7593
remove
57
ref
appTerm
240
ref
appTerm
appTerm
"Number.Natural.*"
const
455
remove
constTerm
7574
remove
appTerm
8421
def
57
ref
appTerm
appTerm
absTerm
8422
def
57
ref
appTerm
8423
def
betaConv
nil
65
ref
8422
ref
appTerm
8424
def
axiom
nil
110
ref
8424
remove
nil
cons
cons
111
ref
8423
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
175
ref
subst
proveHyp
256
ref
257
ref
8422
remove
nil
cons
cons
293
ref
cons
nil
cons
cons
205
ref
subst
eqMp
eqMp
subst
8421
ref
refl
8311
remove
refl
4733
remove
appThm
appThm
trans
appThm
nil
2856
ref
8323
ref
nil
cons
cons
"h"
3
remove
var
8425
def
7591
remove
cons
nil
cons
cons
nil
cons
cons
2856
ref
52
ref
456
remove
7605
remove
8425
ref
varTerm
8426
def
appTerm
appTerm
8421
remove
2866
ref
appTerm
appTerm
8427
def
appTerm
8307
ref
8426
ref
appTerm
2866
ref
appTerm
8428
def
appTerm
8429
def
absTerm
8430
def
2866
remove
appTerm
8431
def
betaConv
8425
ref
65
ref
8430
ref
appTerm
8432
def
absTerm
8433
def
8426
ref
appTerm
8434
def
betaConv
2237
remove
8425
ref
224
ref
2856
ref
8429
remove
assume
sym
52
ref
8428
remove
appTerm
8427
remove
appTerm
8435
def
assume
sym
deductAntisym
absThm
appThm
absThm
appThm
nil
343
ref
8425
remove
65
ref
2856
ref
8435
remove
absTerm
appTerm
absTerm
appTerm
axiom
eqMp
nil
110
ref
343
remove
8433
ref
appTerm
nil
cons
cons
111
ref
8434
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
175
ref
subst
proveHyp
345
remove
346
remove
8433
remove
nil
cons
cons
347
remove
8426
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
205
ref
subst
eqMp
eqMp
nil
110
ref
8432
remove
nil
cons
cons
111
ref
8431
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
175
ref
subst
proveHyp
256
ref
257
ref
8430
remove
nil
cons
cons
2925
remove
cons
nil
cons
cons
205
ref
subst
eqMp
eqMp
subst
trans
appThm
8307
remove
refl
8436
def
48
ref
36
ref
8308
ref
appTerm
8243
remove
220
ref
appTerm
8437
def
appTerm
8438
def
absTerm
8439
def
57
ref
appTerm
8440
def
betaConv
224
ref
48
ref
8438
remove
assume
sym
36
ref
8437
ref
appTerm
8308
remove
appTerm
8441
def
assume
sym
deductAntisym
absThm
appThm
nil
65
ref
48
ref
8441
remove
absTerm
appTerm
axiom
eqMp
nil
110
ref
65
ref
8439
ref
appTerm
nil
cons
cons
111
ref
8440
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
175
ref
subst
proveHyp
256
ref
257
ref
8439
remove
nil
cons
cons
293
ref
cons
nil
cons
cons
205
ref
subst
eqMp
eqMp
appThm
8323
remove
refl
8442
def
appThm
appThm
sym
8436
remove
nil
1170
ref
264
remove
cons
213
ref
cons
nil
cons
cons
1330
ref
subst
1389
remove
trans
sym
145
ref
eqMp
nil
110
ref
8390
remove
220
ref
appTerm
233
ref
appTerm
nil
cons
cons
111
ref
36
ref
2914
remove
appTerm
8437
remove
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
175
ref
subst
proveHyp
nil
1308
remove
1392
remove
cons
nil
cons
cons
8413
remove
subst
eqMp
appThm
8442
remove
appThm
eqMp
eqMp
eqMp
nil
151
ref
8416
ref
cons
153
ref
8371
ref
cons
nil
cons
cons
nil
cons
cons
167
ref
subst
deductAntisym
eqMp
eqMp
nil
110
ref
49
ref
8365
remove
appTerm
8415
remove
appTerm
nil
cons
cons
111
ref
71
ref
8368
remove
appTerm
8370
remove
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
175
ref
subst
proveHyp
nil
1340
ref
8371
remove
cons
111
ref
8416
remove
cons
8414
remove
nil
cons
cons
cons
nil
cons
cons
4271
ref
subst
eqMp
eqMp
eqMp
eqMp
proveHyp
proveHyp
eqMp
nil
151
ref
8336
remove
cons
153
ref
8326
remove
cons
nil
cons
8443
def
cons
nil
cons
cons
167
ref
subst
deductAntisym
eqMp
eqMp
eqMp
nil
151
ref
8334
remove
cons
8443
ref
cons
nil
cons
cons
167
ref
subst
deductAntisym
eqMp
eqMp
absThm
eqMp
nil
110
ref
99
ref
1892
ref
71
ref
8319
ref
1893
ref
appTerm
appTerm
8325
ref
appTerm
absTerm
appTerm
nil
cons
cons
111
ref
71
ref
8320
remove
appTerm
8325
ref
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
175
ref
subst
proveHyp
207
ref
208
ref
8319
remove
nil
cons
cons
8443
ref
cons
nil
cons
cons
811
ref
subst
eqMp
eqMp
eqMp
nil
151
ref
8330
remove
cons
8443
ref
cons
nil
cons
cons
167
ref
subst
deductAntisym
eqMp
eqMp
absThm
eqMp
nil
110
ref
68
ref
263
ref
71
ref
8321
ref
627
ref
appTerm
appTerm
8325
ref
appTerm
absTerm
appTerm
nil
cons
cons
111
ref
71
ref
8322
remove
appTerm
8325
remove
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
175
ref
subst
proveHyp
261
ref
262
ref
8321
remove
nil
cons
cons
8443
remove
cons
nil
cons
cons
811
ref
subst
eqMp
eqMp
eqMp
proveHyp
proveHyp
eqMp
nil
151
ref
8303
remove
cons
8287
remove
cons
nil
cons
cons
167
ref
subst
deductAntisym
eqMp
eqMp
absThm
eqMp
eqMp
absThm
eqMp
eqMp
nil
151
ref
8299
remove
cons
153
ref
8301
remove
cons
nil
cons
cons
nil
cons
cons
167
ref
subst
deductAntisym
eqMp
eqMp
absThm
eqMp
eqMp
nil
110
ref
49
ref
8288
remove
appTerm
8298
remove
appTerm
nil
cons
cons
111
ref
65
ref
8268
ref
appTerm
nil
cons
8444
def
cons
nil
cons
cons
nil
cons
cons
175
ref
subst
proveHyp
226
ref
216
ref
8268
ref
220
ref
appTerm
betaConv
appThm
224
ref
493
ref
226
ref
8270
ref
appThm
8268
ref
1223
remove
appTerm
betaConv
appThm
absThm
appThm
appThm
appThm
224
ref
493
ref
8270
remove
absThm
appThm
appThm
nil
1024
remove
8268
remove
nil
cons
8445
def
cons
nil
cons
nil
cons
cons
1904
remove
subst
eqMp
eqMp
nil
110
ref
8444
remove
cons
111
ref
8269
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
175
ref
subst
proveHyp
256
ref
257
ref
8445
remove
cons
509
ref
cons
nil
cons
cons
205
ref
subst
eqMp
eqMp
nil
8300
remove
111
ref
8266
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
175
ref
subst
proveHyp
207
ref
8363
remove
210
ref
cons
nil
cons
cons
205
ref
subst
eqMp
eqMp
nil
110
ref
8264
remove
nil
cons
cons
111
ref
8263
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
175
ref
subst
proveHyp
256
ref
257
ref
8262
remove
nil
cons
cons
293
ref
cons
nil
cons
cons
205
ref
subst
eqMp
eqMp
eqMp
absThm
eqMp
eqMp
eqMp
proveHyp
eqMp
absThm
eqMp
eqMp
absThm
eqMp
eqMp
absThm
eqMp
nil
65
ref
8255
remove
appTerm
thm
nil
208
ref
29
ref
65
ref
271
ref
65
ref
48
ref
99
ref
26
ref
65
ref
66
ref
68
ref
227
ref
3787
remove
absTerm
8446
def
appTerm
8447
def
absTerm
8448
def
appTerm
8449
def
absTerm
8450
def
appTerm
8451
def
absTerm
8452
def
appTerm
8453
def
absTerm
8454
def
appTerm
8455
def
absTerm
8456
def
nil
cons
cons
nil
cons
nil
cons
cons
643
ref
subst
29
ref
nil
139
ref
8455
remove
nil
cons
cons
nil
cons
nil
cons
cons
146
ref
subst
nil
257
ref
8454
remove
nil
cons
cons
nil
cons
nil
cons
cons
662
ref
subst
271
ref
nil
139
ref
8453
remove
nil
cons
cons
nil
cons
nil
cons
cons
146
ref
subst
nil
257
ref
8452
remove
nil
cons
cons
nil
cons
nil
cons
cons
662
ref
subst
48
ref
nil
139
ref
8451
remove
nil
cons
cons
nil
cons
nil
cons
cons
146
ref
subst
nil
208
ref
8450
remove
nil
cons
cons
nil
cons
nil
cons
cons
643
ref
subst
26
ref
nil
139
ref
8449
remove
nil
cons
cons
nil
cons
nil
cons
cons
146
ref
subst
nil
257
ref
8448
remove
nil
cons
cons
nil
cons
nil
cons
cons
662
ref
subst
66
ref
nil
139
ref
8447
remove
nil
cons
cons
nil
cons
nil
cons
cons
146
ref
subst
nil
262
ref
8446
remove
nil
cons
cons
nil
cons
nil
cons
cons
663
ref
subst
227
ref
nil
139
ref
3788
remove
cons
nil
cons
nil
cons
cons
146
ref
subst
3786
remove
eqMp
absThm
eqMp
eqMp
absThm
eqMp
eqMp
absThm
eqMp
eqMp
absThm
eqMp
eqMp
absThm
eqMp
eqMp
absThm
eqMp
nil
99
ref
8456
remove
appTerm
thm
nil
208
ref
29
ref
99
ref
26
ref
65
ref
452
ref
68
ref
453
ref
71
ref
4078
remove
465
ref
appTerm
appTerm
47
ref
66
ref
462
remove
75
ref
464
ref
appTerm
8457
def
appTerm
absTerm
appTerm
8458
def
appTerm
8459
def
absTerm
8460
def
appTerm
8461
def
absTerm
8462
def
appTerm
8463
def
absTerm
8464
def
appTerm
8465
def
absTerm
8466
def
nil
cons
cons
nil
cons
nil
cons
cons
643
ref
subst
29
ref
nil
139
ref
8465
remove
nil
cons
cons
nil
cons
nil
cons
cons
146
ref
subst
nil
208
ref
8464
remove
nil
cons
cons
nil
cons
nil
cons
cons
643
ref
subst
26
ref
nil
139
ref
8463
remove
nil
cons
cons
nil
cons
nil
cons
cons
146
ref
subst
nil
257
ref
8462
remove
nil
cons
cons
nil
cons
nil
cons
cons
662
ref
subst
452
remove
nil
139
ref
8461
remove
nil
cons
cons
nil
cons
nil
cons
cons
146
ref
subst
nil
262
ref
8460
remove
nil
cons
cons
nil
cons
nil
cons
cons
663
ref
subst
453
remove
nil
139
ref
8459
remove
nil
cons
cons
nil
cons
nil
cons
cons
146
ref
subst
226
ref
216
ref
486
remove
appThm
465
ref
refl
appThm
appThm
8458
ref
refl
appThm
sym
nil
110
ref
49
ref
479
remove
appTerm
465
ref
appTerm
nil
cons
8467
def
cons
111
ref
8458
remove
nil
cons
8468
def
cons
nil
cons
8469
def
cons
nil
cons
cons
8470
def
126
ref
subst
8470
remove
194
ref
subst
nil
4096
remove
4211
remove
cons
nil
cons
cons
8471
def
167
ref
subst
8471
remove
334
ref
subst
4095
remove
4094
remove
334
ref
subst
227
ref
71
ref
463
remove
233
ref
appTerm
appTerm
4229
ref
appTerm
absTerm
8472
def
464
ref
appTerm
8473
def
betaConv
66
ref
68
ref
227
ref
71
ref
1657
remove
appTerm
4234
remove
appTerm
absTerm
appTerm
absTerm
8474
def
458
ref
appTerm
8475
def
betaConv
1988
remove
41
ref
appTerm
8476
def
betaConv
2067
remove
nil
110
ref
2068
remove
nil
cons
cons
111
ref
8476
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
175
ref
subst
proveHyp
207
ref
1989
remove
213
ref
cons
nil
cons
cons
205
ref
subst
eqMp
eqMp
nil
110
ref
65
ref
8474
ref
appTerm
nil
cons
cons
111
ref
8475
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
175
ref
subst
proveHyp
256
ref
257
ref
8474
remove
nil
cons
cons
3785
ref
cons
nil
cons
cons
205
ref
subst
eqMp
eqMp
nil
110
ref
68
ref
8472
ref
appTerm
nil
cons
cons
111
ref
8473
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
175
ref
subst
proveHyp
261
ref
262
ref
8472
remove
nil
cons
cons
4241
ref
cons
nil
cons
cons
205
ref
subst
eqMp
eqMp
nil
110
ref
71
ref
465
remove
appTerm
4229
remove
appTerm
nil
cons
cons
8469
remove
cons
nil
cons
cons
175
ref
subst
proveHyp
226
ref
226
ref
nil
139
ref
4210
remove
cons
nil
cons
nil
cons
cons
146
ref
subst
4264
remove
eqMp
8477
def
appThm
nil
4142
remove
512
remove
cons
nil
cons
cons
48
ref
1780
ref
47
ref
1618
ref
276
ref
4481
remove
496
ref
appTerm
appTerm
absTerm
appTerm
appTerm
absTerm
8478
def
57
ref
appTerm
8479
def
betaConv
493
ref
65
ref
8478
ref
appTerm
8480
def
absTerm
8481
def
496
ref
appTerm
8482
def
betaConv
224
ref
493
ref
224
remove
48
ref
1780
remove
refl
215
ref
1618
ref
276
remove
refl
nil
4480
remove
nil
cons
nil
cons
cons
1247
ref
subst
appThm
absThm
appThm
appThm
absThm
appThm
absThm
appThm
4421
remove
eqMp
nil
110
ref
65
ref
8481
ref
appTerm
nil
cons
cons
111
ref
8482
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
175
ref
subst
proveHyp
256
ref
257
ref
8481
remove
nil
cons
cons
509
ref
cons
nil
cons
cons
205
ref
subst
eqMp
eqMp
nil
110
ref
8480
remove
nil
cons
cons
111
ref
8479
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
175
ref
subst
proveHyp
256
ref
257
ref
8478
remove
nil
cons
cons
293
ref
cons
nil
cons
cons
205
ref
subst
eqMp
eqMp
subst
215
ref
1618
ref
61
ref
refl
8483
def
4437
remove
3378
ref
subst
appThm
absThm
appThm
trans
appThm
nil
139
ref
47
ref
1618
ref
61
ref
300
ref
4436
remove
appTerm
appTerm
absTerm
8484
def
appTerm
8485
def
nil
cons
cons
nil
cons
nil
cons
cons
840
ref
subst
trans
appThm
215
ref
66
ref
216
ref
4131
remove
2191
ref
appThm
appThm
8457
ref
refl
8486
def
appThm
absThm
appThm
appThm
sym
nil
257
ref
66
ref
71
ref
8484
ref
74
ref
appTerm
8487
def
appTerm
47
ref
66
ref
49
ref
461
remove
60
ref
appTerm
appTerm
8457
ref
appTerm
absTerm
8488
def
appTerm
8489
def
appTerm
8490
def
absTerm
nil
cons
cons
nil
cons
nil
cons
cons
662
ref
subst
66
ref
nil
139
ref
8490
remove
nil
cons
cons
nil
cons
nil
cons
cons
146
ref
subst
nil
110
ref
8487
ref
nil
cons
8491
def
cons
111
ref
8489
ref
nil
cons
8492
def
cons
nil
cons
8493
def
cons
nil
cons
cons
8494
def
126
ref
subst
8494
remove
194
ref
subst
8487
ref
betaConv
8487
remove
assume
eqMp
nil
110
ref
61
ref
300
ref
4176
remove
appTerm
8495
def
appTerm
8496
def
nil
cons
8497
def
cons
8493
remove
cons
nil
cons
cons
8498
def
175
ref
subst
proveHyp
8498
ref
126
ref
subst
8498
remove
194
ref
subst
8488
ref
74
ref
appTerm
betaConv
sym
216
ref
4175
ref
8496
remove
assume
8499
def
nil
4178
remove
nil
cons
cons
1231
remove
subst
trans
8500
def
appThm
nil
258
ref
4190
remove
nil
cons
cons
nil
cons
nil
cons
cons
489
ref
subst
8501
def
trans
appThm
8486
ref
appThm
nil
139
ref
8457
ref
nil
cons
8502
def
cons
nil
cons
nil
cons
cons
527
ref
subst
trans
sym
2160
remove
nil
110
ref
2075
remove
cons
111
ref
8502
ref
cons
nil
cons
8503
def
cons
nil
cons
cons
175
ref
subst
proveHyp
1779
remove
4422
remove
subst
sym
1618
remove
56
remove
4463
remove
appTerm
absTerm
8504
def
458
ref
appTerm
betaConv
sym
217
ref
2191
ref
8499
remove
trans
appThm
4246
remove
48
ref
52
ref
497
remove
309
ref
appTerm
appTerm
3371
remove
appTerm
absTerm
8505
def
57
ref
appTerm
8506
def
betaConv
493
ref
65
ref
8505
ref
appTerm
8507
def
absTerm
8508
def
496
ref
appTerm
8509
def
betaConv
nil
65
ref
8508
ref
appTerm
8510
def
axiom
nil
110
ref
8510
remove
nil
cons
cons
111
ref
8509
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
175
ref
subst
proveHyp
256
ref
257
ref
8508
remove
nil
cons
cons
509
remove
cons
nil
cons
cons
205
ref
subst
eqMp
eqMp
nil
110
ref
8507
remove
nil
cons
cons
111
ref
8506
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
175
ref
subst
proveHyp
256
ref
257
ref
8505
remove
nil
cons
cons
293
ref
cons
nil
cons
cons
205
ref
subst
eqMp
eqMp
subst
appThm
nil
258
ref
8495
remove
nil
cons
cons
nil
cons
nil
cons
cons
489
remove
subst
trans
sym
145
ref
eqMp
eqMp
256
ref
257
ref
8504
remove
nil
cons
cons
3785
ref
cons
nil
cons
cons
724
ref
subst
proveHyp
eqMp
nil
2076
ref
111
ref
71
ref
2070
remove
appTerm
8457
ref
appTerm
8511
def
nil
cons
cons
nil
cons
8512
def
cons
nil
cons
cons
194
ref
subst
proveHyp
nil
262
ref
69
ref
71
ref
2069
ref
76
ref
appTerm
8513
def
appTerm
8457
ref
appTerm
8514
def
absTerm
nil
cons
cons
nil
cons
nil
cons
cons
663
ref
subst
69
ref
nil
139
ref
8514
remove
nil
cons
cons
nil
cons
nil
cons
cons
146
ref
subst
nil
110
ref
8513
ref
nil
cons
8515
def
cons
8503
ref
cons
nil
cons
cons
8516
def
126
ref
subst
8516
remove
194
ref
subst
8513
ref
betaConv
8517
def
8513
remove
assume
eqMp
nil
110
ref
667
remove
cons
8503
ref
cons
nil
cons
cons
8518
def
175
ref
subst
proveHyp
8518
ref
126
ref
subst
8518
remove
194
ref
subst
471
ref
464
ref
appTerm
8519
def
betaConv
473
ref
76
ref
appTerm
8520
def
betaConv
475
ref
458
remove
appTerm
8521
def
betaConv
477
ref
74
ref
appTerm
8522
def
betaConv
nil
110
ref
4093
remove
cons
111
ref
8522
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
175
ref
subst
256
ref
257
ref
477
remove
nil
cons
cons
260
ref
cons
nil
cons
cons
205
ref
subst
eqMp
eqMp
nil
110
ref
476
remove
nil
cons
cons
111
ref
8521
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
175
ref
subst
proveHyp
256
ref
257
ref
475
remove
nil
cons
cons
3785
remove
cons
nil
cons
cons
205
ref
subst
eqMp
eqMp
nil
110
ref
474
remove
nil
cons
cons
111
ref
8520
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
175
ref
subst
proveHyp
261
ref
262
ref
473
remove
nil
cons
cons
824
ref
cons
nil
cons
cons
205
ref
subst
eqMp
eqMp
nil
110
ref
472
remove
nil
cons
cons
111
ref
8519
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
175
ref
subst
proveHyp
261
ref
262
ref
471
remove
nil
cons
cons
4241
remove
cons
nil
cons
cons
205
ref
subst
eqMp
eqMp
nil
110
ref
470
remove
nil
cons
cons
8503
ref
cons
nil
cons
cons
175
ref
subst
proveHyp
226
ref
226
ref
216
ref
4175
remove
2191
remove
8500
remove
trans
appThm
8501
remove
trans
appThm
834
ref
8477
remove
appThm
528
ref
trans
appThm
528
ref
trans
appThm
520
remove
appThm
522
remove
840
ref
subst
trans
appThm
8486
remove
appThm
sym
nil
110
ref
521
ref
cons
8503
remove
cons
nil
cons
cons
8523
def
126
ref
subst
8523
remove
194
ref
subst
36
ref
"_31870"
11
ref
var
8524
def
75
remove
8524
remove
varTerm
appTerm
absTerm
8525
def
464
remove
appTerm
8526
def
appTerm
refl
8517
remove
appThm
155
ref
8526
remove
betaConv
appThm
77
remove
refl
appThm
trans
8525
remove
refl
469
remove
assume
sym
appThm
eqMp
sym
832
remove
eqMp
eqMp
nil
151
ref
521
remove
cons
153
ref
8502
ref
cons
nil
cons
8527
def
cons
nil
cons
cons
167
ref
subst
deductAntisym
eqMp
eqMp
eqMp
eqMp
nil
668
ref
8527
ref
cons
nil
cons
cons
167
ref
subst
deductAntisym
eqMp
eqMp
eqMp
nil
151
ref
8515
remove
cons
8527
ref
cons
nil
cons
cons
167
ref
subst
deductAntisym
eqMp
eqMp
absThm
eqMp
nil
110
ref
68
ref
263
ref
71
ref
2069
remove
627
ref
appTerm
appTerm
8457
ref
appTerm
absTerm
appTerm
nil
cons
cons
8512
remove
cons
nil
cons
cons
175
ref
subst
proveHyp
261
ref
2158
remove
8527
remove
cons
nil
cons
cons
811
ref
subst
eqMp
eqMp
nil
110
ref
49
ref
1766
remove
appTerm
8511
remove
appTerm
nil
cons
cons
111
ref
71
ref
2071
remove
appTerm
8457
remove
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
175
ref
subst
proveHyp
nil
1340
ref
8502
remove
cons
2078
remove
2076
remove
nil
cons
cons
cons
nil
cons
cons
4271
ref
subst
eqMp
eqMp
eqMp
eqMp
256
ref
257
ref
8488
remove
nil
cons
cons
260
ref
cons
nil
cons
cons
724
ref
subst
proveHyp
eqMp
nil
151
ref
8497
remove
cons
153
ref
8492
remove
cons
nil
cons
8528
def
cons
nil
cons
cons
167
ref
subst
deductAntisym
eqMp
eqMp
eqMp
nil
151
ref
8491
remove
cons
8528
ref
cons
nil
cons
cons
167
ref
subst
deductAntisym
eqMp
eqMp
absThm
eqMp
nil
110
ref
65
ref
258
ref
71
ref
8484
ref
797
ref
appTerm
appTerm
8489
ref
appTerm
absTerm
appTerm
nil
cons
cons
111
ref
71
ref
8485
remove
appTerm
8489
remove
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
175
ref
subst
proveHyp
256
ref
257
ref
8484
remove
nil
cons
cons
8528
remove
cons
nil
cons
cons
811
ref
subst
eqMp
eqMp
eqMp
proveHyp
proveHyp
proveHyp
proveHyp
eqMp
nil
151
ref
8467
remove
cons
153
ref
8468
remove
cons
nil
cons
cons
nil
cons
cons
167
ref
subst
deductAntisym
eqMp
eqMp
eqMp
absThm
eqMp
eqMp
absThm
eqMp
eqMp
absThm
eqMp
eqMp
absThm
eqMp
nil
99
ref
8466
remove
appTerm
thm
3865
remove
nil
3866
remove
thm
nil
262
ref
2291
ref
99
ref
2313
ref
68
ref
2343
ref
99
ref
2360
ref
68
ref
2445
ref
99
ref
2423
ref
36
ref
532
ref
2322
ref
appTerm
2369
ref
appTerm
2457
ref
appTerm
appTerm
49
ref
536
remove
2292
ref
appTerm
2344
ref
appTerm
2446
ref
appTerm
appTerm
8529
def
532
ref
2314
ref
appTerm
2361
ref
appTerm
2424
ref
appTerm
appTerm
appTerm
8530
def
absTerm
8531
def
appTerm
8532
def
absTerm
8533
def
appTerm
8534
def
absTerm
8535
def
appTerm
8536
def
absTerm
8537
def
appTerm
8538
def
absTerm
8539
def
appTerm
8540
def
absTerm
8541
def
nil
cons
cons
nil
cons
nil
cons
cons
663
ref
subst
2291
ref
nil
139
ref
8540
remove
nil
cons
cons
nil
cons
nil
cons
cons
146
ref
subst
nil
208
ref
8539
remove
nil
cons
cons
nil
cons
nil
cons
cons
643
ref
subst
2313
ref
nil
139
ref
8538
remove
nil
cons
cons
nil
cons
nil
cons
cons
146
ref
subst
nil
262
ref
8537
remove
nil
cons
cons
nil
cons
nil
cons
cons
663
ref
subst
2343
ref
nil
139
ref
8536
remove
nil
cons
cons
nil
cons
nil
cons
cons
146
ref
subst
nil
208
ref
8535
remove
nil
cons
cons
nil
cons
nil
cons
cons
643
ref
subst
2360
ref
nil
139
ref
8534
remove
nil
cons
cons
nil
cons
nil
cons
cons
146
ref
subst
nil
262
ref
8533
remove
nil
cons
cons
nil
cons
nil
cons
cons
663
ref
subst
2445
ref
nil
139
ref
8532
remove
nil
cons
cons
nil
cons
nil
cons
cons
146
ref
subst
nil
208
ref
8531
remove
nil
cons
cons
nil
cons
nil
cons
cons
643
ref
subst
2423
ref
nil
139
ref
8530
remove
nil
cons
cons
nil
cons
nil
cons
cons
146
ref
subst
155
ref
538
ref
7525
ref
appThm
3035
ref
appThm
7907
ref
appThm
appThm
8529
remove
refl
538
ref
7526
ref
appThm
3034
ref
appThm
7906
ref
appThm
appThm
appThm
sym
541
ref
5337
ref
subst
eqMp
eqMp
absThm
eqMp
eqMp
absThm
eqMp
eqMp
absThm
eqMp
eqMp
absThm
eqMp
eqMp
absThm
eqMp
eqMp
absThm
eqMp
nil
68
ref
8541
remove
appTerm
thm
nil
262
ref
2291
ref
99
ref
2313
ref
68
ref
2343
ref
99
ref
2360
ref
68
ref
2445
ref
99
ref
2423
ref
36
ref
606
ref
2322
ref
appTerm
2369
ref
appTerm
2457
ref
appTerm
appTerm
49
ref
607
remove
2292
ref
appTerm
2344
ref
appTerm
2446
ref
appTerm
appTerm
8542
def
606
ref
2314
ref
appTerm
2361
ref
appTerm
2424
ref
appTerm
appTerm
appTerm
8543
def
absTerm
8544
def
appTerm
8545
def
absTerm
8546
def
appTerm
8547
def
absTerm
8548
def
appTerm
8549
def
absTerm
8550
def
appTerm
8551
def
absTerm
8552
def
appTerm
8553
def
absTerm
8554
def
nil
cons
cons
nil
cons
nil
cons
cons
663
ref
subst
2291
ref
nil
139
ref
8553
remove
nil
cons
cons
nil
cons
nil
cons
cons
146
ref
subst
nil
208
ref
8552
remove
nil
cons
cons
nil
cons
nil
cons
cons
643
ref
subst
2313
ref
nil
139
ref
8551
remove
nil
cons
cons
nil
cons
nil
cons
cons
146
ref
subst
nil
262
ref
8550
remove
nil
cons
cons
nil
cons
nil
cons
cons
663
ref
subst
2343
ref
nil
139
ref
8549
remove
nil
cons
cons
nil
cons
nil
cons
cons
146
ref
subst
nil
208
ref
8548
remove
nil
cons
cons
nil
cons
nil
cons
cons
643
ref
subst
2360
ref
nil
139
ref
8547
remove
nil
cons
cons
nil
cons
nil
cons
cons
146
ref
subst
nil
262
ref
8546
remove
nil
cons
cons
nil
cons
nil
cons
cons
663
ref
subst
2445
ref
nil
139
ref
8545
remove
nil
cons
cons
nil
cons
nil
cons
cons
146
ref
subst
nil
208
ref
8544
remove
nil
cons
cons
nil
cons
nil
cons
cons
643
ref
subst
2423
ref
nil
139
ref
8543
remove
nil
cons
cons
nil
cons
nil
cons
cons
146
ref
subst
155
ref
609
ref
7525
ref
appThm
3035
ref
appThm
7907
ref
appThm
appThm
8542
remove
refl
609
ref
7526
ref
appThm
3034
ref
appThm
7906
ref
appThm
appThm
appThm
sym
611
ref
5337
ref
subst
eqMp
eqMp
absThm
eqMp
eqMp
absThm
eqMp
eqMp
absThm
eqMp
eqMp
absThm
eqMp
eqMp
absThm
eqMp
eqMp
absThm
eqMp
nil
68
ref
8554
remove
appTerm
thm
nil
262
ref
2291
ref
99
ref
2313
ref
68
ref
2343
ref
99
ref
2360
ref
68
ref
2445
ref
99
ref
2423
ref
36
ref
615
ref
2322
ref
appTerm
2369
ref
appTerm
2457
ref
appTerm
appTerm
49
ref
616
remove
2292
ref
appTerm
2344
ref
appTerm
2446
ref
appTerm
appTerm
8555
def
615
ref
2314
ref
appTerm
2361
ref
appTerm
2424
ref
appTerm
appTerm
appTerm
8556
def
absTerm
8557
def
appTerm
8558
def
absTerm
8559
def
appTerm
8560
def
absTerm
8561
def
appTerm
8562
def
absTerm
8563
def
appTerm
8564
def
absTerm
8565
def
appTerm
8566
def
absTerm
8567
def
nil
cons
cons
nil
cons
nil
cons
cons
663
ref
subst
2291
ref
nil
139
ref
8566
remove
nil
cons
cons
nil
cons
nil
cons
cons
146
ref
subst
nil
208
ref
8565
remove
nil
cons
cons
nil
cons
nil
cons
cons
643
ref
subst
2313
ref
nil
139
ref
8564
remove
nil
cons
cons
nil
cons
nil
cons
cons
146
ref
subst
nil
262
ref
8563
remove
nil
cons
cons
nil
cons
nil
cons
cons
663
ref
subst
2343
ref
nil
139
ref
8562
remove
nil
cons
cons
nil
cons
nil
cons
cons
146
ref
subst
nil
208
ref
8561
remove
nil
cons
cons
nil
cons
nil
cons
cons
643
ref
subst
2360
ref
nil
139
ref
8560
remove
nil
cons
cons
nil
cons
nil
cons
cons
146
ref
subst
nil
262
ref
8559
remove
nil
cons
cons
nil
cons
nil
cons
cons
663
ref
subst
2445
ref
nil
139
ref
8558
remove
nil
cons
cons
nil
cons
nil
cons
cons
146
ref
subst
nil
208
ref
8557
remove
nil
cons
cons
nil
cons
nil
cons
cons
643
ref
subst
2423
ref
nil
139
ref
8556
remove
nil
cons
cons
nil
cons
nil
cons
cons
146
ref
subst
155
ref
618
ref
7525
ref
appThm
3035
ref
appThm
7907
ref
appThm
appThm
8555
remove
refl
618
ref
7526
ref
appThm
3034
ref
appThm
7906
ref
appThm
appThm
appThm
sym
620
ref
5337
ref
subst
eqMp
eqMp
absThm
eqMp
eqMp
absThm
eqMp
eqMp
absThm
eqMp
eqMp
absThm
eqMp
eqMp
absThm
eqMp
eqMp
absThm
eqMp
nil
68
ref
8567
remove
appTerm
thm
nil
208
ref
857
ref
99
ref
29
ref
99
ref
26
ref
99
ref
542
ref
6933
remove
absTerm
8568
def
appTerm
8569
def
absTerm
8570
def
appTerm
8571
def
absTerm
8572
def
appTerm
8573
def
absTerm
8574
def
nil
cons
cons
8575
def
nil
cons
nil
cons
cons
643
ref
subst
857
ref
nil
139
ref
8573
remove
nil
cons
cons
nil
cons
nil
cons
cons
146
ref
subst
nil
208
ref
8572
remove
nil
cons
cons
nil
cons
nil
cons
cons
643
ref
subst
29
ref
nil
139
ref
8571
remove
nil
cons
cons
nil
cons
nil
cons
cons
146
ref
subst
nil
208
ref
8570
remove
nil
cons
cons
nil
cons
nil
cons
cons
643
ref
subst
26
ref
nil
139
ref
8569
remove
nil
cons
cons
nil
cons
nil
cons
cons
146
ref
subst
nil
208
ref
8568
remove
nil
cons
cons
nil
cons
nil
cons
cons
643
ref
subst
542
ref
nil
139
ref
6934
remove
cons
nil
cons
nil
cons
cons
146
ref
subst
6932
remove
eqMp
absThm
eqMp
eqMp
absThm
eqMp
eqMp
absThm
eqMp
eqMp
absThm
eqMp
8576
def
nil
99
ref
8574
ref
appTerm
8577
def
thm
nil
208
ref
857
ref
99
ref
29
ref
99
ref
26
ref
99
ref
542
ref
7179
remove
absTerm
8578
def
appTerm
8579
def
absTerm
8580
def
appTerm
8581
def
absTerm
8582
def
appTerm
8583
def
absTerm
8584
def
nil
cons
cons
8585
def
nil
cons
nil
cons
cons
643
ref
subst
857
ref
nil
139
ref
8583
remove
nil
cons
cons
nil
cons
nil
cons
cons
146
ref
subst
nil
208
ref
8582
remove
nil
cons
cons
nil
cons
nil
cons
cons
643
ref
subst
29
ref
nil
139
ref
8581
remove
nil
cons
cons
nil
cons
nil
cons
cons
146
ref
subst
nil
208
ref
8580
remove
nil
cons
cons
nil
cons
nil
cons
cons
643
ref
subst
26
ref
nil
139
ref
8579
remove
nil
cons
cons
nil
cons
nil
cons
cons
146
ref
subst
nil
208
ref
8578
remove
nil
cons
cons
nil
cons
nil
cons
cons
643
ref
subst
542
ref
nil
139
ref
7180
remove
cons
nil
cons
nil
cons
cons
146
ref
subst
7178
remove
eqMp
absThm
eqMp
eqMp
absThm
eqMp
eqMp
absThm
eqMp
eqMp
absThm
eqMp
8586
def
nil
99
ref
8584
ref
appTerm
8587
def
thm
7088
ref
nil
7089
remove
thm
nil
208
ref
857
ref
99
ref
29
ref
99
ref
26
ref
99
ref
542
ref
7267
remove
absTerm
8588
def
appTerm
8589
def
absTerm
8590
def
appTerm
8591
def
absTerm
8592
def
appTerm
8593
def
absTerm
8594
def
nil
cons
cons
8595
def
nil
cons
nil
cons
cons
643
ref
subst
857
ref
nil
139
ref
8593
remove
nil
cons
cons
nil
cons
nil
cons
cons
146
ref
subst
nil
208
ref
8592
remove
nil
cons
cons
nil
cons
nil
cons
cons
643
ref
subst
29
ref
nil
139
ref
8591
remove
nil
cons
cons
nil
cons
nil
cons
cons
146
ref
subst
nil
208
ref
8590
remove
nil
cons
cons
nil
cons
nil
cons
cons
643
ref
subst
26
ref
nil
139
ref
8589
remove
nil
cons
cons
nil
cons
nil
cons
cons
146
ref
subst
nil
208
ref
8588
remove
nil
cons
cons
nil
cons
nil
cons
cons
643
ref
subst
542
ref
nil
139
ref
7268
remove
cons
nil
cons
nil
cons
cons
146
ref
subst
7266
remove
eqMp
absThm
eqMp
eqMp
absThm
eqMp
eqMp
absThm
eqMp
eqMp
absThm
eqMp
8596
def
nil
99
ref
8594
ref
appTerm
8597
def
thm
nil
592
ref
539
ref
588
ref
"s"
533
remove
var
8598
def
99
ref
29
ref
99
ref
26
ref
99
ref
542
ref
71
ref
49
ref
68
ref
69
ref
68
ref
70
ref
68
ref
552
ref
71
ref
562
remove
appTerm
8598
ref
varTerm
8599
def
76
ref
appTerm
81
ref
appTerm
556
ref
appTerm
8600
def
appTerm
absTerm
8601
def
appTerm
8602
def
absTerm
8603
def
appTerm
8604
def
absTerm
8605
def
appTerm
8606
def
appTerm
8607
def
548
ref
appTerm
appTerm
535
remove
8599
ref
appTerm
39
ref
appTerm
41
ref
appTerm
547
ref
appTerm
appTerm
8608
def
absTerm
8609
def
appTerm
8610
def
absTerm
8611
def
appTerm
8612
def
absTerm
8613
def
appTerm
8614
def
absTerm
8615
def
appTerm
8616
def
absTerm
8617
def
nil
cons
cons
nil
cons
nil
cons
cons
2815
ref
subst
539
ref
nil
139
ref
8616
remove
nil
cons
cons
nil
cons
nil
cons
cons
146
ref
subst
nil
592
ref
8615
remove
nil
cons
cons
nil
cons
nil
cons
cons
2815
ref
subst
8598
remove
nil
139
ref
8614
remove
nil
cons
cons
nil
cons
nil
cons
cons
146
ref
subst
nil
208
ref
8613
remove
nil
cons
cons
nil
cons
nil
cons
cons
643
ref
subst
29
ref
nil
139
ref
8612
remove
nil
cons
cons
nil
cons
nil
cons
cons
146
ref
subst
nil
208
ref
8611
remove
nil
cons
cons
nil
cons
nil
cons
cons
643
ref
subst
26
ref
nil
139
ref
8610
remove
nil
cons
cons
nil
cons
nil
cons
cons
146
ref
subst
nil
208
ref
8609
remove
nil
cons
cons
nil
cons
nil
cons
cons
643
ref
subst
542
ref
nil
139
ref
8608
remove
nil
cons
cons
nil
cons
nil
cons
cons
146
ref
subst
226
ref
8607
ref
refl
596
ref
appThm
appThm
nil
539
ref
8599
remove
nil
cons
cons
nil
cons
nil
cons
cons
596
remove
subst
appThm
sym
nil
110
ref
8607
remove
575
remove
appTerm
nil
cons
8618
def
cons
111
ref
47
ref
48
ref
59
remove
63
remove
551
remove
65
ref
66
ref
68
ref
69
ref
68
ref
70
ref
68
ref
552
ref
560
remove
8600
ref
appTerm
8619
def
absTerm
8620
def
appTerm
8621
def
absTerm
8622
def
appTerm
8623
def
absTerm
8624
def
appTerm
8625
def
absTerm
8626
def
appTerm
8627
def
appTerm
appTerm
appTerm
absTerm
8628
def
appTerm
8629
def
nil
cons
8630
def
cons
nil
cons
8631
def
cons
nil
cons
cons
8632
def
126
ref
subst
8632
remove
194
ref
subst
nil
151
ref
8606
remove
nil
cons
8633
def
cons
153
ref
4928
remove
cons
nil
cons
cons
nil
cons
cons
8634
def
167
ref
subst
8634
remove
334
ref
subst
nil
4932
remove
8631
ref
cons
nil
cons
cons
175
ref
subst
nil
257
ref
48
ref
4664
remove
8629
ref
appTerm
8635
def
absTerm
nil
cons
cons
nil
cons
nil
cons
cons
662
ref
subst
48
ref
nil
139
ref
8635
remove
nil
cons
cons
nil
cons
nil
cons
cons
146
ref
subst
nil
4667
remove
8631
ref
cons
nil
cons
cons
8636
def
126
ref
subst
8636
remove
194
ref
subst
4671
remove
nil
4673
remove
8631
remove
cons
nil
cons
cons
8637
def
175
ref
subst
proveHyp
8637
ref
126
ref
subst
8637
remove
194
ref
subst
4676
remove
4677
remove
4679
remove
4680
remove
4685
remove
4936
remove
8628
ref
57
ref
appTerm
betaConv
sym
3098
remove
4688
remove
6724
remove
8627
ref
refl
appThm
nil
139
ref
8627
remove
nil
cons
cons
nil
cons
nil
cons
cons
527
ref
subst
8638
def
trans
appThm
8638
ref
trans
appThm
8638
remove
trans
sym
nil
257
ref
8626
remove
nil
cons
cons
nil
cons
nil
cons
cons
662
ref
subst
66
ref
nil
139
ref
8625
remove
nil
cons
cons
nil
cons
nil
cons
cons
146
ref
subst
nil
262
ref
8624
remove
nil
cons
cons
nil
cons
nil
cons
cons
663
ref
subst
69
ref
nil
139
ref
8623
remove
nil
cons
cons
nil
cons
nil
cons
cons
146
ref
subst
nil
262
ref
8622
remove
nil
cons
cons
nil
cons
nil
cons
cons
663
ref
subst
70
ref
nil
139
ref
8621
remove
nil
cons
cons
nil
cons
nil
cons
cons
146
ref
subst
nil
262
ref
8620
remove
nil
cons
cons
nil
cons
nil
cons
cons
663
ref
subst
552
ref
nil
139
ref
8619
remove
nil
cons
cons
nil
cons
nil
cons
cons
146
ref
subst
nil
4937
remove
111
ref
8600
remove
nil
cons
8639
def
cons
nil
cons
8640
def
cons
nil
cons
cons
8641
def
126
ref
subst
8641
remove
194
ref
subst
nil
668
ref
153
ref
558
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
8642
def
167
ref
subst
8642
remove
334
ref
subst
nil
151
ref
5529
remove
cons
8643
def
153
ref
557
ref
nil
cons
8644
def
cons
nil
cons
cons
nil
cons
cons
8645
def
167
ref
subst
8645
remove
334
ref
subst
5242
remove
sym
834
remove
216
ref
5531
ref
appThm
nil
139
ref
8644
remove
cons
nil
cons
nil
cons
cons
146
ref
subst
557
remove
assume
eqMp
appThm
528
ref
trans
appThm
528
ref
trans
sym
145
ref
eqMp
eqMp
256
ref
5228
remove
260
ref
cons
nil
cons
cons
724
ref
subst
proveHyp
5233
remove
proveHyp
5246
remove
eqMp
nil
110
ref
600
remove
cons
8640
remove
cons
nil
cons
cons
175
ref
subst
proveHyp
8601
ref
556
ref
appTerm
8646
def
betaConv
8603
ref
81
ref
appTerm
8647
def
betaConv
8605
ref
76
ref
appTerm
8648
def
betaConv
nil
110
ref
8633
remove
cons
111
ref
8648
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
175
ref
subst
261
ref
262
ref
8605
remove
nil
cons
cons
824
ref
cons
nil
cons
cons
205
ref
subst
eqMp
eqMp
nil
110
ref
8604
remove
nil
cons
cons
111
ref
8647
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
175
ref
subst
proveHyp
261
ref
262
ref
8603
remove
nil
cons
cons
828
ref
cons
nil
cons
cons
205
ref
subst
eqMp
eqMp
nil
110
ref
8602
remove
nil
cons
cons
111
ref
8646
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
175
ref
subst
proveHyp
261
ref
262
ref
8601
remove
nil
cons
cons
2526
ref
cons
nil
cons
cons
205
ref
subst
eqMp
eqMp
eqMp
proveHyp
proveHyp
proveHyp
proveHyp
eqMp
nil
5244
remove
153
ref
8639
remove
cons
nil
cons
cons
nil
cons
cons
167
ref
subst
deductAntisym
eqMp
eqMp
absThm
eqMp
eqMp
absThm
eqMp
eqMp
absThm
eqMp
eqMp
absThm
eqMp
eqMp
eqMp
256
ref
257
ref
8628
remove
nil
cons
cons
293
ref
cons
nil
cons
cons
724
ref
subst
proveHyp
proveHyp
proveHyp
proveHyp
proveHyp
proveHyp
proveHyp
eqMp
nil
4693
remove
153
ref
8630
remove
cons
nil
cons
8649
def
cons
nil
cons
cons
167
ref
subst
deductAntisym
eqMp
eqMp
eqMp
nil
4695
remove
8649
ref
cons
nil
cons
cons
167
ref
subst
deductAntisym
eqMp
eqMp
absThm
eqMp
nil
110
ref
65
ref
258
ref
4696
remove
8629
ref
appTerm
absTerm
appTerm
nil
cons
cons
111
ref
4697
remove
8629
remove
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
175
ref
subst
proveHyp
256
ref
4698
remove
8649
ref
cons
nil
cons
cons
811
ref
subst
eqMp
eqMp
proveHyp
proveHyp
eqMp
nil
151
ref
8618
remove
cons
8649
remove
cons
nil
cons
cons
167
ref
subst
deductAntisym
eqMp
eqMp
eqMp
absThm
eqMp
eqMp
absThm
eqMp
eqMp
absThm
eqMp
eqMp
absThm
eqMp
eqMp
absThm
eqMp
nil
588
ref
8617
remove
appTerm
thm
nil
262
ref
1943
ref
99
ref
1444
ref
99
ref
1442
ref
99
ref
1441
ref
99
ref
1440
ref
99
ref
2548
ref
99
ref
2543
ref
71
ref
49
ref
1945
ref
1449
ref
appTerm
1446
ref
appTerm
2556
ref
appTerm
appTerm
1945
ref
1457
ref
appTerm
1454
ref
appTerm
2559
ref
appTerm
appTerm
appTerm
1945
ref
1466
ref
appTerm
1463
ref
appTerm
2563
ref
appTerm
appTerm
8650
def
absTerm
8651
def
appTerm
8652
def
absTerm
8653
def
appTerm
8654
def
absTerm
8655
def
appTerm
8656
def
absTerm
8657
def
appTerm
8658
def
absTerm
8659
def
appTerm
8660
def
absTerm
8661
def
appTerm
8662
def
absTerm
8663
def
nil
cons
cons
nil
cons
nil
cons
cons
663
ref
subst
1943
ref
nil
139
ref
8662
remove
nil
cons
cons
nil
cons
nil
cons
cons
146
ref
subst
nil
208
ref
8661
remove
nil
cons
cons
nil
cons
nil
cons
cons
643
ref
subst
1444
ref
nil
139
ref
8660
remove
nil
cons
cons
nil
cons
nil
cons
cons
146
ref
subst
nil
208
ref
8659
remove
nil
cons
cons
nil
cons
nil
cons
cons
643
ref
subst
1442
ref
nil
139
ref
8658
remove
nil
cons
cons
nil
cons
nil
cons
cons
146
ref
subst
nil
208
ref
8657
remove
nil
cons
cons
nil
cons
nil
cons
cons
643
ref
subst
1441
ref
nil
139
ref
8656
remove
nil
cons
cons
nil
cons
nil
cons
cons
146
ref
subst
nil
208
ref
8655
remove
nil
cons
cons
nil
cons
nil
cons
cons
643
ref
subst
1440
ref
nil
139
ref
8654
remove
nil
cons
cons
nil
cons
nil
cons
cons
146
ref
subst
nil
208
ref
8653
remove
nil
cons
cons
nil
cons
nil
cons
cons
643
ref
subst
2548
ref
nil
139
ref
8652
remove
nil
cons
cons
nil
cons
nil
cons
cons
146
ref
subst
nil
208
ref
8651
remove
nil
cons
cons
nil
cons
nil
cons
cons
643
ref
subst
2543
ref
nil
139
ref
8650
remove
nil
cons
cons
nil
cons
nil
cons
cons
146
ref
subst
226
ref
216
ref
1953
ref
5908
remove
appThm
5909
remove
appThm
8210
remove
appThm
appThm
1953
ref
5910
remove
appThm
5911
remove
appThm
8211
remove
appThm
appThm
appThm
1953
ref
5912
remove
appThm
5913
remove
appThm
8212
remove
appThm
appThm
sym
1957
ref
2742
ref
subst
eqMp
eqMp
absThm
eqMp
eqMp
absThm
eqMp
eqMp
absThm
eqMp
eqMp
absThm
eqMp
eqMp
absThm
eqMp
eqMp
absThm
eqMp
eqMp
absThm
eqMp
nil
68
ref
8663
remove
appTerm
thm
nil
592
ref
539
ref
99
ref
1444
ref
99
ref
1442
ref
99
ref
1441
ref
99
ref
1440
ref
99
ref
2548
ref
99
ref
2543
ref
71
ref
49
ref
545
ref
1449
ref
appTerm
1446
ref
appTerm
2556
ref
appTerm
appTerm
545
ref
1457
ref
appTerm
1454
ref
appTerm
2559
ref
appTerm
appTerm
appTerm
545
remove
1466
ref
appTerm
1463
ref
appTerm
2563
ref
appTerm
appTerm
8664
def
absTerm
8665
def
appTerm
8666
def
absTerm
8667
def
appTerm
8668
def
absTerm
8669
def
appTerm
8670
def
absTerm
8671
def
appTerm
8672
def
absTerm
8673
def
appTerm
8674
def
absTerm
8675
def
appTerm
8676
def
absTerm
8677
def
nil
cons
cons
nil
cons
nil
cons
cons
2815
ref
subst
539
ref
nil
139
ref
8676
remove
nil
cons
cons
nil
cons
nil
cons
cons
146
ref
subst
nil
208
ref
8675
remove
nil
cons
cons
nil
cons
nil
cons
cons
643
ref
subst
1444
ref
nil
139
ref
8674
remove
nil
cons
cons
nil
cons
nil
cons
cons
146
ref
subst
nil
208
ref
8673
remove
nil
cons
cons
nil
cons
nil
cons
cons
643
ref
subst
1442
ref
nil
139
ref
8672
remove
nil
cons
cons
nil
cons
nil
cons
cons
146
ref
subst
nil
208
ref
8671
remove
nil
cons
cons
nil
cons
nil
cons
cons
643
ref
subst
1441
ref
nil
139
ref
8670
remove
nil
cons
cons
nil
cons
nil
cons
cons
146
ref
subst
nil
208
ref
8669
remove
nil
cons
cons
nil
cons
nil
cons
cons
643
ref
subst
1440
ref
nil
139
ref
8668
remove
nil
cons
cons
nil
cons
nil
cons
cons
146
ref
subst
nil
208
ref
8667
remove
nil
cons
cons
nil
cons
nil
cons
cons
643
ref
subst
2548
ref
nil
139
ref
8666
remove
nil
cons
cons
nil
cons
nil
cons
cons
146
ref
subst
nil
208
ref
8665
remove
nil
cons
cons
nil
cons
nil
cons
cons
643
ref
subst
2543
ref
nil
139
ref
8664
remove
nil
cons
cons
nil
cons
nil
cons
cons
146
ref
subst
2742
remove
eqMp
absThm
eqMp
eqMp
absThm
eqMp
eqMp
absThm
eqMp
eqMp
absThm
eqMp
eqMp
absThm
eqMp
eqMp
absThm
eqMp
eqMp
absThm
eqMp
nil
588
ref
8677
remove
appTerm
thm
nil
208
ref
29
ref
99
ref
26
ref
99
ref
542
ref
65
ref
66
ref
68
ref
69
ref
68
ref
70
ref
68
ref
552
ref
71
ref
5786
ref
559
ref
appTerm
appTerm
2171
ref
appTerm
8678
def
absTerm
8679
def
appTerm
8680
def
absTerm
8681
def
appTerm
8682
def
absTerm
8683
def
appTerm
8684
def
absTerm
8685
def
appTerm
8686
def
absTerm
8687
def
appTerm
8688
def
absTerm
8689
def
appTerm
8690
def
absTerm
8691
def
nil
cons
cons
nil
cons
nil
cons
cons
643
ref
subst
29
ref
nil
139
ref
8690
remove
nil
cons
cons
nil
cons
nil
cons
cons
146
ref
subst
nil
208
ref
8689
remove
nil
cons
cons
nil
cons
nil
cons
cons
643
ref
subst
26
ref
nil
139
ref
8688
remove
nil
cons
cons
nil
cons
nil
cons
cons
146
ref
subst
nil
208
ref
8687
remove
nil
cons
cons
nil
cons
nil
cons
cons
643
ref
subst
542
ref
nil
139
ref
8686
remove
nil
cons
cons
nil
cons
nil
cons
cons
146
ref
subst
nil
257
ref
8685
remove
nil
cons
cons
nil
cons
nil
cons
cons
662
ref
subst
66
ref
nil
139
ref
8684
remove
nil
cons
cons
nil
cons
nil
cons
cons
146
ref
subst
nil
262
ref
8683
remove
nil
cons
cons
nil
cons
nil
cons
cons
663
ref
subst
69
ref
nil
139
ref
8682
remove
nil
cons
cons
nil
cons
nil
cons
cons
146
ref
subst
nil
262
ref
8681
remove
nil
cons
cons
nil
cons
nil
cons
cons
663
ref
subst
70
ref
nil
139
ref
8680
remove
nil
cons
cons
nil
cons
nil
cons
cons
146
ref
subst
nil
262
ref
8679
remove
nil
cons
cons
nil
cons
nil
cons
cons
663
ref
subst
552
ref
nil
139
ref
8678
remove
nil
cons
cons
nil
cons
nil
cons
cons
146
ref
subst
226
ref
5803
ref
4924
ref
appThm
appThm
2171
remove
refl
appThm
sym
541
ref
4944
ref
subst
eqMp
eqMp
absThm
eqMp
eqMp
absThm
eqMp
eqMp
absThm
eqMp
eqMp
absThm
eqMp
eqMp
absThm
eqMp
eqMp
absThm
eqMp
eqMp
absThm
eqMp
nil
99
ref
8691
remove
appTerm
thm
nil
208
ref
29
ref
99
ref
26
ref
99
ref
542
ref
65
ref
66
ref
68
ref
69
ref
68
ref
70
ref
68
ref
552
ref
71
ref
5843
ref
559
ref
appTerm
appTerm
2781
ref
appTerm
8692
def
absTerm
8693
def
appTerm
8694
def
absTerm
8695
def
appTerm
8696
def
absTerm
8697
def
appTerm
8698
def
absTerm
8699
def
appTerm
8700
def
absTerm
8701
def
appTerm
8702
def
absTerm
8703
def
appTerm
8704
def
absTerm
8705
def
nil
cons
cons
nil
cons
nil
cons
cons
643
ref
subst
29
ref
nil
139
ref
8704
remove
nil
cons
cons
nil
cons
nil
cons
cons
146
ref
subst
nil
208
ref
8703
remove
nil
cons
cons
nil
cons
nil
cons
cons
643
ref
subst
26
ref
nil
139
ref
8702
remove
nil
cons
cons
nil
cons
nil
cons
cons
146
ref
subst
nil
208
ref
8701
remove
nil
cons
cons
nil
cons
nil
cons
cons
643
ref
subst
542
ref
nil
139
ref
8700
remove
nil
cons
cons
nil
cons
nil
cons
cons
146
ref
subst
nil
257
ref
8699
remove
nil
cons
cons
nil
cons
nil
cons
cons
662
ref
subst
66
ref
nil
139
ref
8698
remove
nil
cons
cons
nil
cons
nil
cons
cons
146
ref
subst
nil
262
ref
8697
remove
nil
cons
cons
nil
cons
nil
cons
cons
663
ref
subst
69
ref
nil
139
ref
8696
remove
nil
cons
cons
nil
cons
nil
cons
cons
146
ref
subst
nil
262
ref
8695
remove
nil
cons
cons
nil
cons
nil
cons
cons
663
ref
subst
70
ref
nil
139
ref
8694
remove
nil
cons
cons
nil
cons
nil
cons
cons
146
ref
subst
nil
262
ref
8693
remove
nil
cons
cons
nil
cons
nil
cons
cons
663
ref
subst
552
ref
nil
139
ref
8692
remove
nil
cons
cons
nil
cons
nil
cons
cons
146
ref
subst
226
ref
5860
ref
4924
ref
appThm
appThm
2781
remove
refl
appThm
sym
611
ref
4944
ref
subst
eqMp
eqMp
absThm
eqMp
eqMp
absThm
eqMp
eqMp
absThm
eqMp
eqMp
absThm
eqMp
eqMp
absThm
eqMp
eqMp
absThm
eqMp
eqMp
absThm
eqMp
nil
99
ref
8705
remove
appTerm
thm
nil
208
ref
29
ref
99
ref
26
ref
99
ref
542
ref
65
ref
66
ref
68
ref
69
ref
68
ref
70
ref
68
ref
552
ref
71
ref
5863
ref
559
ref
appTerm
appTerm
2793
ref
appTerm
8706
def
absTerm
8707
def
appTerm
8708
def
absTerm
8709
def
appTerm
8710
def
absTerm
8711
def
appTerm
8712
def
absTerm
8713
def
appTerm
8714
def
absTerm
8715
def
appTerm
8716
def
absTerm
8717
def
appTerm
8718
def
absTerm
8719
def
nil
cons
cons
nil
cons
nil
cons
cons
643
ref
subst
29
ref
nil
139
ref
8718
remove
nil
cons
cons
nil
cons
nil
cons
cons
146
ref
subst
nil
208
ref
8717
remove
nil
cons
cons
nil
cons
nil
cons
cons
643
ref
subst
26
ref
nil
139
ref
8716
remove
nil
cons
cons
nil
cons
nil
cons
cons
146
ref
subst
nil
208
ref
8715
remove
nil
cons
cons
nil
cons
nil
cons
cons
643
ref
subst
542
ref
nil
139
ref
8714
remove
nil
cons
cons
nil
cons
nil
cons
cons
146
ref
subst
nil
257
ref
8713
remove
nil
cons
cons
nil
cons
nil
cons
cons
662
ref
subst
66
ref
nil
139
ref
8712
remove
nil
cons
cons
nil
cons
nil
cons
cons
146
ref
subst
nil
262
ref
8711
remove
nil
cons
cons
nil
cons
nil
cons
cons
663
ref
subst
69
ref
nil
139
ref
8710
remove
nil
cons
cons
nil
cons
nil
cons
cons
146
ref
subst
nil
262
ref
8709
remove
nil
cons
cons
nil
cons
nil
cons
cons
663
ref
subst
70
ref
nil
139
ref
8708
remove
nil
cons
cons
nil
cons
nil
cons
cons
146
ref
subst
nil
262
ref
8707
remove
nil
cons
cons
nil
cons
nil
cons
cons
663
ref
subst
552
ref
nil
139
ref
8706
remove
nil
cons
cons
nil
cons
nil
cons
cons
146
ref
subst
226
ref
5880
ref
4924
ref
appThm
appThm
2793
remove
refl
appThm
sym
620
ref
4944
ref
subst
eqMp
eqMp
absThm
eqMp
eqMp
absThm
eqMp
eqMp
absThm
eqMp
eqMp
absThm
eqMp
eqMp
absThm
eqMp
eqMp
absThm
eqMp
eqMp
absThm
eqMp
nil
99
ref
8719
remove
appTerm
thm
nil
208
ref
29
ref
99
ref
26
ref
65
ref
66
ref
68
ref
69
ref
68
ref
70
ref
65
ref
"xt"
44
ref
var
8720
def
65
ref
"yt"
44
ref
var
8721
def
71
ref
78
remove
553
remove
2862
ref
2869
remove
8720
ref
varTerm
8722
def
appTerm
appTerm
2865
remove
8721
ref
varTerm
8723
def
appTerm
8724
def
appTerm
8725
def
appTerm
8726
def
appTerm
8727
def
appTerm
36
ref
8240
remove
8722
ref
appTerm
8728
def
appTerm
2913
remove
81
ref
appTerm
8723
ref
appTerm
8729
def
appTerm
8730
def
appTerm
8731
def
absTerm
8732
def
appTerm
8733
def
absTerm
8734
def
appTerm
8735
def
absTerm
8736
def
appTerm
8737
def
absTerm
8738
def
appTerm
8739
def
absTerm
8740
def
appTerm
8741
def
absTerm
8742
def
appTerm
8743
def
absTerm
8744
def
nil
cons
cons
nil
cons
nil
cons
cons
643
ref
subst
29
ref
nil
139
ref
8743
remove
nil
cons
cons
nil
cons
nil
cons
cons
146
ref
subst
nil
208
ref
8742
remove
nil
cons
cons
nil
cons
nil
cons
cons
643
ref
subst
26
ref
nil
139
ref
8741
remove
nil
cons
cons
nil
cons
nil
cons
cons
146
ref
subst
nil
257
ref
8740
remove
nil
cons
cons
nil
cons
nil
cons
cons
662
ref
subst
66
ref
nil
139
ref
8739
remove
nil
cons
cons
nil
cons
nil
cons
cons
146
ref
subst
nil
262
ref
8738
remove
nil
cons
cons
nil
cons
nil
cons
cons
663
ref
subst
69
ref
nil
139
ref
8737
remove
nil
cons
cons
nil
cons
nil
cons
cons
146
ref
subst
nil
262
ref
8736
remove
nil
cons
cons
nil
cons
nil
cons
cons
663
ref
subst
70
ref
nil
139
ref
8735
remove
nil
cons
cons
nil
cons
nil
cons
cons
146
ref
subst
nil
257
ref
8734
remove
nil
cons
cons
nil
cons
nil
cons
cons
662
ref
subst
8720
ref
nil
139
ref
8733
remove
nil
cons
cons
nil
cons
nil
cons
cons
146
ref
subst
nil
257
ref
8732
remove
nil
cons
cons
nil
cons
nil
cons
cons
662
ref
subst
8721
ref
nil
139
ref
8731
remove
nil
cons
cons
nil
cons
nil
cons
cons
146
ref
subst
nil
110
ref
8727
remove
nil
cons
8745
def
cons
111
ref
8730
ref
nil
cons
8746
def
cons
nil
cons
8747
def
cons
nil
cons
cons
8748
def
126
ref
subst
8748
remove
194
ref
subst
nil
668
remove
153
ref
8726
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
8749
def
167
ref
subst
8749
remove
334
ref
subst
nil
8643
remove
153
ref
8725
ref
nil
cons
cons
nil
cons
cons
nil
cons
cons
8750
def
167
ref
subst
8750
remove
334
ref
subst
8721
ref
71
ref
49
ref
241
ref
242
ref
76
ref
appTerm
8751
def
appTerm
8752
def
appTerm
8753
def
49
ref
1680
ref
242
ref
81
ref
appTerm
8754
def
appTerm
8755
def
appTerm
8756
def
8725
ref
appTerm
appTerm
appTerm
2862
ref
2864
ref
8751
ref
appTerm
8722
ref
appTerm
appTerm
8757
def
2864
ref
8754
ref
appTerm
8723
ref
appTerm
appTerm
appTerm
8758
def
absTerm
8759
def
8723
ref
appTerm
8760
def
betaConv
8720
ref
65
ref
8759
ref
appTerm
8761
def
absTerm
8762
def
8722
ref
appTerm
8763
def
betaConv
3513
ref
65
ref
8720
ref
65
ref
8721
ref
71
ref
8753
ref
49
ref
1680
remove
3521
ref
appTerm
appTerm
8725
ref
appTerm
8764
def
appTerm
appTerm
8757
remove
2864
ref
3521
ref
appTerm
8723
ref
appTerm
8765
def
appTerm
appTerm
absTerm
appTerm
absTerm
appTerm
absTerm
8766
def
8754
ref
appTerm
8767
def
betaConv
3515
ref
99
ref
3513
ref
65
ref
8720
ref
65
ref
8721
ref
71
ref
49
ref
241
remove
3518
ref
appTerm
appTerm
8764
remove
appTerm
appTerm
2862
remove
2864
remove
3518
ref
appTerm
8722
ref
appTerm
appTerm
8765
remove
appTerm
8768
def
appTerm
absTerm
appTerm
absTerm
appTerm
absTerm
appTerm
absTerm
8769
def
8751
ref
appTerm
8770
def
betaConv
48
ref
99
ref
3515
ref
99
ref
3513
ref
65
ref
8720
ref
65
ref
8721
ref
71
ref
49
ref
702
ref
3518
ref
appTerm
appTerm
49
ref
1679
remove
57
ref
appTerm
8771
def
3521
ref
appTerm
appTerm
8725
ref
appTerm
appTerm
appTerm
8768
ref
appTerm
absTerm
appTerm
absTerm
appTerm
absTerm
appTerm
absTerm
appTerm
absTerm
8772
def
240
ref
appTerm
8773
def
betaConv
271
ref
65
ref
48
ref
99
ref
3515
ref
99
ref
3513
ref
65
ref
8720
remove
65
ref
8721
remove
71
ref
3520
ref
5104
ref
8725
ref
appTerm
appTerm
appTerm
8768
remove
appTerm
absTerm
appTerm
absTerm
appTerm
absTerm
appTerm
absTerm
appTerm
absTerm
appTerm
absTerm
8774
def
74
ref
appTerm
8775
def
betaConv
26
ref
65
ref
8774
ref
appTerm
8776
def
absTerm
8777
def
41
ref
appTerm
8778
def
betaConv
29
ref
99
ref
8777
ref
appTerm
8779
def
absTerm
8780
def
39
ref
appTerm
8781
def
betaConv
nil
99
ref
8780
ref
appTerm
8782
def
axiom
nil
110
ref
8782
remove
nil
cons
cons
111
ref
8781
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
175
ref
subst
proveHyp
207
ref
208
ref
8780
remove
nil
cons
cons
210
ref
cons
nil
cons
cons
205
ref
subst
eqMp
eqMp
nil
110
ref
8779
remove
nil
cons
cons
111
ref
8778
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
175
ref
subst
proveHyp
207
ref
208
ref
8777
remove
nil
cons
cons
213
ref
cons
nil
cons
cons
205
ref
subst
eqMp
eqMp
nil
110
ref
8776
remove
nil
cons
cons
111
ref
8775
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
175
ref
subst
proveHyp
256
ref
257
ref
8774
remove
nil
cons
cons
260
ref
cons
nil
cons
cons
205
ref
subst
eqMp
eqMp
