reference documentation

Article pair-thm.art

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

200760 bytes
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version
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"P"
"->"
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cons
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constTerm
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0
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6
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2
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nil
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19
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appTerm
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4
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cons
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constTerm
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22
ref
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appTerm
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appTerm
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22
ref
appTerm
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absTerm
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nil
cons
cons
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nil
cons
nil
cons
cons
"A"
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cons
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nil
cons
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nil
nil
cons
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cons
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12
ref
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7
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8
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38
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cons
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constTerm
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var
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varTerm
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appTerm
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def
appTerm
refl
"p"
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var
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12
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0
ref
41
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42
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nil
cons
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constTerm
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2
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var
49
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7
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50
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51
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appTerm
absTerm
52
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45
ref
appTerm
betaConv
53
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appThm
nil
12
ref
0
ref
42
ref
0
ref
42
ref
8
ref
cons
opType
54
def
nil
cons
cons
opType
constTerm
55
def
43
ref
appTerm
52
remove
appTerm
axiom
56
def
45
ref
refl
57
def
appThm
58
def
eqMp
sym
59
def
subst
60
def
subst
11
ref
nil
"t"
7
ref
var
61
def
30
ref
nil
cons
62
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cons
nil
cons
nil
cons
cons
39
ref
61
ref
varTerm
63
def
appTerm
64
def
50
ref
appTerm
65
def
assume
sym
nil
50
ref
axiom
66
def
eqMp
63
ref
assume
66
ref
deductAntisym
deductAntisym
67
def
subst
11
ref
"Data.Bool.?"
const
68
def
42
ref
constTerm
69
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"a"
2
ref
var
70
def
68
ref
0
ref
0
ref
3
ref
8
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cons
opType
71
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8
ref
cons
opType
72
def
constTerm
73
def
"b"
3
ref
var
74
def
14
ref
22
ref
appTerm
75
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17
ref
70
ref
varTerm
76
def
appTerm
77
def
74
ref
varTerm
78
def
appTerm
79
def
appTerm
80
def
absTerm
81
def
appTerm
82
def
absTerm
83
def
appTerm
84
def
absTerm
85
def
22
ref
appTerm
86
def
betaConv
nil
40
ref
0
ref
9
ref
8
ref
cons
opType
87
def
constTerm
88
def
85
ref
appTerm
89
def
axiom
nil
"p"
7
ref
var
90
def
89
remove
nil
cons
cons
"q"
7
ref
var
91
def
86
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
39
ref
"Data.Bool.==>"
const
38
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constTerm
92
def
90
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varTerm
93
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appTerm
94
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91
ref
varTerm
95
def
appTerm
96
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appTerm
97
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refl
90
ref
91
ref
39
ref
"Data.Bool./\\"
const
38
ref
constTerm
98
def
93
ref
appTerm
99
def
95
ref
appTerm
100
def
appTerm
101
def
93
ref
appTerm
absTerm
102
def
absTerm
103
def
93
ref
appTerm
betaConv
95
ref
refl
104
def
appThm
102
remove
95
ref
appTerm
betaConv
trans
appThm
nil
12
ref
0
ref
38
ref
0
ref
38
ref
8
ref
cons
opType
105
def
nil
cons
cons
opType
constTerm
106
def
92
ref
appTerm
103
remove
appTerm
axiom
93
ref
refl
107
def
appThm
104
ref
appThm
eqMp
108
def
sym
109
def
101
remove
refl
91
ref
12
ref
0
ref
105
ref
0
ref
105
remove
8
ref
cons
opType
nil
cons
cons
opType
constTerm
110
def
"f"
38
ref
var
111
def
111
ref
varTerm
112
def
93
ref
appTerm
95
ref
appTerm
absTerm
113
def
appTerm
111
ref
112
ref
50
ref
appTerm
50
ref
appTerm
absTerm
114
def
appTerm
absTerm
115
def
95
ref
appTerm
betaConv
appThm
12
ref
0
ref
37
ref
0
ref
37
ref
8
ref
cons
opType
116
def
nil
cons
cons
opType
constTerm
117
def
99
ref
appTerm
refl
90
ref
115
remove
absTerm
118
def
93
ref
appTerm
betaConv
appThm
nil
106
ref
98
ref
appTerm
118
ref
appTerm
axiom
119
def
107
remove
appThm
eqMp
104
ref
appThm
eqMp
120
def
sym
111
ref
112
ref
refl
nil
61
ref
93
ref
nil
cons
121
def
cons
nil
cons
nil
cons
cons
122
def
67
ref
subst
93
ref
assume
123
def
eqMp
appThm
nil
61
ref
95
ref
nil
cons
124
def
cons
nil
cons
nil
cons
cons
125
def
67
ref
subst
95
ref
assume
126
def
eqMp
appThm
absThm
eqMp
127
def
nil
"P"
7
ref
var
128
def
121
ref
cons
129
def
"Q"
7
ref
var
130
def
124
ref
cons
nil
cons
131
def
cons
nil
cons
cons
39
ref
refl
132
def
111
ref
112
remove
128
ref
varTerm
133
def
appTerm
134
def
130
ref
varTerm
135
def
appTerm
absTerm
136
def
90
ref
91
ref
93
ref
absTerm
absTerm
137
def
appTerm
betaConv
137
ref
133
ref
appTerm
betaConv
135
ref
refl
138
def
appThm
91
ref
133
ref
absTerm
135
ref
appTerm
betaConv
trans
trans
appThm
114
ref
137
ref
appTerm
betaConv
137
ref
50
ref
appTerm
betaConv
50
ref
refl
139
def
appThm
91
ref
50
ref
absTerm
50
ref
appTerm
betaConv
trans
trans
appThm
39
ref
98
ref
133
ref
appTerm
140
def
135
ref
appTerm
141
def
appTerm
refl
91
ref
110
remove
111
remove
134
remove
95
ref
appTerm
absTerm
appTerm
114
ref
appTerm
absTerm
135
ref
appTerm
betaConv
appThm
117
ref
140
remove
appTerm
refl
118
remove
133
ref
appTerm
betaConv
appThm
119
remove
133
ref
refl
142
def
appThm
eqMp
138
ref
appThm
eqMp
141
remove
assume
eqMp
143
def
137
remove
refl
appThm
eqMp
sym
66
ref
eqMp
144
def
subst
145
def
deductAntisym
eqMp
108
remove
96
ref
assume
eqMp
sym
123
ref
eqMp
132
ref
113
remove
90
ref
91
ref
95
ref
absTerm
146
def
absTerm
147
def
appTerm
betaConv
147
ref
93
ref
appTerm
betaConv
104
ref
appThm
146
ref
95
ref
appTerm
betaConv
trans
trans
appThm
114
remove
147
ref
appTerm
betaConv
147
ref
50
ref
appTerm
betaConv
139
ref
appThm
146
ref
50
ref
appTerm
betaConv
trans
trans
148
def
appThm
120
remove
100
remove
assume
eqMp
147
ref
refl
149
def
appThm
eqMp
sym
66
ref
eqMp
150
def
proveHyp
151
def
deductAntisym
152
def
subst
proveHyp
34
ref
10
ref
85
remove
nil
cons
cons
11
ref
22
ref
nil
cons
153
def
cons
nil
cons
154
def
cons
nil
cons
cons
nil
90
ref
46
ref
nil
cons
155
def
cons
91
ref
45
ref
49
ref
varTerm
156
def
appTerm
157
def
nil
cons
158
def
cons
nil
cons
cons
nil
cons
cons
159
def
109
ref
subst
159
remove
150
remove
127
remove
deductAntisym
160
def
subst
39
ref
157
ref
appTerm
refl
51
remove
156
ref
appTerm
betaConv
appThm
53
remove
58
remove
46
remove
assume
eqMp
eqMp
156
ref
refl
161
def
appThm
eqMp
sym
66
ref
eqMp
eqMp
nil
128
ref
155
remove
cons
130
ref
158
ref
cons
nil
cons
cons
nil
cons
cons
144
ref
subst
deductAntisym
eqMp
162
def
subst
eqMp
eqMp
nil
90
ref
84
ref
nil
cons
cons
91
ref
62
ref
cons
nil
cons
163
def
cons
nil
cons
cons
152
ref
subst
proveHyp
nil
44
ref
70
ref
92
ref
83
ref
76
ref
appTerm
164
def
appTerm
30
ref
appTerm
165
def
absTerm
nil
cons
cons
nil
cons
nil
cons
cons
59
ref
subst
70
ref
nil
61
ref
165
remove
nil
cons
cons
nil
cons
nil
cons
cons
67
ref
subst
nil
90
ref
164
ref
nil
cons
166
def
cons
163
ref
cons
nil
cons
cons
167
def
109
ref
subst
167
remove
160
ref
subst
164
ref
betaConv
164
remove
assume
eqMp
nil
90
ref
82
ref
nil
cons
cons
163
ref
cons
nil
cons
cons
152
ref
subst
proveHyp
nil
"P"
71
ref
var
168
def
74
ref
92
ref
81
ref
78
ref
appTerm
169
def
appTerm
30
ref
appTerm
170
def
absTerm
nil
cons
cons
nil
cons
nil
cons
cons
"A"
4
ref
cons
171
def
nil
cons
172
def
35
ref
cons
173
def
59
ref
subst
174
def
subst
74
ref
nil
61
ref
170
remove
nil
cons
cons
nil
cons
nil
cons
cons
67
ref
subst
nil
90
ref
169
ref
nil
cons
175
def
cons
163
ref
cons
nil
cons
cons
176
def
109
ref
subst
176
remove
160
ref
subst
169
ref
betaConv
169
remove
assume
eqMp
nil
90
ref
80
ref
nil
cons
177
def
cons
163
remove
cons
nil
cons
cons
178
def
152
ref
subst
proveHyp
178
ref
109
ref
subst
178
remove
160
ref
subst
39
ref
"_1259"
6
ref
var
179
def
14
ref
17
ref
21
ref
179
remove
varTerm
180
def
appTerm
appTerm
26
ref
180
ref
appTerm
appTerm
appTerm
180
remove
appTerm
absTerm
181
def
22
ref
appTerm
182
def
appTerm
refl
181
remove
79
ref
appTerm
betaConv
appThm
132
ref
182
remove
betaConv
appThm
14
ref
17
ref
21
ref
79
ref
appTerm
183
def
appTerm
26
ref
79
ref
appTerm
184
def
appTerm
appTerm
79
ref
appTerm
refl
appThm
trans
31
ref
refl
80
remove
assume
appThm
eqMp
sym
17
ref
refl
74
ref
12
ref
0
ref
2
ref
41
ref
nil
cons
185
def
cons
opType
constTerm
186
def
183
remove
appTerm
76
ref
appTerm
absTerm
187
def
78
ref
appTerm
188
def
betaConv
70
ref
40
ref
72
ref
constTerm
189
def
187
ref
appTerm
190
def
absTerm
191
def
76
ref
appTerm
192
def
betaConv
nil
43
ref
191
ref
appTerm
193
def
axiom
nil
90
ref
193
remove
nil
cons
cons
91
ref
192
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
152
ref
subst
proveHyp
"A"
19
ref
cons
194
def
nil
cons
195
def
44
ref
191
remove
nil
cons
cons
49
ref
76
ref
nil
cons
cons
nil
cons
196
def
cons
nil
cons
cons
162
ref
subst
eqMp
eqMp
nil
90
ref
190
remove
nil
cons
cons
91
ref
188
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
152
ref
subst
proveHyp
172
ref
168
ref
187
remove
nil
cons
cons
"x"
3
ref
var
197
def
78
ref
nil
cons
198
def
cons
nil
cons
199
def
cons
nil
cons
cons
162
ref
subst
eqMp
eqMp
200
def
appThm
74
ref
12
ref
0
ref
3
ref
71
ref
nil
cons
201
def
cons
opType
constTerm
202
def
184
remove
appTerm
78
ref
appTerm
absTerm
203
def
78
ref
appTerm
204
def
betaConv
70
ref
189
ref
203
ref
appTerm
205
def
absTerm
206
def
76
ref
appTerm
207
def
betaConv
nil
43
ref
206
ref
appTerm
208
def
axiom
nil
90
ref
208
remove
nil
cons
cons
91
ref
207
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
152
ref
subst
proveHyp
195
ref
44
ref
206
remove
nil
cons
cons
196
ref
cons
nil
cons
cons
162
ref
subst
eqMp
eqMp
nil
90
ref
205
remove
nil
cons
cons
91
ref
204
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
152
ref
subst
proveHyp
172
ref
168
ref
203
remove
nil
cons
cons
199
ref
cons
nil
cons
cons
162
ref
subst
eqMp
eqMp
209
def
appThm
eqMp
eqMp
nil
128
ref
177
remove
cons
130
ref
62
ref
cons
nil
cons
210
def
cons
nil
cons
cons
144
ref
subst
deductAntisym
eqMp
eqMp
eqMp
nil
128
ref
175
remove
cons
210
ref
cons
nil
cons
cons
144
ref
subst
deductAntisym
eqMp
eqMp
absThm
eqMp
nil
90
ref
189
ref
197
ref
92
ref
81
ref
197
ref
varTerm
211
def
appTerm
appTerm
30
ref
appTerm
absTerm
appTerm
nil
cons
cons
91
ref
92
ref
82
remove
appTerm
30
ref
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
152
ref
subst
proveHyp
172
ref
168
ref
81
remove
nil
cons
cons
210
ref
cons
nil
cons
cons
nil
90
ref
43
ref
49
ref
92
ref
157
ref
appTerm
212
def
135
ref
appTerm
213
def
absTerm
214
def
appTerm
215
def
nil
cons
216
def
cons
217
def
91
ref
92
ref
69
ref
45
ref
appTerm
218
def
appTerm
219
def
135
ref
appTerm
nil
cons
220
def
cons
nil
cons
cons
nil
cons
cons
221
def
109
ref
subst
221
remove
160
ref
subst
nil
90
ref
218
ref
nil
cons
222
def
cons
223
def
91
ref
135
ref
nil
cons
224
def
cons
nil
cons
225
def
cons
nil
cons
cons
226
def
109
ref
subst
226
remove
160
ref
subst
nil
217
ref
225
ref
cons
nil
cons
cons
227
def
152
ref
subst
91
ref
92
ref
43
ref
49
ref
212
remove
95
ref
appTerm
absTerm
appTerm
appTerm
95
ref
appTerm
absTerm
228
def
135
ref
appTerm
229
def
betaConv
nil
223
remove
91
ref
40
ref
116
remove
constTerm
230
def
228
ref
appTerm
231
def
nil
cons
232
def
cons
nil
cons
cons
nil
cons
cons
233
def
152
ref
subst
39
ref
218
remove
appTerm
234
def
refl
47
ref
230
ref
91
ref
92
ref
43
ref
49
ref
92
ref
48
ref
156
ref
appTerm
235
def
appTerm
236
def
95
ref
appTerm
absTerm
appTerm
appTerm
95
ref
appTerm
absTerm
appTerm
absTerm
237
def
45
ref
appTerm
betaConv
appThm
nil
55
remove
69
ref
appTerm
237
remove
appTerm
axiom
57
remove
appThm
eqMp
238
def
nil
90
ref
234
remove
231
ref
appTerm
nil
cons
cons
91
ref
219
remove
231
remove
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
152
ref
subst
proveHyp
233
remove
nil
90
ref
39
ref
93
ref
appTerm
239
def
95
ref
appTerm
240
def
nil
cons
241
def
cons
242
def
91
ref
96
ref
nil
cons
243
def
cons
nil
cons
244
def
cons
nil
cons
cons
245
def
109
ref
subst
245
remove
160
ref
subst
109
ref
160
ref
240
ref
assume
246
def
123
remove
eqMp
eqMp
145
ref
deductAntisym
eqMp
247
def
eqMp
nil
128
ref
241
remove
cons
248
def
130
ref
243
ref
cons
nil
cons
249
def
cons
nil
cons
cons
144
ref
subst
deductAntisym
eqMp
250
def
subst
eqMp
eqMp
nil
90
ref
232
remove
cons
91
ref
229
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
152
ref
subst
proveHyp
"A"
8
ref
cons
nil
cons
251
def
"P"
37
ref
var
252
def
228
remove
nil
cons
cons
"x"
7
ref
var
253
def
224
ref
cons
nil
cons
cons
nil
cons
cons
162
ref
subst
eqMp
eqMp
eqMp
eqMp
nil
128
ref
222
remove
cons
130
ref
224
remove
cons
nil
cons
254
def
cons
nil
cons
cons
144
ref
subst
deductAntisym
eqMp
eqMp
nil
128
ref
216
ref
cons
255
def
130
ref
220
remove
cons
nil
cons
cons
nil
cons
cons
144
ref
subst
deductAntisym
eqMp
256
def
subst
eqMp
eqMp
eqMp
nil
128
ref
166
remove
cons
210
ref
cons
nil
cons
cons
144
ref
subst
deductAntisym
eqMp
eqMp
absThm
eqMp
nil
90
ref
43
ref
49
ref
92
ref
83
ref
156
ref
appTerm
appTerm
30
ref
appTerm
absTerm
appTerm
nil
cons
cons
91
ref
92
ref
84
remove
appTerm
30
ref
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
152
ref
subst
proveHyp
195
ref
44
ref
83
remove
nil
cons
cons
210
remove
cons
nil
cons
cons
256
ref
subst
eqMp
eqMp
eqMp
absThm
eqMp
257
def
nil
88
ref
31
ref
appTerm
258
def
thm
nil
90
ref
40
ref
0
ref
87
ref
8
ref
cons
opType
259
def
constTerm
260
def
"p"
9
ref
var
261
def
39
ref
88
ref
11
ref
261
ref
varTerm
262
def
22
ref
appTerm
263
def
absTerm
264
def
appTerm
265
def
appTerm
43
ref
70
ref
189
ref
74
ref
262
ref
79
ref
appTerm
266
def
absTerm
267
def
appTerm
268
def
absTerm
269
def
appTerm
270
def
appTerm
absTerm
271
def
appTerm
272
def
nil
cons
cons
273
def
nil
cons
nil
cons
cons
239
ref
refl
274
def
nil
61
ref
"Data.Bool.~"
const
37
remove
constTerm
275
def
93
ref
appTerm
276
def
nil
cons
277
def
cons
nil
cons
nil
cons
cons
61
ref
39
ref
92
ref
63
ref
appTerm
278
def
"Data.Bool.F"
const
7
ref
constTerm
279
def
appTerm
appTerm
275
ref
63
ref
appTerm
280
def
appTerm
absTerm
281
def
63
ref
appTerm
282
def
betaConv
nil
230
ref
281
ref
appTerm
283
def
axiom
nil
90
ref
283
remove
nil
cons
cons
91
ref
282
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
152
ref
subst
proveHyp
251
ref
252
ref
281
remove
nil
cons
cons
253
ref
63
ref
nil
cons
cons
nil
cons
284
def
cons
nil
cons
cons
162
ref
subst
eqMp
eqMp
285
def
subst
appThm
sym
274
remove
122
ref
61
ref
39
ref
275
ref
280
ref
appTerm
appTerm
63
ref
appTerm
absTerm
286
def
63
ref
appTerm
287
def
betaConv
nil
230
ref
286
ref
appTerm
288
def
axiom
nil
90
ref
288
remove
nil
cons
cons
91
ref
287
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
152
ref
subst
proveHyp
251
ref
252
ref
286
remove
nil
cons
cons
284
ref
cons
nil
cons
cons
162
ref
subst
eqMp
eqMp
289
def
subst
290
def
appThm
nil
253
ref
121
ref
cons
nil
cons
291
def
nil
cons
cons
251
ref
35
ref
cons
292
def
nil
61
ref
186
ref
156
ref
appTerm
293
def
156
ref
appTerm
nil
cons
cons
nil
cons
nil
cons
cons
67
ref
subst
161
ref
eqMp
294
def
subst
295
def
subst
trans
sym
66
ref
eqMp
eqMp
296
def
subst
sym
nil
90
ref
275
ref
272
ref
appTerm
297
def
nil
cons
298
def
cons
91
ref
279
ref
nil
cons
299
def
cons
nil
cons
300
def
cons
nil
cons
cons
301
def
109
ref
subst
301
remove
160
ref
subst
257
ref
nil
90
ref
258
remove
nil
cons
302
def
cons
303
def
300
ref
cons
nil
cons
cons
304
def
152
ref
subst
proveHyp
305
def
304
ref
109
ref
subst
306
def
304
remove
160
ref
subst
307
def
nil
"P"
87
ref
var
308
def
271
ref
nil
cons
cons
309
def
nil
cons
nil
cons
cons
"A"
13
ref
cons
nil
cons
310
def
35
ref
cons
311
def
132
ref
275
ref
refl
312
def
43
ref
refl
313
def
nil
"t"
41
ref
var
314
def
45
ref
nil
cons
315
def
cons
nil
cons
nil
cons
cons
194
ref
"B"
8
ref
cons
316
def
nil
cons
317
def
cons
35
ref
cons
318
def
"t"
0
ref
5
remove
opType
319
def
var
320
def
12
ref
0
ref
319
ref
0
ref
319
ref
8
ref
cons
opType
321
def
nil
cons
cons
opType
constTerm
322
def
320
ref
varTerm
323
def
appTerm
49
ref
323
ref
156
ref
appTerm
absTerm
324
def
appTerm
325
def
absTerm
326
def
323
ref
appTerm
327
def
betaConv
40
ref
0
ref
321
ref
8
ref
cons
opType
328
def
constTerm
329
def
refl
330
def
320
ref
325
remove
assume
sym
322
ref
324
remove
appTerm
323
ref
appTerm
331
def
assume
sym
deductAntisym
absThm
appThm
nil
329
ref
320
ref
331
remove
absTerm
332
def
appTerm
333
def
axiom
334
def
eqMp
nil
90
ref
329
ref
326
ref
appTerm
nil
cons
cons
91
ref
327
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
152
ref
subst
proveHyp
"A"
319
ref
nil
cons
335
def
cons
nil
cons
336
def
"P"
321
ref
var
337
def
326
remove
nil
cons
cons
"x"
319
ref
var
338
def
323
ref
nil
cons
cons
nil
cons
339
def
cons
nil
cons
cons
162
ref
subst
eqMp
eqMp
340
def
subst
subst
341
def
appThm
appThm
appThm
69
ref
49
ref
275
ref
157
ref
appTerm
absTerm
342
def
appTerm
refl
appThm
sym
nil
47
ref
315
ref
cons
nil
cons
nil
cons
cons
343
def
47
ref
39
ref
275
ref
43
ref
49
ref
235
ref
absTerm
344
def
appTerm
appTerm
appTerm
69
ref
49
ref
275
ref
235
ref
appTerm
345
def
absTerm
346
def
appTerm
appTerm
absTerm
347
def
48
ref
appTerm
348
def
betaConv
nil
40
ref
54
remove
constTerm
349
def
347
ref
appTerm
350
def
axiom
nil
90
ref
350
remove
nil
cons
cons
91
ref
348
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
152
ref
subst
proveHyp
"A"
185
remove
cons
nil
cons
351
def
"P"
42
remove
var
352
def
347
remove
nil
cons
cons
"x"
41
ref
var
353
def
48
ref
nil
cons
354
def
cons
nil
cons
355
def
cons
nil
cons
cons
162
ref
subst
eqMp
eqMp
subst
eqMp
356
def
subst
357
def
subst
68
ref
259
remove
constTerm
358
def
refl
359
def
261
ref
312
ref
271
remove
262
ref
appTerm
360
def
betaConv
361
def
appThm
nil
90
ref
265
ref
nil
cons
362
def
cons
363
def
91
ref
270
ref
nil
cons
364
def
cons
nil
cons
365
def
cons
nil
cons
cons
nil
90
ref
239
ref
279
ref
appTerm
366
def
nil
cons
367
def
cons
368
def
91
ref
39
ref
275
ref
240
ref
appTerm
appTerm
"Data.Bool.\\/"
const
38
remove
constTerm
369
def
99
ref
275
ref
95
ref
appTerm
370
def
appTerm
appTerm
98
ref
276
ref
appTerm
95
ref
appTerm
appTerm
appTerm
nil
cons
371
def
cons
nil
cons
372
def
cons
nil
cons
cons
373
def
109
ref
subst
373
remove
160
ref
subst
39
ref
"_550"
7
ref
var
374
def
39
ref
275
ref
39
ref
374
remove
varTerm
375
def
appTerm
95
ref
appTerm
appTerm
appTerm
369
ref
98
ref
375
ref
appTerm
370
ref
appTerm
appTerm
98
ref
275
ref
375
remove
appTerm
appTerm
95
ref
appTerm
appTerm
appTerm
absTerm
376
def
93
ref
appTerm
377
def
appTerm
refl
378
def
376
ref