nil
110
ref
65
ref
8772
ref
appTerm
nil
cons
cons
111
ref
8773
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
175
ref
subst
proveHyp
256
ref
257
ref
8772
remove
nil
cons
cons
704
ref
cons
nil
cons
cons
205
ref
subst
eqMp
eqMp
nil
110
ref
99
ref
8769
ref
appTerm
nil
cons
cons
111
ref
8770
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
175
ref
subst
proveHyp
207
ref
208
ref
8769
remove
nil
cons
cons
29
ref
8751
ref
nil
cons
8783
def
cons
nil
cons
cons
nil
cons
cons
205
ref
subst
eqMp
eqMp
nil
110
ref
99
ref
8766
ref
appTerm
nil
cons
cons
111
ref
8767
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
175
ref
subst
proveHyp
207
ref
208
ref
8766
remove
nil
cons
cons
29
ref
8754
ref
nil
cons
8784
def
cons
nil
cons
cons
nil
cons
cons
205
ref
subst
eqMp
eqMp
nil
110
ref
65
ref
8762
ref
appTerm
nil
cons
cons
111
ref
8763
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
175
ref
subst
proveHyp
256
ref
257
ref
8762
remove
nil
cons
cons
258
ref
8722
remove
nil
cons
8785
def
cons
nil
cons
cons
nil
cons
cons
205
ref
subst
eqMp
eqMp
nil
110
ref
8761
remove
nil
cons
cons
111
ref
8760
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
175
ref
subst
proveHyp
256
ref
257
ref
8759
remove
nil
cons
cons
258
ref
8723
remove
nil
cons
8786
def
cons
nil
cons
cons
nil
cons
cons
205
ref
subst
eqMp
eqMp
nil
110
ref
8758
remove
nil
cons
cons
8747
remove
cons
nil
cons
cons
175
ref
subst
proveHyp
226
ref
226
ref
216
ref
231
ref
2005
ref
subst
833
remove
trans
appThm
216
ref
3841
ref
2005
remove
subst
5531
remove
trans
appThm
2907
ref
8725
remove
assume
appThm
8724
ref
refl
appThm
nil
2887
remove
8724
remove
nil
cons
cons
nil
cons
nil
cons
cons
2893
remove
subst
trans
appThm
528
ref
trans
appThm
528
ref
trans
appThm
2907
remove
nil
2856
ref
8785
remove
cons
230
remove
cons
nil
cons
cons
7602
ref
subst
appThm
nil
2856
remove
8786
remove
cons
371
remove
cons
nil
cons
cons
7602
remove
subst
appThm
nil
2930
remove
4559
ref
cons
2933
remove
8729
remove
nil
cons
cons
2937
remove
4559
remove
cons
2939
remove
8728
remove
nil
cons
cons
nil
cons
cons
cons
cons
nil
cons
cons
2972
remove
subst
49
ref
8730
ref
appTerm
refl
4560
remove
appThm
nil
139
ref
8746
ref
cons
nil
cons
nil
cons
cons
8787
def
397
remove
subst
trans
trans
trans
appThm
8787
ref
840
ref
subst
trans
appThm
8730
remove
refl
appThm
8787
remove
1295
remove
subst
trans
sym
145
ref
eqMp
eqMp
proveHyp
proveHyp
proveHyp
proveHyp
eqMp
nil
151
ref
8745
remove
cons
153
ref
8746
remove
cons
nil
cons
cons
nil
cons
cons
167
ref
subst
deductAntisym
eqMp
eqMp
absThm
eqMp
eqMp
absThm
eqMp
eqMp
absThm
eqMp
eqMp
absThm
eqMp
eqMp
absThm
eqMp
eqMp
absThm
eqMp
eqMp
absThm
eqMp
nil
99
ref
8744
remove
appTerm
thm
nil
592
ref
539
ref
68
ref
2291
ref
99
ref
2313
ref
68
ref
2343
ref
99
ref
2360
ref
68
ref
2445
ref
99
ref
2423
ref
36
ref
2541
remove
appTerm
4843
remove
appTerm
8788
def
absTerm
8789
def
appTerm
8790
def
absTerm
8791
def
appTerm
8792
def
absTerm
8793
def
appTerm
8794
def
absTerm
8795
def
appTerm
8796
def
absTerm
8797
def
appTerm
8798
def
absTerm
8799
def
appTerm
8800
def
absTerm
8801
def
nil
cons
cons
nil
cons
nil
cons
cons
2815
ref
subst
539
ref
nil
139
ref
8800
remove
nil
cons
cons
nil
cons
nil
cons
cons
146
ref
subst
nil
262
ref
8799
remove
nil
cons
cons
nil
cons
nil
cons
cons
663
ref
subst
2291
ref
nil
139
ref
8798
remove
nil
cons
cons
nil
cons
nil
cons
cons
146
ref
subst
nil
208
ref
8797
remove
nil
cons
cons
nil
cons
nil
cons
cons
643
ref
subst
2313
ref
nil
139
ref
8796
remove
nil
cons
cons
nil
cons
nil
cons
cons
146
ref
subst
nil
262
ref
8795
remove
nil
cons
cons
nil
cons
nil
cons
cons
663
ref
subst
2343
ref
nil
139
ref
8794
remove
nil
cons
cons
nil
cons
nil
cons
cons
146
ref
subst
nil
208
ref
8793
remove
nil
cons
cons
nil
cons
nil
cons
cons
643
ref
subst
2360
ref
nil
139
ref
8792
remove
nil
cons
cons
nil
cons
nil
cons
cons
146
ref
subst
nil
262
ref
8791
remove
nil
cons
cons
nil
cons
nil
cons
cons
663
ref
subst
2445
ref
nil
139
ref
8790
remove
nil
cons
cons
nil
cons
nil
cons
cons
146
ref
subst
nil
208
ref
8789
remove
nil
cons
cons
nil
cons
nil
cons
cons
643
ref
subst
2423
ref
nil
139
ref
8788
remove
nil
cons
cons
nil
cons
nil
cons
cons
146
ref
subst
5337
ref
eqMp
absThm
eqMp
eqMp
absThm
eqMp
eqMp
absThm
eqMp
eqMp
absThm
eqMp
eqMp
absThm
eqMp
eqMp
absThm
eqMp
eqMp
absThm
eqMp
nil
588
ref
8801
remove
appTerm
thm
nil
262
ref
1943
ref
68
ref
2291
ref
99
ref
2313
ref
68
ref
2343
ref
99
ref
2360
ref
68
ref
2445
ref
99
ref
2423
ref
36
ref
1945
ref
2322
ref
appTerm
2369
ref
appTerm
2457
ref
appTerm
appTerm
7767
remove
1945
ref
2314
ref
appTerm
2361
ref
appTerm
2424
ref
appTerm
appTerm
appTerm
8802
def
absTerm
8803
def
appTerm
8804
def
absTerm
8805
def
appTerm
8806
def
absTerm
8807
def
appTerm
8808
def
absTerm
8809
def
appTerm
8810
def
absTerm
8811
def
appTerm
8812
def
absTerm
8813
def
appTerm
8814
def
absTerm
8815
def
nil
cons
cons
nil
cons
nil
cons
cons
663
ref
subst
1943
ref
nil
139
ref
8814
remove
nil
cons
cons
nil
cons
nil
cons
cons
146
ref
subst
nil
262
ref
8813
remove
nil
cons
cons
nil
cons
nil
cons
cons
663
ref
subst
2291
ref
nil
139
ref
8812
remove
nil
cons
cons
nil
cons
nil
cons
cons
146
ref
subst
nil
208
ref
8811
remove
nil
cons
cons
nil
cons
nil
cons
cons
643
ref
subst
2313
ref
nil
139
ref
8810
remove
nil
cons
cons
nil
cons
nil
cons
cons
146
ref
subst
nil
262
ref
8809
remove
nil
cons
cons
nil
cons
nil
cons
cons
663
ref
subst
2343
ref
nil
139
ref
8808
remove
nil
cons
cons
nil
cons
nil
cons
cons
146
ref
subst
nil
208
ref
8807
remove
nil
cons
cons
nil
cons
nil
cons
cons
643
ref
subst
2360
ref
nil
139
ref
8806
remove
nil
cons
cons
nil
cons
nil
cons
cons
146
ref
subst
nil
262
ref
8805
remove
nil
cons
cons
nil
cons
nil
cons
cons
663
ref
subst
2445
ref
nil
139
ref
8804
remove
nil
cons
cons
nil
cons
nil
cons
cons
146
ref
subst
nil
208
ref
8803
remove
nil
cons
cons
nil
cons
nil
cons
cons
643
ref
subst
2423
ref
nil
139
ref
8802
remove
nil
cons
cons
nil
cons
nil
cons
cons
146
ref
subst
155
ref
1953
ref
7525
remove
appThm
3035
ref
appThm
7907
remove
appThm
appThm
7905
remove
1953
ref
7526
remove
appThm
3034
ref
appThm
7906
remove
appThm
appThm
appThm
sym
nil
1955
remove
1956
remove
cons
nil
cons
cons
8816
def
5337
ref
subst
eqMp
eqMp
absThm
eqMp
eqMp
absThm
eqMp
eqMp
absThm
eqMp
eqMp
absThm
eqMp
eqMp
absThm
eqMp
eqMp
absThm
eqMp
eqMp
absThm
eqMp
nil
68
ref
8815
remove
appTerm
thm
nil
208
ref
"w1"
2
ref
var
8817
def
99
ref
"w2"
2
ref
var
8818
def
99
ref
1444
ref
99
ref
1442
ref
99
ref
1441
ref
99
ref
1440
ref
99
ref
2548
ref
99
ref
2543
ref
71
ref
49
ref
860
ref
8817
ref
varTerm
8819
def
appTerm
1449
ref
appTerm
1446
ref
appTerm
2556
ref
appTerm
appTerm
860
ref
8818
ref
varTerm
8820
def
appTerm
1457
ref
appTerm
1454
ref
appTerm
2559
ref
appTerm
appTerm
appTerm
860
ref
1078
ref
8819
ref
appTerm
8820
ref
appTerm
8821
def
appTerm
1466
ref
appTerm
1463
ref
appTerm
2563
ref
appTerm
appTerm
8822
def
absTerm
8823
def
appTerm
8824
def
absTerm
8825
def
appTerm
8826
def
absTerm
8827
def
appTerm
8828
def
absTerm
8829
def
appTerm
8830
def
absTerm
8831
def
appTerm
8832
def
absTerm
8833
def
appTerm
8834
def
absTerm
8835
def
appTerm
8836
def
absTerm
8837
def
nil
cons
cons
nil
cons
nil
cons
cons
643
ref
subst
8817
ref
nil
139
ref
8836
remove
nil
cons
cons
nil
cons
nil
cons
cons
146
ref
subst
nil
208
ref
8835
remove
nil
cons
cons
nil
cons
nil
cons
cons
643
ref
subst
8818
ref
nil
139
ref
8834
remove
nil
cons
cons
nil
cons
nil
cons
cons
146
ref
subst
nil
208
ref
8833
remove
nil
cons
cons
nil
cons
nil
cons
cons
643
ref
subst
1444
ref
nil
139
ref
8832
remove
nil
cons
cons
nil
cons
nil
cons
cons
146
ref
subst
nil
208
ref
8831
remove
nil
cons
cons
nil
cons
nil
cons
cons
643
ref
subst
1442
ref
nil
139
ref
8830
remove
nil
cons
cons
nil
cons
nil
cons
cons
146
ref
subst
nil
208
ref
8829
remove
nil
cons
cons
nil
cons
nil
cons
cons
643
ref
subst
1441
ref
nil
139
ref
8828
remove
nil
cons
cons
nil
cons
nil
cons
cons
146
ref
subst
nil
208
ref
8827
remove
nil
cons
cons
nil
cons
nil
cons
cons
643
ref
subst
1440
ref
nil
139
ref
8826
remove
nil
cons
cons
nil
cons
nil
cons
cons
146
ref
subst
nil
208
ref
8825
remove
nil
cons
cons
nil
cons
nil
cons
cons
643
ref
subst
2548
ref
nil
139
ref
8824
remove
nil
cons
cons
nil
cons
nil
cons
cons
146
ref
subst
nil
208
ref
8823
remove
nil
cons
cons
nil
cons
nil
cons
cons
643
ref
subst
2543
ref
nil
139
ref
8822
remove
nil
cons
cons
nil
cons
nil
cons
cons
146
ref
subst
226
ref
216
ref
nil
2558
remove
1448
remove
1451
remove
857
ref
8819
ref
nil
cons
8838
def
cons
nil
cons
cons
cons
cons
nil
cons
cons
8839
def
887
ref
subst
appThm
nil
2561
remove
1456
remove
1459
remove
857
ref
8820
ref
nil
cons
8840
def
cons
nil
cons
cons
cons
cons
nil
cons
cons
8841
def
887
ref
subst
appThm
appThm
nil
2564
remove
1464
remove
1467
remove
857
ref
8821
ref
nil
cons
cons
nil
cons
cons
cons
cons
nil
cons
cons
8842
def
887
ref
subst
appThm
sym
nil
1340
ref
725
ref
863
ref
49
ref
532
ref
8821
ref
appTerm
8843
def
1466
ref
appTerm
8844
def
866
ref
appTerm
appTerm
8845
def
869
ref
1463
ref
appTerm
2563
ref
appTerm
appTerm
absTerm
8846
def
appTerm
8847
def
nil
cons
8848
def
cons
111
ref
725
ref
863
ref
49
ref
532
ref
8820
ref
appTerm
8849
def
1457
ref
appTerm
8850
def
866
ref
appTerm
appTerm
8851
def
869
ref
1454
ref
appTerm
2559
ref
appTerm
appTerm
absTerm
8852
def
appTerm
8853
def
nil
cons
cons
110
ref
725
ref
863
ref
49
ref
532
ref
8819
ref
appTerm
8854
def
1449
ref
appTerm
8855
def
866
ref
appTerm
appTerm
8856
def
869
ref
1446
ref
appTerm
2556
ref
appTerm
appTerm
absTerm
8857
def
appTerm
8858
def
nil
cons
cons
nil
cons
cons
cons
nil
cons
cons
2249
ref
subst
sym
nil
208
ref
"wx1"
2
ref
var
8859
def
71
ref
8857
ref
8859
ref
varTerm
8860
def
appTerm
8861
def
appTerm
71
ref
8853
remove
appTerm
8847
ref
appTerm
8862
def
appTerm
8863
def
absTerm
nil
cons
cons
nil
cons
nil
cons
cons
643
ref
subst
8859
ref
nil
139
ref
8863
remove
nil
cons
cons
nil
cons
nil
cons
cons
146
ref
subst
nil
110
ref
8861
ref
nil
cons
8864
def
cons
111
ref
8862
ref
nil
cons
8865
def
cons
nil
cons
8866
def
cons
nil
cons
cons
8867
def
126
ref
subst
8867
remove
194
ref
subst
8861
ref
betaConv
8861
remove
assume
eqMp
nil
110
ref
49
ref
8855
remove
8860
ref
appTerm
8868
def
appTerm
8869
def
532
ref
8860
ref
appTerm
1446
ref
appTerm
2556
ref
appTerm
8870
def
appTerm
nil
cons
8871
def
cons
8866
ref
cons
nil
cons
cons
8872
def
175
ref
subst
proveHyp
8872
ref
126
ref
subst
8872
remove
194
ref
subst
nil
151
ref
8868
ref
nil
cons
8873
def
cons
8874
def
153
ref
8870
ref
nil
cons
8875
def
cons
nil
cons
cons
nil
cons
cons
8876
def
167
ref
subst
8876
remove
334
ref
subst
nil
208
ref
"wx2"
2
ref
var
8877
def
71
ref
8852
ref
8877
ref
varTerm
8878
def
appTerm
8879
def
appTerm
8847
ref
appTerm
8880
def
absTerm
nil
cons
cons
nil
cons
nil
cons
cons
643
ref
subst
8877
ref
nil
139
ref
8880
remove
nil
cons
cons
nil
cons
nil
cons
cons
146
ref
subst
nil
110
ref
8879
ref
nil
cons
8881
def
cons
111
ref
8848
ref
cons
nil
cons
8882
def
cons
nil
cons
cons
8883
def
126
ref
subst
8883
remove
194
ref
subst
8879
ref
betaConv
8879
remove
assume
eqMp
nil
110
ref
49
ref
8850
remove
8878
ref
appTerm
8884
def
appTerm
8885
def
532
ref
8878
ref
appTerm
1454
ref
appTerm
2559
ref
appTerm
8886
def
appTerm
nil
cons
8887
def
cons
8882
remove
cons
nil
cons
cons
8888
def
175
ref
subst
proveHyp
8888
ref
126
ref
subst
8888
remove
194
ref
subst
nil
151
ref
8884
ref
nil
cons
8889
def
cons
8890
def
153
ref
8886
ref
nil
cons
8891
def
cons
nil
cons
cons
nil
cons
cons
8892
def
167
ref
subst
8892
remove
334
ref
subst
8846
ref
1078
ref
8860
ref
appTerm
8878
ref
appTerm
8893
def
appTerm
betaConv
sym
216
ref
nil
139
ref
8873
remove
cons
nil
cons
nil
cons
cons
146
ref
subst
8868
remove
assume
eqMp
appThm
nil
139
ref
8889
remove
cons
nil
cons
nil
cons
cons
146
ref
subst
8884
ref
assume
eqMp
appThm
528
ref
trans
sym
145
ref
eqMp
nil
110
ref
8869
ref
8884
remove
appTerm
nil
cons
cons
111
ref
8844
remove
8893
ref
appTerm
8894
def
nil
cons
8895
def
cons
nil
cons
cons
nil
cons
cons
175
ref
subst
proveHyp
nil
2543
ref
8878
ref
nil
cons
8896
def
cons
2548
ref
8860
ref
nil
cons
8897
def
cons
1440
ref
1458
remove
cons
1441
ref
1450
remove
cons
1442
ref
8840
remove
cons
1444
ref
8838
remove
cons
nil
cons
cons
8898
def
cons
cons
cons
cons
nil
cons
cons
8899
def
8213
ref
subst
eqMp
8900
def
nil
110
ref
8895
remove
cons
8901
def
111
ref
532
ref
8893
ref
appTerm
1463
ref
appTerm
2563
ref
appTerm
nil
cons
cons
nil
cons
8902
def
cons
nil
cons
cons
194
ref
subst
proveHyp
216
ref
nil
139
ref
8875
remove
cons
nil
cons
nil
cons
cons
146
ref
subst
8870
ref
assume
eqMp
appThm
nil
139
ref
8891
remove
cons
nil
cons
nil
cons
cons
146
ref
subst
8886
ref
assume
eqMp
appThm
528
ref
trans
sym
145
ref
eqMp
nil
110
ref
49
ref
8870
remove
appTerm
8886
remove
appTerm
nil
cons
cons
8902
remove
cons
nil
cons
cons
175
ref
subst
proveHyp
nil
1442
ref
8896
ref
cons
1444
ref
8897
ref
cons
nil
cons
cons
nil
cons
cons
8903
def
8213
ref
subst
eqMp
eqMp
eqMp
207
ref
208
ref
8846
remove
nil
cons
cons
29
ref
8893
ref
nil
cons
cons
nil
cons
8904
def
cons
nil
cons
cons
724
ref
subst
proveHyp
proveHyp
proveHyp
eqMp
nil
151
ref
8887
remove
cons
153
ref
8848
remove
cons
nil
cons
8905
def
cons
nil
cons
cons
167
ref
subst
deductAntisym
eqMp
eqMp
eqMp
nil
151
ref
8881
remove
cons
8905
ref
cons
nil
cons
cons
167
ref
subst
deductAntisym
eqMp
eqMp
absThm
eqMp
nil
110
ref
99
ref
29
ref
71
ref
8852
ref
39
ref
appTerm
appTerm
8847
remove
appTerm
absTerm
appTerm
nil
cons
cons
8866
remove
cons
nil
cons
cons
175
ref
subst
proveHyp
207
ref
208
ref
8852
remove
nil
cons
cons
8905
remove
cons
nil
cons
cons
811
ref
subst
eqMp
proveHyp
proveHyp
eqMp
nil
151
ref
8871
remove
cons
153
ref
8865
remove
cons
nil
cons
8906
def
cons
nil
cons
cons
167
ref
subst
deductAntisym
eqMp
eqMp
eqMp
nil
151
ref
8864
remove
cons
8906
ref
cons
nil
cons
cons
167
ref
subst
deductAntisym
eqMp
eqMp
absThm
eqMp
nil
110
ref
99
ref
29
ref
71
ref
8857
ref
39
ref
appTerm
appTerm
8862
ref
appTerm
absTerm
appTerm
nil
cons
cons
111
ref
71
ref
8858
remove
appTerm
8862
remove
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
175
ref
subst
proveHyp
207
ref
208
ref
8857
remove
nil
cons
cons
8906
remove
cons
nil
cons
cons
811
ref
subst
eqMp
eqMp
eqMp
8907
def
eqMp
absThm
eqMp
eqMp
absThm
eqMp
eqMp
absThm
eqMp
eqMp
absThm
eqMp
eqMp
absThm
eqMp
eqMp
absThm
eqMp
eqMp
absThm
eqMp
eqMp
absThm
eqMp
nil
99
ref
8837
remove
appTerm
thm
nil
208
ref
8817
ref
99
ref
8818
ref
99
ref
1444
ref
99
ref
1442
ref
99
ref
1441
ref
99
ref
1440
ref
99
ref
2548
ref
99
ref
2543
ref
71
ref
49
ref
892
ref
8819
ref
appTerm
1449
ref
appTerm
1446
ref
appTerm
2556
ref
appTerm
appTerm
892
ref
8820
ref
appTerm
1457
ref
appTerm
1454
ref
appTerm
2559
ref
appTerm
appTerm
appTerm
892
ref
8821
ref
appTerm
1466
ref
appTerm
1463
ref
appTerm
2563
ref
appTerm
appTerm
8908
def
absTerm
8909
def
appTerm
8910
def
absTerm
8911
def
appTerm
8912
def
absTerm
8913
def
appTerm
8914
def
absTerm
8915
def
appTerm
8916
def
absTerm
8917
def
appTerm
8918
def
absTerm
8919
def
appTerm
8920
def
absTerm
8921
def
appTerm
8922
def
absTerm
8923
def
nil
cons
cons
nil
cons
nil
cons
cons
643
ref
subst
8817
ref
nil
139
ref
8922
remove
nil
cons
cons
nil
cons
nil
cons
cons
146
ref
subst
nil
208
ref
8921
remove
nil
cons
cons
nil
cons
nil
cons
cons
643
ref
subst
8818
ref
nil
139
ref
8920
remove
nil
cons
cons
nil
cons
nil
cons
cons
146
ref
subst
nil
208
ref
8919
remove
nil
cons
cons
nil
cons
nil
cons
cons
643
ref
subst
1444
ref
nil
139
ref
8918
remove
nil
cons
cons
nil
cons
nil
cons
cons
146
ref
subst
nil
208
ref
8917
remove
nil
cons
cons
nil
cons
nil
cons
cons
643
ref
subst
1442
ref
nil
139
ref
8916
remove
nil
cons
cons
nil
cons
nil
cons
cons
146
ref
subst
nil
208
ref
8915
remove
nil
cons
cons
nil
cons
nil
cons
cons
643
ref
subst
1441
ref
nil
139
ref
8914
remove
nil
cons
cons
nil
cons
nil
cons
cons
146
ref
subst
nil
208
ref
8913
remove
nil
cons
cons
nil
cons
nil
cons
cons
643
ref
subst
1440
ref
nil
139
ref
8912
remove
nil
cons
cons
nil
cons
nil
cons
cons
146
ref
subst
nil
208
ref
8911
remove
nil
cons
cons
nil
cons
nil
cons
cons
643
ref
subst
2548
ref
nil
139
ref
8910
remove
nil
cons
cons
nil
cons
nil
cons
cons
146
ref
subst
nil
208
ref
8909
remove
nil
cons
cons
nil
cons
nil
cons
cons
643
ref
subst
2543
ref
nil
139
ref
8908
remove
nil
cons
cons
nil
cons
nil
cons
cons
146
ref
subst
226
ref
216
ref
8839
ref
931
ref
subst
appThm
8841
ref
931
ref
subst
appThm
appThm
8842
ref
931
ref
subst
appThm
sym
nil
1340
ref
725
ref
863
ref
725
ref
894
ref
725
ref
895
ref
8845
remove
49
ref
8843
remove
1463
ref
appTerm
8924
def
897
ref
appTerm
appTerm
8925
def
49
ref
8197
ref
902
ref
appTerm
appTerm
8926
def
908
ref
2563
ref
appTerm
appTerm
appTerm
appTerm
absTerm
appTerm
absTerm
appTerm
absTerm
8927
def
appTerm
8928
def
nil
cons
8929
def
cons
111
ref
725
ref
863
ref
725
ref
894
ref
725
ref
895
ref
8851
remove
49
ref
8849
remove
1454
ref
appTerm
8930
def
897
ref
appTerm
appTerm
8931
def
49
ref
8196
ref
902
ref
appTerm
appTerm
8932
def
908
ref
2559
ref
appTerm
appTerm
appTerm
appTerm
absTerm
appTerm
absTerm
appTerm
absTerm
8933
def
appTerm
8934
def
nil
cons
cons
110
ref
725
ref
863
ref
725
ref
894
ref
725
ref
895
ref
8856
remove
49
ref
8854
remove
1446
ref
appTerm
8935
def
897
ref
appTerm
appTerm
8936
def
49
ref
8195
ref
902
ref
appTerm
appTerm
8937
def
908
ref
2556
ref
appTerm
appTerm
appTerm
appTerm
absTerm
appTerm
absTerm
appTerm
absTerm
8938
def
appTerm
8939
def
nil
cons
cons
nil
cons
cons
cons
nil
cons
cons
2249
ref
subst
sym
nil
208
ref
8859
ref
71
ref
8938
ref
8860
ref
appTerm
8940
def
appTerm
71
ref
8934
remove
appTerm
8928
ref
appTerm
8941
def
appTerm
8942
def
absTerm
nil
cons
cons
nil
cons
nil
cons
cons
643
ref
subst
8859
ref
nil
139
ref
8942
remove
nil
cons
cons
nil
cons
nil
cons
cons
146
ref
subst
nil
110
ref
8940
ref
nil
cons
8943
def
cons
111
ref
8941
ref
nil
cons
8944
def
cons
nil
cons
8945
def
cons
nil
cons
cons
8946
def
126
ref
subst
8946
remove
194
ref
subst
8940
ref
betaConv
8940
remove
assume
eqMp
nil
110
ref
725
ref
894
ref
725
ref
895
ref
8869
ref
8936
remove
8937
ref
905
ref
8860
ref
appTerm
8947
def
897
ref
appTerm
902
ref
appTerm
2556
ref
appTerm
appTerm
appTerm
appTerm
absTerm
appTerm
absTerm
8948
def
appTerm
8949
def
nil
cons
cons
8945
ref
cons
nil
cons
cons
175
ref
subst
proveHyp
nil
208
ref
"wy1"
2
ref
var
8950
def
71
ref
8948
ref
8950
ref
varTerm
8951
def
appTerm
8952
def
appTerm
8941
ref
appTerm
8953
def
absTerm
nil
cons
cons
nil
cons
nil
cons
cons
643
ref
subst
8950
remove
nil
139
ref
8953
remove
nil
cons
cons
nil
cons
nil
cons
cons
146
ref
subst
nil
110
ref
8952
ref
nil
cons
8954
def
cons
8945
ref
cons
nil
cons
cons
8955
def
126
ref
subst
8955
remove
194
ref
subst
8952
ref
betaConv
8952
remove
assume
eqMp
nil
110
ref
725
ref
895
ref
8869
ref
49
ref
8935
remove
8951
ref
appTerm
8956
def
appTerm
8957
def
8937
remove
8947
remove
8951
ref
appTerm
8958
def
902
ref
appTerm
2556
ref
appTerm
appTerm
appTerm
appTerm
absTerm
8959
def
appTerm
8960
def
nil
cons
cons
8945
ref
cons
nil
cons
cons
175
ref
subst
proveHyp
nil
208
ref
"xy1"
2
ref
var
8961
def
71
ref
8959
ref
8961
ref
varTerm
8962
def
appTerm
8963
def
appTerm
8941
ref
appTerm
8964
def
absTerm
nil
cons
cons
nil
cons
nil
cons
cons
643
ref
subst
8961
remove
nil
139
ref
8964
remove
nil
cons
cons
nil
cons
nil
cons
cons
146
ref
subst
nil
110
ref
8963
ref
nil
cons
8965
def
cons
8945
ref
cons
nil
cons
cons
8966
def
126
ref
subst
8966
remove
194
ref
subst
8963
ref
betaConv
8963
remove
assume
eqMp
nil
110
ref
8869
remove
8957
ref
49
ref
8195
remove
8962
ref
appTerm
8967
def
appTerm
8968
def
8958
remove
8962
ref
appTerm
2556
ref
appTerm
8969
def
appTerm
8970
def
appTerm
8971
def
appTerm
nil
cons
8972
def
cons
8945
ref
cons
nil
cons
cons
8973
def
175
ref
subst
proveHyp
8973
ref
126
ref
subst
8973
remove
194
ref
subst
nil
8874
remove
153
ref
8971
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
8974
def
167
ref
subst
8974
remove
334
ref
subst
nil
151
ref
8956
ref
nil
cons
8975
def
cons
153
ref
8970
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
8976
def
167
ref
subst
8976
remove
334
ref
subst
nil
151
ref
8967
ref
nil
cons
8977
def
cons
153
ref
8969
ref
nil
cons
8978
def
cons
nil
cons
cons
nil
cons
cons
8979
def
167
ref
subst
8979
remove
334
ref
subst
nil
208
ref
8877
ref
71
ref
8933
ref
8878
ref
appTerm
8980
def
appTerm
8928
ref
appTerm
8981
def
absTerm
nil
cons
cons
nil
cons
nil
cons
cons
643
ref
subst
8877
ref
nil
139
ref
8981
remove
nil
cons
cons
nil
cons
nil
cons
cons
146
ref
subst
nil
110
ref
8980
ref
nil
cons
8982
def
cons
111
ref
8929
ref
cons
nil
cons
8983
def
cons
nil
cons
cons
8984
def
126
ref
subst
8984
remove
194
ref
subst
8980
ref
betaConv
8980
remove
assume
eqMp
nil
110
ref
725
ref
894
ref
725
ref
895
ref
8885
ref
8931
remove
8932
ref
905
ref
8878
ref
appTerm
8985
def
897
ref
appTerm
902
ref
appTerm
2559
ref
appTerm
appTerm
appTerm
appTerm
absTerm
appTerm
absTerm
8986
def
appTerm
8987
def
nil
cons
cons
8983
ref
cons
nil
cons
cons
175
ref
subst
proveHyp
nil
208
ref
"wy2"
2
ref
var
8988
def
71
ref
8986
ref
8988
ref
varTerm
8989
def
appTerm
8990
def
appTerm
8928
ref
appTerm
8991
def
absTerm
nil
cons
cons
nil
cons
nil
cons
cons
643
ref
subst
8988
remove
nil
139
ref
8991
remove
nil
cons
cons
nil
cons
nil
cons
cons
146
ref
subst
nil
110
ref
8990
ref
nil
cons
8992
def
cons
8983
ref
cons
nil
cons
cons
8993
def
126
ref
subst
8993
remove
194
ref
subst
8990
ref
betaConv
8990
remove
assume
eqMp
nil
110
ref
725
ref
895
ref
8885
ref
49
ref
8930
remove
8989
ref
appTerm
8994
def
appTerm
8995
def
8932
remove
8985
remove
8989
ref
appTerm
8996
def
902
ref
appTerm
2559
ref
appTerm
appTerm
appTerm
appTerm
absTerm
8997
def
appTerm
8998
def
nil
cons
cons
8983
ref
cons
nil
cons
cons
175
ref
subst
proveHyp
nil
208
ref
"xy2"
2
ref
var
8999
def
71
ref
8997
ref
8999
ref
varTerm
9000
def
appTerm
9001
def
appTerm
8928
ref
appTerm
9002
def
absTerm
nil
cons
cons
nil
cons
nil
cons
cons
643
ref
subst
8999
remove
nil
139
ref
9002
remove
nil
cons
cons
nil
cons
nil
cons
cons
146
ref
subst
nil
110
ref
9001
ref
nil
cons
9003
def
cons
8983
ref
cons
nil
cons
cons
9004
def
126
ref
subst
9004
remove
194
ref
subst
9001
ref
betaConv
9001
remove
assume
eqMp
nil
110
ref
8885
remove
8995
remove
49
ref
8196
remove
9000
ref
appTerm
9005
def
appTerm
8996
remove
9000
ref
appTerm
2559
ref
appTerm
9006
def
appTerm
9007
def
appTerm
9008
def
appTerm
nil
cons
9009
def
cons
8983
remove
cons
nil
cons
cons
9010
def
175
ref
subst
proveHyp
9010
ref
126
ref
subst
9010
remove
194
ref
subst
nil
8890
remove
153
ref
9008
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
9011
def
167
ref
subst
9011
remove
334
ref
subst
nil
151
ref
8994
ref
nil
cons
9012
def
cons
153
ref
9007
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
9013
def
167
ref
subst
9013
remove
334
ref
subst
nil
151
ref
9005
ref
nil
cons
9014
def
cons
153
ref
9006
ref
nil
cons
9015
def
cons
nil
cons
cons
nil
cons
cons
9016
def
167
ref
subst
9016
remove
334
ref
subst
8927
ref
8893
ref
appTerm
betaConv
sym
894
ref
725
ref
895
ref
49
ref
8894
remove
appTerm
9017
def
8925
remove
8926
ref
905
ref
8893
ref
appTerm
9018
def
897
ref
appTerm
902
ref
appTerm
2563
ref
appTerm
appTerm
appTerm
appTerm
absTerm
appTerm
absTerm
9019
def
1078
ref
8951
ref
appTerm
8989
ref
appTerm
9020
def
appTerm
betaConv
sym
895
ref
9017
remove
49
ref
8924
remove
9020
ref
appTerm
9021
def
appTerm
9022
def
8926
remove
9018
remove
9020
ref
appTerm
9023
def
902
ref
appTerm
2563
ref
appTerm
appTerm
appTerm
appTerm
absTerm
9024
def
1078
ref
8962
ref
appTerm
9000
ref
appTerm
9025
def
appTerm
betaConv
sym
8900
remove
nil
8901
remove
111
ref
9022
remove
49
ref
8197
remove
9025
ref
appTerm
9026
def
appTerm
9023
remove
9025
ref
appTerm
2563
ref
appTerm
9027
def
appTerm
9028
def
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
194
ref
subst
proveHyp
216
ref
nil
139
ref
8975
remove
cons
nil
cons
nil
cons
cons
146
ref
subst
8956
remove
assume
eqMp
appThm
nil
139
ref
9012
remove
cons
nil
cons
nil
cons
cons
146
ref
subst
8994
ref
assume
eqMp
appThm
528
ref
trans
sym
145
ref
eqMp
nil
110
ref
8957
remove
8994
remove
appTerm
nil
cons
cons
111
ref
9021
remove
nil
cons
9029
def
cons
nil
cons
cons
nil
cons
cons
175
ref
subst
proveHyp
nil
2543
ref
8989
remove
nil
cons
9030
def
cons
2548
ref
8951
remove
nil
cons
9031
def
cons
8898
remove
cons
cons
nil
cons
cons
8213
ref
subst
eqMp
nil
110
ref
9029
remove
cons
111
ref
9028
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
194
ref
subst
proveHyp
216
ref
nil
139
ref
8977
remove
cons
nil
cons
nil
cons
cons
146
ref
subst
8967
remove
assume
eqMp
appThm
nil
139
ref
9014
remove
cons
nil
cons
nil
cons
cons
146
ref
subst
9005
ref
assume
eqMp
appThm
528
ref
trans
sym
145
ref
eqMp
nil
110
ref
8968
remove
9005
remove
appTerm
nil
cons
cons
111
ref
9026
remove
nil
cons
9032
def
cons
nil
cons
cons
nil
cons
cons
175
ref
subst
proveHyp
nil
2543
ref
9000
remove
nil
cons
9033
def
cons
2548
ref
8962
remove
nil
cons
9034
def
cons
nil
cons
cons
nil
cons
cons
8213
remove
subst
eqMp
nil
110
ref
9032
remove
cons
111
ref
9027
remove
nil
cons
cons
nil
cons
9035
def
cons
nil
cons
cons
194
ref
subst
proveHyp
216
ref
nil
139
ref
8978
remove
cons
nil
cons
nil
cons
cons
146
ref
subst
8969
ref
assume
eqMp
appThm
nil
139
ref
9015
remove
cons
nil
cons
nil
cons
cons
146
ref
subst
9006
ref
assume
eqMp
appThm
528
ref
trans
sym
145
ref
eqMp
nil
110
ref
49
ref
8969
remove
appTerm
9006
remove
appTerm
nil
cons
cons
9035
remove
cons
nil
cons
cons
175
ref
subst
proveHyp
nil
1440
ref
9033
remove
cons
1441
ref
9034
remove
cons
1442
ref
9030
remove
cons
1444
ref
9031
remove
cons
8818
ref
8896
remove
cons
8817
ref
8897
remove
cons
nil
cons
cons
cons
cons
cons
cons
nil
cons
cons
226
ref
216
ref
8839
ref
964
ref
subst
appThm
8841
ref
964
ref
subst
appThm
appThm
8842
ref
964
ref
subst
appThm
sym
nil
1340
ref
725
ref
863
ref
49
ref
606
ref
8821
ref
appTerm
1466
ref
appTerm
9036
def
866
ref
appTerm
appTerm
947
ref
1463
ref
appTerm
2563
ref
appTerm
appTerm
absTerm
9037
def
appTerm
9038
def
nil
cons
9039
def
cons
111
ref
725
ref
863
ref
49
ref
606
ref
8820
ref
appTerm
1457
ref
appTerm
9040
def
866
ref
appTerm
appTerm
947
ref
1454
ref
appTerm
2559
ref
appTerm
appTerm
absTerm
9041
def
appTerm
9042
def
nil
cons
cons
110
ref
725
ref
863
ref
49
ref
606
ref
8819
ref
appTerm
1449
ref
appTerm
9043
def
866
ref
appTerm
appTerm
947
ref
1446
ref
appTerm
2556
ref
appTerm
appTerm
absTerm
9044
def
appTerm
9045
def
nil
cons
cons
nil
cons
cons
cons
nil
cons
cons
2249
ref
subst
sym
nil
208
ref
8859
ref
71
ref
9044
ref
8860
ref
appTerm
9046
def
appTerm
71
ref
9042
remove
appTerm
9038
ref
appTerm
9047
def
appTerm
9048
def
absTerm
nil
cons
cons
nil
cons
nil
cons
cons
643
ref
subst
8859
ref
nil
139
ref
9048
remove
nil
cons
cons
nil
cons
nil
cons
cons
146
ref
subst
nil
110
ref
9046
ref
nil
cons
9049
def
cons
111
ref
9047
ref
nil
cons
9050
def
cons
nil
cons
9051
def
cons
nil
cons
cons
9052
def
126
ref
subst
9052
remove
194
ref
subst
9046
ref
betaConv
9046
remove
assume
eqMp
nil
110
ref
49
ref
9043
remove
8860
ref
appTerm
9053
def
appTerm
9054
def
606
ref
8860
ref
appTerm
1446
ref
appTerm
2556
ref
appTerm
9055
def
appTerm
nil
cons
9056
def
cons
9051
ref
cons
nil
cons
cons
9057
def
175
ref
subst
proveHyp
9057
ref
126
ref
subst
9057
remove
194
ref
subst
nil
151
ref
9053
ref
nil
cons
9058
def
cons
153
ref
9055
ref
nil
cons
9059
def
cons
nil
cons
cons
nil
cons
cons
9060
def
167
ref
subst
9060
remove
334
ref
subst
nil
208
ref
8877
ref
71
ref
9041
ref
8878
ref
appTerm
9061
def
appTerm
9038
ref
appTerm
9062
def
absTerm
nil
cons
cons
nil
cons
nil
cons
cons
643
ref
subst
8877
ref
nil
139
ref
9062
remove
nil
cons
cons
nil
cons
nil
cons
cons
146
ref
subst
nil
110
ref
9061
ref
nil
cons
9063
def
cons
111
ref
9039
ref
cons
nil
cons
9064
def
cons
nil
cons
cons
9065
def
126
ref
subst
9065
remove
194
ref
subst
9061
ref
betaConv
9061
remove
assume
eqMp
nil
110
ref
49
ref
9040
remove
8878
ref
appTerm
9066
def
appTerm
606
ref
8878
ref
appTerm
1454
ref
appTerm
2559
ref
appTerm
9067
def
appTerm
nil
cons
9068
def
cons
9064
remove
cons
nil
cons
cons
9069
def
175
ref
subst
proveHyp
9069
ref
126
ref
subst
9069
remove
194
ref
subst
nil
151
ref
9066
ref
nil
cons
9070
def
cons
153
ref
9067
ref
nil
cons
9071
def
cons
nil
cons
cons
nil
cons
cons
9072
def
167
ref
subst
9072
remove
334
ref
subst
9037
ref
8893
ref
appTerm
betaConv
sym
216
ref
nil
139
ref
9058
remove
cons
nil
cons
nil
cons
cons
146
ref
subst
9053
remove
assume
eqMp
appThm
nil
139
ref
9070
remove
cons
nil
cons
nil
cons
cons
146
ref
subst
9066
ref
assume
eqMp
appThm
528
ref
trans
sym
145
ref
eqMp
nil
110
ref
9054
remove
9066
remove
appTerm
nil
cons
cons
111
ref
9036
remove
8893
ref
appTerm
nil
cons
9073
def
cons
nil
cons
cons
nil
cons
cons
175
ref
subst
proveHyp
8899
ref
8226
ref
subst
eqMp
nil
110
ref
9073
remove
cons
111
ref
606
ref
8893
ref
appTerm
1463
ref
appTerm
2563
ref
appTerm
nil
cons
cons
nil
cons
9074
def
cons
nil
cons
cons
194
ref
subst
proveHyp
216
ref
nil
139
ref
9059
remove
cons
nil
cons
nil
cons
cons
146
ref
subst
9055
ref
assume
eqMp
appThm
nil
139
ref
9071
remove
cons
nil
cons
nil
cons
cons
146
ref
subst
9067
ref
assume
eqMp
appThm
528
ref
trans
sym
145
ref
eqMp
nil
110
ref
49
ref
9055
remove
appTerm
9067
remove
appTerm
nil
cons
cons
9074
remove
cons
nil
cons
cons
175
ref
subst
proveHyp
8903
ref
8226
remove
subst
eqMp
eqMp
eqMp
207
ref
208
ref
9037
remove
nil
cons
cons
8904
ref
cons
nil
cons
cons
724
ref
subst
proveHyp
proveHyp
proveHyp
eqMp
nil
151
ref
9068
remove
cons
153
ref
9039
remove
cons
nil
cons
9075
def
cons
nil
cons
cons
167
ref
subst
deductAntisym
eqMp
eqMp
eqMp
nil
151
ref
9063
remove
cons
9075
ref
cons
nil
cons
cons
167
ref
subst
deductAntisym
eqMp
eqMp
absThm
eqMp
nil
110
ref
99
ref
29
ref
71
ref
9041
ref
39
ref
appTerm
appTerm
9038
remove
appTerm
absTerm
appTerm
nil
cons
cons
9051
remove
cons
nil
cons
cons
175
ref
subst
proveHyp
207
ref
208
ref
9041
remove
nil
cons
cons
9075
remove
cons
nil
cons
cons
811
ref
subst
eqMp
proveHyp
proveHyp
eqMp
nil
151
ref
9056
remove
cons
153
ref
9050
remove
cons
nil
cons
9076
def
cons
nil
cons
cons
167
ref
subst
deductAntisym
eqMp
eqMp
eqMp
nil
151
ref
9049
remove
cons
9076
ref
cons
nil
cons
cons
167
ref
subst
deductAntisym
eqMp
eqMp
absThm
eqMp
nil
110
ref
99
ref
29
ref
71
ref
9044
ref
39
ref
appTerm
appTerm
9047
ref
appTerm
absTerm
appTerm
nil
cons
cons
111
ref
71
ref
9045
remove
appTerm
9047
remove
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
175
ref
subst
proveHyp
207
ref
208
ref
9044
remove
nil
cons
cons
9076
remove
cons
nil
cons
cons
811
ref
subst
eqMp
eqMp
eqMp
9077
def
subst
eqMp
eqMp
eqMp
eqMp
eqMp
207
ref
208
ref
9024
remove
nil
cons
cons
29
ref
9025
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
724
ref
subst
proveHyp
eqMp
207
ref
208
ref
9019
remove
nil
cons
cons
29
ref
9020
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
724
ref
subst
proveHyp
eqMp
207
ref
208
ref
8927
remove
nil
cons
cons
8904
ref
cons
nil
cons
cons
724
ref
subst
proveHyp
proveHyp
proveHyp
proveHyp
proveHyp
proveHyp
proveHyp
eqMp
nil
151
ref
9009
remove
cons
153
ref
8929
remove
cons
nil
cons
9078
def
cons
nil
cons
cons
167
ref
subst
deductAntisym
eqMp
eqMp
eqMp
nil
151
ref
9003
remove
cons
9078
ref
cons
nil
cons
cons
167
ref
subst
deductAntisym
eqMp
eqMp
absThm
eqMp
nil
110
ref
99
ref
29
ref
71
ref
8997
ref
39
ref
appTerm
appTerm
8928
ref
appTerm
absTerm
appTerm
nil
cons
cons
111
ref
71
ref
8998
remove
appTerm
8928
ref
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
175
ref
subst
proveHyp
207
ref
208
ref
8997
remove
nil
cons
cons
9078
ref
cons
nil
cons
cons
811
ref
subst
eqMp
eqMp
eqMp
nil
151
ref
8992
remove
cons
9078
ref
cons
nil
cons
cons
167
ref
subst
deductAntisym
eqMp
eqMp
absThm
eqMp
nil
110
ref
99
ref
29
ref
71
ref
8986
ref
39
ref
appTerm
appTerm
8928
ref
appTerm
absTerm
appTerm
nil
cons
cons
111
ref
71
ref
8987
remove
appTerm
8928
ref
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
175
ref
subst
proveHyp
207
ref
208
ref
8986
remove
nil
cons
cons
9078
ref
cons
nil
cons
cons
811
ref
subst
eqMp
eqMp
eqMp
nil
151
ref
8982
remove
cons
9078
ref
cons
nil
cons
cons
167
ref
subst
deductAntisym
eqMp
eqMp
absThm
eqMp
nil
110
ref
99
ref
29
ref
71
ref
8933
ref
39
ref
appTerm
appTerm
8928
remove
appTerm
absTerm
appTerm
nil
cons
cons
8945
remove
cons
nil
cons
cons
175
ref
subst
proveHyp
207
ref
208
ref
8933
remove
nil
cons
cons
9078
remove
cons
nil
cons
cons
811
ref
subst
eqMp
proveHyp
proveHyp
proveHyp
proveHyp
proveHyp
proveHyp
eqMp
nil
151
ref
8972
remove
cons
153
ref
8944
remove
cons
nil
cons
9079
def
cons
nil
cons
cons
167
ref
subst
deductAntisym
eqMp
eqMp
eqMp
nil
151
ref
8965
remove
cons
9079
ref
cons
nil
cons
cons
167
ref
subst
deductAntisym
eqMp
eqMp
absThm
eqMp
nil
110
ref
99
ref
29
ref
71
ref
8959
ref
39
ref
appTerm
appTerm
8941
ref
appTerm
absTerm
appTerm
nil
cons
cons
111
ref
71
ref
8960
remove
appTerm
8941
ref
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
175
ref
subst
proveHyp
207
ref
208
ref
8959
remove
nil
cons
cons
9079
ref
cons
nil
cons
cons
811
ref
subst
eqMp
eqMp
eqMp
nil
151
ref
8954
remove
cons
9079
ref
cons
nil
cons
cons
167
ref
subst
deductAntisym
eqMp
eqMp
absThm
eqMp
nil
110
ref
99
ref
29
ref
71
ref
8948
ref
39
ref
appTerm
appTerm
8941
ref
appTerm
absTerm
appTerm
nil
cons
cons
111
ref
71
ref
8949
remove
appTerm
8941
ref
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
175
ref
subst
proveHyp
207
ref
208
ref
8948
remove
nil
cons
cons
9079
ref
cons
nil
cons
cons
811
ref
subst
eqMp
eqMp
eqMp
nil
151
ref
8943
remove
cons
9079
ref
cons
nil
cons
cons
167
ref
subst
deductAntisym
eqMp
eqMp
absThm
eqMp
nil
110
ref
99
ref
29
ref
71
ref
8938
ref
39
ref
appTerm
appTerm
8941
ref
appTerm
absTerm
appTerm
nil
cons
cons
111
ref
71
ref
8939
remove
appTerm
8941
remove
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
175
ref
subst
proveHyp
207
ref
208
ref
8938
remove
nil
cons
cons
9079
remove
cons
nil
cons
cons
811
ref
subst
eqMp
eqMp
eqMp
9080
def
eqMp
absThm
eqMp
eqMp
absThm
eqMp
eqMp
absThm
eqMp
eqMp
absThm
eqMp
eqMp
absThm
eqMp
eqMp
absThm
eqMp
eqMp
absThm
eqMp
eqMp
absThm
eqMp
nil
99
ref
8923
remove
appTerm
thm
nil
208
ref
8817
ref
99
ref
8818
ref
99
ref
1444
ref
99
ref
1442
ref
99
ref
1441
ref
99
ref
1440
ref
99
ref
2548
ref
99
ref
2543
ref
71
ref
49
ref
905
ref
8819
ref
appTerm
1449
ref
appTerm
1446
ref
appTerm
2556
ref
appTerm
appTerm
905
ref
8820
ref
appTerm
1457
ref
appTerm
1454
ref
appTerm
2559
ref
appTerm
appTerm
appTerm
905
ref
8821
ref
appTerm
1466
ref
appTerm
1463
ref
appTerm
2563
ref
appTerm
appTerm
9081
def
absTerm
9082
def
appTerm
9083
def
absTerm
9084
def
appTerm
9085
def
absTerm
9086
def
appTerm
9087
def
absTerm
9088
def
appTerm
9089
def
absTerm
9090
def
appTerm
9091
def
absTerm
9092
def
appTerm
9093
def
absTerm
9094
def
appTerm
9095
def
absTerm
9096
def
nil
cons
cons
nil
cons
nil
cons
cons
643
ref
subst
8817
ref
nil
139
ref
9095
remove
nil
cons
cons
nil
cons
nil
cons
cons
146
ref
subst
nil
208
ref
9094
remove
nil
cons
cons
nil
cons
nil
cons
cons
643
ref
subst
8818
ref
nil
139
ref
9093
remove
nil
cons
cons
nil
cons
nil
cons
cons
146
ref
subst
nil
208
ref
9092
remove
nil
cons
cons
nil
cons
nil
cons
cons
643
ref
subst
1444
ref
nil
139
ref
9091
remove
nil
cons
cons
nil
cons
nil
cons
cons
146
ref
subst
nil
208
ref
9090
remove
nil
cons
cons
nil
cons
nil
cons
cons
643
ref
subst
1442
ref
nil
139
ref
9089
remove
nil
cons
cons
nil
cons
nil
cons
cons
146
ref
subst
nil
208
ref
9088
remove
nil
cons
cons
nil
cons
nil
cons
cons
643
ref
subst
1441
ref
nil
139
ref
9087
remove
nil
cons
cons
nil
cons
nil
cons
cons
146
ref
subst
nil
208
ref
9086
remove
nil
cons
cons
nil
cons
nil
cons
cons
643
ref
subst
1440
ref
nil
139
ref
9085
remove
nil
cons
cons
nil
cons
nil
cons
cons
146
ref
subst
nil
208
ref
9084
remove
nil
cons
cons
nil
cons
nil
cons
cons
643
ref
subst
2548
ref
nil
139
ref
9083
remove
nil
cons
cons
nil
cons
nil
cons
cons
146
ref
subst
nil
208
ref
9082
remove
nil
cons
cons
nil
cons
nil
cons
cons
643
ref
subst
2543
ref
nil
139
ref
9081
remove
nil
cons
cons
nil
cons
nil
cons
cons
146
ref
subst
9077
ref
eqMp
absThm
eqMp
eqMp
absThm
eqMp
eqMp
absThm
eqMp
eqMp
absThm
eqMp
eqMp
absThm
eqMp
eqMp
absThm
eqMp
eqMp
absThm
eqMp
eqMp
absThm
eqMp
nil
99
ref
9096
remove
appTerm
thm
nil
208
ref
8817
ref
99
ref
8818
ref
99
ref
1444
ref
99
ref
1442
ref
99
ref
1441
ref
99
ref
1440
ref
99
ref
2548
ref
99
ref
2543
ref
71
ref
49
ref
968
ref
8819
ref
appTerm
1449
ref
appTerm
1446
ref
appTerm
2556
ref
appTerm
appTerm
968
ref
8820
ref
appTerm
1457
ref
appTerm
1454
ref
appTerm
2559
ref
appTerm
appTerm
appTerm
968
ref
8821
ref
appTerm
1466
ref
appTerm
1463
ref
appTerm
2563
ref
appTerm
appTerm
9097
def
absTerm
9098
def
appTerm
9099
def
absTerm
9100
def
appTerm
9101
def
absTerm
9102
def
appTerm
9103
def
absTerm
9104
def
appTerm
9105
def
absTerm
9106
def
appTerm
9107
def
absTerm
9108
def
appTerm
9109
def
absTerm
9110
def
appTerm
9111
def
absTerm
9112
def
nil
cons
cons
nil
cons
nil
cons
cons
643
ref
subst
8817
ref
nil
139
ref
9111
remove
nil
cons
cons
nil
cons
nil
cons
cons
146
ref
subst
nil
208
ref
9110
remove
nil
cons
cons
nil
cons
nil
cons
cons
643
ref
subst
8818
ref
nil
139
ref
9109
remove
nil
cons
cons
nil
cons
nil
cons
cons
146
ref
subst
nil
208
ref
9108
remove
nil
cons
cons
nil
cons
nil
cons
cons
643
ref
subst
1444
remove
nil
139
ref
9107
remove
nil
cons
cons
nil
cons
nil
cons
cons
146
ref
subst
nil
208
ref
9106
remove
nil
cons
cons
nil
cons
nil
cons
cons
643
ref
subst
1442
remove
nil
139
ref
9105
remove
nil
cons
cons
nil
cons
nil
cons
cons
146
ref
subst
nil
208
ref
9104
remove
nil
cons
cons
nil
cons
nil
cons
cons
643
ref
subst
1441
remove
nil
139
ref
9103
remove
nil
cons
cons
nil
cons
nil
cons
cons
146
ref
subst
nil
208
ref
9102
remove
nil
cons
cons
nil
cons
nil
cons
cons
643
ref
subst
1440
remove
nil
139
ref
9101
remove
nil
cons
cons
nil
cons
nil
cons
cons
146
ref
subst
nil
208
ref
9100
remove
nil
cons
cons
nil
cons
nil
cons
cons
643
ref
subst
2548
remove
nil
139
ref
9099
remove
nil
cons
cons
nil
cons
nil
cons
cons
146
ref
subst
nil
208
ref
9098
remove
nil
cons
cons
nil
cons
nil
cons
cons
643
ref
subst
2543
remove
nil
139
ref
9097
remove
nil
cons
cons
nil
cons
nil
cons
cons
146
ref
subst
226
ref
216
ref
8839
remove
991
ref
subst
appThm
8841
remove
991
ref
subst
appThm
appThm
8842
remove
991
ref
subst
appThm
sym
nil
1340
ref
725
ref
863
ref
49
ref
615
ref
8821
remove
appTerm
1466
remove
appTerm
9113
def
866
ref
appTerm
appTerm
974
ref
1463
ref
appTerm
2563
ref
appTerm
appTerm
absTerm
9114
def
appTerm
9115
def
nil
cons
9116
def
cons
111
ref
725
ref
863
ref
49
ref
615
ref
8820
remove
appTerm
1457
remove
appTerm
9117
def
866
ref
appTerm
appTerm
974
ref
1454
ref
appTerm
2559
ref
appTerm
appTerm
absTerm
9118
def
appTerm
9119
def
nil
cons
cons
110
ref
725
ref
863
ref
49
ref
615
ref
8819
remove
appTerm
1449
remove
appTerm
9120
def
866
ref
appTerm
appTerm
974
ref
1446
ref
appTerm
2556
ref
appTerm
appTerm
absTerm
9121
def
appTerm
9122
def
nil
cons
cons
nil
cons
cons
cons
nil
cons
cons
2249
remove
subst
sym
nil
208
ref
8859
ref
71
ref
9121
ref
8860
ref
appTerm
9123
def
appTerm
71
ref
9119
remove
appTerm
9115
ref
appTerm
9124
def
appTerm
9125
def
absTerm
nil
cons
cons
nil
cons
nil
cons
cons
643
ref
subst
8859
remove
nil
139
ref
9125
remove
nil
cons
cons
nil
cons
nil
cons
cons
146
ref
subst
nil
110
ref
9123
ref
nil
cons
9126
def
cons
111
ref
9124
ref
nil
cons
9127
def
cons
nil
cons
9128
def
cons
nil
cons
cons
9129
def
126
ref
subst
9129
remove
194
ref
subst
9123
ref
betaConv
9123
remove
assume
eqMp
nil
110
ref
49
ref
9120
remove
8860
ref
appTerm
9130
def
appTerm
9131
def
615
ref
8860
remove
appTerm
1446
remove
appTerm
2556
remove
appTerm
9132
def
appTerm
nil
cons
9133
def
cons
9128
ref
cons
nil
cons
cons
9134
def
175
ref
subst
proveHyp
9134
ref
126
ref
subst
9134
remove
194
ref
subst
nil
151
ref
9130
ref
nil
cons
9135
def
cons
153
ref
9132
ref
nil
cons
9136
def
cons
nil
cons
cons
nil
cons
cons
9137
def
167
ref
subst
9137
remove
334
ref
subst
nil
208
ref
8877
ref
71
ref
9118
ref
8878
ref
appTerm
9138
def
appTerm
9115
ref
appTerm
9139
def
absTerm
nil
cons
cons
nil
cons
nil
cons
cons
643
ref
subst
8877
remove
nil
139
ref
9139
remove
nil
cons
cons
nil
cons
nil
cons
cons
146
ref
subst
nil
110
ref
9138
ref
nil
cons
9140
def
cons
111
ref
9116
ref
cons
nil
cons
9141
def
cons
nil
cons
cons
9142
def
126
ref
subst
9142
remove
194
ref
subst
9138
ref
betaConv
9138
remove
assume
eqMp
nil
110
ref
49
ref
9117
remove
8878
ref
appTerm
9143
def
appTerm
615
ref
8878
remove
appTerm
1454
remove
appTerm
2559
remove
appTerm
9144
def
appTerm
nil
cons
9145
def
cons
9141
remove
cons
nil
cons
cons
9146
def
175
ref
subst
proveHyp
9146
ref
126
ref
subst
9146
remove
194
ref
subst
nil
151
ref
9143
ref
nil
cons
9147
def
cons
153
ref
9144
ref
nil
cons
9148
def
cons
nil
cons
cons
nil
cons
cons
9149
def
167
ref
subst
9149
remove
334
ref
subst
9114
ref
8893
ref
appTerm
betaConv
sym
216
ref
nil
139
ref
9135
remove
cons
nil
cons
nil
cons
cons
146
ref
subst
9130
remove
assume
eqMp
appThm
nil
139
ref
9147
remove
cons
nil
cons
nil
cons
cons
146
ref
subst
9143
ref
assume
eqMp
appThm
528
ref
trans
sym
145
ref
eqMp
nil
110
ref
9131
remove
9143
remove
appTerm
nil
cons
cons
111
ref
9113
remove
8893
ref
appTerm
nil
cons
9150
def
cons
nil
cons
cons
nil
cons
cons
175
ref
subst
proveHyp
8899
remove
8239
ref
subst
eqMp
nil
110
ref
9150
remove
cons
111
ref
615
ref
8893
remove
appTerm
1463
remove
appTerm
2563
remove
appTerm
nil
cons
cons
nil
cons
9151
def
cons
nil
cons
cons
194
ref
subst
proveHyp
216
ref
nil
139
ref
9136
remove
cons
nil
cons
nil
cons
cons
146
ref
subst
9132
ref
assume
eqMp
appThm
nil
139
ref
9148
remove
cons
nil
cons
nil
cons
cons
146
ref
subst
9144
ref
assume
eqMp
appThm
528
ref
trans
sym
145
ref
eqMp
nil
110
ref
49
ref
9132
remove
appTerm
9144
remove
appTerm
nil
cons
cons
9151
remove
cons
nil
cons
cons
175
ref
subst
proveHyp
8903
remove
8239
remove
subst
eqMp
eqMp
eqMp
207
ref
208
ref
9114
remove
nil
cons
cons
8904
remove
cons
nil
cons
cons
724
ref
subst
proveHyp
proveHyp
proveHyp
eqMp
nil
151
ref
9145
remove
cons
153
ref
9116
remove
cons
nil
cons
9152
def
cons
nil
cons
cons
167
ref
subst
deductAntisym
eqMp
eqMp
eqMp
nil
151
ref
9140
remove
cons
9152
ref
cons
nil
cons
cons
167
ref
subst
deductAntisym
eqMp
eqMp
absThm
eqMp
nil
110
ref
99
ref
29
ref
71
ref
9118
ref
39
ref
appTerm
appTerm
9115
remove
appTerm
absTerm
appTerm
nil
cons
cons
9128
remove
cons
nil
cons
cons
175
ref
subst
proveHyp
207
ref
208
ref
9118
remove
nil
cons
cons
9152
remove
cons
nil
cons
cons
811
ref
subst
eqMp
proveHyp
proveHyp
eqMp
nil
151
ref
9133
remove
cons
153
ref
9127
remove
cons
nil
cons
9153
def
cons
nil
cons
cons
167
ref
subst
deductAntisym
eqMp
eqMp
eqMp
nil
151
ref
9126
remove
cons
9153
ref
cons
nil
cons
cons
167
ref
subst
deductAntisym
eqMp
eqMp
absThm
eqMp
nil
110
ref
99
ref
29
ref
71
ref
9121
ref
39
ref
appTerm
appTerm
9124
ref
appTerm
absTerm
appTerm
nil
cons
cons
111
ref
71
ref
9122
remove
appTerm
9124
remove
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
175
ref
subst
proveHyp
207
ref
208
ref
9121
remove
nil
cons
cons
9153
remove
cons
nil
cons
cons
811
ref
subst
eqMp
eqMp
eqMp
9154
def
eqMp
absThm
eqMp
eqMp
absThm
eqMp
eqMp
absThm
eqMp
eqMp
absThm
eqMp
eqMp
absThm
eqMp
eqMp
absThm
eqMp
eqMp
absThm
eqMp
eqMp
absThm
eqMp
nil
99
ref
9112
remove
appTerm
thm
nil
178
ref
5466
ref
588
ref
539
ref
71
ref
68
ref
263
ref
68
ref
1001
ref
68
ref
2165
ref
71
ref
5467
ref
627
ref
appTerm
2168
ref
appTerm
appTerm
4633
remove
1002
ref
appTerm
2168
ref
appTerm
appTerm
absTerm
9155
def
appTerm
9156
def
absTerm
9157
def
appTerm
9158
def
absTerm
9159
def
appTerm
9160
def
appTerm
99
ref
29
ref
99
ref
26
ref
99
ref
542
ref
71
ref
451
remove
5479
remove
547
ref
appTerm
9161
def
appTerm
9162
def
appTerm
548
ref
appTerm
9163
def
absTerm
9164
def
appTerm
9165
def
absTerm
9166
def
appTerm
9167
def
absTerm
9168
def
appTerm
9169
def
appTerm
9170
def
absTerm
9171
def
appTerm
9172
def
absTerm
9173
def
nil
cons
cons
nil
cons
nil
cons
cons
1982
ref
subst
5466
remove
nil
139
ref
9172
remove
nil
cons
cons
nil
cons
nil
cons
cons
146
ref
subst
nil
592
ref
9171
remove
nil
cons
cons
nil
cons
nil
cons
cons
2815
ref
subst
539
ref
nil
139
ref
9170
remove
nil
cons
cons
nil
cons
nil
cons
cons
146
ref
subst
nil
110
ref
9160
remove
nil
cons
9174
def
cons
9175
def
111
ref
9169
remove
nil
cons
9176
def
cons
nil
cons
cons
nil
cons
cons
9177
def
126
ref
subst
9177
remove
194
ref
subst
nil
208
ref
9168
remove
nil
cons
cons
nil
cons
nil
cons
cons
643
ref
subst
29
ref
nil
139
ref
9167
remove
nil
cons
cons
nil
cons
nil
cons
cons
146
ref
subst
nil
208
ref
9166
remove
nil
cons
cons
nil
cons
nil
cons
cons
643
ref
subst
26
ref
nil
139
ref
9165
remove
nil
cons
cons
nil
cons
nil
cons
cons
146
ref
subst
nil
208
ref
9164
remove
nil
cons
cons
nil
cons
nil
cons
cons
643
ref
subst
542
ref
nil
139
ref
9163
remove
nil
cons
cons
nil
cons
nil
cons
cons
146
ref
subst
nil
110
ref
9162
remove
nil
cons
9178
def
cons
7951
remove
nil
cons
9179
def
cons
nil
cons
cons
9180
def
126
ref
subst
9180
remove
194
ref
subst
nil
2765
remove
153
ref
9161
ref
nil
cons
9181
def
cons
nil
cons
cons
nil
cons
cons
9182
def
167
ref
subst
9182
remove
334
ref
subst
nil
2185
remove
9179
remove
cons
nil
cons
cons
175
ref
subst
26
ref
1118
remove
548
remove
appTerm
absTerm
9183
def
41
ref
appTerm
9184
def
betaConv
nil
110
ref
9181
remove
cons
111
ref
99
ref
9183
ref
appTerm
9185
def
nil
cons
9186
def
cons
nil
cons
cons
nil
cons
cons
175
ref
subst
542
ref
71
ref
9161
remove
appTerm
9187
def
9185
ref
appTerm
absTerm
9188
def
547
ref
appTerm
9189
def
betaConv
29
ref
99
ref
9188
ref
appTerm
9190
def
absTerm
9191
def
39
ref
appTerm
9192
def
betaConv
nil
208
ref
26
ref
71
ref
219
remove
60
ref
appTerm
appTerm
9193
def
2258
remove
20
ref
appTerm
9194
def
appTerm
9195
def
absTerm
9196
def
nil
cons
cons
nil
cons
nil
cons
cons
643
ref
subst
26
ref
nil
139
ref
9195
remove
nil
cons
cons
nil
cons
nil
cons
cons
146
ref
subst
226
ref
nil
7303
ref
487
remove
cons
nil
cons
cons
7302
ref
subst
appThm
9194
ref
refl
9197
def
appThm
sym
226
ref
8483
ref
221
remove
appThm
2250
remove
trans
appThm
9197
remove
appThm
sym
nil
2262
remove
111
ref
9194
remove
nil
cons
9198
def
cons
nil
cons
cons
nil
cons
cons
9199
def
126
ref
subst
9199
remove
194
ref
subst
36
ref
"_32104"
2
ref
var
9200
def
1960
remove
9200
remove
varTerm
appTerm
20
ref
appTerm
absTerm
9201
def
41
ref
appTerm
9202
def
appTerm
refl
9201
ref
20
ref
appTerm
betaConv
appThm
155
ref
9202
remove
betaConv
appThm
1962
remove
refl
appThm
trans
9201
remove
refl
2269
remove
appThm
eqMp
sym
602
remove
eqMp
eqMp
nil
2270
remove
153
ref
9198
remove
cons
nil
cons
cons
nil
cons
cons
167
ref
subst
deductAntisym
eqMp
eqMp
eqMp
eqMp
absThm
eqMp
nil
110
ref
99
ref
9196
remove
appTerm
9203
def
nil
cons
cons
111
ref
68
ref
2291
ref
99
ref
2313
ref
68
ref
2343
ref
99
ref
2360
ref
71
ref
49
ref
5467
remove
2292
ref
appTerm
9204
def
2344
ref
appTerm
appTerm
9205
def
49
ref
5478
remove
2314
ref
appTerm
9206
def
2361
ref
appTerm
appTerm
9207
def
99
ref
26
ref
71
ref
2325
remove
60
ref
appTerm
appTerm
9208
def
2396
ref
2361
ref
appTerm
appTerm
absTerm
appTerm
appTerm
9209
def
appTerm
appTerm
99
ref
26
ref
71
ref
3351
remove
60
remove
appTerm
appTerm
9210
def
2338
ref
2369
ref
appTerm
appTerm
absTerm
appTerm
appTerm
absTerm
appTerm
absTerm
appTerm
9211
def
absTerm
9212
def
appTerm
9213
def
absTerm
9214
def
appTerm
9215
def
nil
cons
cons
nil
cons
cons
nil
cons
cons
194
ref
subst
proveHyp
nil
262
ref
9214
remove
nil
cons
cons
nil
cons
nil
cons
cons
663
ref
subst
2291
ref
nil
139
ref
9213
remove
nil
cons
cons
nil
cons
nil
cons
cons
146
ref
subst
nil
208
ref
9212
remove
nil
cons
cons
nil
cons
nil
cons
cons
643
ref
subst
2313
ref
nil
139
ref
9211
remove
nil
cons
cons
nil
cons
nil
cons
cons
146
ref
subst
nil
262
ref
2445
ref
99
ref
2360
ref
71
ref
49
ref
9204
remove
2446
ref
appTerm
9216
def
appTerm
9217
def
9209
remove
appTerm
appTerm
99
ref
26
ref
9210
ref
2338
ref
2456
remove
2361
ref
appTerm
appTerm
appTerm
absTerm
appTerm
appTerm
absTerm
appTerm
9218
def
absTerm
nil
cons
cons
nil
cons
nil
cons
cons
663
ref
subst
2445
ref
nil
139
ref
9218
remove
nil
cons
cons
nil
cons
nil
cons
cons
146
ref
subst
nil
208
ref
2423
ref
71
ref
9217
ref
49
ref
9206
remove
2424
ref
appTerm
9219
def
appTerm
9220
def
99
ref
26
ref
9208
ref
2396
remove
2424
ref
appTerm
9221
def
appTerm
absTerm
appTerm
appTerm
appTerm
appTerm
9222
def
99
ref
26
ref
9210
ref
2338
remove
2457
ref
appTerm
9223
def
appTerm
absTerm
appTerm
appTerm
9224
def
absTerm
nil
cons
cons
nil
cons
nil
cons
cons
643
ref
subst
2423
ref
nil
139
ref
9224
remove
nil
cons
cons
nil
cons
nil
cons
cons
146
ref
subst
9222
remove
refl
624
ref
26
ref
226
ref
217
ref
5718
remove
appThm
2192
remove
appThm
appThm
9223
ref
refl
9225
def
appThm
absThm
appThm
appThm
sym
226
ref
9217
ref
refl
9220
ref
refl
624
ref
26
ref
226
ref
nil
7303
ref
258
ref
3368
remove
cons
nil
cons
cons
nil
cons
cons
7302
ref
subst
appThm
9221
ref
refl
appThm
absThm
appThm
appThm
appThm
appThm
624
ref
26
ref
226
ref
nil
7303
remove
258
ref
1284
remove
2324
ref
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
7302
remove
subst
appThm
9225
ref
appThm
absThm
appThm
appThm
sym
71
ref
9217
remove
9220
remove
99
ref
26
ref
71
ref
61
ref
2324
ref
appTerm
appTerm
9221
remove
appTerm
absTerm
9226
def
appTerm
9227
def
appTerm
9228
def
appTerm
9229
def
appTerm
refl
9230
def
624
ref
26
ref
226
ref
8483
ref
5719
remove
1247
remove
subst
appThm
appThm
9225
ref
appThm
absThm
appThm
appThm
sym
9230
remove
624
ref
26
ref
226
ref
8483
remove
3435
remove
2096
remove
subst
appThm
appThm
9225
remove
appThm
absThm
appThm
appThm
sym
nil
110
ref
9229
remove
nil
cons
9231
def
cons
111
ref
99
ref
26
ref
71
ref
61
remove
3392
remove
appTerm
9232
def
appTerm
9223
ref
appTerm
9233
def
absTerm
9234
def
appTerm
nil
cons
9235
def
cons
nil
cons
cons
nil
cons
cons
9236
def
126
ref
subst
9236
remove
194
ref
subst
nil
151
ref
9216
remove
nil
cons
9237
def
cons
153
ref
9228
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
9238
def
167
ref
subst
9238
remove
334
ref
subst
nil
151
ref
9219
remove
nil
cons
cons
153
ref
9227
remove
nil
cons
9239
def
cons
nil
cons
cons
nil
cons
cons
334
ref
subst
nil
208
ref
9234
remove
nil
cons
cons
nil
cons
nil
cons
cons
643
ref
subst
26
ref
nil
139
ref
9233
remove
nil
cons
cons
nil
cons
nil
cons
cons
146
ref
subst
nil
110
ref
9232
ref
nil
cons
9240
def
cons
111
ref
9223
ref
nil
cons
9241
def
cons
nil
cons
9242
def
cons
nil
cons
cons
9243
def
126
ref
subst
9243
remove
194
ref
subst
nil
3369
remove
213
ref
cons
nil
cons
cons
1094
remove
subst
9232
remove
assume
eqMp
nil
110
ref
1000
remove
227
ref
725
ref
1111
ref
2295
remove
2296
remove
2324
ref
appTerm
9244
def
appTerm
absTerm
appTerm
absTerm
9245
def
appTerm
9246
def
nil
cons
cons
9242
ref
cons
nil
cons
cons
175
ref
subst
proveHyp
nil
262
ref
2343
ref
71
ref
9245
ref
2344
ref
appTerm
9247
def
appTerm
9223
ref
appTerm
9248
def
absTerm
nil
cons
cons
nil
cons
nil
cons
cons
663
ref
subst
2343
ref
nil
139
ref
9248
remove
nil
cons
cons
nil
cons
nil
cons
cons
146
ref
subst
nil
110
ref
9247
ref
nil
cons
9249
def
cons
9242
ref
cons
nil
cons
cons
9250
def
126
ref
subst
9250
remove
194
ref
subst
9247
ref
betaConv
9247
remove
assume
eqMp
nil
110
ref
725
ref
1111
remove
2356
remove
9244
remove
appTerm
absTerm
9251
def
appTerm
9252
def
nil
cons
cons
9242
ref
cons
nil
cons
cons
175
ref
subst
proveHyp
nil
208
ref
2360
ref
71
ref
9251
ref
2361
ref
appTerm
9253
def
appTerm
9223
ref
appTerm
9254
def
absTerm
nil
cons
cons
nil
cons
nil
cons
cons
643
ref
subst
2360
ref
nil
139
ref
9254
remove
nil
cons
cons
nil
cons
nil
cons
cons
146
ref
subst
nil
110
ref
9253
ref
nil
cons
9255
def
cons
9242
ref
cons
nil
cons
cons
9256
def
126
ref
subst
9256
remove
194
ref
subst
9253
ref
betaConv
9253
remove
assume
eqMp
nil
110
ref
2371
remove
2373
remove
2324
remove
appTerm
9257
def
appTerm
nil
cons
9258
def
cons
9242
remove
cons
nil
cons
cons
9259
def
175
ref
subst
proveHyp
9259
ref
126
ref
subst
9259
remove
194
ref
subst
nil
2378
remove
153
ref
9257
remove
nil
cons
9260
def
cons
nil
cons
cons
nil
cons
cons
9261
def
167
ref
subst
9261
remove
334
ref
subst
36
ref
"_32108"
2
ref
var
9262
def
2337
remove
9262
remove
varTerm
appTerm
2457
ref
appTerm
absTerm
9263
def
41
ref
appTerm
9264
def
appTerm
refl
9263
ref
2369
ref
appTerm
betaConv
appThm
155
ref
9264
remove
betaConv
appThm
5336
remove
appThm
trans
9263
remove
refl
2392
remove
appThm
eqMp
sym
5337
remove
sym
nil
110
ref
9237
remove
cons
4868
remove
cons
nil
cons
cons
175
ref
subst
nil
7820
ref
2996
ref
2438
remove
cons
cons
nil
cons
cons
9155
ref
2168
ref
appTerm
9265
def
betaConv
9157
ref
1002
ref
appTerm
9266
def
betaConv
9159
ref
627
ref
appTerm
9267
def
betaConv
nil
9175
remove
111
ref
9267
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
175
ref
subst
261
ref
262
ref
9159
remove
nil
cons
cons
3024
ref
cons
nil
cons
cons
205
ref
subst
eqMp
eqMp
nil
110
ref
9158
remove
nil
cons
cons
111
ref
9266
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
175
ref
subst
proveHyp
261
ref
262
ref
9157
remove
nil
cons
cons
2495
ref
cons
nil
cons
cons
205
ref
subst
eqMp
eqMp
nil
110
ref
9156
remove
nil
cons
cons
111
ref
9265
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
175
ref
subst
proveHyp
261
ref
262
ref
9155
remove
nil
cons
cons
5973
ref
cons
nil
cons
cons
205
ref
subst
eqMp
eqMp
subst
eqMp
4996
remove
proveHyp
nil
110
ref
9260
remove
cons
4995
remove
cons
nil
cons
cons
175
ref
subst
nil
3385
remove
nil
cons
nil
cons
cons
9226
ref
41
ref
appTerm
9268
def
betaConv
nil
110
ref
9239
remove
cons
111
ref
9268
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
175
ref
subst
207
ref
208
ref
9226
remove
nil
cons
cons
213
ref
cons
nil
cons
cons
205
ref
subst
eqMp
eqMp
subst
eqMp
eqMp
eqMp
eqMp
proveHyp
proveHyp
eqMp
nil
151
ref
9258
remove
cons
153
ref
9241
remove
cons
nil
cons
9269
def
cons
nil
cons
cons
167
ref
subst
deductAntisym
eqMp
eqMp
eqMp
nil
151
ref
9255
remove
cons
9269
ref
cons
nil
cons
cons
167
ref
subst
deductAntisym
eqMp
eqMp
absThm
eqMp
nil
110
ref
99
ref
29
ref
71
ref
9251
ref
39
ref
appTerm
appTerm
9223
ref
appTerm
absTerm
appTerm
nil
cons
cons
111
ref
71
ref
9252
remove
appTerm
9223
ref
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
175
ref
subst
proveHyp
207
ref
208
ref
9251
remove
nil
cons
cons
9269
ref
cons
nil
cons
cons
811
ref
subst
eqMp
eqMp
eqMp
nil
151
ref
9249
remove
cons
9269
ref
cons
nil
cons
cons
167
ref
subst
deductAntisym
eqMp
eqMp
absThm
eqMp
nil
110
ref
68
ref
263
ref
71
ref
9245
ref
627
ref
appTerm
appTerm
9223
ref
appTerm
absTerm
appTerm
nil
cons
cons
111
ref
71
ref
9246
remove
appTerm
9223
remove
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
175
ref
subst
proveHyp
261
ref
262
ref
9245
remove
nil
cons
cons
9269
ref
cons
nil
cons
cons
811
ref
subst
eqMp
eqMp
eqMp
nil
151
ref
9240
remove
cons
9269
remove
cons
nil
cons
cons
167
ref
subst
deductAntisym
eqMp
eqMp
absThm
eqMp
proveHyp
proveHyp
proveHyp
eqMp
nil
151
ref
9231
remove
cons
153
ref
9235
remove
cons
nil
cons
cons
nil
cons
cons
167
ref
subst
deductAntisym
eqMp
eqMp
eqMp
eqMp
eqMp
eqMp
absThm
eqMp
eqMp
absThm
eqMp
eqMp
absThm
eqMp
eqMp
absThm
eqMp
eqMp
nil
110
ref
49
ref
9203
remove
appTerm
9215
remove
appTerm
nil
cons
cons
111
ref
99
ref
9191
ref
appTerm
nil
cons
9270
def
cons
nil
cons
cons
nil
cons
cons
175
ref
subst
proveHyp
226
ref
216
ref
29
ref
542
ref
9185
remove
absTerm
9271
def
absTerm
9272
def
20
ref
appTerm
betaConv
21
remove
appThm
542
ref
99
ref
26
ref
9193
remove
2259
remove
appTerm
absTerm
appTerm
absTerm
20
remove
appTerm
betaConv
trans
appThm
225
ref
2291
ref
624
ref
2313
ref
225
ref
2343
ref
624
ref
2360
ref
226
ref
9205
remove
refl
9207
remove
refl
9272
ref
2314
ref
appTerm
betaConv
3034
remove
appThm
542
ref
99
ref
26
ref
9208
remove
2397
remove
appTerm
absTerm
appTerm
absTerm
2361
ref
appTerm
betaConv
trans
appThm
appThm
appThm
9272
ref
2322
ref
appTerm
betaConv
3035
remove
appThm
542
ref
99
ref
26
ref
9210
remove
2339
remove
appTerm
absTerm
appTerm
absTerm
2369
ref
appTerm
betaConv
trans
appThm
absThm
appThm
absThm
appThm
absThm
appThm
absThm
appThm
appThm
appThm
624
ref
29
ref
624
remove
542
ref
9187
remove
refl
9272
ref
39
ref
appTerm
betaConv
2163
remove
appThm
9271
remove
547
ref
appTerm
betaConv
trans
appThm
absThm
appThm
absThm
appThm
appThm
nil
3036
ref
9272
remove
nil
cons
cons
5506
remove
cons
nil
cons
cons
3971
ref
subst
eqMp
eqMp
nil
110
ref
9270
remove
cons
111
ref
9192
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
175
ref
subst
proveHyp
207
ref
208
ref
9191
remove
nil
cons
cons
210
ref
cons
nil
cons
cons
205
ref
subst
eqMp
eqMp
nil
110
ref
9190
remove
nil
cons
cons
111
ref
9189
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
175
ref
subst
proveHyp
207
ref
208
ref
9188
remove
nil
cons
cons
595
ref
cons
nil
cons
cons
205
ref
subst
eqMp
eqMp
eqMp
nil
110
ref
9186
remove
cons
111
ref
9184
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
175
ref
subst
proveHyp
207
ref
208
ref
9183
remove
nil
cons
cons
213
ref
cons
nil
cons
cons
205
ref
subst
eqMp
eqMp
eqMp
proveHyp
proveHyp
eqMp
nil
151
ref
9178
remove
cons
7981
remove
cons
nil
cons
cons
167
ref
subst
deductAntisym
eqMp
eqMp
absThm
eqMp
eqMp
absThm
eqMp
eqMp
absThm
eqMp
eqMp
nil
151
ref
9174
remove
cons
153
ref
9176
remove
cons
nil
cons
cons
nil
cons
cons
167
ref
subst
deductAntisym
eqMp
eqMp
absThm
eqMp
eqMp
absThm
eqMp
nil
108
ref
9173
remove
appTerm
thm
4945
remove
nil
4946
remove
thm
nil
262
ref
1943
ref
99
ref
29
ref
99
ref
26
ref
99
ref
542
ref
65
ref
66
ref
68
ref
69
ref
68
ref
70
ref
68
ref
552
ref
71
ref
7270
ref
559
ref
appTerm
appTerm
4022
ref
appTerm
9273
def
absTerm
9274
def
appTerm
9275
def
absTerm
9276
def
appTerm
9277
def
absTerm
9278
def
appTerm
9279
def
absTerm
9280
def
appTerm
9281
def
absTerm
9282
def
appTerm
9283
def
absTerm
9284
def
appTerm
9285
def
absTerm
9286
def
appTerm
9287
def
absTerm
9288
def
nil
cons
cons
nil
cons
nil
cons
cons
663
ref
subst
1943
ref
nil
139
ref
9287
remove
nil
cons
cons
nil
cons
nil
cons
cons
146
ref
subst
nil
208
ref
9286
remove
nil
cons
cons
nil
cons
nil
cons
cons
643
ref
subst
29
ref
nil
139
ref
9285
remove
nil
cons
cons
nil
cons
nil
cons
cons
146
ref
subst
nil
208
ref
9284
remove
nil
cons
cons
nil
cons
nil
cons
cons
643
ref
subst
26
ref
nil
139
ref
9283
remove
nil
cons
cons
nil
cons
nil
cons
cons
146
ref
subst
nil
208
ref
9282
remove
nil
cons
cons
nil
cons
nil
cons
cons
643
ref
subst
542
ref
nil
139
ref
9281
remove
nil
cons
cons
nil
cons
nil
cons
cons
146
ref
subst
nil
257
ref
9280
remove
nil
cons
cons
nil
cons
nil
cons
cons
662
ref
subst
66
ref
nil
139
ref
9279
remove
nil
cons
cons
nil
cons
nil
cons
cons
146
ref
subst
nil
262
ref
9278
remove
nil
cons
cons
nil
cons
nil
cons
cons
663
ref
subst
69
ref
nil
139
ref
9277
remove
nil
cons
cons
nil
cons
nil
cons
cons
146
ref
subst
nil
262
ref
9276
remove
nil
cons
cons
nil
cons
nil
cons
cons
663
ref
subst
70
ref
nil
139
ref
9275
remove
nil
cons
cons
nil
cons
nil
cons
cons
146
ref
subst
nil
262
ref
9274
remove
nil
cons
cons
nil
cons
nil
cons
cons
663
ref
subst
552
ref
nil
139
ref
9273
remove
nil
cons
cons
nil
cons
nil
cons
cons
146
ref
subst
226
ref
7281
ref
4924
remove
appThm
appThm
4022
remove
refl
appThm
sym
8816
remove
4944
remove
subst
eqMp
eqMp
absThm
eqMp
eqMp
absThm
eqMp
eqMp
absThm
eqMp
eqMp
absThm
eqMp
eqMp
absThm
eqMp
eqMp
absThm
eqMp
eqMp
absThm
eqMp
eqMp
absThm
eqMp
nil
68
ref
9288
remove
appTerm
thm
nil
208
ref
29
ref
99
ref
26
ref
99
ref
542
ref
65
ref
271
ref
65
ref
48
ref
99
ref
3515
ref
99
ref
3513
ref
99
ref
5102
ref
71
ref
5786
ref
5108
ref
appTerm
9289
def
appTerm
532
ref
3518
ref
appTerm
3521
ref
appTerm
9290
def
5105
ref
appTerm
9291
def
appTerm
9292
def
absTerm
9293
def
appTerm
9294
def
absTerm
9295
def
appTerm
9296
def
absTerm
9297
def
appTerm
9298
def
absTerm
9299
def
appTerm
9300
def
absTerm
9301
def
appTerm
9302
def
absTerm
9303
def
appTerm
9304
def
absTerm
9305
def
appTerm
9306
def
absTerm
9307
def
nil
cons
cons
9308
def
nil
cons
nil
cons
cons
643
ref
subst
29
ref
nil
139
ref
9306
remove
nil
cons
9309
def
cons
nil
cons
nil
cons
cons
146
ref
subst
nil
208
ref
9305
ref
nil
cons
cons
9310
def
nil
cons
nil
cons
cons
643
ref
subst
26
ref
nil
139
ref
9304
remove
nil
cons
9311
def
cons
nil
cons
nil
cons
cons
146
ref
subst
nil
208
ref
9303
ref
nil
cons
cons
9312
def
nil
cons
nil
cons
cons
643
ref
subst
542
ref
nil
139
ref
9302
remove
nil
cons
9313
def
cons
nil
cons
nil
cons
cons
146
ref
subst
nil
257
ref
9301
ref
nil
cons
cons
9314
def
nil
cons
nil
cons
cons
662
ref
subst
271
ref
nil
139
ref
9300
remove
nil
cons
9315
def
cons
nil
cons
nil
cons
cons
146
ref
subst
nil
257
ref
9299
ref
nil
cons
cons
9316
def
nil
cons
nil
cons
cons
662
ref
subst
48
ref
nil
139
ref
9298
remove
nil
cons
9317
def
cons
nil
cons
nil
cons
cons
146
ref
subst
nil
208
ref
9297
ref
nil
cons
cons
9318
def
nil
cons
nil
cons
cons
643
ref
subst
3515
ref
nil
139
ref
9296
remove
nil
cons
9319
def
cons
nil
cons
nil
cons
cons
146
ref
subst
nil
208
ref
9295
ref
nil
cons
cons
9320
def
nil
cons
nil
cons
cons
643
ref
subst
3513
ref
nil
139
ref
9294
remove
nil
cons
9321
def
cons
nil
cons
nil
cons
cons
146
ref
subst
nil
208
ref
9293
ref
nil
cons
cons
9322
def
nil
cons
nil
cons
cons
643
ref
subst
5102
ref
nil
139
ref
9292
remove
nil
cons
cons
nil
cons
nil
cons
cons
146
ref
subst
226
ref
5803
remove
5169
ref
appThm
appThm
538
remove
8095
ref
appThm
8096
ref
appThm
5105
ref
refl
9323
def
appThm
appThm
sym
541
remove
5248
ref
subst
eqMp
eqMp
absThm
eqMp
eqMp
absThm
eqMp
eqMp
absThm
eqMp
eqMp
absThm
eqMp
eqMp
absThm
eqMp
eqMp
absThm
eqMp
eqMp
absThm
eqMp
eqMp
absThm
eqMp
9324
def
nil
99
ref
9307
ref
appTerm
9325
def
thm
nil
208
ref
29
ref
99
ref
26
ref
99
ref
542
ref
65
ref
271
ref
65
ref
48
ref
99
ref
3515
ref
99
ref
3513
ref
99
ref
5102
ref
71
ref
5843
ref
5108
ref
appTerm
9326
def
appTerm
606
ref
3518
ref
appTerm
3521
ref
appTerm
5105
ref
appTerm
9327
def
appTerm
9328
def
absTerm
9329
def
appTerm
9330
def
absTerm
9331
def
appTerm
9332
def
absTerm
9333
def
appTerm
9334
def
absTerm
9335
def
appTerm
9336
def
absTerm
9337
def
appTerm
9338
def
absTerm
9339
def
appTerm
9340
def
absTerm
9341
def
appTerm
9342
def
absTerm
9343
def
nil
cons
cons
9344
def
nil
cons
nil
cons
cons
643
ref
subst
29
ref
nil
139
ref
9342
remove
nil
cons
9345
def
cons
nil
cons
nil
cons
cons
146
ref
subst
nil
208
ref
9341
ref
nil
cons
cons
9346
def
nil
cons
nil
cons
cons
643
ref
subst
26
ref
nil
139
ref
9340
remove
nil
cons
9347
def
cons
nil
cons
nil
cons
cons
146
ref
subst
nil
208
ref
9339
ref
nil
cons
cons
9348
def
nil
cons
nil
cons
cons
643
ref
subst
542
ref
nil
139
ref
9338
remove
nil
cons
9349
def
cons
nil
cons
nil
cons
cons
146
ref
subst
nil
257
ref
9337
ref
nil
cons
cons
9350
def
nil
cons
nil
cons
cons
662
ref
subst
271
ref
nil
139
ref
9336
remove
nil
cons
9351
def
cons
nil
cons
nil
cons
cons
146
ref
subst
nil
257
ref
9335
ref
nil
cons
cons
9352
def
nil
cons
nil
cons
cons
662
ref
subst
48
ref
nil
139
ref
9334
remove
nil
cons
9353
def
cons
nil
cons
nil
cons
cons
146
ref
subst
nil
208
ref
9333
ref
nil
cons
cons
9354
def
nil
cons
nil
cons
cons
643
ref
subst
3515
ref
nil
139
ref
9332
remove
nil
cons
9355
def
cons
nil
cons
nil
cons
cons
146
ref
subst
nil
208
ref
9331
ref
nil
cons
cons
9356
def
nil
cons
nil
cons
cons
643
ref
subst
3513
ref
nil
139
ref
9330
remove
nil
cons
9357
def
cons
nil
cons
nil
cons
cons
146
ref
subst
nil
208
ref
9329
ref
nil
cons
cons
9358
def
nil
cons
nil
cons
cons
643
ref
subst
5102
ref
nil
139
ref
9328
remove
nil
cons
cons
nil
cons
nil
cons
cons
146
ref
subst
226
ref
5860
remove
5169
ref
appThm
appThm
609
remove
8095
ref
appThm
8096
ref
appThm
9323
ref
appThm
appThm
sym
611
remove
5248
ref
subst
eqMp
eqMp
absThm
eqMp
eqMp
absThm
eqMp
eqMp
absThm
eqMp
eqMp
absThm
eqMp
eqMp
absThm
eqMp
eqMp
absThm
eqMp
eqMp
absThm
eqMp
eqMp
absThm
eqMp
9359
def
nil
99
ref
9343
ref
appTerm
9360
def
thm
nil
208
ref
29
ref
99
ref
26
ref
99
ref
542
ref
65
ref
271
ref
65
ref
48
ref
99
ref
3515
ref
99
ref
3513
ref
99
ref
5102
ref
71
ref
5863
ref
5108
ref
appTerm
9361
def
appTerm
615
ref
3518
ref
appTerm
3521
ref
appTerm
5105
ref
appTerm
9362
def
appTerm
9363
def
absTerm
9364
def
appTerm
9365
def
absTerm
9366
def
appTerm
9367
def
absTerm
9368
def
appTerm
9369
def
absTerm
9370
def
appTerm
9371
def
absTerm
9372
def
appTerm
9373
def
absTerm
9374
def
appTerm
9375
def
absTerm
9376
def
appTerm
9377
def
absTerm
9378
def
nil
cons
cons
9379
def
nil
cons
nil
cons
cons
643
ref
subst
29
ref
nil
139
ref
9377
remove
nil
cons
9380
def
cons
nil
cons
nil
cons
cons
146
ref
subst
nil
208
ref
9376
ref
nil
cons
cons
9381
def
nil
cons
nil
cons
cons
643
ref
subst
26
ref
nil
139
ref
9375
remove
nil
cons
9382
def
cons
nil
cons
nil
cons
cons
146
ref
subst
nil
208
ref
9374
ref
nil
cons
cons
9383
def
nil
cons
nil
cons
cons
643
ref
subst
542
ref
nil
139
ref
9373
remove
nil
cons
9384
def
cons
nil
cons
nil
cons
cons
146
ref
subst
nil
257
ref
9372
ref
nil
cons
cons
9385
def
nil
cons
nil
cons
cons
662
ref
subst
271
ref
nil
139
ref
9371
remove
nil
cons
9386
def
cons
nil
cons
nil
cons
cons
146
ref
subst
nil
257
ref
9370
ref
nil
cons
cons
9387
def
nil
cons
nil
cons
cons
662
ref
subst
48
ref
nil
139
ref
9369
remove
nil
cons
9388
def
cons
nil
cons
nil
cons
cons
146
ref
subst
nil
208
ref
9368
ref
nil
cons
cons
9389
def
nil
cons
nil
cons
cons
643
ref
subst
3515
ref
nil
139
ref
9367
remove
nil
cons
9390
def
cons
nil
cons
nil
cons
cons
146
ref
subst
nil
208
ref
9366
ref
nil
cons
cons
9391
def
nil
cons
nil
cons
cons
643
ref
subst
3513
ref
nil
139
ref
9365
remove
nil
cons
9392
def
cons
nil
cons
nil
cons
cons
146
ref
subst
nil
208
ref
9364
ref
nil
cons
cons
9393
def
nil
cons
nil
cons
cons
643
ref
subst
5102
ref
nil
139
ref
9363
remove
nil
cons
cons
nil
cons
nil
cons
cons
146
ref
subst
226
ref
5880
remove
5169
ref
appThm
appThm
618
remove
8095
ref
appThm
8096
ref
appThm
9323
ref
appThm
appThm
sym
620
remove
5248
ref
subst
eqMp
eqMp
absThm
eqMp
eqMp
absThm
eqMp
eqMp
absThm
eqMp
eqMp
absThm
eqMp
eqMp
absThm
eqMp
eqMp
absThm
eqMp
eqMp
absThm
eqMp
eqMp
absThm
eqMp
9394
def
nil
99
ref
9378
ref
appTerm
9395
def
thm
nil
262
ref
"wh"
11
ref
var
9396
def
99
ref
"wt"
2
ref
var
9397
def
68
ref
2291
ref
99
ref
2313
ref
68
ref
2343
ref
99
ref
2360
ref
68
ref
2445
ref
99
ref
2423
ref
36
ref
860
ref
1078
remove
242
ref
9396
ref
varTerm
9398
def
appTerm
9399
def
appTerm
9397
ref
varTerm
9400
def
appTerm
9401
def
appTerm
9402
def
2322
ref
appTerm
9403
def
2369
ref
appTerm
9404
def
2457
ref
appTerm
9405
def
appTerm
49
ref
5939
ref
9398
ref
appTerm
2292
ref
appTerm
2344
ref
appTerm
2446
ref
appTerm
9406
def
appTerm
860
ref
9400
ref
appTerm
2314
ref
appTerm
2361
ref
appTerm
2424
ref
appTerm
9407
def
appTerm
9408
def
appTerm
9409
def
absTerm
9410
def
appTerm
9411
def
absTerm
9412
def
appTerm
9413
def
absTerm
9414
def
appTerm
9415
def
absTerm
9416
def
appTerm
9417
def
absTerm
9418
def
appTerm
9419
def
absTerm
9420
def
appTerm
9421
def
absTerm
9422
def
appTerm
9423
def
absTerm
9424
def
nil
cons
cons
nil
cons
nil
cons
cons
663
ref
subst
9396
ref
nil
139
ref
9423
remove
nil
cons
cons
nil
cons
nil
cons
cons
146
ref
subst
nil
208
ref
9422
remove
nil
cons
cons
nil
cons
nil
cons
cons
643
ref
subst
9397
ref
nil
139
ref
9421
remove
nil
cons
cons
nil
cons
nil
cons
cons
146
ref
subst
nil
262
ref
9420
remove
nil
cons
cons
nil
cons
nil
cons
cons
663
ref
subst
2291
ref
nil
139
ref
9419
remove
nil
cons
cons
nil
cons
nil
cons
cons
146
ref
subst
nil
208
ref
9418
remove
nil
cons
cons
nil
cons
nil
cons
cons
643
ref
subst
2313
ref
nil
139
ref
9417
remove
nil
cons
cons
nil
cons
nil
cons
cons
146
ref
subst
nil
262
ref
9416
remove
nil
cons
cons
nil
cons
nil
cons
cons
663
ref
subst
2343
ref
nil
139
ref
9415
remove
nil
cons
cons
nil
cons
nil
cons
cons
146
ref
subst
nil
208
ref
9414
remove
nil
cons
cons
nil
cons
nil
cons
cons
643
ref
subst
2360
ref
nil
139
ref
9413
remove
nil
cons
cons
nil
cons
nil
cons
cons
146
ref
subst
nil
262
ref
9412
remove
nil
cons
cons
nil
cons
nil
cons
cons
663
ref
subst
2445
ref
nil
139
ref
9411
remove
nil
cons
cons
nil
cons
nil
cons
cons
146
ref
subst
nil
208
ref
9410
remove
nil
cons
cons
nil
cons
nil
cons
cons
643
ref
subst
2423
ref
nil
139
ref
9409
remove
nil
cons
cons
nil
cons
nil
cons
cons
146
ref
subst
nil
110
ref
9405
ref
nil
cons
9425
def
cons
111
ref
9408
ref
nil
cons
9426
def
cons
nil
cons
cons
nil
cons
cons
9427
def
335
ref
subst
9427
ref
126
ref
subst
9427
remove
194
ref
subst
857
ref
725
ref
29
ref
725
ref
26
ref
725
ref
542
ref
47
ref
66
ref
6776
ref
49
ref
72
ref
861
ref
appTerm
74
ref
appTerm
9428
def
9398
ref
appTerm
appTerm
4849
ref
appTerm
9429
def
appTerm
absTerm
appTerm
absTerm
appTerm
absTerm
appTerm
absTerm
appTerm
absTerm
9430
def
9401
ref
appTerm
betaConv
sym
29
ref
725
ref
26
ref
725
ref
542
ref
47
ref
66
ref
49
ref
9402
remove
39
ref
appTerm
41
ref
appTerm
547
ref
appTerm
9431
def
appTerm
9432
def
49
ref
72
remove
9401
ref
appTerm
74
ref
appTerm
9398
ref
appTerm
appTerm
9433
def
4849
remove
appTerm
9434
def
appTerm
absTerm
appTerm
absTerm
appTerm
absTerm
appTerm
absTerm
9435
def
2322
ref
appTerm
betaConv
sym
26
ref
725
ref
542
ref
47
ref
66
ref
49
ref
9403
remove
41
ref
appTerm
547
ref
appTerm
9436
def
appTerm
9437
def
9433
ref
4852
remove
appTerm
9438
def
appTerm
absTerm
appTerm
absTerm
appTerm
absTerm
9439
def
2369
ref
appTerm
betaConv
sym
542
ref
47
ref
66
ref
49
ref
9404
remove
547
ref
appTerm
9440
def
appTerm
9441
def
9433
ref
4856
remove
appTerm
9442
def
appTerm
absTerm
appTerm
absTerm
9443
def
2457
ref
appTerm
betaConv
sym
66
ref
49
ref
9405
ref
appTerm
9444
def
9433
remove
4859
remove
appTerm
9445
def
appTerm
absTerm
9446
def
220
ref
appTerm
betaConv
sym
216
ref
nil
139
ref
9425
ref
cons
nil
cons
nil
cons
cons
146
ref
subst
9405
ref
assume
eqMp
9447
def
appThm
9448
def
216
ref
nil
1170
remove
9398
ref
nil
cons
9449
def
cons
29
ref
9400
ref
nil
cons
9450
def
cons
9451
def
227
ref
9449
ref
cons
nil
cons
9452
def
cons
cons
nil
cons
cons
1330
remove
subst
nil
263
ref
9449
ref
cons
nil
cons
nil
cons
cons
1388
remove
subst
trans
appThm
4867
remove
appThm
528
ref
trans
9453
def
appThm
528
ref
trans
sym
145
ref
eqMp
eqMp
256
ref
257
ref
9446
remove
nil
cons
cons
1331
ref
cons
nil
cons
cons
724
ref
subst
proveHyp
eqMp
207
ref
208
ref
9443
remove
nil
cons
cons
2744
ref
cons
nil
cons
cons
724
ref
subst
proveHyp
eqMp
207
ref
208
ref
9439
remove
nil
cons
cons
3240
ref
cons
nil
cons
cons
724
ref
subst
proveHyp
eqMp
207
ref
208
ref
9435
remove
nil
cons
cons
3241
ref
cons
nil
cons
cons
724
ref
subst
proveHyp
eqMp
207
ref
208
ref
9430
ref
nil
cons
cons
29
ref
9401
ref
nil
cons
cons
nil
cons
9454
def
cons
nil
cons
cons
724
ref
subst
proveHyp
nil
110
ref
725
ref
9430
remove
appTerm
nil
cons
cons
111
ref
9406
remove
nil
cons
9455
def
cons
nil
cons
cons
nil
cons
cons
175
ref
subst
proveHyp
nil
4869
remove
3244
remove
3243
remove
"wi"
11
remove
var
9456
def
9449
remove
cons
nil
cons
cons
cons
cons
nil
cons
cons
9457
def
552
ref
71
ref
725
ref
857
ref
725
ref
29
ref
725
ref
26
ref
725
ref
542
ref
47
ref
66
ref
6776
ref
49
ref
9428
remove
9456
ref
varTerm
9458
def
appTerm
appTerm
559
remove
appTerm
9459
def
appTerm
9460
def
absTerm
9461
def
appTerm
9462
def
absTerm
9463
def
appTerm
9464
def
absTerm
9465
def
appTerm
9466
def
absTerm
9467
def
appTerm
9468
def
absTerm
9469
def
appTerm
9470
def
appTerm
9471
def
5939
remove
9458
ref
appTerm
76
ref
appTerm
81
ref
appTerm
556
ref
appTerm
9472
def
appTerm
9473
def
absTerm
9474
def
556
ref
appTerm
9475
def
betaConv
70
ref
68
ref
9474
ref
appTerm
9476
def
absTerm
9477
def
81
ref
appTerm
9478
def
betaConv
69
ref
68
ref
9477
ref
appTerm
9479
def
absTerm
9480
def
76
ref
appTerm
9481
def
betaConv
9456
ref
68
ref
9480
ref
appTerm
9482
def
absTerm
9483
def
9458
ref
appTerm
9484
def
betaConv
nil
208
ref
857
ref
99
ref
29
ref
99
ref
26
ref
99
ref
542
ref
65
ref
66
ref
68
ref
9456
ref
68
ref
69
ref
68
ref
70
ref
68
ref
552
ref
71
ref
9460
ref
appTerm
9472
ref
appTerm
9485
def
absTerm
9486
def
appTerm
9487
def
absTerm
9488
def
appTerm
9489
def
absTerm
9490
def
appTerm
9491
def
absTerm
9492
def
appTerm
9493
def
absTerm
9494
def
appTerm
9495
def
absTerm
9496
def
appTerm
9497
def
absTerm
9498
def
appTerm
9499
def
absTerm
9500
def
appTerm
9501
def
absTerm
9502
def
nil
cons
cons
9503
def
nil
cons
nil
cons
cons
643
ref
subst
857
ref
nil
139
ref
9501
remove
nil
cons
9504
def
cons
nil
cons
nil
cons
cons
146
ref
subst
nil
208
ref
9500
ref
nil
cons
cons
9505
def
nil
cons
nil
cons
cons
643
ref
subst
29
ref
nil
139
ref
9499
remove
nil
cons
9506
def
cons
nil
cons
nil
cons
cons
146
ref
subst
nil
208
ref
9498
ref
nil
cons
cons
9507
def
nil
cons
nil
cons
cons
643
ref
subst
26
ref
nil
139
ref
9497
remove
nil
cons
9508
def
cons
nil
cons
nil
cons
cons
146
ref
subst
nil
208
ref
9496
ref
nil
cons
cons
9509
def
nil
cons
nil
cons
cons
643
ref
subst
542
ref
nil
139
ref
9495
remove
nil
cons
9510
def
cons
nil
cons
nil
cons
cons
146
ref
subst
nil
257
ref
9494
ref
nil
cons
cons
9511
def
nil
cons
nil
cons
cons
662
ref
subst
66
ref
nil
139
ref
9493
remove
nil
cons
9512
def
cons
nil
cons
nil
cons
cons
146
ref
subst
nil
262
ref
9492
ref
nil
cons
cons
9513
def
nil
cons
nil
cons
cons
663
ref
subst
9456
ref
nil
139
ref
9491
remove
nil
cons
9514
def
cons
nil
cons
nil
cons
cons
146
ref
subst
nil
262
ref
9490
ref
nil
cons
cons
9515
def
nil
cons
nil
cons
cons
663
ref
subst
69
ref
nil
139
ref
9489
remove
nil
cons
9516
def
cons
nil
cons
nil
cons
cons
146
ref
subst
nil
262
ref
9488
ref
nil
cons
cons
9517
def
nil
cons
nil
cons
cons
663
ref
subst
70
ref
nil
139
ref
9487
remove
nil
cons
9518
def
cons
nil
cons
nil
cons
cons
146
ref
subst
nil
262
ref
9486
ref
nil
cons
cons
9519
def
nil
cons
nil
cons
cons
663
ref
subst
552
ref
nil
139
ref
9485
remove
nil
cons
cons
nil
cons
nil
cons
cons
146
ref
subst
226
ref
6776
ref
refl
216
ref
nil
227
ref
9458
ref
nil
cons
9520
def
cons
9521
def
886
ref
cons
nil
cons
cons
266
ref
subst
appThm
216
ref
231
remove
266
ref
subst
appThm
216
ref
3841
remove
266
ref
subst
appThm
5227
remove
266
remove
subst
appThm
appThm
appThm
9522
def
appThm
appThm
nil
2165
ref
597
remove
cons
5454
remove
823
remove
9521
remove
nil
cons
cons
cons
cons
nil
cons
cons
9523
def
2165
ref
5951
remove
5938
remove
appTerm
9524
def
absTerm
9525
def
2168
ref
appTerm
9526
def
betaConv
1001
ref
68
ref
9525
ref
appTerm
9527
def
absTerm
9528
def
1002
ref
appTerm
9529
def
betaConv
263
ref
68
ref
9528
ref
appTerm
9530
def
absTerm
9531
def
627
ref
appTerm
9532
def
betaConv
227
ref
68
ref
9531
ref
appTerm
9533
def
absTerm
9534
def
233
ref
appTerm
9535
def
betaConv
225
ref
227
ref
225
ref
263
ref
225
ref
1001
ref
225
ref
2165
ref
9524
remove
assume
sym
5941
remove
assume
sym
deductAntisym
absThm
appThm
absThm
appThm
absThm
appThm
absThm
appThm
6185
remove
eqMp
nil
110
ref
68
ref
9534
ref
appTerm
nil
cons
cons
111
ref
9535
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
175
ref
subst
proveHyp
261
ref
262
ref
9534
remove
nil
cons
cons
265
ref
cons
nil
cons
cons
205
ref
subst
eqMp
eqMp
nil
110
ref
9533
remove
nil
cons
cons
111
ref
9532
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
175
ref
subst
proveHyp
261
ref
262
ref
9531
remove
nil
cons
cons
3024
ref
cons
nil
cons
cons
205
ref
subst
eqMp
eqMp
nil
110
ref
9530
remove
nil
cons
cons
111
ref
9529
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
175
ref
subst
proveHyp
261
ref
262
ref
9528
remove
nil
cons
cons
2495
ref
cons
nil
cons
cons
205
ref
subst
eqMp
eqMp
nil
110
ref
9527
remove
nil
cons
cons
111
ref
9526
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
175
ref
subst
proveHyp
261
ref
262
ref
9525
remove
nil
cons
cons
5973
ref
cons
nil
cons
cons
205
ref
subst
eqMp
eqMp
9536
def
subst
appThm
sym
nil
110
ref
6776
ref
49
ref
235
ref
861
ref
appTerm
9537
def
74
ref
appTerm
9538
def
240
ref
appTerm
242
ref
9458
ref
appTerm
9539
def
appTerm
9540
def
appTerm
8753
remove
8756
remove
5066
remove
74
ref
appTerm
9541
def
240
ref
appTerm
242
remove
556
ref
appTerm
9542
def
appTerm
9543
def
appTerm
9544
def
appTerm
9545
def
appTerm
9546
def
appTerm
nil
cons
9547
def
cons
111
ref
860
ref
9539
ref
appTerm
8751
ref
appTerm
8754
ref
appTerm
9542
ref
appTerm
nil
cons
9548
def
cons
nil
cons
9549
def
cons
nil
cons
cons
9550
def
126
ref
subst
9550
remove
194
ref
subst
nil
6794
remove
153
ref
9546
ref
nil
cons
cons
nil
cons
9551
def
cons
nil
cons
cons
9552
def
167
ref
subst
9552
remove
334
ref
subst
nil
151
ref
9540
ref
nil
cons
9553
def
cons
153
ref
9545
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
9554
def
167
ref
subst
9555
def
9554
remove
334
ref
subst
9556
def
nil
151
ref
8752
ref
nil
cons
9557
def
cons
153
ref
9544
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
9558
def
167
ref
subst
9559
def
9558
remove
334
ref
subst
9560
def
nil
151
ref
8755
ref
nil
cons
9561
def
cons
153
ref
9543
ref
nil
cons
9562
def
cons
nil
cons
cons
nil
cons
cons
9563
def
167
ref
subst
9564
def
9563
remove
334
ref
subst
9565
def
857
ref
725
ref
29
ref
725
ref
26
ref
725
ref
542
ref
47
ref
271
ref
47
ref
48
ref
6776
ref
49
ref
9537
remove
275
ref
appTerm
57
ref
appTerm
9566
def
9539
ref
appTerm
appTerm
49
ref
699
ref
8751
ref
appTerm
appTerm
49
ref
1262
ref
8754
ref
appTerm
appTerm
5067
ref
9542
ref
appTerm
appTerm
appTerm
appTerm
9567
def
appTerm
absTerm
appTerm
absTerm
9568
def
appTerm
absTerm
9569
def
appTerm
absTerm
9570
def
appTerm
absTerm
9571
def
appTerm
absTerm
9572
def
861
ref
appTerm
betaConv
sym
9571
ref
39
ref
appTerm
betaConv
sym
9570
ref
41
ref
appTerm
betaConv
sym
9569
ref
547
ref
appTerm
betaConv
sym
9568
ref
74
ref
appTerm
betaConv
sym
48
ref
6776
ref
49
ref
9538
remove
57
ref
appTerm
9539
ref
appTerm
appTerm
49
ref
702
remove
8751
ref
appTerm
appTerm
49
ref
8771
remove
8754
ref
appTerm
appTerm
9541
remove
57
ref
appTerm
9542
ref
appTerm
appTerm
appTerm
appTerm
9573
def
appTerm
absTerm
9574
def
240
ref
appTerm
betaConv
sym
216
ref
6937
remove
appThm
216
ref
nil
139
ref
9553
remove
cons
nil
cons
nil
cons
cons
146
ref
subst
9540
remove
assume
eqMp
appThm
216
ref
nil
139
ref
9557
remove
cons
nil
cons
nil
cons
cons
146
ref
subst
8752
remove
assume
eqMp
appThm
216
ref
nil
139
ref
9561
remove
cons
nil
cons
nil
cons
cons
146
ref
subst
8755
remove
assume
eqMp
appThm
nil
139
ref
9562
remove
cons
nil
cons
nil
cons
cons
146
ref
subst
9543
remove
assume
eqMp
appThm
528
ref
trans
appThm
528
ref
trans
appThm
528
ref
trans
9575
def
appThm
528
ref
trans
sym
145
ref
eqMp
eqMp
256
ref
257
ref
9574
remove
nil
cons
cons
704
ref
cons
nil
cons
cons
724
ref
subst
proveHyp
eqMp
256
ref
257
ref
9568
remove
nil
cons
cons
260
ref
cons
nil
cons
cons
724
ref
subst
proveHyp
eqMp
207
ref
208
ref
9569
remove
nil
cons
cons
595
ref
cons
nil
cons
cons
724
ref
subst
proveHyp
eqMp
207
ref
208
ref
9570
remove
nil
cons
cons
213
ref
cons
nil
cons
cons
724
ref
subst
proveHyp
eqMp
207
ref
208
ref
9571
remove
nil
cons
cons
210
ref
cons
nil
cons
cons
724
ref
subst
proveHyp
eqMp
207
ref
208
ref
9572
ref
nil
cons
cons
886
ref
cons
nil
cons
cons
724
ref
subst
proveHyp
nil
110
ref
725
ref
9572
remove
appTerm
nil
cons
cons
9549
remove
cons
nil
cons
cons
175
ref
subst
proveHyp
nil
5102
ref
9542
ref
nil
cons
cons
3513
ref
8784
remove
cons
3515
ref
8783
remove
cons
"ws"
2
ref
var
9576
def
9539
ref
nil
cons
cons
nil
cons
cons
cons
cons
nil
cons
cons
9577
def
5102
ref
71
ref
725
ref
857
ref
725
ref
29
ref
725
ref
26
ref
725
ref
542
ref
47
ref
271
ref
47
ref
48
ref
6776
ref
49
ref
9566
ref
9576
ref
varTerm
9578
def
appTerm
9579
def
appTerm
9580
def
5108
ref
appTerm
9581
def
appTerm
9582
def
absTerm
9583
def
appTerm
9584
def
absTerm
9585
def
appTerm
9586
def
absTerm
9587
def
appTerm
9588
def
absTerm
9589
def
appTerm
9590
def
absTerm
9591
def
appTerm
9592
def
absTerm
9593
def
appTerm
9594
def
appTerm
9595
def
860
remove
9578
ref
appTerm
3518
ref
appTerm
3521
ref
appTerm
5105
ref
appTerm
9596
def
appTerm
9597
def
absTerm
9598
def
5105
ref
appTerm
9599
def
betaConv
3513
ref
99
ref
9598
ref
appTerm
9600
def
absTerm
9601
def
3521
ref
appTerm
9602
def
betaConv
3515
ref
99
ref
9601
ref
appTerm
9603
def
absTerm
9604
def
3518
ref
appTerm
9605
def
betaConv
9576
ref
99
ref
9604
ref
appTerm
9606
def
absTerm
9607
def
9578
ref
appTerm
9608
def
betaConv
nil
208
ref
857
ref
99
ref
29
ref
99
ref
26
ref
99
ref
542
ref
65
ref
271
ref
65
ref
48
ref
99
ref
9576
ref
99
ref
3515
ref
99
ref
3513
ref
99
ref
5102
ref
71
ref
9582
ref
appTerm
9596
ref
appTerm
9609
def
absTerm
9610
def
appTerm
9611
def
absTerm
9612
def
appTerm
9613
def
absTerm
9614
def
appTerm
9615
def
absTerm
9616
def
appTerm
9617
def
absTerm
9618
def
appTerm
9619
def
absTerm
9620
def
appTerm
9621
def
absTerm
9622
def
appTerm
9623
def
absTerm
9624
def
appTerm
9625
def
absTerm
9626
def
appTerm
9627
def
absTerm
9628
def
nil
cons
cons
9629
def
nil
cons
nil
cons
cons
643
ref
subst
857
ref
nil
139
ref
9627
remove
nil
cons
9630
def
cons
nil
cons
nil
cons
cons
146
ref
subst
nil
208
ref
9626
ref
nil
cons
cons
9631
def
nil
cons
nil
cons
cons
643
ref
subst
29
ref
nil
139
ref
9625
remove
nil
cons
9632
def
cons
nil
cons
nil
cons
cons
146
ref
subst
nil
208
ref
9624
ref
nil
cons
cons
9633
def
nil
cons
nil
cons
cons
643
ref
subst
26
ref
nil
139
ref
9623
remove
nil
cons
9634
def
cons
nil
cons
nil
cons
cons
146
ref
subst
nil
208
ref
9622
ref
nil
cons
cons
9635
def
nil
cons
nil
cons
cons
643
ref
subst
542
ref
nil
139
ref
9621
remove
nil
cons
9636
def
cons
nil
cons
nil
cons
cons
146
ref
subst
nil
257
ref
9620
ref
nil
cons
cons
9637
def
nil
cons
nil
cons
cons
662
ref
subst
271
ref
nil
139
ref
9619
remove
nil
cons
9638
def
cons
nil
cons
nil
cons
cons
146
ref
subst
nil
257
ref
9618
ref
nil
cons
cons
9639
def
nil
cons
nil
cons
cons
662
ref
subst
48
ref
nil
139
ref
9617
remove
nil
cons
9640
def
cons
nil
cons
nil
cons
cons
146
ref
subst
nil
208
ref
9616
ref
nil
cons
cons
9641
def
nil
cons
nil
cons
cons
643
ref
subst
9576
ref
nil
139
ref
9615
remove
nil
cons
9642
def
cons
nil
cons
nil
cons
cons
146
ref
subst
nil
208
ref
9614
ref
nil
cons
cons
9643
def
nil
cons
nil
cons
cons
643
ref
subst
3515
ref
nil
139
ref
9613
remove
nil
cons
9644
def
cons
nil
cons
nil
cons
cons
146
ref
subst
nil
208
ref
9612
ref
nil
cons
cons
9645
def
nil
cons
nil
cons
cons
643
ref
subst
3513
ref
nil
139
ref
9611
remove
nil
cons
9646
def
cons
nil
cons
nil
cons
cons
146
ref
subst
nil
208
ref
9610
ref
nil
cons
cons
9647
def
nil
cons
nil
cons
cons
643
ref
subst
5102
ref
nil
139
ref
9609
remove
nil
cons
cons
nil
cons
nil
cons
cons
146
ref
subst
226
ref
216
ref
887
ref
appThm
9581
ref
refl
9648
def
appThm
appThm
nil
5171
remove
3573
remove
3575
remove
857
ref
9578
ref
nil
cons
9649
def
cons
nil
cons
cons
cons
cons
nil
cons
cons
9650
def
887
remove
subst
appThm
sym
nil
110
ref
49
ref
873
ref
appTerm
9581
ref
appTerm
nil
cons
9651
def
cons
111
ref
725
ref
863
ref
49
ref
532
ref
9578
ref
appTerm
9652
def
3518
ref
appTerm
9653
def
866
ref
appTerm
appTerm
9654
def
869
remove
3521
ref
appTerm
5105
ref
appTerm
appTerm
absTerm
9655
def
appTerm
9656
def
nil
cons
9657
def
cons
nil
cons
9658
def
cons
nil
cons
cons
9659
def
126
ref
subst
9659
remove
194
ref
subst
nil
151
ref
873
remove
nil
cons
9660
def
cons
153
ref
9581
ref
nil
cons
cons
nil
cons
9661
def
cons
nil
cons
cons
9662
def
167
ref
subst
9662
remove
334
ref
subst
nil
110
ref
9660
remove
cons
9658
ref
cons
nil
cons
cons
175
ref
subst
nil
208
ref
863
ref
6809
remove
9656
ref
appTerm
9663
def
absTerm
nil
cons
cons
nil
cons
nil
cons
cons
643
ref
subst
863
ref
nil
139
ref
9663
remove
nil
cons
cons
nil
cons
nil
cons
cons
146
ref
subst
nil
6812
remove
9658
ref
cons
nil
cons
cons
9664
def
126
ref
subst
9664
remove
194
ref
subst
6817
remove
nil
6819
remove
9658
ref
cons
nil
cons
cons
9665
def
175
ref
subst
proveHyp
9665
ref
126
ref
subst
9665
remove
194
ref
subst
6825
remove
6826
remove
nil
151
ref
9579
ref
nil
cons
9666
def
cons
5193
remove
cons
nil
cons
cons
9667
def
167
ref
subst
9668
def
9667
remove
334
ref
subst
9669
def
5205
ref
5206
ref
5209
ref
5210
ref
48
ref
71
ref
1800
ref
6851
ref
appTerm
9670
def
appTerm
725
ref
26
ref
235
ref
866
ref
appTerm
275
ref
appTerm
57
ref
appTerm
9671
def
41
ref
appTerm
absTerm
9672
def
appTerm
9673
def
appTerm
9674
def
absTerm
9675
def
57
ref
appTerm
9676
def
betaConv
271
ref
65
ref
9675
ref
appTerm
9677
def
absTerm
9678
def
275
ref
appTerm
9679
def
betaConv
2087
ref
866
ref
appTerm
9680
def
betaConv
2090
ref
nil
2091
ref
111
ref
9680
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
175
ref
subst
proveHyp
207
ref
2092
ref
6850
ref
cons
nil
cons
cons
205
ref
subst
eqMp
eqMp
nil
110
ref
65
ref
9678
ref
appTerm
nil
cons
cons
111
ref
9679
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
175
ref
subst
proveHyp
256
ref
257
ref
9678
remove
nil
cons
cons
291
ref
cons
nil
cons
cons
205
ref
subst
eqMp
eqMp
nil
110
ref
9677
remove
nil
cons
cons
111
ref
9676
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
175
ref
subst
proveHyp
256
ref
257
ref
9675
remove
nil
cons
cons
293
ref
cons
nil
cons
cons
205
ref
subst
eqMp
eqMp
9681
def
nil
110
ref
9674
ref
nil
cons
cons
9682
def
9658
ref
cons
nil
cons
cons
175
ref
subst
proveHyp
48
ref
71
ref
868
ref
6779
ref
appTerm
appTerm
6853
ref
appTerm
absTerm
9683
def
6777
ref
appTerm
9684
def
betaConv
542
ref
65
ref
48
ref
71
ref
49
ref
6827
remove
appTerm
9685
def
6779
ref
appTerm
appTerm
550
ref
appTerm
absTerm
appTerm
absTerm
9686
def
866
ref
appTerm
9687
def
betaConv
26
ref
99
ref
542
ref
65
ref
48
ref
71
ref
49
ref
6831
remove
appTerm
9688
def
6779
ref
appTerm
appTerm
550
ref
appTerm
absTerm
appTerm
absTerm
9689
def
appTerm
9690
def
absTerm
9691
def
39
ref
appTerm
9692
def
betaConv
5795
remove
861
ref
appTerm
9693
def
betaConv
5841
remove
nil
6025
remove
111
ref
9693
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
175
ref
subst
proveHyp
207
ref
5796
remove
886
ref
cons
nil
cons
cons
205
ref
subst
eqMp
eqMp
9694
def
nil
110
ref
99
ref
9691
ref
appTerm
nil
cons
cons
9695
def
111
ref
9692
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
175
ref
subst
proveHyp
207
ref
208
ref
9691
ref
nil
cons
cons
9696
def
210
ref
cons
nil
cons
cons
205
ref
subst
eqMp
eqMp
nil
110
ref
99
ref
9686
ref
appTerm
nil
cons
cons
111
ref
9687
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
175
ref
subst
proveHyp
207
ref
208
ref
9686
remove
nil
cons
cons
6850
ref
cons
nil
cons
cons
205
ref
subst
eqMp
eqMp
nil
110
ref
65
ref
9683
ref
appTerm
nil
cons
cons
111
ref
9684
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
175
ref
subst
proveHyp
256
ref
257
ref
9683
remove
nil
cons
cons
7115
ref
cons
nil
cons
cons
205
ref
subst
eqMp
eqMp
nil
110
ref
71
ref
868
ref
7110
ref
appTerm
appTerm
7360
ref
appTerm
nil
cons
cons
111
ref
9670
ref
nil
cons
9697
def
cons
nil
cons
9698
def
cons
nil
cons
cons
175
ref
subst
proveHyp
226
ref
226
ref
7359
remove
appThm
7360
ref
refl
9699
def
appThm
nil
139
ref
7361
ref
cons
nil
cons
nil
cons
cons
840
ref
subst
9700
def
trans
appThm
9670
ref
refl
9701
def
appThm
sym
nil
110
ref
7361
ref
cons
9698
ref
cons
nil
cons
cons
9702
def
126
ref
subst
9702
remove
194
ref
subst
36
ref
"_32172"
44
ref
var
9703
def
1800
ref
9703
remove
varTerm
appTerm
absTerm
9704
def
6851
remove
appTerm
9705
def
appTerm
refl
9704
ref
6777
ref
appTerm
betaConv
9706
def
appThm
155
ref
9705
remove
betaConv
appThm
1800
ref
6777
ref
appTerm
9707
def
refl
9708
def
appThm
trans
9704
remove
refl
9709
def
7365
remove
appThm
eqMp
sym
26
ref
9566
ref
41
ref
appTerm
absTerm
9710
def
9578
ref
appTerm
betaConv
sym
9579
remove
assume
9711
def
eqMp
207
ref
208
ref
9710
ref
nil
cons
cons
29
ref
9649
ref
cons
nil
cons
9712
def
cons
nil
cons
cons
724
ref
subst
proveHyp
nil
110
ref
725
ref
9710
remove
appTerm
nil
cons
cons
111
ref
9707
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
175
ref
subst
proveHyp
nil
886
ref
nil
cons
cons
2066
ref
subst
eqMp
9713
def
eqMp
eqMp
nil
151
ref
7361
remove
cons
153
ref
9697
ref
cons
nil
cons
cons
nil
cons
cons
167
ref
subst
deductAntisym
eqMp
9714
def
eqMp
eqMp
9715
def
nil
110
ref
9697
remove
cons
9716
def
111
ref
71
ref
9673
ref
appTerm
9717
def
9656
ref
appTerm
9718
def
nil
cons
cons
nil
cons
9719
def
cons
nil
cons
cons
194
ref
subst
proveHyp
nil
208
ref
"wxs"
2
ref
var
9720
def
71
ref
9672
ref
9720
ref
varTerm
9721
def
appTerm
9722
def
appTerm
9723
def
9656
ref
appTerm
9724
def
absTerm
nil
cons
cons
nil
cons
nil
cons
cons
643
ref
subst
9720
ref
nil
139
ref
9724
remove
nil
cons
cons
nil
cons
nil
cons
cons
146
ref
subst
nil
110
ref
9722
ref
nil
cons
9725
def
cons
9726
def
9658
ref
cons
nil
cons
cons
9727
def
126
ref
subst
9727
remove
194
ref
subst
9722
ref
betaConv
9722
remove
assume
eqMp
9728
def
nil
110
ref
9671
remove
9721
ref
appTerm
9729
def
nil
cons
9730
def
cons
9731
def
9658
remove
cons
nil
cons
cons
9732
def
175
ref
subst
proveHyp
9732
ref
126
ref
subst
9732
remove
194
ref
subst
9655
ref
9721
ref
appTerm
betaConv
sym
29
ref
725
ref
26
ref
725
ref
542
ref
47
ref
271
ref
47
ref
48
ref
5786
ref
49
ref
699
ref
9578
ref
appTerm
appTerm
9733
def
49
ref
1262
ref
3518
ref
appTerm
appTerm
5067
ref
9721
ref
appTerm
9734
def
appTerm
9735
def
appTerm
9736
def
appTerm
absTerm
appTerm
absTerm
appTerm
absTerm
appTerm
absTerm
appTerm
absTerm
9737
def
861
ref
appTerm
betaConv
sym
26
ref
725
ref
542
ref
47
ref
271
ref
47
ref
48
ref
9688
ref
9580
ref
9735
remove
appTerm
9738
def
appTerm
absTerm
appTerm
absTerm
appTerm
absTerm
appTerm
absTerm
9739
def
39
ref
appTerm
betaConv
sym
542
ref
47
ref
271
ref
47
ref
48
ref
9685
remove
9580
ref
3520
ref
9734
remove
appTerm
appTerm
9740
def
appTerm
absTerm
appTerm
absTerm
appTerm
absTerm
9741
def
866
ref
appTerm
betaConv
sym
271
ref
47
ref
48
ref
868
remove
9580
ref
3520
ref
9729
ref
appTerm
appTerm
9742
def
appTerm
absTerm
9743
def
appTerm
absTerm
9744
def
275
ref
appTerm
betaConv
sym
9743
ref
57
ref
appTerm
betaConv
sym
7358
remove
216
ref
nil
139
ref
9666
remove
cons
nil
cons
nil
cons
cons
146
ref
subst
9711
remove
eqMp
appThm
9745
def
3682
ref
nil
139
ref
9730
ref
cons
nil
cons
nil
cons
cons
146
ref
subst
9729
ref
assume
eqMp
9746
def
appThm
528
ref
trans
appThm
528
ref
trans
9747
def
appThm
528
ref
trans
sym
145
ref
eqMp
eqMp
256
ref
257
ref
9743
remove
nil
cons
cons
293
ref
cons
nil
cons
cons
724
ref
subst
proveHyp
eqMp
256
ref
257
ref
9744
remove
nil
cons
cons
291
ref
cons
nil
cons
cons
724
ref
subst
proveHyp
eqMp
207
ref
208
ref
9741
remove
nil
cons
cons
6850
ref
cons
nil
cons
cons
724
ref
subst
proveHyp
eqMp
207
ref
208
ref
9739
remove
nil
cons
cons
210
ref
cons
nil
cons
cons
724
ref
subst
proveHyp
eqMp
207
ref
208
ref
9737
ref
nil
cons
cons
886
ref
cons
nil
cons
cons
724
ref
subst
proveHyp
nil
110
ref
725
ref
9737
remove
appTerm
nil
cons
cons
111
ref
9653
remove
9721
ref
appTerm
9748
def
nil
cons
9749
def
cons
nil
cons
cons
nil
cons
cons
175
ref
subst
proveHyp
nil
5102
ref
9721
ref
nil
cons
9750
def
cons
3513
ref
3574
remove
cons
3515
ref
9649
remove
cons
nil
cons
9751
def
cons
cons
nil
cons
cons
9752
def
5102
ref
71
ref
725
ref
29
ref
725
ref
26
ref
725
ref
542
ref
47
ref
271
ref
47
ref
48
ref
9289
ref
absTerm
9753
def
appTerm
9754
def
absTerm
9755
def
appTerm
9756
def
absTerm
9757
def
appTerm
9758
def
absTerm
9759
def
appTerm
9760
def
absTerm
9761
def
appTerm
9762
def
appTerm
9763
def
9291
ref
appTerm
9764
def
absTerm
9765
def
5105
ref
appTerm
9766
def
betaConv
3513
ref
99
ref
9765
ref
appTerm
9767
def
absTerm
9768
def
3521
ref
appTerm
9769
def
betaConv
3515
ref
99
ref
9768
ref
appTerm
9770
def
absTerm
9771
def
3518
ref
appTerm
9772
def
betaConv
9324
remove
nil
110
ref
9325
ref
nil
cons
9773
def
cons
9774
def
111
ref
99
ref
9771
ref
appTerm
nil
cons
9775
def
cons
nil
cons
cons
nil
cons
cons
9776
def
175
ref
subst
proveHyp
9776
ref
126
ref
subst
9776
remove
194
ref
subst
nil
208
ref
9771
remove
nil
cons
cons
9777
def
nil
cons
nil
cons
cons
643
ref
subst
3515
ref
nil
139
ref
9770
remove
nil
cons
9778
def
cons
nil
cons
nil
cons
cons
146
ref
subst
nil
208
ref
9768
remove
nil
cons
cons
9779
def
nil
cons
nil
cons
cons
643
ref
subst
3513
ref
nil
139
ref
9767
remove
nil
cons
9780
def
cons
nil
cons
nil
cons
cons
146
ref
subst
nil
208
ref
9765
remove
nil
cons
cons
9781
def
nil
cons
nil
cons
cons
643
ref
subst
5102
ref
nil
139
ref
9764
remove
nil
cons
cons
nil
cons
nil
cons
cons
146
ref
subst
nil
110
ref
9762
remove
nil
cons
9782
def
cons
9783
def
111
ref
9291
ref
nil
cons
9784
def
cons
nil
cons
9785
def
cons
nil
cons
cons
9786
def
126
ref
subst
9786
remove
194
ref
subst
nil
9774
ref
9785
ref
cons
nil
cons
cons
9787
def
175
ref
subst
nil
9783
remove
111
ref
71
ref
9325
remove
appTerm
9291
remove
appTerm
9788
def
nil
cons
9789
def
cons
nil
cons
9790
def
cons
nil
cons
cons
175
ref
subst
nil
208
ref
29
ref
71
ref
9761
ref
39
ref
appTerm
9791
def
appTerm
9788
ref
appTerm
9792
def
absTerm
9793
def
nil
cons
cons
nil
cons
nil
cons
cons
643
ref
subst
29
ref
nil
139
ref
9792
remove
nil
cons
cons
nil
cons
nil
cons
cons
146
ref
subst
nil
110
ref
9791
ref
nil
cons
9794
def
cons
9790
ref
cons
nil
cons
cons
9795
def
126
ref
subst
9795
remove
194
ref
subst
9791
ref
betaConv
9791
remove
assume
eqMp
nil
110
ref
9760
ref
nil
cons
cons
9790
ref
cons
nil
cons