279
ref
appTerm
betaConv
appThm
132
ref
377
remove
betaConv
appThm
379
def
39
ref
275
ref
39
ref
279
ref
appTerm
380
def
95
ref
appTerm
381
def
appTerm
appTerm
369
ref
98
ref
279
ref
appTerm
382
def
370
ref
appTerm
appTerm
98
ref
275
ref
279
ref
appTerm
383
def
appTerm
384
def
95
ref
appTerm
appTerm
appTerm
refl
appThm
trans
376
remove
refl
385
def
366
remove
assume
386
def
appThm
eqMp
sym
132
ref
312
ref
125
ref
61
ref
39
ref
380
ref
63
ref
appTerm
appTerm
280
ref
appTerm
absTerm
387
def
63
ref
appTerm
388
def
betaConv
nil
230
ref
387
ref
appTerm
389
def
axiom
nil
90
ref
389
remove
nil
cons
cons
91
ref
388
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
152
ref
subst
proveHyp
251
ref
252
ref
387
remove
nil
cons
cons
284
ref
cons
nil
cons
cons
162
ref
subst
eqMp
eqMp
390
def
subst
391
def
appThm
125
ref
289
ref
subst
392
def
trans
appThm
369
ref
refl
393
def
nil
61
ref
370
ref
nil
cons
394
def
cons
nil
cons
nil
cons
cons
395
def
61
ref
39
ref
382
remove
63
ref
appTerm
appTerm
279
ref
appTerm
absTerm
396
def
63
ref
appTerm
397
def
betaConv
nil
230
ref
396
ref
appTerm
398
def
axiom
nil
90
ref
398
remove
nil
cons
cons
91
ref
397
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
152
ref
subst
proveHyp
251
ref
252
ref
396
remove
nil
cons
cons
284
ref
cons
nil
cons
cons
162
ref
subst
eqMp
eqMp
399
def
subst
appThm
98
ref
refl
400
def
nil
39
ref
383
ref
appTerm
401
def
50
ref
appTerm
axiom
402
def
appThm
403
def
104
ref
appThm
125
ref
61
ref
39
ref
98
ref
50
ref
appTerm
404
def
63
ref
appTerm
appTerm
63
ref
appTerm
absTerm
405
def
63
ref
appTerm
406
def
betaConv
nil
230
ref
405
ref
appTerm
407
def
axiom
nil
90
ref
407
remove
nil
cons
cons
91
ref
406
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
152
ref
subst
proveHyp
251
ref
252
ref
405
remove
nil
cons
cons
284
ref
cons
nil
cons
cons
162
ref
subst
eqMp
eqMp
408
def
subst
trans
appThm
125
ref
61
ref
39
ref
369
ref
279
ref
appTerm
409
def
63
ref
appTerm
appTerm
63
ref
appTerm
absTerm
410
def
63
ref
appTerm
411
def
betaConv
nil
230
ref
410
ref
appTerm
412
def
axiom
nil
90
ref
412
remove
nil
cons
cons
91
ref
411
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
152
ref
subst
proveHyp
251
ref
252
ref
410
remove
nil
cons
cons
284
ref
cons
nil
cons
cons
162
ref
subst
eqMp
eqMp
413
def
subst
trans
appThm
nil
253
ref
124
ref
cons
nil
cons
414
def
nil
cons
cons
295
ref
subst
trans
sym
66
ref
eqMp
eqMp
eqMp
nil
128
ref
367
ref
cons
415
def
130
ref
371
ref
cons
nil
cons
416
def
cons
nil
cons
cons
144
ref
subst
deductAntisym
eqMp
nil
90
ref
239
ref
50
ref
appTerm
417
def
nil
cons
418
def
cons
419
def
372
remove
cons
nil
cons
cons
420
def
109
ref
subst
420
remove
160
ref
subst
378
remove
"_548"
7
ref
var
421
def
39
ref
275
ref
39
ref
421
remove
varTerm
422
def
appTerm
95
ref
appTerm
appTerm
appTerm
369
ref
98
ref
422
ref
appTerm
370
ref
appTerm
appTerm
98
ref
275
ref
422
remove
appTerm
appTerm
95
ref
appTerm
appTerm
appTerm
absTerm
50
ref
appTerm
betaConv
appThm
379
remove
39
ref
275
ref
39
ref
50
ref
appTerm
423
def
95
ref
appTerm
424
def
appTerm
appTerm
369
ref
404
remove
370
ref
appTerm
appTerm
98
ref
275
ref
50
ref
appTerm
425
def
appTerm
426
def
95
ref
appTerm
appTerm
appTerm
refl
appThm
trans
385
remove
417
remove
assume
427
def
appThm
eqMp
sym
132
ref
312
ref
125
ref
61
ref
39
ref
423
ref
63
ref
appTerm
appTerm
63
ref
appTerm
absTerm
428
def
63
ref
appTerm
429
def
betaConv
nil
230
ref
428
ref
appTerm
430
def
axiom
nil
90
ref
430
remove
nil
cons
cons
91
ref
429
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
152
ref
subst
proveHyp
251
ref
252
ref
428
remove
nil
cons
cons
284
ref
cons
nil
cons
cons
162
ref
subst
eqMp
eqMp
431
def
subst
432
def
appThm
appThm
393
ref
395
ref
408
ref
subst
appThm
400
ref
nil
39
ref
425
ref
appTerm
433
def
279
ref
appTerm
axiom
434
def
appThm
435
def
104
remove
appThm
125
ref
399
ref
subst
trans
appThm
395
ref
61
ref
39
ref
369
ref
63
ref
appTerm
436
def
279
ref
appTerm
appTerm
63
ref
appTerm
absTerm
437
def
63
ref
appTerm
438
def
betaConv
nil
230
ref
437
ref
appTerm
439
def
axiom
nil
90
ref
439
remove
nil
cons
cons
91
ref
438
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
152
ref
subst
proveHyp
251
ref
252
ref
437
remove
nil
cons
cons
284
ref
cons
nil
cons
cons
162
ref
subst
eqMp
eqMp
440
def
subst
trans
appThm
nil
253
ref
394
remove
cons
nil
cons
nil
cons
cons
295
ref
subst
trans
sym
66
ref
eqMp
eqMp
eqMp
nil
128
ref
418
remove
cons
441
def
416
remove
cons
nil
cons
cons
144
ref
subst
deductAntisym
eqMp
61
ref
369
ref
65
ref
appTerm
64
remove
279
ref
appTerm
appTerm
absTerm
442
def
93
ref
appTerm
443
def
betaConv
nil
230
ref
442
ref
appTerm
444
def
axiom
445
def
nil
90
ref
444
remove
nil
cons
cons
446
def
91
ref
443
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
152
ref
subst
proveHyp
251
ref
252
ref
442
ref
nil
cons
cons
447
def
291
ref
cons
nil
cons
cons
162
ref
subst
eqMp
eqMp
448
def
nil
441
ref
130
ref
367
remove
cons
449
def
"R"
7
ref
var
450
def
371
remove
cons
nil
cons
cons
cons
nil
cons
cons
nil
90
ref
92
ref
135
ref
appTerm
451
def
450
ref
varTerm
452
def
appTerm
453
def
nil
cons
cons
91
ref
452
ref
nil
cons
454
def
cons
nil
cons
cons
nil
cons
cons
152
ref
subst
nil
90
ref
92
ref
133
ref
appTerm
455
def
452
ref
appTerm
nil
cons
cons
91
ref
92
ref
453
remove
appTerm
452
ref
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
152
ref
subst
"r"
7
ref
var
456
def
92
ref
455
ref
456
ref
varTerm
457
def
appTerm
appTerm
458
def
92
ref
451
remove
457
ref
appTerm
appTerm
457
ref
appTerm
appTerm
absTerm
459
def
452
remove
appTerm
460
def
betaConv
39
ref
369
ref
133
ref
appTerm
461
def
135
ref
appTerm
462
def
appTerm
refl
91
ref
230
ref
456
ref
458
remove
92
ref
92
ref
95
ref
appTerm
463
def
457
ref
appTerm
464
def
appTerm
465
def
457
ref
appTerm
466
def
appTerm
absTerm
appTerm
absTerm
135
ref
appTerm
betaConv
appThm
117
ref
461
remove
appTerm
refl
90
ref
91
ref
230
ref
456
ref
92
ref
94
ref
457
ref
appTerm
467
def
appTerm
466
remove
appTerm
absTerm
appTerm
absTerm
absTerm
468
def
133
ref
appTerm
betaConv
appThm
nil
106
remove
369
ref
appTerm
468
remove
appTerm
axiom
142
ref
appThm
eqMp
138
ref
appThm
eqMp
462
remove
assume
eqMp
nil
90
ref
230
ref
459
ref
appTerm
nil
cons
cons
91
ref
460
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
152
ref
subst
proveHyp
251
ref
252
ref
459
remove
nil
cons
cons
253
ref
454
remove
cons
nil
cons
cons
nil
cons
cons
162
ref
subst
eqMp
eqMp
eqMp
eqMp
469
def
subst
proveHyp
proveHyp
proveHyp
470
def
subst
393
ref
400
ref
88
ref
refl
471
def
264
ref
refl
472
def
appThm
appThm
473
def
nil
44
ref
269
ref
nil
cons
cons
474
def
nil
cons
nil
cons
cons
356
ref
subst
69
ref
refl
475
def
70
ref
312
ref
269
ref
76
ref
appTerm
476
def
betaConv
477
def
appThm
nil
168
ref
267
ref
nil
cons
478
def
cons
479
def
nil
cons
nil
cons
cons
480
def
173
ref
356
ref
subst
subst
73
ref
refl
481
def
74
ref
312
ref
267
ref
78
ref
appTerm
482
def
betaConv
483
def
appThm
absThm
484
def
appThm
trans
trans
absThm
appThm
trans
appThm
appThm
400
ref
nil
10
ref
264
ref
nil
cons
cons
485
def
nil
cons
nil
cons
cons
486
def
36
ref
356
ref
subst
subst
68
ref
87
ref
constTerm
487
def
refl
488
def
11
ref
312
ref
264
ref
22
ref
appTerm
betaConv
appThm
absThm
489
def
appThm
trans
appThm
313
ref
70
ref
189
ref
refl
490
def
74
ref
266
ref
refl
absThm
491
def
appThm
absThm
appThm
492
def
appThm
appThm
trans
trans
absThm
appThm
trans
132
ref
359
ref
261
ref
393
ref
261
ref
98
ref
265
ref
appTerm
493
def
69
ref
70
ref
73
ref
74
ref
275
ref
266
ref
appTerm
494
def
absTerm
495
def
appTerm
absTerm
496
def
appTerm
appTerm
absTerm
497
def
262
ref
appTerm
betaConv
498
def
appThm
261
ref
98
ref
487
ref
11
ref
275
ref
263
ref
appTerm
499
def
absTerm
500
def
appTerm
appTerm
270
ref
appTerm
absTerm
501
def
262
ref
appTerm
betaConv
502
def
appThm
absThm
appThm
appThm
393
ref
359
ref
261
ref
498
remove
absThm
appThm
appThm
359
ref
261
ref
502
remove
absThm
appThm
appThm
appThm
nil
"p"
87
ref
var
503
def
497
remove
nil
cons
cons
"q"
87
ref
var
504
def
501
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
311
ref
"q"
41
ref
var
505
def
39
ref
69
ref
49
ref
369
ref
235
ref
appTerm
506
def
505
ref
varTerm
507
def
156
ref
appTerm
508
def
appTerm
absTerm
appTerm
509
def
appTerm
369
ref
69
ref
344
remove
appTerm
510
def
appTerm
511
def
69
ref
49
ref
508
ref
absTerm
appTerm
512
def
appTerm
513
def
appTerm
absTerm
514
def
507
ref
appTerm
515
def
betaConv
47
ref
349
ref
514
ref
appTerm
516
def
absTerm
517
def
48
ref
appTerm
518
def
betaConv
nil
349
ref
517
ref
appTerm
519
def
axiom
nil
90
ref
519
remove
nil
cons
cons
91
ref
518
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
152
ref
subst
proveHyp
351
ref
352
ref
517
remove
nil
cons
cons
355
ref
cons
nil
cons
cons
162
ref
subst
eqMp
eqMp
nil
90
ref
516
remove
nil
cons
cons
91
ref
515
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
152
ref
subst
proveHyp
351
ref
352
ref
514
remove
nil
cons
cons
353
ref
507
ref
nil
cons
cons
nil
cons
520
def
cons
nil
cons
cons
162
ref
subst
eqMp
eqMp
subst
521
def
subst
eqMp
393
ref
359
ref
261
ref
132
ref
473
ref
475
ref
70
ref
496
ref
76
ref
appTerm
betaConv
522
def
absThm
appThm
appThm
appThm
475
ref
70
ref
473
ref
522
remove
appThm
absThm
appThm
appThm
nil
505
ref
496
remove
nil
cons
cons
363
ref
nil
cons
523
def
cons
nil
cons
cons
505
ref
39
ref
99
ref
512
ref
appTerm
appTerm
69
ref
49
ref
99
remove
508
ref
appTerm
absTerm
appTerm
appTerm
absTerm
524
def
507
ref
appTerm
525
def
betaConv
90
ref
349
ref
524
ref
appTerm
526
def
absTerm
527
def
93
ref
appTerm
528
def
betaConv
nil
230
ref
527
ref
appTerm
529
def
axiom
nil
90
ref
529
remove
nil
cons
cons
91
ref
528
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
152
ref
subst
proveHyp
251
ref
252
ref
527
remove
nil
cons
cons
291
ref
cons
nil
cons
cons
162
ref
subst
eqMp
eqMp
nil
90
ref
526
remove
nil
cons
cons
91
ref
525
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
152
ref
subst
proveHyp
351
ref
352
ref
524
remove
nil
cons
cons
520
ref
cons
nil
cons
cons
162
ref
subst
eqMp
eqMp
530
def
subst
eqMp
475
ref
70
ref
132
ref
473
ref
481
ref
74
ref
495
ref
78
ref
appTerm
betaConv
531
def
absThm
appThm
appThm
appThm
481
ref
74
ref
473
remove
531
remove
appThm
absThm
appThm
appThm
nil
"q"
71
ref
var
532
def
495
ref
nil
cons
cons
523
remove
cons
nil
cons
cons
173
ref
530
ref
subst
533
def
subst
eqMp
absThm
appThm
trans
absThm
appThm
appThm
359
ref
261
ref
132
ref
400
ref
488
ref
11
ref
500
ref
22
ref
appTerm
betaConv
534
def
absThm
appThm
appThm
492
ref
appThm
appThm
488
ref
11
ref
400
ref
534
remove
appThm
492
remove
appThm
absThm
appThm
appThm
nil
261
ref
500
ref
nil
cons
535
def
cons
365
remove
cons
nil
cons
cons
36
ref
91
ref
39
ref
98
ref
510
ref
appTerm
95
ref
appTerm
appTerm
69
ref
49
ref
98
ref
235
ref
appTerm
536
def
95
ref
appTerm
absTerm
appTerm
appTerm
absTerm
537
def
95
ref
appTerm
538
def
betaConv
47
ref
230
ref
537
ref
appTerm
539
def
absTerm
540
def
48
ref
appTerm
541
def
betaConv
nil
349
ref
540
ref
appTerm
542
def
axiom
nil
90
ref
542
remove
nil
cons
cons
91
ref
541
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
152
ref
subst
proveHyp
351
ref
352
ref
540
remove
nil
cons
cons
355
ref
cons
nil
cons
cons
162
ref
subst
eqMp
eqMp
nil
90
ref
539
remove
nil
cons
cons
91
ref
538
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
152
ref
subst
proveHyp
251
ref
252
ref
537
remove
nil
cons
cons
414
ref
cons
nil
cons
cons
162
ref
subst
eqMp
eqMp
543
def
subst
544
def
subst
eqMp
absThm
appThm
appThm
132
ref
393
ref
359
ref
261
ref
261
ref
69
ref
70
ref
73
ref
74
ref
493
remove
494
ref
appTerm
545
def
absTerm
546
def
appTerm
absTerm
547
def
appTerm
absTerm
548
def
262
ref
appTerm
betaConv
549
def
absThm
appThm
appThm
359
ref
261
ref
261
ref
487
ref
11
ref
98
ref
499
ref
appTerm
270
ref
appTerm
550
def
absTerm
551
def
appTerm
552
def
absTerm
553
def
262
ref
appTerm
betaConv
554
def
absThm
appThm
appThm
appThm
359
ref
261
ref
393
ref
549
remove
appThm
554
remove
appThm
absThm
appThm
appThm
nil
503
ref
548
remove
nil
cons
cons
504
ref
553
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
311
ref
505
ref
39
ref
513
remove
appTerm
509
remove
appTerm
absTerm
555
def
507
ref
appTerm
556
def
betaConv
47
ref
349
ref
555
ref
appTerm
557
def
absTerm
558
def
48
ref
appTerm
559
def
betaConv
nil
349
ref
558
ref
appTerm
560
def
axiom
nil
90
ref
560
remove
nil
cons
cons
91
ref
559
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
152
ref
subst
proveHyp
351
ref
352
ref
558
remove
nil
cons
cons
355
ref
cons
nil
cons
cons
162
ref
subst
eqMp
eqMp
nil
90
ref
557
remove
nil
cons
cons
91
ref
556
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
152
ref
subst
proveHyp
351
ref
352
ref
555
remove
nil
cons
cons
520
ref
cons
nil
cons
cons
162
ref
subst
eqMp
eqMp
561
def
subst
562
def
subst
eqMp
359
ref
261
ref
132
ref
393
ref
475
ref
70
ref
547
ref
76
ref
appTerm
betaConv
563
def
absThm
appThm
appThm
552
ref
refl
564
def
appThm
appThm
475
ref
70
ref
393
ref
563
remove
appThm
564
ref
appThm
absThm
appThm
appThm
nil
47
ref
547
remove
nil
cons
cons
91
ref
552
remove
nil
cons
cons
nil
cons
565
def
cons
nil
cons
cons
91
ref
39
ref
511
remove
95
ref
appTerm
appTerm
69
ref
49
ref
506
remove
95
ref
appTerm
absTerm
appTerm
appTerm
absTerm
566
def
95
ref
appTerm
567
def
betaConv
47
ref
230
ref
566
ref
appTerm
568
def
absTerm
569
def
48
ref
appTerm
570
def
betaConv
nil
349
ref
569
ref
appTerm
571
def
axiom
nil
90
ref
571
remove
nil
cons
cons
91
ref
570
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
152
ref
subst
proveHyp
351
ref
352
ref
569
remove
nil
cons
cons
355
ref
cons
nil
cons
cons
162
ref
subst
eqMp
eqMp
nil
90
ref
568
remove
nil
cons
cons
91
ref
567
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
152
ref
subst
proveHyp
251
ref
252
ref
566
remove
nil
cons
cons
414
remove
cons
nil
cons
cons
162
ref
subst
eqMp
eqMp
572
def
subst
eqMp
475
ref
70
ref
132
ref
393
ref
481
ref
74
ref
546
ref
78
ref
appTerm
betaConv
573
def
absThm
appThm
appThm
564
ref
appThm
appThm
481
ref
74
ref
393
ref
573
remove
appThm
564
remove
appThm
absThm
appThm
appThm
nil
"p"
71
ref
var
574
def
546
remove
nil
cons
cons
565
remove
cons
nil
cons
cons
173
ref
572
ref
subst
subst
eqMp
481
ref
74
ref
132
ref
369
ref
545
ref
appTerm
575
def
refl
576
def
488
ref
11
ref
551
ref
22
ref
appTerm
betaConv
577
def
absThm
appThm
appThm
appThm
488
ref
11
ref
576
remove
577
remove
appThm
absThm
appThm
appThm
nil
"q"
9
ref
var
578
def
551
remove
nil
cons
cons
90
ref
545
remove
nil
cons
579
def
cons
580
def
nil
cons
cons
nil
cons
cons
36
ref
505
ref
39
ref
369
ref
93
ref
appTerm
581
def
512
remove
appTerm
appTerm
69
ref
49
ref
581
remove
508
remove
appTerm
absTerm
appTerm
appTerm
absTerm
582
def
507
remove
appTerm
583
def
betaConv
90
ref
349
ref
582
ref
appTerm
584
def
absTerm
585
def
93
ref
appTerm
586
def
betaConv
nil
230
ref
585
ref
appTerm
587
def
axiom
nil
90
ref
587
remove
nil
cons
cons
91
ref
586
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
152
ref
subst
proveHyp
251
ref
252
ref
585
remove
nil
cons
cons
291
remove
cons
nil
cons
cons
162
ref
subst
eqMp
eqMp
nil
90
ref
584
remove
nil
cons
cons
91
ref
583
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
152
ref
subst
proveHyp
351
ref
352
ref
582
remove
nil
cons
cons
520
remove
cons
nil
cons
cons
162
ref
subst
eqMp
eqMp
588
def
subst
subst
eqMp
absThm
appThm
trans
absThm
appThm
trans
absThm
appThm
trans
trans
trans
trans
297
remove
assume
eqMp
nil
90
ref
358
ref
261
ref
69
ref
70
ref
73
ref
74
ref
487
ref
11
ref
575
remove
550
ref
appTerm
589
def
absTerm
590
def
appTerm
591
def
absTerm
592
def
appTerm
593
def
absTerm
594
def
appTerm
595
def
absTerm
596
def
appTerm
597
def
nil
cons
cons
300
ref
cons
nil
cons
cons
152
ref
subst
proveHyp
nil
308
ref
261
ref
92
ref
596
ref
262
ref
appTerm
598
def
appTerm
279
ref
appTerm
599
def
absTerm
nil
cons
cons
nil
cons
nil
cons
cons
311
ref
59
ref
subst
600
def
subst
261
ref
nil
61
ref
599
remove
nil
cons
cons
nil
cons
nil
cons
cons
67
ref
subst
nil
90
ref
598
ref
nil
cons
601
def
cons
300
ref
cons
nil
cons
cons
602
def
109
ref
subst
602
remove
160
ref
subst
598
ref
betaConv
598
remove
assume
eqMp
nil
90
ref
595
ref
nil
cons
cons
300
ref
cons
nil
cons
cons
152
ref
subst
proveHyp
nil
44
ref
70
ref
92
ref
594
ref
76
ref
appTerm
603
def
appTerm
279
ref
appTerm
604
def
absTerm
nil
cons
cons
nil
cons
nil
cons
cons
59
ref
subst
70
ref
nil
61
ref
604
remove
nil
cons
cons
nil
cons
nil
cons
cons
67
ref
subst
nil
90
ref
603
ref
nil
cons
605
def
cons
300
ref
cons
nil
cons
cons
606
def
109
ref
subst
606
remove
160
ref
subst
603
ref
betaConv
603
remove
assume
eqMp
nil
90
ref
593
ref
nil
cons
cons
300
ref
cons
nil
cons
cons
152
ref
subst
proveHyp
nil
168
ref
74
ref
92
ref
592
ref
78
ref
appTerm
607
def
appTerm
279
ref
appTerm
608
def
absTerm
nil
cons
cons
nil
cons
nil
cons
cons
174
ref
subst
74
ref
nil
61
ref
608
remove
nil
cons
cons
nil
cons
nil
cons
cons
67
ref
subst
nil
90
ref
607
ref
nil
cons
609
def
cons
300
ref
cons
nil
cons
cons
610
def
109
ref
subst
610
remove
160
ref
subst
607
ref
betaConv
607
remove
assume
eqMp
nil
90
ref
591
ref
nil
cons
cons
300
ref
cons
nil
cons
cons
152
ref
subst
proveHyp
nil
10
ref
11
ref
92
ref
590
ref
22
ref
appTerm
611
def
appTerm
279
ref
appTerm
612
def
absTerm
613
def
nil
cons
cons
nil
cons
nil
cons
cons
60
ref
subst
11
ref
nil
61
ref
612
remove
nil
cons
cons
nil
cons
nil
cons
cons
67
ref
subst
nil
90
ref
611
ref
nil
cons
614
def
cons
300
ref
cons
nil
cons
cons
615
def
109
ref
subst
615
remove
160
ref
subst
611
ref
betaConv
611
remove
assume
eqMp
nil
90
ref
589
remove
nil
cons
616
def
cons
300
ref
cons
nil
cons
cons
617
def
152
ref
subst
proveHyp
617
ref
109
ref
subst
617
remove
160
ref
subst
nil
90
ref
550
remove
nil
cons
618
def
cons
300
ref
cons
nil
cons
cons
619
def
109
ref
subst
619
remove
160
ref
subst
nil
"_1323"
6
ref
var
620
def
153
ref
cons
nil
cons
nil
cons
cons
31
remove
620
remove
varTerm
621
def
appTerm
622
def
betaConv
nil
303
remove
91
ref
622
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
152
ref
subst
34
ref
32
remove
11
ref
621
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
162
ref
subst
eqMp
eqMp
subst
623
def
nil
90
ref
62
remove
cons
624
def
91
ref
262
ref
28
ref
appTerm
625
def
nil
cons
626
def
cons
nil
cons
627
def
cons
nil
cons
cons
160
ref
subst
proveHyp
nil
"_1325"
3
ref
var
628
def
27
ref
nil
cons
629
def
cons
"_1324"
2
ref
var
630
def
23
ref
nil
cons
631
def
cons
nil
cons
cons
nil
cons
cons
74
ref
262
ref
17
ref
630
remove
varTerm
632
def
appTerm
78
ref
appTerm
appTerm
absTerm
633
def
628
remove
varTerm
634
def
appTerm
635
def
betaConv
269
remove
632
ref
appTerm
636
def
betaConv
nil
128
ref
499
remove
nil
cons
cons
130
ref
364
ref
cons
nil
cons
cons
nil
cons
cons
637
def
132
ref
136
remove
147
ref
appTerm
betaConv
147
remove
133
ref
appTerm
betaConv
138
remove
appThm
146
remove
135
ref
appTerm
betaConv
trans
trans
appThm
148
remove
appThm
143
remove
149
remove
appThm
eqMp
sym
66
ref
eqMp
638
def
subst
nil
90
ref
364
ref
cons
639
def
91
ref
636
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
152
ref
subst
proveHyp
195
ref
474
ref
49
ref
632
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
162
ref
subst
eqMp
eqMp
nil
90
ref
189
ref
633
ref
appTerm
nil
cons
cons
91
ref
635
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
152
ref
subst
proveHyp
172
ref
168
ref
633
remove
nil
cons
cons
197
ref
634
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
162
ref
subst
eqMp
eqMp
subst
eqMp
nil
90
ref
98
ref
30
ref
appTerm
640
def
625
remove
appTerm
nil
cons
cons
91
ref
263
ref
nil
cons
641
def
cons
nil
cons
642
def
cons
nil
cons
cons
152
ref
subst
proveHyp
nil
"_1337"
6
ref
var
643
def
153
ref
cons
"_1336"
6
ref
var
644
def
28
ref
nil
cons
645
def
cons
nil
cons
cons
nil
cons
cons
nil
"b"
7
ref
var
646
def
369
ref
275
ref
14
ref
644
remove
varTerm
647
def
appTerm
643
remove
varTerm
648
def
appTerm
649
def
appTerm
650
def
appTerm
275
ref
262
ref
647
remove
appTerm
651
def
appTerm
652
def
appTerm
nil
cons
cons
"a"
7
ref
var
653
def
262
ref
648
remove
appTerm
654
def
nil
cons
655
def
cons
nil
cons
cons
nil
cons
cons
nil
90
ref
39
ref
653
ref
varTerm
656
def
appTerm
657
def
279
ref
appTerm
658
def
nil
cons
659
def
cons
660
def
91
ref
39
ref
369
ref
656
ref
appTerm
646
ref
varTerm
661
def
appTerm
662
def
appTerm
92
ref
275
ref