cons
175
ref
subst
proveHyp
nil
208
ref
26
ref
71
ref
9759
ref
41
ref
appTerm
9796
def
appTerm
9788
ref
appTerm
9797
def
absTerm
nil
cons
cons
nil
cons
nil
cons
cons
643
ref
subst
26
ref
nil
139
ref
9797
remove
nil
cons
cons
nil
cons
nil
cons
cons
146
ref
subst
nil
110
ref
9796
ref
nil
cons
9798
def
cons
9790
ref
cons
nil
cons
cons
9799
def
126
ref
subst
9799
remove
194
ref
subst
9796
ref
betaConv
9796
remove
assume
eqMp
nil
110
ref
9758
ref
nil
cons
cons
9790
ref
cons
nil
cons
cons
175
ref
subst
proveHyp
nil
208
ref
542
ref
71
ref
9757
ref
547
ref
appTerm
9800
def
appTerm
9788
ref
appTerm
9801
def
absTerm
nil
cons
cons
nil
cons
nil
cons
cons
643
ref
subst
542
ref
nil
139
ref
9801
remove
nil
cons
cons
nil
cons
nil
cons
cons
146
ref
subst
nil
110
ref
9800
ref
nil
cons
9802
def
cons
9790
ref
cons
nil
cons
cons
9803
def
126
ref
subst
9803
remove
194
ref
subst
9800
ref
betaConv
9800
remove
assume
eqMp
nil
110
ref
9756
ref
nil
cons
cons
9790
ref
cons
nil
cons
cons
175
ref
subst
proveHyp
nil
257
ref
271
ref
71
ref
9755
ref
275
ref
appTerm
9804
def
appTerm
9788
ref
appTerm
9805
def
absTerm
nil
cons
cons
nil
cons
nil
cons
cons
662
ref
subst
271
ref
nil
139
ref
9805
remove
nil
cons
cons
nil
cons
nil
cons
cons
146
ref
subst
nil
110
ref
9804
ref
nil
cons
9806
def
cons
9790
ref
cons
nil
cons
cons
9807
def
126
ref
subst
9807
remove
194
ref
subst
9804
ref
betaConv
9804
remove
assume
eqMp
nil
110
ref
9754
ref
nil
cons
cons
9790
ref
cons
nil
cons
cons
175
ref
subst
proveHyp
nil
257
ref
48
ref
71
ref
9753
ref
57
ref
appTerm
9808
def
appTerm
9788
ref
appTerm
9809
def
absTerm
nil
cons
cons
nil
cons
nil
cons
cons
662
ref
subst
48
ref
nil
139
ref
9809
remove
nil
cons
cons
nil
cons
nil
cons
cons
146
ref
subst
nil
110
ref
9808
ref
nil
cons
9810
def
cons
9790
ref
cons
nil
cons
cons
9811
def
126
ref
subst
9811
remove
194
ref
subst
9808
ref
betaConv
9808
remove
assume
eqMp
nil
110
ref
9289
remove
nil
cons
9812
def
cons
9813
def
9790
remove
cons
nil
cons
cons
9814
def
175
ref
subst
proveHyp
9814
ref
126
ref
subst
9814
remove
194
ref
subst
9787
ref
126
ref
subst
9787
remove
194
ref
subst
nil
9813
remove
9785
remove
cons
nil
cons
cons
175
ref
subst
9293
remove
5105
ref
appTerm
9815
def
betaConv
9295
remove
3521
ref
appTerm
9816
def
betaConv
9297
remove
3518
ref
appTerm
9817
def
betaConv
9299
remove
57
ref
appTerm
9818
def
betaConv
9301
remove
275
ref
appTerm
9819
def
betaConv
9303
remove
547
ref
appTerm
9820
def
betaConv
9305
remove
41
ref
appTerm
9821
def
betaConv
9307
remove
39
ref
appTerm
9822
def
betaConv
nil
9774
remove
111
ref
9822
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
175
ref
subst
207
ref
9308
remove
210
ref
cons
nil
cons
cons
205
ref
subst
eqMp
eqMp
nil
110
ref
9309
remove
cons
111
ref
9821
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
175
ref
subst
proveHyp
207
ref
9310
remove
213
ref
cons
nil
cons
cons
205
ref
subst
eqMp
eqMp
nil
110
ref
9311
remove
cons
111
ref
9820
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
175
ref
subst
proveHyp
207
ref
9312
remove
595
ref
cons
nil
cons
cons
205
ref
subst
eqMp
eqMp
nil
110
ref
9313
remove
cons
111
ref
9819
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
175
ref
subst
proveHyp
256
ref
9314
remove
291
ref
cons
nil
cons
cons
205
ref
subst
eqMp
eqMp
nil
110
ref
9315
remove
cons
111
ref
9818
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
175
ref
subst
proveHyp
256
ref
9316
remove
293
ref
cons
nil
cons
cons
205
ref
subst
eqMp
eqMp
nil
110
ref
9317
remove
cons
111
ref
9817
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
175
ref
subst
proveHyp
207
ref
9318
remove
3576
ref
cons
nil
cons
cons
205
ref
subst
eqMp
eqMp
nil
110
ref
9319
remove
cons
111
ref
9816
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
175
ref
subst
proveHyp
207
ref
9320
remove
3840
ref
cons
nil
cons
cons
205
ref
subst
eqMp
eqMp
nil
110
ref
9321
remove
cons
111
ref
9815
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
175
ref
subst
proveHyp
207
ref
9322
remove
5226
ref
cons
nil
cons
cons
205
ref
subst
eqMp
eqMp
eqMp
eqMp
nil
151
ref
9773
remove
cons
9823
def
153
ref
9784
remove
cons
nil
cons
9824
def
cons
nil
cons
cons
167
ref
subst
deductAntisym
eqMp
eqMp
nil
151
ref
9812
remove
cons
153
ref
9789
remove
cons
nil
cons
9825
def
cons
nil
cons
cons
167
ref
subst
deductAntisym
eqMp
eqMp
eqMp
nil
151
ref
9810
remove
cons
9825
ref
cons
nil
cons
cons
167
ref
subst
deductAntisym
eqMp
eqMp
absThm
eqMp
nil
110
ref
65
ref
258
ref
71
ref
9753
ref
797
ref
appTerm
appTerm
9788
ref
appTerm
absTerm
appTerm
nil
cons
cons
111
ref
71
ref
9754
remove
appTerm
9788
ref
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
175
ref
subst
proveHyp
256
ref
257
ref
9753
remove
nil
cons
cons
9825
ref
cons
nil
cons
cons
811
ref
subst
eqMp
eqMp
eqMp
nil
151
ref
9806
remove
cons
9825
ref
cons
nil
cons
cons
167
ref
subst
deductAntisym
eqMp
eqMp
absThm
eqMp
nil
110
ref
65
ref
258
ref
71
ref
9755
ref
797
ref
appTerm
appTerm
9788
ref
appTerm
absTerm
appTerm
nil
cons
cons
111
ref
71
ref
9756
remove
appTerm
9788
ref
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
175
ref
subst
proveHyp
256
ref
257
ref
9755
remove
nil
cons
cons
9825
ref
cons
nil
cons
cons
811
ref
subst
eqMp
eqMp
eqMp
nil
151
ref
9802
remove
cons
9825
ref
cons
nil
cons
cons
167
ref
subst
deductAntisym
eqMp
eqMp
absThm
eqMp
nil
110
ref
99
ref
1892
ref
71
ref
9757
ref
1893
ref
appTerm
appTerm
9788
ref
appTerm
absTerm
appTerm
nil
cons
cons
111
ref
71
ref
9758
remove
appTerm
9788
ref
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
175
ref
subst
proveHyp
207
ref
208
ref
9757
remove
nil
cons
cons
9825
ref
cons
nil
cons
cons
811
ref
subst
eqMp
eqMp
eqMp
nil
151
ref
9798
remove
cons
9825
ref
cons
nil
cons
cons
167
ref
subst
deductAntisym
eqMp
eqMp
absThm
eqMp
nil
110
ref
99
ref
1892
ref
71
ref
9759
ref
1893
ref
appTerm
appTerm
9788
ref
appTerm
absTerm
appTerm
nil
cons
cons
111
ref
71
ref
9760
remove
appTerm
9788
ref
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
175
ref
subst
proveHyp
207
ref
208
ref
9759
remove
nil
cons
cons
9825
ref
cons
nil
cons
cons
811
ref
subst
eqMp
eqMp
eqMp
nil
151
ref
9794
remove
cons
9825
ref
cons
nil
cons
cons
167
ref
subst
deductAntisym
eqMp
eqMp
absThm
eqMp
nil
110
ref
99
ref
9793
remove
appTerm
nil
cons
cons
111
ref
9763
remove
9788
remove
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
175
ref
subst
proveHyp
207
ref
208
ref
9761
remove
nil
cons
cons
9825
remove
cons
nil
cons
cons
811
ref
subst
eqMp
eqMp
eqMp
eqMp
nil
151
ref
9782
remove
cons
9824
remove
cons
nil
cons
cons
167
ref
subst
deductAntisym
eqMp
eqMp
absThm
eqMp
eqMp
absThm
eqMp
eqMp
absThm
eqMp
eqMp
nil
9823
remove
153
ref
9775
ref
cons
nil
cons
cons
nil
cons
cons
167
ref
subst
deductAntisym
eqMp
eqMp
nil
110
ref
9775
remove
cons
111
ref
9772
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
175
ref
subst
proveHyp
207
ref
9777
remove
3576
ref
cons
nil
cons
cons
205
ref
subst
eqMp
eqMp
nil
110
ref
9778
remove
cons
111
ref
9769
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
175
ref
subst
proveHyp
207
ref
9779
remove
3840
ref
cons
nil
cons
cons
205
ref
subst
eqMp
eqMp
nil
110
ref
9780
remove
cons
111
ref
9766
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
175
ref
subst
proveHyp
207
ref
9781
remove
5226
ref
cons
nil
cons
cons
205
ref
subst
eqMp
eqMp
9826
def
subst
eqMp
9827
def
nil
110
ref
9749
remove
cons
9828
def
111
ref
532
remove
9721
ref
appTerm
3521
ref
appTerm
5105
ref
appTerm
nil
cons
cons
nil
cons
9829
def
cons
nil
cons
cons
194
ref
subst
proveHyp
29
ref
725
ref
26
ref
725
ref
542
ref
47
ref
271
ref
47
ref
48
ref
5786
ref
49
ref
699
ref
9721
ref
appTerm
appTerm
5107
ref
appTerm
9830
def
appTerm
absTerm
appTerm
absTerm
appTerm
absTerm
appTerm
absTerm
appTerm
absTerm
9831
def
866
ref
appTerm
betaConv
sym
26
ref
725
ref
542
ref
47
ref
271
ref
47
ref
48
ref
49
ref
870
remove
appTerm
49
ref
9729
remove
appTerm
9832
def
5107
remove
appTerm
9833
def
appTerm
absTerm
9834
def
appTerm
absTerm
9835
def
appTerm
absTerm
9836
def
appTerm
absTerm
9837
def
41
ref
appTerm
betaConv
sym
9836
ref
547
ref
appTerm
betaConv
sym
9835
ref
275
ref
appTerm
betaConv
sym
9834
ref
57
ref
appTerm
betaConv
sym
216
ref
6906
remove
appThm
216
ref
9746
remove
appThm
9838
def
3839
ref
5225
ref
appThm
528
ref
trans
appThm
528
ref
trans
9839
def
appThm
528
ref
trans
sym
145
ref
eqMp
eqMp
256
ref
257
ref
9834
remove
nil
cons
cons
293
ref
cons
nil
cons
cons
724
ref
subst
proveHyp
eqMp
256
ref
257
ref
9835
remove
nil
cons
cons
291
ref
cons
nil
cons
cons
724
ref
subst
proveHyp
eqMp
207
ref
208
ref
9836
remove
nil
cons
cons
595
ref
cons
nil
cons
cons
724
ref
subst
proveHyp
eqMp
207
ref
208
ref
9837
remove
nil
cons
cons
213
ref
cons
nil
cons
cons
724
ref
subst
proveHyp
eqMp
207
ref
208
ref
9831
ref
nil
cons
cons
6850
ref
cons
nil
cons
cons
724
ref
subst
proveHyp
nil
110
ref
725
ref
9831
remove
appTerm
nil
cons
cons
9829
remove
cons
nil
cons
cons
175
ref
subst
proveHyp
nil
3515
ref
9750
ref
cons
nil
cons
nil
cons
cons
9840
def
9826
ref
subst
eqMp
eqMp
eqMp
207
ref
208
ref
9655
remove
nil
cons
cons
29
ref
9750
ref
cons
nil
cons
9841
def
cons
nil
cons
cons
724
ref
subst
proveHyp
eqMp
nil
151
ref
9730
remove
cons
9842
def
153
ref
9657
ref
cons
nil
cons
9843
def
cons
nil
cons
cons
167
ref
subst
deductAntisym
eqMp
eqMp
eqMp
nil
151
ref
9725
remove
cons
9844
def
9843
ref
cons
nil
cons
cons
167
ref
subst
deductAntisym
eqMp
eqMp
absThm
eqMp
nil
110
ref
99
ref
29
ref
71
ref
9672
ref
39
ref
appTerm
appTerm
9845
def
9656
ref
appTerm
absTerm
appTerm
nil
cons
cons
9719
remove
cons
nil
cons
cons
175
ref
subst
proveHyp
207
ref
208
ref
9672
remove
nil
cons
cons
9846
def
9843
ref
cons
nil
cons
cons
811
ref
subst
eqMp
eqMp
nil
110
ref
49
ref
9670
remove
appTerm
9847
def
9718
remove
appTerm
nil
cons
cons
111
ref
71
ref
9674
remove
appTerm
9848
def
9656
ref
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
175
ref
subst
proveHyp
nil
1340
ref
9657
remove
cons
111
ref
9673
remove
nil
cons
cons
9716
ref
nil
cons
cons
9849
def
cons
nil
cons
cons
4271
ref
subst
eqMp
eqMp
proveHyp
proveHyp
proveHyp
proveHyp
proveHyp
proveHyp
proveHyp
proveHyp
eqMp
nil
6927
remove
9843
ref
cons
nil
cons
cons
167
ref
subst
deductAntisym
eqMp
eqMp
eqMp
nil
6928
remove
9843
ref
cons
nil
cons
cons
167
ref
subst
deductAntisym
eqMp
eqMp
absThm
eqMp
nil
110
ref
99
ref
1892
ref
6929
remove
9656
ref
appTerm
absTerm
appTerm
nil
cons
cons
111
ref
6930
remove
9656
remove
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
175
ref
subst
proveHyp
207
ref
6931
remove
9843
ref
cons
nil
cons
cons
811
ref
subst
eqMp
eqMp
proveHyp
proveHyp
eqMp
nil
151
ref
9651
remove
cons
9843
remove
cons
nil
cons
cons
167
ref
subst
deductAntisym
eqMp
eqMp
eqMp
absThm
eqMp
eqMp
absThm
eqMp
eqMp
absThm
eqMp
eqMp
absThm
eqMp
eqMp
absThm
eqMp
eqMp
absThm
eqMp
eqMp
absThm
eqMp
eqMp
absThm
eqMp
eqMp
absThm
eqMp
eqMp
absThm
eqMp
9850
def
nil
110
ref
99
ref
9628
ref
appTerm
9851
def
nil
cons
9852
def
cons
9853
def
111
ref
99
ref
9607
ref
appTerm
nil
cons
9854
def
cons
nil
cons
cons
nil
cons
cons
9855
def
175
ref
subst
proveHyp
9855
ref
126
ref
subst
9855
remove
194
ref
subst
nil
208
ref
9607
remove
nil
cons
cons
9856
def
nil
cons
nil
cons
cons
643
ref
subst
9576
ref
nil
139
ref
9606
remove
nil
cons
9857
def
cons
nil
cons
nil
cons
cons
146
ref
subst
nil
208
ref
9604
remove
nil
cons
cons
9858
def
nil
cons
nil
cons
cons
643
ref
subst
3515
ref
nil
139
ref
9603
remove
nil
cons
9859
def
cons
nil
cons
nil
cons
cons
146
ref
subst
nil
208
ref
9601
remove
nil
cons
cons
9860
def
nil
cons
nil
cons
cons
643
ref
subst
3513
ref
nil
139
ref
9600
remove
nil
cons
9861
def
cons
nil
cons
nil
cons
cons
146
ref
subst
nil
208
ref
9598
remove
nil
cons
cons
9862
def
nil
cons
nil
cons
cons
643
ref
subst
5102
ref
nil
139
ref
9597
remove
nil
cons
cons
nil
cons
nil
cons
cons
146
ref
subst
nil
110
ref
9594
remove
nil
cons
9863
def
cons
9864
def
111
ref
9596
ref
nil
cons
9865
def
cons
nil
cons
9866
def
cons
nil
cons
cons
9867
def
126
ref
subst
9867
remove
194
ref
subst
nil
9853
ref
9866
ref
cons
nil
cons
cons
9868
def
175
ref
subst
nil
9864
remove
111
ref
71
ref
9851
ref
appTerm
9596
remove
appTerm
9869
def
nil
cons
9870
def
cons
nil
cons
9871
def
cons
nil
cons
cons
175
ref
subst
nil
208
ref
857
ref
71
ref
9593
ref
861
ref
appTerm
9872
def
appTerm
9869
ref
appTerm
9873
def
absTerm
nil
cons
cons
nil
cons
nil
cons
cons
643
ref
subst
857
ref
nil
139
ref
9873
remove
nil
cons
cons
nil
cons
nil
cons
cons
146
ref
subst
nil
110
ref
9872
ref
nil
cons
9874
def
cons
9871
ref
cons
nil
cons
cons
9875
def
126
ref
subst
9875
remove
194
ref
subst
9872
ref
betaConv
9872
remove
assume
eqMp
nil
110
ref
9592
ref
nil
cons
cons
9871
ref
cons
nil
cons
cons
175
ref
subst
proveHyp
nil
208
ref
29
ref
71
ref
9591
ref
39
ref
appTerm
9876
def
appTerm
9869
ref
appTerm
9877
def
absTerm
9878
def
nil
cons
cons
nil
cons
nil
cons
cons
643
ref
subst
29
ref
nil
139
ref
9877
remove
nil
cons
cons
nil
cons
nil
cons
cons
146
ref
subst
nil
110
ref
9876
ref
nil
cons
9879
def
cons
9871
ref
cons
nil
cons
cons
9880
def
126
ref
subst
9880
remove
194
ref
subst
9876
ref
betaConv
9876
remove
assume
eqMp
nil
110
ref
9590
ref
nil
cons
cons
9871
ref
cons
nil
cons
cons
175
ref
subst
proveHyp
nil
208
ref
26
ref
71
ref
9589
ref
41
ref
appTerm
9881
def
appTerm
9869
ref
appTerm
9882
def
absTerm
nil
cons
cons
nil
cons
nil
cons
cons
643
ref
subst
26
ref
nil
139
ref
9882
remove
nil
cons
cons
nil
cons
nil
cons
cons
146
ref
subst
nil
110
ref
9881
ref
nil
cons
9883
def
cons
9871
ref
cons
nil
cons
cons
9884
def
126
ref
subst
9884
remove
194
ref
subst
9881
ref
betaConv
9881
remove
assume
eqMp
nil
110
ref
9588
ref
nil
cons
cons
9871
ref
cons
nil
cons
cons
175
ref
subst
proveHyp
nil
208
ref
542
ref
71
ref
9587
ref
547
ref
appTerm
9885
def
appTerm
9869
ref
appTerm
9886
def
absTerm
nil
cons
cons
nil
cons
nil
cons
cons
643
ref
subst
542
ref
nil
139
ref
9886
remove
nil
cons
cons
nil
cons
nil
cons
cons
146
ref
subst
nil
110
ref
9885
ref
nil
cons
9887
def
cons
9871
ref
cons
nil
cons
cons
9888
def
126
ref
subst
9888
remove
194
ref
subst
9885
ref
betaConv
9885
remove
assume
eqMp
nil
110
ref
9586
ref
nil
cons
cons
9871
ref
cons
nil
cons
cons
175
ref
subst
proveHyp
nil
257
ref
271
ref
71
ref
9585
ref
275
ref
appTerm
9889
def
appTerm
9869
ref
appTerm
9890
def
absTerm
nil
cons
cons
nil
cons
nil
cons
cons
662
ref
subst
271
ref
nil
139
ref
9890
remove
nil
cons
cons
nil
cons
nil
cons
cons
146
ref
subst
nil
110
ref
9889
ref
nil
cons
9891
def
cons
9871
ref
cons
nil
cons
cons
9892
def
126
ref
subst
9892
remove
194
ref
subst
9889
ref
betaConv
9889
remove
assume
eqMp
nil
110
ref
9584
ref
nil
cons
cons
9871
ref
cons
nil
cons
cons
175
ref
subst
proveHyp
nil
257
ref
48
ref
71
ref
9583
ref
57
ref
appTerm
9893
def
appTerm
9869
ref
appTerm
9894
def
absTerm
nil
cons
cons
nil
cons
nil
cons
cons
662
ref
subst
48
ref
nil
139
ref
9894
remove
nil
cons
cons
nil
cons
nil
cons
cons
146
ref
subst
nil
110
ref
9893
ref
nil
cons
9895
def
cons
9871
ref
cons
nil
cons
cons
9896
def
126
ref
subst
9896
remove
194
ref
subst
9893
ref
betaConv
9893
remove
assume
eqMp
nil
110
ref
9582
remove
nil
cons
9897
def
cons
9898
def
9871
remove
cons
nil
cons
cons
9899
def
175
ref
subst
proveHyp
9899
ref
126
ref
subst
9899
remove
194
ref
subst
9868
ref
126
ref
subst
9868
remove
194
ref
subst
nil
9898
remove
9866
remove
cons
nil
cons
cons
175
ref
subst
9610
remove
5105
ref
appTerm
9900
def
betaConv
9612
remove
3521
ref
appTerm
9901
def
betaConv
9614
remove
3518
ref
appTerm
9902
def
betaConv
9616
remove
9578
ref
appTerm
9903
def
betaConv
9618
remove
57
ref
appTerm
9904
def
betaConv
9620
remove
275
ref
appTerm
9905
def
betaConv
9622
remove
547
ref
appTerm
9906
def
betaConv
9624
remove
41
ref
appTerm
9907
def
betaConv
9626
remove
39
ref
appTerm
9908
def
betaConv
9628
remove
861
ref
appTerm
9909
def
betaConv
nil
9853
remove
111
ref
9909
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
175
ref
subst
207
ref
9629
remove
886
ref
cons
nil
cons
cons
205
ref
subst
eqMp
eqMp
nil
110
ref
9630
remove
cons
111
ref
9908
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
175
ref
subst
proveHyp
207
ref
9631
remove
210
ref
cons
nil
cons
cons
205
ref
subst
eqMp
eqMp
nil
110
ref
9632
remove
cons
111
ref
9907
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
175
ref
subst
proveHyp
207
ref
9633
remove
213
ref
cons
nil
cons
cons
205
ref
subst
eqMp
eqMp
nil
110
ref
9634
remove
cons
111
ref
9906
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
175
ref
subst
proveHyp
207
ref
9635
remove
595
ref
cons
nil
cons
cons
205
ref
subst
eqMp
eqMp
nil
110
ref
9636
remove
cons
111
ref
9905
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
175
ref
subst
proveHyp
256
ref
9637
remove
291
ref
cons
nil
cons
cons
205
ref
subst
eqMp
eqMp
nil
110
ref
9638
remove
cons
111
ref
9904
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
175
ref
subst
proveHyp
256
ref
9639
remove
293
ref
cons
nil
cons
cons
205
ref
subst
eqMp
eqMp
nil
110
ref
9640
remove
cons
111
ref
9903
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
175
ref
subst
proveHyp
207
ref
9641
remove
9712
ref
cons
nil
cons
cons
205
ref
subst
eqMp
eqMp
nil
110
ref
9642
remove
cons
111
ref
9902
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
175
ref
subst
proveHyp
207
ref
9643
remove
3576
ref
cons
nil
cons
cons
205
ref
subst
eqMp
eqMp
nil
110
ref
9644
remove
cons
111
ref
9901
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
175
ref
subst
proveHyp
207
ref
9645
remove
3840
ref
cons
nil
cons
cons
205
ref
subst
eqMp
eqMp
nil
110
ref
9646
remove
cons
111
ref
9900
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
175
ref
subst
proveHyp
207
ref
9647
remove
5226
ref
cons
nil
cons
cons
205
ref
subst
eqMp
eqMp
eqMp
eqMp
nil
151
ref
9852
remove
cons
9910
def
153
ref
9865
remove
cons
nil
cons
9911
def
cons
nil
cons
cons
167
ref
subst
deductAntisym
eqMp
eqMp
nil
151
ref
9897
remove
cons
153
ref
9870
remove
cons
nil
cons
9912
def
cons
nil
cons
cons
167
ref
subst
deductAntisym
eqMp
eqMp
eqMp
nil
151
ref
9895
remove
cons
9912
ref
cons
nil
cons
cons
167
ref
subst
deductAntisym
eqMp
eqMp
absThm
eqMp
nil
110
ref
65
ref
258
ref
71
ref
9583
ref
797
ref
appTerm
appTerm
9869
ref
appTerm
absTerm
appTerm
nil
cons
cons
111
ref
71
ref
9584
remove
appTerm
9869
ref
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
175
ref
subst
proveHyp
256
ref
257
ref
9583
remove
nil
cons
cons
9912
ref
cons
nil
cons
cons
811
ref
subst
eqMp
eqMp
eqMp
nil
151
ref
9891
remove
cons
9912
ref
cons
nil
cons
cons
167
ref
subst
deductAntisym
eqMp
eqMp
absThm
eqMp
nil
110
ref
65
ref
258
ref
71
ref
9585
ref
797
ref
appTerm
appTerm
9869
ref
appTerm
absTerm
appTerm
nil
cons
cons
111
ref
71
ref
9586
remove
appTerm
9869
ref
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
175
ref
subst
proveHyp
256
ref
257
ref
9585
remove
nil
cons
cons
9912
ref
cons
nil
cons
cons
811
ref
subst
eqMp
eqMp
eqMp
nil
151
ref
9887
remove
cons
9912
ref
cons
nil
cons
cons
167
ref
subst
deductAntisym
eqMp
eqMp
absThm
eqMp
nil
110
ref
99
ref
1892
ref
71
ref
9587
ref
1893
ref
appTerm
appTerm
9869
ref
appTerm
absTerm
appTerm
nil
cons
cons
111
ref
71
ref
9588
remove
appTerm
9869
ref
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
175
ref
subst
proveHyp
207
ref
208
ref
9587
remove
nil
cons
cons
9912
ref
cons
nil
cons
cons
811
ref
subst
eqMp
eqMp
eqMp
nil
151
ref
9883
remove
cons
9912
ref
cons
nil
cons
cons
167
ref
subst
deductAntisym
eqMp
eqMp
absThm
eqMp
nil
110
ref
99
ref
1892
ref
71
ref
9589
ref
1893
ref
appTerm
appTerm
9869
ref
appTerm
absTerm
appTerm
nil
cons
cons
111
ref
71
ref
9590
remove
appTerm
9869
ref
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
175
ref
subst
proveHyp
207
ref
208
ref
9589
remove
nil
cons
cons
9912
ref
cons
nil
cons
cons
811
ref
subst
eqMp
eqMp
eqMp
nil
151
ref
9879
remove
cons
9912
ref
cons
nil
cons
cons
167
ref
subst
deductAntisym
eqMp
eqMp
absThm
eqMp
nil
110
ref
99
ref
9878
remove
appTerm
nil
cons
cons
111
ref
71
ref
9592
remove
appTerm
9869
ref
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
175
ref
subst
proveHyp
207
ref
208
ref
9591
remove
nil
cons
cons
9912
ref
cons
nil
cons
cons
811
ref
subst
eqMp
eqMp
eqMp
nil
151
ref
9874
remove
cons
9912
ref
cons
nil
cons
cons
167
ref
subst
deductAntisym
eqMp
eqMp
absThm
eqMp
nil
110
ref
99
ref
29
ref
71
ref
9593
ref
39
ref
appTerm
appTerm
9869
ref
appTerm
absTerm
appTerm
nil
cons
cons
111
ref
9595
remove
9869
remove
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
175
ref
subst
proveHyp
207
ref
208
ref
9593
remove
nil
cons
cons
9912
remove
cons
nil
cons
cons
811
ref
subst
eqMp
eqMp
eqMp
eqMp
nil
151
ref
9863
remove
cons
9911
remove
cons
nil
cons
cons
167
ref
subst
deductAntisym
eqMp
eqMp
absThm
eqMp
eqMp
absThm
eqMp
eqMp
absThm
eqMp
eqMp
absThm
eqMp
eqMp
nil
9910
remove
153
ref
9854
ref
cons
nil
cons
cons
nil
cons
cons
167
ref
subst
deductAntisym
eqMp
eqMp
nil
110
ref
9854
remove
cons
111
ref
9608
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
175
ref
subst
proveHyp
207
ref
9856
remove
9712
ref
cons
nil
cons
cons
205
ref
subst
eqMp
eqMp
nil
110
ref
9857
remove
cons
111
ref
9605
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
175
ref
subst
proveHyp
207
ref
9858
remove
3576
ref
cons
nil
cons
cons
205
ref
subst
eqMp
eqMp
nil
110
ref
9859
remove
cons
111
ref
9602
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
175
ref
subst
proveHyp
207
ref
9860
remove
3840
ref
cons
nil
cons
cons
205
ref
subst
eqMp
eqMp
nil
110
ref
9861
remove
cons
111
ref
9599
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
175
ref
subst
proveHyp
207
ref
9862
remove
5226
ref
cons
nil
cons
cons
205
ref
subst
eqMp
eqMp
9913
def
subst
eqMp
proveHyp
proveHyp
proveHyp
proveHyp
proveHyp
proveHyp
proveHyp
proveHyp
eqMp
nil
151
ref
9547
remove
cons
153
ref
9548
remove
cons
nil
cons
cons
nil
cons
cons
167
ref
subst
deductAntisym
eqMp
eqMp
eqMp
absThm
eqMp
eqMp
absThm
eqMp
eqMp
absThm
eqMp
eqMp
absThm
eqMp
eqMp
absThm
eqMp
eqMp
absThm
eqMp
eqMp
absThm
eqMp
eqMp
absThm
eqMp
eqMp
absThm
eqMp
9914
def
nil
110
ref
99
ref
9502
ref
appTerm
9915
def
nil
cons
9916
def
cons
9917
def
111
ref
68
ref
9483
ref
appTerm
nil
cons
9918
def
cons
nil
cons
cons
nil
cons
cons
9919
def
175
ref
subst
proveHyp
9919
ref
126
ref
subst
9919
remove
194
ref
subst
nil
262
ref
9483
remove
nil
cons
cons
9920
def
nil
cons
nil
cons
cons
663
ref
subst
9456
ref
nil
139
ref
9482
remove
nil
cons
9921
def
cons
nil
cons
nil
cons
cons
146
ref
subst
nil
262
ref
9480
remove
nil
cons
cons
9922
def
nil
cons
nil
cons
cons
663
ref
subst
69
ref
nil
139
ref
9479
remove
nil
cons
9923
def
cons
nil
cons
nil
cons
cons
146
ref
subst
nil
262
ref
9477
remove
nil
cons
cons
9924
def
nil
cons
nil
cons
cons
663
ref
subst
70
ref
nil
139
ref
9476
remove
nil
cons
9925
def
cons
nil
cons
nil
cons
cons
146
ref
subst
nil
262
ref
9474
remove
nil
cons
cons
9926
def
nil
cons
nil
cons
cons
663
ref
subst
552
ref
nil
139
ref
9473
remove
nil
cons
cons
nil
cons
nil
cons
cons
146
ref
subst
nil
110
ref
9470
remove
nil
cons
9927
def
cons
9928
def
111
ref
9472
ref
nil
cons
9929
def
cons
nil
cons
9930
def
cons
nil
cons
cons
9931
def
126
ref
subst
9931
remove
194
ref
subst
nil
9917
ref
9930
ref
cons
nil
cons
cons
9932
def
175
ref
subst
nil
9928
remove
111
ref
71
ref
9915
ref
appTerm
9472
remove
appTerm
9933
def
nil
cons
9934
def
cons
nil
cons
9935
def
cons
nil
cons
cons
175
ref
subst
nil
208
ref
857
ref
71
ref
9469
ref
861
ref
appTerm
9936
def
appTerm
9933
ref
appTerm
9937
def
absTerm
nil
cons
cons
nil
cons
nil
cons
cons
643
ref
subst
857
ref
nil
139
ref
9937
remove
nil
cons
cons
nil
cons
nil
cons
cons
146
ref
subst
nil
110
ref
9936
ref
nil
cons
9938
def
cons
9935
ref
cons
nil
cons
cons
9939
def
126
ref
subst
9939
remove
194
ref
subst
9936
ref
betaConv
9936
remove
assume
eqMp
nil
110
ref
9468
ref
nil
cons
cons
9935
ref
cons
nil
cons
cons
175
ref
subst
proveHyp
nil
208
ref
29
ref
71
ref
9467
ref
39
ref
appTerm
9940
def
appTerm
9933
ref
appTerm
9941
def
absTerm
9942
def
nil
cons
cons
nil
cons
nil
cons
cons
643
ref
subst
29
ref
nil
139
ref
9941
remove
nil
cons
cons
nil
cons
nil
cons
cons
146
ref
subst
nil
110
ref
9940
ref
nil
cons
9943
def
cons
9935
ref
cons
nil
cons
cons
9944
def
126
ref
subst
9944
remove
194
ref
subst
9940
ref
betaConv
9940
remove
assume
eqMp
nil
110
ref
9466
ref
nil
cons
cons
9935
ref
cons
nil
cons
cons
175
ref
subst
proveHyp
nil
208
ref
26
ref
71
ref
9465
ref
41
ref
appTerm
9945
def
appTerm
9933
ref
appTerm
9946
def
absTerm
nil
cons
cons
nil
cons
nil
cons
cons
643
ref
subst
26
ref
nil
139
ref
9946
remove
nil
cons
cons
nil
cons
nil
cons
cons
146
ref
subst
nil
110
ref
9945
ref
nil
cons
9947
def
cons
9935
ref
cons
nil
cons
cons
9948
def
126
ref
subst
9948
remove
194
ref
subst
9945
ref
betaConv
9945
remove
assume
eqMp
nil
110
ref
9464
ref
nil
cons
cons
9935
ref
cons
nil
cons
cons
175
ref
subst
proveHyp
nil
208
ref
542
ref
71
ref
9463
ref
547
ref
appTerm
9949
def
appTerm
9933
ref
appTerm
9950
def
absTerm
nil
cons
cons
nil
cons
nil
cons
cons
643
ref
subst
542
ref
nil
139
ref
9950
remove
nil
cons
cons
nil
cons
nil
cons
cons
146
ref
subst
nil
110
ref
9949
ref
nil
cons
9951
def
cons
9935
ref
cons
nil
cons
cons
9952
def
126
ref
subst
9952
remove
194
ref
subst
9949
ref
betaConv
9949
remove
assume
eqMp
nil
110
ref
9462
ref
nil
cons
cons
9935
ref
cons
nil
cons
cons
175
ref
subst
proveHyp
nil
257
ref
66
ref
71
ref
9461
ref
74
ref
appTerm
9953
def
appTerm
9933
ref
appTerm
9954
def
absTerm
nil
cons
cons
nil
cons
nil
cons
cons
662
ref
subst
66
ref
nil
139
ref
9954
remove
nil
cons
cons
nil
cons
nil
cons
cons
146
ref
subst
nil
110
ref
9953
ref
nil
cons
9955
def
cons
9935
ref
cons
nil
cons
cons
9956
def
126
ref
subst
9956
remove
194
ref
subst
9953
ref
betaConv
9953
remove
assume
eqMp
nil
110
ref
9460
remove
nil
cons
9957
def
cons
9958
def
9935
remove
cons
nil
cons
cons
9959
def
175
ref
subst
proveHyp
9959
ref
126
ref
subst
9959
remove
194
ref
subst
9932
ref
126
ref
subst
9932
remove
194
ref
subst
nil
9958
remove
9930
remove
cons
nil
cons
cons
175
ref
subst
9486
remove
556
ref
appTerm
9960
def
betaConv
9488
remove
81
ref
appTerm
9961
def
betaConv
9490
remove
76
ref
appTerm
9962
def
betaConv
9492
remove
9458
ref
appTerm
9963
def
betaConv
9494
remove
74
ref
appTerm
9964
def
betaConv
9496
remove
547
ref
appTerm
9965
def
betaConv
9498
remove
41
ref
appTerm
9966
def
betaConv
9500
remove
39
ref
appTerm
9967
def
betaConv
9502
remove
861
ref
appTerm
9968
def
betaConv
nil
9917
remove
111
ref
9968
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
175
ref
subst
207
ref
9503
remove
886
ref
cons
nil
cons
cons
205
ref
subst
eqMp
eqMp
nil
110
ref
9504
remove
cons
111
ref
9967
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
175
ref
subst
proveHyp
207
ref
9505
remove
210
ref
cons
nil
cons
cons
205
ref
subst
eqMp
eqMp
nil
110
ref
9506
remove
cons
111
ref
9966
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
175
ref
subst
proveHyp
207
ref
9507
remove
213
ref
cons
nil
cons
cons
205
ref
subst
eqMp
eqMp
nil
110
ref
9508
remove
cons
111
ref
9965
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
175
ref
subst
proveHyp
207
ref
9509
remove
595
ref
cons
nil
cons
cons
205
ref
subst
eqMp
eqMp
nil
110
ref
9510
remove
cons
111
ref
9964
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
175
ref
subst
proveHyp
256
ref
9511
remove
260
ref
cons
nil
cons
cons
205
ref
subst
eqMp
eqMp
nil
110
ref
9512
remove
cons
111
ref
9963
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
175
ref
subst
proveHyp
261
ref
9513
remove
263
ref
9520
remove
cons
nil
cons
9969
def
cons
nil
cons
cons
205
ref
subst
eqMp
eqMp
nil
110
ref
9514
remove
cons
111
ref
9962
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
175
ref
subst
proveHyp
261
ref
9515
remove
824
ref
cons
nil
cons
cons
205
ref
subst
eqMp
eqMp
nil
110
ref
9516
remove
cons
111
ref
9961
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
175
ref
subst
proveHyp
261
ref
9517
remove
828
ref
cons
nil
cons
cons
205
ref
subst
eqMp
eqMp
nil
110
ref
9518
remove
cons
111
ref
9960
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
175
ref
subst
proveHyp
261
ref
9519
remove
2526
ref
cons
nil
cons
cons
205
ref
subst
eqMp
eqMp
eqMp
eqMp
nil
151
ref
9916
remove
cons
9970
def
153
ref
9929
remove
cons
nil
cons
9971
def
cons
nil
cons
cons
167
ref
subst
deductAntisym
eqMp
eqMp
nil
151
ref
9957
remove
cons
153
ref
9934
remove
cons
nil
cons
9972
def
cons
nil
cons
cons
167
ref
subst
deductAntisym
eqMp
eqMp
eqMp
nil
151
ref
9955
remove
cons
9972
ref
cons
nil
cons
cons
167
ref
subst
deductAntisym
eqMp
eqMp
absThm
eqMp
nil
110
ref
65
ref
258
ref
71
ref
9461
ref
797
ref
appTerm
appTerm
9933
ref
appTerm
absTerm
appTerm
nil
cons
cons
111
ref
71
ref
9462
remove
appTerm
9933
ref
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
175
ref
subst
proveHyp
256
ref
257
ref
9461
remove
nil
cons
cons
9972
ref
cons
nil
cons
cons
811
ref
subst
eqMp
eqMp
eqMp
nil
151
ref
9951
remove
cons
9972
ref
cons
nil
cons
cons
167
ref
subst
deductAntisym
eqMp
eqMp
absThm
eqMp
nil
110
ref
99
ref
1892
ref
71
ref
9463
ref
1893
ref
appTerm
appTerm
9933
ref
appTerm
absTerm
appTerm
nil
cons
cons
111
ref
71
ref
9464
remove
appTerm
9933
ref
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
175
ref
subst
proveHyp
207
ref
208
ref
9463
remove
nil
cons
cons
9972
ref
cons
nil
cons
cons
811
ref
subst
eqMp
eqMp
eqMp
nil
151
ref
9947
remove
cons
9972
ref
cons
nil
cons
cons
167
ref
subst
deductAntisym
eqMp
eqMp
absThm
eqMp
nil
110
ref
99
ref
1892
ref
71
ref
9465
ref
1893
ref
appTerm
appTerm
9933
ref
appTerm
absTerm
appTerm
nil
cons
cons
111
ref
71
ref
9466
remove
appTerm
9933
ref
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
175
ref
subst
proveHyp
207
ref
208
ref
9465
remove
nil
cons
cons
9972
ref
cons
nil
cons
cons
811
ref
subst
eqMp
eqMp
eqMp
nil
151
ref
9943
remove
cons
9972
ref
cons
nil
cons
cons
167
ref
subst
deductAntisym
eqMp
eqMp
absThm
eqMp
nil
110
ref
99
ref
9942
remove
appTerm
nil
cons
cons
111
ref
71
ref
9468
remove
appTerm
9933
ref
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
175
ref
subst
proveHyp
207
ref
208
ref
9467
remove
nil
cons
cons
9972
ref
cons
nil
cons
cons
811
ref
subst
eqMp
eqMp
eqMp
nil
151
ref
9938
remove
cons
9972
ref
cons
nil
cons
cons
167
ref
subst
deductAntisym
eqMp
eqMp
absThm
eqMp
nil
110
ref
99
ref
29
ref
71
ref
9469
ref
39
ref
appTerm
appTerm
9933
ref
appTerm
absTerm
appTerm
nil
cons
cons
111
ref
9471
remove
9933
remove
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
175
ref
subst
proveHyp
207
ref
208
ref
9469
remove
nil
cons
cons
9972
remove
cons
nil
cons
cons
811
ref
subst
eqMp
eqMp
eqMp
eqMp
nil
151
ref
9927
remove
cons
9971
remove
cons
nil
cons
cons
167
ref
subst
deductAntisym
eqMp
eqMp
absThm
eqMp
eqMp
absThm
eqMp
eqMp
absThm
eqMp
eqMp
absThm
eqMp
eqMp
nil
9970
remove
153
ref
9918
ref
cons
nil
cons
cons
nil
cons
cons
167
ref
subst
deductAntisym
eqMp
eqMp
nil
110
ref
9918
remove
cons
111
ref
9484
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
175
ref
subst
proveHyp
261
ref
9920
remove
9969
ref
cons
nil
cons
cons
205
ref
subst
eqMp
eqMp
nil
110
ref
9921
remove
cons
111
ref
9481
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
175
ref
subst
proveHyp
261
ref
9922
remove
824
ref
cons
nil
cons
cons
205
ref
subst
eqMp
eqMp
nil
110
ref
9923
remove
cons
111
ref
9478
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
175
ref
subst
proveHyp
261
ref
9924
remove
828
ref
cons
nil
cons
cons
205
ref
subst
eqMp
eqMp
nil
110
ref
9925
remove
cons
111
ref
9475
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
175
ref
subst
proveHyp
261
ref
9926
remove
2526
ref
cons
nil
cons
cons
205
ref
subst
eqMp
eqMp
subst
eqMp
nil
110
ref
9455
remove
cons
111
ref
9407
ref
nil
cons
9973
def
cons
nil
cons
9974
def
cons
nil
cons
cons
194
ref
subst
proveHyp
542
ref
71
ref
9440
remove
appTerm
47
ref
48
ref
49
ref
52
ref
54
ref
9401
ref
appTerm
appTerm
57
ref
appTerm
appTerm
9975
def
4999
remove
appTerm
absTerm
appTerm
9976
def
appTerm
absTerm
9977
def
2457
ref
appTerm
9978
def
betaConv
26
ref
99
ref
542
ref
71
ref
9436
remove
appTerm
47
ref
48
ref
9975
ref
5003
remove
appTerm
absTerm
appTerm
9979
def
appTerm
absTerm
appTerm
absTerm
9980
def
2369
ref
appTerm
9981
def
betaConv
29
ref
99
ref
26
ref
99
ref
542
ref
71
ref
9431
remove
appTerm
47
ref
48
ref
9975
ref
4659
remove
appTerm
absTerm
appTerm
9982
def
appTerm
absTerm
appTerm
absTerm
appTerm
absTerm
9983
def
2322
ref
appTerm
9984
def
betaConv
8574
remove
9401
ref
appTerm
9985
def
betaConv
8576
remove
nil
110
ref
8577
remove
nil
cons
cons
111
ref
9985
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
175
ref
subst
proveHyp
207
ref
8575
remove
9454
ref
cons
nil
cons
cons
205
ref
subst
eqMp
eqMp
nil
110
ref
99
ref
9983
ref
appTerm
nil
cons
cons
111
ref
9984
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
175
ref
subst
proveHyp
207
ref
208
ref
9983
remove
nil
cons
cons
3241
ref
cons
nil
cons
cons
205
ref
subst
eqMp
eqMp
nil
110
ref
99
ref
9980
ref
appTerm
nil
cons
cons
111
ref
9981
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
175
ref
subst
proveHyp
207
ref
208
ref
9980
remove
nil
cons
cons
3240
ref
cons
nil
cons
cons
205
ref
subst
eqMp
eqMp
nil
110
ref
99
ref
9977
ref
appTerm
nil
cons
cons
111
ref
9978
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
175
ref
subst
proveHyp
207
ref
208
ref
9977
remove
nil
cons
cons
2744
ref
cons
nil
cons
cons
205
ref
subst
eqMp
eqMp
nil
110
ref
71
ref
9405
ref
appTerm
9986
def
47
ref
48
ref
9975
remove
5020
remove
appTerm
absTerm
appTerm
9987
def
appTerm
nil
cons
cons
9974
ref
cons
nil
cons
cons
175
ref
subst
proveHyp
226
ref
226
ref
9447
remove
appThm
215
remove
48
ref
216
ref
217
remove
nil
26
ref
9450
ref
cons
29
ref
9399
ref
nil
cons
9988
def
cons
nil
cons
cons
9989
def
nil
cons
cons
1580
remove
subst
1288
remove
nil
9452
ref
nil
cons
cons
1162
remove
subst
9990
def
306
remove
trans
appThm
54
ref
9400
ref
appTerm
9991
def
refl
appThm
nil
48
ref
9991
ref
nil
cons
9992
def
cons
9993
def
3370
remove
cons
nil
cons
cons
3378
remove
subst
305
remove
nil
9993
remove
nil
cons
nil
cons
cons
9994
def
3383
remove
subst
appThm
trans
trans
trans
appThm
222
remove
appThm
appThm
5027
remove
appThm
absThm
appThm
9995
def
appThm
nil
139
ref
47
ref
48
ref
49
ref
52
ref
300
remove
9991
ref
appTerm
appTerm
9996
def
57
ref
appTerm
appTerm
5029
remove
appTerm
absTerm
9997
def
appTerm
9998
def
nil
cons
cons
nil
cons
nil
cons
cons
840
ref
subst
9999
def
trans
appThm
9407
ref
refl
10000
def
appThm
sym
nil
257
ref
493
ref
71
ref
9997
ref
496
ref
appTerm
10001
def
appTerm
10002
def
9407
ref
appTerm
10003
def
absTerm
nil
cons
cons
nil
cons
nil
cons
cons
662
ref
subst
493
ref
nil
139
ref
10003
remove
nil
cons
cons
nil
cons
nil
cons
cons
146
ref
subst
nil
110
ref
10001
ref
nil
cons
10004
def
cons
10005
def
9974
ref
cons
nil
cons
cons
10006
def
126
ref
subst
10006
remove
194
ref
subst
10001
ref
betaConv
10001
remove
assume
eqMp
10007
def
nil
110
ref
49
ref
9996
ref
496
ref
appTerm
appTerm
5037
remove
appTerm
10008
def
nil
cons
cons
10009
def
9974
ref
cons
nil
cons
cons
175
ref
subst
proveHyp
3408
ref
nil
3410
ref
111
ref
71
ref
10008
remove
appTerm
10010
def
9407
ref
appTerm
10011
def
nil
cons
10012
def
cons
nil
cons
10013
def
cons
nil
cons
cons
10014
def
175
ref
subst
proveHyp
10014
ref
126
ref
subst
10014
remove
194
ref
subst
nil
257
ref
48
ref
3416
ref
10011
ref
appTerm
10015
def
absTerm
nil
cons
cons
nil
cons
nil
cons
cons
662
ref
subst
48
ref
nil
139
ref
10015
remove
nil
cons
cons
nil
cons
nil
cons
cons
146
ref
subst
nil
3419
ref
10013
ref
cons
nil
cons
cons
10016
def
126
ref
subst
10016
remove
194
ref
subst
3421
ref
nil
3423
ref
10013
ref
cons
nil
cons
cons
10017
def
175
ref
subst
proveHyp
10017
ref
126
ref
subst
10017
remove
194
ref
subst
36
ref
"_32176"
44
ref
var
10018
def
71
ref
49
ref
9996
ref
10018
remove
varTerm
10019
def
appTerm
appTerm
49
ref
3393
ref
10019
ref
appTerm
appTerm
49
ref
3395
ref
10019
ref
appTerm
appTerm
5028
ref
10019
remove
appTerm
appTerm
appTerm
appTerm
appTerm
9407
ref
appTerm
absTerm
10020
def
496
ref
appTerm
10021
def
appTerm
refl
10022
def
10020
ref
309
ref
appTerm
betaConv
appThm
155
ref
10021
remove
betaConv
appThm
10023
def
71
ref
49
ref
9996
ref
309
ref
appTerm
appTerm
5051
remove
appTerm
appTerm
10024
def
9407
ref
appTerm
refl
appThm
trans
10020
remove
refl
10025
def
3434
ref
appThm
eqMp
sym
226
ref
216
ref
nil
493
ref
9992
remove
cons
nil
cons
nil
cons
cons
3443
remove
subst
appThm
5053
remove
appThm
appThm
10026
def
10000
ref
appThm
sym
nil
110
ref
49
ref
52
ref
9991
ref
appTerm
57
ref
appTerm
10027
def
appTerm
5056
remove
appTerm
nil
cons
10028
def
cons
10029
def
9974
ref
cons
nil
cons
cons
10030
def
126
ref
subst
10030
remove
194
ref
subst
nil
151
ref
10027
ref
nil
cons
cons
153
ref
5057
remove
cons
nil
cons
cons
nil
cons
cons
10031
def
167
ref
subst
10032
def
10031
remove
334
ref
subst
10033
def
5060
ref
5061
ref
5064
ref
5065
ref
857
ref
725
ref
29
ref
725
ref
26
ref
725
ref
542
ref
47
ref
271
ref
47
ref
48
ref
6776
remove
49
ref
9566
ref
9400
ref
appTerm
appTerm
5070
ref
appTerm
10034
def
appTerm
absTerm
appTerm
absTerm
appTerm
absTerm
appTerm
absTerm
appTerm
absTerm
appTerm
absTerm
10035
def
9401
ref
appTerm
betaConv
sym
29
ref
725
ref
26
ref
725
ref
542
ref
47
ref
271
ref
47
ref
48
ref
9432
remove
49
ref
235
ref
9401
ref
appTerm
10036
def
275
ref
appTerm
57
ref
appTerm
9400
ref
appTerm
appTerm
10037
def
5070
remove
appTerm
10038
def
appTerm
absTerm
appTerm
absTerm
appTerm
absTerm
appTerm
absTerm
appTerm
absTerm
10039
def
2322
ref
appTerm
betaConv
sym
26
ref
725
ref
542
ref
47
ref
271
ref
47
ref
48
ref
9437
remove
10037
ref
5072
remove
appTerm
10040
def
appTerm
absTerm
appTerm
absTerm
appTerm
absTerm
appTerm
absTerm
10041
def
2369
ref
appTerm
betaConv
sym
542
ref
47
ref
271
ref
47
ref
48
ref
9441
remove
10037
ref
5075
remove
appTerm
10042
def
appTerm
absTerm
appTerm
absTerm
appTerm
absTerm
10043
def
2457
ref
appTerm
betaConv
sym
271
ref
47
ref
48
ref
9444
ref
10037
remove
5078
remove
appTerm
10044
def
appTerm
absTerm
appTerm
absTerm
10045
def
240
ref
appTerm
betaConv
sym
48
ref
9444
ref
49
ref
10036
ref
240
ref
appTerm
10046
def
57
ref
appTerm
9400
ref
appTerm
10047
def
appTerm
10048
def
5083
ref
appTerm
10049
def
appTerm
absTerm
10050
def
57
ref
appTerm
betaConv
sym
nil
3125
remove
5083
remove
nil
cons
cons
10051
def
3126
remove
10047
ref
nil
cons
10052
def
cons
10053
def
3127
ref
9425
ref
cons
nil
cons
cons
cons
nil
cons
cons
3479
ref
subst
nil
5085
ref
3469
ref
3127
ref
9444
remove
10047
ref
appTerm
10054
def
nil
cons
cons
nil
cons
cons
cons
nil
cons
cons
3479
ref
subst
nil
5087
ref
5088
ref
3127
ref
49
ref
10054
remove
appTerm
3461
ref
appTerm
nil
cons
cons
nil
cons
cons
cons
nil
cons
cons
3479
ref
subst
trans
trans
216
ref
216
ref
216
ref
9448
remove
10047
ref
refl
10055
def
appThm
nil
139
ref
10052
ref
cons
nil
cons
nil
cons
cons
527
remove
subst
10056
def
trans
appThm
3480
ref
appThm
appThm
3482
ref
appThm
appThm
5089
ref
appThm
trans
sym
36
ref
"_32190"
44
ref
var
10057
def
10046
ref
10057
remove
varTerm
appTerm
9400
ref
appTerm
absTerm
10058
def
57
ref
appTerm
10059
def
appTerm
refl
10058
ref
9991
ref
appTerm
betaConv
appThm
155
ref
10059
remove
betaConv
appThm
10046
remove
9991
ref
appTerm
9400
ref
appTerm
refl
appThm
trans
10058
remove
refl
10027
remove
assume
sym
appThm
eqMp
sym
9990
remove
36
ref
"_32192"
44
ref
var
10060
def
10036
ref
10060
remove
varTerm
appTerm
9991
ref
appTerm
9400
ref
appTerm
absTerm
10061
def
240
ref
appTerm
10062
def
appTerm
refl
10061
ref
54
remove
9399
remove
appTerm
10063
def
appTerm
betaConv
appThm
155
ref
10062
remove
betaConv
appThm
10036
remove
10063
ref
appTerm
9991
remove
appTerm
9400
ref
appTerm
refl
appThm
trans
10061
remove
refl
52
remove
10063
remove
appTerm
240
ref
appTerm
assume
sym
appThm
eqMp
sym
nil
542
ref
9450
ref
cons
9989
remove
cons
nil
cons
cons
3499
remove
subst
nil
9451
remove
nil
cons
nil
cons
cons
3500
remove
subst
trans
sym
145
ref
eqMp
eqMp
proveHyp
eqMp
nil
110
ref
10052
remove
cons
111
ref
3468
remove
cons
nil
cons
cons
nil
cons
cons
194
ref
subst
proveHyp
3502
remove
eqMp
nil
110
ref
10048
remove
3461
ref
appTerm
10064
def
nil
cons
cons
3503
remove
cons
nil
cons
cons
194
ref
subst
proveHyp
3511
remove
eqMp
nil
110
ref
49
ref
10064
remove
appTerm
3464
remove
appTerm
nil
cons
cons
5090
remove
cons
nil
cons
cons
194
ref
subst
proveHyp
5101
remove
eqMp
10065
def
eqMp
eqMp
256
ref
257
ref
10050
remove
nil
cons
cons
293
ref
cons
nil
cons
cons
724
ref
subst
proveHyp
eqMp
256
ref
257
ref
10045
remove
nil
cons
cons
704
ref
cons
nil
cons
cons
724
ref
subst
proveHyp
eqMp
207
ref
208
ref
10043
remove
nil
cons
cons
2744
ref
cons
nil
cons
cons
724
ref
subst
proveHyp
eqMp
207
ref
208
ref
10041
remove
nil
cons
cons
3240
ref
cons
nil
cons
cons
724
ref
subst
proveHyp
eqMp
207
ref
208
ref
10039
remove
nil
cons
cons
3241
ref
cons
nil
cons
cons
724
ref
subst
proveHyp
eqMp
207
ref
208
ref
10035
ref
nil
cons
cons
9454
ref
cons
nil
cons
cons
724
ref
subst
proveHyp
nil
110
ref
725
ref
10035
remove
appTerm
nil
cons
cons
9974
remove
cons
nil
cons
cons
175
ref
subst
proveHyp
nil
5103
remove
3514
remove
3516
remove
9576
ref
9450
ref
cons
nil
cons
cons
cons
cons
nil
cons
cons
10066
def
9913
remove
subst
eqMp
proveHyp
proveHyp
proveHyp
proveHyp
proveHyp
proveHyp
eqMp
nil
151
ref
10028
remove
cons
10067
def
153
ref
9973
ref
cons
nil
cons
10068
def
cons
nil
cons
cons
167
ref
subst
deductAntisym
eqMp
eqMp
eqMp
eqMp
nil
3916
ref
153
ref
10012
ref
cons
nil
cons
10069
def
cons
nil
cons
cons
167
ref
subst
deductAntisym
eqMp
eqMp
eqMp
nil
3918
ref
10069
ref
cons
nil
cons
cons
167
ref
subst
deductAntisym
eqMp
eqMp
absThm
eqMp
nil
110
ref
65
ref
258
ref
3919
ref
10011
ref
appTerm
absTerm
appTerm
nil
cons
cons
111
ref
3920
ref
10011
remove
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
175
ref
subst
proveHyp
256
ref
3921
ref
10069
ref
cons
nil
cons
cons
811
ref
subst
eqMp
nil
3923
ref
10013
remove
cons
nil
cons
cons
10070
def
126
ref
subst
10070
remove
194
ref
subst
10022
remove
"_32174"
44
ref
var
10071
def
71
ref
49
ref
9996
ref
10071
remove
varTerm
10072
def
appTerm
appTerm
49
ref
3393
ref
10072
ref
appTerm
appTerm
49
ref
3395
ref
10072
ref
appTerm
appTerm
5028
ref
10072
remove
appTerm
appTerm
appTerm
appTerm
appTerm
9407
ref
appTerm
absTerm
220
ref
appTerm
betaConv
appThm
10023
remove
71
ref
49
ref
9996
ref
220
ref
appTerm
appTerm
5312
remove
appTerm
appTerm
10073
def
9407
ref
appTerm
refl
appThm
trans
10025
remove
3929
ref
appThm
eqMp
sym
226
ref
216
ref
9994
remove
350
remove
subst
appThm
5313
remove
appThm
375
remove
trans
appThm
10074
def
10000
ref
appThm
nil
139
ref
9973
remove
cons
nil
cons
nil
cons
cons
381
ref
subst
trans
sym
145
ref
eqMp
eqMp
eqMp
nil
3933
ref
10069
ref
cons
nil
cons
cons
167
ref
subst
deductAntisym
eqMp
nil
3933
ref
3934
ref
1335
ref
10012
remove
cons
nil
cons
cons
cons
nil
cons
cons
1350
ref
subst
proveHyp
proveHyp
eqMp
nil
3935
ref
10069
remove
cons
nil
cons
cons
167
ref
subst
deductAntisym
eqMp
eqMp
eqMp
eqMp
nil
151
ref
10004
remove
cons
10075
def
10068
ref
cons
nil
cons
cons
167
ref
subst
deductAntisym
eqMp
eqMp
absThm
eqMp
nil
110
ref
65
ref
258
ref
71
ref
9997
ref
797
ref
appTerm
appTerm
10076
def
9407
ref
appTerm
absTerm
appTerm
nil
cons
cons
111
ref
71
ref
9998
remove
appTerm
10077
def
9407
remove
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
175
ref
subst
proveHyp
256
ref
257
ref
9997
remove
nil
cons
cons
10078
def
10068
remove
cons
nil
cons
cons
811
ref
subst
eqMp
eqMp
eqMp
eqMp
eqMp
nil
151
ref
9425
remove
cons
153
ref
9426
remove
cons
nil
cons
cons
nil
cons
cons
167
ref
subst
deductAntisym
eqMp
nil
110
ref
9986
remove
9408
ref
appTerm
nil
cons
cons
111
ref
71
ref
9408
remove
appTerm
9405
ref
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
194
ref
subst
proveHyp
226
ref
216
ref
nil
7820
remove
2996
remove
2437
remove
9452
remove
cons
cons
cons
nil
cons
cons
10079
def
9536
remove
subst
appThm
10000
remove
appThm
appThm
9405
remove
refl
appThm
sym
nil
2545
remove
2546
remove
2547
remove
8818
remove
9450
remove
cons
2550
remove
2552
remove
2554
remove
8817
remove
9988
remove
cons
nil
cons
cons
cons
cons
cons
cons
cons
cons
nil
cons
cons
10080
def
8907
remove
subst
eqMp
eqMp
eqMp
eqMp
absThm
eqMp
eqMp
absThm
eqMp
eqMp
absThm
eqMp
eqMp
absThm
eqMp
eqMp
absThm
eqMp
eqMp
absThm
eqMp
eqMp
absThm
eqMp
eqMp
absThm
eqMp
nil
68
ref
9424
remove
appTerm
thm
nil
262
ref
9396
ref
99
ref
9397
ref
68
ref
2291
ref
99
ref
2313
ref
68
ref
2343
ref
99
ref
2360
ref
68
ref
2445
ref
99
ref
2423
ref
36
ref
892
ref
9401
ref
appTerm
10081
def
2322
ref
appTerm
10082
def
2369
ref
appTerm
10083
def
2457
ref
appTerm
10084
def
appTerm
49
ref
6187
ref
9398
ref
appTerm
2292
ref
appTerm
2344
ref
appTerm
2446
ref
appTerm
10085
def
appTerm
892
ref
9400
ref
appTerm
2314
ref
appTerm
2361
ref
appTerm
2424
ref
appTerm
10086
def
appTerm
10087
def
appTerm
10088
def
absTerm
10089
def
appTerm
10090
def
absTerm
10091
def
appTerm
10092
def
absTerm
10093
def
appTerm
10094
def
absTerm
10095
def
appTerm
10096
def
absTerm
10097
def
appTerm
10098
def
absTerm
10099
def
appTerm
10100
def
absTerm
10101
def
appTerm
10102
def
absTerm
10103
def
nil
cons
cons
nil
cons
nil
cons
cons
663
ref
subst
9396
ref
nil
139
ref
10102
remove
nil
cons
cons
nil
cons
nil
cons
cons
146
ref
subst
nil
208
ref
10101
remove
nil
cons
cons
nil
cons
nil
cons
cons
643
ref
subst
9397
ref
nil
139
ref
10100
remove
nil
cons
cons
nil
cons
nil
cons
cons
146
ref
subst
nil
262
ref
10099
remove
nil
cons
cons
nil
cons
nil
cons
cons
663
ref
subst
2291
ref
nil
139
ref
10098
remove
nil
cons
cons
nil
cons
nil
cons
cons
146
ref
subst
nil
208
ref
10097
remove
nil
cons
cons
nil
cons
nil
cons
cons
643
ref
subst
2313
ref
nil
139
ref
10096
remove
nil
cons
cons
nil
cons
nil
cons
cons
146
ref
subst
nil
262
ref
10095
remove
nil
cons
cons
nil
cons
nil
cons
cons
663
ref
subst
2343
ref
nil
139
ref
10094
remove
nil
cons
cons
nil
cons
nil
cons
cons
146
ref
subst
nil
208
ref
10093
remove
nil
cons
cons
nil
cons
nil
cons
cons
643
ref
subst
2360
ref
nil
139
ref
10092
remove
nil
cons
cons
nil
cons
nil
cons
cons
146
ref
subst
nil
262
ref
10091
remove
nil
cons
cons
nil
cons
nil
cons
cons
663
ref
subst
2445
ref
nil
139
ref
10090
remove
nil
cons
cons
nil
cons
nil
cons
cons
146
ref
subst
nil
208
ref
10089
remove
nil
cons
cons
nil
cons
nil
cons
cons
643
ref
subst
2423
ref
nil
139
ref
10088
remove
nil
cons
cons
nil
cons
nil
cons
cons
146
ref
subst
nil
110
ref
10084
ref
nil
cons
10104
def
cons
111
ref
10087
ref
nil
cons
10105
def
cons
nil
cons
cons
nil
cons
cons
10106
def
335
ref