661
ref
appTerm
663
def
appTerm
664
def
656
ref
appTerm
appTerm
nil
cons
665
def
cons
nil
cons
666
def
cons
nil
cons
cons
667
def
109
ref
subst
667
remove
160
ref
subst
39
ref
"_606"
7
ref
var
668
def
39
ref
369
ref
668
remove
varTerm
669
def
appTerm
661
ref
appTerm
appTerm
664
ref
669
remove
appTerm
appTerm
absTerm
670
def
656
ref
appTerm
671
def
appTerm
refl
672
def
670
ref
279
ref
appTerm
betaConv
appThm
132
ref
671
remove
betaConv
appThm
673
def
39
ref
409
remove
661
ref
appTerm
674
def
appTerm
664
ref
279
ref
appTerm
appTerm
refl
appThm
trans
670
remove
refl
675
def
658
remove
assume
676
def
appThm
eqMp
sym
132
ref
nil
61
ref
661
ref
nil
cons
677
def
cons
nil
cons
nil
cons
cons
678
def
413
ref
subst
679
def
appThm
nil
61
ref
663
ref
nil
cons
680
def
cons
nil
cons
nil
cons
cons
681
def
285
ref
subst
678
ref
289
ref
subst
trans
appThm
nil
253
ref
677
remove
cons
nil
cons
nil
cons
cons
295
ref
subst
682
def
trans
sym
66
ref
eqMp
eqMp
eqMp
nil
128
ref
659
ref
cons
683
def
130
ref
665
ref
cons
nil
cons
684
def
cons
nil
cons
cons
144
ref
subst
deductAntisym
eqMp
nil
90
ref
657
ref
50
ref
appTerm
685
def
nil
cons
686
def
cons
687
def
666
remove
cons
nil
cons
cons
688
def
109
ref
subst
688
remove
160
ref
subst
672
remove
"_604"
7
ref
var
689
def
39
ref
369
ref
689
remove
varTerm
690
def
appTerm
661
ref
appTerm
appTerm
664
ref
690
remove
appTerm
appTerm
absTerm
50
ref
appTerm
betaConv
appThm
673
remove
39
ref
369
ref
50
ref
appTerm
691
def
661
ref
appTerm
692
def
appTerm
664
remove
50
ref
appTerm
appTerm
refl
appThm
trans
675
remove
685
remove
assume
693
def
appThm
eqMp
sym
132
ref
678
ref
61
ref
39
ref
691
remove
63
ref
appTerm
appTerm
50
ref
appTerm
absTerm
694
def
63
ref
appTerm
695
def
betaConv
nil
230
ref
694
ref
appTerm
696
def
axiom
nil
90
ref
696
remove
nil
cons
cons
91
ref
695
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
152
ref
subst
proveHyp
251
ref
252
ref
694
remove
nil
cons
cons
284
ref
cons
nil
cons
cons
162
ref
subst
eqMp
eqMp
697
def
subst
698
def
appThm
681
ref
61
ref
39
ref
278
ref
50
ref
appTerm
appTerm
50
ref
appTerm
absTerm
699
def
63
ref
appTerm
700
def
betaConv
nil
230
ref
699
ref
appTerm
701
def
axiom
nil
90
ref
701
remove
nil
cons
cons
91
ref
700
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
152
ref
subst
proveHyp
251
ref
252
ref
699
remove
nil
cons
cons
284
ref
cons
nil
cons
cons
162
ref
subst
eqMp
eqMp
702
def
subst
703
def
appThm
nil
61
ref
50
ref
nil
cons
704
def
cons
nil
cons
nil
cons
cons
705
def
431
ref
subst
706
def
trans
sym
66
ref
eqMp
eqMp
eqMp
nil
128
ref
686
remove
cons
707
def
684
remove
cons
nil
cons
cons
144
ref
subst
deductAntisym
eqMp
442
ref
656
ref
appTerm
708
def
betaConv
445
ref
nil
446
ref
91
ref
708
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
152
ref
subst
proveHyp
251
ref
447
ref
253
ref
656
ref
nil
cons
709
def
cons
nil
cons
cons
nil
cons
cons
162
ref
subst
eqMp
eqMp
710
def
nil
707
ref
130
ref
659
remove
cons
711
def
450
ref
665
remove
cons
nil
cons
cons
cons
nil
cons
cons
469
ref
subst
proveHyp
proveHyp
proveHyp
712
def
subst
92
ref
refl
713
def
nil
646
ref
652
ref
nil
cons
714
def
cons
653
ref
650
remove
nil
cons
715
def
cons
nil
cons
cons
nil
cons
cons
nil
660
ref
91
ref
39
ref
275
ref
662
remove
appTerm
appTerm
98
ref
275
ref
656
ref
appTerm
716
def
appTerm
663
ref
appTerm
appTerm
nil
cons
717
def
cons
nil
cons
718
def
cons
nil
cons
cons
719
def
109
ref
subst
719
remove
160
ref
subst
39
ref
"_610"
7
ref
var
720
def
39
ref
275
ref
369
ref
720
remove
varTerm
721
def
appTerm
661
ref
appTerm
appTerm
appTerm
98
ref
275
ref
721
remove
appTerm
appTerm
663
ref
appTerm
appTerm
absTerm
722
def
656
ref
appTerm
723
def
appTerm
refl
724
def
722
ref
279
ref
appTerm
betaConv
appThm
132
ref
723
remove
betaConv
appThm
725
def
39
ref
275
ref
674
remove
appTerm
appTerm
384
remove
663
ref
appTerm
appTerm
refl
appThm
trans
722
remove
refl
726
def
676
ref
appThm
eqMp
sym
132
ref
312
ref
679
ref
appThm
appThm
403
remove
663
ref
refl
727
def
appThm
681
ref
408
remove
subst
trans
appThm
nil
253
ref
680
remove
cons
nil
cons
nil
cons
cons
295
ref
subst
trans
sym
66
ref
eqMp
eqMp
eqMp
nil
683
ref
130
ref
717
ref
cons
nil
cons
728
def
cons
nil
cons
cons
144
ref
subst
deductAntisym
eqMp
nil
687
ref
718
remove
cons
nil
cons
cons
729
def
109
ref
subst
729
remove
160
ref
subst
724
remove
"_608"
7
ref
var
730
def
39
ref
275
ref
369
ref
730
remove
varTerm
731
def
appTerm
661
ref
appTerm
appTerm
appTerm
98
ref
275
ref
731
remove
appTerm
appTerm
663
ref
appTerm
appTerm
absTerm
50
ref
appTerm
betaConv
appThm
725
remove
39
ref
275
ref
692
remove
appTerm
appTerm
426
remove
663
remove
appTerm
appTerm
refl
appThm
trans
726
remove
693
ref
appThm
eqMp
sym
132
ref
312
ref
698
ref
appThm
434
ref
trans
appThm
435
remove
727
remove
appThm
681
remove
399
remove
subst
trans
appThm
nil
61
ref
299
ref
cons
nil
cons
nil
cons
cons
390
ref
subst
402
ref
trans
trans
sym
66
ref
eqMp
eqMp
eqMp
nil
707
ref
728
remove
cons
nil
cons
cons
144
ref
subst
deductAntisym
eqMp
710
ref
nil
707
ref
711
ref
450
ref
717
remove
cons
nil
cons
cons
cons
nil
cons
cons
469
ref
subst
proveHyp
proveHyp
proveHyp
732
def
subst
400
ref
nil
653
ref
649
ref
nil
cons
733
def
cons
nil
cons
734
def
nil
cons
cons
nil
61
ref
709
remove
cons
nil
cons
nil
cons
cons
289
ref
subst
735
def
subst
appThm
nil
653
ref
651
ref
nil
cons
cons
nil
cons
736
def
nil
cons
cons
735
ref
subst
appThm
trans
appThm
654
ref
refl
appThm
trans
nil
456
ref
714
remove
cons
91
ref
655
ref
cons
90
ref
715
remove
cons
nil
cons
cons
cons
nil
cons
cons
132
ref
nil
"t3"
7
ref
var
737
def
457
ref
nil
cons
738
def
cons
739
def
"t2"
7
ref
var
740
def
124
ref
cons
"t1"
7
ref
var
741
def
121
ref
cons
nil
cons
cons
742
def
cons
nil
cons
cons
737
ref
39
ref
369
ref
741
ref
varTerm
743
def
appTerm
744
def
369
ref
740
ref
varTerm
745
def
appTerm
746
def
737
ref
varTerm
747
def
appTerm
appTerm
748
def
appTerm
369
ref
744
remove
745
ref
appTerm
749
def
appTerm
747
ref
appTerm
750
def
appTerm
751
def
absTerm
752
def
747
ref
appTerm
753
def
betaConv
740
ref
230
ref
752
ref
appTerm
754
def
absTerm
755
def
745
ref
appTerm
756
def
betaConv
741
ref
230
ref
755
ref
appTerm
757
def
absTerm
758
def
743
ref
appTerm
759
def
betaConv
230
ref
refl
760
def
741
ref
760
ref
740
ref
760
remove
737
ref
751
remove
assume
sym
39
ref
750
remove
appTerm
748
remove
appTerm
761
def
assume
sym
deductAntisym
absThm
appThm
absThm
appThm
absThm
appThm
nil
230
ref
741
ref
230
ref
740
ref
230
ref
737
remove
761
remove
absTerm
appTerm
absTerm
appTerm
absTerm
appTerm
axiom
eqMp
nil
90
ref
230
ref
758
ref
appTerm
nil
cons
cons
91
ref
759
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
152
ref
subst
proveHyp
251
ref
252
ref
758
remove
nil
cons
cons
253
ref
743
ref
nil
cons
cons
nil
cons
762
def
cons
nil
cons
cons
162
ref
subst
eqMp
eqMp
nil
90
ref
757
remove
nil
cons
cons
91
ref
756
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
152
ref
subst
proveHyp
251
ref
252
ref
755
remove
nil
cons
cons
253
ref
745
ref
nil
cons
cons
nil
cons
763
def
cons
nil
cons
cons
162
ref
subst
eqMp
eqMp
nil
90
ref
754
remove
nil
cons
cons
91
ref
753
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
152
ref
subst
proveHyp
251
ref
252
ref
752
remove
nil
cons
cons
253
ref
747
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
162
ref
subst
eqMp
eqMp
764
def
subst
appThm
nil
739
remove
740
ref
121
ref
cons
741
ref
124
ref
cons
nil
cons
cons
cons
nil
cons
cons
764
remove
subst
appThm
sym
393
ref
nil
742
remove
nil
cons
cons
740
remove
39
ref
749
remove
appTerm
746
remove
743
ref
appTerm
appTerm
absTerm
765
def
745
remove
appTerm
766
def
betaConv
741
remove
230
ref
765
ref
appTerm
767
def
absTerm
768
def
743
remove
appTerm
769
def
betaConv
nil
230
ref
768
ref
appTerm
770
def
axiom
nil
90
ref
770
remove
nil
cons
cons
91
ref
769
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
152
ref
subst
proveHyp
251
ref
252
ref
768
remove
nil
cons
cons
762
remove
cons
nil
cons
cons
162
ref
subst
eqMp
eqMp
nil
90
ref
767
remove
nil
cons
cons
91
ref
766
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
152
ref
subst
proveHyp
251
ref
252
ref
765
remove
nil
cons
cons
763
remove
cons
nil
cons
cons
162
ref
subst
eqMp
eqMp
subst
771
def
appThm
457
remove
refl
appThm
eqMp
772
def
subst
nil
646
ref
369
ref
654
ref
appTerm
652
remove
appTerm
nil
cons
773
def
cons
734
remove
cons
nil
cons
cons
nil
660
ref
91
ref
39
ref
92
ref
656
ref
appTerm
661
ref
appTerm
appTerm
369
ref
716
ref
appTerm
661
ref
appTerm
appTerm
nil
cons
774
def
cons
nil
cons
775
def
cons
nil
cons
cons
776
def
109
ref
subst
776
remove
160
ref
subst
39
ref
"_630"
7
ref
var
777
def
39
ref
92
ref
777
remove
varTerm
778
def
appTerm
661
ref
appTerm
appTerm
369
ref
275
ref
778
remove
appTerm
appTerm
661
ref
appTerm
appTerm
absTerm
779
def
656
ref
appTerm
780
def
appTerm
refl
781
def
779
ref
279
ref
appTerm
betaConv
appThm
132
ref
780
remove
betaConv
appThm
782
def
39
ref
92
ref
279
ref
appTerm
783
def
661
ref
appTerm
appTerm
369
ref
383
ref
appTerm
784
def
661
ref
appTerm
appTerm
refl
appThm
trans
779
remove
refl
785
def
676
ref
appThm
eqMp
sym
132
ref
678
ref
61
ref
39
ref
783
ref
63
ref
appTerm
appTerm
50
ref
appTerm
absTerm
786
def
63
ref
appTerm
787
def
betaConv
nil
230
ref
786
ref
appTerm
788
def
axiom
nil
90
ref
788
remove
nil
cons
cons
91
ref
787
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
152
ref
subst
proveHyp
251
ref
252
ref
786
remove
nil
cons
cons
284
ref
cons
nil
cons
cons
162
ref
subst
eqMp
eqMp
subst
appThm
393
ref
402
ref
appThm
661
ref
refl
789
def
appThm
698
remove
trans
appThm
706
remove
trans
sym
66
ref
eqMp
eqMp
eqMp
nil
683
ref
130
ref
774
ref
cons
nil
cons
790
def
cons
nil
cons
cons
144
ref
subst
deductAntisym
eqMp
nil
687
ref
775
remove
cons
nil
cons
cons
791
def
109
ref
subst
791
remove
160
ref
subst
781
remove
"_628"
7
ref
var
792
def
39
ref
92
ref
792
remove
varTerm
793
def
appTerm
661
ref
appTerm
appTerm
369
ref
275
ref
793
remove
appTerm
appTerm
661
ref
appTerm
appTerm
absTerm
50
ref
appTerm
betaConv
appThm
782
remove
39
ref
92
ref
50
ref
appTerm
794
def
661
ref
appTerm
appTerm
369
ref
425
ref
appTerm
795
def
661
ref
appTerm
appTerm
refl
appThm
trans
785
remove
693
ref
appThm
eqMp
sym
132
ref
678
ref
61
ref
39
ref
794
remove
63
ref
appTerm
appTerm
63
ref
appTerm
absTerm
796
def
63
ref
appTerm
797
def
betaConv
nil
230
ref
796
ref
appTerm
798
def
axiom
nil
90
ref
798
remove
nil
cons
cons
91
ref
797
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
152
ref
subst
proveHyp
251
ref
252
ref
796
remove
nil
cons
cons
284
ref
cons
nil
cons
cons
162
ref
subst
eqMp
eqMp
subst
appThm
393
ref
434
ref
appThm
789
remove
appThm
679
remove
trans
appThm
682
remove
trans
sym
66
ref
eqMp
eqMp
eqMp
nil
707
ref
790
remove
cons
nil
cons
cons
144
ref
subst
deductAntisym
eqMp
710
ref
nil
707
ref
711
ref
450
ref
774
remove
cons
nil
cons
cons
cons
nil
cons
cons
469
ref
subst
proveHyp
proveHyp
proveHyp
799
def
subst
nil
90
ref
733
ref
cons
91
ref
773
ref
cons
nil
cons
800
def
cons
nil
cons
cons
801
def
109
ref
subst
801
remove
160
ref
subst
262
ref
refl
802
def
649
remove
assume
appThm
nil
90
ref
39
ref
651
remove
appTerm
654
remove
appTerm
nil
cons
cons
800
remove
cons
nil
cons
cons
152
ref
subst
proveHyp
nil
646
ref
655
remove
cons
736
remove
cons
nil
cons
cons
nil
660
remove
91
ref
92
ref
657
remove
661
ref
appTerm
appTerm
369
ref
661
ref
appTerm
803
def
716
remove
appTerm
appTerm
nil
cons
804
def
cons
nil
cons
805
def
cons
nil
cons
cons
806
def
109
ref
subst
806
remove
160
ref
subst
39
ref
"_634"
7
ref
var
807
def
92
ref
39
ref
807
remove
varTerm
808
def
appTerm
661
ref
appTerm
appTerm
803
ref
275
ref
808
remove
appTerm
appTerm
appTerm
absTerm
809
def
656
remove
appTerm
810
def
appTerm
refl
811
def
809
ref
279
ref
appTerm
betaConv
appThm
132
ref
810
remove
betaConv
appThm
812
def
92
ref
380
ref
661
ref
appTerm
appTerm
803
ref
383
ref
appTerm
appTerm
refl
appThm
trans
809
remove
refl
813
def
676
remove
appThm
eqMp
sym
713
ref
678
ref
390
ref
subst
appThm
803
ref
refl
814
def
402
ref
appThm
678
ref
61
ref
39
ref
436
ref
50
ref
appTerm
appTerm
50
ref
appTerm
absTerm
815
def
63
ref
appTerm
816
def
betaConv
nil
230
ref
815
ref
appTerm
817
def
axiom
nil
90
ref
817
remove
nil
cons
cons
91
ref
816
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
152
ref
subst
proveHyp
251
ref
252
ref
815
remove
nil
cons
cons
284
ref
cons
nil
cons
cons
162
ref
subst
eqMp
eqMp
818
def
subst
trans
appThm
703
remove
trans
sym
66
ref
eqMp
eqMp
eqMp
nil
683
remove
130
ref
804
ref
cons
nil
cons
819
def
cons
nil
cons
cons
144
ref
subst
deductAntisym
eqMp
nil
687
remove
805
remove
cons
nil
cons
cons
820
def
109
ref
subst
820
remove
160
ref
subst
811
remove
"_632"
7
ref
var
821
def
92
ref
39
ref
821
remove
varTerm
822
def
appTerm
661
ref
appTerm
appTerm
803
ref
275
ref
822
remove
appTerm
appTerm
appTerm
absTerm
50
ref
appTerm
betaConv
appThm
812
remove
92
ref
423
ref
661
remove
appTerm
appTerm
803
remove
425
ref
appTerm
appTerm
refl
appThm
trans
813
remove
693
remove
appThm
eqMp
sym
713
ref
678
ref
431
ref
subst
appThm
814
remove
434
ref
appThm
678
ref
440
ref
subst
trans
appThm
678
remove
nil
61
ref
278
remove
63
ref
appTerm
823
def
nil
cons
cons
nil
cons
nil
cons
cons
67
ref
subst
61
ref
823
remove
absTerm
824
def
63
ref
appTerm
825
def
betaConv
nil
230
ref
824
ref
appTerm
826
def
axiom
nil
90
ref
826
remove
nil
cons
cons
91
ref
825
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
152
ref
subst
proveHyp
251
ref
252
ref
824
remove
nil
cons
cons
284
ref
cons
nil
cons
cons
162
ref
subst
eqMp
eqMp
eqMp
827
def
subst
trans
sym
66
ref
eqMp
eqMp
eqMp
nil
707
ref
819
remove
cons
nil
cons
cons
144
ref
subst
deductAntisym
eqMp
710
remove
nil
707
remove
711
remove
450
ref
804
remove
cons
nil
cons
cons
cons
nil
cons
cons
469
ref
subst
proveHyp
proveHyp
proveHyp
828
def
subst
eqMp
eqMp
nil
128
ref
733
remove
cons
130
ref
773
remove
cons
nil
cons
cons
nil
cons
cons
144
ref
subst
deductAntisym
eqMp
eqMp
eqMp
eqMp
subst
eqMp
nil
90
ref
641
ref
cons
829
def
300
ref
cons
nil
cons
cons
152
ref
subst
proveHyp
nil
829
remove
nil
cons
nil
cons
cons
39
ref
276
remove
appTerm
830
def
refl
122
remove
285
remove
subst
appThm
nil
253
ref
277
remove
cons
nil
cons
nil
cons
cons
295
ref
subst
trans
sym
66
ref
eqMp
831
def
subst
637
remove
144
ref
subst
eqMp
eqMp
eqMp
nil
128
ref
618
ref
cons
130
ref
299
ref
cons
nil
cons
832
def
cons
nil
cons
cons
144
ref
subst
deductAntisym
eqMp
nil
580
remove
300
ref
cons
nil
cons
cons
833
def
109
ref
subst
833
remove
160
ref
subst
nil
"_1322"
6
ref
var
834
def
79
ref
nil
cons
835
def
cons
nil
cons
nil
cons
cons
264
ref
834
remove
varTerm
836
def
appTerm
837
def
betaConv
nil
128
ref
362
ref
cons
130
ref
494
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
838
def
144
ref
subst
nil
363
remove
91
ref
837
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
152
ref
subst
proveHyp
34
ref
485
remove
11
ref
836
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
162
ref
subst
eqMp
eqMp
subst
nil
90
ref
266
ref
nil
cons
839
def
cons
840
def
300
ref
cons
nil
cons
cons
152
ref
subst
841
def
proveHyp
nil
840
remove
nil
cons
nil
cons
cons
831
ref
subst
838
remove
638
ref
subst
eqMp
eqMp
eqMp
nil
128
ref
579
remove
cons
842
def
832
ref
cons
nil
cons
cons
144
ref
subst
deductAntisym
eqMp
nil
842
remove
130
ref
618
remove
cons
450
ref
299
ref
cons
nil
cons
843
def
cons
cons
nil
cons
cons
469
ref
subst
proveHyp
proveHyp
eqMp
nil
128
ref
616
remove
cons
832
ref
cons
nil
cons
cons
144
ref
subst
deductAntisym
eqMp
eqMp
eqMp
nil
128
ref
614
remove
cons
832
ref
cons
nil
cons
cons
144
ref
subst
deductAntisym
eqMp
eqMp
absThm
eqMp
nil
90
ref
88
ref
613
remove
appTerm
nil
cons
cons
91
ref
92
ref
591
remove
appTerm
279
ref
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
152
ref
subst
proveHyp
34
ref
10
ref
590
remove
nil
cons
cons
832
ref
cons
nil
cons
cons
256
ref
subst
eqMp
eqMp
eqMp
nil
128
ref
609
remove
cons
832
ref
cons
nil
cons
cons
144
ref
subst
deductAntisym
eqMp
eqMp
absThm
eqMp
nil
90
ref
189
ref
197
ref
92
ref
592
ref
211
ref
appTerm
appTerm
279
ref
appTerm
absTerm
appTerm
nil
cons
cons
91
ref
92
ref
593
remove
appTerm
279
ref
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
152
ref
subst
proveHyp
172
ref
168
ref
592
remove
nil
cons
cons
832
ref
cons
nil
cons
cons
256
ref
subst
eqMp
eqMp
eqMp
nil
128
ref
605
remove
cons
832
ref
cons
nil
cons
cons
144
ref
subst
deductAntisym
eqMp
eqMp
absThm
eqMp
nil
90
ref
43
ref
49
ref
92
ref
594
ref
156
ref
appTerm
appTerm
279
ref
appTerm
absTerm
appTerm
nil
cons
cons
91
ref
92
ref
595
remove
appTerm
279
ref
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
152
ref
subst
proveHyp
195
ref
44
ref
594
remove
nil
cons
cons
832
ref
cons
nil
cons
cons
256
ref
subst
eqMp
eqMp
eqMp
nil
128
ref
601
remove
cons
832
ref
cons
nil
cons
cons
144
ref
subst
deductAntisym
eqMp
eqMp
absThm
eqMp
nil
90
ref
260
ref
"x"
9
ref
var
844
def
92
ref
596
ref
844
ref
varTerm
845
def
appTerm
appTerm
279
ref
appTerm
absTerm
appTerm
nil
cons
cons
91
ref
92
ref
597
remove
appTerm
279
ref
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
152
ref
subst
proveHyp
310
ref
308
ref
596
remove
nil
cons
cons
832
ref
cons
nil
cons
cons
256
ref
subst
eqMp
eqMp
eqMp
nil
128
ref
302
remove
cons
832
ref
cons
nil
cons
cons
144
ref
subst
846
def
deductAntisym
eqMp
eqMp
eqMp
nil
128
ref
298
remove
cons
832
ref
cons
nil
cons
cons
144
ref
subst
deductAntisym
eqMp
eqMp
847
def
nil
272
remove
thm
nil
90
ref
260
ref
261
ref
39
ref
487
ref
264
remove
appTerm
848
def
appTerm
69
ref
70
ref
73
ref
267
remove
appTerm
absTerm
849
def
appTerm
850
def
appTerm
absTerm
851
def
appTerm
852
def
nil
cons
cons
853
def
nil
cons
nil
cons
cons
296
ref
subst
sym
nil
90
ref
275
ref
852
ref
appTerm
854
def
nil
cons
855
def
cons
300
ref
cons
nil
cons
cons
856
def
109
ref
subst
856
remove
160
ref
subst
305
remove
306
remove
307
remove
nil
308
ref
851
ref
nil
cons
cons
857
def
nil
cons
nil
cons
cons
357
remove
subst
359
ref
261
ref
312
ref
851
remove
262
ref
appTerm
858
def
betaConv
859
def
appThm
nil
90
ref
848
ref
nil
cons
cons
91
ref
850
ref
nil
cons
cons
nil
cons
cons
nil
cons
cons
470
ref
subst
393
ref
400
ref
488
ref
472
remove
appThm
appThm
nil
44
ref
849
ref
nil
cons
860
def
cons
nil
cons
nil
cons
cons
132
ref
312
ref
475
ref
341
remove
appThm
appThm
appThm
43
ref
342
remove
appTerm
refl
appThm
sym
343
remove
47
ref
39
ref
275
ref
510
ref
appTerm
appTerm
43
ref
346
ref
appTerm
861
def
appTerm
absTerm
862
def
48
ref
appTerm
863
def
betaConv
nil
349
ref
862
ref
appTerm
864
def
axiom
865
def
nil
90
ref
864
remove
nil
cons
cons
91
ref
863
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
152
ref
subst
proveHyp
351
ref
352
ref
862
remove
nil
cons
cons
355
ref
cons
nil
cons
cons
162
ref
subst
eqMp
eqMp
866
def
subst
eqMp
867
def
subst
313
ref
70
ref
312
ref
849
remove
76
ref
appTerm
betaConv
868
def
appThm
480
remove
173
ref
867
ref
subst
subst
490
ref
484
remove
appThm
trans
trans
absThm
appThm
trans
appThm
appThm
400
ref
486
ref
36
ref
867
remove
subst
subst
471
ref
489
remove
appThm
trans
appThm
475
ref
70
ref
481
ref
491
remove
appThm
absThm
appThm
appThm
appThm
trans
trans
absThm
appThm
trans
132
ref
359
ref
261
ref
393
ref
261
ref
98
ref
848
remove
appTerm
43
ref
70
ref
189
ref
495
remove
appTerm
absTerm
869
def
appTerm
870
def
appTerm
absTerm
871
def
262
ref
appTerm
betaConv
872
def
appThm
261
ref
98
ref
88
ref
500
ref
appTerm
873
def
appTerm
874
def
850
remove
appTerm
absTerm
875
def
262
ref
appTerm
betaConv
876
def
appThm
absThm
appThm
appThm
393
ref
359
ref
261
ref
872
remove
absThm
appThm
appThm
359
ref
261
ref
876
remove
absThm
appThm
appThm
appThm
nil
503
ref
871
remove
nil
cons
cons
504
ref
875
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
521
remove
subst
eqMp
393
ref
359
ref
261
ref
nil
91
ref
870
ref
nil
cons
877
def
cons
nil
cons
nil
cons
cons
544
remove
subst
absThm
appThm
appThm
359
ref
261
ref
132
ref
874
ref
refl
878
def
475
ref
70
ref
868
ref
absThm
appThm
appThm
appThm
475
ref
70
ref
878
ref
868
remove
appThm
absThm
appThm
appThm
nil
505
ref
860
remove
cons
90
ref
873
remove
nil
cons
879
def
cons
880
def
nil
cons
881
def
cons
nil
cons
cons
530
ref
subst
eqMp
475
ref
70
ref
132
ref
878
ref
481
ref
74
ref
483
ref
absThm
appThm
appThm
appThm
481
ref
74
ref
878
remove
483
ref
appThm
absThm
appThm
appThm
nil
532
ref
478
remove
cons
881
remove
cons
nil
cons
cons
533
remove
subst
eqMp
absThm
appThm
trans
absThm
appThm
appThm
132
ref
393
ref
359
ref
261
ref
261
ref
487
ref
11
ref
98
ref
263
ref
appTerm
870
remove
appTerm
882
def
absTerm
883
def
appTerm
absTerm
884
def
262
ref
appTerm
betaConv
885
def
absThm
appThm
appThm
359
ref
261
ref
261
ref
69
ref
70
ref
73
ref
74
ref
874
remove
266
remove
appTerm
886
def
absTerm
887
def
appTerm
absTerm
888
def
appTerm
889
def
absTerm
890
def
262
ref
appTerm
betaConv
891
def
absThm
appThm
appThm
appThm
359
ref
261
ref
393
ref
885
remove
appThm
891
remove
appThm
absThm
appThm
appThm
nil
503
ref
884
remove
nil
cons
cons
504
remove
890
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
562
remove
subst
eqMp
359
remove
261
ref
132
ref
393
ref
488
ref
11
ref
883
ref
22
ref
appTerm
betaConv
892
def
absThm
appThm
appThm
889
ref
refl
893
def
appThm
appThm
488
ref
11
ref
393
ref
892
remove
appThm
893
remove
appThm
absThm
appThm
appThm
nil
261
ref
883
remove
nil
cons
cons
91
ref
889
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
36
ref
572
remove
subst
subst
eqMp
488
ref
11
ref
132
ref
369
ref
882
ref
appTerm
894
def
refl
895
def
475
ref
70
ref
888
ref
76
ref
appTerm
betaConv
896
def
absThm
appThm
appThm
appThm
475
ref
70
ref
895
ref
896
remove
appThm
absThm
appThm
appThm
nil
505
ref
888
remove
nil
cons
cons
90
ref
882
remove
nil
cons
897
def
cons
898
def
nil
cons
899
def
cons
nil
cons
cons
588
ref
subst
eqMp
475
ref
70
ref
132
ref
895
ref
481
ref
74
ref
887
ref
78
ref
appTerm
betaConv
900
def
absThm
appThm
appThm
appThm
481
ref
74
ref
895
remove
900
remove
appThm
absThm
appThm
appThm
nil
532
remove
887
remove
nil
cons
cons
899
remove
cons
nil
cons
cons
173
ref
588
remove
subst
subst
eqMp
absThm
appThm
trans
absThm
appThm
trans
absThm
appThm
trans
trans
trans
trans
854
remove
assume
eqMp
nil
90
ref
358
ref
261
ref
487
ref
11
ref
69
ref
70
ref
73
ref
74
ref
894
remove
886
ref
appTerm
901
def
absTerm
902
def
appTerm
903
def
absTerm
904
def
appTerm
905
def
absTerm
906
def
appTerm
907
def
absTerm
908
def
appTerm
909
def
nil
cons
cons
300
ref
cons
nil
cons
cons
152
ref
subst
proveHyp
nil
308
ref
261
ref
92
ref
908
ref
262
ref
appTerm
910
def
appTerm
279
ref
appTerm
911
def
absTerm
nil
cons
cons
nil
cons
nil
cons
cons
600
ref
subst
261
ref
nil
61
ref
911
remove
nil
cons
cons
nil
cons
nil
cons
cons
67
ref
subst
nil
90
ref
910
ref
nil
cons
912
def
cons
300
ref
cons
nil
cons
cons
913
def
109
ref
subst
913
remove
160
ref
subst
910
ref
betaConv
910
remove
assume
eqMp
nil
90
ref
907
ref
nil
cons
cons
300
ref
cons
nil
cons
cons
152
ref
subst
proveHyp
nil
10
ref
11
ref
92
ref
906
ref
22
ref
appTerm
914
def
appTerm
279
ref
appTerm
915
def
absTerm
916
def
nil
cons
cons
nil
cons
nil
cons
cons
60
ref
subst
11
ref
nil
61
ref
915
remove
nil
cons
cons
nil
cons
nil
cons
cons
67
ref
subst
nil
90
ref
914
ref
nil
cons
917
def
cons
300
ref
cons
nil
cons
cons
918
def
109
ref
subst
918
remove
160
ref
subst
914
ref
betaConv
914
remove
assume
eqMp
nil
90
ref
905
ref
nil
cons
cons
300
ref
cons
nil
cons
cons
152
ref
subst
proveHyp
nil
44
ref
70
ref
92
ref
904
ref
76
ref
appTerm
919
def
appTerm
279
ref
appTerm
920
def
absTerm
nil
cons
cons
nil
cons
nil
cons
cons
59
ref
subst
70
ref
nil
61
ref
920
remove
nil
cons
cons
nil
cons
nil
cons
cons
67
ref
subst
nil
90
ref
919
ref
nil
cons
921
def
cons
300
ref
cons
nil
cons
cons
922
def
109
ref
subst
922
remove
160
ref
subst
919
ref
betaConv
919
remove
assume
eqMp
nil
90
ref
903
ref
nil
cons
cons
300
ref
cons
nil
cons
cons
152
ref
subst
proveHyp
nil
168
ref
74
ref
92
ref
902
ref
78
ref
appTerm
923
def
appTerm
279
ref
appTerm
924
def
absTerm
nil
cons
cons
nil
cons
nil
cons
cons
174
ref
subst
74
ref
nil
61
ref
924
remove
nil
cons
cons
nil
cons
nil
cons
cons
67
ref
subst
nil
90
ref
923
ref
nil
cons
925
def
cons
300
ref
cons
nil
cons
cons
926
def
109
ref
subst
926
remove
160
ref
subst
923
ref
betaConv
923
remove
assume
eqMp
nil
90
ref
901
remove
nil
cons
927
def
cons
300
ref
cons
nil
cons
cons
928
def
152
ref
subst
proveHyp
928
ref
109
ref
subst
928
remove
160
ref
subst
nil
90
ref
886
remove
nil
cons
929
def
cons
300
ref
cons
nil
cons
cons
930
def
109
ref
subst
930
remove
160
ref
subst
nil
128
ref
879
remove
cons
130
ref
839
remove
cons
nil
cons
cons
nil
cons
cons
931
def
638
ref
subst
841
remove
proveHyp
nil
"_1350"
6
ref
var
932
def
835
ref
cons
nil
cons
nil
cons
cons
nil
90
ref
262
ref
932
remove
varTerm
933
def
appTerm
nil
cons
cons
nil
cons
nil
cons
cons
831
ref
subst
500
remove
933
ref
appTerm
934
def
betaConv
931
remove
144
ref
subst
nil
880
remove
91
ref
934
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
152
ref
subst
proveHyp
34
ref
10
ref
535
remove
cons
11
ref
933
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
162
ref
subst
eqMp
eqMp
eqMp
subst
eqMp
eqMp
nil
128
ref
929
ref
cons
832
ref
cons
nil
cons
cons
144
ref
subst
deductAntisym
eqMp
nil
898
remove
300
ref
cons
nil
cons
cons
935
def
109
ref
subst
935
remove
160
ref
subst
623
remove
nil
624
remove
91
ref
29
remove
28
ref
appTerm
936
def
nil
cons
cons
nil
cons
cons
nil
cons
cons
160
ref
subst
proveHyp
nil
11
ref
645
ref
cons
nil
cons
937
def
nil
cons
cons
36
ref
161
remove
subst
subst
eqMp
nil
90
ref
640
remove
936
remove
appTerm
nil
cons
cons
91
ref
75
ref
28
remove
appTerm
938
def
nil
cons
939
def
cons
nil
cons
cons
nil
cons
cons
152
ref
subst
proveHyp
nil
"z"
6
ref
var
940
def
645
ref
cons
"y"
6
ref
var
941
def
153
ref
cons
937
remove
cons
cons
nil
cons
cons
nil
646
ref
369
ref
275
ref
75
ref
941
ref
varTerm
942
def
appTerm
943
def
appTerm
944
def
appTerm
945
def
275
ref
75
remove
940
ref
varTerm
946
def
appTerm
947
def
appTerm
948
def
appTerm
nil
cons
cons
653
ref
14
ref
942
remove
appTerm
946
ref
appTerm
949
def
nil
cons
950
def
cons
nil
cons
cons
nil
cons
cons
712
ref
subst
713
ref
nil
646
ref
948
remove
nil
cons
951
def
cons
653
ref
944
remove
nil
cons
952
def
cons
nil
cons
cons
nil
cons
cons
732
ref
subst
400
ref
nil
653
ref
943
remove
nil
cons
cons
nil
cons
nil
cons
cons
735
ref
subst
appThm
nil
653
ref
947
remove
nil
cons
cons
nil
cons
nil
cons
cons
735
ref
subst
appThm
trans
appThm
949
remove
refl
appThm
trans
945
remove
refl
nil
91
ref
950
remove
cons
953
def
90
ref
951
ref
cons
nil
cons
cons
nil
cons
cons
771
remove
subst
appThm
nil
456
ref
951
remove
cons
953
remove
90
ref
952
remove
cons
nil
cons
cons
cons
nil
cons
cons
772
ref
subst
trans
36
ref
nil
90
ref
275
ref
293
ref
"y"
2
ref
var
954
def
varTerm
955
def
appTerm
956
def
appTerm
957
def
nil
cons
958
def
cons
959
def
91
ref
369
ref
957
remove
appTerm
369
ref
275
ref
293
remove
"z"
2
ref
var
varTerm
960
def
appTerm
appTerm
appTerm
186
ref
955
ref
appTerm
961
def
960
ref
appTerm
962
def
appTerm
963
def
appTerm
nil
cons
964
def
cons
nil
cons
965
def
cons
nil
cons
cons
966
def
109
ref
subst
966
remove
160
ref
subst
393
ref
312
ref
nil
959
remove
91
ref
39
ref
956
ref
appTerm
967
def
279
ref
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
152
ref
subst
nil
128
ref
956
ref
nil
cons
968
def
cons
969
def
nil
cons
nil
cons
cons
nil
90
ref
275
ref
133
ref
appTerm
970
def
nil
cons
971
def
cons
91
ref
39
ref
133
ref
appTerm
279
ref
appTerm
nil
cons
972
def
cons
nil
cons
cons
nil
cons
cons
973
def
109
ref
subst
973
remove
160
ref
subst
nil
90
ref
133
ref
nil
cons
974
def
cons
300
ref
cons
nil
cons
cons
247
remove
nil
90
ref
243
ref
cons
975
def
91
ref
463
ref
93
ref
appTerm
nil
cons
976
def
cons
nil
cons
977
def
cons
nil
cons
cons
160
ref
subst
proveHyp
463
ref
refl
246
remove
appThm
sym
nil
90
ref
124
ref
cons
978
def
91
ref
124
ref
cons
nil
cons
979
def
cons
nil
cons
cons
980
def
109
ref
subst
980
remove
160
ref
subst
126
remove
eqMp
nil
128
ref
124
remove
cons
131
ref
cons
nil
cons
cons
144
ref
subst
deductAntisym
eqMp
eqMp
981
def
eqMp
nil
978
ref
91
ref
121
ref
cons
nil
cons
982
def
cons
nil
cons
cons
152
ref
subst
nil
128
ref
243
remove
cons
983
def
130
ref
976
remove
cons
nil
cons
984
def
cons
nil
cons
cons
985
def
638
ref
subst
eqMp
152
ref
985
remove
144
ref
subst
eqMp
deductAntisym
deductAntisym
986
def
subst
39
ref
970
ref
appTerm
refl
90
ref
94
ref
279
ref
appTerm
absTerm
987
def
133
ref
appTerm
betaConv
appThm
nil
117
remove
275
ref
appTerm
987
remove
appTerm
axiom
142
remove
appThm
eqMp
970
remove
assume
eqMp
nil
90
ref
455
remove
279
ref
appTerm
nil
cons
cons
91
ref
783
remove
133
ref
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
160
ref
subst
proveHyp
nil
90
ref
299
ref
cons
91
ref
974
ref
cons
nil
cons
cons
nil
cons
cons
988
def
109
ref
subst
988
remove
160
ref
subst
90
ref
93
ref
absTerm
989
def
133
remove
appTerm
990
def
betaConv
nil
380
ref
230
ref
989
ref
appTerm
991
def
appTerm
axiom
279
ref
assume
eqMp
nil
90
ref
991
remove
nil
cons
cons
91
ref
990
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
152
ref
subst
proveHyp
251
ref
252
ref
989
remove
nil
cons
cons
253
ref
974
ref
cons
nil
cons
cons
nil
cons
cons
162
ref
subst
eqMp
eqMp
eqMp
nil
128
ref
299
remove
cons
130
ref
974
remove
cons
nil
cons
cons
nil
cons
cons
144
ref
subst
deductAntisym
eqMp
eqMp
eqMp
eqMp
nil
128
ref
971
remove
cons
130
ref
972
remove
cons
nil
cons
cons
nil
cons
cons
144
ref
subst
deductAntisym
eqMp
subst
eqMp
appThm
402
ref
trans
appThm
963
ref
refl
appThm
nil
61
ref
963
remove
nil
cons
cons
nil
cons
nil
cons
cons
697
remove
subst
trans
sym
66
ref
eqMp
eqMp
nil
128
ref
958
ref
cons
130
ref
964
ref
cons
nil
cons
992
def
cons
nil
cons
cons
144
ref
subst
deductAntisym
eqMp
nil
90
ref
968
ref
cons
965
remove
cons
nil
cons
cons
993
def
109
ref
subst
993
remove
160
ref
subst
393
ref
312
ref
186
ref
refl
956
ref
assume
appThm
994
def
955
ref
refl
appThm
nil
49
ref
955
ref
nil
cons
cons
nil
cons
995
def
nil
cons
cons
294
ref
subst
trans
appThm
434
ref
trans
appThm
393
ref
312
ref
994
remove
960
remove
refl
appThm
appThm
appThm
962
ref
refl
appThm
appThm
nil
61
ref
369
ref
275
ref
962
ref
appTerm
appTerm
962
ref
appTerm
nil
cons
996
def
cons
nil
cons
nil
cons
cons
413
remove
subst
trans
sym
nil
90
ref
39
ref
962
ref
appTerm
997
def
279
ref
appTerm
998
def
nil
cons
999
def
cons
91
ref
996
ref
cons
nil
cons
1000
def
cons
nil
cons
cons
1001
def
109
ref
subst
1001
remove
160
ref
subst
39
ref
"_626"
7
ref
var
1002
def
369
ref
275
ref
1002
remove
varTerm
1003
def
appTerm
appTerm
1003
remove
appTerm
absTerm
1004
def
962
ref
appTerm
1005
def
appTerm
refl
1006
def
1004
ref
279
ref
appTerm
betaConv
appThm
132
ref
1005
remove
betaConv
appThm
1007
def
784
remove
279
ref
appTerm
refl
appThm
trans
1004
remove
refl
1008
def
998
remove
assume
appThm
eqMp
sym
nil
61
ref
383
remove
nil
cons
cons
nil
cons
nil
cons
cons
440
remove
subst
402
ref
trans
sym
66
ref
eqMp
eqMp
eqMp
nil
128
ref
999
ref
cons
130
ref
996
ref
cons
nil
cons
1009
def
cons
nil
cons
cons
144
ref
subst
deductAntisym
eqMp
nil
90
ref
997
remove
50
ref
appTerm
1010
def
nil
cons
1011
def
cons
1000
remove
cons
nil
cons
cons
1012
def
109
ref
subst
1012
remove
160
ref
subst
1006
remove
"_624"
7
ref
var
1013
def
369
ref
275
ref
1013
remove
varTerm
1014
def
appTerm
appTerm
1014
remove
appTerm
absTerm
50
ref
appTerm
betaConv
appThm
1007
remove
795
remove
50
ref
appTerm
refl
appThm
trans
1008
remove
1010
remove
assume
appThm
eqMp
sym
nil
61
ref
425
remove
nil
cons
cons
nil
cons
nil
cons
cons
818
remove
subst
sym
66
ref
eqMp
eqMp
eqMp
nil
128
ref
1011
remove
cons
1015
def
1009
remove
cons
nil
cons
cons
144
ref
subst
deductAntisym
eqMp
442
ref
962
ref
appTerm
1016
def
betaConv
445
ref
nil
446
ref
91
ref
1016
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
152
ref
subst
proveHyp
251
ref
447
ref
253
ref
962
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
162
ref
subst
eqMp
eqMp
nil
1015
remove
130
ref
999
remove
cons
450
ref
996
remove
cons
nil
cons
cons
cons
nil
cons
cons
469
ref
subst
proveHyp
proveHyp
proveHyp
eqMp
eqMp
nil
969
ref
992
remove
cons
nil
cons
cons
144
ref
subst
deductAntisym
eqMp
61
ref
436
remove
280
remove
appTerm
absTerm
1017
def
956
remove
appTerm
1018
def
betaConv
nil
230
ref
1017
ref
appTerm
1019
def
axiom
nil
90
ref
1019
remove
nil
cons
cons
91
ref
1018
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
152
ref
subst
proveHyp
251
ref
252
ref
1017
remove
nil
cons
cons
253
ref
968
remove
cons
nil
cons
cons
nil
cons
cons
162
ref
subst
eqMp
eqMp
nil
969
remove
130
ref
958
remove
cons
450
ref
964
remove
cons
nil
cons
cons
cons
nil
cons
cons
469
ref
subst
proveHyp
proveHyp
proveHyp
subst
eqMp
eqMp
subst
eqMp
nil
90
ref
939
remove
cons
642
remove
cons
nil
cons
cons
160
ref
subst
proveHyp
nil
128
ref
641
ref
cons
130
ref
877
ref
cons
nil
cons
cons
nil
cons
cons
1020
def
144
ref
subst
eqMp
nil
90
ref
98
ref
938
ref
appTerm
263
remove
appTerm
nil
cons
cons
627
remove
cons
nil
cons
cons
152
ref
subst
proveHyp
nil
"_1352"
6
ref
var
1021
def
645
remove
cons
"_1351"
6
ref
var
1022
def
153
remove
cons
nil
cons
cons
nil
cons
cons
nil
646
ref
369
ref
275
ref
14
ref
1022
remove
varTerm
1023
def
appTerm
1021
remove
varTerm
1024
def
appTerm
1025
def
appTerm
1026
def
appTerm
275
ref
262
ref
1023
remove
appTerm
1027
def
appTerm
1028
def
appTerm
nil
cons
cons
653
ref
262
ref
1024
remove
appTerm
1029
def
nil
cons
1030
def
cons
nil
cons
cons
nil
cons
cons
712
remove
subst
713
ref
nil
646
ref
1028
ref
nil
cons
1031
def
cons
653
ref
1026
remove
nil
cons
1032
def
cons
nil
cons
cons
nil
cons
cons
732
remove
subst
400
ref
nil
653
ref
1025
ref
nil
cons
1033
def
cons
nil
cons
1034
def
nil
cons
cons
735
ref
subst
appThm
nil
653
remove
1027
ref
nil
cons
cons
nil
cons
1035
def
nil
cons
cons
735
remove
subst
appThm
trans
appThm
1029
ref
refl
appThm
trans
nil
456
ref
1031
remove
cons
91
ref
1030
ref
cons
90
ref
1032
remove
cons
nil
cons
cons
cons
nil
cons
cons
772
remove
subst
nil
646
ref
369
ref
1029
ref
appTerm
1028
remove
appTerm
nil
cons
1036
def
cons
1034
remove
cons
nil
cons
cons
799
remove
subst
nil
90
ref
1033
ref
cons
91
ref
1036
ref
cons
nil
cons
1037
def
cons
nil
cons
cons
1038
def
109
ref
subst
1038
remove
160
ref
subst
802
ref
1025
remove
assume
appThm
nil
90
ref
39
ref
1027
remove
appTerm
1029
remove
appTerm
nil
cons
cons
1037
remove
cons
nil
cons
cons
152
ref
subst
proveHyp
nil
646
remove
1030
remove
cons
1035
remove
cons
nil
cons
cons
828
remove
subst
eqMp
eqMp
nil
128
ref
1033
remove
cons
130
ref
1036
remove
cons
nil
cons
cons
nil
cons
cons
144
ref
subst
deductAntisym
eqMp
eqMp
eqMp
eqMp
subst
eqMp
nil
90
ref
626
remove
cons
300
ref
cons
nil
cons
cons
152
ref
subst
proveHyp
nil
"_1348"
3
ref
var
1039
def
629
ref
cons
"_1347"
2
ref
var
1040
def
631
ref
cons
nil
cons
cons
nil
cons
cons
nil
90
ref
262
ref
17
ref
1040
remove
varTerm
1041
def
appTerm
1042
def
1039
remove
varTerm
1043
def
appTerm
appTerm
nil
cons
cons
nil
cons
nil
cons
cons
831
ref
subst
74
ref
275
ref
262
ref
1042
remove
78
ref
appTerm
appTerm
appTerm
absTerm
1044
def
1043
ref
appTerm
1045
def
betaConv
869
ref
1041
ref
appTerm
1046
def
betaConv
1020
remove
638
ref
subst
nil
90
ref
877
remove
cons
91
ref
1046
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
152
ref
subst
proveHyp
195
ref
44
ref
869
remove
nil
cons
cons
49
ref
1041
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
162
ref
subst
eqMp
eqMp
nil
90
ref
189
ref
1044
ref
appTerm
nil
cons
cons
91
ref
1045
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
152
ref
subst
proveHyp
172
ref
168
ref
1044
remove
nil
cons
cons
197
ref
1043
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
162
ref
subst
eqMp
eqMp
eqMp
subst
eqMp
eqMp
nil
128
ref
897
remove
cons
1047
def
832
ref
cons
nil
cons
cons
144
ref
subst
deductAntisym
eqMp
nil
1047
remove
130
ref
929
remove
cons
843
ref
cons
cons
nil
cons
cons
469
ref
subst
proveHyp
proveHyp
eqMp
nil
128
ref
927
remove
cons
832
ref
cons
nil
cons
cons
144
ref
subst
deductAntisym
eqMp
eqMp
eqMp
nil
128
ref
925
remove
cons
832
ref
cons
nil
cons
cons
144
ref
subst
deductAntisym
eqMp
eqMp
absThm
eqMp
nil
90
ref
189
ref
197
ref
92
ref
902
ref
211
ref
appTerm
appTerm
279
ref
appTerm
absTerm
appTerm
nil
cons
cons
91
ref
92
ref
903
remove
appTerm
279
ref
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
152
ref
subst
proveHyp
172
ref
168
ref
902
remove
nil
cons
cons
832
ref
cons
nil
cons
cons
256
ref
subst
eqMp
eqMp
eqMp
nil
128
ref
921
remove
cons
832
ref
cons
nil
cons
cons
144
ref
subst
deductAntisym
eqMp
eqMp
absThm
eqMp
nil
90
ref
43
ref
49
ref
92
ref
904
ref
156
ref
appTerm
appTerm
279
ref
appTerm
absTerm
appTerm
nil
cons
cons
91
ref
92
ref
905
remove
appTerm
279
ref
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
152
ref
subst
proveHyp
195
ref
44
ref
904
remove
nil
cons
cons
832
ref
cons
nil
cons
cons
256
ref
subst
eqMp
eqMp
eqMp
nil
128
ref
917
remove
cons
832
ref
cons
nil
cons
cons
144
ref
subst
deductAntisym
eqMp
eqMp
absThm
eqMp
nil
90
ref
88
ref
916
remove
appTerm
nil
cons
cons
91
ref
92
ref
907
remove
appTerm
279
ref
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
152
ref
subst
proveHyp
34
ref
10
ref
906
remove
nil
cons
cons
832
ref
cons
nil
cons
cons
256
ref
subst
eqMp
eqMp
eqMp
nil
128
ref
912
remove
cons
832
ref
cons
nil
cons
cons
144
ref
subst
deductAntisym
eqMp
eqMp
absThm
eqMp
nil
90
ref
260
ref
844
ref
92
ref
908
ref
845
remove
appTerm
appTerm
279
ref
appTerm
absTerm
appTerm
nil
cons
cons
91
ref
92
ref
909
remove
appTerm
279
ref
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
152
ref
subst
proveHyp
310
ref
308
ref
908
remove
nil
cons
cons
832
ref
cons
nil
cons
cons
256
ref
subst
eqMp
eqMp
eqMp
846
remove
deductAntisym
eqMp
eqMp
eqMp
nil
128
ref
855
remove
cons
832
ref
cons
nil
cons
cons
144
ref
subst
deductAntisym
eqMp
eqMp
1048
def
nil
852
remove
thm
nil
308
ref
261
ref
92
ref
270
remove
appTerm
265
remove
appTerm
1049
def
absTerm
1050
def
nil
cons
cons
nil
cons
nil
cons
cons
600
ref
subst
261
ref
nil
61
ref
1049
remove
nil
cons
cons
nil
cons
nil
cons
cons
67
ref
subst
nil
639
ref
91
ref
362
ref
cons
nil
cons
cons
nil
cons
cons
1051
def
109
ref
subst
1051
remove
160
ref
subst
486
remove
60
ref
subst
11
ref
nil
61
ref
641
remove
cons
nil
cons
nil
cons
cons
67
ref
subst
802
remove
11
ref
938
ref
absTerm
1052
def
22
ref
appTerm
1053
def
betaConv
471
ref
11
ref
938
remove
assume
sym
30
remove
assume
sym
deductAntisym
absThm
appThm
257
remove
eqMp
nil
90
ref
88
ref
1052
ref
appTerm
nil
cons
cons
91
ref
1053
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
152
ref
subst
proveHyp
34
ref
10
ref
1052
remove
nil
cons
cons
154
ref
cons
nil
cons
cons
162
ref
subst
eqMp
eqMp
1054
def
appThm
sym
nil
74
ref
629
remove
cons
70
ref
631
remove
cons
nil
cons
cons
nil
cons
cons
483
remove
477
remove
nil
639
remove
91
ref
476
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
152
ref
subst
195
ref
474
remove
196
ref
cons
nil
cons
cons
162
ref
subst
eqMp
eqMp
nil
90
ref
268
remove
nil
cons
cons
91
ref
482
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
152
ref
subst
proveHyp
172
ref
479
remove
199
ref
cons
nil
cons
cons
162
ref
subst
eqMp
eqMp
subst
eqMp
eqMp
absThm
eqMp
eqMp
nil
128
ref
364
remove
cons
130
ref
362
remove
cons
nil
cons
cons
nil
cons
cons
144
ref
subst
deductAntisym
eqMp
eqMp
absThm
eqMp
nil
260
ref
1050
remove
appTerm
thm
nil
"P"
0
ref
0
ref
0
ref
2
ref
0
ref
3
ref
"C"
varType
1055
def
nil
cons
1056
def
cons
1057
def
opType
1058
def
nil
cons
1059
def
cons
opType
1060
def
8
ref
cons
opType
1061
def
8
ref
cons
opType
1062
def
var
1063
def
"p"
1061
ref
var
1064
def
39
ref
40
ref
1062
ref
constTerm
1065
def
"f"
1060
ref
var
1066
def
1064
ref
varTerm
1067
def
1066
ref
varTerm
1068
def
appTerm
1069
def
absTerm
1070
def
appTerm
1071
def
appTerm
1072
def
40
ref
0
ref
0
ref
0
ref
6
ref
1056
ref
cons
opType
1073
def
8
ref
cons
opType
1074
def
8
ref
cons
opType
1075
def
constTerm
1076
def
"f"
1073
ref
var
1077
def
1067
ref
70
ref
74
ref
1077
ref
varTerm
1078
def
79
ref
appTerm
1079
def
absTerm
absTerm
1080
def
appTerm
1081
def
absTerm
1082
def
appTerm
1083
def
appTerm
1084
def
absTerm
1085
def
nil
cons
cons
nil
cons
nil
cons
cons
"A"
1061
ref
nil
cons
cons
nil
cons
35
ref
cons
59
ref
subst
1086
def
subst
1064
ref
nil
61
ref
1084
remove
nil
cons
cons
nil
cons
nil
cons
cons
67
ref
subst
nil
90
ref
1071
ref
nil
cons
1087
def
cons
1088
def
91
ref
1083
ref
nil
cons
1089
def
cons
1090
def
nil
cons
cons
nil
cons
cons
986
ref
subst
nil
1088
ref
91
ref
39
ref
1083
ref
appTerm
1091
def
50
ref
appTerm
1092
def
nil
cons
1093
def
cons
nil
cons
cons
nil
cons
cons
1094
def
109
ref
subst