subst
10106
ref
126
ref
subst
10106
remove
194
ref
subst
857
ref
725
ref
29
ref
725
ref
26
ref
725
ref
542
ref
47
ref
66
ref
6947
ref
9429
ref
appTerm
absTerm
appTerm
absTerm
appTerm
absTerm
appTerm
absTerm
appTerm
absTerm
10107
def
9401
ref
appTerm
betaConv
sym
29
ref
725
ref
26
ref
725
ref
542
ref
47
ref
66
ref
49
ref
10081
remove
39
ref
appTerm
41
ref
appTerm
547
ref
appTerm
10108
def
appTerm
10109
def
9434
ref
appTerm
absTerm
appTerm
absTerm
appTerm
absTerm
appTerm
absTerm
10110
def
2322
ref
appTerm
betaConv
sym
26
ref
725
ref
542
ref
47
ref
66
ref
49
ref
10082
remove
41
ref
appTerm
547
ref
appTerm
10111
def
appTerm
10112
def
9438
ref
appTerm
absTerm
appTerm
absTerm
appTerm
absTerm
10113
def
2369
ref
appTerm
betaConv
sym
542
ref
47
ref
66
ref
49
ref
10083
remove
547
ref
appTerm
10114
def
appTerm
10115
def
9442
ref
appTerm
absTerm
appTerm
absTerm
10116
def
2457
ref
appTerm
betaConv
sym
66
ref
49
ref
10084
ref
appTerm
10117
def
9445
ref
appTerm
absTerm
10118
def
220
ref
appTerm
betaConv
sym
216
ref
nil
139
ref
10104
ref
cons
nil
cons
nil
cons
cons
146
ref
subst
10084
ref
assume
eqMp
10119
def
appThm
10120
def
9453
ref
appThm
528
ref
trans
sym
145
ref
eqMp
eqMp
256
ref
257
ref
10118
remove
nil
cons
cons
1331
ref
cons
nil
cons
cons
724
ref
subst
proveHyp
eqMp
207
ref
208
ref
10116
remove
nil
cons
cons
2744
ref
cons
nil
cons
cons
724
ref
subst
proveHyp
eqMp
207
ref
208
ref
10113
remove
nil
cons
cons
3240
ref
cons
nil
cons
cons
724
ref
subst
proveHyp
eqMp
207
ref
208
ref
10110
remove
nil
cons
cons
3241
ref
cons
nil
cons
cons
724
ref
subst
proveHyp
eqMp
207
ref
208
ref
10107
ref
nil
cons
cons
9454
ref
cons
nil
cons
cons
724
ref
subst
proveHyp
nil
110
ref
725
ref
10107
remove
appTerm
nil
cons
cons
111
ref
10085
remove
nil
cons
10121
def
cons
nil
cons
cons
nil
cons
cons
175
ref
subst
proveHyp
9457
ref
552
ref
71
ref
725
ref
857
ref
725
ref
29
ref
725
ref
26
ref
725
ref
542
ref
47
ref
66
ref
6947
ref
9459
ref
appTerm
10122
def
absTerm
10123
def
appTerm
10124
def
absTerm
10125
def
appTerm
10126
def
absTerm
10127
def
appTerm
10128
def
absTerm
10129
def
appTerm
10130
def
absTerm
10131
def
appTerm
10132
def
appTerm
10133
def
6187
remove
9458
ref
appTerm
76
ref
appTerm
81
ref
appTerm
556
ref
appTerm
10134
def
appTerm
10135
def
absTerm
10136
def
556
ref
appTerm
10137
def
betaConv
70
ref
68
ref
10136
ref
appTerm
10138
def
absTerm
10139
def
81
ref
appTerm
10140
def
betaConv
69
ref
68
ref
10139
ref
appTerm
10141
def
absTerm
10142
def
76
ref
appTerm
10143
def
betaConv
9456
ref
68
ref
10142
ref
appTerm
10144
def
absTerm
10145
def
9458
ref
appTerm
10146
def
betaConv
nil
208
ref
857
ref
99
ref
29
ref
99
ref
26
ref
99
ref
542
ref
65
ref
66
ref
68
ref
9456
ref
68
ref
69
ref
68
ref
70
ref
68
ref
552
ref
71
ref
10122
ref
appTerm
10134
ref
appTerm
10147
def
absTerm
10148
def
appTerm
10149
def
absTerm
10150
def
appTerm
10151
def
absTerm
10152
def
appTerm
10153
def
absTerm
10154
def
appTerm
10155
def
absTerm
10156
def
appTerm
10157
def
absTerm
10158
def
appTerm
10159
def
absTerm
10160
def
appTerm
10161
def
absTerm
10162
def
appTerm
10163
def
absTerm
10164
def
nil
cons
cons
10165
def
nil
cons
nil
cons
cons
643
ref
subst
857
ref
nil
139
ref
10163
remove
nil
cons
10166
def
cons
nil
cons
nil
cons
cons
146
ref
subst
nil
208
ref
10162
ref
nil
cons
cons
10167
def
nil
cons
nil
cons
cons
643
ref
subst
29
ref
nil
139
ref
10161
remove
nil
cons
10168
def
cons
nil
cons
nil
cons
cons
146
ref
subst
nil
208
ref
10160
ref
nil
cons
cons
10169
def
nil
cons
nil
cons
cons
643
ref
subst
26
ref
nil
139
ref
10159
remove
nil
cons
10170
def
cons
nil
cons
nil
cons
cons
146
ref
subst
nil
208
ref
10158
ref
nil
cons
cons
10171
def
nil
cons
nil
cons
cons
643
ref
subst
542
ref
nil
139
ref
10157
remove
nil
cons
10172
def
cons
nil
cons
nil
cons
cons
146
ref
subst
nil
257
ref
10156
ref
nil
cons
cons
10173
def
nil
cons
nil
cons
cons
662
ref
subst
66
ref
nil
139
ref
10155
remove
nil
cons
10174
def
cons
nil
cons
nil
cons
cons
146
ref
subst
nil
262
ref
10154
ref
nil
cons
cons
10175
def
nil
cons
nil
cons
cons
663
ref
subst
9456
ref
nil
139
ref
10153
remove
nil
cons
10176
def
cons
nil
cons
nil
cons
cons
146
ref
subst
nil
262
ref
10152
ref
nil
cons
cons
10177
def
nil
cons
nil
cons
cons
663
ref
subst
69
ref
nil
139
ref
10151
remove
nil
cons
10178
def
cons
nil
cons
nil
cons
cons
146
ref
subst
nil
262
ref
10150
ref
nil
cons
cons
10179
def
nil
cons
nil
cons
cons
663
ref
subst
70
ref
nil
139
ref
10149
remove
nil
cons
10180
def
cons
nil
cons
nil
cons
cons
146
ref
subst
nil
262
ref
10148
ref
nil
cons
cons
10181
def
nil
cons
nil
cons
cons
663
ref
subst
552
ref
nil
139
ref
10147
remove
nil
cons
cons
nil
cons
nil
cons
cons
146
ref
subst
226
ref
6947
ref
refl
9522
ref
appThm
appThm
9523
ref
2165
ref
6197
remove
6186
remove
appTerm
10182
def
absTerm
10183
def
2168
ref
appTerm
10184
def
betaConv
1001
ref
68
ref
10183
ref
appTerm
10185
def
absTerm
10186
def
1002
ref
appTerm
10187
def
betaConv
263
ref
68
ref
10186
ref
appTerm
10188
def
absTerm
10189
def
627
ref
appTerm
10190
def
betaConv
227
ref
68
ref
10189
ref
appTerm
10191
def
absTerm
10192
def
233
ref
appTerm
10193
def
betaConv
225
ref
227
ref
225
ref
263
ref
225
ref
1001
ref
225
ref
2165
ref
10182
remove
assume
sym
6189
remove
assume
sym
deductAntisym
absThm
appThm
absThm
appThm
absThm
appThm
absThm
appThm
6518
remove
eqMp
nil
110
ref
68
ref
10192
ref
appTerm
nil
cons
cons
111
ref
10193
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
175
ref
subst
proveHyp
261
ref
262
ref
10192
remove
nil
cons
cons
265
ref
cons
nil
cons
cons
205
ref
subst
eqMp
eqMp
nil
110
ref
10191
remove
nil
cons
cons
111
ref
10190
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
175
ref
subst
proveHyp
261
ref
262
ref
10189
remove
nil
cons
cons
3024
ref
cons
nil
cons
cons
205
ref
subst
eqMp
eqMp
nil
110
ref
10188
remove
nil
cons
cons
111
ref
10187
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
175
ref
subst
proveHyp
261
ref
262
ref
10186
remove
nil
cons
cons
2495
ref
cons
nil
cons
cons
205
ref
subst
eqMp
eqMp
nil
110
ref
10185
remove
nil
cons
cons
111
ref
10184
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
175
ref
subst
proveHyp
261
ref
262
ref
10183
remove
nil
cons
cons
5973
ref
cons
nil
cons
cons
205
ref
subst
eqMp
eqMp
10194
def
subst
appThm
sym
nil
110
ref
6947
ref
9546
ref
appTerm
nil
cons
10195
def
cons
111
ref
892
ref
9539
ref
appTerm
8751
ref
appTerm
8754
ref
appTerm
9542
ref
appTerm
nil
cons
10196
def
cons
nil
cons
10197
def
cons
nil
cons
cons
10198
def
126
ref
subst
10198
remove
194
ref
subst
nil
6962
remove
9551
ref
cons
nil
cons
cons
10199
def
167
ref
subst
10199
remove
334
ref
subst
9555
ref
9556
ref
9559
ref
9560
ref
9564
ref
9565
ref
857
ref
725
ref
29
ref
725
ref
26
ref
725
ref
542
ref
47
ref
271
ref
47
ref
48
ref
6947
ref
9567
ref
appTerm
absTerm
appTerm
absTerm
10200
def
appTerm
absTerm
10201
def
appTerm
absTerm
10202
def
appTerm
absTerm
10203
def
appTerm
absTerm
10204
def
861
ref
appTerm
betaConv
sym
10203
ref
39
ref
appTerm
betaConv
sym
10202
ref
41
ref
appTerm
betaConv
sym
10201
ref
547
ref
appTerm
betaConv
sym
10200
ref
74
ref
appTerm
betaConv
sym
48
ref
6947
ref
9573
ref
appTerm
absTerm
10205
def
240
ref
appTerm
betaConv
sym
216
ref
7181
remove
appThm
9575
ref
appThm
528
ref
trans
sym
145
ref
eqMp
eqMp
256
ref
257
ref
10205
remove
nil
cons
cons
704
ref
cons
nil
cons
cons
724
ref
subst
proveHyp
eqMp
256
ref
257
ref
10200
remove
nil
cons
cons
260
ref
cons
nil
cons
cons
724
ref
subst
proveHyp
eqMp
207
ref
208
ref
10201
remove
nil
cons
cons
595
ref
cons
nil
cons
cons
724
ref
subst
proveHyp
eqMp
207
ref
208
ref
10202
remove
nil
cons
cons
213
ref
cons
nil
cons
cons
724
ref
subst
proveHyp
eqMp
207
ref
208
ref
10203
remove
nil
cons
cons
210
ref
cons
nil
cons
cons
724
ref
subst
proveHyp
eqMp
207
ref
208
ref
10204
ref
nil
cons
cons
886
ref
cons
nil
cons
cons
724
ref
subst
proveHyp
nil
110
ref
725
ref
10204
remove
appTerm
nil
cons
cons
10197
remove
cons
nil
cons
cons
175
ref
subst
proveHyp
9577
ref
5102
ref
71
ref
725
ref
857
ref
725
ref
29
ref
725
ref
26
ref
725
ref
542
ref
47
ref
271
ref
47
ref
48
ref
6947
ref
9581
ref
appTerm
10206
def
absTerm
10207
def
appTerm
10208
def
absTerm
10209
def
appTerm
10210
def
absTerm
10211
def
appTerm
10212
def
absTerm
10213
def
appTerm
10214
def
absTerm
10215
def
appTerm
10216
def
absTerm
10217
def
appTerm
10218
def
appTerm
10219
def
892
remove
9578
ref
appTerm
3518
ref
appTerm
3521
ref
appTerm
5105
ref
appTerm
10220
def
appTerm
10221
def
absTerm
10222
def
5105
ref
appTerm
10223
def
betaConv
3513
ref
99
ref
10222
ref
appTerm
10224
def
absTerm
10225
def
3521
ref
appTerm
10226
def
betaConv
3515
ref
99
ref
10225
ref
appTerm
10227
def
absTerm
10228
def
3518
ref
appTerm
10229
def
betaConv
9576
ref
99
ref
10228
ref
appTerm
10230
def
absTerm
10231
def
9578
ref
appTerm
10232
def
betaConv
nil
208
ref
857
ref
99
ref
29
ref
99
ref
26
ref
99
ref
542
ref
65
ref
271
ref
65
ref
48
ref
99
ref
9576
ref
99
ref
3515
ref
99
ref
3513
ref
99
ref
5102
ref
71
ref
10206
ref
appTerm
10220
ref
appTerm
10233
def
absTerm
10234
def
appTerm
10235
def
absTerm
10236
def
appTerm
10237
def
absTerm
10238
def
appTerm
10239
def
absTerm
10240
def
appTerm
10241
def
absTerm
10242
def
appTerm
10243
def
absTerm
10244
def
appTerm
10245
def
absTerm
10246
def
appTerm
10247
def
absTerm
10248
def
appTerm
10249
def
absTerm
10250
def
appTerm
10251
def
absTerm
10252
def
nil
cons
cons
10253
def
nil
cons
nil
cons
cons
643
ref
subst
857
ref
nil
139
ref
10251
remove
nil
cons
10254
def
cons
nil
cons
nil
cons
cons
146
ref
subst
nil
208
ref
10250
ref
nil
cons
cons
10255
def
nil
cons
nil
cons
cons
643
ref
subst
29
ref
nil
139
ref
10249
remove
nil
cons
10256
def
cons
nil
cons
nil
cons
cons
146
ref
subst
nil
208
ref
10248
ref
nil
cons
cons
10257
def
nil
cons
nil
cons
cons
643
ref
subst
26
ref
nil
139
ref
10247
remove
nil
cons
10258
def
cons
nil
cons
nil
cons
cons
146
ref
subst
nil
208
ref
10246
ref
nil
cons
cons
10259
def
nil
cons
nil
cons
cons
643
ref
subst
542
ref
nil
139
ref
10245
remove
nil
cons
10260
def
cons
nil
cons
nil
cons
cons
146
ref
subst
nil
257
ref
10244
ref
nil
cons
cons
10261
def
nil
cons
nil
cons
cons
662
ref
subst
271
ref
nil
139
ref
10243
remove
nil
cons
10262
def
cons
nil
cons
nil
cons
cons
146
ref
subst
nil
257
ref
10242
ref
nil
cons
cons
10263
def
nil
cons
nil
cons
cons
662
ref
subst
48
ref
nil
139
ref
10241
remove
nil
cons
10264
def
cons
nil
cons
nil
cons
cons
146
ref
subst
nil
208
ref
10240
ref
nil
cons
cons
10265
def
nil
cons
nil
cons
cons
643
ref
subst
9576
ref
nil
139
ref
10239
remove
nil
cons
10266
def
cons
nil
cons
nil
cons
cons
146
ref
subst
nil
208
ref
10238
ref
nil
cons
cons
10267
def
nil
cons
nil
cons
cons
643
ref
subst
3515
ref
nil
139
ref
10237
remove
nil
cons
10268
def
cons
nil
cons
nil
cons
cons
146
ref
subst
nil
208
ref
10236
ref
nil
cons
cons
10269
def
nil
cons
nil
cons
cons
643
ref
subst
3513
ref
nil
139
ref
10235
remove
nil
cons
10270
def
cons
nil
cons
nil
cons
cons
146
ref
subst
nil
208
ref
10234
ref
nil
cons
cons
10271
def
nil
cons
nil
cons
cons
643
ref
subst
5102
ref
nil
139
ref
10233
remove
nil
cons
cons
nil
cons
nil
cons
cons
146
ref
subst
226
ref
216
ref
931
ref
appThm
9648
ref
appThm
appThm
9650
ref
931
remove
subst
appThm
sym
nil
110
ref
49
ref
918
ref
appTerm
9581
ref
appTerm
nil
cons
10272
def
cons
111
ref
725
ref
863
ref
725
ref
894
ref
725
ref
895
ref
9654
remove
49
ref
9652
remove
3521
ref
appTerm
10273
def
897
ref
appTerm
appTerm
10274
def
49
ref
9290
ref
902
ref
appTerm
appTerm
10275
def
908
remove
5105
ref
appTerm
appTerm
appTerm
appTerm
absTerm
appTerm
absTerm
appTerm
absTerm
10276
def
appTerm
10277
def
nil
cons
10278
def
cons
nil
cons
10279
def
cons
nil
cons
cons
10280
def
126
ref
subst
10280
remove
194
ref
subst
nil
151
ref
918
remove
nil
cons
10281
def
cons
9661
ref
cons
nil
cons
cons
10282
def
167
ref
subst
10282
remove
334
ref
subst
nil
110
ref
10281
remove
cons
10279
ref
cons
nil
cons
cons
175
ref
subst
nil
208
ref
863
ref
6965
remove
10277
ref
appTerm
10283
def
absTerm
nil
cons
cons
nil
cons
nil
cons
cons
643
ref
subst
863
ref
nil
139
ref
10283
remove
nil
cons
cons
nil
cons
nil
cons
cons
146
ref
subst
nil
6968
remove
10279
ref
cons
nil
cons
cons
10284
def
126
ref
subst
10284
remove
194
ref
subst
6971
remove
nil
6972
remove
10279
ref
cons
nil
cons
cons
175
ref
subst
proveHyp
nil
208
ref
894
ref
6974
remove
10277
ref
appTerm
10285
def
absTerm
nil
cons
cons
nil
cons
nil
cons
cons
643
ref
subst
894
ref
nil
139
ref
10285
remove
nil
cons
cons
nil
cons
nil
cons
cons
146
ref
subst
nil
6977
remove
10279
ref
cons
nil
cons
cons
10286
def
126
ref
subst
10286
remove
194
ref
subst
6980
remove
nil
6981
remove
10279
ref
cons
nil
cons
cons
175
ref
subst
proveHyp
nil
208
ref
895
ref
6983
remove
10277
ref
appTerm
10287
def
absTerm
nil
cons
cons
nil
cons
nil
cons
cons
643
ref
subst
895
ref
nil
139
ref
10287
remove
nil
cons
cons
nil
cons
nil
cons
cons
146
ref
subst
nil
6986
remove
10279
ref
cons
nil
cons
cons
10288
def
126
ref
subst
10288
remove
194
ref
subst
6989
remove
nil
6991
remove
10279
ref
cons
nil
cons
cons
10289
def
175
ref
subst
proveHyp
10289
ref
126
ref
subst
10289
remove
194
ref
subst
6993
remove
167
ref
subst
6994
remove
6998
remove
6999
remove
7004
remove
7005
remove
9668
ref
9669
ref
5205
ref
5206
ref
5209
ref
5210
ref
9681
ref
nil
9682
ref
10279
ref
cons
nil
cons
cons
175
ref
subst
proveHyp
9715
remove
nil
9716
ref
111
ref
9717
ref
10277
ref
appTerm
10290
def
nil
cons
cons
nil
cons
10291
def
cons
nil
cons
cons
194
ref
subst
proveHyp
nil
208
ref
9720
ref
9723
ref
10277
ref
appTerm
10292
def
absTerm
nil
cons
cons
nil
cons
nil
cons
cons
643
ref
subst
9720
ref
nil
139
ref
10292
remove
nil
cons
cons
nil
cons
nil
cons
cons
146
ref
subst
nil
9726
ref
10279
ref
cons
nil
cons
cons
10293
def
126
ref
subst
10293
remove
194
ref
subst
9728
ref
nil
9731
ref
10279
ref
cons
nil
cons
cons
10294
def
175
ref
subst
proveHyp
10294
ref
126
ref
subst
10294
remove
194
ref
subst
48
ref
71
ref
1800
ref
7006
ref
appTerm
10295
def
appTerm
725
ref
26
ref
235
ref
897
ref
appTerm
275
ref
appTerm
57
ref
appTerm
10296
def
41
ref
appTerm
absTerm
10297
def
appTerm
10298
def
appTerm
10299
def
absTerm
10300
def
57
ref
appTerm
10301
def
betaConv
271
ref
65
ref
10300
ref
appTerm
10302
def
absTerm
10303
def
275
ref
appTerm
10304
def
betaConv
2087
ref
897
ref
appTerm
10305
def
betaConv
2090
ref
nil
2091
ref
111
ref
10305
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
175
ref
subst
proveHyp
207
ref
2092
ref
7092
ref
cons
nil
cons
cons
205
ref
subst
eqMp
eqMp
nil
110
ref
65
ref
10303
ref
appTerm
nil
cons
cons
111
ref
10304
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
175
ref
subst
proveHyp
256
ref
257
ref
10303
remove
nil
cons
cons
291
ref
cons
nil
cons
cons
205
ref
subst
eqMp
eqMp
nil
110
ref
10302
remove
nil
cons
cons
111
ref
10301
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
175
ref
subst
proveHyp
256
ref
257
ref
10300
remove
nil
cons
cons
293
ref
cons
nil
cons
cons
205
ref
subst
eqMp
eqMp
nil
110
ref
10299
ref
nil
cons
cons
10279
ref
cons
nil
cons
cons
175
ref
subst
proveHyp
48
ref
71
ref
899
ref
6779
ref
appTerm
appTerm
7008
remove
appTerm
absTerm
10306
def
6777
ref
appTerm
10307
def
betaConv
9689
ref
897
ref
appTerm
10308
def
betaConv
9691
remove
41
ref
appTerm
10309
def
betaConv
9694
remove
nil
9695
remove
111
ref
10309
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
175
ref
subst
proveHyp
207
ref
9696
remove
213
ref
cons
nil
cons
cons
205
ref
subst
eqMp
eqMp
nil
110
ref
9690
remove
nil
cons
cons
111
ref
10308
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
175
ref
subst
proveHyp
207
ref
208
ref
9689
remove
nil
cons
cons
7092
ref
cons
nil
cons
cons
205
ref
subst
eqMp
eqMp
nil
110
ref
65
ref
10306
ref
appTerm
nil
cons
cons
111
ref
10307
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
175
ref
subst
proveHyp
256
ref
257
ref
10306
remove
nil
cons
cons
7115
ref
cons
nil
cons
cons
205
ref
subst
eqMp
eqMp
nil
110
ref
71
ref
7111
remove
appTerm
7118
ref
appTerm
nil
cons
cons
111
ref
10295
ref
nil
cons
10310
def
cons
nil
cons
10311
def
cons
nil
cons
cons
175
ref
subst
proveHyp
226
ref
226
ref
7117
remove
appThm
7118
remove
refl
appThm
nil
139
ref
7119
ref
cons
nil
cons
nil
cons
cons
840
ref
subst
trans
appThm
10295
ref
refl
appThm
sym
nil
7122
remove
10311
remove
cons
nil
cons
cons
10312
def
126
ref
subst
10312
remove
194
ref
subst
36
ref
"_32343"
44
ref
var
10313
def
1800
ref
10313
remove
varTerm
appTerm
absTerm
7006
remove
appTerm
10314
def
appTerm
refl
9706
remove
appThm
155
ref
10314
remove
betaConv
appThm
9708
remove
appThm
trans
9709
ref
7468
remove
appThm
eqMp
sym
9713
remove
eqMp
eqMp
nil
151
ref
7119
remove
cons
153
ref
10310
ref
cons
nil
cons
cons
nil
cons
cons
167
ref
subst
deductAntisym
eqMp
eqMp
eqMp
nil
110
ref
10310
remove
cons
10315
def
111
ref
71
ref
10298
ref
appTerm
10277
ref
appTerm
10316
def
nil
cons
cons
nil
cons
10317
def
cons
nil
cons
cons
194
ref
subst
proveHyp
nil
208
ref
"wys"
2
ref
var
10318
def
71
ref
10297
ref
10318
ref
varTerm
10319
def
appTerm
10320
def
appTerm
10277
ref
appTerm
10321
def
absTerm
nil
cons
cons
nil
cons
nil
cons
cons
643
ref
subst
10318
remove
nil
139
ref
10321
remove
nil
cons
cons
nil
cons
nil
cons
cons
146
ref
subst
nil
110
ref
10320
ref
nil
cons
10322
def
cons
10279
ref
cons
nil
cons
cons
10323
def
126
ref
subst
10323
remove
194
ref
subst
10320
ref
betaConv
10320
remove
assume
eqMp
nil
110
ref
10296
remove
10319
ref
appTerm
10324
def
nil
cons
10325
def
cons
10279
ref
cons
nil
cons
cons
10326
def
175
ref
subst
proveHyp
10326
ref
126
ref
subst
10326
remove
194
ref
subst
48
ref
71
ref
1800
ref
7010
ref
appTerm
10327
def
appTerm
725
ref
26
ref
235
remove
902
ref
appTerm
275
ref
appTerm
57
ref
appTerm
10328
def
41
ref
appTerm
absTerm
10329
def
appTerm
10330
def
appTerm
10331
def
absTerm
10332
def
57
ref
appTerm
10333
def
betaConv
271
ref
65
ref
10332
ref
appTerm
10334
def
absTerm
10335
def
275
ref
appTerm
10336
def
betaConv
2087
remove
902
ref
appTerm
10337
def
betaConv
2090
remove
nil
2091
remove
111
ref
10337
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
175
ref
subst
proveHyp
207
ref
2092
remove
7094
ref
cons
nil
cons
cons
205
ref
subst
eqMp
eqMp
nil
110
ref
65
ref
10335
ref
appTerm
nil
cons
cons
111
ref
10336
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
175
ref
subst
proveHyp
256
ref
257
ref
10335
remove
nil
cons
cons
291
ref
cons
nil
cons
cons
205
ref
subst
eqMp
eqMp
nil
110
ref
10334
remove
nil
cons
cons
111
ref
10333
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
175
ref
subst
proveHyp
256
ref
257
ref
10332
remove
nil
cons
cons
293
ref
cons
nil
cons
cons
205
ref
subst
eqMp
eqMp
nil
110
ref
10331
ref
nil
cons
cons
10279
ref
cons
nil
cons
cons
175
ref
subst
proveHyp
48
ref
71
ref
904
ref
58
remove
appTerm
appTerm
7012
remove
appTerm
absTerm
10338
def
55
ref
appTerm
10339
def
betaConv
5791
remove
902
ref
appTerm
10340
def
betaConv
5840
remove
nil
6054
remove
111
ref
10340
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
175
ref
subst
proveHyp
207
ref
5800
remove
7094
ref
cons
nil
cons
cons
205
ref
subst
eqMp
eqMp
nil
110
ref
65
ref
10338
ref
appTerm
nil
cons
cons
111
ref
10339
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
175
ref
subst
proveHyp
256
ref
257
ref
10338
remove
nil
cons
cons
658
remove
cons
nil
cons
cons
205
ref
subst
eqMp
eqMp
nil
110
ref
71
ref
904
ref
5443
remove
appTerm
appTerm
7011
remove
55
ref
appTerm
10341
def
appTerm
nil
cons
cons
111
ref
10327
ref
nil
cons
10342
def
cons
nil
cons
10343
def
cons
nil
cons
cons
175
ref
subst
proveHyp
226
ref
226
ref
7413
ref
659
remove
appThm
528
ref
trans
appThm
10341
ref
refl
appThm
nil
139
ref
10341
ref
nil
cons
10344
def
cons
nil
cons
nil
cons
cons
840
remove
subst
trans
appThm
10327
ref
refl
appThm
sym
nil
110
ref
10344
ref
cons
10343
remove
cons
nil
cons
cons
10345
def
126
ref
subst
10345
remove
194
ref
subst
36
ref
"_32345"
44
ref
var
10346
def
1800
remove
10346
remove
varTerm
appTerm
absTerm
10347
def
7010
remove
appTerm
10348
def
appTerm
refl
10347
remove
55
remove
appTerm
betaConv
appThm
155
ref
10348
remove
betaConv
appThm
1801
remove
refl
appThm
trans
9709
remove
10341
remove
assume
appThm
eqMp
sym
2011
remove
3518
ref
appTerm
betaConv
sym
3621
remove
eqMp
207
ref
2065
remove
3576
ref
cons
nil
cons
cons
724
ref
subst
proveHyp
2045
remove
175
ref
subst
proveHyp
2066
remove
eqMp
eqMp
eqMp
nil
151
ref
10344
remove
cons
153
ref
10342
ref
cons
nil
cons
cons
nil
cons
cons
167
ref
subst
deductAntisym
eqMp
eqMp
eqMp
nil
110
ref
10342
remove
cons
10349
def
111
ref
71
ref
10330
ref
appTerm
10277
ref
appTerm
10350
def
nil
cons
cons
nil
cons
10351
def
cons
nil
cons
cons
194
ref
subst
proveHyp
nil
208
ref
"xys"
2
remove
var
10352
def
71
ref
10329
ref
10352
ref
varTerm
10353
def
appTerm
10354
def
appTerm
10277
ref
appTerm
10355
def
absTerm
nil
cons
cons
nil
cons
nil
cons
cons
643
ref
subst
10352
remove
nil
139
ref
10355
remove
nil
cons
cons
nil
cons
nil
cons
cons
146
ref
subst
nil
110
ref
10354
ref
nil
cons
10356
def
cons
10279
ref
cons
nil
cons
cons
10357
def
126
ref
subst
10357
remove
194
ref
subst
10354
ref
betaConv
10354
remove
assume
eqMp
nil
110
ref
10328
remove
10353
ref
appTerm
10358
def
nil
cons
10359
def
cons
10279
remove
cons
nil
cons
cons
10360
def
175
ref
subst
proveHyp
10360
ref
126
ref
subst
10360
remove
194
ref
subst
10276
ref
9721
ref
appTerm
betaConv
sym
894
remove
725
ref
895
ref
49
ref
9748
remove
appTerm
10361
def
10274
remove
10275
ref
905
ref
9721
ref
appTerm
10362
def
897
ref
appTerm
902
ref
appTerm
5105
ref
appTerm
appTerm
appTerm
appTerm
absTerm
appTerm
absTerm
10363
def
10319
ref
appTerm
betaConv
sym
895
remove
10361
remove
49
ref
10273
remove
10319
ref
appTerm
10364
def
appTerm
10365
def
10275
remove
10362
remove
10319
ref
appTerm
10366
def
902
ref
appTerm
5105
ref
appTerm
appTerm
appTerm
appTerm
absTerm
10367
def
10353
ref
appTerm
betaConv
sym
9827
remove
nil
9828
remove
111
ref
10365
remove
49
ref
9290
remove
10353
ref
appTerm
10368
def
appTerm
10366
remove
10353
ref
appTerm
5105
ref
appTerm
10369
def
appTerm
10370
def
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
194
ref
subst
proveHyp
29
ref
725
ref
26
ref
725
ref
542
ref
47
ref
271
ref
47
ref
48
ref
5786
ref
9733
remove
5104
ref
5067
ref
10319
ref
appTerm
appTerm
10371
def
appTerm
appTerm
absTerm
appTerm
absTerm
appTerm
absTerm
appTerm
absTerm
appTerm
absTerm
10372
def
861
ref
appTerm
betaConv
sym
26
ref
725
ref
542
ref
47
ref
271
ref
47
ref
48
ref
9688
remove
9580
ref
10371
remove
appTerm
appTerm
absTerm
appTerm
absTerm
appTerm
absTerm
10373
def
appTerm
absTerm
10374
def
41
ref
appTerm
betaConv
sym
10373
ref
897
ref
appTerm
betaConv
sym
271
ref
47
ref
48
ref
899
remove
9580
remove
5104
ref
10324
ref
appTerm
appTerm
appTerm
absTerm
10375
def
appTerm
absTerm
10376
def
275
ref
appTerm
betaConv
sym
10375
ref
57
ref
appTerm
betaConv
sym
7113
remove
9745
remove
3839
ref
nil
139
ref
10325
ref
cons
nil
cons
nil
cons
cons
146
ref
subst
10324
ref
assume
eqMp
10377
def
appThm
528
ref
trans
appThm
528
ref
trans
appThm
528
ref
trans
sym
145
ref
eqMp
eqMp
256
ref
257
ref
10375
remove
nil
cons
cons
293
ref
cons
nil
cons
cons
724
ref
subst
proveHyp
eqMp
256
ref
257
ref
10376
remove
nil
cons
cons
291
ref
cons
nil
cons
cons
724
ref
subst
proveHyp
eqMp
207
ref
208
ref
10373
remove
nil
cons
cons
7092
ref
cons
nil
cons
cons
724
ref
subst
proveHyp
eqMp
207
ref
208
ref
10374
remove
nil
cons
cons
213
ref
cons
nil
cons
cons
724
ref
subst
proveHyp
eqMp
207
ref
208
ref
10372
ref
nil
cons
cons
886
ref
cons
nil
cons
cons
724
ref
subst
proveHyp
nil
110
ref
725
ref
10372
remove
appTerm
nil
cons
cons
111
ref
10364
remove
nil
cons
10378
def
cons
nil
cons
cons
nil
cons
cons
175
ref
subst
proveHyp
nil
5102
ref
10319
ref
nil
cons
10379
def
cons
9751
remove
cons
nil
cons
cons
9826
ref
subst
eqMp
nil
110
ref
10378
remove
cons
111
ref
10370
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
194
ref
subst
proveHyp
29
ref
725
ref
26
ref
725
ref
542
ref
47
ref
271
ref
47
ref
48
ref
5786
remove
3520
ref
5104
ref
5067
remove
10353
ref
appTerm
appTerm
appTerm
appTerm
absTerm
appTerm
absTerm
appTerm
absTerm
10380
def
appTerm
absTerm
10381
def
appTerm
absTerm
10382
def
39
ref
appTerm
betaConv
sym
10381
ref
41
ref
appTerm
betaConv
sym
10380
ref
902
ref
appTerm
betaConv
sym
271
ref
47
ref
48
ref
904
remove
3520
remove
5104
remove
10358
ref
appTerm
appTerm
appTerm
absTerm
10383
def
appTerm
absTerm
10384
def
275
ref
appTerm
betaConv
sym
10383
ref
57
ref
appTerm
betaConv
sym
7413
remove
3682
remove
3839
remove
nil
139
ref
10359
ref
cons
nil
cons
nil
cons
cons
146
ref
subst
10358
ref
assume
eqMp
10385
def
appThm
528
ref
trans
appThm
528
ref
trans
appThm
528
ref
trans
sym
145
ref
eqMp
eqMp
256
ref
257
ref
10383
remove
nil
cons
cons
293
ref
cons
nil
cons
cons
724
ref
subst
proveHyp
eqMp
256
ref
257
ref
10384
remove
nil
cons
cons
291
ref
cons
nil
cons
cons
724
ref
subst
proveHyp
eqMp
207
ref
208
ref
10380
remove
nil
cons
cons
7094
ref
cons
nil
cons
cons
724
ref
subst
proveHyp
eqMp
207
ref
208
ref
10381
remove
nil
cons
cons
213
ref
cons
nil
cons
cons
724
ref
subst
proveHyp
eqMp
207
ref
208
ref
10382
ref
nil
cons
cons
210
ref
cons
nil
cons
cons
724
ref
subst
proveHyp
nil
110
ref
725
ref
10382
remove
appTerm
nil
cons
cons
111
ref
10368
remove
nil
cons
10386
def
cons
nil
cons
cons
nil
cons
cons
175
ref
subst
proveHyp
nil
5102
ref
10353
ref
nil
cons
10387
def
cons
nil
cons
nil
cons
cons
9826
remove
subst
eqMp
nil
110
ref
10386
remove
cons
111
ref
10369
remove
nil
cons
cons
nil
cons
10388
def
cons
nil
cons
cons
194
ref
subst
proveHyp
857
ref
725
ref
29
ref
725
ref
26
ref
725
ref
542
ref
47
ref
271
ref
47
ref
48
ref
7182
ref
49
ref
9566
remove
9721
ref
appTerm
appTerm
49
ref
699
remove
10319
remove
appTerm
appTerm
49
ref
1262
remove
10353
remove
appTerm
appTerm
5106
ref
appTerm
10389
def
appTerm
10390
def
appTerm
appTerm
absTerm
appTerm
absTerm
appTerm
absTerm
appTerm
absTerm
appTerm
absTerm
appTerm
absTerm
10391
def
866
ref
appTerm
betaConv
sym
29
ref
725
ref
26
ref
725
ref
542
ref
47
ref
271
ref
47
ref
48
ref
49
ref
7024
remove
appTerm
9832
ref
10390
remove
appTerm
appTerm
absTerm
appTerm
absTerm
appTerm
absTerm
appTerm
absTerm
appTerm
absTerm
10392
def
897
remove
appTerm
betaConv
sym
26
ref
725
ref
542
ref
47
ref
271
ref
47
ref
48
ref
49
ref
7021
remove
appTerm
9832
ref
49
ref
10324
remove
appTerm
10393
def
10389
remove
appTerm
appTerm
appTerm
absTerm
appTerm
absTerm
appTerm
absTerm
appTerm
absTerm
10394
def
902
remove
appTerm
betaConv
sym
542
ref
47
ref
271
ref
47
ref
48
ref
49
ref
909
remove
appTerm
9832
remove
10393
remove
49
ref
10358
remove
appTerm
5106
remove
appTerm
appTerm
appTerm
appTerm
absTerm
10395
def
appTerm
absTerm
10396
def
appTerm
absTerm
10397
def
547
ref
appTerm
betaConv
sym
10396
ref
275
ref
appTerm
betaConv
sym
10395
ref
57
ref
appTerm
betaConv
sym
216
ref
7095
remove
appThm
9838
remove
216
ref
10377
remove
appThm
216
ref
10385
remove
appThm
5225
remove
appThm
528
ref
trans
appThm
528
ref
trans
appThm
528
ref
trans
appThm
528
ref
trans
sym
145
ref
eqMp
eqMp
256
ref
257
ref
10395
remove
nil
cons
cons
293
ref
cons
nil
cons
cons
724
ref
subst
proveHyp
eqMp
256
ref
257
ref
10396
remove
nil
cons
cons
291
ref
cons
nil
cons
cons
724
ref
subst
proveHyp
eqMp
207
ref
208
ref
10397
remove
nil
cons
cons
595
ref
cons
nil
cons
cons
724
ref
subst
proveHyp
eqMp
207
ref
208
ref
10394
remove
nil
cons
cons
7094
remove
cons
nil
cons
cons
724
ref
subst
proveHyp
eqMp
207
ref
208
ref
10392
remove
nil
cons
cons
7092
remove
cons
nil
cons
cons
724
ref
subst
proveHyp
eqMp
207
ref
208
ref
10391
ref
nil
cons
cons
6850
ref
cons
nil
cons
cons
724
ref
subst
proveHyp
nil
110
ref
725
ref
10391
remove
appTerm
nil
cons
cons
10388
remove
cons
nil
cons
cons
175
ref
subst
proveHyp
nil
3513
ref
10387
ref
cons
3515
ref
10379
ref
cons
9576
ref
9750
remove
cons
nil
cons
cons
cons
nil
cons
cons
5102
ref
71
ref
725
ref
857
ref
725
ref
29
ref
725
ref
26
ref
725
ref
542
ref
47
ref
271
ref
47
ref
48
ref
7182
ref
9581
ref
appTerm
10398
def
absTerm
10399
def
appTerm
10400
def
absTerm
10401
def
appTerm
10402
def
absTerm
10403
def
appTerm
10404
def
absTerm
10405
def
appTerm
10406
def
absTerm
10407
def
appTerm
10408
def
absTerm
10409
def
appTerm
10410
def
appTerm
10411
def
905
ref
9578
ref
appTerm
3518
ref
appTerm
3521
ref
appTerm
5105
ref
appTerm
10412
def
appTerm
10413
def
absTerm
10414
def
5105
ref
appTerm
10415
def
betaConv
3513
ref
99
ref
10414
ref
appTerm
10416
def
absTerm
10417
def
3521
ref
appTerm
10418
def
betaConv
3515
ref
99
ref
10417
ref
appTerm
10419
def
absTerm
10420
def
3518
ref
appTerm
10421
def
betaConv
9576
ref
99
ref
10420
ref
appTerm
10422
def
absTerm
10423
def
9578
ref
appTerm
10424
def
betaConv
nil
208
ref
857
ref
99
ref
29
ref
99
ref
26
ref
99
ref
542
ref
65
ref
271
ref
65
ref
48
ref
99
ref
9576
ref
99
ref
3515
ref
99
ref
3513
ref
99
ref
5102
ref
71
ref
10398
ref
appTerm
10412
ref
appTerm
10425
def
absTerm
10426
def
appTerm
10427
def
absTerm
10428
def
appTerm
10429
def
absTerm
10430
def
appTerm
10431
def
absTerm
10432
def
appTerm
10433
def
absTerm
10434
def
appTerm
10435
def
absTerm
10436
def
appTerm
10437
def
absTerm
10438
def
appTerm
10439
def
absTerm
10440
def
appTerm
10441
def
absTerm
10442
def
appTerm
10443
def
absTerm
10444
def
nil
cons
cons
10445
def
nil
cons
nil
cons
cons
643
ref
subst
857
ref
nil
139
ref
10443
remove
nil
cons
10446
def
cons
nil
cons
nil
cons
cons
146
ref
subst
nil
208
ref
10442
ref
nil
cons
cons
10447
def
nil
cons
nil
cons
cons
643
ref
subst
29
ref
nil
139
ref
10441
remove
nil
cons
10448
def
cons
nil
cons
nil
cons
cons
146
ref
subst
nil
208
ref
10440
ref
nil
cons
cons
10449
def
nil
cons
nil
cons
cons
643
ref
subst
26
ref
nil
139
ref
10439
remove
nil
cons
10450
def
cons
nil
cons
nil
cons
cons
146
ref
subst
nil
208
ref
10438
ref
nil
cons
cons
10451
def
nil
cons
nil
cons
cons
643
ref
subst
542
ref
nil
139
ref
10437
remove
nil
cons
10452
def
cons
nil
cons
nil
cons
cons
146
ref
subst
nil
257
ref
10436
ref
nil
cons
cons
10453
def
nil
cons
nil
cons
cons
662
ref
subst
271
ref
nil
139
ref
10435
remove
nil
cons
10454
def
cons
nil
cons
nil
cons
cons
146
ref
subst
nil
257
ref
10434
ref
nil
cons
cons
10455
def
nil
cons
nil
cons
cons
662
ref
subst
48
ref
nil
139
ref
10433
remove
nil
cons
10456
def
cons
nil
cons
nil
cons
cons
146
ref
subst
nil
208
ref
10432
ref
nil
cons
cons
10457
def
nil
cons
nil
cons
cons
643
ref
subst
9576
ref
nil
139
ref
10431
remove
nil
cons
10458
def
cons
nil
cons
nil
cons
cons
146
ref
subst
nil
208
ref
10430
ref
nil
cons
cons
10459
def
nil
cons
nil
cons
cons
643
ref
subst
3515
ref
nil
139
ref
10429
remove
nil
cons
10460
def
cons
nil
cons
nil
cons
cons
146
ref
subst
nil
208
ref
10428
ref
nil
cons
cons
10461
def
nil
cons
nil
cons
cons
643
ref
subst
3513
ref
nil
139
ref
10427
remove
nil
cons
10462
def
cons
nil
cons
nil
cons
cons
146
ref
subst
nil
208
ref
10426
ref
nil
cons
cons
10463
def
nil
cons
nil
cons
cons
643
ref
subst
5102
ref
nil
139
ref
10425
remove
nil
cons
cons
nil
cons
nil
cons
cons
146
ref
subst
226
ref
216
ref
964
ref
appThm
9648
ref
appThm
appThm
9650
ref
964
remove
subst
appThm
sym
nil
110
ref
49
ref
951
ref
appTerm
9581
ref
appTerm
nil
cons
10464
def
cons
111
ref
725
ref
863
ref
49
ref
606
ref
9578
ref
appTerm
3518
ref
appTerm
10465
def
866
ref
appTerm
appTerm
947
remove
3521
ref
appTerm
5105
ref
appTerm
appTerm
absTerm
10466
def
appTerm
10467
def
nil
cons
10468
def
cons
nil
cons
10469
def
cons
nil
cons
cons
10470
def
126
ref
subst
10470
remove
194
ref
subst
nil
151
ref
951
remove
nil
cons
10471
def
cons
9661
ref
cons
nil
cons
cons
10472
def
167
ref
subst
10472
remove
334
ref
subst
nil
110
ref
10471
remove
cons
10469
ref
cons
nil
cons
cons
175
ref
subst
nil
208
ref
863
ref
7039
remove
10467
ref
appTerm
10473
def
absTerm
nil
cons
cons
nil
cons
nil
cons
cons
643
ref
subst
863
ref
nil
139
ref
10473
remove
nil
cons
cons
nil
cons
nil
cons
cons
146
ref
subst
nil
7042
remove
10469
ref
cons
nil
cons
cons
10474
def
126
ref
subst
10474
remove
194
ref
subst
7045
remove
nil
7047
remove
10469
ref
cons
nil
cons
cons
10475
def
175
ref
subst
proveHyp
10475
ref
126
ref
subst
10475
remove
194
ref
subst
7053
remove
7054
remove
9668
ref
9669
ref
5205
ref
5206
ref
5209
ref
5210
ref
9681
ref
nil
9682
ref
10469
ref
cons
nil
cons
cons
175
ref
subst
proveHyp
48
ref
71
ref
946
ref
6779
ref
appTerm
appTerm
6853
ref
appTerm
absTerm
10476
def
6777
ref
appTerm
10477
def
betaConv
542
ref
65
ref
48
ref
71
ref
49
ref
7055
remove
appTerm
10478
def
6779
ref
appTerm
appTerm
550
ref
appTerm
absTerm
appTerm
absTerm
10479
def
866
ref
appTerm
10480
def
betaConv
26
ref
99
ref
542
ref
65
ref
48
ref
71
ref
49
ref
7059
remove
appTerm
10481
def
6779
ref
appTerm
appTerm
550
ref
appTerm
absTerm
appTerm
absTerm
appTerm
absTerm
10482
def
39
ref
appTerm
10483
def
betaConv
5852
remove
861
ref
appTerm
10484
def
betaConv
5861
remove
nil
6400
remove
111
ref
10484
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
175
ref
subst
proveHyp
207
ref
5853
remove
886
ref
cons
nil
cons
cons
205
ref
subst
eqMp
eqMp
nil
110
ref
99
ref
10482
ref
appTerm
nil
cons
cons
111
ref
10483
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
175
ref
subst
proveHyp
207
ref
208
ref
10482
remove
nil
cons
cons
210
ref
cons
nil
cons
cons
205
ref
subst
eqMp
eqMp
nil
110
ref
99
ref
10479
ref
appTerm
nil
cons
cons
111
ref
10480
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
175
ref
subst
proveHyp
207
ref
208
ref
10479
remove
nil
cons
cons
6850
ref
cons
nil
cons
cons
205
ref
subst
eqMp
eqMp
nil
110
ref
65
ref
10476
ref
appTerm
nil
cons
cons
111
ref
10477
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
175
ref
subst
proveHyp
256
ref
257
ref
10476
remove
nil
cons
cons
7115
ref
cons
nil
cons
cons
205
ref
subst
eqMp
eqMp
nil
110
ref
71
ref
946
ref
7110
ref
appTerm
appTerm
7360
ref
appTerm
nil
cons
cons
9698
ref
cons
nil
cons
cons
175
ref
subst
proveHyp
226
ref
226
ref
7457
remove
appThm
9699
ref
appThm
9700
ref
trans
appThm
9701
ref
appThm
sym
9714
ref
eqMp
eqMp
nil
9716
ref
111
ref
9717
ref
10467
ref
appTerm
10485
def
nil
cons
cons
nil
cons
10486
def
cons
nil
cons
cons
194
ref
subst
proveHyp
nil
208
ref
9720
ref
9723
ref
10467
ref
appTerm
10487
def
absTerm
nil
cons
cons
nil
cons
nil
cons
cons
643
ref
subst
9720
ref
nil
139
ref
10487
remove
nil
cons
cons
nil
cons
nil
cons
cons
146
ref
subst
nil
9726
ref
10469
ref
cons
nil
cons
cons
10488
def
126
ref
subst
10488
remove
194
ref
subst
9728
ref
nil
9731
ref
10469
remove
cons
nil
cons
cons
10489
def
175
ref
subst
proveHyp
10489
ref
126
ref
subst
10489
remove
194
ref
subst
10466
ref
9721
ref
appTerm
betaConv
sym
29
ref
725
ref
26
ref
725
ref
542
ref
47
ref
271
ref
47
ref
48
ref
5843
ref
9736
ref
appTerm
absTerm
appTerm
absTerm
appTerm
absTerm
appTerm
absTerm
appTerm
absTerm
10490
def
861
ref
appTerm
betaConv
sym
26
ref
725
ref
542
ref
47
ref
271
ref
47
ref
48
ref
10481
remove
9738
ref
appTerm
absTerm
appTerm
absTerm
appTerm
absTerm
appTerm
absTerm
10491
def
39
ref
appTerm
betaConv
sym
542
ref
47
ref
271
ref
47
ref
48
ref
10478
remove
9740
ref
appTerm
absTerm
appTerm
absTerm
appTerm
absTerm
10492
def
866
ref
appTerm
betaConv
sym
271
ref
47
ref
48
ref
946
remove
9742
ref
appTerm
absTerm
10493
def
appTerm
absTerm
10494
def
275
ref
appTerm
betaConv
sym
10493
ref
57
ref
appTerm
betaConv
sym
7456
remove
9747
ref
appThm
528
ref
trans
sym
145
ref
eqMp
eqMp
256
ref
257
ref
10493
remove
nil
cons
cons
293
ref
cons
nil
cons
cons
724
ref
subst
proveHyp
eqMp
256
ref
257
ref
10494
remove
nil
cons
cons
291
ref
cons
nil
cons
cons
724
ref
subst
proveHyp
eqMp
207
ref
208
ref
10492
remove
nil
cons
cons
6850
ref
cons
nil
cons
cons
724
ref
subst
proveHyp
eqMp
207
ref
208
ref
10491
remove
nil
cons
cons
210
ref
cons
nil
cons
cons
724
ref
subst
proveHyp
eqMp
207
ref
208
ref
10490
ref
nil
cons
cons
886
ref
cons
nil
cons
cons
724
ref
subst
proveHyp
nil
110
ref
725
ref
10490
remove
appTerm
nil
cons
cons
111
ref
10465
remove
9721
ref
appTerm
nil
cons
10495
def
cons
nil
cons
cons
nil
cons
cons
175
ref
subst
proveHyp
9752
ref
5102
ref
71
ref
725
ref
29
ref
725
ref
26
ref
725
ref
542
ref
47
ref
271
ref
47
ref
48
ref
9326
ref
absTerm
10496
def
appTerm
10497
def
absTerm
10498
def
appTerm
10499
def
absTerm
10500
def
appTerm
10501
def
absTerm
10502
def
appTerm
10503
def
absTerm
10504
def
appTerm
10505
def
appTerm
10506
def
9327
ref
appTerm
10507
def
absTerm
10508
def
5105
ref
appTerm
10509
def
betaConv
3513
ref
99
ref
10508
ref
appTerm
10510
def
absTerm
10511
def
3521
ref
appTerm
10512
def
betaConv
3515
ref
99
ref
10511
ref
appTerm
10513
def
absTerm
10514
def
3518
ref
appTerm
10515
def
betaConv
9359
remove
nil
110
ref
9360
ref
nil
cons
10516
def
cons
10517
def
111
ref
99
ref
10514
ref
appTerm
nil
cons
10518
def
cons
nil
cons
cons
nil
cons
cons
10519
def
175
ref
subst
proveHyp
10519
ref
126
ref
subst
10519
remove
194
ref
subst
nil
208
ref
10514
remove
nil
cons
cons
10520
def
nil
cons
nil
cons
cons
643
ref
subst
3515
ref
nil
139
ref
10513
remove
nil
cons
10521
def
cons
nil
cons
nil
cons
cons
146
ref
subst
nil
208
ref
10511
remove
nil
cons
cons
10522
def
nil
cons
nil
cons
cons
643
ref
subst
3513
ref
nil
139
ref
10510
remove
nil
cons
10523
def
cons
nil
cons
nil
cons
cons
146
ref
subst
nil
208
ref
10508
remove
nil
cons
cons
10524
def
nil
cons
nil
cons
cons
643
ref
subst
5102
ref
nil
139
ref
10507
remove
nil
cons
cons
nil
cons
nil
cons
cons
146
ref
subst
nil
110
ref
10505
remove
nil
cons
10525
def
cons
10526
def
111
ref
9327
ref
nil
cons
10527
def
cons
nil
cons
10528
def
cons
nil
cons
cons
10529
def
126
ref
subst
10529
remove
194
ref
subst
nil
10517
ref
10528
ref
cons
nil
cons
cons
10530
def
175
ref
subst
nil
10526
remove
111
ref
71
ref
9360
remove
appTerm
9327
remove
appTerm
10531
def
nil
cons
10532
def
cons
nil
cons
10533
def
cons
nil
cons
cons
175
ref
subst
nil
208
ref
29
ref
71
ref
10504
ref
39
ref
appTerm
10534
def
appTerm
10531
ref
appTerm
10535
def
absTerm
10536
def
nil
cons
cons
nil
cons
nil
cons
cons
643
ref
subst
29
ref
nil
139
ref
10535
remove
nil
cons
cons
nil
cons
nil
cons
cons
146
ref
subst
nil
110
ref
10534
ref
nil
cons
10537
def
cons
10533
ref
cons
nil
cons
cons
10538
def
126
ref
subst
10538
remove
194
ref
subst
10534
ref
betaConv
10534
remove
assume
eqMp
nil
110
ref
10503
ref
nil
cons
cons
10533
ref
cons
nil
cons
cons
175
ref
subst
proveHyp
nil
208
ref
26
ref
71
ref
10502
ref
41
ref
appTerm
10539
def
appTerm
10531
ref
appTerm
10540
def
absTerm
nil
cons
cons
nil
cons
nil
cons
cons
643
ref
subst
26
ref
nil
139
ref
10540
remove
nil
cons
cons
nil
cons
nil
cons
cons
146
ref
subst
nil
110
ref
10539
ref
nil
cons
10541
def
cons
10533
ref
cons
nil
cons
cons
10542
def
126
ref
subst
10542
remove
194
ref
subst
10539
ref
betaConv
10539
remove
assume
eqMp
nil
110
ref
10501
ref
nil
cons
cons
10533
ref
cons
nil
cons
cons
175
ref
subst
proveHyp
nil
208
ref
542
ref
71
ref
10500
ref
547
ref
appTerm
10543
def
appTerm
10531
ref
appTerm
10544
def
absTerm
nil
cons
cons
nil
cons
nil
cons
cons
643
ref
subst
542
ref
nil
139
ref
10544
remove
nil
cons
cons
nil
cons
nil
cons
cons
146
ref
subst
nil
110
ref
10543
ref
nil
cons
10545
def
cons
10533
ref
cons
nil
cons
cons
10546
def
126
ref
subst
10546
remove
194
ref
subst
10543
ref
betaConv
10543
remove
assume
eqMp
nil
110
ref
10499
ref
nil
cons
cons
10533
ref
cons
nil
cons
cons
175
ref
subst
proveHyp
nil
257
ref
271
ref
71
ref
10498
ref
275
ref
appTerm
10547
def
appTerm
10531
ref
appTerm
10548
def
absTerm
nil
cons
cons
nil
cons
nil
cons
cons
662
ref
subst
271
ref
nil
139
ref
10548
remove
nil
cons
cons
nil
cons
nil
cons
cons
146
ref
subst
nil
110
ref
10547
ref
nil
cons
10549
def
cons
10533
ref
cons
nil
cons
cons
10550
def
126
ref
subst
10550
remove
194
ref
subst
10547
ref
betaConv
10547
remove
assume
eqMp
nil
110
ref
10497
ref
nil
cons
cons
10533
ref
cons
nil
cons
cons
175
ref
subst
proveHyp
nil
257
ref
48
ref
71
ref
10496
ref
57
ref
appTerm
10551
def
appTerm
10531
ref
appTerm
10552
def
absTerm
nil
cons
cons
nil
cons
nil
cons
cons
662
ref
subst
48
ref
nil
139
ref
10552
remove
nil
cons
cons
nil
cons
nil
cons
cons
146
ref
subst
nil
110
ref
10551
ref
nil
cons
10553
def
cons
10533
ref
cons
nil
cons
cons
10554
def
126
ref
subst
10554
remove
194
ref
subst
10551
ref
betaConv
10551
remove
assume
eqMp
nil
110
ref
9326
remove
nil
cons
10555
def
cons
10556
def
10533
remove
cons
nil
cons
cons
10557
def
175
ref
subst
proveHyp
10557
ref
126
ref
subst
10557
remove
194
ref
subst
10530
ref
126
ref
subst
10530
remove
194
ref
subst
nil
10556
remove
10528
remove
cons
nil
cons
cons
175
ref
subst
9329
remove
5105
ref
appTerm
10558
def
betaConv
9331
remove
3521
ref
appTerm
10559
def
betaConv
9333
remove
3518
ref
appTerm
10560
def
betaConv
9335
remove
57
ref
appTerm
10561
def
betaConv
9337
remove
275
ref
appTerm
10562
def
betaConv
9339
remove
547
ref
appTerm
10563
def
betaConv
9341
remove
41
ref
appTerm
10564
def
betaConv
9343
remove
39
ref
appTerm
10565
def
betaConv
nil
10517
remove
111
ref
10565
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
175
ref
subst
207
ref
9344
remove
210
ref
cons
nil
cons
cons
205
ref
subst
eqMp
eqMp
nil
110
ref
9345
remove
cons
111
ref
10564
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
175
ref
subst
proveHyp
207
ref
9346
remove
213
ref
cons
nil
cons
cons
205
ref
subst
eqMp
eqMp
nil
110
ref
9347
remove
cons
111
ref
10563
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
175
ref
subst
proveHyp
207
ref
9348
remove
595
ref
cons
nil
cons
cons
205
ref
subst
eqMp
eqMp
nil
110
ref
9349
remove
cons
111
ref
10562
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
175
ref
subst
proveHyp
256
ref
9350
remove
291
ref
cons
nil
cons
cons
205
ref
subst
eqMp
eqMp
nil
110
ref
9351
remove
cons
111
ref
10561
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
175
ref
subst
proveHyp
256
ref
9352
remove
293
ref
cons
nil
cons
cons
205
ref
subst
eqMp
eqMp
nil
110
ref
9353
remove
cons
111
ref
10560
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
175
ref
subst
proveHyp
207
ref
9354
remove
3576
ref
cons
nil
cons
cons
205
ref
subst
eqMp
eqMp
nil
110
ref
9355
remove
cons
111
ref
10559
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
175
ref
subst
proveHyp
207
ref
9356
remove
3840
ref
cons
nil
cons
cons
205
ref
subst
eqMp
eqMp
nil
110
ref
9357
remove
cons
111
ref
10558
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
175
ref
subst
proveHyp
207
ref
9358
remove
5226
ref
cons
nil
cons
cons
205
ref
subst
eqMp
eqMp
eqMp
eqMp
nil
151
ref
10516
remove
cons
10566
def
153
ref
10527
remove
cons
nil
cons
10567
def
cons
nil
cons
cons
167
ref
subst
deductAntisym
eqMp
eqMp
nil
151
ref
10555
remove
cons
153
ref
10532
remove
cons
nil
cons
10568
def
cons
nil
cons
cons
167
ref
subst
deductAntisym
eqMp
eqMp
eqMp
nil
151
ref
10553
remove
cons
10568
ref
cons
nil
cons
cons
167
ref
subst
deductAntisym
eqMp
eqMp
absThm
eqMp
nil
110
ref
65
ref
258
ref
71
ref
10496
ref
797
ref
appTerm
appTerm
10531
ref
appTerm
absTerm
appTerm
nil
cons
cons
111
ref
71
ref
10497
remove
appTerm
10531
ref
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
175
ref
subst
proveHyp
256
ref
257
ref
10496
remove
nil
cons
cons
10568
ref
cons
nil
cons
cons
811
ref
subst
eqMp
eqMp
eqMp
nil
151
ref
10549
remove
cons
10568
ref
cons
nil
cons
cons
167
ref
subst
deductAntisym
eqMp
eqMp
absThm
eqMp
nil
110
ref
65
ref
258
ref
71
ref
10498
ref
797
ref
appTerm
appTerm
10531
ref
appTerm
absTerm
appTerm
nil
cons
cons
111
ref
71
ref
10499
remove
appTerm
10531
ref
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
175
ref
subst
proveHyp
256
ref
257
ref
10498
remove
nil
cons
cons
10568
ref
cons
nil
cons
cons
811
ref
subst
eqMp
eqMp
eqMp
nil
151
ref
10545
remove
cons
10568
ref
cons
nil
cons
cons
167
ref
subst
deductAntisym
eqMp
eqMp
absThm
eqMp
nil
110
ref
99
ref
1892
ref
71
ref
10500
ref
1893
ref
appTerm
appTerm
10531
ref
appTerm
absTerm
appTerm
nil
cons
cons
111
ref
71
ref
10501
remove
appTerm
10531
ref
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
175
ref
subst
proveHyp
207
ref
208
ref
10500
remove
nil
cons
cons
10568
ref
cons
nil
cons
cons
811
ref
subst
eqMp
eqMp
eqMp
nil
151
ref
10541
remove
cons
10568
ref
cons
nil
cons
cons
167
ref
subst
deductAntisym
eqMp
eqMp
absThm
eqMp
nil
110
ref
99
ref
1892
ref
71
ref
10502
ref
1893
ref
appTerm
appTerm
10531
ref
appTerm
absTerm
appTerm
nil
cons
cons
111
ref
71
ref
10503
remove
appTerm
10531
ref
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
175
ref
subst
proveHyp
207
ref
208
ref
10502
remove
nil
cons
cons
10568
ref
cons
nil
cons
cons
811
ref
subst
eqMp
eqMp
eqMp
nil
151
ref
10537
remove
cons
10568
ref
cons
nil
cons
cons
167
ref
subst
deductAntisym
eqMp
eqMp
absThm
eqMp
nil
110
ref
99
ref
10536
remove
appTerm
nil
cons
cons
111
ref
10506
remove
10531
remove
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
175
ref
subst
proveHyp
207
ref
208
ref
10504
remove
nil
cons
cons
10568
remove
cons
nil
cons
cons
811
ref
subst
eqMp
eqMp
eqMp
eqMp
nil
151
ref
10525
remove
cons
10567
remove
cons
nil
cons
cons
167
ref
subst
deductAntisym
eqMp
eqMp
absThm
eqMp
eqMp
absThm
eqMp
eqMp
absThm
eqMp
eqMp
nil
10566
remove
153
ref
10518
ref
cons
nil
cons
cons
nil
cons
cons
167
ref
subst
deductAntisym
eqMp
eqMp
nil
110
ref
10518
remove
cons
111
ref
10515
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
175
ref
subst
proveHyp
207
ref
10520
remove
3576
ref
cons
nil
cons
cons
205
ref
subst
eqMp
eqMp
nil
110
ref
10521
remove
cons
111
ref
10512
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
175
ref
subst
proveHyp
207
ref
10522
remove
3840
ref
cons
nil
cons
cons
205
ref
subst
eqMp
eqMp
nil
110
ref
10523
remove
cons
111
ref
10509
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
175
ref
subst
proveHyp
207
ref
10524
remove
5226
ref
cons
nil
cons
cons
205
ref
subst
eqMp
eqMp
10569
def
subst
eqMp
nil
110
ref
10495
remove
cons
111
ref
606
remove
9721
ref
appTerm
3521
ref
appTerm
5105
ref
appTerm
nil
cons
cons
nil
cons
10570
def
cons
nil
cons
cons
194
ref
subst
proveHyp
29
ref
725
ref
26
ref
725
ref
542
ref
47
ref
271
ref
47
ref
48
ref
5843
remove
9830
ref
appTerm
absTerm
appTerm
absTerm
appTerm
absTerm
appTerm
absTerm
appTerm
absTerm
10571
def
866
ref
appTerm
betaConv
sym
26
ref
725
ref
542
ref
47
ref
271
ref
47
ref
48
ref
49
ref
948
remove
appTerm
9833
ref
appTerm
absTerm
10572
def
appTerm
absTerm
10573
def
appTerm
absTerm
10574
def
appTerm
absTerm
10575
def
41
ref
appTerm
betaConv
sym
10574
ref
547
ref
appTerm
betaConv
sym
10573
ref
275
ref
appTerm
betaConv
sym
10572
ref
57
ref
appTerm
betaConv
sym
216
ref
7081
remove
appThm
9839
ref
appThm
528
ref
trans
sym
145
ref
eqMp
eqMp
256
ref
257