1094
remove
160
ref
subst
1076
ref
refl
1095
def
1077
ref
nil
1066
ref
1080
ref
nil
cons
cons
nil
cons
nil
cons
cons
nil
61
ref
1069
ref
nil
cons
1096
def
cons
nil
cons
nil
cons
cons
1097
def
67
ref
subst
1098
def
1070
ref
1068
ref
appTerm
1099
def
betaConv
nil
1088
ref
91
ref
1099
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
152
ref
subst
"A"
1060
ref
nil
cons
cons
nil
cons
1100
def
"P"
1061
remove
var
1101
def
1070
ref
nil
cons
cons
1102
def
"x"
1060
ref
var
1068
ref
nil
cons
1103
def
cons
nil
cons
1104
def
cons
nil
cons
cons
162
ref
subst
eqMp
eqMp
eqMp
subst
absThm
appThm
705
ref
"A"
1073
ref
nil
cons
1105
def
cons
nil
cons
1106
def
35
ref
cons
1107
def
61
ref
39
ref
43
ref
49
ref
63
ref
absTerm
appTerm
appTerm
63
ref
appTerm
absTerm
1108
def
63
ref
appTerm
1109
def
betaConv
nil
230
ref
1108
ref
appTerm
1110
def
axiom
nil
90
ref
1110
remove
nil
cons
cons
91
ref
1109
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
152
ref
subst
proveHyp
251
ref
252
ref
1108
remove
nil
cons
cons
284
ref
cons
nil
cons
cons
162
ref
subst
eqMp
eqMp
1111
def
subst
subst
1112
def
trans
eqMp
nil
128
ref
1087
ref
cons
130
ref
1093
remove
cons
nil
cons
cons
nil
cons
cons
144
ref
subst
deductAntisym
eqMp
nil
90
ref
92
ref
1071
ref
appTerm
1113
def
1092
remove
appTerm
nil
cons
cons
91
ref
39
ref
1113
ref
1083
ref
appTerm
1114
def
appTerm
1115
def
1113
ref
50
ref
appTerm
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
152
ref
subst
proveHyp
nil
"q'"
7
ref
var
1116
def
704
remove
cons
nil
cons
nil
cons
cons
1117
def
1071
ref
refl
nil
90
ref
1072
ref
1071
ref
appTerm
nil
cons
cons
91
ref
92
ref
1113
ref
1091
remove
1116
ref
varTerm
1118
def
appTerm
1119
def
appTerm
appTerm
1115
ref
1113
remove
1118
ref
appTerm
appTerm
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
152
ref
subst
proveHyp
nil
"p'"
7
ref
var
1120
def
1087
ref
cons
nil
cons
nil
cons
cons
1116
ref
92
ref
1072
remove
1120
ref
varTerm
1121
def
appTerm
appTerm
92
ref
92
ref
1121
ref
appTerm
1122
def
1119
remove
appTerm
appTerm
1115
remove
1122
ref
1118
ref
appTerm
1123
def
appTerm
appTerm
appTerm
absTerm
1124
def
1118
ref
appTerm
1125
def
betaConv
1120
ref
230
ref
1124
ref
appTerm
1126
def
absTerm
1127
def
1121
ref
appTerm
1128
def
betaConv
nil
1090
remove
1088
remove
nil
cons
cons
nil
cons
cons
nil
252
ref
1120
ref
230
ref
1116
ref
92
ref
239
remove
1121
ref
appTerm
1129
def
appTerm
92
ref
1122
ref
39
ref
95
ref
appTerm
1118
ref
appTerm
1130
def
appTerm
1131
def
appTerm
97
remove
1123
ref
appTerm
1132
def
appTerm
1133
def
appTerm
1134
def
absTerm
1135
def
appTerm
1136
def
absTerm
nil
cons
cons
nil
cons
nil
cons
cons
292
ref
59
ref
subst
1137
def
subst
1120
ref
nil
61
ref
1136
remove
nil
cons
cons
nil
cons
nil
cons
cons
67
ref
subst
nil
252
ref
1135
remove
nil
cons
cons
nil
cons
nil
cons
cons
1137
ref
subst
1116
ref
nil
61
ref
1134
remove
nil
cons
cons
nil
cons
nil
cons
cons
67
ref
subst
nil
90
ref
1129
remove
nil
cons
1138
def
cons
1139
def
91
ref
1133
remove
nil
cons
1140
def
cons
nil
cons
cons
nil
cons
cons
1141
def
109
ref
subst
1141
remove
160
ref
subst
nil
90
ref
1131
ref
nil
cons
1142
def
cons
91
ref
1132
remove
nil
cons
1143
def
cons
nil
cons
cons
nil
cons
cons
1144
def
109
ref
subst
1144
remove
160
ref
subst
nil
975
ref
91
ref
1123
ref
nil
cons
1145
def
cons
nil
cons
cons
nil
cons
cons
1146
def
986
ref
subst
1146
ref
109
ref
subst
1146
remove
160
ref
subst
nil
90
ref
1121
ref
nil
cons
1147
def
cons
1148
def
91
ref
1118
ref
nil
cons
1149
def
cons
nil
cons
1150
def
cons
nil
cons
cons
1151
def
109
ref
subst
1151
ref
160
ref
subst
nil
1139
ref
91
ref
94
remove
1121
ref
appTerm
1152
def
nil
cons
1153
def
cons
nil
cons
cons
nil
cons
cons
152
ref
subst
nil
90
ref
121
remove
cons
1154
def
91
ref
1147
ref
cons
nil
cons
cons
nil
cons
cons
1155
def
250
ref
subst
eqMp
1156
def
nil
90
ref
1153
ref
cons
1157
def
1150
ref
cons
nil
cons
cons
1158
def
152
ref
subst
proveHyp
nil
1139
remove
91
ref
1122
ref
93
ref
appTerm
1159
def
nil
cons
1160
def
cons
nil
cons
cons
nil
cons
cons
152
ref
subst
1155
ref
nil
242
remove
977
remove
cons
nil
cons
cons
1161
def
109
ref
subst
1161
remove
160
ref
subst
981
remove
eqMp
nil
248
remove
984
remove
cons
nil
cons
cons
144
ref
subst
deductAntisym
eqMp
1162
def
subst
eqMp
1163
def
nil
90
ref
1160
ref
cons
1164
def
91
ref
92
ref
1152
ref
appTerm
1165
def
1118
ref
appTerm
nil
cons
1166
def
cons
nil
cons
cons
nil
cons
cons
1167
def
152
ref
subst
proveHyp
1167
ref
109
ref
subst
1167
remove
160
ref
subst
1158
ref
109
ref
subst
1158
remove
160
ref
subst
nil
1148
ref
982
remove
cons
nil
cons
cons
152
ref
subst
1159
remove
assume
eqMp
1168
def
1155
remove
152
ref
subst
1152
remove
assume
eqMp
1169
def
1168
remove
proveHyp
proveHyp
nil
1148
remove
91
ref
1130
remove
nil
cons
1170
def
cons
nil
cons
cons
nil
cons
cons
152
ref
subst
1131
remove
assume
eqMp
1171
def
nil
90
ref
1170
remove
cons
1172
def
91
ref
463
remove
1118
ref
appTerm
1173
def
nil
cons
1174
def
cons
nil
cons
cons
nil
cons
cons
152
ref
subst
proveHyp
nil
978
ref
1150
ref
cons
nil
cons
cons
1175
def
250
remove
subst
eqMp
1176
def
nil
90
ref
1174
ref
cons
1177
def
1150
remove
cons
nil
cons
cons
1178
def
152
ref
subst
proveHyp
1171
remove
nil
1172
remove
91
ref
92
ref
1118
ref
appTerm
95
ref
appTerm
1179
def
nil
cons
1180
def
cons
nil
cons
cons
nil
cons
cons
152
ref
subst
proveHyp
1175
ref
1162
remove
subst
eqMp
1181
def
nil
90
ref
1180
ref
cons
1182
def
91
ref
92
ref
1173
ref
appTerm
1183
def
1118
ref
appTerm
nil
cons
1184
def
cons
nil
cons
cons
nil
cons
cons
1185
def
152
ref
subst
proveHyp
1185
ref
109
ref
subst
1185
remove
160
ref
subst
1178
ref
109
ref
subst
1178
remove
160
ref
subst
151
ref
1175
remove
152
ref
subst
1173
remove
assume
eqMp
proveHyp
eqMp
nil
128
ref
1174
remove
cons
1186
def
130
ref
1149
ref
cons
nil
cons
1187
def
cons
nil
cons
cons
144
ref
subst
deductAntisym
eqMp
eqMp
nil
128
ref
1180
remove
cons
1188
def
130
ref
1184
remove
cons
nil
cons
cons
nil
cons
cons
144
ref
subst
deductAntisym
eqMp
eqMp
eqMp
proveHyp
eqMp
nil
128
ref
1153
remove
cons
1189
def
1187
ref
cons
nil
cons
cons
144
ref
subst
deductAntisym
eqMp
eqMp
nil
128
ref
1160
remove
cons
1190
def
130
ref
1166
remove
cons
nil
cons
cons
nil
cons
cons
144
ref
subst
deductAntisym
eqMp
eqMp
eqMp
eqMp
nil
128
ref
1147
ref
cons
1187
remove
cons
nil
cons
cons
144
ref
subst
deductAntisym
eqMp
eqMp
nil
983
ref
130
ref
1145
ref
cons
nil
cons
cons
nil
cons
cons
144
ref
subst
deductAntisym
eqMp
nil
90
ref
92
ref
96
ref
appTerm
1123
ref
appTerm
nil
cons
cons
91
ref
92
ref
1123
ref
appTerm
96
remove
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
160
ref
subst
proveHyp
nil
90
ref
1145
ref
cons
244
remove
cons
nil
cons
cons
1191
def
109
ref
subst
1191
remove
160
ref
subst
109
ref
160
ref
1156
remove
nil
1157
remove
979
ref
cons
nil
cons
cons
1192
def
152
ref
subst
proveHyp
1163
remove
nil
1164
remove
91
ref
1165
remove
95
ref
appTerm
nil
cons
1193
def
cons
nil
cons
cons
nil
cons
cons
1194
def
152
ref
subst
proveHyp
1194
ref
109
ref
subst
1194
remove
160
ref
subst
1192
ref
109
ref
subst
1192
remove
160
ref
subst
1169
remove
1176
remove
nil
1177
remove
979
ref
cons
nil
cons
cons
1195
def
152
ref
subst
proveHyp
1181
remove
nil
1182
remove
91
ref
1183
remove
95
ref
appTerm
nil
cons
1196
def
cons
nil
cons
cons
nil
cons
cons
1197
def
152
ref
subst
proveHyp
1197
ref
109
ref
subst
1197
remove
160
ref
subst
1195
ref
109
ref
subst
1195
remove
160
ref
subst
1151
remove
152
ref
subst
1123
ref
assume
eqMp
nil
90
ref
1149
ref
cons
979
remove
cons
nil
cons
cons
152
ref
subst
1179
remove
assume
eqMp
proveHyp
eqMp
nil
1186
remove
131
ref
cons
nil
cons
cons
144
ref
subst
deductAntisym
eqMp
eqMp
nil
1188
remove
130
ref
1196
remove
cons
nil
cons
cons
nil
cons
cons
144
ref
subst
deductAntisym
eqMp
eqMp
eqMp
proveHyp
eqMp
nil
1189
remove
131
remove
cons
nil
cons
cons
144
ref
subst
deductAntisym
eqMp
eqMp
nil
1190
remove
130
ref
1193
remove
cons
nil
cons
cons
nil
cons
cons
144
ref
subst
deductAntisym
eqMp
eqMp
eqMp
eqMp
145
remove
deductAntisym
eqMp
eqMp
nil
128
ref
1145
remove
cons
249
remove
cons
nil
cons
cons
144
ref
subst
deductAntisym
eqMp
eqMp
eqMp
eqMp
nil
128
ref
1142
remove
cons
130
ref
1143
remove
cons
nil
cons
cons
nil
cons
cons
144
ref
subst
deductAntisym
eqMp
eqMp
nil
128
ref
1138
remove
cons
130
ref
1140
remove
cons
nil
cons
cons
nil
cons
cons
144
ref
subst
deductAntisym
eqMp
eqMp
absThm
eqMp
eqMp
absThm
eqMp
1198
def
subst
nil
90
ref
230
ref
1127
ref
appTerm
nil
cons
cons
91
ref
1128
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
152
ref
subst
proveHyp
251
ref
252
ref
1127
remove
nil
cons
cons
253
ref
1147
remove
cons
nil
cons
1199
def
cons
nil
cons
cons
162
ref
subst
eqMp
eqMp
nil
90
ref
1126
remove
nil
cons
cons
91
ref
1125
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
152
ref
subst
proveHyp
251
ref
252
ref
1124
remove
nil
cons
cons
253
ref
1149
remove
cons
nil
cons
1200
def
cons
nil
cons
cons
162
ref
subst
eqMp
eqMp
subst
eqMp
subst
eqMp
nil
61
ref
1087
ref
cons
nil
cons
nil
cons
cons
702
ref
subst
trans
sym
66
ref
eqMp
nil
90
ref
1114
remove
nil
cons
cons
91
ref
92
ref
1083
remove
appTerm
1071
remove
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
160
ref
subst
proveHyp
nil
90
ref
1089
ref
cons
1201
def
91
ref
1087
ref
cons
nil
cons
cons
nil
cons
cons
1202
def
109
ref
subst
1202
remove
160
ref
subst
nil
1102
remove
nil
cons
nil
cons
cons
1100
ref
35
ref
cons
1203
def
59
ref
subst
1204
def
subst
1066
ref
1098
ref
1082
ref
"select"
const
1205
def
0
ref
1074
ref
1105
remove
cons
opType
constTerm
1206
def
1077
ref
43
ref
70
ref
189
ref
74
ref
12
ref
0
ref
1055
ref
0
ref
1055
ref
8
ref
cons
opType
1207
def
nil
cons
1208
def
cons
opType
constTerm
1209
def
1079
ref
appTerm
1068
ref
76
ref
appTerm
1210
def
78
ref
appTerm
1211
def
appTerm
absTerm
appTerm
absTerm
appTerm
absTerm
appTerm
1212
def
appTerm
1213
def
betaConv
nil
1201
remove
91
ref
1213
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
152
ref
subst
1106
ref
"P"
1074
ref
var
1214
def
1082
ref
nil
cons
1215
def
cons
"x"
1073
ref
var
1216
def
1212
ref
nil
cons
cons
nil
cons
cons
nil
cons
cons
162
ref
subst
eqMp
eqMp
nil
90
ref
1067
ref
70
ref
74
ref
1212
ref
79
ref
appTerm
absTerm
absTerm
appTerm
1217
def
nil
cons
cons
1218
def
91
ref
1096
ref
cons
1219
def
nil
cons
cons
nil
cons
cons
152
ref
subst
proveHyp
nil
90
ref
1096
ref
cons
91
ref
39
ref
1069
ref
appTerm
1220
def
50
ref
appTerm
1221
def
nil
cons
1222
def
cons
nil
cons
cons
nil
cons
cons
1223
def
109
ref
subst
1223
remove
160
ref
subst
1098
remove
1069
ref
assume
eqMp
eqMp
nil
128
ref
1096
ref
cons
130
ref
1222
remove
cons
nil
cons
cons
nil
cons
cons
144
ref
subst
deductAntisym
eqMp
nil
90
ref
92
ref
1069
ref
appTerm
1224
def
1221
remove
appTerm
nil
cons
cons
91
ref
39
ref
92
ref
1217
ref
appTerm
1069
ref
appTerm
appTerm
1225
def
1224
ref
50
ref
appTerm
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
152
ref
subst
proveHyp
1117
ref
1067
remove
refl
70
ref
74
ref
74
ref
1209
ref
1206
ref
"_1480"
1073
ref
var
1226
def
43
ref
70
ref
189
ref
74
ref
1209
ref
1226
remove
varTerm
79
ref
appTerm
appTerm
1211
ref
appTerm
absTerm
appTerm
absTerm
appTerm
absTerm
1227
def
appTerm
1228
def
79
ref
appTerm
appTerm
1211
ref
appTerm
absTerm
1229
def
78
ref
appTerm
1230
def
betaConv
70
ref
189
ref
1229
ref
appTerm
1231
def
absTerm
1232
def
76
ref
appTerm
1233
def
betaConv
1227
ref
1228
remove
appTerm
1234
def
betaConv
"fn"
1073
ref
var
1235
def
43
ref
70
ref
189
ref
74
ref
1209
ref
1235
ref
varTerm
1236
def
79
ref
appTerm
appTerm
1237
def
1211
ref
appTerm
absTerm
appTerm
absTerm
appTerm
absTerm
1238
def
11
ref
1068
ref
23
ref
appTerm
27
ref
appTerm
absTerm
1239
def
appTerm
betaConv
sym
313
ref
70
ref
490
ref
74
ref
1209
ref
refl
1240
def
1239
ref
79
ref
appTerm
betaConv
1241
def
1068
ref
refl
200
ref
appThm
209
ref
appThm
1242
def
trans
appThm
1211
ref
refl
appThm
nil
"x"
1055
ref
var
1243
def
1211
remove
nil
cons
cons
nil
cons
nil
cons
cons
"A"
1056
ref
cons
1244
def
nil
cons
1245
def
35
ref
cons
1246
def
294
ref
subst
1247
def
subst
trans
absThm
appThm
705
ref
173
ref
1111
ref
subst
subst
1248
def
trans
absThm
appThm
705
ref
1111
ref
subst
1249
def
trans
sym
66
ref
eqMp
eqMp
1106
ref
1214
ref
1238
ref
nil
cons
cons
1216
ref
1239
ref
nil
cons
cons
nil
cons
cons
nil
cons
cons
238
remove
sym
nil
252
ref
130
ref
92
ref
215
ref
appTerm
1250
def
135
ref
appTerm
1251
def
absTerm
nil
cons
cons
nil
cons
nil
cons
cons
1137
remove
subst
130
ref
nil
61
ref
1251
remove
nil
cons
cons
nil
cons
nil
cons
cons
67
ref
subst
227
ref
109
ref
subst
227
remove
160
ref
subst
nil
90
ref
158
ref
cons
225
ref
cons
nil
cons
cons
1252
def
152
ref
subst
1253
def
214
ref
156
ref
appTerm
1254
def
betaConv
nil
217
ref
91
ref
1254
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
152
ref
subst
195
ref
44
ref
214
remove
nil
cons
cons
1255
def
49
ref
156
ref
nil
cons
1256
def
cons
nil
cons
1257
def
cons
nil
cons
cons
162
ref
subst
eqMp
eqMp
1258
def
eqMp
eqMp
nil
255
ref
254
ref
cons
nil
cons
cons
144
ref
subst
deductAntisym
eqMp
eqMp
absThm
eqMp
eqMp
1259
def
subst
proveHyp
1260
def
nil
90
ref
68
ref
1075
ref
constTerm
1261
def
1227
ref
appTerm
nil
cons
cons
91
ref
1234
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
152
ref
subst
proveHyp
nil
"p"
1074
ref
var
1262
def
1227
remove
nil
cons
cons
nil
cons
nil
cons
cons
1107
ref
nil
90
ref
69
ref
48
ref
appTerm
1263
def
nil
cons
1264
def
cons
1265
def
91
ref
39
ref
48
ref
1205
ref
0
ref
41
ref
19
ref
cons
opType
constTerm
48
ref
appTerm
appTerm
1266
def
appTerm
1267
def
50
ref
appTerm
1268
def
nil
cons
1269
def
cons
nil
cons
1270
def
cons
nil
cons
cons
1271
def
109
ref
subst
1271
remove
160
ref
subst
475
ref
nil
314
remove
354
ref
cons
nil
cons
nil
cons
cons
318
remove
332
ref
323
remove
appTerm
1272
def
betaConv
334
remove
nil
90
ref
333
remove
nil
cons
cons
91
ref
1272
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
152
ref
subst
proveHyp
336
ref
337
ref
332
remove
nil
cons
cons
339
remove
cons
nil
cons
cons
162
ref
subst
eqMp
eqMp
1273
def
subst
subst
appThm
1274
def
nil
61
ref
1264
ref
cons
nil
cons
nil
cons
cons
1275
def
67
ref
subst
1263
ref
assume
eqMp
trans
sym
66
ref
eqMp
nil
90
ref
510
ref
nil
cons
cons
1276
def
1270
ref
cons
nil
cons
cons
152
ref
subst
proveHyp
nil
44
ref
354
ref
cons
130
ref
1269
remove
cons
nil
cons
1277
def
cons
nil
cons
cons
nil
217
remove
91
ref
92
ref
69
ref
49
ref
157
ref
absTerm
1278
def
appTerm
1279
def
appTerm
135
ref
appTerm
1280
def
nil
cons
1281
def
cons
nil
cons
1282
def
cons
nil
cons
cons
1283
def
986
ref
subst
1283
ref
109
ref
subst
1283
remove
160
ref
subst
nil
44
ref
49
ref
92
ref
1278
ref
156
ref
appTerm
1284
def
appTerm
135
remove
appTerm
1285
def
absTerm
1286
def
nil
cons
cons
nil
cons
nil
cons
cons
59
ref
subst
49
ref
nil
61
ref
1285
remove
nil
cons
cons
nil
cons
nil
cons
cons
67
ref
subst
nil
90
ref
1284
ref
nil
cons
1287
def
cons
225
ref
cons
nil
cons
cons
1288
def
109
ref
subst
1288
remove
160
ref
subst
nil
"f"
41
remove
var
315
ref
cons
954
ref
1256
ref
cons
nil
cons
cons
nil
cons
cons
316
remove
195
ref
cons
35
ref
cons
954
ref
202
ref
49
ref
"f"
319
ref
var
1289
def
varTerm
1290
def
156
ref
appTerm
1291
def
absTerm
955
ref
appTerm
appTerm
1290
ref
955
ref
appTerm
appTerm
absTerm
1292
def
955
ref
appTerm
1293
def
betaConv
1289
ref
43
ref
1292
ref
appTerm
1294
def
absTerm
1295
def
1290
ref
appTerm
1296
def
betaConv
nil
329
ref
1295
ref
appTerm
1297
def
axiom
nil
90
ref
1297
remove
nil
cons
cons
91
ref
1296
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
152
ref
subst
proveHyp
336
ref
337
ref
1295
remove
nil
cons
cons
338
ref
1290
ref
nil
cons
cons
nil
cons
1298
def
cons
nil
cons
cons
162
ref
subst
eqMp
eqMp
nil
90
ref
1294
remove
nil
cons
cons
91
ref
1293
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
152
ref
subst
proveHyp
195
ref
44
ref
1292
remove
nil
cons
cons
995
ref
cons
nil
cons
cons
162
ref
subst
eqMp
eqMp
1299
def
subst
subst
1300
def
1284
remove
assume
eqMp
1253
remove
proveHyp
1258
remove
eqMp
eqMp
nil
128
ref
1287
remove
cons
254
ref
cons
nil
cons
cons
144
ref
subst
deductAntisym
eqMp
eqMp
absThm
eqMp
nil
90
ref
43
ref
1286
remove
appTerm
nil
cons
cons
1282
remove
cons
nil
cons
cons
152
ref
subst
proveHyp
195
ref
44
ref
1278
remove
nil
cons
cons
1301
def
254
ref
cons
nil
cons
cons
256
ref
subst
eqMp
eqMp
nil
255
remove
130
ref
1281
ref
cons
nil
cons
cons
nil
cons
cons
144
ref
subst
deductAntisym
eqMp
nil
90
ref
1250
remove
1280
ref
appTerm
nil
cons
cons
91
ref
92
ref
1280
ref
appTerm
215
remove
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
160
ref
subst
proveHyp
nil
90
ref
1281
ref
cons
91
ref
216
ref
cons
nil
cons
cons
nil
cons
cons
1302
def
109
ref
subst
1302
remove
160
ref
subst
nil
1255
remove
nil
cons
nil
cons
cons
59
ref
subst
49
ref
nil
61
ref
213
remove
nil
cons
cons
nil
cons
nil
cons
cons
67
ref
subst
1252
ref
109
ref
subst
1252
remove
160
ref
subst
1300
remove
sym
157
remove
assume
eqMp
195
ref
1301
remove
1257
ref
cons
nil
cons
cons
1259
ref
subst
proveHyp
nil
90
ref
1279
remove
nil
cons
cons
225
remove
cons
nil
cons
cons
152
ref
subst
1280
remove
assume
eqMp
proveHyp
eqMp
nil
128
ref
158
remove
cons
254
remove
cons
nil
cons
cons
144
ref
subst
deductAntisym
eqMp
eqMp
absThm
eqMp
eqMp
nil
128
ref
1281
remove
cons
130
ref
216
remove
cons
nil
cons
cons
nil
cons
cons
144
ref
subst
deductAntisym
eqMp
eqMp
eqMp
subst
nil
44
ref
49
ref
236
ref
1268
ref
appTerm
1303
def
absTerm
nil
cons
cons
nil
cons
nil
cons
cons
59
ref
subst
49
ref
nil
61
ref
1303
remove
nil
cons
cons
nil
cons
nil
cons
cons
67
ref
subst
nil
90
ref
235
ref
nil
cons
1304
def
cons
1305
def
1270
remove
cons
nil
cons
cons
1306
def
109
ref
subst
1306
remove
160
ref
subst
nil
61
ref
1266
ref
nil
cons
1307
def
cons
nil
cons
nil
cons
cons
67
ref
subst
nil
1305
ref
91
ref
1307
remove
cons
1308
def
nil
cons
cons
nil
cons
cons
152
ref
subst
49
ref
236
remove
1266
ref
appTerm
absTerm
1309
def
156
ref
appTerm
1310
def
betaConv
47
ref
43
ref
1309
ref
appTerm
1311
def
absTerm
1312
def
48
ref
appTerm
1313
def
betaConv
nil
349
ref
1312
ref
appTerm
1314
def
axiom
1315
def
nil
90
ref
1314
remove
nil
cons
cons
1316
def
91
ref
1313
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
152
ref
subst
proveHyp
351
ref
352
ref
1312
ref
nil
cons
cons
1317
def
355
ref
cons
nil
cons
cons
162
ref
subst
eqMp
eqMp
nil
90
ref
1311
remove
nil
cons
cons
91
ref
1310
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
152
ref
subst
proveHyp
195
ref
44
ref
1309
remove
nil
cons
cons
1257
ref
cons
nil
cons
cons
162
ref
subst
eqMp
eqMp
eqMp
eqMp
eqMp
nil
128
ref
1304
ref
cons
1318
def
1277
ref
cons
nil
cons
cons
144
ref
subst
deductAntisym
eqMp
eqMp
absThm
eqMp
eqMp
eqMp
eqMp
nil
128
ref
1264
ref
cons
1277
remove
cons
nil
cons
cons
144
ref
subst
deductAntisym
eqMp
nil
90
ref
92
ref
1263
ref
appTerm
1319
def
1268
remove
appTerm
nil
cons
cons
91
ref
39
ref
1319
ref
1266
remove
appTerm
appTerm
1320
def
1319
ref
50
ref
appTerm
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
152
ref
subst
proveHyp
1117
remove
1263
ref
refl
nil
90
ref
39
ref
1263
ref
appTerm
1321
def
1263
ref
appTerm
nil
cons
cons
91
ref
92
ref
1319
ref
1267
remove
1118
ref
appTerm
1322
def
appTerm
appTerm
1320
ref
1319
remove
1118
ref
appTerm
appTerm
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
152
ref
subst
proveHyp
nil
1120
ref
1264
remove
cons
nil
cons
nil
cons
cons
1116
ref
92
ref
1321
remove
1121
ref
appTerm
appTerm
92
ref
1122
ref
1322
remove
appTerm
appTerm
1320
remove
1123
ref
appTerm
appTerm
appTerm
absTerm
1323
def
1118
ref
appTerm
1324
def
betaConv
1120
ref
230
ref
1323
ref
appTerm
1325
def
absTerm
1326
def
1121
ref
appTerm
1327
def
betaConv
nil
1308
remove
1265
remove
nil
cons
cons
nil
cons
cons
1198
ref
subst
nil
90
ref
230
ref
1326
ref
appTerm
nil
cons
cons
91
ref
1327
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
152
ref
subst
proveHyp
251
ref
252
ref
1326
remove
nil
cons
cons
1199
ref
cons
nil
cons
cons
162
ref
subst
eqMp
eqMp
nil
90
ref
1325
remove
nil
cons
cons
91
ref
1324
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
152
ref
subst
proveHyp
251
ref
252
ref
1323
remove
nil
cons
cons
1200
ref
cons
nil
cons
cons
162
ref
subst
eqMp
eqMp
subst
eqMp
subst
eqMp
1275
remove
702
ref
subst
trans
sym
66
ref
eqMp
1328
def
subst
1329
def
subst
eqMp
eqMp
nil
90
ref
43
ref
1232
ref
appTerm
nil
cons
cons
91
ref