ref
10572
remove
nil
cons
cons
293
ref
cons
nil
cons
cons
724
ref
subst
proveHyp
eqMp
256
ref
257
ref
10573
remove
nil
cons
cons
291
ref
cons
nil
cons
cons
724
ref
subst
proveHyp
eqMp
207
ref
208
ref
10574
remove
nil
cons
cons
595
ref
cons
nil
cons
cons
724
ref
subst
proveHyp
eqMp
207
ref
208
ref
10575
remove
nil
cons
cons
213
ref
cons
nil
cons
cons
724
ref
subst
proveHyp
eqMp
207
ref
208
ref
10571
ref
nil
cons
cons
6850
ref
cons
nil
cons
cons
724
ref
subst
proveHyp
nil
110
ref
725
ref
10571
remove
appTerm
nil
cons
cons
10570
remove
cons
nil
cons
cons
175
ref
subst
proveHyp
9840
ref
10569
remove
subst
eqMp
eqMp
eqMp
207
ref
208
ref
10466
remove
nil
cons
cons
9841
ref
cons
nil
cons
cons
724
ref
subst
proveHyp
eqMp
nil
9842
ref
153
ref
10468
ref
cons
nil
cons
10576
def
cons
nil
cons
cons
167
ref
subst
deductAntisym
eqMp
eqMp
eqMp
nil
9844
ref
10576
ref
cons
nil
cons
cons
167
ref
subst
deductAntisym
eqMp
eqMp
absThm
eqMp
nil
110
ref
99
ref
29
ref
9845
ref
10467
ref
appTerm
absTerm
appTerm
nil
cons
cons
10486
remove
cons
nil
cons
cons
175
ref
subst
proveHyp
207
ref
9846
ref
10576
ref
cons
nil
cons
cons
811
ref
subst
eqMp
eqMp
nil
110
ref
9847
ref
10485
remove
appTerm
nil
cons
cons
111
ref
9848
ref
10467
ref
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
175
ref
subst
proveHyp
nil
1340
ref
10468
remove
cons
9849
ref
cons
nil
cons
cons
4271
ref
subst
eqMp
eqMp
proveHyp
proveHyp
proveHyp
proveHyp
proveHyp
proveHyp
proveHyp
proveHyp
eqMp
nil
7082
remove
10576
ref
cons
nil
cons
cons
167
ref
subst
deductAntisym
eqMp
eqMp
eqMp
nil
7083
remove
10576
ref
cons
nil
cons
cons
167
ref
subst
deductAntisym
eqMp
eqMp
absThm
eqMp
nil
110
ref
99
ref
1892
ref
7084
remove
10467
ref
appTerm
absTerm
appTerm
nil
cons
cons
111
ref
7085
remove
10467
remove
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
175
ref
subst
proveHyp
207
ref
7086
remove
10576
ref
cons
nil
cons
cons
811
ref
subst
eqMp
eqMp
proveHyp
proveHyp
eqMp
nil
151
ref
10464
remove
cons
10576
remove
cons
nil
cons
cons
167
ref
subst
deductAntisym
eqMp
eqMp
eqMp
absThm
eqMp
eqMp
absThm
eqMp
eqMp
absThm
eqMp
eqMp
absThm
eqMp
eqMp
absThm
eqMp
eqMp
absThm
eqMp
eqMp
absThm
eqMp
eqMp
absThm
eqMp
eqMp
absThm
eqMp
eqMp
absThm
eqMp
10577
def
nil
110
ref
99
ref
10444
ref
appTerm
10578
def
nil
cons
10579
def
cons
10580
def
111
ref
99
ref
10423
ref
appTerm
nil
cons
10581
def
cons
nil
cons
cons
nil
cons
cons
10582
def
175
ref
subst
proveHyp
10582
ref
126
ref
subst
10582
remove
194
ref
subst
nil
208
ref
10423
remove
nil
cons
cons
10583
def
nil
cons
nil
cons
cons
643
ref
subst
9576
ref
nil
139
ref
10422
remove
nil
cons
10584
def
cons
nil
cons
nil
cons
cons
146
ref
subst
nil
208
ref
10420
remove
nil
cons
cons
10585
def
nil
cons
nil
cons
cons
643
ref
subst
3515
ref
nil
139
ref
10419
remove
nil
cons
10586
def
cons
nil
cons
nil
cons
cons
146
ref
subst
nil
208
ref
10417
remove
nil
cons
cons
10587
def
nil
cons
nil
cons
cons
643
ref
subst
3513
ref
nil
139
ref
10416
remove
nil
cons
10588
def
cons
nil
cons
nil
cons
cons
146
ref
subst
nil
208
ref
10414
remove
nil
cons
cons
10589
def
nil
cons
nil
cons
cons
643
ref
subst
5102
ref
nil
139
ref
10413
remove
nil
cons
cons
nil
cons
nil
cons
cons
146
ref
subst
nil
110
ref
10410
remove
nil
cons
10590
def
cons
10591
def
111
ref
10412
ref
nil
cons
10592
def
cons
nil
cons
10593
def
cons
nil
cons
cons
10594
def
126
ref
subst
10594
remove
194
ref
subst
nil
10580
ref
10593
ref
cons
nil
cons
cons
10595
def
175
ref
subst
nil
10591
remove
111
ref
71
ref
10578
ref
appTerm
10412
remove
appTerm
10596
def
nil
cons
10597
def
cons
nil
cons
10598
def
cons
nil
cons
cons
175
ref
subst
nil
208
ref
857
ref
71
ref
10409
ref
861
ref
appTerm
10599
def
appTerm
10596
ref
appTerm
10600
def
absTerm
nil
cons
cons
nil
cons
nil
cons
cons
643
ref
subst
857
ref
nil
139
ref
10600
remove
nil
cons
cons
nil
cons
nil
cons
cons
146
ref
subst
nil
110
ref
10599
ref
nil
cons
10601
def
cons
10598
ref
cons
nil
cons
cons
10602
def
126
ref
subst
10602
remove
194
ref
subst
10599
ref
betaConv
10599
remove
assume
eqMp
nil
110
ref
10408
ref
nil
cons
cons
10598
ref
cons
nil
cons
cons
175
ref
subst
proveHyp
nil
208
ref
29
ref
71
ref
10407
ref
39
ref
appTerm
10603
def
appTerm
10596
ref
appTerm
10604
def
absTerm
10605
def
nil
cons
cons
nil
cons
nil
cons
cons
643
ref
subst
29
ref
nil
139
ref
10604
remove
nil
cons
cons
nil
cons
nil
cons
cons
146
ref
subst
nil
110
ref
10603
ref
nil
cons
10606
def
cons
10598
ref
cons
nil
cons
cons
10607
def
126
ref
subst
10607
remove
194
ref
subst
10603
ref
betaConv
10603
remove
assume
eqMp
nil
110
ref
10406
ref
nil
cons
cons
10598
ref
cons
nil
cons
cons
175
ref
subst
proveHyp
nil
208
ref
26
ref
71
ref
10405
ref
41
ref
appTerm
10608
def
appTerm
10596
ref
appTerm
10609
def
absTerm
nil
cons
cons
nil
cons
nil
cons
cons
643
ref
subst
26
ref
nil
139
ref
10609
remove
nil
cons
cons
nil
cons
nil
cons
cons
146
ref
subst
nil
110
ref
10608
ref
nil
cons
10610
def
cons
10598
ref
cons
nil
cons
cons
10611
def
126
ref
subst
10611
remove
194
ref
subst
10608
ref
betaConv
10608
remove
assume
eqMp
nil
110
ref
10404
ref
nil
cons
cons
10598
ref
cons
nil
cons
cons
175
ref
subst
proveHyp
nil
208
ref
542
ref
71
ref
10403
ref
547
ref
appTerm
10612
def
appTerm
10596
ref
appTerm
10613
def
absTerm
nil
cons
cons
nil
cons
nil
cons
cons
643
ref
subst
542
ref
nil
139
ref
10613
remove
nil
cons
cons
nil
cons
nil
cons
cons
146
ref
subst
nil
110
ref
10612
ref
nil
cons
10614
def
cons
10598
ref
cons
nil
cons
cons
10615
def
126
ref
subst
10615
remove
194
ref
subst
10612
ref
betaConv
10612
remove
assume
eqMp
nil
110
ref
10402
ref
nil
cons
cons
10598
ref
cons
nil
cons
cons
175
ref
subst
proveHyp
nil
257
ref
271
ref
71
ref
10401
ref
275
ref
appTerm
10616
def
appTerm
10596
ref
appTerm
10617
def
absTerm
nil
cons
cons
nil
cons
nil
cons
cons
662
ref
subst
271
ref
nil
139
ref
10617
remove
nil
cons
cons
nil
cons
nil
cons
cons
146
ref
subst
nil
110
ref
10616
ref
nil
cons
10618
def
cons
10598
ref
cons
nil
cons
cons
10619
def
126
ref
subst
10619
remove
194
ref
subst
10616
ref
betaConv
10616
remove
assume
eqMp
nil
110
ref
10400
ref
nil
cons
cons
10598
ref
cons
nil
cons
cons
175
ref
subst
proveHyp
nil
257
ref
48
ref
71
ref
10399
ref
57
ref
appTerm
10620
def
appTerm
10596
ref
appTerm
10621
def
absTerm
nil
cons
cons
nil
cons
nil
cons
cons
662
ref
subst
48
ref
nil
139
ref
10621
remove
nil
cons
cons
nil
cons
nil
cons
cons
146
ref
subst
nil
110
ref
10620
ref
nil
cons
10622
def
cons
10598
ref
cons
nil
cons
cons
10623
def
126
ref
subst
10623
remove
194
ref
subst
10620
ref
betaConv
10620
remove
assume
eqMp
nil
110
ref
10398
remove
nil
cons
10624
def
cons
10625
def
10598
remove
cons
nil
cons
cons
10626
def
175
ref
subst
proveHyp
10626
ref
126
ref
subst
10626
remove
194
ref
subst
10595
ref
126
ref
subst
10595
remove
194
ref
subst
nil
10625
remove
10593
remove
cons
nil
cons
cons
175
ref
subst
10426
remove
5105
ref
appTerm
10627
def
betaConv
10428
remove
3521
ref
appTerm
10628
def
betaConv
10430
remove
3518
ref
appTerm
10629
def
betaConv
10432
remove
9578
ref
appTerm
10630
def
betaConv
10434
remove
57
ref
appTerm
10631
def
betaConv
10436
remove
275
ref
appTerm
10632
def
betaConv
10438
remove
547
ref
appTerm
10633
def
betaConv
10440
remove
41
ref
appTerm
10634
def
betaConv
10442
remove
39
ref
appTerm
10635
def
betaConv
10444
remove
861
ref
appTerm
10636
def
betaConv
nil
10580
remove
111
ref
10636
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
175
ref
subst
207
ref
10445
remove
886
ref
cons
nil
cons
cons
205
ref
subst
eqMp
eqMp
nil
110
ref
10446
remove
cons
111
ref
10635
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
175
ref
subst
proveHyp
207
ref
10447
remove
210
ref
cons
nil
cons
cons
205
ref
subst
eqMp
eqMp
nil
110
ref
10448
remove
cons
111
ref
10634
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
175
ref
subst
proveHyp
207
ref
10449
remove
213
ref
cons
nil
cons
cons
205
ref
subst
eqMp
eqMp
nil
110
ref
10450
remove
cons
111
ref
10633
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
175
ref
subst
proveHyp
207
ref
10451
remove
595
ref
cons
nil
cons
cons
205
ref
subst
eqMp
eqMp
nil
110
ref
10452
remove
cons
111
ref
10632
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
175
ref
subst
proveHyp
256
ref
10453
remove
291
ref
cons
nil
cons
cons
205
ref
subst
eqMp
eqMp
nil
110
ref
10454
remove
cons
111
ref
10631
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
175
ref
subst
proveHyp
256
ref
10455
remove
293
ref
cons
nil
cons
cons
205
ref
subst
eqMp
eqMp
nil
110
ref
10456
remove
cons
111
ref
10630
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
175
ref
subst
proveHyp
207
ref
10457
remove
9712
ref
cons
nil
cons
cons
205
ref
subst
eqMp
eqMp
nil
110
ref
10458
remove
cons
111
ref
10629
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
175
ref
subst
proveHyp
207
ref
10459
remove
3576
ref
cons
nil
cons
cons
205
ref
subst
eqMp
eqMp
nil
110
ref
10460
remove
cons
111
ref
10628
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
175
ref
subst
proveHyp
207
ref
10461
remove
3840
ref
cons
nil
cons
cons
205
ref
subst
eqMp
eqMp
nil
110
ref
10462
remove
cons
111
ref
10627
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
175
ref
subst
proveHyp
207
ref
10463
remove
5226
ref
cons
nil
cons
cons
205
ref
subst
eqMp
eqMp
eqMp
eqMp
nil
151
ref
10579
remove
cons
10637
def
153
ref
10592
remove
cons
nil
cons
10638
def
cons
nil
cons
cons
167
ref
subst
deductAntisym
eqMp
eqMp
nil
151
ref
10624
remove
cons
153
ref
10597
remove
cons
nil
cons
10639
def
cons
nil
cons
cons
167
ref
subst
deductAntisym
eqMp
eqMp
eqMp
nil
151
ref
10622
remove
cons
10639
ref
cons
nil
cons
cons
167
ref
subst
deductAntisym
eqMp
eqMp
absThm
eqMp
nil
110
ref
65
ref
258
ref
71
ref
10399
ref
797
ref
appTerm
appTerm
10596
ref
appTerm
absTerm
appTerm
nil
cons
cons
111
ref
71
ref
10400
remove
appTerm
10596
ref
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
175
ref
subst
proveHyp
256
ref
257
ref
10399
remove
nil
cons
cons
10639
ref
cons
nil
cons
cons
811
ref
subst
eqMp
eqMp
eqMp
nil
151
ref
10618
remove
cons
10639
ref
cons
nil
cons
cons
167
ref
subst
deductAntisym
eqMp
eqMp
absThm
eqMp
nil
110
ref
65
ref
258
ref
71
ref
10401
ref
797
ref
appTerm
appTerm
10596
ref
appTerm
absTerm
appTerm
nil
cons
cons
111
ref
71
ref
10402
remove
appTerm
10596
ref
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
175
ref
subst
proveHyp
256
ref
257
ref
10401
remove
nil
cons
cons
10639
ref
cons
nil
cons
cons
811
ref
subst
eqMp
eqMp
eqMp
nil
151
ref
10614
remove
cons
10639
ref
cons
nil
cons
cons
167
ref
subst
deductAntisym
eqMp
eqMp
absThm
eqMp
nil
110
ref
99
ref
1892
ref
71
ref
10403
ref
1893
ref
appTerm
appTerm
10596
ref
appTerm
absTerm
appTerm
nil
cons
cons
111
ref
71
ref
10404
remove
appTerm
10596
ref
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
175
ref
subst
proveHyp
207
ref
208
ref
10403
remove
nil
cons
cons
10639
ref
cons
nil
cons
cons
811
ref
subst
eqMp
eqMp
eqMp
nil
151
ref
10610
remove
cons
10639
ref
cons
nil
cons
cons
167
ref
subst
deductAntisym
eqMp
eqMp
absThm
eqMp
nil
110
ref
99
ref
1892
ref
71
ref
10405
ref
1893
ref
appTerm
appTerm
10596
ref
appTerm
absTerm
appTerm
nil
cons
cons
111
ref
71
ref
10406
remove
appTerm
10596
ref
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
175
ref
subst
proveHyp
207
ref
208
ref
10405
remove
nil
cons
cons
10639
ref
cons
nil
cons
cons
811
ref
subst
eqMp
eqMp
eqMp
nil
151
ref
10606
remove
cons
10639
ref
cons
nil
cons
cons
167
ref
subst
deductAntisym
eqMp
eqMp
absThm
eqMp
nil
110
ref
99
ref
10605
remove
appTerm
nil
cons
cons
111
ref
71
ref
10408
remove
appTerm
10596
ref
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
175
ref
subst
proveHyp
207
ref
208
ref
10407
remove
nil
cons
cons
10639
ref
cons
nil
cons
cons
811
ref
subst
eqMp
eqMp
eqMp
nil
151
ref
10601
remove
cons
10639
ref
cons
nil
cons
cons
167
ref
subst
deductAntisym
eqMp
eqMp
absThm
eqMp
nil
110
ref
99
ref
29
ref
71
ref
10409
ref
39
ref
appTerm
appTerm
10596
ref
appTerm
absTerm
appTerm
nil
cons
cons
111
ref
10411
remove
10596
remove
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
175
ref
subst
proveHyp
207
ref
208
ref
10409
remove
nil
cons
cons
10639
remove
cons
nil
cons
cons
811
ref
subst
eqMp
eqMp
eqMp
eqMp
nil
151
ref
10590
remove
cons
10638
remove
cons
nil
cons
cons
167
ref
subst
deductAntisym
eqMp
eqMp
absThm
eqMp
eqMp
absThm
eqMp
eqMp
absThm
eqMp
eqMp
absThm
eqMp
eqMp
nil
10637
remove
153
ref
10581
ref
cons
nil
cons
cons
nil
cons
cons
167
ref
subst
deductAntisym
eqMp
eqMp
nil
110
ref
10581
remove
cons
111
ref
10424
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
175
ref
subst
proveHyp
207
ref
10583
remove
9712
ref
cons
nil
cons
cons
205
ref
subst
eqMp
eqMp
nil
110
ref
10584
remove
cons
111
ref
10421
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
175
ref
subst
proveHyp
207
ref
10585
remove
3576
ref
cons
nil
cons
cons
205
ref
subst
eqMp
eqMp
nil
110
ref
10586
remove
cons
111
ref
10418
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
175
ref
subst
proveHyp
207
ref
10587
remove
3840
ref
cons
nil
cons
cons
205
ref
subst
eqMp
eqMp
nil
110
ref
10588
remove
cons
111
ref
10415
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
175
ref
subst
proveHyp
207
ref
10589
remove
5226
ref
cons
nil
cons
cons
205
ref
subst
eqMp
eqMp
10640
def
subst
eqMp
eqMp
eqMp
eqMp
eqMp
207
ref
208
ref
10367
remove
nil
cons
cons
29
ref
10387
remove
cons
nil
cons
cons
nil
cons
cons
724
ref
subst
proveHyp
eqMp
207
ref
208
ref
10363
remove
nil
cons
cons
29
ref
10379
remove
cons
nil
cons
cons
nil
cons
cons
724
ref
subst
proveHyp
eqMp
207
ref
208
ref
10276
remove
nil
cons
cons
9841
ref
cons
nil
cons
cons
724
ref
subst
proveHyp
eqMp
nil
151
ref
10359
remove
cons
153
ref
10278
ref
cons
nil
cons
10641
def
cons
nil
cons
cons
167
ref
subst
deductAntisym
eqMp
eqMp
eqMp
nil
151
ref
10356
remove
cons
10641
ref
cons
nil
cons
cons
167
ref
subst
deductAntisym
eqMp
eqMp
absThm
eqMp
nil
110
ref
99
ref
29
ref
71
ref
10329
ref
39
ref
appTerm
appTerm
10277
ref
appTerm
absTerm
appTerm
nil
cons
cons
10351
remove
cons
nil
cons
cons
175
ref
subst
proveHyp
207
ref
208
ref
10329
remove
nil
cons
cons
10641
ref
cons
nil
cons
cons
811
ref
subst
eqMp
eqMp
nil
110
ref
49
ref
10327
remove
appTerm
10350
remove
appTerm
nil
cons
cons
111
ref
71
ref
10331
remove
appTerm
10277
ref
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
175
ref
subst
proveHyp
nil
1340
ref
10278
remove
cons
10642
def
111
ref
10330
remove
nil
cons
cons
10349
remove
nil
cons
cons
cons
nil
cons
cons
4271
ref
subst
eqMp
eqMp
eqMp
nil
151
ref
10325
remove
cons
10641
ref
cons
nil
cons
cons
167
ref
subst
deductAntisym
eqMp
eqMp
eqMp
nil
151
ref
10322
remove
cons
10641
ref
cons
nil
cons
cons
167
ref
subst
deductAntisym
eqMp
eqMp
absThm
eqMp
nil
110
ref
99
ref
29
ref
71
ref
10297
ref
39
ref
appTerm
appTerm
10277
ref
appTerm
absTerm
appTerm
nil
cons
cons
10317
remove
cons
nil
cons
cons
175
ref
subst
proveHyp
207
ref
208
ref
10297
remove
nil
cons
cons
10641
ref
cons
nil
cons
cons
811
ref
subst
eqMp
eqMp
nil
110
ref
49
ref
10295
remove
appTerm
10316
remove
appTerm
nil
cons
cons
111
ref
71
ref
10299
remove
appTerm
10277
ref
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
175
ref
subst
proveHyp
nil
10642
ref
111
ref
10298
remove
nil
cons
cons
10315
remove
nil
cons
cons
cons
nil
cons
cons
4271
ref
subst
eqMp
eqMp
eqMp
nil
9842
ref
10641
ref
cons
nil
cons
cons
167
ref
subst
deductAntisym
eqMp
eqMp
eqMp
nil
9844
ref
10641
ref
cons
nil
cons
cons
167
ref
subst
deductAntisym
eqMp
eqMp
absThm
eqMp
nil
110
ref
99
ref
29
ref
9845
ref
10277
ref
appTerm
absTerm
appTerm
nil
cons
cons
10291
remove
cons
nil
cons
cons
175
ref
subst
proveHyp
207
ref
9846
ref
10641
ref
cons
nil
cons
cons
811
ref
subst
eqMp
eqMp
nil
110
ref
9847
ref
10290
remove
appTerm
nil
cons
cons
111
ref
9848
ref
10277
ref
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
175
ref
subst
proveHyp
nil
10642
remove
9849
ref
cons
nil
cons
cons
4271
ref
subst
eqMp
eqMp
proveHyp
proveHyp
proveHyp
proveHyp
proveHyp
proveHyp
proveHyp
proveHyp
proveHyp
proveHyp
proveHyp
proveHyp
eqMp
nil
7165
remove
10641
ref
cons
nil
cons
cons
167
ref
subst
deductAntisym
eqMp
eqMp
eqMp
nil
7166
remove
10641
ref
cons
nil
cons
cons
167
ref
subst
deductAntisym
eqMp
eqMp
absThm
eqMp
nil
110
ref
99
ref
1892
ref
7167
remove
10277
ref
appTerm
absTerm
appTerm
nil
cons
cons
111
ref
7168
remove
10277
ref
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
175
ref
subst
proveHyp
207
ref
7169
remove
10641
ref
cons
nil
cons
cons
811
ref
subst
eqMp
eqMp
eqMp
nil
7170
remove
10641
ref
cons
nil
cons
cons
167
ref
subst
deductAntisym
eqMp
eqMp
absThm
eqMp
nil
110
ref
99
ref
1892
ref
7171
remove
10277
ref
appTerm
absTerm
appTerm
nil
cons
cons
111
ref
7172
remove
10277
ref
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
175
ref
subst
proveHyp
207
ref
7173
remove
10641
ref
cons
nil
cons
cons
811
ref
subst
eqMp
eqMp
eqMp
nil
7174
remove
10641
ref
cons
nil
cons
cons
167
ref
subst
deductAntisym
eqMp
eqMp
absThm
eqMp
nil
110
ref
99
ref
1892
ref
7175
remove
10277
ref
appTerm
absTerm
appTerm
nil
cons
cons
111
ref
7176
remove
10277
remove
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
175
ref
subst
proveHyp
207
ref
7177
remove
10641
ref
cons
nil
cons
cons
811
ref
subst
eqMp
eqMp
proveHyp
proveHyp
eqMp
nil
151
ref
10272
remove
cons
10641
remove
cons
nil
cons
cons
167
ref
subst
deductAntisym
eqMp
eqMp
eqMp
absThm
eqMp
eqMp
absThm
eqMp
eqMp
absThm
eqMp
eqMp
absThm
eqMp
eqMp
absThm
eqMp
eqMp
absThm
eqMp
eqMp
absThm
eqMp
eqMp
absThm
eqMp
eqMp
absThm
eqMp
eqMp
absThm
eqMp
10643
def
nil
110
ref
99
ref
10252
ref
appTerm
10644
def
nil
cons
10645
def
cons
10646
def
111
ref
99
ref
10231
ref
appTerm
nil
cons
10647
def
cons
nil
cons
cons
nil
cons
cons
10648
def
175
ref
subst
proveHyp
10648
ref
126
ref
subst
10648
remove
194
ref
subst
nil
208
ref
10231
remove
nil
cons
cons
10649
def
nil
cons
nil
cons
cons
643
ref
subst
9576
ref
nil
139
ref
10230
remove
nil
cons
10650
def
cons
nil
cons
nil
cons
cons
146
ref
subst
nil
208
ref
10228
remove
nil
cons
cons
10651
def
nil
cons
nil
cons
cons
643
ref
subst
3515
ref
nil
139
ref
10227
remove
nil
cons
10652
def
cons
nil
cons
nil
cons
cons
146
ref
subst
nil
208
ref
10225
remove
nil
cons
cons
10653
def
nil
cons
nil
cons
cons
643
ref
subst
3513
ref
nil
139
ref
10224
remove
nil
cons
10654
def
cons
nil
cons
nil
cons
cons
146
ref
subst
nil
208
ref
10222
remove
nil
cons
cons
10655
def
nil
cons
nil
cons
cons
643
ref
subst
5102
ref
nil
139
ref
10221
remove
nil
cons
cons
nil
cons
nil
cons
cons
146
ref
subst
nil
110
ref
10218
remove
nil
cons
10656
def
cons
10657
def
111
ref
10220
ref
nil
cons
10658
def
cons
nil
cons
10659
def
cons
nil
cons
cons
10660
def
126
ref
subst
10660
remove
194
ref
subst
nil
10646
ref
10659
ref
cons
nil
cons
cons
10661
def
175
ref
subst
nil
10657
remove
111
ref
71
ref
10644
ref
appTerm
10220
remove
appTerm
10662
def
nil
cons
10663
def
cons
nil
cons
10664
def
cons
nil
cons
cons
175
ref
subst
nil
208
ref
857
ref
71
ref
10217
ref
861
ref
appTerm
10665
def
appTerm
10662
ref
appTerm
10666
def
absTerm
nil
cons
cons
nil
cons
nil
cons
cons
643
ref
subst
857
ref
nil
139
ref
10666
remove
nil
cons
cons
nil
cons
nil
cons
cons
146
ref
subst
nil
110
ref
10665
ref
nil
cons
10667
def
cons
10664
ref
cons
nil
cons
cons
10668
def
126
ref
subst
10668
remove
194
ref
subst
10665
ref
betaConv
10665
remove
assume
eqMp
nil
110
ref
10216
ref
nil
cons
cons
10664
ref
cons
nil
cons
cons
175
ref
subst
proveHyp
nil
208
ref
29
ref
71
ref
10215
ref
39
ref
appTerm
10669
def
appTerm
10662
ref
appTerm
10670
def
absTerm
10671
def
nil
cons
cons
nil
cons
nil
cons
cons
643
ref
subst
29
ref
nil
139
ref
10670
remove
nil
cons
cons
nil
cons
nil
cons
cons
146
ref
subst
nil
110
ref
10669
ref
nil
cons
10672
def
cons
10664
ref
cons
nil
cons
cons
10673
def
126
ref
subst
10673
remove
194
ref
subst
10669
ref
betaConv
10669
remove
assume
eqMp
nil
110
ref
10214
ref
nil
cons
cons
10664
ref
cons
nil
cons
cons
175
ref
subst
proveHyp
nil
208
ref
26
ref
71
ref
10213
ref
41
ref
appTerm
10674
def
appTerm
10662
ref
appTerm
10675
def
absTerm
nil
cons
cons
nil
cons
nil
cons
cons
643
ref
subst
26
ref
nil
139
ref
10675
remove
nil
cons
cons
nil
cons
nil
cons
cons
146
ref
subst
nil
110
ref
10674
ref
nil
cons
10676
def
cons
10664
ref
cons
nil
cons
cons
10677
def
126
ref
subst
10677
remove
194
ref
subst
10674
ref
betaConv
10674
remove
assume
eqMp
nil
110
ref
10212
ref
nil
cons
cons
10664
ref
cons
nil
cons
cons
175
ref
subst
proveHyp
nil
208
ref
542
ref
71
ref
10211
ref
547
ref
appTerm
10678
def
appTerm
10662
ref
appTerm
10679
def
absTerm
nil
cons
cons
nil
cons
nil
cons
cons
643
ref
subst
542
ref
nil
139
ref
10679
remove
nil
cons
cons
nil
cons
nil
cons
cons
146
ref
subst
nil
110
ref
10678
ref
nil
cons
10680
def
cons
10664
ref
cons
nil
cons
cons
10681
def
126
ref
subst
10681
remove
194
ref
subst
10678
ref
betaConv
10678
remove
assume
eqMp
nil
110
ref
10210
ref
nil
cons
cons
10664
ref
cons
nil
cons
cons
175
ref
subst
proveHyp
nil
257
ref
271
ref
71
ref
10209
ref
275
ref
appTerm
10682
def
appTerm
10662
ref
appTerm
10683
def
absTerm
nil
cons
cons
nil
cons
nil
cons
cons
662
ref
subst
271
ref
nil
139
ref
10683
remove
nil
cons
cons
nil
cons
nil
cons
cons
146
ref
subst
nil
110
ref
10682
ref
nil
cons
10684
def
cons
10664
ref
cons
nil
cons
cons
10685
def
126
ref
subst
10685
remove
194
ref
subst
10682
ref
betaConv
10682
remove
assume
eqMp
nil
110
ref
10208
ref
nil
cons
cons
10664
ref
cons
nil
cons
cons
175
ref
subst
proveHyp
nil
257
ref
48
ref
71
ref
10207
ref
57
ref
appTerm
10686
def
appTerm
10662
ref
appTerm
10687
def
absTerm
nil
cons
cons
nil
cons
nil
cons
cons
662
ref
subst
48
ref
nil
139
ref
10687
remove
nil
cons
cons
nil
cons
nil
cons
cons
146
ref
subst
nil
110
ref
10686
ref
nil
cons
10688
def
cons
10664
ref
cons
nil
cons
cons
10689
def
126
ref
subst
10689
remove
194
ref
subst
10686
ref
betaConv
10686
remove
assume
eqMp
nil
110
ref
10206
remove
nil
cons
10690
def
cons
10691
def
10664
remove
cons
nil
cons
cons
10692
def
175
ref
subst
proveHyp
10692
ref
126
ref
subst
10692
remove
194
ref
subst
10661
ref
126
ref
subst
10661
remove
194
ref
subst
nil
10691
remove
10659
remove
cons
nil
cons
cons
175
ref
subst
10234
remove
5105
ref
appTerm
10693
def
betaConv
10236
remove
3521
ref
appTerm
10694
def
betaConv
10238
remove
3518
ref
appTerm
10695
def
betaConv
10240
remove
9578
ref
appTerm
10696
def
betaConv
10242
remove
57
ref
appTerm
10697
def
betaConv
10244
remove
275
ref
appTerm
10698
def
betaConv
10246
remove
547
ref
appTerm
10699
def
betaConv
10248
remove
41
ref
appTerm
10700
def
betaConv
10250
remove
39
ref
appTerm
10701
def
betaConv
10252
remove
861
ref
appTerm
10702
def
betaConv
nil
10646
remove
111
ref
10702
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
175
ref
subst
207
ref
10253
remove
886
ref
cons
nil
cons
cons
205
ref
subst
eqMp
eqMp
nil
110
ref
10254
remove
cons
111
ref
10701
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
175
ref
subst
proveHyp
207
ref
10255
remove
210
ref
cons
nil
cons
cons
205
ref
subst
eqMp
eqMp
nil
110
ref
10256
remove
cons
111
ref
10700
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
175
ref
subst
proveHyp
207
ref
10257
remove
213
ref
cons
nil
cons
cons
205
ref
subst
eqMp
eqMp
nil
110
ref
10258
remove
cons
111
ref
10699
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
175
ref
subst
proveHyp
207
ref
10259
remove
595
ref
cons
nil
cons
cons
205
ref
subst
eqMp
eqMp
nil
110
ref
10260
remove
cons
111
ref
10698
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
175
ref
subst
proveHyp
256
ref
10261
remove
291
ref
cons
nil
cons
cons
205
ref
subst
eqMp
eqMp
nil
110
ref
10262
remove
cons
111
ref
10697
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
175
ref
subst
proveHyp
256
ref
10263
remove
293
ref
cons
nil
cons
cons
205
ref
subst
eqMp
eqMp
nil
110
ref
10264
remove
cons
111
ref
10696
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
175
ref
subst
proveHyp
207
ref
10265
remove
9712
ref
cons
nil
cons
cons
205
ref
subst
eqMp
eqMp
nil
110
ref
10266
remove
cons
111
ref
10695
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
175
ref
subst
proveHyp
207
ref
10267
remove
3576
ref
cons
nil
cons
cons
205
ref
subst
eqMp
eqMp
nil
110
ref
10268
remove
cons
111
ref
10694
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
175
ref
subst
proveHyp
207
ref
10269
remove
3840
ref
cons
nil
cons
cons
205
ref
subst
eqMp
eqMp
nil
110
ref
10270
remove
cons
111
ref
10693
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
175
ref
subst
proveHyp
207
ref
10271
remove
5226
ref
cons
nil
cons
cons
205
ref
subst
eqMp
eqMp
eqMp
eqMp
nil
151
ref
10645
remove
cons
10703
def
153
ref
10658
remove
cons
nil
cons
10704
def
cons
nil
cons
cons
167
ref
subst
deductAntisym
eqMp
eqMp
nil
151
ref
10690
remove
cons
153
ref
10663
remove
cons
nil
cons
10705
def
cons
nil
cons
cons
167
ref
subst
deductAntisym
eqMp
eqMp
eqMp
nil
151
ref
10688
remove
cons
10705
ref
cons
nil
cons
cons
167
ref
subst
deductAntisym
eqMp
eqMp
absThm
eqMp
nil
110
ref
65
ref
258
ref
71
ref
10207
ref
797
ref
appTerm
appTerm
10662
ref
appTerm
absTerm
appTerm
nil
cons
cons
111
ref
71
ref
10208
remove
appTerm
10662
ref
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
175
ref
subst
proveHyp
256
ref
257
ref
10207
remove
nil
cons
cons
10705
ref
cons
nil
cons
cons
811
ref
subst
eqMp
eqMp
eqMp
nil
151
ref
10684
remove
cons
10705
ref
cons
nil
cons
cons
167
ref
subst
deductAntisym
eqMp
eqMp
absThm
eqMp
nil
110
ref
65
ref
258
ref
71
ref
10209
ref
797
ref
appTerm
appTerm
10662
ref
appTerm
absTerm
appTerm
nil
cons
cons
111
ref
71
ref
10210
remove
appTerm
10662
ref
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
175
ref
subst
proveHyp
256
ref
257
ref
10209
remove
nil
cons
cons
10705
ref
cons
nil
cons
cons
811
ref
subst
eqMp
eqMp
eqMp
nil
151
ref
10680
remove
cons
10705
ref
cons
nil
cons
cons
167
ref
subst
deductAntisym
eqMp
eqMp
absThm
eqMp
nil
110
ref
99
ref
1892
ref
71
ref
10211
ref
1893
ref
appTerm
appTerm
10662
ref
appTerm
absTerm
appTerm
nil
cons
cons
111
ref
71
ref
10212
remove
appTerm
10662
ref
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
175
ref
subst
proveHyp
207
ref
208
ref
10211
remove
nil
cons
cons
10705
ref
cons
nil
cons
cons
811
ref
subst
eqMp
eqMp
eqMp
nil
151
ref
10676
remove
cons
10705
ref
cons
nil
cons
cons
167
ref
subst
deductAntisym
eqMp
eqMp
absThm
eqMp
nil
110
ref
99
ref
1892
ref
71
ref
10213
ref
1893
ref
appTerm
appTerm
10662
ref
appTerm
absTerm
appTerm
nil
cons
cons
111
ref
71
ref
10214
remove
appTerm
10662
ref
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
175
ref
subst
proveHyp
207
ref
208
ref
10213
remove
nil
cons
cons
10705
ref
cons
nil
cons
cons
811
ref
subst
eqMp
eqMp
eqMp
nil
151
ref
10672
remove
cons
10705
ref
cons
nil
cons
cons
167
ref
subst
deductAntisym
eqMp
eqMp
absThm
eqMp
nil
110
ref
99
ref
10671
remove
appTerm
nil
cons
cons
111
ref
71
ref
10216
remove
appTerm
10662
ref
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
175
ref
subst
proveHyp
207
ref
208
ref
10215
remove
nil
cons
cons
10705
ref
cons
nil
cons
cons
811
ref
subst
eqMp
eqMp
eqMp
nil
151
ref
10667
remove
cons
10705
ref
cons
nil
cons
cons
167
ref
subst
deductAntisym
eqMp
eqMp
absThm
eqMp
nil
110
ref
99
ref
29
ref
71
ref
10217
ref
39
ref
appTerm
appTerm
10662
ref
appTerm
absTerm
appTerm
nil
cons
cons
111
ref
10219
remove
10662
remove
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
175
ref
subst
proveHyp
207
ref
208
ref
10217
remove
nil
cons
cons
10705
remove
cons
nil
cons
cons
811
ref
subst
eqMp
eqMp
eqMp
eqMp
nil
151
ref
10656
remove
cons
10704
remove
cons
nil
cons
cons
167
ref
subst
deductAntisym
eqMp
eqMp
absThm
eqMp
eqMp
absThm
eqMp
eqMp
absThm
eqMp
eqMp
absThm
eqMp
eqMp
nil
10703
remove
153
ref
10647
ref
cons
nil
cons
cons
nil
cons
cons
167
ref
subst
deductAntisym
eqMp
eqMp
nil
110
ref
10647
remove
cons
111
ref
10232
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
175
ref
subst
proveHyp
207
ref
10649
remove
9712
ref
cons
nil
cons
cons
205
ref
subst
eqMp
eqMp
nil
110
ref
10650
remove
cons
111
ref
10229
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
175
ref
subst
proveHyp
207
ref
10651
remove
3576
ref
cons
nil
cons
cons
205
ref
subst
eqMp
eqMp
nil
110
ref
10652
remove
cons
111
ref
10226
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
175
ref
subst
proveHyp
207
ref
10653
remove
3840
ref
cons
nil
cons
cons
205
ref
subst
eqMp
eqMp
nil
110
ref
10654
remove
cons
111
ref
10223
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
175
ref
subst
proveHyp
207
ref
10655
remove
5226
ref
cons
nil
cons
cons
205
ref
subst
eqMp
eqMp
10706
def
subst
eqMp
proveHyp
proveHyp
proveHyp
proveHyp
proveHyp
proveHyp
proveHyp
proveHyp
eqMp
nil
151
ref
10195
remove
cons
153
ref
10196
remove
cons
nil
cons
cons
nil
cons
cons
167
ref
subst
deductAntisym
eqMp
eqMp
eqMp
absThm
eqMp
eqMp
absThm
eqMp
eqMp
absThm
eqMp
eqMp
absThm
eqMp
eqMp
absThm
eqMp
eqMp
absThm
eqMp
eqMp
absThm
eqMp
eqMp
absThm
eqMp
eqMp
absThm
eqMp
10707
def
nil
110
ref
99
ref
10164
ref
appTerm
10708
def
nil
cons
10709
def
cons
10710
def
111
ref
68
ref
10145
ref
appTerm
nil
cons
10711
def
cons
nil
cons
cons
nil
cons
cons
10712
def
175
ref
subst
proveHyp
10712
ref
126
ref
subst
10712
remove
194
ref
subst
nil
262
ref
10145
remove
nil
cons
cons
10713
def
nil
cons
nil
cons
cons
663
ref
subst
9456
ref
nil
139
ref
10144
remove
nil
cons
10714
def
cons
nil
cons
nil
cons
cons
146
ref
subst
nil
262
ref
10142
remove
nil
cons
cons
10715
def
nil
cons
nil
cons
cons
663
ref
subst
69
ref
nil
139
ref
10141
remove
nil
cons
10716
def
cons
nil
cons
nil
cons
cons
146
ref
subst
nil
262
ref
10139
remove
nil
cons
cons
10717
def
nil
cons
nil
cons
cons
663
ref
subst
70
ref
nil
139
ref
10138
remove
nil
cons
10718
def
cons
nil
cons
nil
cons
cons
146
ref
subst
nil
262
ref
10136
remove
nil
cons
cons
10719
def
nil
cons
nil
cons
cons
663
ref
subst
552
ref
nil
139
ref
10135
remove
nil
cons
cons
nil
cons
nil
cons
cons
146
ref
subst
nil
110
ref
10132
remove
nil
cons
10720
def
cons
10721
def
111
ref
10134
ref
nil
cons
10722
def
cons
nil
cons
10723
def
cons
nil
cons
cons
10724
def
126
ref
subst
10724
remove
194
ref
subst
nil
10710
ref
10723
ref
cons
nil
cons
cons
10725
def
175
ref
subst
nil
10721
remove
111
ref
71
ref
10708
ref
appTerm
10134
remove
appTerm
10726
def
nil
cons
10727
def
cons
nil
cons
10728
def
cons
nil
cons
cons
175
ref
subst
nil
208
ref
857
ref
71
ref
10131
ref
861
ref
appTerm
10729
def
appTerm
10726
ref
appTerm
10730
def
absTerm
nil
cons
cons
nil
cons
nil
cons
cons
643
ref
subst
857
ref
nil
139
ref
10730
remove
nil
cons
cons
nil
cons
nil
cons
cons
146
ref
subst
nil
110
ref
10729
ref
nil
cons
10731
def
cons
10728
ref
cons
nil
cons
cons
10732
def
126
ref
subst
10732
remove
194
ref
subst
10729
ref
betaConv
10729
remove
assume
eqMp
nil
110
ref
10130
ref
nil
cons
cons
10728
ref
cons
nil
cons
cons
175
ref
subst
proveHyp
nil
208
ref
29
ref
71
ref
10129
ref
39
ref
appTerm
10733
def
appTerm
10726
ref
appTerm
10734
def
absTerm
10735
def
nil
cons
cons
nil
cons
nil
cons
cons
643
ref
subst
29
ref
nil
139
ref
10734
remove
nil
cons
cons
nil
cons
nil
cons
cons
146
ref
subst
nil
110
ref
10733
ref
nil
cons
10736
def
cons
10728
ref
cons
nil
cons
cons
10737
def
126
ref
subst
10737
remove
194
ref
subst
10733
ref
betaConv
10733
remove
assume
eqMp
nil
110
ref
10128
ref
nil
cons
cons
10728
ref
cons
nil
cons
cons
175
ref
subst
proveHyp
nil
208
ref
26
ref
71
ref
10127
ref
41
ref
appTerm
10738
def
appTerm
10726
ref
appTerm
10739
def
absTerm
nil
cons
cons
nil
cons
nil
cons
cons
643
ref
subst
26
ref
nil
139
ref
10739
remove
nil
cons
cons
nil
cons
nil
cons
cons
146
ref
subst
nil
110
ref
10738
ref
nil
cons
10740
def
cons
10728
ref
cons
nil
cons
cons
10741
def
126
ref
subst
10741
remove
194
ref
subst
10738
ref
betaConv
10738
remove
assume
eqMp
nil
110
ref
10126
ref
nil
cons
cons
10728
ref
cons
nil
cons
cons
175
ref
subst
proveHyp
nil
208
ref
542
ref
71
ref
10125
ref
547
ref
appTerm
10742
def
appTerm
10726
ref
appTerm
10743
def
absTerm
nil
cons
cons
nil
cons
nil
cons
cons
643
ref
subst
542
ref
nil
139
ref
10743
remove
nil
cons
cons
nil
cons
nil
cons
cons
146
ref
subst
nil
110
ref
10742
ref
nil
cons
10744
def
cons
10728
ref
cons
nil
cons
cons
10745
def
126
ref
subst
10745
remove
194
ref
subst
10742
ref
betaConv
10742
remove
assume
eqMp
nil
110
ref
10124
ref
nil
cons
cons
10728
ref
cons
nil
cons
cons
175
ref
subst
proveHyp
nil
257
ref
66
ref
71
ref
10123
ref
74
ref
appTerm
10746
def
appTerm
10726
ref
appTerm
10747
def
absTerm
nil
cons
cons
nil
cons
nil
cons
cons
662
ref
subst
66
ref
nil
139
ref
10747
remove
nil
cons
cons
nil
cons
nil
cons
cons
146
ref
subst
nil
110
ref
10746
ref
nil
cons
10748
def
cons
10728
ref
cons
nil
cons
cons
10749
def
126
ref
subst
10749
remove
194
ref
subst
10746
ref
betaConv
10746
remove
assume
eqMp
nil
110
ref
10122
remove
nil
cons
10750
def
cons
10751
def
10728
remove
cons
nil
cons
cons
10752
def
175
ref
subst
proveHyp
10752
ref
126
ref
subst
10752
remove
194
ref
subst
10725
ref
126
ref
subst
10725
remove
194
ref
subst
nil
10751
remove
10723
remove
cons
nil
cons
cons
175
ref
subst
10148
remove
556
ref
appTerm
10753
def
betaConv
10150
remove
81
ref
appTerm
10754
def
betaConv
10152
remove
76
ref
appTerm
10755
def
betaConv
10154
remove
9458
ref
appTerm
10756
def
betaConv
10156
remove
74
ref
appTerm
10757
def
betaConv
10158
remove
547
ref
appTerm
10758
def
betaConv
10160
remove
41
ref
appTerm
10759
def
betaConv
10162
remove
39
ref
appTerm
10760
def
betaConv
10164
remove
861
ref
appTerm
10761
def
betaConv
nil
10710
remove
111
ref
10761
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
175
ref
subst
207
ref
10165
remove
886
ref
cons
nil
cons
cons
205
ref
subst
eqMp
eqMp
nil
110
ref
10166
remove
cons
111
ref
10760
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
175
ref
subst
proveHyp
207
ref
10167
remove
210
ref
cons
nil
cons
cons
205
ref
subst
eqMp
eqMp
nil
110
ref
10168
remove
cons
111
ref
10759
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
175
ref
subst
proveHyp
207
ref
10169
remove
213
ref
cons
nil
cons
cons
205
ref
subst
eqMp
eqMp
nil
110
ref
10170
remove
cons
111
ref
10758
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
175
ref
subst
proveHyp
207
ref
10171
remove
595
ref
cons
nil
cons
cons
205
ref
subst
eqMp
eqMp
nil
110
ref
10172
remove
cons
111
ref
10757
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
175
ref
subst
proveHyp
256
ref
10173
remove
260
ref
cons
nil
cons
cons
205
ref
subst
eqMp
eqMp
nil
110
ref
10174
remove
cons
111
ref
10756
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
175
ref
subst
proveHyp
261
ref
10175
remove
9969
ref
cons
nil
cons
cons
205
ref
subst
eqMp
eqMp
nil
110
ref
10176
remove
cons
111
ref
10755
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
175
ref
subst
proveHyp
261
ref
10177
remove
824
ref
cons
nil
cons
cons
205
ref
subst
eqMp
eqMp
nil
110
ref
10178
remove
cons
111
ref
10754
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
175
ref
subst
proveHyp
261
ref
10179
remove
828
ref
cons
nil
cons
cons
205
ref
subst
eqMp
eqMp
nil
110
ref
10180
remove
cons
111
ref
10753
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
175
ref
subst
proveHyp
261
ref
10181
remove
2526
ref
cons
nil
cons
cons
205
ref
subst
eqMp
eqMp
eqMp
eqMp
nil
151
ref
10709
remove
cons
10762
def
153
ref
10722
remove
cons
nil
cons
10763
def
cons
nil
cons
cons
167
ref
subst
deductAntisym
eqMp
eqMp
nil
151
ref
10750
remove
cons
153
ref
10727
remove
cons
nil
cons
10764
def
cons
nil
cons
cons
167
ref
subst
deductAntisym
eqMp
eqMp
eqMp
nil
151
ref
10748
remove
cons
10764
ref
cons
nil
cons
cons
167
ref
subst
deductAntisym
eqMp
eqMp
absThm
eqMp
nil
110
ref
65
ref
258
ref
71
ref
10123
ref
797
ref
appTerm
appTerm
10726
ref
appTerm
absTerm
appTerm
nil
cons
cons
111
ref
71
ref
10124
remove
appTerm
10726
ref
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
175
ref
subst
proveHyp
256
ref
257
ref
10123
remove
nil
cons
cons
10764
ref
cons
nil
cons
cons
811
ref
subst
eqMp
eqMp
eqMp
nil
151
ref
10744
remove
cons
10764
ref
cons
nil
cons
cons
167
ref
subst
deductAntisym
eqMp
eqMp
absThm
eqMp
nil
110
ref
99
ref
1892
ref
71
ref
10125
ref
1893
ref
appTerm
appTerm
10726
ref
appTerm
absTerm
appTerm
nil
cons
cons
111
ref
71
ref
10126
remove
appTerm
10726
ref
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
175
ref
subst
proveHyp
207
ref
208
ref
10125
remove
nil
cons
cons
10764
ref
cons
nil
cons
cons
811
ref
subst
eqMp
eqMp
eqMp
nil
151
ref
10740
remove
cons
10764
ref
cons
nil
cons
cons
167
ref
subst
deductAntisym
eqMp
eqMp
absThm
eqMp
nil
110
ref
99
ref
1892
ref
71
ref
10127
ref
1893
ref
appTerm
appTerm
10726
ref
appTerm
absTerm
appTerm
nil
cons
cons
111
ref
71
ref
10128
remove
appTerm
10726
ref
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
175
ref
subst
proveHyp
207
ref
208
ref
10127
remove
nil
cons
cons
10764
ref
cons
nil
cons
cons
811
ref
subst
eqMp
eqMp
eqMp
nil
151
ref
10736
remove
cons
10764
ref
cons
nil
cons
cons
167
ref
subst
deductAntisym
eqMp
eqMp
absThm
eqMp
nil
110
ref
99
ref
10735
remove
appTerm
nil
cons
cons
111
ref
71
ref
10130
remove
appTerm
10726
ref
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
175
ref
subst
proveHyp
207
ref
208
ref
10129
remove
nil
cons
cons
10764
ref
cons
nil
cons
cons
811
ref
subst
eqMp
eqMp
eqMp
nil
151
ref
10731
remove
cons
10764
ref
cons
nil
cons
cons
167
ref
subst
deductAntisym
eqMp
eqMp
absThm
eqMp
nil
110
ref
99
ref
29
ref
71
ref
10131
ref
39
ref
appTerm
appTerm
10726
ref
appTerm
absTerm
appTerm
nil
cons
cons
111
ref
10133
remove
10726
remove
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
175
ref
subst
proveHyp
207
ref
208
ref
10131
remove
nil
cons
cons
10764
remove
cons
nil
cons
cons
811
ref
subst
eqMp
eqMp
eqMp
eqMp
nil
151
ref
10720
remove
cons
10763
remove
cons
nil
cons
cons
167
ref
subst
deductAntisym
eqMp
eqMp
absThm
eqMp
eqMp
absThm
eqMp
eqMp
absThm
eqMp
eqMp
absThm
eqMp
eqMp
nil
10762
remove
153
ref
10711
ref
cons
nil
cons
cons
nil
cons
cons
167
ref
subst
deductAntisym
eqMp
eqMp
nil
110
ref
10711
remove
cons
111
ref
10146
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
175
ref
subst
proveHyp
261
ref
10713
remove
9969
ref
cons
nil
cons
cons
205
ref
subst
eqMp
eqMp
nil
110
ref
10714
remove
cons
111
ref
10143
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
175
ref
subst
proveHyp
261
ref
10715
remove
824
ref
cons
nil
cons
cons
205
ref
subst
eqMp
eqMp
nil
110
ref
10716
remove
cons
111
ref
10140
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
175
ref
subst
proveHyp
261
ref
10717
remove
828
ref
cons
nil
cons
cons
205
ref
subst
eqMp
eqMp
nil
110
ref
10718
remove
cons
111
ref
10137
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
175
ref
subst
proveHyp
261
ref
10719
remove
2526
ref
cons
nil
cons
cons
205
ref
subst
eqMp
eqMp
subst
eqMp
nil
110
ref
10121
remove
cons
111
ref
10086
ref
nil
cons
10765
def
cons
nil
cons
10766
def
cons
nil
cons
cons
194
ref
subst
proveHyp
542
ref
71
ref
10114
remove
appTerm
9976
ref
appTerm
absTerm
10767
def
2457
ref
appTerm
10768
def
betaConv
26
ref
99
ref
542
ref
71
ref
10111
remove
appTerm
9979
ref
appTerm
absTerm
appTerm
absTerm
10769
def
2369
ref
appTerm
10770
def
betaConv
29
ref
99
ref
26
ref
99
ref
542
ref
71
ref
10108
remove
appTerm
9982
ref
appTerm
absTerm
appTerm
absTerm
appTerm
absTerm
10771
def
2322
ref
appTerm
10772
def
betaConv
8584
remove
9401
ref
appTerm
10773
def
betaConv
8586
remove
nil
110
ref
8587
remove
nil
cons
cons
111
ref
10773
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
175
ref
subst
proveHyp
207
ref
8585
remove
9454
ref
cons
nil
cons
cons
205
ref
subst
eqMp
eqMp
nil
110
ref
99
ref
10771
ref
appTerm
nil
cons
cons
111
ref
10772
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
175
ref
subst
proveHyp
207
ref
208
ref
10771
remove
nil
cons
cons
3241
ref
cons
nil
cons
cons
205
ref
subst
eqMp
eqMp
nil
110
ref
99
ref
10769
ref
appTerm
nil
cons
cons
111
ref
10770
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
175
ref
subst
proveHyp
207
ref
208
ref
10769
remove
nil
cons
cons
3240
ref
cons
nil
cons
cons
205
ref
subst
eqMp
eqMp
nil
110
ref
99
ref
10767
ref
appTerm
nil
cons
cons
111
ref
10768
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
175
ref
subst
proveHyp
207
ref
208
ref
10767
remove
nil
cons
cons
2744
ref
cons
nil
cons
cons
205
ref
subst
eqMp
eqMp
nil
110
ref
71
ref
10084
ref
appTerm
10774
def
9987
ref
appTerm
nil
cons
cons
10766
ref
cons
nil
cons
cons
175
ref
subst
proveHyp
226
ref
226
ref
10119
remove
appThm
9995
ref
appThm
9999
ref
trans
appThm
10086
ref
refl
10775
def
appThm
sym
nil
257
ref
493
ref
10002
ref
10086
ref
appTerm
10776
def
absTerm
nil
cons
cons
nil
cons
nil
cons
cons
662
ref
subst
493
ref
nil
139
ref
10776
remove
nil
cons
cons
nil
cons
nil
cons
cons
146
ref
subst
nil
10005
ref
10766
ref
cons
nil
cons
cons
10777
def
126
ref
subst
10777
remove
194
ref
subst
10007
ref
nil
10009
ref
10766
ref
cons
nil
cons
cons
175
ref
subst
proveHyp
3408
ref
nil
3410
ref
111
ref
10010
ref
10086
ref
appTerm
10778
def
nil
cons
10779
def
cons
nil
cons
10780
def
cons
nil
cons
cons
10781
def
175
ref
subst
proveHyp
10781
ref
126
ref
subst
10781
remove
194
ref
subst
nil
257
ref
48
ref
3416
ref
10778
ref
appTerm
10782
def
absTerm
nil
cons
cons
nil
cons
nil
cons
cons
662
ref
subst
48
ref
nil
139
ref
10782
remove
nil
cons
cons
nil
cons
nil
cons
cons
146
ref
subst
nil
3419
ref
10780
ref
cons
nil
cons
cons
10783
def
126
ref
subst
10783
remove
194
ref
subst
3421
ref
nil
3423
ref
10780
ref
cons
nil
cons
cons
10784
def
175
ref
subst
proveHyp
10784
ref
126
ref
subst
10784
remove
194
ref
subst
36
ref
"_32349"
44
ref
var
10785
def
71
ref
49
ref
9996
ref
10785
remove
varTerm
10786
def
appTerm
appTerm
49
ref
3393
ref
10786
ref
appTerm
appTerm
49
ref
3395
ref
10786
ref
appTerm
appTerm
5028
ref
10786
remove
appTerm
appTerm
appTerm
appTerm
appTerm
10086
ref
appTerm
absTerm
10787
def
496
ref
appTerm
10788
def
appTerm
refl
10789
def
10787
ref
309
ref
appTerm
betaConv
appThm
155
ref
10788
remove
betaConv
appThm
10790
def
10024
ref
10086
ref
appTerm
refl
appThm
trans
10787
remove
refl
10791
def
3434
ref
appThm
eqMp
sym
10026
ref
10775
ref
appThm
sym
nil
10029
ref
10766
ref
cons
nil
cons
cons
10792
def
126
ref
subst
10792
remove
194
ref
subst
10032
ref
10033
ref
5060
ref
5061
ref
5064
ref
5065
ref
857
ref
725
ref
29
ref
725
ref
26
ref
725
ref
542
ref
47
ref
271
ref
47
ref
48
ref
6947
remove
10034
ref
appTerm
absTerm
appTerm
absTerm
appTerm
absTerm
appTerm
absTerm
appTerm
absTerm
appTerm
absTerm
10793
def
9401
ref
appTerm
betaConv
sym
29
ref
725
ref
26
ref
725
ref
542
ref
47
ref
271
ref
47
ref
48
ref
10109
remove
10038
ref
appTerm
absTerm
appTerm
absTerm
appTerm
absTerm
appTerm
absTerm
appTerm
absTerm
10794
def
2322
ref
appTerm
betaConv
sym
26
ref
725
ref
542
ref
47
ref
271
ref
47
ref
48
ref
10112
remove
10040
ref
appTerm
absTerm
appTerm
absTerm
appTerm
absTerm
appTerm
absTerm
10795
def
2369
ref
appTerm
betaConv
sym
542
ref
47
ref
271
ref
47
ref
48
ref
10115
remove
10042
ref
appTerm
absTerm
appTerm
absTerm
appTerm
absTerm
10796
def
2457
ref
appTerm
betaConv
sym
271
ref
47
ref
48
ref
10117
ref
10044
ref
appTerm
absTerm
appTerm
absTerm
10797
def
240
ref
appTerm
betaConv
sym
48
ref
10117
ref
10049
ref
appTerm
absTerm
10798
def
57
ref
appTerm
betaConv
sym
nil
10051
ref
10053
ref
3127
ref
10104
ref
cons
nil
cons
cons
cons
nil
cons
cons
3479
ref
subst
nil
5085
ref
3469
ref
3127
ref
10117
remove
10047
ref
appTerm
10799
def
nil
cons
cons
nil
cons
cons
cons
nil
cons
cons
3479
ref
subst
nil
5087
ref
5088
ref
3127
ref
49
ref
10799
remove
appTerm
3461
ref
appTerm
nil
cons
cons
nil
cons
cons
cons
nil
cons
cons
3479
ref
subst
trans
trans
216
ref
216
ref
216
ref
10120
remove
10055
ref
appThm
10056
ref
trans
appThm
3480
ref
appThm
appThm
3482
ref
appThm
appThm
5089
ref
appThm
trans
sym
10065
ref
eqMp
eqMp
256
ref
257
ref
10798
remove
nil
cons
cons
293
ref
cons
nil
cons
cons
724
ref
subst
proveHyp
eqMp
256
ref
257
ref
10797
remove
nil
cons
cons
704
ref
cons
nil
cons
cons
724
ref
subst
proveHyp
eqMp
207
ref
208
ref
10796
remove
nil
cons
cons
2744
ref
cons
nil
cons
cons
724
ref
subst
proveHyp
eqMp
207
ref
208
ref
10795
remove
nil
cons
cons
3240
ref
cons
nil
cons
cons
724
ref
subst
proveHyp
eqMp
207
ref
208
ref
10794
remove
nil
cons
cons
3241
ref
cons
nil
cons
cons
724
ref
subst
proveHyp
eqMp
207
ref
208
ref
10793
ref
nil
cons
cons
9454
ref
cons
nil
cons
cons
724
ref
subst
proveHyp
nil
110
ref
725
ref
10793
remove
appTerm
nil
cons
cons
10766
remove
cons
nil
cons
cons
175
ref
subst
proveHyp
10066
ref
10706
remove
subst
eqMp
proveHyp
proveHyp
proveHyp
proveHyp
proveHyp
proveHyp
eqMp
nil
10067
ref
153
ref
10765
ref
cons
nil
cons
10800
def
cons
nil
cons
cons
167
ref
subst
deductAntisym
eqMp
eqMp
eqMp
eqMp
nil
3916
ref
153
ref
10779
ref
cons
nil
cons
10801
def
cons
nil
cons
cons
167
ref
subst
deductAntisym
eqMp
eqMp
eqMp
nil
3918
ref
10801
ref
cons
nil
cons
cons
167
ref
subst
deductAntisym
eqMp
eqMp
absThm
eqMp
nil
110
ref
65
ref
258
ref
3919
ref
10778
ref
appTerm
absTerm
appTerm
nil
cons
cons
111
ref
3920
ref
10778
remove
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
175
ref
subst
proveHyp
256
ref
3921
ref
10801
ref
cons
nil
cons
cons
811
ref
subst
eqMp
nil
3923
ref
10780
remove
cons
nil
cons
cons
10802
def
126
ref
subst
10802
remove
194
ref
subst
10789
remove
"_32347"
44
ref
var
10803
def
71
ref
49
ref
9996
ref
10803
remove
varTerm
10804
def
appTerm
appTerm
49
ref
3393
ref
10804
ref
appTerm
appTerm
49
ref
3395
ref
10804
ref
appTerm
appTerm
5028
ref
10804
remove
appTerm
appTerm
appTerm
appTerm
appTerm
10086
ref
appTerm
absTerm
220
ref
appTerm
betaConv
appThm
10790
remove
10073
ref
10086
ref
appTerm
refl
appThm
trans
10791
remove
3929
ref
appThm
eqMp
sym
10074
ref
10775
ref
appThm
nil
139
ref
10765
remove
cons
nil
cons
nil
cons
cons
381
ref
subst
trans
sym
145
ref
eqMp
eqMp
eqMp
nil
3933
ref
10801
ref
cons
nil
cons
cons
167
ref
subst
deductAntisym
eqMp
nil
3933
ref
3934
ref
1335
ref
10779
remove
cons
nil
cons
cons
cons
nil
cons
cons
1350
ref
subst
proveHyp
proveHyp
eqMp
nil
3935
ref
10801
remove
cons
nil
cons
cons
167
ref
subst
deductAntisym
eqMp
eqMp
eqMp
eqMp
nil
10075
ref
10800
ref
cons
nil
cons
cons
167
ref
subst
deductAntisym
eqMp
eqMp
absThm
eqMp
nil
110
ref
65
ref
258
ref
10076
ref
10086
ref
appTerm
absTerm
appTerm
nil
cons
cons
111
ref
10077
ref
10086
remove
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
175
ref
subst
proveHyp
256
ref
10078
ref
10800
remove
cons
nil
cons
cons
811
ref
subst
eqMp
eqMp
eqMp
eqMp
eqMp
nil
151
ref
10104
remove
cons
153
ref
10105
remove
cons
nil
cons
cons
nil
cons
cons
167
ref
subst