1233
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
152
ref
subst
proveHyp
195
ref
44
ref
1232
remove
nil
cons
cons
196
ref
cons
nil
cons
cons
162
ref
subst
eqMp
eqMp
nil
90
ref
1231
remove
nil
cons
cons
91
ref
1230
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
152
ref
subst
proveHyp
172
ref
168
ref
1229
remove
nil
cons
cons
199
ref
cons
nil
cons
cons
162
ref
subst
eqMp
eqMp
absThm
nil
"t"
1058
ref
var
1210
remove
nil
cons
cons
nil
cons
nil
cons
cons
171
ref
"B"
1056
ref
cons
1330
def
nil
cons
1331
def
cons
35
ref
cons
1332
def
1273
ref
subst
subst
trans
absThm
nil
"t"
1060
ref
var
1103
remove
cons
nil
cons
nil
cons
cons
194
ref
"B"
1059
remove
cons
nil
cons
cons
35
ref
cons
1273
ref
subst
subst
trans
appThm
nil
90
ref
39
ref
1217
remove
appTerm
1333
def
1069
ref
appTerm
nil
cons
cons
91
ref
92
ref
1224
ref
1220
remove
1118
ref
appTerm
1334
def
appTerm
appTerm
1225
ref
1224
remove
1118
ref
appTerm
appTerm
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
152
ref
subst
proveHyp
nil
1120
ref
1096
remove
cons
nil
cons
nil
cons
cons
1116
remove
92
ref
1333
remove
1121
ref
appTerm
appTerm
92
ref
1122
remove
1334
remove
appTerm
appTerm
1225
remove
1123
remove
appTerm
appTerm
appTerm
absTerm
1335
def
1118
remove
appTerm
1336
def
betaConv
1120
remove
230
ref
1335
ref
appTerm
1337
def
absTerm
1338
def
1121
remove
appTerm
1339
def
betaConv
nil
1219
remove
1218
remove
nil
cons
cons
nil
cons
cons
1198
remove
subst
nil
90
ref
230
ref
1338
ref
appTerm
nil
cons
cons
91
ref
1339
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
152
ref
subst
proveHyp
251
ref
252
ref
1338
remove
nil
cons
cons
1199
remove
cons
nil
cons
cons
162
ref
subst
eqMp
eqMp
nil
90
ref
1337
remove
nil
cons
cons
91
ref
1336
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
152
ref
subst
proveHyp
251
ref
252
ref
1335
remove
nil
cons
cons
1200
remove
cons
nil
cons
cons
162
ref
subst
eqMp
eqMp
subst
eqMp
subst
eqMp
1097
remove
702
remove
subst
trans
sym
66
ref
eqMp
eqMp
eqMp
absThm
eqMp
eqMp
nil
128
ref
1089
remove
cons
130
ref
1087
remove
cons
nil
cons
cons
nil
cons
cons
144
ref
subst
deductAntisym
eqMp
eqMp
eqMp
1340
def
eqMp
absThm
eqMp
nil
40
ref
0
ref
1062
ref
8
ref
cons
opType
constTerm
1341
def
1085
remove
appTerm
thm
nil
1063
remove
1064
ref
39
ref
68
ref
1062
remove
constTerm
1342
def
1070
remove
appTerm
1343
def
appTerm
1261
ref
1082
ref
appTerm
1344
def
appTerm
1345
def
absTerm
1346
def
nil
cons
cons
nil
cons
nil
cons
cons
1086
remove
subst
1064
ref
nil
61
ref
1345
remove
nil
cons
1347
def
cons
nil
cons
nil
cons
cons
67
ref
subst
132
ref
1203
ref
866
ref
subst
132
ref
1065
ref
refl
1348
def
1066
ref
1066
ref
275
ref
1069
remove
appTerm
absTerm
1349
def
1068
ref
appTerm
betaConv
absThm
appThm
appThm
1095
ref
1077
ref
1349
ref
1080
ref
appTerm
betaConv
absThm
appThm
appThm
nil
1064
ref
1349
remove
nil
cons
cons
nil
cons
nil
cons
cons
1340
ref
subst
eqMp
trans
appThm
132
ref
312
ref
1261
ref
refl
1350
def
1077
ref
1082
remove
1078
ref
appTerm
betaConv
1351
def
absThm
appThm
appThm
appThm
1095
ref
1077
ref
312
ref
1351
remove
appThm
absThm
appThm
appThm
nil
1262
ref
1215
remove
cons
nil
cons
nil
cons
cons
1107
ref
866
ref
subst
subst
eqMp
appThm
nil
253
ref
1076
ref
1077
ref
275
ref
1081
remove
appTerm
absTerm
appTerm
nil
cons
cons
nil
cons
nil
cons
cons
295
ref
subst
trans
sym
66
ref
eqMp
nil
90
ref
39
ref
275
ref
1343
ref
appTerm
appTerm
275
ref
1344
ref
appTerm
appTerm
nil
cons
cons
91
ref
1347
remove
cons
nil
cons
cons
nil
cons
cons
152
ref
subst
proveHyp
nil
"y"
7
ref
var
1352
def
1344
remove
nil
cons
cons
253
ref
1343
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
nil
90
ref
39
ref
253
ref
varTerm
1353
def
appTerm
1354
def
279
ref
appTerm
1355
def
nil
cons
1356
def
cons
91
ref
92
ref
39
ref
275
ref
1353
ref
appTerm
appTerm
275
ref
1352
ref
varTerm
1357
def
appTerm
1358
def
appTerm
appTerm
1354
ref
1357
ref
appTerm
appTerm
nil
cons
1359
def
cons
nil
cons
1360
def
cons
nil
cons
cons
1361
def
109
ref
subst
1361
remove
160
ref
subst
39
ref
"_1484"
7
ref
var
1362
def
92
ref
39
ref
275
ref
1362
remove
varTerm
1363
def
appTerm
appTerm
1358
ref
appTerm
appTerm
39
ref
1363
remove
appTerm
1357
ref
appTerm
appTerm
absTerm
1364
def
1353
ref
appTerm
1365
def
appTerm
refl
1366
def
1364
ref
279
ref
appTerm
betaConv
appThm
132
ref
1365
remove
betaConv
appThm
1367
def
92
ref
401
ref
1358
ref
appTerm
appTerm
380
remove
1357
ref
appTerm
appTerm
refl
appThm
trans
1364
remove
refl
1368
def
1355
remove
assume
appThm
eqMp
sym
713
ref
132
ref
402
remove
appThm
1369
def
1358
ref
refl
1370
def
appThm
nil
61
ref
1358
ref
nil
cons
cons
nil
cons
nil
cons
cons
1371
def
431
ref
subst
trans
appThm
nil
61
ref
1357
ref
nil
cons
cons
nil
cons
nil
cons
cons
1372
def
390
ref
subst
appThm
1371
ref
827
ref
subst
trans
sym
66
ref
eqMp
eqMp
eqMp
nil
128
ref
1356
ref
cons
130
ref
1359
ref
cons
nil
cons
1373
def
cons
nil
cons
cons
144
ref
subst
deductAntisym
eqMp
nil
90
ref
1354
remove
50
ref
appTerm
1374
def
nil
cons
1375
def
cons
1360
remove
cons
nil
cons
cons
1376
def
109
ref
subst
1376
remove
160
ref
subst
1366
remove
"_1482"
7
ref
var
1377
def
92
ref
39
ref
275
ref
1377
remove
varTerm
1378
def
appTerm
appTerm
1358
ref
appTerm
appTerm
39
ref
1378
remove
appTerm
1357
ref
appTerm
appTerm
absTerm
50
ref
appTerm
betaConv
appThm
1367
remove
92
ref
433
ref
1358
remove
appTerm
appTerm
423
remove
1357
remove
appTerm
appTerm
refl
appThm
trans
1368
remove
1374
remove
assume
appThm
eqMp
sym
713
ref
132
ref
434
remove
appThm
1379
def
1370
remove
appThm
1371
remove
390
ref
subst
1372
ref
289
ref
subst
trans
trans
appThm
1372
ref
431
ref
subst
appThm
1372
remove
827
ref
subst
trans
sym
66
ref
eqMp
eqMp
eqMp
nil
128
ref
1375
remove
cons
1380
def
1373
remove
cons
nil
cons
cons
144
ref
subst
deductAntisym
eqMp
442
remove
1353
ref
appTerm
1381
def
betaConv
445
remove
nil
446
remove
91
ref
1381
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
152
ref
subst
proveHyp
251
ref
447
remove
253
ref
1353
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
162
ref
subst
eqMp
eqMp
nil
1380
remove
130
ref
1356
remove
cons
450
ref
1359
remove
cons
nil
cons
cons
cons
nil
cons
cons
469
ref
subst
proveHyp
proveHyp
proveHyp
subst
eqMp
1382
def
eqMp
absThm
eqMp
nil
1341
remove
1346
remove
appTerm
thm
nil
1101
ref
1066
ref
1261
ref
1238
remove
appTerm
1383
def
absTerm
1384
def
nil
cons
cons
nil
cons
nil
cons
cons
1204
remove
subst
1066
ref
nil
61
ref
1383
remove
nil
cons
cons
nil
cons
nil
cons
cons
67
ref
subst
1260
ref
eqMp
absThm
eqMp
nil
1065
ref
1384
remove
appTerm
thm
40
ref
0
ref
0
ref
0
ref
2
ref
201
remove
cons
opType
1385
def
8
ref
cons
opType
1386
def
8
ref
cons
opType
constTerm
1387
def
refl
1388
def
"p"
1385
ref
var
1389
def
39
ref
43
ref
49
ref
189
ref
"y"
3
ref
var
1390
def
1389
ref
varTerm
1391
def
156
ref
appTerm
1392
def
1390
ref
varTerm
1393
def
appTerm
absTerm
1394
def
appTerm
absTerm
appTerm
1395
def
appTerm
1396
def
refl
132
ref
471
ref
940
ref
940
remove
1391
ref
21
ref
946
ref
appTerm
appTerm
26
ref
946
ref
appTerm
appTerm
absTerm
1397
def
946
remove
appTerm
betaConv
absThm
1398
def
appThm
appThm
313
ref
70
ref
490
ref
74
ref
1397
ref
79
ref
appTerm
betaConv
absThm
1399
def
appThm
absThm
appThm
appThm
nil
261
ref
1397
ref
nil
cons
cons
nil
cons
nil
cons
cons
1400
def
361
remove
847
remove
nil
273
remove
91
ref
360
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
152
ref
subst
proveHyp
310
ref
309
remove
844
ref
262
ref
nil
cons
cons
nil
cons
1401
def
cons
nil
cons
cons
162
ref
subst
eqMp
eqMp
1402
def
subst
eqMp
313
ref
70
ref
490
ref
74
ref
1391
ref
refl
1403
def
200
ref
appThm
209
ref
appThm
absThm
1404
def
appThm
absThm
appThm
trans
appThm
nil
253
ref
1395
remove
nil
cons
cons
nil
cons
nil
cons
cons
295
ref
subst
trans
absThm
appThm
705
ref
"A"
1385
ref
nil
cons
cons
nil
cons
1405
def
35
ref
cons
1406
def
1111
ref
subst
subst
1407
def
trans
sym
66
ref
eqMp
nil
1387
ref
1389
ref
1396
remove
88
ref
1397
ref
appTerm
appTerm
absTerm
appTerm
thm
1388
ref
1389
ref
39
ref
69
ref
49
ref
73
ref
1394
remove
appTerm
absTerm
appTerm
1408
def
appTerm
1409
def
refl
132
ref
488
remove
1398
remove
appThm
appThm
475
ref
70
ref
481
ref
1399
remove
appThm
absThm
appThm
appThm
1400
remove
859
remove
1048
remove
nil
853
remove
91
ref
858
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
152
ref
subst
proveHyp
310
ref
857
remove
1401
remove
cons
nil
cons
cons
162
ref
subst
eqMp
eqMp
subst
eqMp
475
ref
70
ref
481
remove
1404
remove
appThm
absThm
appThm
trans
1410
def
appThm
nil
253
ref
1408
remove
nil
cons
cons
nil
cons
nil
cons
cons
295
ref
subst
trans
absThm
appThm
1407
ref
trans
sym
66
ref
eqMp
nil
1387
ref
1389
ref
1409
remove
487
ref
1397
remove
appTerm
appTerm
absTerm
appTerm
thm
nil
"P"
0
ref
0
ref
0
ref
2
ref
1
ref
1057
remove
opType
1411
def
nil
cons
1412
def
cons
1413
def
opType
1414
def
8
ref
cons
opType
1415
def
8
ref
cons
opType
1416
def
var
1417
def
"p"
1415
ref
var
1418
def
39
ref
40
ref
1416
ref
constTerm
1419
def
"f"
1414
ref
var
1420
def
1418
ref
varTerm
1421
def
1420
ref
varTerm
1422
def
appTerm
1423
def
absTerm
1424
def
appTerm
1425
def
appTerm
329
ref
"g"
319
ref
var
1426
def
40
ref
0
ref
0
ref
0
ref
2
ref
1056
ref
cons
opType
1427
def
8
ref
cons
opType
1428
def
8
ref
cons
opType
1429
def
constTerm
1430
def
"h"
1427
ref
var
1431
def
1421
ref
70
ref
15
ref
0
ref
3
ref
0
ref
1055
ref
1412
ref
cons
opType
nil
cons
cons
opType
constTerm
1432
def
1426
ref
varTerm
1433
def
76
ref
appTerm
appTerm
1431
ref
varTerm
1434
def
76
ref
appTerm
appTerm
absTerm
1435
def
appTerm
1436
def
absTerm
1437
def
appTerm
1438
def
absTerm
1439
def
appTerm
1440
def
appTerm
1441
def
absTerm
1442
def
nil
cons
cons
nil
cons
nil
cons
cons
"A"
1415
ref
nil
cons
cons
nil
cons
1443
def
35
ref
cons
1444
def
59
ref
subst
subst
1418
ref
nil
61
ref
1441
remove
nil
cons
cons
nil
cons
nil
cons
cons
67
ref
subst
nil
90
ref
1425
ref
nil
cons
1445
def
cons
1446
def
91
ref
1440
ref
nil
cons
1447
def
cons
nil
cons
cons
nil
cons
cons
1448
def
986
remove
subst
1448
ref
109
ref
subst
1448
remove
160
ref
subst
330
ref
1426
ref
1430
ref
refl
1449
def
1431
ref
nil
1420
ref
1435
ref
nil
cons
1450
def
cons
nil
cons
nil
cons
cons
nil
61
ref
1423
ref
nil
cons
cons
nil
cons
nil
cons
cons
67
ref
subst
1451
def
1424
ref
1422
ref
appTerm
1452
def
betaConv
nil
1446
remove
91
ref
1452
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
152
ref
subst
"A"
1414
ref
nil
cons
cons
nil
cons
1453
def
"P"
1415
ref
var
1424
ref
nil
cons
cons
1454
def
"x"
1414
ref
var
1422
ref
nil
cons
1455
def
cons
nil
cons
cons
nil
cons
cons
162
ref
subst
eqMp
eqMp
eqMp
subst
absThm
appThm
705
ref
"A"
1427
ref
nil
cons
1456
def
cons
1457
def
nil
cons
1458
def
35
ref
cons
1459
def
1111
ref
subst
subst
trans
absThm
appThm
705
ref
336
ref
35
ref
cons
1460
def
1111
ref
subst
subst
trans
sym
66
ref
eqMp
eqMp
nil
128
ref
1445
ref
cons
130
ref
1447
ref
cons
nil
cons
cons
nil
cons
cons
144
ref
subst
deductAntisym
eqMp
nil
90
ref
92
ref
1425
ref
appTerm
1440
ref
appTerm
nil
cons
cons
91
ref
92
ref
1440
remove
appTerm
1425
remove
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
160
ref
subst
proveHyp
nil
90
ref
1447
ref
cons
1461
def
91
ref
1445
ref
cons
nil
cons
cons
nil
cons
cons
1462
def
109
ref
subst
1462
remove
160
ref
subst
nil
1454
remove
nil
cons
nil
cons
cons
1453
remove
35
ref
cons
1463
def
59
ref
subst
subst
1420
ref
1451
remove
1421
ref
refl
1464
def
nil
"t"
1414
ref
var
1455
remove
cons
nil
cons
nil
cons
cons
194
ref
"B"
1412
ref
cons
1465
def
nil
cons
cons
35
ref
cons
1466
def
340
remove
subst
subst
appThm
sym
1464
ref
49
ref
nil
"x"
1411
ref
var
1422
ref
156
ref
appTerm
1467
def
nil
cons
cons
nil
cons
nil
cons
cons
1332
ref
1054
ref
subst
subst
absThm
appThm
sym
132
ref
1464
remove
49
ref
1432
ref
refl
49
ref
18
ref
0
ref
1411
ref
4
ref
cons
opType
1468
def
constTerm
1469
def
1467
ref
appTerm
absTerm
1470
def
156
ref
appTerm
betaConv
appThm
49
ref
24
ref
0
ref
1411
ref
1056
ref
cons
opType
1471
def
constTerm
1472
def
1467
remove
appTerm
absTerm
1473
def
156
ref
appTerm
betaConv
appThm
absThm
appThm
appThm
139
remove
appThm
nil
1426
ref
1470
remove
nil
cons
cons
1431
ref
1473
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
nil
61
ref
1436
ref
nil
cons
cons
nil
cons
nil
cons
cons
67
ref
subst
1437
ref
1434
ref
appTerm
1474
def
betaConv
1475
def
1439
ref
1433
ref
appTerm
1476
def
betaConv
nil
1461
remove
91
ref
1476
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
152
ref
subst
336
ref
337
ref
1439
remove
nil
cons
cons
338
remove
1433
ref
nil
cons
1477
def
cons
nil
cons
1478
def
cons
nil
cons
cons
162
ref
subst
eqMp
eqMp
nil
90
ref
1438
remove
nil
cons
cons
91
ref
1474
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
152
ref
subst
proveHyp
1458
remove
"P"
1428
ref
var
1437
ref
nil
cons
1479
def
cons
"x"
1427
ref
var
1434
ref
nil
cons
1480
def
cons
nil
cons
cons
nil
cons
cons
162
ref
subst
eqMp
eqMp
eqMp
subst
eqMp
sym
66
ref
eqMp
eqMp
eqMp
eqMp
absThm
eqMp
eqMp
nil
128
ref
1447
remove
cons
130
ref
1445
remove
cons
nil
cons
cons
nil
cons
cons
144
ref
subst
deductAntisym
eqMp
eqMp
eqMp
1481
def
eqMp
absThm
eqMp
nil
40
ref
0
ref
1416
ref
8
ref
cons
opType
constTerm
1482
def
1442
remove
appTerm
thm
1482
ref
refl
1483
def
1418
ref
132
ref
1463
remove
nil
90
ref
39
ref
510
remove
appTerm
275
ref
861
ref
appTerm
1484
def
appTerm
1485
def
nil
cons
cons
nil
cons
nil
cons
cons
296
ref
subst
sym
nil
90
ref
275
ref
1485
remove
appTerm
1486
def
nil
cons
1487
def
cons
300
ref
cons
nil
cons
cons
1488
def
109
ref
subst
1488
remove
160
ref
subst
nil
1276
remove
91
ref
1484
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
470
remove
subst
393
ref
400
ref
475
ref
49
ref
235
ref
refl
absThm
appThm
appThm
nil
90
ref
861
ref
nil
cons
1489
def
cons
1490
def
nil
cons
1491
def
nil
cons
cons
290
ref
subst
appThm
appThm
400
remove
866
remove
appThm
nil
44
ref
346
ref
nil
cons
cons
1492
def
nil
cons
nil
cons
cons
356
remove
subst
475
ref
49
ref
312
ref
346
ref
156
ref
appTerm
betaConv
appThm
nil
1305
ref
nil
cons
nil
cons
cons
290
remove
subst
trans
absThm
appThm
trans
appThm
appThm
trans
393
ref
nil
91
ref
1489
ref
cons
nil
cons
nil
cons
cons
543
remove
subst
appThm
nil
505
ref
354
remove
cons
1491
remove
cons
nil
cons
cons
530
remove
subst
appThm
132
ref
393
ref
475
ref
49
ref
49
ref
536
remove
861
ref
appTerm
1493
def
absTerm
1494
def
156
ref
appTerm
betaConv
1495
def
absThm
appThm
appThm
475
ref
49
ref
49
ref
98
ref
861
ref
appTerm
235
remove
appTerm
1496
def
absTerm
1497
def
156
ref
appTerm
betaConv
1498
def
absThm
appThm
appThm
appThm
475
remove
49
ref
393
remove
1495
remove
appThm
1498
remove
appThm
absThm
appThm
appThm
nil
47
ref
1494
remove
nil
cons
cons
505
remove
1497
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
561
remove
subst
eqMp
trans
trans
1486
remove
assume
eqMp
nil
90
ref
69
ref
49
ref
369
remove
1493
ref
appTerm
1496
ref
appTerm
1499
def
absTerm
1500
def
appTerm
1501
def
nil
cons
cons
300
ref
cons
nil
cons
cons
152
ref
subst
proveHyp
nil
44
ref
49
ref
92
ref
1500
ref
156
ref
appTerm
1502
def
appTerm
279
ref
appTerm
1503
def
absTerm
1504
def
nil
cons
cons
nil
cons
nil
cons
cons
59
ref
subst
49
ref
nil
61
ref
1503
remove
nil
cons
cons
nil
cons
nil
cons
cons
67
ref
subst
nil
90
ref
1502
ref
nil
cons
1505
def
cons
300
ref
cons
nil
cons
cons
1506
def
109
ref
subst
1506
remove
160
ref
subst
1502
ref
betaConv
1502
remove
assume
eqMp
nil
90
ref
1499
remove
nil
cons
1507
def
cons
300
ref
cons
nil
cons
cons
1508
def
152
ref
subst
proveHyp
1508
ref
109
ref
subst
1508
remove
160
ref
subst
nil
90
ref
1496
remove
nil
cons
1509
def
cons
300
ref
cons
nil
cons
cons
1510
def
109
ref
subst
1510
remove
160
ref
subst
nil
128
ref
1489
ref
cons
130
ref
1304
remove
cons
nil
cons
cons
nil
cons
cons
1511
def
638
ref
subst
nil
1305
remove
300
ref
cons
nil
cons
cons
152
ref
subst
1512
def
proveHyp
nil
"_1495"
2
ref
var
1513
def
1256
ref
cons
nil
cons
nil
cons
cons
nil
90
ref
48
ref
1513
remove
varTerm
1514
def
appTerm
nil
cons
cons
nil
cons
nil
cons
cons
831
ref
subst
346
ref
1514
ref
appTerm
1515
def
betaConv
1511
remove
144
ref
subst
nil
1490
ref
91
ref
1515
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
152
ref
subst
proveHyp
195
ref
1492
ref
49
ref
1514
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
162
ref
subst
eqMp
eqMp
eqMp
subst
eqMp
eqMp
nil
128
ref
1509
ref
cons
832
ref
cons
nil
cons
cons
144
ref
subst
deductAntisym
eqMp
nil
90
ref
1493
remove
nil
cons
1516
def
cons
300
ref
cons
nil
cons
cons
1517
def
109
ref
subst
1517
remove
160
ref
subst
nil
1318
remove
130
ref
1489
remove
cons
nil
cons
cons
nil
cons
cons
1518
def
144
ref
subst
1512
remove
proveHyp
nil
"_1494"
2
ref
var
1519
def
1256
ref
cons
nil
cons
nil
cons
cons
nil
90
ref
48
ref
1519
remove
varTerm
1520
def
appTerm
nil
cons
cons
nil
cons
nil
cons
cons
831
ref
subst
346
remove
1520
ref
appTerm
1521
def
betaConv
1518
remove
638
ref
subst
nil
1490
remove
91
ref
1521
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
152
ref
subst
proveHyp
195
ref
1492
remove
49
ref
1520
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
162
ref
subst
eqMp
eqMp
eqMp
subst
eqMp
eqMp
nil
128
ref
1516
remove
cons
1522
def
832
ref
cons
nil
cons
cons
144
ref
subst
deductAntisym
eqMp
nil
1522
remove
130
ref
1509
remove
cons
843
remove
cons
cons
nil
cons
cons
469
ref
subst
proveHyp
proveHyp
eqMp
nil
128
ref
1507
remove
cons
832
ref
cons
nil
cons
cons
144
ref
subst
deductAntisym
eqMp
eqMp
eqMp
nil
128
ref
1505
remove
cons
832
ref
cons
nil
cons
cons
144
ref
subst
deductAntisym
eqMp
eqMp
absThm
eqMp
nil
90
ref
43
ref
1504
remove
appTerm
nil
cons
cons
91
ref
92
ref
1501
remove
appTerm
279
ref
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
152
ref
subst
proveHyp
195
ref
44
ref
1500
remove
nil
cons
cons
832
ref
cons
nil
cons
cons
256
ref
subst
eqMp
eqMp
eqMp
nil
128
ref
1487
remove
cons
832
ref
cons
nil
cons
cons
144
ref
subst
deductAntisym
eqMp
eqMp
1523
def
subst
appThm
132
ref
68
ref
328
remove
constTerm
1524
def
refl
1525
def
1426
ref
1426
ref
68
ref
1429
remove
constTerm
1526
def
1437
remove
appTerm
absTerm
1527
def
1433
ref
appTerm
betaConv
1528
def
absThm
appThm
appThm
312
ref
330
ref
1426
ref
312
ref
1528
remove
appThm
absThm
appThm
appThm
appThm
nil
"p"
321
remove
var
1527
ref
nil
cons
cons
nil
cons
nil
cons
cons
1460
remove
1523
ref
subst
subst
eqMp
312
ref
330
ref
1426
ref
312
ref
132
ref
1526
ref
refl
1529
def
1431
ref
1475
ref
absThm
appThm
appThm
312
ref
1449
ref
1431
ref
312
ref
1475
remove
appThm
absThm
appThm
appThm
appThm
nil
"p"
1428
ref
var
1479
remove
cons
nil
cons
nil
cons
cons
1459
remove
1523
remove
subst
subst
eqMp
appThm
nil
61
ref
1430
ref
1431
ref
275
ref
1436
remove
appTerm
absTerm
appTerm
1530
def
nil
cons
cons
nil
cons
nil
cons
cons
289
remove
subst
trans
absThm
appThm
appThm
trans
appThm
absThm
appThm
sym
1483
remove
1418
ref
132
ref
312
ref
132
ref
1419
ref
refl
1531
def
1420
ref
1420
remove
275
ref
1423
remove
appTerm
absTerm
1532
def
1422
remove
appTerm
betaConv
absThm
appThm
appThm
330
ref
1426
ref
1449
ref
1431
ref
1532
ref
1435
ref
appTerm
betaConv
absThm
appThm
absThm
appThm
appThm
nil
1418
ref
1532
remove
nil
cons
cons
nil
cons
nil
cons
cons
1481
ref
subst
eqMp
appThm
appThm
275
ref
329
ref
1426
ref
1530
remove
absTerm
appTerm
appTerm
1533
def
refl
appThm
nil
253
ref
1533
remove
nil
cons
cons
nil
cons
nil
cons
cons
295
ref
subst
trans
absThm
appThm
705
ref
1444
remove
1111
ref
subst
subst
trans
sym
66
ref
eqMp
eqMp
1534
def
nil
1482
remove
1418
ref
39
ref
68
ref
1416
remove
constTerm
1535
def
1424
remove
appTerm
appTerm
1524
ref
1527
remove
appTerm
appTerm
absTerm
1536
def
appTerm
1537
def
thm
40
ref
0
ref
0
ref
0
ref
319
ref
1428
ref
nil
cons
cons
opType
1538
def
8
ref
cons
opType
8
ref
cons
opType
constTerm
1539
def
refl
1540
def
"p"
1538
ref
var
1541
def
132
ref
330
ref
1289
ref
1449
ref
nil
"t"
1428
remove
var
1542
def
1541
ref
varTerm
1543
def
1290
ref
appTerm
1544
def
nil
cons
cons
nil
cons
nil
cons
cons
1457
remove
317
ref
cons
35
ref
cons
1273
ref
subst
1545
def
subst
1546
def
appThm
absThm
appThm
appThm
132
ref
1531
remove
"h"
1414
ref
var
1547
def
1547
ref
1543
ref
"Function.o"
const
1548
def
0
ref
1468
ref
0
ref
1414
ref
335
remove
cons
opType
nil
cons
cons
opType
constTerm
1469
ref
appTerm
1547
remove
varTerm
1549
def
appTerm
appTerm
1548
ref
0
ref
1471
ref
0
ref
1414
ref
1456
ref
cons
opType
nil
cons
cons
opType
constTerm
1472
ref
appTerm
1549
ref
appTerm
appTerm
absTerm
1550
def
1549
remove
appTerm
betaConv
absThm
1551
def
appThm
appThm
330
ref
1426
ref
1449
ref
1431
ref
1550
ref
1435
ref
appTerm
betaConv
absThm
1552
def
appThm
absThm
appThm
appThm
nil
1418
remove
1550
ref
nil
cons
cons
nil
cons
nil
cons
cons
1553
def
1481
remove
subst
eqMp
330
ref
1426
ref
1449
remove
1431
remove
1543
ref
refl
nil
"g"
1414
remove
var
1450
remove
cons
1554
def
"f"
1468
ref
var
1469
ref
nil
cons
cons
nil
cons
cons
nil
cons
cons
1465
ref
194
ref
"C"
4
ref
cons
nil
cons
1555
def
cons
cons
35
ref
cons
nil
12
ref
0
ref
0
ref
1058
ref
0
ref
319
remove
1456
remove
cons
opType
nil
cons
cons
opType
1556
def
0
ref
1556
ref
8
ref
cons
opType
nil
cons
cons
opType
constTerm
1548
remove
1556
remove
constTerm
appTerm
"f"
1058
ref
var
1557
def
1426
ref
49
ref
1557
remove
varTerm
1558
def
1433
ref
156
ref
appTerm
1559
def
appTerm
absTerm
absTerm
1560
def
absTerm
1561
def
appTerm
axiom
1558
ref
refl
appThm
1561
remove
1558
remove
appTerm
betaConv
trans
1433
ref
refl
appThm
1560
remove
1433
ref
appTerm
betaConv
trans
1562
def
subst
subst
49
ref
1469
ref
refl
1563
def
1435
remove
156
ref
appTerm
betaConv
1564
def
appThm
nil
"b"
1055
ref
var
1565
def
1434
remove
156
ref
appTerm
nil
cons
cons
"a"
3
ref
var
1566
def
1559
ref
nil
cons
cons
nil
cons
cons
nil
cons
cons
1567
def
1330
ref
172
ref
cons
35
ref
cons
200
ref
subst
1568
def
subst
trans
absThm
nil
320
remove
1477
remove
cons
nil
cons
nil
cons
cons
1273
ref
subst
trans
trans
appThm
nil
1554
remove
"f"
1471
ref
var
1472
ref
nil
cons
cons
nil
cons
cons
nil
cons
cons
1465
ref
194
ref
"C"
1056
ref
cons
nil
cons
cons
cons
35
ref
cons
1562
remove
subst
subst
49
ref
1472
ref
refl
1569
def
1564
remove
appThm
1567
remove
1332
ref
209
ref
subst
1570
def
subst
trans
absThm
nil
"t"
1427
ref
var
1480
remove
cons
nil
cons
nil
cons
cons
194
ref
1331
ref
cons
35
ref
cons
1273
remove
subst
subst
trans
trans
appThm
absThm
nil
1542
remove
1543
remove
1433
ref
appTerm
nil
cons
cons
nil
cons
nil
cons
cons
1545
remove
subst
trans
1571
def
appThm
absThm
appThm
trans
appThm
nil
253
ref
329
ref
1289
ref
1430
ref
1544
ref
appTerm
absTerm
appTerm
nil
cons
cons
nil
cons
nil
cons
cons
295
ref
subst
trans
absThm
appThm
705
ref
"A"
1538
remove
nil
cons
cons
nil
cons
35
ref
cons
1111
ref
subst
subst
1572
def
trans
sym
66
ref
eqMp
nil
1539
ref
1541
ref
39
ref
329
ref
1289
ref
1430
remove
"g"
1427
remove
var
1573
def
1544
ref
1573
remove
varTerm
appTerm
absTerm
1574
def
appTerm
absTerm
appTerm
appTerm
1419
remove
1550
ref
appTerm
appTerm
absTerm
appTerm
thm
1540
remove
1541
ref
132
ref
1525
ref
1289
ref
1529
ref
1546
remove
appThm
absThm
appThm
appThm
132
ref
1535
ref
refl
1551
remove
appThm
appThm
1525
ref
1426
ref
1529
ref
1552
remove
appThm
absThm
appThm
appThm
1553
remove
1536
ref
1421
ref
appTerm
1575
def
betaConv
1534
remove
nil
90
ref
1537
remove
nil
cons
cons
91
ref
1575
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
152
ref
subst
proveHyp
1443
remove
1417
remove
1536
remove
nil
cons
cons
"x"
1415
remove
var
1421
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
162
ref
subst
eqMp
eqMp
subst
eqMp
1525
remove
1426
ref
1529
remove
1571
remove
appThm
absThm
appThm
trans
appThm
nil
253
ref
1524
ref
1289
ref
1526
ref
1544
remove
appTerm
absTerm
appTerm
nil
cons
cons
nil
cons
nil
cons
cons
295
ref
subst
trans
absThm
appThm
1572
remove
trans
sym
66
ref
eqMp
nil
1539
remove
1541
remove
39
ref
1524
remove
1289
ref
1526
remove
1574
remove
appTerm
absTerm
appTerm
appTerm
1535
remove
1550
remove
appTerm
appTerm
absTerm
appTerm
thm
1095
ref
1077
ref
nil
"g"
1073
ref
var
1576
def
1206
ref
"f'"
1073
ref
var
1577
def
43
ref
70
ref
189
ref
74
ref
1209
ref
1577
ref
varTerm
79
ref
appTerm
appTerm
1578
def
1079
ref
appTerm
absTerm
appTerm
absTerm
appTerm
absTerm
appTerm
1579
def
nil
cons
1580
def
cons
1077
ref
11
ref
1078
ref
22
ref
appTerm
1581
def
absTerm
1582
def
nil
cons
cons
nil
cons
cons
nil
cons
cons
33
ref
1331
remove
cons
35
ref
cons
1426
ref
39
ref
322
remove
1290
ref
appTerm
1433
ref
appTerm
1583
def
appTerm
43
ref
49
ref
202
ref
1291
remove
appTerm
1559
remove
appTerm
absTerm
appTerm
1584
def
appTerm
absTerm
1585
def
1433
remove
appTerm
1586
def
betaConv
1289
ref
329
ref
1585
ref
appTerm
1587
def
absTerm
1588
def
1290
remove
appTerm
1589
def
betaConv
330
ref
1289
ref
330
remove
1426
ref
nil
1352
remove
1584
ref
nil
cons
cons
253
ref
1583
ref
nil
cons
cons
nil
cons
cons
nil
cons
cons
292
remove
954
remove
967
remove
961
remove
156
ref
appTerm
appTerm
absTerm
1590
def
955
remove
appTerm
1591
def
betaConv
49
ref
43
ref
1590
ref
appTerm
1592
def
absTerm
1593
def
156
ref
appTerm
1594
def
betaConv
nil
43
ref
1593
ref
appTerm
1595
def
axiom
nil
90
ref
1595
remove
nil
cons
cons
91
ref
1594
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
152
ref
subst
proveHyp
195
ref
44
ref
1593
remove
nil
cons
cons
1257
ref
cons
nil
cons
cons
162
ref
subst
eqMp
eqMp
nil
90
ref
1592
remove
nil
cons
cons
91
ref
1591
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
152
ref
subst
proveHyp
195
ref
44
ref
1590
remove
nil
cons
cons
995
remove
cons
nil
cons
cons
162
ref
subst
eqMp
eqMp
subst
subst
absThm
appThm
absThm
appThm
sym
nil
329
ref
1289
remove
329
ref
1426
remove
39
ref
1584
remove
appTerm
1583
remove
appTerm
absTerm
appTerm
absTerm
appTerm
axiom
eqMp
nil
90
ref
329
remove
1588
ref
appTerm
nil
cons
cons
91
ref
1589
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
152
ref
subst
proveHyp
336
ref
337
ref
1588
remove
nil
cons
cons
1298
remove
cons
nil
cons
cons
162
ref
subst
eqMp
eqMp
nil
90
ref
1587
remove
nil
cons
cons
91
ref
1586
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
152
ref
subst
proveHyp
336
remove
337
remove
1585
remove
nil
cons
cons
1478
remove
cons
nil
cons
cons
162
ref
subst
eqMp
eqMp
1596
def
subst
1597
def
subst
132
ref
471
ref
11
ref
11
ref
1209
ref
1582
ref
22
ref
appTerm
appTerm
1579
ref
22
ref
appTerm
1598
def
appTerm
absTerm
1599
def
22
ref
appTerm
betaConv
absThm
appThm
appThm
313
ref
70
ref
490
ref
74
ref
1599
ref
79
ref
appTerm
betaConv
absThm
appThm
absThm
appThm
appThm
nil
261
ref
1599
remove
nil
cons
cons
nil
cons
nil
cons
cons
1402
ref
subst
eqMp
trans
313
ref
70
ref
490
ref
74
ref
1240
ref
nil
941
remove
835
remove
cons
nil
cons
nil
cons
cons
1330
remove
34
ref
cons
35
ref
cons
1299
ref
subst
subst
appThm
74
ref
1209
ref
1206
ref
"_1382"
1073
ref
var
1600
def
43
ref
70
ref
189
ref
74
ref
1209
ref
1600
remove
varTerm
79
ref
appTerm
appTerm
1079
ref
appTerm
absTerm
appTerm
absTerm
appTerm
absTerm
1601
def
appTerm
1602
def
79
ref
appTerm
appTerm
1079
ref
appTerm
absTerm
1603
def
78
ref
appTerm
1604
def
betaConv
70
ref
189
ref
1603
ref
appTerm
1605
def
absTerm
1606
def
76
ref
appTerm
1607
def
betaConv
1601
ref
1602
remove
appTerm
1608
def
betaConv
1601
ref
"_1380"
6
ref
var
1609
def
1078
ref
17
ref
1205
ref
0
ref
0
ref
20
ref
8
ref
cons
opType
1610
def
20
ref
nil
cons
1611
def
cons
opType
constTerm
"fn"
20
remove
var
1612
def
43
ref
70
ref
189
ref
74
ref
186
ref
1612
ref
varTerm
79
ref
appTerm
appTerm
1613
def
76
ref
appTerm
absTerm
appTerm
absTerm
appTerm
absTerm
1614
def
appTerm
1615
def
1609
remove
varTerm
1616
def
appTerm
appTerm
1205
ref
0
ref
0
ref
25
ref
8
ref
cons
opType
1617
def
25
ref
nil
cons
1618
def
cons
opType
constTerm
"fn"
25
remove
var
1619
def
43
ref
70
ref
189
ref
74
ref
202
ref
1619
ref
varTerm
79
ref
appTerm
appTerm
1620
def
78
ref
appTerm
absTerm
appTerm
absTerm
appTerm
absTerm
1621
def
appTerm
1622
def
1616
remove
appTerm
appTerm
appTerm
absTerm
1623
def
appTerm
betaConv
sym
nil
44
ref
70
ref
189
ref
74
ref
1209
ref
1623
ref
79
ref
appTerm
1624
def
appTerm
1079
ref
appTerm
1625
def
absTerm
1626
def
appTerm
1627
def
absTerm
nil
cons
cons
nil
cons
nil
cons
cons
59
ref
subst
70
ref
nil
61
ref
1627
remove
nil
cons
cons
nil
cons
nil
cons
cons
67
ref
subst
nil
168
ref
1626
remove
nil
cons
cons
nil
cons
nil
cons
cons
174
ref
subst
74
ref
nil
61
ref
1625
remove
nil
cons
cons
nil
cons
nil
cons
cons
67
ref
subst
1624
remove
betaConv
1209
ref
"_1377"
3
ref
var
1628
def
1078
ref
77
remove
1628
ref
varTerm
1629
def
appTerm
appTerm
absTerm
78
ref
appTerm
1630
def
appTerm
refl
1628
ref
1078
ref
17
ref
1615
ref
79
ref
appTerm
1631
def
appTerm
1632
def
1629
ref
appTerm
appTerm
absTerm
1633
def
1622
ref
79
ref
appTerm
1634
def
appTerm
betaConv
appThm
1240
ref
1630
remove
betaConv
1635
def
appThm
1078
ref
1632
remove
1634
ref
appTerm
appTerm
refl
appThm
trans
12
ref
0
ref
1058
ref
0
ref
1058
remove
8
ref
cons
opType
nil
cons
cons
opType
constTerm
1636
def
"_1376"
2
ref
var
1637
def
1628
remove
1078
ref
17
ref
1637
remove
varTerm
appTerm
1629
remove
appTerm
appTerm
absTerm
absTerm
1638
def
76
ref
appTerm
1639
def
appTerm
refl
1638
ref
1631
ref
appTerm
betaConv
appThm
1636
remove
refl
1639
remove
betaConv
1640
def
appThm
1633
remove
refl
appThm
trans
1638
remove
refl
74
ref
186
ref
1631
ref
appTerm
76
ref
appTerm
absTerm
1641
def
78
ref
appTerm
1642
def
betaConv
70
ref
189
ref
1641
ref
appTerm
1643
def
absTerm
1644
def
76
ref
appTerm
1645
def
betaConv
1614
ref
1615
ref
appTerm
1646
def
betaConv
68
ref
0
ref
1610
ref
8
ref
cons
opType
constTerm
1647
def
refl
1612
remove
313
ref
70
ref
490
ref
74
ref
1613
remove
refl
70
ref
74
ref
76
ref
absTerm
1648
def
absTerm
1649
def
76
ref
appTerm
betaConv
78
ref
refl
1650
def
appThm
1648
remove
78
ref
appTerm
betaConv
trans
appThm
absThm
appThm
absThm
appThm
absThm
appThm
"C"
19
ref
cons
nil
cons
"_1371"
0
ref
2
ref
0
ref
3
ref
19
ref
cons
opType
nil
cons
cons
opType
var
1649
remove
nil
cons
cons
nil
cons
nil
cons
cons
nil
1066
ref
70
ref
74
ref
"_1371"
1060
remove
var
varTerm
76
ref
appTerm
78
ref
appTerm
1651
def
absTerm
1652
def
absTerm
1653
def
nil
cons
cons
nil
cons
nil
cons
cons
1260
remove
subst
nil
90
ref
1261
ref
1235
ref
43
ref
70
ref
189
ref
74
ref
1237
ref
1653
remove
76
ref
appTerm
1654
def
78
ref
appTerm
appTerm
absTerm
appTerm
absTerm
appTerm
1655
def
absTerm
1656
def
appTerm
1657
def
nil
cons
cons
91
ref
1261
ref
1235
ref
43
ref
70
ref
189
ref
74
ref
1237
ref
1651
remove
appTerm
absTerm
appTerm
absTerm
appTerm
absTerm
1658
def
appTerm
1659
def
nil
cons
1660
def
cons
nil
cons
1661
def
cons
nil
cons
cons
152
ref
subst
nil
1214
ref
1235
ref
92
ref
1656
ref
1236
ref
appTerm
1662
def
appTerm
1659
ref
appTerm
1663
def
absTerm
nil
cons
cons
nil
cons
nil
cons
cons
1107
ref
59
ref
subst
1664
def
subst
1235
remove
nil
61
ref
1663
remove
nil
cons
cons
nil
cons
nil
cons
cons
67
ref
subst
nil
90
ref
1662
ref
nil
cons
1665
def
cons
1661
ref
cons
nil
cons
cons
1666
def
109
ref
subst
1666
remove
160
ref
subst
1662
ref
betaConv
1662
remove
assume
eqMp
nil
90
ref
1655
ref
nil
cons
1667
def
cons
1661
remove
cons
nil
cons
cons
1668
def
152
ref
subst
proveHyp
1668
ref
109
ref
subst
1668
remove
160
ref
subst
1658
ref
1236
ref
appTerm
betaConv
sym
313
ref
70
ref
490
ref
74
ref
1237
remove
refl
1654
remove
betaConv
1650
ref
appThm
1652
remove
78
ref
appTerm
betaConv
trans
appThm
absThm
appThm
absThm
appThm
1655
remove
assume
eqMp
eqMp
1106
ref
1214
ref
1658
remove
nil
cons
cons
1216
ref
1236
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
1259
ref
subst
proveHyp
eqMp
nil
128
ref
1667
remove
cons
130
ref
1660
remove
cons
nil
cons
1669
def
cons
nil
cons
cons
144
ref
subst
deductAntisym
eqMp
eqMp
eqMp
nil
128
ref
1665
remove
cons
1669
ref
cons
nil
cons
cons
144
ref
subst
deductAntisym
eqMp
eqMp
absThm
eqMp
nil
90
ref
1076
ref
1216
ref
92
ref
1656
ref
1216
ref
varTerm
appTerm
appTerm
1659
ref
appTerm
absTerm
appTerm
nil
cons
cons
91
ref
92
ref
1657
remove
appTerm
1659
remove
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
152
ref
subst
proveHyp
1106
ref
1214
ref
1656
remove
nil
cons
cons
1669
remove
cons
nil
cons
cons
256
ref
subst
eqMp
eqMp
proveHyp
1670
def
subst
eqMp
nil
90
ref
1647
remove
1614
ref
appTerm
nil
cons
cons
91
ref
1646
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
152
ref
subst
proveHyp
"A"
1611
remove
cons
nil
cons
"p"
1610
remove
var
1614
remove
nil
cons
cons
nil
cons
nil
cons
cons
1328
ref
subst
eqMp
eqMp
nil
90
ref
43
ref
1644
ref
appTerm
nil
cons
cons
91
ref
1645
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
152
ref
subst
proveHyp
195
ref
44
ref
1644
remove
nil
cons
cons
196
ref
cons
nil
cons
cons
162
ref
subst
eqMp
eqMp
nil
90
ref
1643
remove
nil
cons
cons
91
ref
1642
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
152
ref
subst
proveHyp
172
ref
168
ref
1641
remove
nil
cons
cons
199
ref
cons
nil
cons
cons
162
ref
subst
eqMp
eqMp
sym
1671
def
appThm
eqMp
74
ref
202
ref
1634
ref
appTerm
78
ref
appTerm
absTerm
1672
def
78
ref
appTerm
1673
def
betaConv
70
ref
189
ref
1672
ref
appTerm
1674
def
absTerm
1675
def
76
ref
appTerm
1676
def
betaConv
1621
ref
1622
ref
appTerm
1677
def
betaConv
68
ref
0
ref
1617
ref
8
ref
cons
opType
constTerm
1678
def
refl
1619
remove
313
ref
70
ref
490
ref
74
ref
1620
remove
refl
70
ref
74
ref
78
ref
absTerm
absTerm
1679
def
76
ref
appTerm
betaConv
1650
ref
appThm
"_1374"
3
ref
var
1680
def
1680
remove
varTerm
absTerm
78
ref
appTerm
betaConv
trans
appThm
absThm
appThm
absThm
appThm
absThm
appThm
1555
remove
"_1371"
0
ref
2
ref
0
ref
3
ref
4
ref
cons
opType
nil
cons
cons
opType
var
1679
remove
nil
cons
cons
nil
cons
nil
cons
cons
1670
remove
subst
eqMp
nil
90
ref
1678
remove
1621
ref
appTerm
nil
cons
cons
91
ref
1677
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
152
ref
subst
proveHyp
"A"
1618
remove
cons
nil
cons
"p"
1617
remove
var
1621
remove
nil
cons
cons
nil
cons
nil
cons
cons
1328
ref
subst
eqMp
eqMp
nil
90
ref
43
ref
1675
ref
appTerm
nil
cons
cons
91
ref
1676
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
152
ref
subst
proveHyp
195
ref
44
ref
1675
remove
nil
cons
cons
196
ref
cons
nil
cons
cons
162
ref
subst
eqMp
eqMp
nil
90
ref
1674
remove
nil
cons
cons
91
ref
1673
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
152
ref
subst
proveHyp
172
ref
168
ref
1672
remove
nil
cons
cons
199
ref
cons
nil
cons
cons
162
ref
subst
eqMp
eqMp
sym
1681
def
appThm
eqMp
sym
trans
eqMp
absThm
eqMp
eqMp
absThm
eqMp
eqMp
1106
ref
1214
ref
1601
ref
nil
cons
1682
def
cons
1216
ref
1623
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
1259
ref
subst
proveHyp
nil
90
ref
1261
ref
1601
remove
appTerm
nil
cons
cons
91
ref
1608
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
152
ref
subst
proveHyp
nil
1262
ref
1682
remove
cons
nil
cons
nil
cons
cons
1329
remove
subst
eqMp
eqMp
nil
90
ref
43
ref
1606
ref
appTerm
nil
cons
cons
91
ref
1607
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
152
ref
subst
proveHyp
195
ref
44
ref
1606
remove
nil
cons
cons
196
ref
cons
nil
cons
cons
162
ref
subst
eqMp
eqMp
nil
90
ref
1605
remove
nil
cons
cons
91
ref
1604
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
152
ref
subst
proveHyp
172
ref
168
ref
1603
remove
nil
cons
cons
199
ref
cons
nil
cons
cons
162
ref
subst
eqMp
eqMp
1683
def
appThm
nil
1243
ref
1079
ref
nil
cons
cons
nil
cons
nil
cons
cons
1247
remove
subst
1684
def
trans
absThm
appThm
1248
ref
trans
absThm
appThm
1249
ref
trans
trans
absThm
appThm
1112
remove
trans
sym
66
ref
eqMp
1685
def
nil
1076
ref
1077
ref
12
ref
0
ref
1073
remove
1074
remove
nil
cons
1686
def
cons
opType
constTerm
1687
def
1582
remove
appTerm
1579
ref
appTerm
absTerm
1688
def
appTerm
1689
def
thm
1348
ref
1066
ref
1687
ref
1206
ref
1077
ref
43
ref
49
ref
189
ref
1390
ref
1209
ref
1078
ref
17
ref
156
ref
appTerm
1393
ref
appTerm
appTerm
appTerm
1068
ref
156
ref
appTerm
1393
ref
appTerm
appTerm
absTerm
appTerm
absTerm
appTerm
absTerm
appTerm
1690
def
appTerm
1691
def
refl
1687
ref
refl
11
ref
1239
remove
22
ref
appTerm
betaConv
absThm
appThm
1206
remove
refl
1692
def
1577
ref
313
ref
70
ref
490
ref
74
ref
1578
remove
refl
1693
def
1241
remove
appThm
absThm
appThm
absThm
appThm
absThm
appThm
appThm
nil
1077
ref
"p"
6
ref
var
1694
def
1068
ref
21
ref
1694
ref
varTerm
1695
def
appTerm
1696
def
appTerm
26
ref
1695
remove
appTerm
1697
def
appTerm
absTerm
1698
def
nil
cons
cons
nil
cons
nil
cons
cons
1688
ref
1078
ref
appTerm
1699
def
betaConv
1685
remove
nil
90
ref
1689
remove
nil
cons
cons
91
ref
1699
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
152
ref
subst
proveHyp
1106
remove
1214
ref
1688
remove
nil
cons
cons
1216
ref
1078
ref
nil
cons
1700
def
cons
nil
cons
cons
nil
cons
cons
162
ref
subst
eqMp
eqMp
subst
eqMp
1692
ref
1577
ref
313
ref
70
ref
490
ref
74
ref
1693
ref
1242
remove
appThm
absThm
appThm
absThm
appThm
absThm
appThm
trans
appThm
nil
1216
remove
1690
remove
nil
cons
cons
nil
cons
nil
cons
cons
1107
remove
294
ref
subst
subst
trans
absThm
appThm
705
ref
1203
remove
1111
ref
subst
subst
trans
sym
66
ref
eqMp
1701
def
nil
1065
ref
1066
ref
1691
remove
1698
remove
appTerm
absTerm
1702
def
appTerm
1703
def
thm
40
ref
0
ref
1075
remove
8
ref
cons
opType
constTerm
1704
def
refl
1705
def
1262
ref
39
ref
1076
ref
1077
ref
1262
ref
varTerm
1706
def
1078
ref
appTerm
absTerm
1707
def
appTerm
1708
def
appTerm
1709
def
refl
132
ref
1348
remove
1066
ref
1066
remove
1706
ref
1212
remove
appTerm
absTerm
1710
def
1068
ref
appTerm
betaConv
absThm
1711
def
appThm
appThm
1095
ref
1077
ref
1710
ref
1080
remove
appTerm
betaConv
absThm
1712
def
appThm
appThm
nil
1064
remove
1710
ref
nil
cons
cons
nil
cons
nil
cons
cons
1713
def
1340
remove
subst
eqMp
1095
remove
1077
ref
1706
remove
refl
1692
remove
1577
remove
313
ref
70
ref
490
ref
74
ref
1693
remove
1640
remove
1650
remove
appThm
1635
remove
trans
appThm
absThm
appThm
absThm
appThm
absThm
appThm
nil
1576
remove
1700
remove
cons
1077
ref
1580
remove
cons
nil
cons
cons
nil
cons
cons
1597
remove
subst
132
ref
471
ref
11
ref
11
ref
1209
ref
1598
remove
appTerm
1581
remove
appTerm
absTerm
1714
def
22
ref
appTerm
betaConv
absThm
appThm
appThm
313
ref
70
ref
490
ref
74
ref
1714
ref
79
ref
appTerm
betaConv
absThm
appThm
absThm
appThm
appThm
nil
261
ref
1714
remove
nil
cons
cons
nil
cons
nil
cons
cons
1402
ref
subst
eqMp
trans
313
ref
70
ref
490
ref
74
ref
1240
ref
1683
remove
appThm
1079
remove
refl
appThm
1684
remove
trans
absThm
appThm
1248
ref
trans
absThm
appThm
1249
ref
trans
trans
1715
def
sym
66
ref
eqMp
trans
appThm
absThm
1716
def
appThm
trans
appThm
nil
253
ref
1708
remove
nil
cons
cons
nil
cons
nil
cons
cons
295
ref
subst
trans
absThm
appThm
705
ref
"A"
1686
remove
cons
nil
cons
35
ref
cons
1111
ref
subst
subst
1717
def
trans
sym
66
ref
eqMp
nil
1704
ref
1262
ref
1709
remove
1065
remove
1710
ref
appTerm
appTerm
absTerm
appTerm
thm
1705
remove
1262
ref
39
ref
1261
remove
1707
remove
appTerm
1718
def
appTerm
1719
def
refl
132
ref
1342
ref
refl
1711
remove
appThm
appThm
1350
ref
1712
remove
appThm
appThm
1713
remove
1382
remove
subst
eqMp
1350
remove
1716
remove
appThm
trans
appThm
nil
253
ref
1718
remove
nil
cons
cons
nil
cons
nil
cons
cons
295
ref
subst
trans
absThm
appThm
1717
remove
trans
sym
66
ref
eqMp
nil
1704
remove
1262
remove
1719
remove
1342
remove
1710
remove
appTerm
appTerm
absTerm
appTerm
thm
nil
"P"
1386
remove
var
1720
def
1389
ref
39
ref
88
ref
1205
ref
0
ref
87
ref
13
remove
cons
opType
constTerm
1721
def
"f"
9
ref
var
1722
def
43
ref
70
ref
189
ref
74
ref
39
ref
1722
ref
varTerm
79
ref
appTerm
appTerm
1391
ref
76
ref
appTerm
1723
def
78
ref
appTerm
1724
def
appTerm
absTerm
appTerm
absTerm
appTerm
absTerm
appTerm
1725
def
appTerm
appTerm
43
ref
70
ref
189
ref
74
ref
1724
ref
absTerm
1726
def
appTerm
absTerm
appTerm
1727
def
appTerm
1728
def
absTerm
1729
def
nil
cons
cons
nil
cons
nil
cons
cons
1406
remove
59
ref
subst
1730
def
subst
1389
ref
nil
61
ref
1728
remove
nil
cons
cons
nil
cons
nil
cons
cons
67
ref
subst
132
ref
36
ref
56
ref
subst
1725
ref
refl
appThm
appThm
1727
remove
refl
appThm
sym
261
ref
12
ref
0
ref
9
ref
87
remove
nil
cons
cons
opType
constTerm
1731
def
262
remove
appTerm
11
ref
50
ref
absTerm
1732
def
appTerm
absTerm
1725
ref
appTerm
betaConv
nil
"g"
9
ref
var
1732
ref
nil
cons
cons
1722
remove
1725
ref
nil
cons
1733
def
cons
nil
cons
cons
nil
cons
cons
33
remove
317
ref
cons
35
ref
cons
1596
ref
subst
subst
132
ref
471
ref
11
ref
11
ref
39
ref
1725
ref
22
ref
appTerm
1734
def
appTerm
1732
ref
22
ref
appTerm
appTerm
absTerm
1735
def
22
ref
appTerm
betaConv
absThm
appThm
appThm
313
ref
70
ref
490
ref
74
ref
1735
ref
79
ref
appTerm
betaConv
absThm
appThm
absThm
appThm
appThm
nil
261
ref
1735
remove
nil
cons
cons
nil
cons
nil
cons