deductAntisym
eqMp
nil
110
ref
10774
remove
10087
ref
appTerm
nil
cons
cons
111
ref
71
ref
10087
remove
appTerm
10084
ref
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
194
ref
subst
proveHyp
226
ref
216
ref
10079
ref
10194
remove
subst
appThm
10775
remove
appThm
appThm
10084
remove
refl
appThm
sym
10080
ref
9080
remove
subst
eqMp
eqMp
eqMp
eqMp
absThm
eqMp
eqMp
absThm
eqMp
eqMp
absThm
eqMp
eqMp
absThm
eqMp
eqMp
absThm
eqMp
eqMp
absThm
eqMp
eqMp
absThm
eqMp
eqMp
absThm
eqMp
nil
68
ref
10103
remove
appTerm
thm
nil
262
ref
9396
ref
99
ref
9397
ref
68
ref
2291
ref
99
ref
2313
ref
68
ref
2343
ref
99
ref
2360
ref
68
ref
2445
ref
99
ref
2423
ref
36
ref
905
ref
9401
ref
appTerm
10805
def
2322
ref
appTerm
10806
def
2369
ref
appTerm
10807
def
2457
ref
appTerm
10808
def
appTerm
49
ref
6204
ref
9398
ref
appTerm
2292
ref
appTerm
2344
ref
appTerm
2446
ref
appTerm
10809
def
appTerm
905
ref
9400
ref
appTerm
2314
ref
appTerm
2361
ref
appTerm
2424
ref
appTerm
10810
def
appTerm
10811
def
appTerm
10812
def
absTerm
10813
def
appTerm
10814
def
absTerm
10815
def
appTerm
10816
def
absTerm
10817
def
appTerm
10818
def
absTerm
10819
def
appTerm
10820
def
absTerm
10821
def
appTerm
10822
def
absTerm
10823
def
appTerm
10824
def
absTerm
10825
def
appTerm
10826
def
absTerm
10827
def
nil
cons
cons
nil
cons
nil
cons
cons
663
ref
subst
9396
ref
nil
139
ref
10826
remove
nil
cons
cons
nil
cons
nil
cons
cons
146
ref
subst
nil
208
ref
10825
remove
nil
cons
cons
nil
cons
nil
cons
cons
643
ref
subst
9397
ref
nil
139
ref
10824
remove
nil
cons
cons
nil
cons
nil
cons
cons
146
ref
subst
nil
262
ref
10823
remove
nil
cons
cons
nil
cons
nil
cons
cons
663
ref
subst
2291
ref
nil
139
ref
10822
remove
nil
cons
cons
nil
cons
nil
cons
cons
146
ref
subst
nil
208
ref
10821
remove
nil
cons
cons
nil
cons
nil
cons
cons
643
ref
subst
2313
ref
nil
139
ref
10820
remove
nil
cons
cons
nil
cons
nil
cons
cons
146
ref
subst
nil
262
ref
10819
remove
nil
cons
cons
nil
cons
nil
cons
cons
663
ref
subst
2343
ref
nil
139
ref
10818
remove
nil
cons
cons
nil
cons
nil
cons
cons
146
ref
subst
nil
208
ref
10817
remove
nil
cons
cons
nil
cons
nil
cons
cons
643
ref
subst
2360
ref
nil
139
ref
10816
remove
nil
cons
cons
nil
cons
nil
cons
cons
146
ref
subst
nil
262
ref
10815
remove
nil
cons
cons
nil
cons
nil
cons
cons
663
ref
subst
2445
ref
nil
139
ref
10814
remove
nil
cons
cons
nil
cons
nil
cons
cons
146
ref
subst
nil
208
ref
10813
remove
nil
cons
cons
nil
cons
nil
cons
cons
643
ref
subst
2423
ref
nil
139
ref
10812
remove
nil
cons
cons
nil
cons
nil
cons
cons
146
ref
subst
nil
110
ref
10808
ref
nil
cons
10828
def
cons
111
ref
10811
ref
nil
cons
10829
def
cons
nil
cons
cons
nil
cons
cons
10830
def
335
ref
subst
10830
ref
126
ref
subst
10830
remove
194
ref
subst
857
ref
725
ref
29
ref
725
ref
26
ref
725
ref
542
ref
47
ref
66
ref
7182
ref
9429
ref
appTerm
absTerm
appTerm
absTerm
appTerm
absTerm
appTerm
absTerm
appTerm
absTerm
10831
def
9401
ref
appTerm
betaConv
sym
29
ref
725
ref
26
ref
725
ref
542
ref
47
ref
66
ref
49
ref
10805
remove
39
ref
appTerm
41
ref
appTerm
547
ref
appTerm
10832
def
appTerm
10833
def
9434
ref
appTerm
absTerm
appTerm
absTerm
appTerm
absTerm
appTerm
absTerm
10834
def
2322
ref
appTerm
betaConv
sym
26
ref
725
ref
542
ref
47
ref
66
ref
49
ref
10806
remove
41
ref
appTerm
547
ref
appTerm
10835
def
appTerm
10836
def
9438
ref
appTerm
absTerm
appTerm
absTerm
appTerm
absTerm
10837
def
2369
ref
appTerm
betaConv
sym
542
ref
47
ref
66
ref
49
ref
10807
remove
547
ref
appTerm
10838
def
appTerm
10839
def
9442
ref
appTerm
absTerm
appTerm
absTerm
10840
def
2457
ref
appTerm
betaConv
sym
66
ref
49
ref
10808
ref
appTerm
10841
def
9445
ref
appTerm
absTerm
10842
def
220
ref
appTerm
betaConv
sym
216
ref
nil
139
ref
10828
ref
cons
nil
cons
nil
cons
cons
146
ref
subst
10808
ref
assume
eqMp
10843
def
appThm
10844
def
9453
ref
appThm
528
ref
trans
sym
145
ref
eqMp
eqMp
256
ref
257
ref
10842
remove
nil
cons
cons
1331
ref
cons
nil
cons
cons
724
ref
subst
proveHyp
eqMp
207
ref
208
ref
10840
remove
nil
cons
cons
2744
ref
cons
nil
cons
cons
724
ref
subst
proveHyp
eqMp
207
ref
208
ref
10837
remove
nil
cons
cons
3240
ref
cons
nil
cons
cons
724
ref
subst
proveHyp
eqMp
207
ref
208
ref
10834
remove
nil
cons
cons
3241
ref
cons
nil
cons
cons
724
ref
subst
proveHyp
eqMp
207
ref
208
ref
10831
ref
nil
cons
cons
9454
ref
cons
nil
cons
cons
724
ref
subst
proveHyp
nil
110
ref
725
ref
10831
remove
appTerm
nil
cons
cons
111
ref
10809
remove
nil
cons
10845
def
cons
nil
cons
cons
nil
cons
cons
175
ref
subst
proveHyp
9457
ref
552
ref
71
ref
725
ref
857
ref
725
ref
29
ref
725
ref
26
ref
725
ref
542
ref
47
ref
66
ref
7182
ref
9459
ref
appTerm
10846
def
absTerm
10847
def
appTerm
10848
def
absTerm
10849
def
appTerm
10850
def
absTerm
10851
def
appTerm
10852
def
absTerm
10853
def
appTerm
10854
def
absTerm
10855
def
appTerm
10856
def
appTerm
10857
def
6204
remove
9458
ref
appTerm
76
ref
appTerm
81
ref
appTerm
556
ref
appTerm
10858
def
appTerm
10859
def
absTerm
10860
def
556
ref
appTerm
10861
def
betaConv
70
ref
68
ref
10860
ref
appTerm
10862
def
absTerm
10863
def
81
ref
appTerm
10864
def
betaConv
69
ref
68
ref
10863
ref
appTerm
10865
def
absTerm
10866
def
76
ref
appTerm
10867
def
betaConv
9456
ref
68
ref
10866
ref
appTerm
10868
def
absTerm
10869
def
9458
ref
appTerm
10870
def
betaConv
nil
208
ref
857
ref
99
ref
29
ref
99
ref
26
ref
99
ref
542
ref
65
ref
66
ref
68
ref
9456
ref
68
ref
69
ref
68
ref
70
ref
68
ref
552
ref
71
ref
10846
ref
appTerm
10858
ref
appTerm
10871
def
absTerm
10872
def
appTerm
10873
def
absTerm
10874
def
appTerm
10875
def
absTerm
10876
def
appTerm
10877
def
absTerm
10878
def
appTerm
10879
def
absTerm
10880
def
appTerm
10881
def
absTerm
10882
def
appTerm
10883
def
absTerm
10884
def
appTerm
10885
def
absTerm
10886
def
appTerm
10887
def
absTerm
10888
def
nil
cons
cons
10889
def
nil
cons
nil
cons
cons
643
ref
subst
857
ref
nil
139
ref
10887
remove
nil
cons
10890
def
cons
nil
cons
nil
cons
cons
146
ref
subst
nil
208
ref
10886
ref
nil
cons
cons
10891
def
nil
cons
nil
cons
cons
643
ref
subst
29
ref
nil
139
ref
10885
remove
nil
cons
10892
def
cons
nil
cons
nil
cons
cons
146
ref
subst
nil
208
ref
10884
ref
nil
cons
cons
10893
def
nil
cons
nil
cons
cons
643
ref
subst
26
ref
nil
139
ref
10883
remove
nil
cons
10894
def
cons
nil
cons
nil
cons
cons
146
ref
subst
nil
208
ref
10882
ref
nil
cons
cons
10895
def
nil
cons
nil
cons
cons
643
ref
subst
542
ref
nil
139
ref
10881
remove
nil
cons
10896
def
cons
nil
cons
nil
cons
cons
146
ref
subst
nil
257
ref
10880
ref
nil
cons
cons
10897
def
nil
cons
nil
cons
cons
662
ref
subst
66
ref
nil
139
ref
10879
remove
nil
cons
10898
def
cons
nil
cons
nil
cons
cons
146
ref
subst
nil
262
ref
10878
ref
nil
cons
cons
10899
def
nil
cons
nil
cons
cons
663
ref
subst
9456
ref
nil
139
ref
10877
remove
nil
cons
10900
def
cons
nil
cons
nil
cons
cons
146
ref
subst
nil
262
ref
10876
ref
nil
cons
cons
10901
def
nil
cons
nil
cons
cons
663
ref
subst
69
ref
nil
139
ref
10875
remove
nil
cons
10902
def
cons
nil
cons
nil
cons
cons
146
ref
subst
nil
262
ref
10874
ref
nil
cons
cons
10903
def
nil
cons
nil
cons
cons
663
ref
subst
70
ref
nil
139
ref
10873
remove
nil
cons
10904
def
cons
nil
cons
nil
cons
cons
146
ref
subst
nil
262
ref
10872
ref
nil
cons
cons
10905
def
nil
cons
nil
cons
cons
663
ref
subst
552
ref
nil
139
ref
10871
remove
nil
cons
cons
nil
cons
nil
cons
cons
146
ref
subst
226
ref
7182
ref
refl
9522
ref
appThm
appThm
9523
ref
6476
ref
subst
appThm
sym
nil
110
ref
7182
ref
9546
ref
appTerm
nil
cons
10906
def
cons
111
ref
905
remove
9539
ref
appTerm
8751
ref
appTerm
8754
ref
appTerm
9542
ref
appTerm
nil
cons
10907
def
cons
nil
cons
10908
def
cons
nil
cons
cons
10909
def
126
ref
subst
10909
remove
194
ref
subst
nil
7197
remove
9551
ref
cons
nil
cons
cons
10910
def
167
ref
subst
10910
remove
334
ref
subst
9555
ref
9556
ref
9559
ref
9560
ref
9564
ref
9565
ref
857
ref
725
ref
29
ref
725
ref
26
ref
725
ref
542
ref
47
ref
271
ref
47
ref
48
ref
7182
ref
9567
ref
appTerm
absTerm
appTerm
absTerm
10911
def
appTerm
absTerm
10912
def
appTerm
absTerm
10913
def
appTerm
absTerm
10914
def
appTerm
absTerm
10915
def
861
ref
appTerm
betaConv
sym
10914
ref
39
ref
appTerm
betaConv
sym
10913
ref
41
ref
appTerm
betaConv
sym
10912
ref
547
ref
appTerm
betaConv
sym
10911
ref
74
ref
appTerm
betaConv
sym
48
ref
7182
ref
9573
ref
appTerm
absTerm
10916
def
240
ref
appTerm
betaConv
sym
216
ref
7199
remove
appThm
9575
ref
appThm
528
ref
trans
sym
145
ref
eqMp
eqMp
256
ref
257
ref
10916
remove
nil
cons
cons
704
ref
cons
nil
cons
cons
724
ref
subst
proveHyp
eqMp
256
ref
257
ref
10911
remove
nil
cons
cons
260
ref
cons
nil
cons
cons
724
ref
subst
proveHyp
eqMp
207
ref
208
ref
10912
remove
nil
cons
cons
595
ref
cons
nil
cons
cons
724
ref
subst
proveHyp
eqMp
207
ref
208
ref
10913
remove
nil
cons
cons
213
ref
cons
nil
cons
cons
724
ref
subst
proveHyp
eqMp
207
ref
208
ref
10914
remove
nil
cons
cons
210
ref
cons
nil
cons
cons
724
ref
subst
proveHyp
eqMp
207
ref
208
ref
10915
ref
nil
cons
cons
886
ref
cons
nil
cons
cons
724
ref
subst
proveHyp
nil
110
ref
725
ref
10915
remove
appTerm
nil
cons
cons
10908
remove
cons
nil
cons
cons
175
ref
subst
proveHyp
9577
ref
10640
ref
subst
eqMp
proveHyp
proveHyp
proveHyp
proveHyp
proveHyp
proveHyp
proveHyp
proveHyp
eqMp
nil
151
ref
10906
remove
cons
153
ref
10907
remove
cons
nil
cons
cons
nil
cons
cons
167
ref
subst
deductAntisym
eqMp
eqMp
eqMp
absThm
eqMp
eqMp
absThm
eqMp
eqMp
absThm
eqMp
eqMp
absThm
eqMp
eqMp
absThm
eqMp
eqMp
absThm
eqMp
eqMp
absThm
eqMp
eqMp
absThm
eqMp
eqMp
absThm
eqMp
10917
def
nil
110
ref
99
ref
10888
ref
appTerm
10918
def
nil
cons
10919
def
cons
10920
def
111
ref
68
ref
10869
ref
appTerm
nil
cons
10921
def
cons
nil
cons
cons
nil
cons
cons
10922
def
175
ref
subst
proveHyp
10922
ref
126
ref
subst
10922
remove
194
ref
subst
nil
262
ref
10869
remove
nil
cons
cons
10923
def
nil
cons
nil
cons
cons
663
ref
subst
9456
ref
nil
139
ref
10868
remove
nil
cons
10924
def
cons
nil
cons
nil
cons
cons
146
ref
subst
nil
262
ref
10866
remove
nil
cons
cons
10925
def
nil
cons
nil
cons
cons
663
ref
subst
69
ref
nil
139
ref
10865
remove
nil
cons
10926
def
cons
nil
cons
nil
cons
cons
146
ref
subst
nil
262
ref
10863
remove
nil
cons
cons
10927
def
nil
cons
nil
cons
cons
663
ref
subst
70
ref
nil
139
ref
10862
remove
nil
cons
10928
def
cons
nil
cons
nil
cons
cons
146
ref
subst
nil
262
ref
10860
remove
nil
cons
cons
10929
def
nil
cons
nil
cons
cons
663
ref
subst
552
ref
nil
139
ref
10859
remove
nil
cons
cons
nil
cons
nil
cons
cons
146
ref
subst
nil
110
ref
10856
remove
nil
cons
10930
def
cons
10931
def
111
ref
10858
ref
nil
cons
10932
def
cons
nil
cons
10933
def
cons
nil
cons
cons
10934
def
126
ref
subst
10934
remove
194
ref
subst
nil
10920
ref
10933
ref
cons
nil
cons
cons
10935
def
175
ref
subst
nil
10931
remove
111
ref
71
ref
10918
ref
appTerm
10858
remove
appTerm
10936
def
nil
cons
10937
def
cons
nil
cons
10938
def
cons
nil
cons
cons
175
ref
subst
nil
208
ref
857
ref
71
ref
10855
ref
861
ref
appTerm
10939
def
appTerm
10936
ref
appTerm
10940
def
absTerm
nil
cons
cons
nil
cons
nil
cons
cons
643
ref
subst
857
ref
nil
139
ref
10940
remove
nil
cons
cons
nil
cons
nil
cons
cons
146
ref
subst
nil
110
ref
10939
ref
nil
cons
10941
def
cons
10938
ref
cons
nil
cons
cons
10942
def
126
ref
subst
10942
remove
194
ref
subst
10939
ref
betaConv
10939
remove
assume
eqMp
nil
110
ref
10854
ref
nil
cons
cons
10938
ref
cons
nil
cons
cons
175
ref
subst
proveHyp
nil
208
ref
29
ref
71
ref
10853
ref
39
ref
appTerm
10943
def
appTerm
10936
ref
appTerm
10944
def
absTerm
10945
def
nil
cons
cons
nil
cons
nil
cons
cons
643
ref
subst
29
ref
nil
139
ref
10944
remove
nil
cons
cons
nil
cons
nil
cons
cons
146
ref
subst
nil
110
ref
10943
ref
nil
cons
10946
def
cons
10938
ref
cons
nil
cons
cons
10947
def
126
ref
subst
10947
remove
194
ref
subst
10943
ref
betaConv
10943
remove
assume
eqMp
nil
110
ref
10852
ref
nil
cons
cons
10938
ref
cons
nil
cons
cons
175
ref
subst
proveHyp
nil
208
ref
26
ref
71
ref
10851
ref
41
ref
appTerm
10948
def
appTerm
10936
ref
appTerm
10949
def
absTerm
nil
cons
cons
nil
cons
nil
cons
cons
643
ref
subst
26
ref
nil
139
ref
10949
remove
nil
cons
cons
nil
cons
nil
cons
cons
146
ref
subst
nil
110
ref
10948
ref
nil
cons
10950
def
cons
10938
ref
cons
nil
cons
cons
10951
def
126
ref
subst
10951
remove
194
ref
subst
10948
ref
betaConv
10948
remove
assume
eqMp
nil
110
ref
10850
ref
nil
cons
cons
10938
ref
cons
nil
cons
cons
175
ref
subst
proveHyp
nil
208
ref
542
ref
71
ref
10849
ref
547
ref
appTerm
10952
def
appTerm
10936
ref
appTerm
10953
def
absTerm
nil
cons
cons
nil
cons
nil
cons
cons
643
ref
subst
542
ref
nil
139
ref
10953
remove
nil
cons
cons
nil
cons
nil
cons
cons
146
ref
subst
nil
110
ref
10952
ref
nil
cons
10954
def
cons
10938
ref
cons
nil
cons
cons
10955
def
126
ref
subst
10955
remove
194
ref
subst
10952
ref
betaConv
10952
remove
assume
eqMp
nil
110
ref
10848
ref
nil
cons
cons
10938
ref
cons
nil
cons
cons
175
ref
subst
proveHyp
nil
257
ref
66
ref
71
ref
10847
ref
74
ref
appTerm
10956
def
appTerm
10936
ref
appTerm
10957
def
absTerm
nil
cons
cons
nil
cons
nil
cons
cons
662
ref
subst
66
ref
nil
139
ref
10957
remove
nil
cons
cons
nil
cons
nil
cons
cons
146
ref
subst
nil
110
ref
10956
ref
nil
cons
10958
def
cons
10938
ref
cons
nil
cons
cons
10959
def
126
ref
subst
10959
remove
194
ref
subst
10956
ref
betaConv
10956
remove
assume
eqMp
nil
110
ref
10846
remove
nil
cons
10960
def
cons
10961
def
10938
remove
cons
nil
cons
cons
10962
def
175
ref
subst
proveHyp
10962
ref
126
ref
subst
10962
remove
194
ref
subst
10935
ref
126
ref
subst
10935
remove
194
ref
subst
nil
10961
remove
10933
remove
cons
nil
cons
cons
175
ref
subst
10872
remove
556
ref
appTerm
10963
def
betaConv
10874
remove
81
ref
appTerm
10964
def
betaConv
10876
remove
76
ref
appTerm
10965
def
betaConv
10878
remove
9458
ref
appTerm
10966
def
betaConv
10880
remove
74
ref
appTerm
10967
def
betaConv
10882
remove
547
ref
appTerm
10968
def
betaConv
10884
remove
41
ref
appTerm
10969
def
betaConv
10886
remove
39
ref
appTerm
10970
def
betaConv
10888
remove
861
ref
appTerm
10971
def
betaConv
nil
10920
remove
111
ref
10971
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
175
ref
subst
207
ref
10889
remove
886
ref
cons
nil
cons
cons
205
ref
subst
eqMp
eqMp
nil
110
ref
10890
remove
cons
111
ref
10970
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
175
ref
subst
proveHyp
207
ref
10891
remove
210
ref
cons
nil
cons
cons
205
ref
subst
eqMp
eqMp
nil
110
ref
10892
remove
cons
111
ref
10969
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
175
ref
subst
proveHyp
207
ref
10893
remove
213
ref
cons
nil
cons
cons
205
ref
subst
eqMp
eqMp
nil
110
ref
10894
remove
cons
111
ref
10968
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
175
ref
subst
proveHyp
207
ref
10895
remove
595
ref
cons
nil
cons
cons
205
ref
subst
eqMp
eqMp
nil
110
ref
10896
remove
cons
111
ref
10967
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
175
ref
subst
proveHyp
256
ref
10897
remove
260
ref
cons
nil
cons
cons
205
ref
subst
eqMp
eqMp
nil
110
ref
10898
remove
cons
111
ref
10966
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
175
ref
subst
proveHyp
261
ref
10899
remove
9969
ref
cons
nil
cons
cons
205
ref
subst
eqMp
eqMp
nil
110
ref
10900
remove
cons
111
ref
10965
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
175
ref
subst
proveHyp
261
ref
10901
remove
824
ref
cons
nil
cons
cons
205
ref
subst
eqMp
eqMp
nil
110
ref
10902
remove
cons
111
ref
10964
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
175
ref
subst
proveHyp
261
ref
10903
remove
828
ref
cons
nil
cons
cons
205
ref
subst
eqMp
eqMp
nil
110
ref
10904
remove
cons
111
ref
10963
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
175
ref
subst
proveHyp
261
ref
10905
remove
2526
ref
cons
nil
cons
cons
205
ref
subst
eqMp
eqMp
eqMp
eqMp
nil
151
ref
10919
remove
cons
10972
def
153
ref
10932
remove
cons
nil
cons
10973
def
cons
nil
cons
cons
167
ref
subst
deductAntisym
eqMp
eqMp
nil
151
ref
10960
remove
cons
153
ref
10937
remove
cons
nil
cons
10974
def
cons
nil
cons
cons
167
ref
subst
deductAntisym
eqMp
eqMp
eqMp
nil
151
ref
10958
remove
cons
10974
ref
cons
nil
cons
cons
167
ref
subst
deductAntisym
eqMp
eqMp
absThm
eqMp
nil
110
ref
65
ref
258
ref
71
ref
10847
ref
797
ref
appTerm
appTerm
10936
ref
appTerm
absTerm
appTerm
nil
cons
cons
111
ref
71
ref
10848
remove
appTerm
10936
ref
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
175
ref
subst
proveHyp
256
ref
257
ref
10847
remove
nil
cons
cons
10974
ref
cons
nil
cons
cons
811
ref
subst
eqMp
eqMp
eqMp
nil
151
ref
10954
remove
cons
10974
ref
cons
nil
cons
cons
167
ref
subst
deductAntisym
eqMp
eqMp
absThm
eqMp
nil
110
ref
99
ref
1892
ref
71
ref
10849
ref
1893
ref
appTerm
appTerm
10936
ref
appTerm
absTerm
appTerm
nil
cons
cons
111
ref
71
ref
10850
remove
appTerm
10936
ref
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
175
ref
subst
proveHyp
207
ref
208
ref
10849
remove
nil
cons
cons
10974
ref
cons
nil
cons
cons
811
ref
subst
eqMp
eqMp
eqMp
nil
151
ref
10950
remove
cons
10974
ref
cons
nil
cons
cons
167
ref
subst
deductAntisym
eqMp
eqMp
absThm
eqMp
nil
110
ref
99
ref
1892
ref
71
ref
10851
ref
1893
ref
appTerm
appTerm
10936
ref
appTerm
absTerm
appTerm
nil
cons
cons
111
ref
71
ref
10852
remove
appTerm
10936
ref
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
175
ref
subst
proveHyp
207
ref
208
ref
10851
remove
nil
cons
cons
10974
ref
cons
nil
cons
cons
811
ref
subst
eqMp
eqMp
eqMp
nil
151
ref
10946
remove
cons
10974
ref
cons
nil
cons
cons
167
ref
subst
deductAntisym
eqMp
eqMp
absThm
eqMp
nil
110
ref
99
ref
10945
remove
appTerm
nil
cons
cons
111
ref
71
ref
10854
remove
appTerm
10936
ref
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
175
ref
subst
proveHyp
207
ref
208
ref
10853
remove
nil
cons
cons
10974
ref
cons
nil
cons
cons
811
ref
subst
eqMp
eqMp
eqMp
nil
151
ref
10941
remove
cons
10974
ref
cons
nil
cons
cons
167
ref
subst
deductAntisym
eqMp
eqMp
absThm
eqMp
nil
110
ref
99
ref
29
ref
71
ref
10855
ref
39
ref
appTerm
appTerm
10936
ref
appTerm
absTerm
appTerm
nil
cons
cons
111
ref
10857
remove
10936
remove
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
175
ref
subst
proveHyp
207
ref
208
ref
10855
remove
nil
cons
cons
10974
remove
cons
nil
cons
cons
811
ref
subst
eqMp
eqMp
eqMp
eqMp
nil
151
ref
10930
remove
cons
10973
remove
cons
nil
cons
cons
167
ref
subst
deductAntisym
eqMp
eqMp
absThm
eqMp
eqMp
absThm
eqMp
eqMp
absThm
eqMp
eqMp
absThm
eqMp
eqMp
nil
10972
remove
153
ref
10921
ref
cons
nil
cons
cons
nil
cons
cons
167
ref
subst
deductAntisym
eqMp
eqMp
nil
110
ref
10921
remove
cons
111
ref
10870
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
175
ref
subst
proveHyp
261
ref
10923
remove
9969
ref
cons
nil
cons
cons
205
ref
subst
eqMp
eqMp
nil
110
ref
10924
remove
cons
111
ref
10867
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
175
ref
subst
proveHyp
261
ref
10925
remove
824
ref
cons
nil
cons
cons
205
ref
subst
eqMp
eqMp
nil
110
ref
10926
remove
cons
111
ref
10864
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
175
ref
subst
proveHyp
261
ref
10927
remove
828
ref
cons
nil
cons
cons
205
ref
subst
eqMp
eqMp
nil
110
ref
10928
remove
cons
111
ref
10861
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
175
ref
subst
proveHyp
261
ref
10929
remove
2526
ref
cons
nil
cons
cons
205
ref
subst
eqMp
eqMp
subst
eqMp
nil
110
ref
10845
remove
cons
111
ref
10810
ref
nil
cons
10975
def
cons
nil
cons
10976
def
cons
nil
cons
cons
194
ref
subst
proveHyp
542
ref
71
ref
10838
remove
appTerm
9976
ref
appTerm
absTerm
10977
def
2457
ref
appTerm
10978
def
betaConv
26
ref
99
ref
542
ref
71
ref
10835
remove
appTerm
9979
ref
appTerm
absTerm
appTerm
absTerm
10979
def
2369
ref
appTerm
10980
def
betaConv
29
ref
99
ref
26
ref
99
ref
542
ref
71
ref
10832
remove
appTerm
9982
ref
appTerm
absTerm
appTerm
absTerm
appTerm
absTerm
10981
def
2322
ref
appTerm
10982
def
betaConv
7034
remove
9401
ref
appTerm
10983
def
betaConv
7088
remove
nil
7090
remove
111
ref
10983
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
175
ref
subst
proveHyp
207
ref
7036
remove
9454
ref
cons
nil
cons
cons
205
ref
subst
eqMp
eqMp
nil
110
ref
99
ref
10981
ref
appTerm
nil
cons
cons
111
ref
10982
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
175
ref
subst
proveHyp
207
ref
208
ref
10981
remove
nil
cons
cons
3241
ref
cons
nil
cons
cons
205
ref
subst
eqMp
eqMp
nil
110
ref
99
ref
10979
ref
appTerm
nil
cons
cons
111
ref
10980
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
175
ref
subst
proveHyp
207
ref
208
ref
10979
remove
nil
cons
cons
3240
ref
cons
nil
cons
cons
205
ref
subst
eqMp
eqMp
nil
110
ref
99
ref
10977
ref
appTerm
nil
cons
cons
111
ref
10978
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
175
ref
subst
proveHyp
207
ref
208
ref
10977
remove
nil
cons
cons
2744
ref
cons
nil
cons
cons
205
ref
subst
eqMp
eqMp
nil
110
ref
71
ref
10808
ref
appTerm
10984
def
9987
ref
appTerm
nil
cons
cons
10976
ref
cons
nil
cons
cons
175
ref
subst
proveHyp
226
ref
226
ref
10843
remove
appThm
9995
ref
appThm
9999
ref
trans
appThm
10810
ref
refl
10985
def
appThm
sym
nil
257
ref
493
ref
10002
ref
10810
ref
appTerm
10986
def
absTerm
nil
cons
cons
nil
cons
nil
cons
cons
662
ref
subst
493
ref
nil
139
ref
10986
remove
nil
cons
cons
nil
cons
nil
cons
cons
146
ref
subst
nil
10005
ref
10976
ref
cons
nil
cons
cons
10987
def
126
ref
subst
10987
remove
194
ref
subst
10007
ref
nil
10009
ref
10976
ref
cons
nil
cons
cons
175
ref
subst
proveHyp
3408
ref
nil
3410
ref
111
ref
10010
ref
10810
ref
appTerm
10988
def
nil
cons
10989
def
cons
nil
cons
10990
def
cons
nil
cons
cons
10991
def
175
ref
subst
proveHyp
10991
ref
126
ref
subst
10991
remove
194
ref
subst
nil
257
ref
48
ref
3416
ref
10988
ref
appTerm
10992
def
absTerm
nil
cons
cons
nil
cons
nil
cons
cons
662
ref
subst
48
ref
nil
139
ref
10992
remove
nil
cons
cons
nil
cons
nil
cons
cons
146
ref
subst
nil
3419
ref
10990
ref
cons
nil
cons
cons
10993
def
126
ref
subst
10993
remove
194
ref
subst
3421
ref
nil
3423
ref
10990
ref
cons
nil
cons
cons
10994
def
175
ref
subst
proveHyp
10994
ref
126
ref
subst
10994
remove
194
ref
subst
36
ref
"_32219"
44
ref
var
10995
def
71
ref
49
ref
9996
ref
10995
remove
varTerm
10996
def
appTerm
appTerm
49
ref
3393
ref
10996
ref
appTerm
appTerm
49
ref
3395
ref
10996
ref
appTerm
appTerm
5028
ref
10996
remove
appTerm
appTerm
appTerm
appTerm
appTerm
10810
ref
appTerm
absTerm
10997
def
496
ref
appTerm
10998
def
appTerm
refl
10999
def
10997
ref
309
ref
appTerm
betaConv
appThm
155
ref
10998
remove
betaConv
appThm
11000
def
10024
ref
10810
ref
appTerm
refl
appThm
trans
10997
remove
refl
11001
def
3434
ref
appThm
eqMp
sym
10026
ref
10985
ref
appThm
sym
nil
10029
ref
10976
ref
cons
nil
cons
cons
11002
def
126
ref
subst
11002
remove
194
ref
subst
10032
ref
10033
ref
5060
ref
5061
ref
5064
ref
5065
ref
857
ref
725
ref
29
ref
725
ref
26
ref
725
ref
542
ref
47
ref
271
ref
47
ref
48
ref
7182
remove
10034
ref
appTerm
absTerm
appTerm
absTerm
appTerm
absTerm
appTerm
absTerm
appTerm
absTerm
appTerm
absTerm
11003
def
9401
ref
appTerm
betaConv
sym
29
ref
725
ref
26
ref
725
ref
542
ref
47
ref
271
ref
47
ref
48
ref
10833
remove
10038
ref
appTerm
absTerm
appTerm
absTerm
appTerm
absTerm
appTerm
absTerm
appTerm
absTerm
11004
def
2322
ref
appTerm
betaConv
sym
26
ref
725
ref
542
ref
47
ref
271
ref
47
ref
48
ref
10836
remove
10040
ref
appTerm
absTerm
appTerm
absTerm
appTerm
absTerm
appTerm
absTerm
11005
def
2369
ref
appTerm
betaConv
sym
542
ref
47
ref
271
ref
47
ref
48
ref
10839
remove
10042
ref
appTerm
absTerm
appTerm
absTerm
appTerm
absTerm
11006
def
2457
ref
appTerm
betaConv
sym
271
ref
47
ref
48
ref
10841
ref
10044
ref
appTerm
absTerm
appTerm
absTerm
11007
def
240
ref
appTerm
betaConv
sym
48
ref
10841
ref
10049
ref
appTerm
absTerm
11008
def
57
ref
appTerm
betaConv
sym
nil
10051
ref
10053
ref
3127
ref
10828
ref
cons
nil
cons
cons
cons
nil
cons
cons
3479
ref
subst
nil
5085
ref
3469
ref
3127
ref
10841
remove
10047
ref
appTerm
11009
def
nil
cons
cons
nil
cons
cons
cons
nil
cons
cons
3479
ref
subst
nil
5087
ref
5088
ref
3127
ref
49
ref
11009
remove
appTerm
3461
ref
appTerm
nil
cons
cons
nil
cons
cons
cons
nil
cons
cons
3479
ref
subst
trans
trans
216
ref
216
ref
216
ref
10844
remove
10055
ref
appThm
10056
ref
trans
appThm
3480
ref
appThm
appThm
3482
ref
appThm
appThm
5089
ref
appThm
trans
sym
10065
ref
eqMp
eqMp
256
ref
257
ref
11008
remove
nil
cons
cons
293
ref
cons
nil
cons
cons
724
ref
subst
proveHyp
eqMp
256
ref
257
ref
11007
remove
nil
cons
cons
704
ref
cons
nil
cons
cons
724
ref
subst
proveHyp
eqMp
207
ref
208
ref
11006
remove
nil
cons
cons
2744
ref
cons
nil
cons
cons
724
ref
subst
proveHyp
eqMp
207
ref
208
ref
11005
remove
nil
cons
cons
3240
ref
cons
nil
cons
cons
724
ref
subst
proveHyp
eqMp
207
ref
208
ref
11004
remove
nil
cons
cons
3241
ref
cons
nil
cons
cons
724
ref
subst
proveHyp
eqMp
207
ref
208
ref
11003
ref
nil
cons
cons
9454
ref
cons
nil
cons
cons
724
ref
subst
proveHyp
nil
110
ref
725
ref
11003
remove
appTerm
nil
cons
cons
10976
remove
cons
nil
cons
cons
175
ref
subst
proveHyp
10066
ref
10640
remove
subst
eqMp
proveHyp
proveHyp
proveHyp
proveHyp
proveHyp
proveHyp
eqMp
nil
10067
ref
153
ref
10975
ref
cons
nil
cons
11010
def
cons
nil
cons
cons
167
ref
subst
deductAntisym
eqMp
eqMp
eqMp
eqMp
nil
3916
ref
153
ref
10989
ref
cons
nil
cons
11011
def
cons
nil
cons
cons
167
ref
subst
deductAntisym
eqMp
eqMp
eqMp
nil
3918
ref
11011
ref
cons
nil
cons
cons
167
ref
subst
deductAntisym
eqMp
eqMp
absThm
eqMp
nil
110
ref
65
ref
258
ref
3919
ref
10988
ref
appTerm
absTerm
appTerm
nil
cons
cons
111
ref
3920
ref
10988
remove
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
175
ref
subst
proveHyp
256
ref
3921
ref
11011
ref
cons
nil
cons
cons
811
ref
subst
eqMp
nil
3923
ref
10990
remove
cons
nil
cons
cons
11012
def
126
ref
subst
11012
remove
194
ref
subst
10999
remove
"_32217"
44
ref
var
11013
def
71
ref
49
ref
9996
ref
11013
remove
varTerm
11014
def
appTerm
appTerm
49
ref
3393
ref
11014
ref
appTerm
appTerm
49
ref
3395
ref
11014
ref
appTerm
appTerm
5028
ref
11014
remove
appTerm
appTerm
appTerm
appTerm
appTerm
10810
ref
appTerm
absTerm
220
ref
appTerm
betaConv
appThm
11000
remove
10073
ref
10810
ref
appTerm
refl
appThm
trans
11001
remove
3929
ref
appThm
eqMp
sym
10074
ref
10985
ref
appThm
nil
139
ref
10975
remove
cons
nil
cons
nil
cons
cons
381
ref
subst
trans
sym
145
ref
eqMp
eqMp
eqMp
nil
3933
ref
11011
ref
cons
nil
cons
cons
167
ref
subst
deductAntisym
eqMp
nil
3933
ref
3934
ref
1335
ref
10989
remove
cons
nil
cons
cons
cons
nil
cons
cons
1350
ref
subst
proveHyp
proveHyp
eqMp
nil
3935
ref
11011
remove
cons
nil
cons
cons
167
ref
subst
deductAntisym
eqMp
eqMp
eqMp
eqMp
nil
10075
ref
11010
ref
cons
nil
cons
cons
167
ref
subst
deductAntisym
eqMp
eqMp
absThm
eqMp
nil
110
ref
65
ref
258
ref
10076
ref
10810
ref
appTerm
absTerm
appTerm
nil
cons
cons
111
ref
10077
ref
10810
remove
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
175
ref
subst
proveHyp
256
ref
10078
ref
11010
remove
cons
nil
cons
cons
811
ref
subst
eqMp
eqMp
eqMp
eqMp
eqMp
nil
151
ref
10828
remove
cons
153
ref
10829
remove
cons
nil
cons
cons
nil
cons
cons
167
ref
subst
deductAntisym
eqMp
nil
110
ref
10984
remove
10811
ref
appTerm
nil
cons
cons
111
ref
71
ref
10811
remove
appTerm
10808
ref
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
194
ref
subst
proveHyp
226
ref
216
ref
10079
ref
6476
remove
subst
appThm
10985
remove
appThm
appThm
10808
remove
refl
appThm
sym
10080
ref
9077
remove
subst
eqMp
eqMp
eqMp
eqMp
absThm
eqMp
eqMp
absThm
eqMp
eqMp
absThm
eqMp
eqMp
absThm
eqMp
eqMp
absThm
eqMp
eqMp
absThm
eqMp
eqMp
absThm
eqMp
eqMp
absThm
eqMp
nil
68
ref
10827
remove
appTerm
thm
nil
262
ref
9396
ref
99
ref
9397
ref
68
ref
2291
ref
99
ref
2313
ref
68
ref
2343
ref
99
ref
2360
ref
68
ref
2445
ref
99
ref
2423
ref
36
ref
968
ref
9401
ref
appTerm
11015
def
2322
ref
appTerm
11016
def
2369
ref
appTerm
11017
def
2457
ref
appTerm
11018
def
appTerm
49
ref
6520
ref
9398
remove
appTerm
2292
remove
appTerm
2344
remove
appTerm
2446
remove
appTerm
11019
def
appTerm
968
ref
9400
remove
appTerm
2314
remove
appTerm
2361
remove
appTerm
2424
remove
appTerm
11020
def
appTerm
11021
def
appTerm
11022
def
absTerm
11023
def
appTerm
11024
def
absTerm
11025
def
appTerm
11026
def
absTerm
11027
def
appTerm
11028
def
absTerm
11029
def
appTerm
11030
def
absTerm
11031
def
appTerm
11032
def
absTerm
11033
def
appTerm
11034
def
absTerm
11035
def
appTerm
11036
def
absTerm
11037
def
nil
cons
cons
nil
cons
nil
cons
cons
663
ref
subst
9396
remove
nil
139
ref
11036
remove
nil
cons
cons
nil
cons
nil
cons
cons
146
ref
subst
nil
208
ref
11035
remove
nil
cons
cons
nil
cons
nil
cons
cons
643
ref
subst
9397
remove
nil
139
ref
11034
remove
nil
cons
cons
nil
cons
nil
cons
cons
146
ref
subst
nil
262
ref
11033
remove
nil
cons
cons
nil
cons
nil
cons
cons
663
ref
subst
2291
remove
nil
139
ref
11032
remove
nil
cons
cons
nil
cons
nil
cons
cons
146
ref
subst
nil
208
ref
11031
remove
nil
cons
cons
nil
cons
nil
cons
cons
643
ref
subst
2313
remove
nil
139
ref
11030
remove
nil
cons
cons
nil
cons
nil
cons
cons
146
ref
subst
nil
262
ref
11029
remove
nil
cons
cons
nil
cons
nil
cons
cons
663
ref
subst
2343
remove
nil
139
ref
11028
remove
nil
cons
cons
nil
cons
nil
cons
cons
146
ref
subst
nil
208
ref
11027
remove
nil
cons
cons
nil
cons
nil
cons
cons
643
ref
subst
2360
remove
nil
139
ref
11026
remove
nil
cons
cons
nil
cons
nil
cons
cons
146
ref
subst
nil
262
ref
11025
remove
nil
cons
cons
nil
cons
nil
cons
cons
663
ref
subst
2445
remove
nil
139
ref
11024
remove
nil
cons
cons
nil
cons
nil
cons
cons
146
ref
subst
nil
208
ref
11023
remove
nil
cons
cons
nil
cons
nil
cons
cons
643
ref
subst
2423
remove
nil
139
ref
11022
remove
nil
cons
cons
nil
cons
nil
cons
cons
146
ref
subst
nil
110
ref
11018
ref
nil
cons
11038
def
cons
111
ref
11021
ref
nil
cons
11039
def
cons
nil
cons
cons
nil
cons
cons
11040
def
335
remove
subst
11040
ref
126
ref
subst
11040
remove
194
ref
subst
857
ref
725
ref
29
ref
725
ref
26
ref
725
ref
542
ref
47
ref
66
ref
7200
ref
9429
remove
appTerm
absTerm
appTerm
absTerm
appTerm
absTerm
appTerm
absTerm
appTerm
absTerm
11041
def
9401
ref
appTerm
betaConv
sym
29
ref
725
ref
26
ref
725
ref
542
ref
47
ref
66
ref
49
ref
11015
remove
39
ref
appTerm
41
ref
appTerm
547
ref
appTerm
11042
def
appTerm
11043
def
9434
remove
appTerm
absTerm
appTerm
absTerm
appTerm
absTerm
appTerm
absTerm
11044
def
2322
ref
appTerm
betaConv
sym
26
ref
725
ref
542
ref
47
ref
66
ref
49
ref
11016
remove
41
ref
appTerm
547
ref
appTerm
11045
def
appTerm
11046
def
9438
remove
appTerm
absTerm
appTerm
absTerm
appTerm
absTerm
11047
def
2369
ref
appTerm
betaConv
sym
542
ref
47
ref
66
ref
49
ref
11017
remove
547
ref
appTerm
11048
def
appTerm
11049
def
9442
remove
appTerm
absTerm
appTerm
absTerm
11050
def
2457
ref
appTerm
betaConv
sym
66
ref
49
ref
11018
ref
appTerm
11051
def
9445
remove
appTerm
absTerm
11052
def
220
ref
appTerm
betaConv
sym
216
ref
nil
139
ref
11038
ref
cons
nil
cons
nil
cons
cons
146
ref
subst
11018
ref
assume
eqMp
11053
def
appThm
11054
def
9453
remove
appThm
528
ref
trans
sym
145
ref
eqMp
eqMp
256
ref
257
ref
11052
remove
nil
cons
cons
1331
remove
cons
nil
cons
cons
724
ref
subst
proveHyp
eqMp
207
ref
208
ref
11050
remove
nil
cons
cons
2744
ref
cons
nil
cons
cons
724
ref
subst
proveHyp
eqMp
207
ref
208
ref
11047
remove
nil
cons
cons
3240
ref
cons
nil
cons
cons
724
ref
subst
proveHyp
eqMp
207
ref
208
ref
11044
remove
nil
cons
cons
3241
ref
cons
nil
cons
cons
724
ref
subst
proveHyp
eqMp
207
ref
208
ref
11041
ref
nil
cons
cons
9454
ref
cons
nil
cons
cons
724
ref
subst
proveHyp
nil
110
ref
725
ref
11041
remove
appTerm
nil
cons
cons
111
ref
11019
remove
nil
cons
11055
def
cons
nil
cons
cons
nil
cons
cons
175
ref
subst
proveHyp
9457
remove
552
ref
71
ref
725
ref
857
ref
725
ref
29
ref
725
ref
26
ref
725
ref
542
ref
47
ref
66
ref
7200
ref
9459
remove
appTerm
11056
def
absTerm
11057
def
appTerm
11058
def
absTerm
11059
def
appTerm
11060
def
absTerm
11061
def
appTerm
11062
def
absTerm
11063
def
appTerm
11064
def
absTerm
11065
def
appTerm
11066
def
appTerm
11067
def
6520
remove
9458
ref
appTerm
76
ref
appTerm
81
ref
appTerm
556
ref
appTerm
11068
def
appTerm
11069
def
absTerm
11070
def
556
ref
appTerm
11071
def
betaConv
70
ref
68
ref
11070
ref
appTerm
11072
def
absTerm
11073
def
81
ref
appTerm
11074
def
betaConv
69
ref
68
ref
11073
ref
appTerm
11075
def
absTerm
11076
def
76
ref
appTerm
11077
def
betaConv
9456
ref
68
ref
11076
ref
appTerm
11078
def
absTerm
11079
def
9458
ref
appTerm
11080
def
betaConv
nil
208
ref
857
ref
99
ref
29
ref
99
ref
26
ref
99
ref
542
ref
65
ref
66
ref
68
ref
9456
ref
68
ref
69
ref
68
ref
70
ref
68
ref
552
ref
71
ref
11056
ref
appTerm
11068
ref
appTerm
11081
def
absTerm
11082
def
appTerm
11083
def
absTerm
11084
def
appTerm
11085
def
absTerm
11086
def
appTerm
11087
def
absTerm
11088
def
appTerm
11089
def
absTerm
11090
def
appTerm
11091
def
absTerm
11092
def
appTerm
11093
def
absTerm
11094
def
appTerm
11095
def
absTerm
11096
def
appTerm
11097
def
absTerm
11098
def
nil
cons
cons
11099
def
nil
cons
nil
cons
cons
643
ref
subst
857
ref
nil
139
ref
11097
remove
nil
cons
11100
def
cons
nil
cons
nil
cons
cons
146
ref
subst
nil
208
ref
11096
ref
nil
cons
cons
11101
def
nil
cons
nil
cons
cons
643
ref
subst
29
ref
nil
139
ref
11095
remove
nil
cons
11102
def
cons
nil
cons
nil
cons
cons
146
ref
subst
nil
208
ref
11094
ref
nil
cons
cons
11103
def
nil
cons
nil
cons
cons
643
ref
subst
26
ref
nil
139
ref
11093
remove
nil
cons
11104
def
cons
nil
cons
nil
cons
cons
146
ref
subst
nil
208
ref
11092
ref
nil
cons
cons
11105
def
nil
cons
nil
cons
cons
643
ref
subst
542
ref
nil
139
ref
11091
remove
nil
cons
11106
def
cons
nil
cons
nil
cons
cons
146
ref
subst
nil
257
ref
11090
ref
nil
cons
cons
11107
def
nil
cons
nil
cons
cons
662
ref
subst
66
ref
nil
139
ref
11089
remove
nil
cons
11108
def
cons
nil
cons
nil
cons
cons
146
ref
subst
nil
262
ref
11088
ref
nil
cons
cons
11109
def
nil
cons
nil
cons
cons
663
ref
subst
9456
ref
nil
139
ref
11087
remove
nil
cons
11110
def
cons
nil
cons
nil
cons
cons
146
ref
subst
nil
262
ref
11086
ref
nil
cons
cons
11111
def
nil
cons
nil
cons
cons
663
ref
subst
69
ref
nil
139
ref
11085
remove
nil
cons
11112
def
cons
nil
cons
nil
cons
cons
146
ref
subst
nil
262
ref
11084
ref
nil
cons
cons
11113
def
nil
cons
nil
cons
cons
663
ref
subst
70
ref
nil
139
ref
11083
remove
nil
cons
11114
def
cons
nil
cons
nil
cons
cons
146
ref
subst
nil
262
ref
11082
ref
nil
cons
cons
11115
def
nil
cons
nil
cons
cons
663
ref
subst
552
ref
nil
139
ref
11081
remove
nil
cons
cons
nil
cons
nil
cons
cons
146
ref
subst
226
ref
7200
ref
refl
9522
remove
appThm
appThm
9523
remove
2165
ref
6530
remove
6519
remove
appTerm
11116
def
absTerm
11117
def
2168
remove
appTerm
11118
def
betaConv
1001
ref
68
ref
11117
ref
appTerm
11119
def
absTerm
11120
def
1002
remove
appTerm
11121
def
betaConv
263
ref
68
ref
11120
ref
appTerm
11122
def
absTerm
11123
def
627
remove
appTerm
11124
def
betaConv
227
ref
68
ref
11123
ref
appTerm
11125
def
absTerm
11126
def
233
remove
appTerm
11127
def
betaConv
225
ref
227
remove
225
ref
263
remove
225
ref
1001
remove
225
remove
2165
remove
11116
remove
assume
sym
6522
remove
assume
sym
deductAntisym
absThm
appThm
absThm
appThm
absThm
appThm
absThm
appThm
6654
remove
eqMp
nil
110
ref
68
ref
11126
ref
appTerm
nil
cons
cons
111
ref
11127
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
175
ref
subst
proveHyp
261
ref
262
ref
11126
remove
nil
cons
cons
265
remove
cons
nil
cons
cons
205
ref
subst
eqMp
eqMp
nil
110
ref
11125
remove
nil
cons
cons
111
ref
11124
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
175
ref
subst
proveHyp
261
ref
262
ref
11123
remove
nil
cons
cons
3024
remove
cons
nil
cons
cons
205
ref
subst
eqMp
eqMp
nil
110
ref
11122
remove
nil
cons
cons
111
ref
11121
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
175
ref
subst
proveHyp
261
ref
262
ref
11120
remove
nil
cons
cons
2495
remove
cons
nil
cons
cons
205
ref
subst
eqMp
eqMp
nil
110
ref
11119
remove
nil
cons
cons
111
ref
11118
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
175
ref
subst
proveHyp
261
ref
262
ref
11117
remove
nil
cons
cons
5973
remove
cons
nil
cons
cons
205
ref
subst
eqMp
eqMp
11128
def
subst
appThm
sym
nil
110
ref
7200
ref
9546
remove
appTerm
nil
cons
11129
def
cons
111
ref
968
ref
9539
remove
appTerm
8751
remove
appTerm
8754
remove
appTerm
9542
remove
appTerm
nil
cons
11130
def
cons
nil
cons
11131
def
cons
nil
cons
cons
11132
def
126
ref
subst
11132
remove
194
ref
subst
nil
7215
remove
9551
remove
cons
nil
cons
cons
11133
def
167
ref
subst
11133
remove
334
ref
subst
9555
remove
9556
remove
9559
remove
9560
remove
9564
remove
9565
remove
857
ref
725
ref
29
ref
725
ref
26
ref
725
ref
542
ref
47
ref
271
ref
47
ref
48
ref
7200
ref
9567
remove
appTerm
absTerm
appTerm
absTerm
11134
def
appTerm
absTerm
11135
def
appTerm
absTerm
11136
def
appTerm
absTerm
11137
def
appTerm
absTerm
11138
def
861
ref
appTerm
betaConv
sym
11137
ref
39
ref
appTerm
betaConv
sym
11136
ref
41
ref
appTerm
betaConv
sym
11135
ref
547
ref
appTerm
betaConv
sym
11134
ref
74
ref
appTerm
betaConv
sym
48
ref
7200
ref
9573
remove
appTerm
absTerm
11139
def
240
ref
appTerm
betaConv
sym
216
ref
7269
remove
appThm
9575
remove
appThm
528
ref
trans
sym
145
ref
eqMp
eqMp
256
ref
257
ref
11139
remove
nil
cons
cons
704
ref
cons
nil
cons
cons
724
ref
subst
proveHyp
eqMp
256
ref
257
ref
11134
remove
nil
cons
cons
260
ref
cons
nil
cons
cons
724
ref
subst
proveHyp
eqMp
207
ref
208
ref
11135
remove
nil
cons
cons
595
ref
cons
nil
cons
cons
724
ref
subst
proveHyp
eqMp
207
ref
208
ref
11136
remove
nil
cons
cons
213
ref
cons
nil
cons
cons
724
ref
subst
proveHyp
eqMp
207
ref
208
ref
11137
remove
nil
cons
cons
210
ref
cons
nil
cons
cons
724
ref
subst
proveHyp
eqMp
207
ref
208
ref
11138
ref
nil
cons
cons
886
ref
cons
nil
cons
cons
724
ref
subst
proveHyp
nil
110
ref
725
ref
11138
remove
appTerm
nil
cons
cons
11131
remove
cons
nil
cons
cons
175
ref
subst
proveHyp
9577
remove
5102
ref
71
ref
725
ref
857
ref
725
ref
29
ref
725
ref
26
ref
725
ref
542
ref
47
ref
271
ref
47
ref
48
ref
7200
ref
9581
ref
appTerm
11140
def
absTerm
11141
def
appTerm
11142
def
absTerm
11143
def
appTerm
11144
def
absTerm
11145
def
appTerm
11146
def
absTerm
11147
def
appTerm
11148
def
absTerm
11149
def
appTerm
11150
def
absTerm
11151
def
appTerm
11152
def
appTerm
11153
def
968
remove
9578
ref
appTerm
3518
ref
appTerm
3521
ref
appTerm
5105
ref
appTerm
11154
def
appTerm
11155
def
absTerm
11156
def
5105
ref
appTerm
11157
def
betaConv
3513
ref
99
ref
11156
ref
appTerm
11158
def
absTerm
11159
def
3521
ref
appTerm
11160
def
betaConv
3515
ref
99
ref
11159
ref
appTerm
11161
def
absTerm
11162
def
3518
ref
appTerm
11163
def
betaConv
9576
ref
99
ref
11162
ref
appTerm
11164
def
absTerm
11165
def
9578
ref
appTerm
11166
def
betaConv
nil
208
ref
857
ref
99
ref
29
ref
99
ref
26
ref
99
ref
542
ref
65
ref
271
ref
65
ref
48
ref
99
ref
9576
ref
99
ref
3515
ref
99
ref
3513
ref
99
ref
5102
ref
71
ref
11140
ref
appTerm
11154
ref
appTerm
11167
def
absTerm
11168
def
appTerm
11169
def
absTerm
11170
def
appTerm
11171
def
absTerm
11172
def
appTerm
11173
def
absTerm
11174
def
appTerm
11175
def
absTerm
11176
def
appTerm
11177
def
absTerm
11178
def
appTerm
11179
def
absTerm
11180
def
appTerm
11181
def
absTerm
11182
def
appTerm
11183
def
absTerm
11184
def
appTerm
11185
def
absTerm
11186
def
nil
cons
cons
11187
def
nil
cons
nil
cons
cons
643
ref
subst
857
ref
nil
139
ref
11185
remove
nil
cons
11188
def
cons
nil
cons
nil
cons
cons
146
ref
subst
nil
208
ref
11184
ref
nil
cons
cons
11189
def
nil
cons
nil
cons
cons
643
ref
subst
29
ref
nil
139
ref
11183
remove
nil
cons
11190
def
cons
nil
cons
nil
cons
cons
146
ref
subst
nil
208
ref
11182
ref
nil
cons
cons
11191
def
nil
cons
nil
cons
cons
643
ref
subst
26
ref
nil
139
ref
11181
remove
nil
cons
11192
def
cons
nil
cons
nil
cons
cons
146
ref
subst
nil
208
ref
11180
ref
nil
cons
cons
11193
def
nil
cons
nil
cons
cons
643
ref
subst
542
ref
nil
139
ref
11179
remove
nil
cons
11194
def
cons
nil
cons
nil
cons
cons
146
ref
subst
nil
257
ref
11178
ref
nil
cons
cons
11195
def
nil
cons
nil
cons
cons
662
ref
subst
271
ref
nil
139
ref
11177
remove
nil
cons
11196
def
cons
nil
cons
nil
cons
cons
146
ref
subst
nil
257
ref
11176
ref
nil
cons
cons
11197
def
nil
cons
nil
cons
cons
662
ref
subst
48
ref
nil
139
ref
11175
remove
nil
cons
11198
def
cons
nil
cons
nil
cons
cons
146
ref
subst
nil
208
ref
11174
ref
nil
cons
cons
11199
def
nil
cons
nil
cons
cons
643
ref
subst
9576
ref
nil
139
ref
11173
remove
nil
cons
11200
def
cons
nil
cons
nil
cons
cons
146
ref
subst
nil
208
ref
11172
ref
nil
cons
cons
11201
def
nil
cons
nil
cons
cons
643
ref
subst
3515
ref
nil
139
ref
11171
remove
nil
cons
11202
def
cons
nil
cons
nil
cons
cons
146
ref
subst
nil
208
ref
11170
ref
nil
cons
cons
11203
def
nil
cons
nil
cons
cons
643
ref
subst
3513
ref
nil
139
ref
11169
remove
nil
cons
11204
def
cons
nil
cons
nil
cons
cons
146
ref
subst
nil
208
ref
11168
ref
nil
cons
cons
11205
def
nil
cons
nil
cons
cons
643
ref
subst
5102
ref
nil
139
ref
11167
remove
nil
cons
cons
nil
cons
nil
cons
cons
146
ref
subst
226
ref
216
ref
991
ref
appThm
9648
remove
appThm
appThm
9650
remove
991
remove
subst
appThm
sym
nil
110
ref
49
ref
978
ref
appTerm
9581
remove
appTerm
nil
cons
11206
def
cons
111
ref
725
ref
863
ref
49
ref
615
ref
9578
ref
appTerm
3518
ref
appTerm
11207
def
866
ref
appTerm
appTerm
974
remove
3521
ref
appTerm
5105
ref
appTerm
appTerm
absTerm
11208
def
appTerm
11209
def
nil
cons
11210
def
cons
nil
cons
11211
def
cons
nil
cons
cons
11212
def
126
ref
subst
11212
remove
194
ref
subst
nil
151
ref
978
remove
nil
cons
11213
def
cons
9661
remove
cons
nil
cons
cons
11214
def
167
ref
subst
11214
remove
334
remove
subst
nil
110
ref
11213
remove
cons
11211
ref
cons
nil
cons
cons
175
ref
subst
nil
208
ref
863
ref
7218
remove
11209
ref
appTerm
11215
def
absTerm
nil
cons
cons
nil
cons
nil
cons
cons
643
ref
subst
863
remove
nil
139
ref
11215
remove
nil
cons
cons
nil
cons
nil
cons
cons
146
ref
subst
nil
7221
remove
11211
ref
cons
nil
cons
cons
11216
def
126
ref
subst
11216
remove
194
ref
subst
7224
remove
nil
7226
remove
11211
ref
cons
nil
cons
cons
11217
def
175
ref
subst
proveHyp
11217
ref
126
ref
subst
11217
remove
194
ref
subst
7232
remove
7233
remove
9668
remove
9669
remove
5205
remove
5206
remove
5209
remove
5210
remove
9681
remove
nil
9682
remove
11211
ref
cons
nil
cons
cons
175
ref
subst
proveHyp
48
ref
71
ref
973
ref
6779
ref
appTerm
appTerm
6853
remove
appTerm
absTerm
11218
def
6777
remove
appTerm
11219
def
betaConv
542
ref
65
ref
48
ref
71
ref
49
ref
7234
remove
appTerm
11220
def
6779
ref
appTerm
appTerm
550
ref
appTerm
absTerm
appTerm
absTerm
11221
def
866
ref
appTerm
11222
def
betaConv
26
ref
99
ref
542
ref
65
ref
48
ref
71
ref
49
ref
7238
remove
appTerm
11223
def
6779
remove
appTerm
appTerm
550
remove
appTerm
absTerm
appTerm
absTerm
appTerm
absTerm
11224
def
39
ref
appTerm
11225
def
betaConv
5872
remove
861
ref
appTerm
11226
def
betaConv
5881
remove
nil
6580
remove
111
ref
11226
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
175
ref
subst
proveHyp
207
ref
5873
remove
886
ref
cons
nil
cons
cons
205
ref
subst
eqMp
eqMp
nil
110
ref
99
ref
11224
ref
appTerm
nil
cons
cons
111
ref
11225
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
175
ref
subst
proveHyp
207
ref
208
ref
11224
remove
nil
cons
cons
210
ref
cons
nil
cons
cons
205
ref
subst
eqMp
eqMp
nil
110
ref
99
ref
11221
ref
appTerm
nil
cons
cons
111
ref
11222
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
175
ref
subst
proveHyp
207
ref
208
ref
11221
remove
nil
cons
cons
6850
ref
cons
nil
cons
cons
205
ref
subst
eqMp
eqMp
nil
110
ref
65
ref
11218
ref
appTerm
nil
cons
cons
111
ref
11219
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
175
ref
subst
proveHyp
256
ref
257
ref
11218
remove
nil
cons
cons
7115
remove
cons
nil
cons
cons
205
ref
subst
eqMp
eqMp
nil
110
ref
71
ref
973
ref
7110
remove
appTerm
appTerm
7360
remove
appTerm
nil
cons
cons
9698
remove
cons
nil
cons
cons
175
ref
subst
proveHyp
226
ref
226
ref
7510
remove
appThm
9699
remove
appThm
9700
remove
trans
appThm
9701
remove
appThm
sym
9714
remove
eqMp
eqMp
nil
9716
remove
111
ref
9717
remove
11209
ref
appTerm
11227
def
nil
cons
cons
nil
cons
11228
def
cons
nil
cons
cons
194
ref
subst
proveHyp
nil
208
ref
9720
ref
9723
remove
11209
ref
appTerm
11229
def
absTerm
nil
cons
cons
nil
cons
nil
cons
cons
643
ref
subst
9720
remove
nil
139
ref
11229
remove
nil
cons
cons
nil
cons
nil
cons
cons
146
ref
subst
nil
9726
remove
11211
ref
cons
nil
cons
cons
11230
def
126
ref
subst
11230
remove
194
ref
subst
9728
remove
nil
9731
remove
11211
remove
cons
nil
cons
cons
11231
def
175
ref
subst
proveHyp
11231
ref
126
ref
subst
11231
remove
194
ref
subst
11208
ref
9721
ref
appTerm
betaConv
sym
29
ref
725
ref
26
ref
725
ref
542
ref
47
ref
271
ref
47
ref
48
ref
5863
ref
9736
remove
appTerm
absTerm
appTerm
absTerm
appTerm
absTerm
appTerm
absTerm
appTerm
absTerm
11232
def
861
ref
appTerm
betaConv
sym
26
ref
725
ref
542
ref
47
ref
271
ref
47
ref
48
ref
11223
remove
9738
remove
appTerm
absTerm
appTerm
absTerm
appTerm
absTerm
appTerm
absTerm
11233
def
39
ref
appTerm
betaConv
sym
542
ref
47
ref
271
ref
47
ref
48
ref
11220
remove
9740
remove
appTerm
absTerm
appTerm
absTerm
appTerm
absTerm
11234
def
866
ref
appTerm
betaConv
sym
271
ref
47
ref
48
ref
973
remove
9742
remove
appTerm
absTerm
11235
def
appTerm
absTerm
11236
def
275
ref
appTerm
betaConv
sym
11235
ref
57
ref
appTerm
betaConv
sym
7509
remove
9747
remove
appThm
528
ref
trans
sym
145
ref
eqMp
eqMp
256
ref
257
ref
11235
remove
nil
cons
cons
293
ref
cons
nil
cons
cons
724
ref
subst
proveHyp
eqMp
256
ref
257
ref
11236
remove
nil
cons
cons
291
ref
cons
nil
cons
cons
724
ref
subst
proveHyp
eqMp
207
ref
208
ref
11234
remove
nil
cons
cons
6850
ref
cons
nil
cons
cons
724
ref
subst
proveHyp
eqMp
207
ref
208
ref
11233
remove
nil
cons
cons
210
ref
cons
nil
cons
cons
724
ref
subst
proveHyp
eqMp
207
ref
208
ref
11232
ref
nil
cons
cons
886
ref
cons
nil
cons
cons
724
ref
subst
proveHyp
nil
110
ref
725
ref
11232
remove
appTerm
nil
cons
cons
111
ref
11207
remove
9721
ref
appTerm
nil
cons
11237
def
cons
nil
cons
cons
nil
cons
cons
175
ref
subst
proveHyp
9752
remove
5102
ref
71
ref
725
ref
29
ref
725
ref
26
ref
725
ref
542
ref
47
ref
271
ref
47
ref
48
ref
9361
ref
absTerm
11238
def
appTerm
11239
def
absTerm
11240
def
appTerm
11241
def
absTerm
11242
def
appTerm
11243
def
absTerm
11244
def
appTerm
11245
def
absTerm
11246
def
appTerm
11247
def
appTerm
11248
def
9362
ref
appTerm
11249
def
absTerm
11250
def
5105
ref
appTerm
11251
def
betaConv
3513
ref
99
ref
11250
ref
appTerm
11252
def
absTerm
11253
def
3521
ref
appTerm
11254
def
betaConv
3515
ref
99
ref
11253
ref
appTerm
11255
def
absTerm
11256
def
3518
ref
appTerm
11257
def
betaConv
9394
remove
nil
110
ref
9395
ref
nil
cons
11258
def
cons
11259
def
111
ref
99
ref
11256
ref
appTerm
nil
cons
11260
def
cons
nil
cons
cons
nil
cons
cons
11261
def
175
ref
subst
proveHyp
11261
ref
126
ref
subst
11261
remove
194
ref
subst
nil
208
ref
11256
remove
nil
cons
cons
11262
def
nil
cons
nil
cons
cons
643
ref
subst
3515
ref
nil
139
ref
11255
remove
nil
cons
11263
def
cons
nil
cons
nil
cons
cons
146
ref
subst
nil
208
ref
11253
remove
nil
cons
cons
11264
def
nil
cons
nil
cons
cons
643
ref
subst
3513
ref
nil
139
ref
11252
remove
nil
cons
11265
def
cons
nil
cons
nil
cons
cons
146
ref
subst
nil
208
ref
11250
remove
nil
cons
cons
11266
def
nil
cons
nil
cons
cons
643
ref
subst
5102
ref
nil
139
ref
11249
remove
nil
cons
cons
nil
cons
nil
cons
cons
146
ref
subst
nil
110
ref
11247
remove
nil
cons
11267
def
cons
11268
def
111
ref
9362
ref
nil
cons
11269
def
cons
nil
cons
11270
def
cons
nil
cons
cons
11271
def
126
ref
subst
11271
remove
194
ref
subst
nil
11259
ref
11270
ref
cons
nil
cons
cons
11272
def
175
ref
subst
nil
11268
remove
111
ref
71
ref
9395
remove
appTerm
9362
remove
appTerm
11273
def
nil
cons
11274
def
cons
nil
cons
11275
def
cons
nil
cons
cons
175
ref
subst
nil
208
ref
29
ref
71
ref
11246
ref
39
ref
appTerm
11276
def
appTerm
11273
ref
appTerm
11277
def
absTerm
11278
def
nil
cons
cons
nil
cons
nil
cons
cons
643
ref
subst
29
ref
nil
139
ref
11277
remove
nil
cons
cons
nil
cons
nil
cons
cons
146
ref
subst
nil
110
ref
11276
ref
nil
cons
11279
def
cons
11275
ref
cons
nil
cons
cons
11280
def
126
ref
subst
11280
remove
194
ref
subst
11276
ref
betaConv
11276
remove
assume
eqMp
nil
110
ref
11245
ref
nil
cons
cons
11275
ref
cons
nil
cons
cons
175
ref
subst
proveHyp
nil
208
ref
26
ref
71
ref
11244
ref
41
ref
appTerm
11281
def
appTerm
11273
ref
appTerm
11282
def
absTerm
nil
cons
cons
nil
cons
nil
cons
cons
643
ref
subst
26
ref
nil
139
ref
11282
remove
nil
cons
cons
nil
cons
nil
cons
cons
146
ref
subst
nil
110
ref
11281
ref
nil
cons
11283
def
cons
11275
ref
cons
nil
cons
cons
11284
def
126
ref
subst
11284
remove
194
ref
subst
11281
ref
betaConv
11281
remove
assume
eqMp
nil
110
ref
11243
ref
nil
cons
cons
11275
ref
cons
nil
cons
cons
175
ref
subst
proveHyp
nil
208
ref
542
ref
71
ref
11242
ref
547
ref
appTerm
11285
def
appTerm
11273
ref
appTerm
11286
def
absTerm
nil
cons
cons
nil
cons
nil
cons
cons
643
ref
subst
542
ref
nil
139
ref
11286
remove
nil
cons
cons
nil
cons
nil
cons
cons
146
ref
subst
nil
110
ref
11285
ref
nil
cons
11287
def
cons
11275
ref
cons
nil
cons
cons
11288
def
126
ref
subst
11288
remove
194
ref
subst
11285
ref
betaConv
11285
remove
assume
eqMp
nil
110
ref
11241
ref
nil
cons
cons
11275
ref
cons
nil
cons
cons
175
ref
subst
proveHyp
nil
257
ref
271
ref
71
ref
11240
ref
275
ref
appTerm
11289
def
appTerm
11273
ref
appTerm
11290
def
absTerm
nil
cons
cons
nil
cons
nil
cons
cons
662
ref
subst
271
ref
nil
139
ref
11290
remove
nil
cons
cons
nil
cons
nil
cons
cons
146
ref
subst
nil
110
ref
11289
ref
nil
cons
11291
def
cons
11275
ref
cons
nil
cons
cons
11292
def
126
ref
subst
11292
remove
194
ref
subst
11289
ref
betaConv
11289
remove
assume
eqMp
nil
110
ref
11239
ref
nil
cons
cons
11275
ref
cons
nil
cons
cons
175
ref
subst
proveHyp
nil
257
ref
48
ref
71
ref
11238
ref
57
ref
appTerm
11293
def
appTerm
11273
ref
appTerm
11294
def
absTerm
nil
cons
cons
nil
cons
nil
cons
cons
662
ref
subst
48
ref
nil
139
ref
11294
remove
nil
cons
cons
nil
cons
nil
cons
cons
146
ref
subst
nil
110
ref
11293
ref
nil
cons
11295
def
cons
11275
ref
cons
nil
cons
cons
11296
def
126
ref
subst
11296
remove
194
ref
subst
11293
ref
betaConv
11293
remove
assume
eqMp
nil
110
ref
9361
remove
nil
cons
11297
def
cons
11298
def
11275
remove
cons
nil
cons
cons
11299
def
175
ref
subst
proveHyp
11299
ref
126
ref
subst
11299
remove
194
ref
subst
11272
ref
126
ref
subst
11272
remove
194
ref
subst
nil
11298
remove
11270
remove
cons
nil
cons
cons
175
ref
subst
9364
remove
5105
ref
appTerm
11300
def
betaConv
9366
remove
3521
ref
appTerm
11301
def
betaConv
9368
remove
3518
ref
appTerm
11302
def
betaConv
9370
remove
57
ref
appTerm
11303
def
betaConv
9372
remove
275
ref
appTerm
11304
def
betaConv
9374
remove
547
ref
appTerm
11305
def
betaConv
9376
remove
41
ref
appTerm
11306
def
betaConv
9378
remove
39
ref
appTerm
11307
def
betaConv
nil
11259
remove
111
ref
11307
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
175
ref
subst
207
ref
9379
remove
210
ref
cons
nil
cons
cons
205
ref
subst
eqMp
eqMp
nil
110
ref
9380
remove
cons
111
ref
11306
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
175
ref
subst
proveHyp
207
ref
9381
remove
213
ref
cons
nil
cons
cons
205
ref
subst
eqMp
eqMp
nil
110
ref
9382
remove
cons
111
ref
11305
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
175
ref
subst
proveHyp
207
ref
9383
remove
595
ref
cons
nil
cons
cons
205
ref
subst
eqMp
eqMp
nil
110
ref
9384
remove
cons
111
ref
11304
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
175
ref
subst
proveHyp
256
ref
9385
remove
291
ref
cons
nil
cons
cons
205
ref
subst
eqMp
eqMp
nil
110
ref
9386
remove
cons
111
ref
11303
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
175
ref
subst
proveHyp
256
ref
9387
remove
293
ref
cons
nil
cons
cons
205
ref
subst
eqMp
eqMp
nil
110
ref
9388
remove
cons
111
ref
11302
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
175
ref
subst
proveHyp
207
ref
9389
remove
3576
ref
cons
nil
cons
cons
205
ref
subst
eqMp
eqMp
nil
110
ref
9390
remove
cons
111
ref
11301
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
175
ref
subst
proveHyp
207
ref
9391
remove
3840
ref
cons
nil
cons
cons
205
ref
subst
eqMp
eqMp
nil
110
ref
9392
remove
cons
111
ref
11300
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
175
ref
subst
proveHyp
207
ref
9393
remove
5226
ref
cons
nil
cons
cons
205
ref
subst
eqMp
eqMp
eqMp
eqMp
nil
151
ref
11258
remove
cons
11308
def
153
ref
11269
remove
cons
nil
cons
11309
def
cons
nil
cons
cons
167
ref
subst
deductAntisym
eqMp
eqMp
nil
151
ref
11297
remove
cons
153
ref
11274
remove
cons
nil
cons
11310
def
cons
nil
cons
cons
167
ref
subst
deductAntisym
eqMp
eqMp
eqMp
nil
151
ref
11295
remove
cons
11310
ref
cons
nil
cons
cons
167
ref
subst
deductAntisym
eqMp
eqMp
absThm
eqMp
nil
110
ref
65
ref
258
ref
71
ref
11238
ref
797
ref
appTerm
appTerm
11273
ref
appTerm
absTerm
appTerm
nil
cons
cons
111
ref
71
ref
11239
remove
appTerm
11273
ref
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
175
ref
subst
proveHyp
256
ref
257
ref
11238
remove
nil
cons
cons
11310
ref
cons
nil
cons
cons
811
ref
subst
eqMp
eqMp
eqMp
nil
151
ref
11291
remove
cons
11310
ref
cons
nil
cons
cons
167
ref
subst
deductAntisym
eqMp
eqMp
absThm
eqMp
nil
110
ref
65
ref
258
ref
71
ref
11240
ref
797
ref
appTerm
appTerm
11273
ref
appTerm
absTerm
appTerm
nil
cons
cons
111
ref
71
ref
11241
remove
appTerm
11273
ref
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
175
ref
subst
proveHyp
256
ref
257
ref
11240
remove
nil
cons
cons
11310
ref
cons
nil
cons
cons
811
ref
subst
eqMp
eqMp
eqMp
nil
151
ref
11287
remove
cons
11310
ref
cons
nil
cons
cons
167
ref
subst
deductAntisym
eqMp
eqMp
absThm
eqMp
nil
110
ref
99
ref
1892
ref
71
ref
11242
ref
1893
ref
appTerm
appTerm
11273
ref
appTerm
absTerm
appTerm
nil
cons
cons
111
ref
71
ref
11243
remove
appTerm
11273
ref
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
175
ref
subst
proveHyp
207
ref
208
ref
11242
remove
nil
cons
cons
11310
ref
cons
nil
cons
cons
811
ref
subst
eqMp
eqMp
eqMp
nil
151
ref
11283
remove
cons
11310
ref
cons
nil
cons
cons
167
ref
subst
deductAntisym
eqMp
eqMp
absThm
eqMp
nil
110
ref
99
ref
1892
ref
71
ref
11244
ref
1893
ref
appTerm
appTerm
11273
ref
appTerm
absTerm
appTerm
nil
cons
cons
111
ref
71
ref
11245
remove
appTerm
11273
ref
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
175
ref
subst
proveHyp
207
ref
208
ref
11244
remove
nil
cons
cons
11310
ref
cons
nil
cons
cons
811
ref
subst
eqMp
eqMp
eqMp
nil
151
ref
11279
remove
cons
11310
ref
cons
nil
cons
cons
167
ref
subst
deductAntisym
eqMp
eqMp
absThm
eqMp
nil
110
ref
99
ref
11278
remove
appTerm
nil
cons
cons
111
ref
11248
remove
11273
remove
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
175
ref
subst
proveHyp
207
ref
208
ref
11246
remove
nil
cons
cons
11310
remove
cons
nil
cons
cons
811
ref
subst
eqMp
eqMp
eqMp
eqMp
nil
151
ref
11267
remove
cons
11309
remove
cons
nil
cons
cons
167
ref
subst
deductAntisym
eqMp
eqMp
absThm
eqMp
eqMp
absThm
eqMp
eqMp
absThm
eqMp
eqMp
nil
11308
remove
153
ref
11260
ref
cons
nil
cons
cons
nil
cons
cons
167
ref
subst
deductAntisym
eqMp
eqMp
nil
110
ref
11260
remove
cons
111
ref
11257
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
175
ref
subst
proveHyp
207
ref
11262
remove
3576
ref
cons
nil
cons
cons
205
ref
subst
eqMp
eqMp
nil
110
ref
11263
remove
cons
111
ref
11254
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
175
ref
subst
proveHyp
207
ref
11264
remove
3840
ref
cons
nil
cons
cons
205
ref
subst
eqMp
eqMp
nil
110
ref
11265
remove
cons
111
ref
11251
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
175
ref
subst
proveHyp
207
ref
11266
remove
5226
ref
cons
nil
cons
cons
205
ref
subst
eqMp
eqMp
11311
def
subst
eqMp
nil
110
ref
11237
remove
cons
111
ref
615
remove
9721
remove
appTerm
3521
ref
appTerm
5105
ref
appTerm
nil
cons
cons
nil
cons
11312
def
cons
nil
cons
cons
194
ref
subst
proveHyp
29
ref
725
ref
26
ref
725
ref
542
ref
47
ref
271
ref
47
ref
48
ref
5863
remove
9830
remove
appTerm
absTerm
appTerm
absTerm
appTerm
absTerm
appTerm
absTerm
appTerm
absTerm
11313
def
866
remove
appTerm
betaConv
sym
26
ref
725
ref
542
ref
47
ref
271
ref
47
ref
48
ref
49
ref
975
remove
appTerm
9833
remove
appTerm
absTerm
11314
def
appTerm
absTerm
11315
def
appTerm
absTerm
11316
def
appTerm
absTerm
11317
def
41
ref
appTerm
betaConv
sym
11316
ref
547
ref
appTerm
betaConv
sym
11315
ref
275
ref
appTerm
betaConv
sym
11314
ref
57
ref
appTerm
betaConv
sym
216
ref
7260
remove
appThm
9839
remove
appThm
528
remove
trans
sym
145
ref
eqMp
eqMp
256
ref
257
ref
11314
remove
nil
cons
cons
293
ref
cons
nil
cons
cons
724
ref
subst
proveHyp
eqMp
256
ref
257
ref
11315
remove
nil
cons
cons
291
ref
cons
nil
cons
cons
724
ref
subst
proveHyp
eqMp
207
ref
208
ref
11316
remove
nil
cons
cons
595
ref
cons
nil
cons
cons
724
ref
subst
proveHyp
eqMp
207
ref
208
ref
11317
remove
nil
cons
cons
213
ref
cons
nil
cons
cons
724
ref
subst
proveHyp
eqMp
207
ref
208
ref
11313
ref
nil
cons
cons
6850
remove
cons
nil
cons
cons
724
ref
subst
proveHyp
nil
110
ref
725
ref
11313
remove
appTerm
nil
cons
cons
11312
remove
cons
nil
cons
cons
175
ref
subst
proveHyp
9840
remove
11311
remove
subst
eqMp
eqMp
eqMp
207
ref
208
ref
11208
remove
nil
cons
cons
9841
remove
cons
nil
cons
cons
724
ref
subst
proveHyp
eqMp
nil
9842
remove
153
ref
11210
ref
cons
nil
cons
11318
def
cons
nil
cons
cons
167
ref
subst
deductAntisym
eqMp
eqMp
eqMp
nil
9844
remove
11318
ref
cons
nil
cons
cons
167
ref
subst
deductAntisym
eqMp
eqMp
absThm
eqMp
nil
110
ref
99
ref
29
ref
9845
remove
11209
ref
appTerm
absTerm
appTerm
nil
cons
cons
11228
remove
cons
nil
cons
cons
175
ref
subst
proveHyp
207
ref
9846
remove
11318
ref
cons
nil
cons
cons
811
ref
subst
eqMp
eqMp
nil
110
ref
9847
remove
11227
remove
appTerm
nil
cons
cons
111
ref
9848
remove
11209
ref
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
175
ref
subst
proveHyp
nil
1340
remove
11210
remove
cons
9849
remove
cons
nil
cons
cons
4271
remove
subst
eqMp
eqMp
proveHyp
proveHyp
proveHyp
proveHyp
proveHyp
proveHyp
proveHyp
proveHyp
eqMp
nil
7261
remove
11318
ref
cons
nil
cons
cons
167
ref
subst
deductAntisym
eqMp
eqMp
eqMp
nil
7262
remove
11318
ref
cons
nil
cons
cons
167
ref
subst
deductAntisym
eqMp
eqMp
absThm
eqMp
nil
110
ref
99
ref
1892
ref
7263
remove
11209
ref
appTerm
absTerm
appTerm
nil
cons
cons
111
ref
7264
remove
11209
remove
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
175
ref
subst
proveHyp
207
ref
7265
remove
11318
ref
cons
nil
cons
cons
811
ref
subst
eqMp
eqMp
proveHyp
proveHyp
eqMp
nil
151
ref
11206
remove
cons
11318
remove
cons
nil
cons
cons
167
ref
subst
deductAntisym
eqMp
eqMp
eqMp
absThm
eqMp
eqMp
absThm
eqMp
eqMp
absThm
eqMp
eqMp
absThm
eqMp
eqMp
absThm
eqMp
eqMp
absThm
eqMp
eqMp
absThm
eqMp
eqMp
absThm
eqMp
eqMp
absThm
eqMp
eqMp
absThm
eqMp
11319
def
nil
110
ref
99
ref
11186
ref
appTerm
11320
def
nil
cons
11321
def
cons
11322
def
111
ref
99
ref
11165
ref
appTerm
nil
cons
11323
def
cons
nil
cons
cons
nil
cons
cons
11324
def
175
ref
subst
proveHyp
11324
ref
126
ref
subst
11324
remove
194
ref
subst
nil
208
ref
11165
remove
nil
cons
cons
11325
def
nil
cons
nil
cons
cons
643
ref
subst
9576
remove
nil
139
ref
11164
remove
nil
cons
11326
def
cons
nil
cons
nil
cons
cons
146
ref
subst
nil
208
ref
11162
remove
nil
cons
cons
11327
def
nil
cons
nil
cons
cons
643
ref
subst
3515
ref
nil
139
ref
11161
remove
nil
cons
11328
def
cons
nil
cons
nil
cons
cons
146
ref
subst
nil
208
ref
11159
remove
nil
cons
cons
11329
def
nil
cons
nil
cons
cons
643
ref
subst
3513
ref
nil
139
ref
11158
remove
nil
cons
11330
def
cons
nil
cons
nil
cons
cons
146
ref
subst
nil
208
ref
11156
remove
nil
cons
cons
11331
def
nil
cons
nil
cons
cons
643
ref
subst
5102
ref
nil
139
ref
11155
remove
nil
cons
cons
nil
cons
nil
cons
cons
146
ref
subst
nil
110
ref
11152
remove
nil
cons
11332
def
cons
11333
def
111
ref
11154
ref
nil
cons
11334
def
cons
nil
cons
11335
def
cons
nil
cons
cons
11336
def
126
ref
subst
11336
remove
194
ref
subst
nil
11322
ref
11335
ref
cons
nil
cons
cons
11337
def
175
ref
subst
nil
11333
remove
111
ref
71
ref
11320
ref
appTerm
11154
remove
appTerm
11338
def
nil
cons
11339
def
cons
nil
cons
11340
def
cons
nil
cons
cons
175
ref
subst
nil
208
ref
857
ref
71
ref
11151
ref
861
ref
appTerm
11341
def
appTerm
11338
ref
appTerm
11342
def
absTerm
nil
cons
cons
nil
cons
nil
cons
cons
643
ref
subst
857
ref
nil
139
ref
11342
remove
nil
cons
cons
nil
cons
nil
cons
cons
146
ref
subst
nil
110
ref
11341
ref
nil
cons
11343
def
cons
11340
ref
cons
nil
cons
cons
11344
def
126
ref
subst
11344
remove
194
ref
subst
11341
ref
betaConv
11341
remove
assume
eqMp
nil
110
ref
11150
ref
nil
cons
cons
11340
ref
cons
nil
cons
cons
175
ref
subst
proveHyp
nil
208
ref
29
ref
71
ref
11149
ref
39
ref
appTerm
11345
def
appTerm
11338
ref
appTerm
11346
def
absTerm
11347
def
nil
cons
cons
nil
cons
nil
cons
cons
643
ref
subst
29
ref
nil
139
ref
11346
remove
nil
cons
cons
nil
cons
nil
cons
cons
146
ref
subst
nil
110
ref
11345
ref
nil
cons
11348
def
cons
11340
ref
cons
nil
cons
cons
11349
def
126
ref
subst
11349
remove
194
ref
subst
11345
ref
betaConv
11345
remove
assume
eqMp
nil
110
ref
11148
ref
nil
cons
cons
11340
ref
cons
nil
cons
cons
175
ref
subst
proveHyp
nil
208
ref
26
ref
71
ref
11147
ref
41
ref
appTerm
11350
def
appTerm
11338
ref
appTerm
11351
def
absTerm
nil
cons
cons
nil
cons
nil
cons
cons
643
ref
subst
26
ref
nil
139
ref
11351
remove
nil
cons
cons
nil
cons
nil
cons
cons
146
ref
subst
nil
110
ref
11350
ref
nil
cons
11352
def
cons
11340
ref
cons
nil
cons
cons
11353
def
126
ref
subst
11353
remove
194
ref
subst
11350
ref
betaConv
11350
remove
assume
eqMp
nil
110
ref
11146
ref
nil
cons
cons
11340
ref
cons
nil
cons
cons
175
ref
subst
proveHyp
nil
208
ref
542
ref
71
ref
11145
ref
547
ref
appTerm
11354
def
appTerm
11338
ref
appTerm
11355
def
absTerm
nil
cons
cons
nil
cons
nil
cons
cons
643
ref
subst
542
ref
nil
139
ref
11355
remove
nil
cons
cons
nil
cons
nil
cons
cons
146
ref
subst
nil
110
ref
11354
ref
nil
cons
11356
def
cons
11340
ref
cons
nil
cons
cons
11357
def
126
ref
subst
11357
remove
194
ref
subst
11354
ref
betaConv
11354
remove
assume
eqMp
nil
110
ref
11144
ref
nil
cons
cons
11340
ref
cons
nil
cons
cons
175
ref
subst
proveHyp
nil
257
ref
271
ref
71
ref
11143
ref
275
ref
appTerm
11358
def
appTerm
11338
ref
appTerm
11359
def
absTerm
nil
cons
cons
nil
cons
nil
cons
cons
662
ref
subst
271
ref
nil
139
ref
11359
remove
nil
cons
cons
nil
cons
nil
cons
cons
146
ref
subst
nil
110
ref
11358
ref
nil
cons
11360
def
cons
11340
ref
cons
nil
cons
cons
11361
def
126
ref
subst
11361
remove
194
ref
subst
11358
ref
betaConv
11358
remove
assume
eqMp
nil
110
ref
11142
ref
nil
cons
cons
11340
ref
cons
nil
cons
cons
175
ref
subst
proveHyp
nil
257
ref
48
ref
71
ref
11141
ref
57
ref
appTerm
11362
def
appTerm
11338
ref
appTerm
11363
def
absTerm
nil
cons
cons
nil
cons
nil
cons
cons
662
ref
subst
48
ref
nil
139
ref
11363
remove
nil
cons
cons
nil
cons
nil
cons
cons
146
ref
subst
nil
110
ref
11362
ref
nil
cons
11364
def
cons
11340
ref
cons
nil
cons
cons
11365
def
126
ref
subst
11365
remove
194
ref
subst
11362
ref
betaConv
11362
remove
assume
eqMp
nil
110
ref
11140
remove
nil
cons
11366
def
cons
11367
def
11340
remove
cons
nil
cons
cons
11368
def
175
ref
subst
proveHyp
11368
ref
126
ref
subst
11368
remove
194
ref
subst
11337
ref
126
ref
subst
11337
remove
194
ref
subst
nil
11367
remove
11335
remove
cons
nil
cons
cons
175
ref
subst
11168
remove
5105
ref
appTerm
11369
def
betaConv
11170
remove
3521
ref
appTerm
11370
def
betaConv
11172
remove
3518
ref
appTerm
11371
def
betaConv
11174
remove
9578
remove
appTerm
11372
def
betaConv
11176
remove
57
ref
appTerm
11373
def
betaConv
11178
remove
275
remove
appTerm
11374
def
betaConv
11180
remove
547
ref
appTerm
11375
def
betaConv
11182
remove
41
ref
appTerm
11376
def
betaConv
11184
remove
39
ref
appTerm
11377
def
betaConv
11186
remove
861
ref
appTerm
11378
def
betaConv
nil
11322
remove
111
ref
11378
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
175
ref
subst
207
ref
11187
remove
886
ref
cons
nil
cons
cons
205
ref
subst
eqMp
eqMp
nil
110
ref
11188
remove
cons
111
ref
11377
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
175
ref
subst
proveHyp
207
ref
11189
remove
210
ref
cons
nil
cons
cons
205
ref
subst
eqMp
eqMp
nil
110
ref
11190
remove
cons
111
ref
11376
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
175
ref
subst
proveHyp
207
ref
11191
remove
213
ref
cons
nil
cons
cons
205
ref
subst
eqMp
eqMp
nil
110
ref
11192
remove
cons
111
ref
11375
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
175
ref
subst
proveHyp
207
ref
11193
remove
595
ref
cons
nil
cons
cons
205
ref
subst
eqMp
eqMp
nil
110
ref
11194
remove
cons
111
ref
11374
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
175
ref
subst
proveHyp
256
ref
11195
remove
291
remove
cons
nil
cons
cons
205
ref
subst
eqMp
eqMp
nil
110
ref
11196
remove
cons
111
ref
11373
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
175
ref
subst
proveHyp
256
ref
11197
remove
293
ref
cons
nil
cons
cons
205
ref
subst
eqMp
eqMp
nil
110
ref
11198
remove
cons
111
ref
11372
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
175
ref
subst
proveHyp
207
ref
11199
remove
9712
ref
cons
nil
cons
cons
205
ref
subst
eqMp
eqMp
nil
110
ref
11200
remove
cons
111
ref
11371
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
175
ref
subst
proveHyp
207
ref
11201
remove
3576
ref
cons
nil
cons
cons
205
ref
subst
eqMp
eqMp
nil
110
ref
11202
remove
cons
111
ref
11370
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
175
ref
subst
proveHyp
207
ref
11203
remove
3840
ref
cons
nil
cons
cons
205
ref
subst
eqMp
eqMp
nil
110
ref
11204
remove
cons
111
ref
11369
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
175
ref
subst
proveHyp
207
ref
11205
remove
5226
ref
cons
nil
cons
cons
205
ref
subst
eqMp
eqMp
eqMp
eqMp
nil
151
ref
11321
remove
cons
11379
def
153
ref
11334
remove
cons
nil
cons
11380
def
cons
nil
cons
cons
167
ref
subst
deductAntisym
eqMp
eqMp
nil
151
ref
11366
remove
cons
153
ref
11339
remove
cons
nil
cons
11381
def
cons
nil
cons
cons
167
ref
subst
deductAntisym
eqMp
eqMp
eqMp
nil
151
ref
11364
remove
cons
11381
ref
cons
nil
cons
cons
167
ref
subst
deductAntisym
eqMp
eqMp
absThm
eqMp
nil
110
ref
65
ref
258
ref
71
ref
11141
ref
797
ref
appTerm
appTerm
11338
ref
appTerm
absTerm
appTerm
nil
cons
cons
111
ref
71
ref
11142
remove
appTerm
11338
ref
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
175
ref
subst
proveHyp
256
ref
257
ref
11141
remove
nil
cons
cons
11381
ref
cons
nil
cons
cons
811
ref
subst
eqMp
eqMp
eqMp
nil
151
ref
11360
remove
cons
11381
ref
cons
nil
cons
cons
167
ref
subst
deductAntisym
eqMp
eqMp
absThm
eqMp
nil
110
ref
65
ref
258
ref
71
ref
11143
ref
797
ref
appTerm
appTerm
11338
ref
appTerm
absTerm
appTerm
nil
cons
cons
111
ref
71
ref
11144
remove
appTerm
11338
ref
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
175
ref
subst
proveHyp
256
ref
257
ref
11143
remove
nil
cons
cons
11381
ref
cons
nil
cons
cons
811
ref
subst
eqMp
eqMp
eqMp
nil
151
ref
11356
remove
cons
11381
ref
cons
nil
cons
cons
167
ref
subst
deductAntisym
eqMp
eqMp
absThm
eqMp
nil
110
ref
99
ref
1892
ref
71
ref
11145
ref
1893
ref
appTerm
appTerm
11338
ref
appTerm
absTerm
appTerm
nil
cons
cons
111
ref
71
ref
11146
remove
appTerm
11338
ref
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
175
ref
subst
proveHyp
207
ref
208
ref
11145
remove
nil
cons
cons
11381
ref
cons
nil
cons
cons
811
ref
subst
eqMp
eqMp
eqMp
nil
151
ref
11352
remove
cons
11381
ref
cons
nil
cons
cons
167
ref
subst
deductAntisym
eqMp
eqMp
absThm
eqMp
nil
110
ref
99
ref
1892
ref
71
ref
11147
ref
1893
ref
appTerm
appTerm
11338
ref
appTerm
absTerm
appTerm
nil
cons
cons
111
ref
71
ref
11148
remove
appTerm
11338
ref
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
175
ref
subst
proveHyp
207
ref
208
ref
11147
remove
nil
cons
cons
11381
ref
cons
nil
cons
cons
811
ref
subst
eqMp
eqMp
eqMp
nil
151
ref
11348
remove
cons
11381
ref
cons
nil
cons
cons
167
ref
subst
deductAntisym
eqMp
eqMp
absThm
eqMp
nil
110
ref
99
ref
11347
remove
appTerm
nil
cons
cons
111
ref
71
ref
11150
remove
appTerm
11338
ref
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
175
ref
subst
proveHyp
207
ref
208
ref
11149
remove
nil
cons
cons
11381
ref
cons
nil
cons
cons
811
ref
subst
eqMp
eqMp
eqMp
nil
151
ref
11343
remove
cons
11381
ref
cons
nil
cons
cons
167
ref
subst
deductAntisym
eqMp
eqMp
absThm
eqMp
nil
110
ref
99
ref
29
ref
71
ref
11151
ref
39
ref
appTerm
appTerm
11338
ref
appTerm
absTerm
appTerm
nil
cons
cons
111
ref
11153
remove
11338
remove
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
175
ref
subst
proveHyp
207
ref
208
ref
11151
remove
nil
cons
cons
11381
remove
cons
nil
cons
cons
811
ref
subst
eqMp
eqMp
eqMp
eqMp
nil
151
ref
11332
remove
cons
11380
remove
cons
nil
cons
cons
167
ref
subst
deductAntisym
eqMp
eqMp
absThm
eqMp
eqMp
absThm
eqMp
eqMp
absThm
eqMp
eqMp
absThm
eqMp
eqMp
nil
11379
remove
153
ref
11323
ref
cons
nil
cons
cons
nil
cons
cons
167
ref
subst
deductAntisym
eqMp
eqMp
nil
110
ref
11323
remove
cons
111
ref
11166
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
175
ref
subst
proveHyp
207
ref
11325
remove
9712
remove
cons
nil
cons
cons
205
ref
subst
eqMp
eqMp
nil
110
ref
11326
remove
cons
111
ref
11163
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
175
ref
subst
proveHyp
207
ref
11327
remove
3576
remove
cons
nil
cons
cons
205
ref
subst
eqMp
eqMp
nil
110
ref
11328
remove
cons
111
ref
11160
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
175
ref
subst
proveHyp
207
ref
11329
remove
3840
remove
cons
nil
cons
cons
205
ref
subst
eqMp
eqMp
nil
110
ref
11330
remove
cons
111
ref
11157
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
175
ref
subst
proveHyp
207
ref
11331
remove
5226
remove
cons
nil
cons
cons
205
ref
subst
eqMp
eqMp
11382
def
subst
eqMp
proveHyp
proveHyp
proveHyp
proveHyp
proveHyp
proveHyp
proveHyp
proveHyp
eqMp
nil
151
ref
11129
remove
cons
153
ref
11130
remove
cons
nil
cons
cons
nil
cons
cons
167
ref
subst
deductAntisym
eqMp
eqMp
eqMp
absThm
eqMp
eqMp
absThm
eqMp
eqMp
absThm
eqMp
eqMp
absThm
eqMp
eqMp
absThm
eqMp
eqMp
absThm
eqMp
eqMp
absThm
eqMp
eqMp
absThm
eqMp
eqMp
absThm
eqMp
11383
def
nil
110
ref
99
ref
11098
ref
appTerm
11384
def
nil
cons
11385
def
cons
11386
def
111
ref
68
ref
11079
ref
appTerm
nil
cons
11387
def
cons
nil
cons
cons
nil
cons
cons
11388
def
175
ref
subst
proveHyp
11388
ref
126
ref
subst
11388
remove
194
ref
subst
nil
262
ref
11079
remove
nil
cons
cons
11389
def
nil
cons
nil
cons
cons
663
ref
subst
9456
remove
nil
139
ref
11078
remove
nil
cons
11390
def
cons
nil
cons
nil
cons
cons
146
ref
subst
nil
262
ref
11076
remove
nil
cons
cons
11391
def
nil
cons
nil
cons
cons
663
ref
subst
69
remove
nil
139
ref
11075
remove
nil
cons
11392
def
cons
nil
cons
nil
cons
cons
146
ref
subst
nil
262
ref
11073
remove
nil
cons
cons
11393
def
nil
cons
nil
cons
cons
663
ref
subst
70
remove
nil
139
ref
11072
remove
nil
cons
11394
def
cons
nil
cons
nil
cons
cons
146
ref
subst
nil
262
ref
11070
remove
nil
cons
cons
11395
def
nil
cons
nil
cons
cons
663
ref
subst
552
remove
nil
139
ref
11069
remove
nil
cons
cons
nil
cons
nil
cons
cons
146
ref
subst
nil
110
ref
11066
remove
nil
cons
11396
def
cons
11397
def
111
ref
11068
ref
nil
cons
11398
def
cons
nil
cons
11399
def
cons
nil
cons
cons
11400
def
126
ref
subst
11400
remove
194
ref
subst
nil
11386
ref
11399
ref
cons
nil
cons
cons
11401
def
175
ref
subst
nil
11397
remove
111
ref
71
ref
11384
ref
appTerm
11068
remove
appTerm
11402
def
nil
cons
11403
def
cons
nil
cons
11404
def
cons
nil
cons
cons
175
ref
subst
nil
208
ref
857
ref
71
ref
11065
ref
861
ref
appTerm
11405
def
appTerm
11402
ref
appTerm
11406
def
absTerm
nil
cons
cons
nil
cons
nil
cons
cons
643
ref
subst
857
ref
nil
139
ref
11406
remove
nil
cons
cons
nil
cons
nil
cons
cons
146
ref
subst
nil
110
ref
11405
ref
nil
cons
11407
def
cons
11404
ref
cons
nil
cons
cons
11408
def
126
ref
subst
11408
remove
194
ref
subst
11405
ref
betaConv
11405
remove
assume
eqMp
nil
110
ref
11064
ref
nil
cons
cons
11404
ref
cons
nil
cons
cons
175
ref
subst
proveHyp
nil
208
ref
29
ref
71
ref
11063
ref
39
ref
appTerm
11409
def
appTerm
11402
ref
appTerm
11410
def
absTerm
11411
def
nil
cons
cons
nil
cons
nil
cons
cons
643
ref
subst
29
ref
nil
139
ref
11410
remove
nil
cons
cons
nil
cons
nil
cons
cons
146
ref
subst
nil
110
ref
11409
ref
nil
cons
11412
def
cons
11404
ref
cons
nil
cons
cons
11413
def
126
ref
subst
11413
remove
194
ref
subst
11409
ref
betaConv
11409
remove
assume
eqMp
nil
110
ref
11062
ref
nil
cons
cons
11404
ref
cons
nil
cons
cons
175
ref
subst
proveHyp
nil
208
ref
26
ref
71
ref
11061
ref
41
ref
appTerm
11414
def
appTerm
11402
ref
appTerm
11415
def
absTerm
nil
cons
cons
nil
cons
nil
cons
cons
643
ref
subst
26
ref
nil
139
ref
11415
remove
nil
cons
cons
nil
cons
nil
cons
cons
146
ref
subst
nil
110
ref
11414
ref
nil
cons
11416
def
cons
11404
ref
cons
nil
cons
cons
11417
def
126
ref
subst
11417
remove
194
ref
subst
11414
ref
betaConv
11414
remove
assume
eqMp
nil
110
ref
11060
ref
nil
cons
cons
11404
ref
cons
nil
cons
cons
175
ref
subst
proveHyp
nil
208
ref
542
ref
71
ref
11059
ref
547
ref
appTerm
11418
def
appTerm
11402
ref
appTerm
11419
def
absTerm
nil
cons
cons
nil
cons
nil
cons
cons
643
ref
subst
542
ref
nil
139
ref
11419
remove
nil
cons
cons
nil
cons
nil
cons
cons
146
ref
subst
nil
110
ref
11418
ref
nil
cons
11420
def
cons
11404
ref
cons
nil
cons
cons
11421
def
126
ref
subst
11421
remove
194
ref
subst
11418
ref
betaConv
11418
remove
assume
eqMp
nil
110
ref
11058
ref
nil
cons
cons
11404
ref
cons
nil
cons
cons
175
ref
subst
proveHyp
nil
257
ref
66
ref
71
ref
11057
ref
74
ref
appTerm
11422
def
appTerm
11402
ref
appTerm
11423
def
absTerm
nil
cons
cons
nil
cons
nil
cons
cons
662
ref
subst
66
remove
nil
139
ref
11423
remove
nil
cons
cons
nil
cons
nil
cons
cons
146
ref
subst
nil
110
ref
11422
ref
nil
cons
11424
def
cons
11404
ref
cons
nil
cons
cons
11425
def
126
ref
subst
11425
remove
194
ref
subst
11422
ref
betaConv
11422
remove
assume
eqMp
nil
110
ref
11056
remove
nil
cons
11426
def
cons
11427
def
11404
remove
cons
nil
cons
cons
11428
def
175
ref
subst
proveHyp
11428
ref
126
ref
subst
11428
remove
194
ref
subst
11401
ref
126
ref
subst
11401
remove
194
ref
subst
nil
11427
remove
11399
remove
cons
nil
cons
cons
175
ref
subst
11082
remove
556
remove
appTerm
11429
def
betaConv
11084
remove
81
remove
appTerm
11430
def
betaConv
11086
remove
76
remove
appTerm
11431
def
betaConv
11088
remove
9458
remove
appTerm
11432
def
betaConv
11090
remove
74
remove
appTerm
11433
def
betaConv
11092
remove
547
remove
appTerm
11434
def
betaConv
11094
remove
41
remove
appTerm
11435
def
betaConv
11096
remove
39
ref
appTerm
11436
def
betaConv
11098
remove
861
remove
appTerm
11437
def
betaConv
nil
11386
remove
111
ref
11437
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
175
ref
subst
207
ref
11099
remove
886
remove
cons
nil
cons
cons
205
ref
subst
eqMp
eqMp
nil
110
ref
11100
remove
cons
111
ref
11436
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
175
ref
subst
proveHyp
207
ref
11101
remove
210
remove
cons
nil
cons
cons
205
ref
subst
eqMp
eqMp
nil
110
ref
11102
remove
cons
111
ref
11435
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
175
ref
subst
proveHyp
207
ref
11103
remove
213
remove
cons
nil
cons
cons
205
ref
subst
eqMp
eqMp
nil
110
ref
11104
remove
cons
111
ref
11434
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
175
ref
subst
proveHyp
207
ref
11105
remove
595
remove
cons
nil
cons
cons
205
ref
subst
eqMp
eqMp
nil
110
ref
11106
remove
cons
111
ref
11433
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
175
ref
subst
proveHyp
256
ref
11107
remove
260
remove
cons
nil
cons
cons
205
ref
subst
eqMp
eqMp
nil
110
ref
11108
remove
cons
111
ref
11432
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
175
ref
subst
proveHyp
261
ref
11109
remove
9969
ref
cons
nil
cons
cons
205
ref
subst
eqMp
eqMp
nil
110
ref
11110
remove
cons
111
ref
11431
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
175
ref
subst
proveHyp
261
ref
11111
remove
824
ref
cons
nil
cons
cons
205
ref
subst
eqMp
eqMp
nil
110
ref
11112
remove
cons
111
ref
11430
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
175
ref
subst
proveHyp
261
ref
11113
remove
828
ref
cons
nil
cons
cons
205
ref
subst
eqMp
eqMp
nil
110
ref
11114
remove
cons
111
ref
11429
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
175
ref
subst
proveHyp
261
ref
11115
remove
2526
ref
cons
nil
cons
cons
205
ref
subst
eqMp
eqMp
eqMp
eqMp
nil
151
ref
11385
remove
cons
11438
def
153
ref
11398
remove
cons
nil
cons
11439
def
cons
nil
cons
cons
167
ref
subst
deductAntisym
eqMp
eqMp
nil
151
ref
11426
remove
cons
153
ref
11403
remove
cons
nil
cons
11440
def
cons
nil
cons
cons
167
ref
subst
deductAntisym
eqMp
eqMp
eqMp
nil
151
ref
11424
remove
cons
11440
ref
cons
nil
cons
cons
167
ref
subst
deductAntisym
eqMp
eqMp
absThm
eqMp
nil
110
ref
65
ref
258
ref
71
ref
11057
ref
797
remove
appTerm
appTerm
11402
ref
appTerm
absTerm
appTerm
nil
cons
cons
111
ref
71
ref
11058
remove
appTerm
11402
ref
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
175
ref
subst
proveHyp
256
ref
257
ref
11057
remove
nil
cons
cons
11440
ref
cons
nil
cons
cons
811
ref
subst
eqMp
eqMp
eqMp
nil
151
ref
11420
remove
cons
11440
ref
cons
nil
cons
cons
167
ref
subst
deductAntisym
eqMp
eqMp
absThm
eqMp
nil
110
ref
99
ref
1892
ref
71
ref
11059
ref
1893
ref
appTerm
appTerm
11402
ref
appTerm
absTerm
appTerm
nil
cons
cons
111
ref
71
ref
11060
remove
appTerm
11402
ref
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
175
ref
subst
proveHyp
207
ref
208
ref
11059
remove
nil
cons
cons
11440
ref
cons
nil
cons
cons
811
ref
subst
eqMp
eqMp
eqMp
nil
151
ref
11416
remove
cons
11440
ref
cons
nil
cons
cons
167
ref
subst
deductAntisym
eqMp
eqMp
absThm
eqMp
nil
110
ref
99
ref
1892
remove
71
ref
11061
ref
1893
remove
appTerm
appTerm
11402
ref
appTerm
absTerm
appTerm
nil
cons
cons
111
ref
71
ref
11062
remove
appTerm
11402
ref
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
175
ref
subst
proveHyp
207
ref
208
ref
11061
remove
nil
cons
cons
11440
ref
cons
nil
cons
cons
811
ref
subst
eqMp
eqMp
eqMp
nil
151
ref
11412
remove
cons
11440
ref
cons
nil
cons
cons
167
ref
subst
deductAntisym
eqMp
eqMp
absThm
eqMp
nil
110
ref
99
ref
11411
remove
appTerm
nil
cons
cons
111
ref
71
ref
11064
remove
appTerm
11402
ref
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
175
ref
subst
proveHyp
207
ref
208
ref
11063
remove
nil
cons
cons
11440
ref
cons
nil
cons
cons
811
ref
subst
eqMp
eqMp
eqMp
nil
151
ref
11407
remove
cons
11440
ref
cons
nil
cons
cons
167
ref
subst
deductAntisym
eqMp
eqMp
absThm
eqMp
nil
110
ref
99
ref
29
ref
71
ref
11065
ref
39
remove
appTerm
appTerm
11402
ref
appTerm
absTerm
appTerm
nil
cons
cons
111
ref
11067
remove
11402
remove
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
175
ref
subst
proveHyp
207
ref
208
ref
11065
remove
nil
cons
cons
11440
remove
cons
nil
cons
cons
811
ref
subst
eqMp
eqMp
eqMp
eqMp
nil
151
ref
11396
remove
cons
11439
remove
cons
nil
cons
cons
167
ref
subst
deductAntisym
eqMp
eqMp
absThm
eqMp
eqMp
absThm
eqMp
eqMp
absThm
eqMp
eqMp
absThm
eqMp
eqMp
nil
11438
remove
153
ref
11387
ref
cons
nil
cons
cons
nil
cons
cons
167
ref
subst
deductAntisym
eqMp
eqMp
nil
110
ref
11387
remove
cons
111
ref
11080
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
175
ref
subst
proveHyp
261
ref
11389
remove
9969
remove
cons
nil
cons
cons
205
ref
subst
eqMp
eqMp
nil
110
ref
11390
remove
cons
111
ref
11077
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
175
ref
subst
proveHyp
261
ref
11391
remove
824
remove
cons
nil
cons
cons
205
ref
subst
eqMp
eqMp
nil
110
ref
11392
remove
cons
111
ref
11074
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
175
ref
subst
proveHyp
261
ref
11393
remove
828
remove
cons
nil
cons
cons
205
ref
subst
eqMp
eqMp
nil
110
ref
11394
remove
cons
111
ref
11071
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
175
ref
subst
proveHyp
261
remove
11395
remove
2526
remove
cons
nil
cons
cons
205
ref
subst
eqMp
eqMp
subst
eqMp
nil
110
ref
11055
remove
cons
111
ref
11020
ref
nil
cons
11441
def
cons
nil
cons
11442
def
cons
nil
cons
cons
194
ref
subst
proveHyp
542
ref
71
ref
11048
remove
appTerm
9976
remove
appTerm
absTerm
11443
def
2457
ref
appTerm
11444
def
betaConv
26
ref
99
ref
542
ref
71
ref
11045
remove
appTerm
9979
remove
appTerm
absTerm
appTerm
absTerm
11445
def
2369
ref
appTerm
11446
def
betaConv
29
ref
99
ref
26
ref
99
ref
542
ref
71
ref
11042
remove
appTerm
9982
remove
appTerm
absTerm
appTerm
absTerm
appTerm
absTerm
11447
def
2322
ref
appTerm
11448
def
betaConv
8594
remove
9401
ref
appTerm
11449
def
betaConv
8596
remove
nil
110
ref
8597
remove
nil
cons
cons
111
ref
11449
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
175
ref
subst
proveHyp
207
ref
8595
remove
9454
ref
cons
nil
cons
cons
205
ref
subst
eqMp
eqMp
nil
110
ref
99
ref
11447
ref
appTerm
nil
cons
cons
111
ref
11448
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
175
ref
subst
proveHyp
207
ref
208
ref
11447
remove
nil
cons
cons
3241
ref
cons
nil
cons
cons
205
ref
subst
eqMp
eqMp
nil
110
ref
99
ref
11445
ref
appTerm
nil
cons
cons
111
ref
11446
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
175
ref
subst
proveHyp
207
ref
208
ref
11445
remove
nil
cons
cons
3240
ref
cons
nil
cons
cons
205
ref
subst
eqMp
eqMp
nil
110
ref
99
ref
11443
ref
appTerm
nil
cons
cons
111
ref
11444
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
175
ref
subst
proveHyp
207
ref
208
ref
11443
remove
nil
cons
cons
2744
ref
cons
nil
cons
cons
205
remove
subst
eqMp
eqMp
nil
110
ref
71
ref
11018
ref
appTerm
11450
def
9987
remove
appTerm
nil
cons
cons
11442
ref
cons
nil
cons
cons
175
ref
subst
proveHyp
226
ref
226
ref
11053
remove
appThm
9995
remove
appThm
9999
remove
trans
appThm
11020
ref
refl
11451
def
appThm
sym
nil
257
ref
493
ref
10002
remove
11020
ref
appTerm
11452
def
absTerm
nil
cons
cons
nil
cons
nil
cons
cons
662
ref
subst
493
remove
nil
139
ref
11452
remove
nil
cons
cons
nil
cons
nil
cons
cons
146
ref
subst
nil
10005
remove
11442
ref
cons
nil
cons
cons
11453
def
126
ref
subst
11453
remove
194
ref
subst
10007
remove
nil
10009
remove
11442
ref
cons
nil
cons
cons
175
ref
subst
proveHyp
3408
remove
nil
3410
remove
111
ref
10010
remove
11020
ref
appTerm
11454
def
nil
cons
11455
def
cons
nil
cons
11456
def
cons
nil
cons
cons
11457
def
175
ref
subst
proveHyp
11457
ref
126
ref
subst
11457
remove
194
ref
subst
nil
257
ref
48
ref
3416
remove
11454
ref
appTerm
11458
def
absTerm
nil
cons
cons
nil
cons
nil
cons
cons
662
ref
subst
48
ref
nil
139
ref
11458
remove
nil
cons
cons
nil
cons
nil
cons
cons
146
ref
subst
nil
3419
remove
11456
ref
cons
nil
cons
cons
11459
def
126
ref
subst
11459
remove
194
ref
subst
3421
remove
nil
3423
remove
11456
ref
cons
nil
cons
cons
11460
def
175
ref
subst
proveHyp
11460
ref
126
ref
subst
11460
remove
194
ref
subst
36
remove
"_32262"
44
ref
var
11461
def
71
ref
49
ref
9996
ref
11461
remove
varTerm
11462
def
appTerm
appTerm
49
ref
3393
ref
11462
ref
appTerm
appTerm
49
ref
3395
ref
11462
ref
appTerm
appTerm
5028
ref
11462
remove
appTerm
appTerm
appTerm
appTerm
appTerm
11020
ref
appTerm
absTerm
11463
def
496
remove
appTerm
11464
def
appTerm
refl
11465
def
11463
ref
309
remove
appTerm
betaConv
appThm
155
remove
11464
remove
betaConv
appThm
11466
def
10024
remove
11020
ref
appTerm
refl
appThm
trans
11463
remove
refl
11467
def
3434
remove
appThm
eqMp
sym
10026
remove
11451
ref
appThm
sym
nil
10029
remove
11442
ref
cons
nil
cons
cons
11468
def
126
ref
subst
11468
remove
194
ref
subst
10032
remove
10033
remove
5060
remove
5061
remove
5064
remove
5065
remove
857
remove
725
ref
29
ref
725
ref
26
ref
725
ref
542
ref
47
ref
271
ref
47
ref
48
ref
7200
remove
10034
remove
appTerm
absTerm
appTerm
absTerm
appTerm
absTerm
appTerm
absTerm
appTerm
absTerm
appTerm
absTerm
11469
def
9401
remove
appTerm
betaConv
sym
29
ref
725
ref
26
ref
725
ref
542
ref
47
ref
271
ref
47
ref
48
ref
11043
remove
10038
remove
appTerm
absTerm
appTerm
absTerm
appTerm
absTerm
appTerm
absTerm
appTerm
absTerm
11470
def
2322
remove
appTerm
betaConv
sym
26
ref
725
ref
542
ref
47
ref
271
ref
47
ref
48
ref
11046
remove
10040
remove
appTerm
absTerm
appTerm
absTerm
appTerm
absTerm
appTerm
absTerm
11471
def
2369
remove
appTerm
betaConv
sym
542
ref
47
ref
271
ref
47
ref
48
ref
11049
remove
10042
remove
appTerm
absTerm
appTerm
absTerm
appTerm
absTerm
11472
def
2457
remove
appTerm
betaConv
sym
271
ref
47
remove
48
ref
11051
ref
10044
remove
appTerm
absTerm
appTerm
absTerm
11473
def
240
remove
appTerm
betaConv
sym
48
ref
11051
ref
10049
remove
appTerm
absTerm
11474
def
57
remove
appTerm
betaConv
sym
nil
10051
remove
10053
remove
3127
ref
11038
ref
cons
nil
cons
cons
cons
nil
cons
cons
3479
ref
subst
nil
5085
remove
3469
remove
3127
ref
11051
remove
10047
remove
appTerm
11475
def
nil
cons
cons
nil
cons
cons
cons
nil
cons
cons
3479
ref
subst
nil
5087
remove
5088
remove
3127
remove
49
ref
11475
remove
appTerm
3461
remove
appTerm
nil
cons
cons
nil
cons
cons
cons
nil
cons
cons
3479
remove
subst
trans
trans
216
ref
216
ref
216
ref
11054
remove
10055
remove
appThm
10056
remove
trans
appThm
3480
remove
appThm
appThm
3482
remove
appThm
appThm
5089
remove
appThm
trans
sym
10065
remove
eqMp
eqMp
256
ref
257
ref
11474
remove
nil
cons
cons
293
remove
cons
nil
cons
cons
724
ref
subst
proveHyp
eqMp
256
ref
257
ref
11473
remove
nil
cons
cons
704
remove
cons
nil
cons
cons
724
ref
subst
proveHyp
eqMp
207
ref
208
ref
11472
remove
nil
cons
cons
2744
remove
cons
nil
cons
cons
724
ref
subst
proveHyp
eqMp
207
ref
208
ref
11471
remove
nil
cons
cons
3240
remove
cons
nil
cons
cons
724
ref
subst
proveHyp
eqMp
207
ref
208
ref
11470
remove
nil
cons
cons
3241
remove
cons
nil
cons
cons
724
ref
subst
proveHyp
eqMp
207
remove
208
ref
11469
ref
nil
cons
cons
9454
remove
cons
nil
cons
cons
724
remove
subst
proveHyp
nil
110
ref
725
remove
11469
remove
appTerm
nil
cons
cons
11442
remove
cons
nil
cons
cons
175
ref
subst
proveHyp
10066
remove
11382
remove
subst
eqMp
proveHyp
proveHyp
proveHyp
proveHyp
proveHyp
proveHyp
eqMp
nil
10067
remove
153
ref
11441
ref
cons
nil
cons
11476
def
cons
nil
cons
cons
167
ref
subst
deductAntisym
eqMp
eqMp
eqMp
eqMp
nil
3916
remove
153
ref
11455
ref
cons
nil
cons
11477
def
cons
nil
cons
cons
167
ref
subst
deductAntisym
eqMp
eqMp
eqMp
nil
3918
remove
11477
ref
cons
nil
cons
cons
167
ref
subst
deductAntisym
eqMp
eqMp
absThm
eqMp
nil
110
ref
65
ref
258
ref
3919
remove
11454
ref
appTerm
absTerm
appTerm
nil
cons
cons
111
ref
3920
remove
11454
remove
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
175
ref
subst
proveHyp
256
ref
3921
remove
11477
ref
cons
nil
cons
cons
811
ref
subst
eqMp
nil
3923
remove
11456
remove
cons
nil
cons
cons
11478
def
126
remove
subst
11478
remove
194
ref
subst
11465
remove
"_32260"
44
remove
var
11479
def
71
ref
49
ref
9996
remove
11479
remove
varTerm
11480
def
appTerm
appTerm
49
ref
3393
remove
11480
ref
appTerm
appTerm
49
remove
3395
remove
11480
ref
appTerm
appTerm
5028
remove
11480
remove
appTerm
appTerm
appTerm
appTerm
appTerm
11020
ref
appTerm
absTerm
220
remove
appTerm
betaConv
appThm
11466
remove
10073
remove
11020
ref
appTerm
refl
appThm
trans
11467
remove
3929
remove
appThm
eqMp
sym
10074
remove
11451
ref
appThm
nil
139
ref
11441
remove
cons
nil
cons
nil
cons
cons
381
remove
subst
trans
sym
145
remove
eqMp
eqMp
eqMp
nil
3933
ref
11477
ref
cons
nil
cons
cons
167
ref
subst
deductAntisym
eqMp
nil
3933
remove
3934
remove
1335
remove
11455
remove
cons
nil
cons
cons
cons
nil
cons
cons
1350
remove
subst
proveHyp
proveHyp
eqMp
nil
3935
remove
11477
remove
cons
nil
cons
cons
167
ref
subst
deductAntisym
eqMp
eqMp
eqMp
eqMp
nil
10075
remove
11476
ref
cons
nil
cons
cons
167
ref
subst
deductAntisym
eqMp
eqMp
absThm
eqMp
nil
110
ref
65
ref
258
remove
10076
remove
11020
ref
appTerm
absTerm
appTerm
nil
cons
cons
111
ref
10077
remove
11020
remove
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
175
remove
subst
proveHyp
256
remove
10078
remove
11476
remove
cons
nil
cons
cons
811
remove
subst
eqMp
eqMp
eqMp
eqMp
eqMp
nil
151
remove
11038
remove
cons
153
remove
11039
remove
cons
nil
cons
cons
nil
cons
cons
167
remove
subst
deductAntisym
eqMp
nil
110
remove
11450
remove
11021
ref
appTerm
nil
cons
cons
111
remove
71
ref
11021
remove
appTerm
11018
ref
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
194
remove
subst
proveHyp
226
ref
216
remove
10079
remove
11128
remove
subst
appThm
11451
remove
appThm
appThm
11018
remove
refl
appThm
sym
10080
remove
9154
remove
subst
eqMp
eqMp
eqMp
eqMp
absThm
eqMp
eqMp
absThm
eqMp
eqMp
absThm
eqMp
eqMp
absThm
eqMp
eqMp
absThm
eqMp
eqMp
absThm
eqMp
eqMp
absThm
eqMp
eqMp
absThm
eqMp
nil
68
ref
11037
remove
appTerm
thm
nil
262
remove
1943
ref
99
ref
29
ref
99
ref
26
ref
99
ref
542
ref
65
ref
271
ref
65
remove
48
ref
99
ref
3515
ref
99
ref
3513
ref
99
remove
5102
ref
71
ref
7270
remove
5108
remove
appTerm
appTerm
1945
remove
3518
remove
appTerm
3521
remove
appTerm
5105
remove
appTerm
appTerm
11481
def
absTerm
11482
def
appTerm
11483
def
absTerm
11484
def
appTerm
11485
def
absTerm
11486
def
appTerm
11487
def
absTerm
11488
def
appTerm
11489
def
absTerm
11490
def
appTerm
11491
def
absTerm
11492
def
appTerm
11493
def
absTerm
11494
def
appTerm
11495
def
absTerm
11496
def
appTerm
11497
def
absTerm
11498
def
nil
cons
cons
nil
cons
nil
cons
cons
663
remove
subst
1943
remove
nil
139
ref
11497
remove
nil
cons
cons
nil
cons
nil
cons
cons
146
ref
subst
nil
208
ref
11496
remove
nil
cons
cons
nil
cons
nil
cons
cons
643
ref
subst
29
remove
nil
139
ref
11495
remove
nil
cons
cons
nil
cons
nil
cons
cons
146
ref
subst
nil
208
ref
11494
remove
nil
cons
cons
nil
cons
nil
cons
cons
643
ref
subst
26
remove
nil
139
ref
11493
remove
nil
cons
cons
nil
cons
nil
cons
cons
146
ref
subst
nil
208
ref
11492
remove
nil
cons
cons
nil
cons
nil
cons
cons
643
ref
subst
542
remove
nil
139
ref
11491
remove
nil
cons
cons
nil
cons
nil
cons
cons
146
ref
subst
nil
257
ref
11490
remove
nil
cons
cons
nil
cons
nil
cons
cons
662
ref
subst
271
remove
nil
139
ref
11489
remove
nil
cons
cons
nil
cons
nil
cons
cons
146
ref
subst
nil
257
remove
11488
remove
nil
cons
cons
nil
cons
nil
cons
cons
662
remove
subst
48
remove
nil
139
ref
11487
remove
nil
cons
cons
nil
cons
nil
cons
cons
146
ref
subst
nil
208
ref
11486
remove
nil
cons
cons
nil
cons
nil
cons
cons
643
ref
subst
3515
remove
nil
139
ref
11485
remove
nil
cons
cons
nil
cons
nil
cons
cons
146
ref
subst
nil
208
ref
11484
remove
nil
cons
cons
nil
cons
nil
cons
cons
643
ref
subst
3513
remove
nil
139
ref
11483
remove
nil
cons
cons
nil
cons
nil
cons
cons
146
ref
subst
nil
208
remove
11482
remove
nil
cons
cons
nil
cons
nil
cons
cons
643
remove
subst
5102
remove
nil
139
ref
11481
remove
nil
cons
cons
nil
cons
nil
cons
cons
146
ref
subst
226
remove
7281
remove
5169
remove
appThm
appThm
1953
remove
8095
remove
appThm
8096
remove
appThm
9323
remove
appThm
appThm
sym
1957
remove
5248
remove
subst
eqMp
eqMp
absThm
eqMp
eqMp
absThm
eqMp
eqMp
absThm
eqMp
eqMp
absThm
eqMp
eqMp
absThm
eqMp
eqMp
absThm
eqMp
eqMp
absThm
eqMp
eqMp
absThm
eqMp
eqMp
absThm
eqMp
nil
68
remove
11498
remove
appTerm
thm
5249
remove
nil
5250
remove
thm
9914
remove
nil
9915
remove
thm
10707
remove
nil
10708
remove
thm
10917
remove
nil
10918
remove
thm
11383
remove
nil
11384
remove
thm
nil
178
remove
22
ref
64
ref
1
ref
8
ref
4
ref
cons
opType
constTerm
3036
ref
71
ref
3054
remove
appTerm
3062
remove
appTerm
11499
def
absTerm
11500
def
appTerm
11501
def
absTerm
11502
def
nil
cons
cons
nil
cons
nil
cons
cons
1982
remove
subst
22
remove
nil
139
ref
11501
remove
nil
cons
cons
nil
cons
nil
cons
cons
146
ref
subst
nil
"P"
8
remove
var
11500
remove
nil
cons
cons
nil
cons
nil
cons
cons
"A"
15
remove
cons
nil
cons
384
ref
cons
642
ref
subst
subst
3036
remove
nil
139
ref
11499
remove
nil
cons
cons
nil
cons
nil
cons
cons
146
ref
subst
3971
remove
eqMp
absThm
eqMp
eqMp
absThm
eqMp
nil
108
remove
11502
remove
appTerm
thm
9850
remove
nil
9851
remove
thm
10643
remove
nil
10644
remove
thm
10577
remove
nil
10578
remove
thm
11319
remove
nil
11320
remove
thm
nil
592
remove
539
ref
64
remove
1
remove
530
ref
4
remove
cons
opType
constTerm
7908
ref
71
remove
7928
remove
appTerm
7937
remove
appTerm
11503
def
absTerm
11504
def
appTerm
11505
def
absTerm
11506
def
nil
cons
cons
nil
cons
nil
cons
cons
2815
remove
subst
539
remove
nil
139
ref
11505
remove
nil
cons
cons
nil
cons
nil
cons
cons
146
ref
subst
nil
"P"
530
remove
var
11504
remove
nil
cons
cons
nil
cons
nil
cons
cons
"A"
534
remove
cons
nil
cons
384
remove
cons
642
remove
subst
subst
7908
remove
nil
139
remove
11503
remove
nil
cons
cons
nil
cons
nil
cons
cons
146
remove
subst
8073
remove
eqMp
absThm
eqMp
eqMp
absThm
eqMp
nil
588
remove
11506
remove
appTerm
thm