cons
1402
ref
subst
eqMp
trans
trans
313
ref
70
ref
490
ref
74
ref
132
ref
74
ref
39
ref
1721
remove
"_1510"
9
ref
var
1736
def
43
ref
70
ref
189
ref
74
ref
39
ref
1736
remove
varTerm
79
ref
appTerm
appTerm
1724
ref
appTerm
absTerm
appTerm
absTerm
appTerm
absTerm
1737
def
appTerm
1738
def
79
ref
appTerm
appTerm
1724
ref
appTerm
absTerm
1739
def
78
ref
appTerm
1740
def
betaConv
70
ref
189
ref
1739
ref
appTerm
1741
def
absTerm
1742
def
76
ref
appTerm
1743
def
betaConv
1737
ref
1738
remove
appTerm
1744
def
betaConv
1737
ref
"_1508"
6
remove
var
1745
def
1391
ref
1615
remove
1745
remove
varTerm
1746
def
appTerm
appTerm
1622
remove
1746
remove
appTerm
appTerm
absTerm
1747
def
appTerm
betaConv
sym
nil
44
ref
70
ref
189
ref
74
ref
39
ref
1747
ref
79
ref
appTerm
1748
def
appTerm
1724
ref
appTerm
1749
def
absTerm
1750
def
appTerm
1751
def
absTerm
nil
cons
cons
nil
cons
nil
cons
cons
59
ref
subst
70
ref
nil
61
ref
1751
remove
nil
cons
cons
nil
cons
nil
cons
cons
67
ref
subst
nil
168
ref
1750
remove
nil
cons
cons
nil
cons
nil
cons
cons
174
ref
subst
74
ref
nil
61
ref
1749
remove
nil
cons
cons
nil
cons
nil
cons
cons
67
ref
subst
1748
remove
betaConv
39
ref
"_1505"
3
ref
var
1752
def
1723
remove
1752
ref
varTerm
1753
def
appTerm
absTerm
78
ref
appTerm
1754
def
appTerm
refl
1752
ref
1391
ref
1631
ref
appTerm
1755
def
1753
ref
appTerm
absTerm
1756
def
1634
ref
appTerm
betaConv
appThm
132
ref
1754
remove
betaConv
appThm
1755
remove
1634
remove
appTerm
refl
appThm
trans
12
ref
0
ref
71
remove
72
remove
nil
cons
cons
opType
constTerm
1757
def
"_1504"
2
ref
var
1758
def
1752
remove
1391
ref
1758
remove
varTerm
appTerm
1753
remove
appTerm
absTerm
absTerm
1759
def
76
ref
appTerm
1760
def
appTerm
refl
1759
ref
1631
remove
appTerm
betaConv
appThm
1757
remove
refl
1760
remove
betaConv
appThm
1756
remove
refl
appThm
trans
1759
remove
refl
1671
ref
appThm
eqMp
1681
ref
appThm
eqMp
sym
trans
eqMp
absThm
eqMp
eqMp
absThm
eqMp
eqMp
310
remove
308
ref
1737
ref
nil
cons
1761
def
cons
844
remove
1747
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
1259
ref
subst
proveHyp
nil
90
ref
358
remove
1737
remove
appTerm
nil
cons
cons
91
ref
1744
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
152
ref
subst
proveHyp
nil
503
remove
1761
remove
cons
nil
cons
nil
cons
cons
311
remove
1328
ref
subst
subst
eqMp
eqMp
nil
90
ref
43
ref
1742
ref
appTerm
nil
cons
cons
91
ref
1743
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
152
ref
subst
proveHyp
195
ref
44
ref
1742
remove
nil
cons
cons
196
ref
cons
nil
cons
cons
162
ref
subst
eqMp
eqMp
nil
90
ref
1741
remove
nil
cons
cons
91
ref
1740
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
152
ref
subst
proveHyp
172
ref
168
ref
1739
remove
nil
cons
cons
199
ref
cons
nil
cons
cons
162
ref
subst
eqMp
eqMp
1762
def
appThm
1732
remove
79
ref
appTerm
betaConv
appThm
nil
61
ref
1724
ref
nil
cons
cons
nil
cons
nil
cons
cons
61
ref
39
ref
65
remove
appTerm
63
ref
appTerm
absTerm
1763
def
63
remove
appTerm
1764
def
betaConv
nil
230
remove
1763
ref
appTerm
1765
def
axiom
nil
90
ref
1765
remove
nil
cons
cons
91
ref
1764
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
152
ref
subst
proveHyp
251
remove
252
remove
1763
remove
nil
cons
cons
284
remove
cons
nil
cons
cons
162
ref
subst
eqMp
eqMp
1766
def
subst
trans
absThm
appThm
absThm
appThm
trans
eqMp
eqMp
absThm
eqMp
nil
1387
ref
1729
remove
appTerm
thm
nil
1720
ref
1389
ref
39
ref
487
ref
1725
ref
appTerm
1767
def
appTerm
69
ref
70
ref
73
ref
1726
remove
appTerm
absTerm
1768
def
appTerm
1769
def
appTerm
1770
def
absTerm
1771
def
nil
cons
cons
nil
cons
nil
cons
cons
1730
ref
subst
1389
ref
nil
61
ref
1770
remove
nil
cons
1772
def
cons
nil
cons
nil
cons
cons
67
ref
subst
132
ref
nil
261
ref
1733
remove
cons
nil
cons
nil
cons
cons
36
ref
47
ref
39
ref
275
ref
1263
remove
appTerm
appTerm
861
remove
appTerm
absTerm
1773
def
48
remove
appTerm
1774
def
betaConv
349
ref
refl
47
ref
132
ref
312
ref
1274
remove
appThm
appThm
313
ref
49
ref
345
remove
refl
absThm
appThm
appThm
absThm
appThm
865
remove
eqMp
nil
90
ref
349
remove
1773
ref
appTerm
nil
cons
cons
91
ref
1774
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
152
ref
subst
proveHyp
351
ref
352
remove
1773
remove
nil
cons
cons
355
remove
cons
nil
cons
cons
162
ref
subst
eqMp
eqMp
1775
def
subst
subst
132
ref
471
ref
11
ref
11
ref
275
ref
1734
remove
appTerm
absTerm
1776
def
22
ref
appTerm
betaConv
absThm
appThm
appThm
313
ref
70
ref
490
ref
74
ref
1776
ref
79
ref
appTerm
betaConv
absThm
appThm
absThm
appThm
appThm
nil
261
remove
1776
remove
nil
cons
cons
nil
cons
nil
cons
cons
1402
ref
subst
eqMp
trans
313
ref
70
ref
490
ref
74
ref
312
ref
1762
remove
appThm
absThm
appThm
absThm
appThm
trans
appThm
nil
47
ref
1768
ref
nil
cons
1777
def
cons
nil
cons
nil
cons
cons
1775
ref
subst
313
ref
49
ref
312
ref
1768
ref
156
ref
appTerm
1778
def
betaConv
appThm
nil
574
ref
74
ref
1392
remove
78
ref
appTerm
absTerm
1779
def
nil
cons
cons
nil
cons
nil
cons
cons
173
remove
1775
ref
subst
1780
def
subst
490
ref
197
ref
312
ref
1779
remove
211
ref
appTerm
betaConv
appThm
absThm
appThm
trans
trans
absThm
appThm
trans
1781
def
appThm
nil
253
ref
43
ref
70
ref
189
ref
74
ref
275
ref
1724
ref
appTerm
absTerm
appTerm
absTerm
1782
def
appTerm
nil
cons
1783
def
cons
nil
cons
nil
cons
cons
295
ref
subst
trans
sym
66
ref
eqMp
nil
90
ref
39
ref
275
ref
1767
ref
appTerm
appTerm
275
ref
1769
ref
appTerm
1784
def
appTerm
nil
cons
cons
91
ref
1772
remove
cons
nil
cons
cons
nil
cons
cons
152
ref
subst
proveHyp
nil
91
ref
1769
ref
nil
cons
1785
def
cons
90
ref
1767
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
nil
368
remove
91
ref
92
ref
830
remove
370
ref
appTerm
appTerm
240
remove
appTerm
nil
cons
1786
def
cons
nil
cons
1787
def
cons
nil
cons
cons
1788
def
109
ref
subst
1788
remove
160
ref
subst
39
ref
"_1514"
7
ref
var
1789
def
92
ref
39
ref
275
ref
1789
remove
varTerm
1790
def
appTerm
appTerm
370
ref
appTerm
appTerm
39
ref
1790
remove
appTerm
95
ref
appTerm
appTerm
absTerm
1791
def
93
remove
appTerm
1792
def
appTerm
refl
1793
def
1791
ref
279
remove
appTerm
betaConv
appThm
132
ref
1792
remove
betaConv
appThm
1794
def
92
ref
401
remove
370
ref
appTerm
appTerm
381
remove
appTerm
refl
appThm
trans
1791
remove
refl
1795
def
386
remove
appThm
eqMp
sym
713
ref
1369
remove
370
ref
refl
1796
def
appThm
395
ref
431
remove
subst
trans
appThm
391
remove
appThm
395
ref
827
ref
subst
trans
sym
66
ref
eqMp
eqMp
eqMp
nil
415
remove
130
ref
1786
ref
cons
nil
cons
1797
def
cons
nil
cons
cons
144
ref
subst
deductAntisym
eqMp
nil
419
remove
1787
remove
cons
nil
cons
cons
1798
def
109
ref
subst
1798
remove
160
ref
subst
1793
remove
"_1512"
7
remove
var
1799
def
92
ref
39
ref
275
ref
1799
remove
varTerm
1800
def
appTerm
appTerm
370
ref
appTerm
appTerm
39
ref
1800
remove
appTerm
95
remove
appTerm
appTerm
absTerm
50
ref
appTerm
betaConv
appThm
1794
remove
92
ref
433
remove
370
remove
appTerm
appTerm
424
remove
appTerm
refl
appThm
trans
1795
remove
427
remove
appThm
eqMp
sym
713
ref
1379
remove
1796
remove
appThm
395
remove
390
remove
subst
392
remove
trans
trans
appThm
432
remove
appThm
125
remove
827
remove
subst
trans
sym
66
ref
eqMp
eqMp
eqMp
nil
441
ref
1797
remove
cons
nil
cons
cons
144
ref
subst
deductAntisym
eqMp
448
remove
nil
441
remove
449
remove
450
remove
1786
remove
cons
nil
cons
cons
cons
nil
cons
cons
469
remove
subst
proveHyp
proveHyp
proveHyp
1801
def
subst
eqMp
eqMp
absThm
eqMp
nil
1387
ref
1771
remove
appTerm
thm
1388
ref
1389
ref
14
ref
refl
1205
ref
0
ref
9
ref
16
ref
cons
opType
constTerm
1802
def
refl
nil
"f"
1385
ref
var
1391
ref
nil
cons
1803
def
cons
nil
cons
nil
cons
cons
194
ref
"B"
4
ref
cons
"C"
8
ref
cons
nil
cons
cons
cons
35
ref
cons
1702
ref
1068
remove
appTerm
1804
def
betaConv
1701
remove
nil
90
ref
1703
remove
nil
cons
cons
91
ref
1804
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
152
ref
subst
proveHyp
1100
remove
1101
remove
1702
remove
nil
cons
cons
1104
remove
cons
nil
cons
cons
162
ref
subst
eqMp
eqMp
subst
subst
1805
def
appThm
appThm
1802
ref
11
ref
1391
ref
23
remove
appTerm
27
remove
appTerm
1806
def
absTerm
1807
def
appTerm
1808
def
refl
appThm
nil
11
ref
1802
ref
1694
remove
1391
ref
1696
remove
appTerm
1697
remove
appTerm
absTerm
appTerm
nil
cons
cons
nil
cons
nil
cons
cons
36
remove
294
ref
subst
subst
trans
absThm
appThm
1407
remove
trans
sym
66
ref
eqMp
nil
1387
ref
1389
ref
14
ref
1802
ref
1725
ref
appTerm
1809
def
appTerm
1808
ref
appTerm
absTerm
appTerm
thm
40
ref
0
ref
0
ref
0
ref
1
ref
1413
remove
opType
1810
def
"D"
varType
1811
def
nil
cons
1812
def
cons
opType
1813
def
8
ref
cons
opType
1814
def
8
ref
cons
opType
1815
def
constTerm
1816
def
refl
"f"
1813
ref
var
1817
def
nil
"g"
1813
ref
var
1818
def
1205
ref
0
ref
1814
ref
1813
ref
nil
cons
1819
def
cons
opType
constTerm
1820
def
"f'"
1813
ref
var
1821
def
43
ref
49
ref
189
ref
1390
ref
40
ref
0
ref
1207
ref
8
ref
cons
opType
1822
def
constTerm
1823
def
"z"
1055
ref
var
1824
def
12
ref
0
ref
1811
ref
0
ref
1811
ref
8
ref
cons
opType
1825
def
nil
cons
cons
opType
constTerm
1826
def
1821
ref
varTerm
1827
def
15
ref
0
ref
2
ref
0
ref
1411
ref
1810
ref
nil
cons
1828
def
cons
opType
nil
cons
cons
opType
constTerm
1829
def
156
ref
appTerm
1830
def
1432
ref
1393
ref
appTerm
1831
def
1824
ref
varTerm
1832
def
appTerm
1833
def
appTerm
1834
def
appTerm
appTerm
1835
def
1817
ref
varTerm
1836
def
1834
ref
appTerm
1837
def
appTerm
absTerm
appTerm
absTerm
appTerm
absTerm
appTerm
absTerm
appTerm
1838
def
nil
cons
cons
1817
ref
"t"
1810
ref
var
1839
def
1836
ref
1839
ref
varTerm
1840
def
appTerm
absTerm
1841
def
nil
cons
cons
nil
cons
cons
nil
cons
cons
"A"
1828
remove
cons
1842
def
"B"
1812
ref
cons
1843
def
nil
cons
1844
def
cons
35
ref
cons
1596
ref
subst
1845
def
subst
132
ref
40
ref
0
ref
0
ref
1810
ref
8
ref
cons
opType
1846
def
8
ref
cons
opType
1847
def
constTerm
1848
def
refl
1849
def
"x"
1810
ref
var
1850
def
1850
ref
1826
ref
1841
ref
1850
ref
varTerm
1851
def
appTerm
appTerm
1838
ref
1851
ref
appTerm
appTerm
absTerm
1852
def
1851
ref
appTerm
betaConv
absThm
appThm
appThm
313
ref
70
ref
40
ref
0
ref
0
ref
1411
ref
8
ref
cons
opType
1853
def
8
ref
cons
opType
constTerm
1854
def
refl
1855
def
"b"
1411
ref
var
1856
def
1852
ref
1829
ref
76
ref
appTerm
1857
def
1856
ref
varTerm
1858
def
appTerm
1859
def
appTerm
betaConv
absThm
appThm
absThm
appThm
appThm
nil
"p"
1846
ref
var
1860
def
1852
remove
nil
cons
cons
nil
cons
nil
cons
cons
1466
ref
1402
ref
subst
1861
def
subst
eqMp
trans
313
ref
70
ref
132
ref
1855
ref
1856
ref
1856
ref
1826
ref
1841
ref
1859
ref
appTerm
appTerm
1838
ref
1859
ref
appTerm
appTerm
absTerm
1862
def
1858
ref
appTerm
betaConv
absThm
appThm
appThm
490
ref
1566
ref
1823
ref
refl
1863
def
1565
ref
1862
ref
1432
ref
1566
ref
varTerm
1864
def
appTerm
1565
ref
varTerm
1865
def
appTerm
1866
def
appTerm
betaConv
absThm
appThm
absThm
appThm
appThm
nil
"p"
1853
ref
var
1867
def
1862
remove
nil
cons
cons
nil
cons
nil
cons
cons
1332
ref
1402
ref
subst
1868
def
subst
eqMp
490
ref
1566
ref
1863
ref
1565
ref
1826
ref
refl
1869
def
nil
"y"
1810
ref
var
1857
ref
1866
ref
appTerm
1870
def
nil
cons
cons
nil
cons
nil
cons
cons
1843
remove
1842
ref
nil
cons
1871
def
cons
35
ref
cons
1299
remove
subst
subst
appThm
nil
1824
ref
1865
ref
nil
cons
1872
def
cons
1390
ref
1864
ref
nil
cons
1873
def
cons
196
ref
cons
cons
nil
cons
cons
1824
ref
1826
ref
1820
ref
"_1404"
1813
ref
var
1874
def
43
ref
49
ref
189
ref
1390
ref
1823
ref
1824
ref
1826
ref
1874
remove
varTerm
1834
ref
appTerm
appTerm
1837
ref
appTerm
absTerm
appTerm
absTerm
appTerm
absTerm
appTerm
absTerm
1875
def
appTerm
1876
def
1834
ref
appTerm
appTerm
1837
ref
appTerm
absTerm
1877
def
1832
ref
appTerm
1878
def
betaConv
1390
ref
1823
ref
1877
ref
appTerm
1879
def
absTerm
1880
def
1393
ref
appTerm
1881
def
betaConv
49
ref
189
ref
1880
ref
appTerm
1882
def
absTerm
1883
def
156
ref
appTerm
1884
def
betaConv
1875
ref
1876
remove
appTerm
1885
def
betaConv
1875
ref
"_1402"
1810
ref
var
1886
def
1836
ref
1829
ref
1205
ref
0
ref
0
ref
0
ref
1810
ref
19
ref
cons
opType
1887
def
8
ref
cons
opType
1887
ref
nil
cons
cons
opType
constTerm
"fn"
1887
ref
var
1888
def
43
ref
70
ref
1854
ref
1856
ref
186
ref
1888
remove
varTerm
1859
ref
appTerm
appTerm
76
ref
appTerm
absTerm
appTerm
absTerm
appTerm
absTerm
appTerm
1889
def
1886
remove
varTerm
1890
def
appTerm
appTerm
1432
ref
1205
ref
0
ref
0
ref
1468
ref
8
ref
cons
opType
1468
ref
nil
cons
cons
opType
constTerm
"fn"
1468
remove
var
1891
def
189
ref
1566
ref
1823
ref
1565
ref
202
ref
1891
remove
varTerm
1866
ref
appTerm
appTerm
1864
ref
appTerm
absTerm
appTerm
absTerm
appTerm
absTerm
appTerm
1892
def
1205
ref
0
ref
0
ref
0
ref
1810
ref
1412
remove
cons
opType
1893
def
8
ref
cons
opType
1893
ref
nil
cons
cons
opType
constTerm
"fn"
1893
ref
var
1894
def
43
ref
70
ref
1854
remove
1856
ref
12
ref
0
ref
1411
ref
1853
remove
nil
cons
cons
opType
constTerm
1894
remove
varTerm
1859
ref
appTerm
appTerm
1858
ref
appTerm
absTerm
appTerm
absTerm
appTerm
absTerm
appTerm
1895
def
1890
remove
appTerm
1896
def
appTerm
appTerm
1205
ref
0
ref
0
ref
1471
ref
8
ref
cons
opType
1471
ref
nil
cons
cons
opType
constTerm
"fn"
1471
remove
var
1897
def
189
ref
1566
ref
1823
ref
1565
ref
1209
ref
1897
remove
varTerm
1866
ref
appTerm
appTerm
1865
ref
appTerm
absTerm
appTerm
absTerm
appTerm
absTerm
appTerm
1898
def
1896
remove
appTerm
appTerm
appTerm
appTerm
absTerm
1899
def
appTerm
betaConv
sym
nil
44
ref
49
ref
189
ref
1390
ref
1823
ref
1824
ref
1826
ref
1899
ref
1834
ref
appTerm
1900
def
appTerm
1837
ref
appTerm
1901
def
absTerm
1902
def
appTerm
1903
def
absTerm
1904
def
appTerm
1905
def
absTerm
nil
cons
cons
nil
cons
nil
cons
cons
59
ref
subst
49
ref
nil
61
ref
1905
remove
nil
cons
cons
nil
cons
nil
cons
cons
67
ref
subst
nil
168
ref
1904
remove
nil
cons
cons
nil
cons
nil
cons
cons
174
ref
subst
1390
ref
nil
61
ref
1903
remove
nil
cons
cons
nil
cons
nil
cons
cons
67
ref
subst
nil
"P"
1207
ref
var
1906
def
1902
remove
nil
cons
cons
nil
cons
nil
cons
cons
1246
ref
59
ref
subst
1907
def
subst
1824
ref
nil
61
ref
1901
remove
nil
cons
cons
nil
cons
nil
cons
cons
67
ref
subst
1900
remove
betaConv
1826
ref
"_1398"
1055
ref
var
1908
def
1836
ref
1830
ref
1831
remove
1908
ref
varTerm
1909
def
appTerm
appTerm
appTerm
absTerm
1832
ref
appTerm
1910
def
appTerm
refl
1908
ref
1836
ref
1829
ref
1889
ref
1834
ref
appTerm
1911
def
appTerm
1912
def
1432
ref
1892
ref
1895
ref
1834
ref
appTerm
1913
def
appTerm
1914
def
appTerm
1915
def
1909
ref
appTerm
appTerm
appTerm
absTerm
1916
def
1898
ref
1913
ref
appTerm
1917
def
appTerm
betaConv
appThm
1869
ref
1910
remove
betaConv
appThm
1836
ref
1912
ref
1915
remove
1917
ref
appTerm
appTerm
appTerm
refl
appThm
trans
12
ref
0
ref
0
ref
1055
ref
1812
ref
cons
1918
def
opType
1919
def
0
ref
1919
ref
8
ref
cons
opType
nil
cons
cons
opType
constTerm
1920
def
"_1397"
3
ref
var
1921
def
1908
ref
1836
ref
1830
remove
1432
ref
1921
ref
varTerm
appTerm
1909
remove
appTerm
1922
def
appTerm
appTerm
absTerm
absTerm
1393
ref
appTerm
1923
def
appTerm
refl
1921
ref
1908
ref
1836
ref
1912
remove
1922
ref
appTerm
appTerm
absTerm
absTerm
1924
def
1914
ref
appTerm
betaConv
appThm
1920
remove
refl
1923
remove
betaConv
appThm
1916
remove
refl
appThm
trans
12
ref
0
ref
0
ref
3
ref
1919
remove
nil
cons
cons
opType
1925
def
0
ref
1925
ref
8
ref
cons
opType
nil
cons
cons
opType
constTerm
1926
def
"_1396"
2
ref
var
1927
def
1921
remove
1908
remove
1836
ref
1829
remove
1927
remove
varTerm
appTerm
1922
remove
appTerm
appTerm
absTerm
absTerm
absTerm
1928
def
156
ref
appTerm
1929
def
appTerm
refl
1928
ref
1911
remove
appTerm
betaConv
appThm
1926
remove
refl
1929
remove
betaConv
appThm
1924
remove
refl
appThm
trans
1928
remove
refl
nil
1856
ref
1833
ref
nil
cons
cons
70
ref
1256
remove
cons
nil
cons
cons
nil
cons
cons
1930
def
1466
ref
1671
ref
subst
1931
def
subst
appThm
eqMp
202
ref
1393
ref
appTerm
refl
202
ref
"_1392"
1411
ref
var
1932
def
1892
ref
1932
remove
varTerm
appTerm
absTerm
1933
def
1833
ref
appTerm
1934
def
appTerm
refl
1933
ref
1913
ref
appTerm
betaConv
appThm
202
ref
refl
1935
def
1934
remove
betaConv
appThm
1914
remove
refl
appThm
trans
1933
remove
refl
1936
def
1930
ref
1466
ref
1681
ref
subst
1937
def
subst
1938
def
appThm
eqMp
appThm
nil
1565
ref
1832
ref
nil
cons
1939
def
cons
1566
ref
1393
ref
nil
cons
1940
def
cons
nil
cons
cons
nil
cons
cons
1941
def
1332
ref
1671
ref
subst
1942
def
subst
eqMp
appThm
eqMp
1209
ref
1832
ref
appTerm
refl
1209
ref
"_1394"
1411
ref
var
1943
def
1898
ref
1943
remove
varTerm
appTerm
absTerm
1944
def
1833
remove
appTerm
1945
def
appTerm
refl
1944
ref
1913
remove
appTerm
betaConv
appThm
1240
ref
1945
remove
betaConv
appThm
1917
remove
refl
appThm
trans
1944
remove
refl
1946
def
1938
remove
appThm
eqMp
appThm
1941
ref
1332
remove
1681
ref
subst
1947
def
subst
eqMp
appThm
eqMp
sym
trans
eqMp
absThm
eqMp
eqMp
absThm
eqMp
eqMp
absThm
eqMp
eqMp
"A"
1819
remove
cons
nil
cons
1948
def
"P"
1814
ref
var
1949
def
1875
ref
nil
cons
1950
def
cons
"x"
1813
ref
var
1951
def
1899
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
1259
ref
subst
proveHyp
nil
90
ref
68
ref
1815
remove
constTerm
1875
remove
appTerm
nil
cons
cons
91
ref
1885
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
152
ref
subst
proveHyp
nil
"p"
1814
ref
var
1950
remove
cons
nil
cons
nil
cons
cons
1948
ref
35
ref
cons
1952
def
1328
ref
subst
subst
eqMp
eqMp
nil
90
ref
43
ref
1883
ref
appTerm
nil
cons
cons
91
ref
1884
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
152
ref
subst
proveHyp
195
ref
44
ref
1883
remove
nil
cons
cons
1257
remove
cons
nil
cons
cons
162
ref
subst
eqMp
eqMp
nil
90
ref
1882
remove
nil
cons
cons
91
ref
1881
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
152
ref
subst
proveHyp
172
ref
168
ref
1880
remove
nil
cons
cons
197
ref
1940
remove
cons
nil
cons
cons
nil
cons
cons
162
ref
subst
eqMp
eqMp
nil
90
ref
1879
remove
nil
cons
cons
91
ref
1878
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
152
ref
subst
proveHyp
1245
ref
1906
ref
1877
remove
nil
cons
cons
1243
ref
1939
remove
cons
nil
cons
cons
nil
cons
cons
162
ref
subst
eqMp
eqMp
subst
1953
def
appThm
nil
"x"
1811
ref
var
1954
def
1836
ref
1870
ref
appTerm
1955
def
nil
cons
cons
nil
cons
nil
cons
cons
"A"
1812
ref
cons
nil
cons
1956
def
35
ref
cons
1957
def
294
ref
subst
subst
1958
def
trans
absThm
appThm
705
ref
1246
ref
1111
ref
subst
subst
1959
def
trans
absThm
appThm
1248
ref
trans
trans
absThm
appThm
1249
ref
trans
trans
absThm
appThm
705
ref
1952
ref
1111
ref
subst
subst
trans
sym
66
ref
eqMp
1960
def
nil
1816
ref
1817
ref
12
ref
0
ref
1813
remove
1814
remove
nil
cons
cons
opType
constTerm
1961
def
1841
remove
appTerm
1838
remove
appTerm
absTerm
1962
def
appTerm
1963
def
thm
40
ref
0
ref
0
ref
0
ref
2
ref
1925
remove
nil
cons
cons
opType
1964
def
8
ref
cons
opType
8
ref
cons
opType
constTerm
1965
def
refl
"f"
1964
ref
var
1966
def
1961
ref
1820
ref
1817
ref
43
ref
49
ref
189
ref
1390
ref
1823
ref
1824
ref
1826
ref
1837
remove
appTerm
1966
ref
varTerm
1967
def
156
ref
appTerm
1393
remove
appTerm
1832
remove
appTerm
appTerm
absTerm
appTerm
absTerm
appTerm
absTerm
appTerm
absTerm
appTerm
1968
def
appTerm
1969
def
refl
1961
ref
refl
1839
ref
1839
remove
1967
ref
18
remove
1887
remove
constTerm
1840
ref
appTerm
appTerm
1469
remove
24
remove
1893
remove
constTerm
1840
ref
appTerm
1970
def
appTerm
appTerm
1472
remove
1970
remove
appTerm
appTerm
absTerm
1971
def
1840
remove
appTerm
betaConv
absThm
appThm
1820
ref
refl
1972
def
1821
ref
313
ref
49
ref
490
ref
1390
ref
1863
ref
1824
ref
1835
remove
refl
1973
def
1971
ref
1834
remove
appTerm
betaConv
appThm
absThm
appThm
absThm
appThm
absThm
appThm
absThm
appThm
appThm
nil
1817
ref
1971
ref
nil
cons
cons
nil
cons
nil
cons
cons
1962
ref
1836
ref
appTerm
1974
def
betaConv
1960
remove
nil
90
ref
1963
remove
nil
cons
cons
91
ref
1974
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
152
ref
subst
proveHyp
1948
remove
1949
ref
1962
remove
nil
cons
cons
1951
ref
1836
ref
nil
cons
1975
def
cons
nil
cons
cons
nil
cons
cons
162
ref
subst
eqMp
eqMp
subst
eqMp
1972
remove
1821
ref
313
ref
49
ref
490
ref
1390
remove
1863
ref
1824
remove
1973
remove
1967
remove
refl
1930
ref
1465
remove
195
ref
cons
35
ref
cons
200
remove
subst
subst
appThm
1563
remove
1930
remove
1466
remove
209
remove
subst
subst
1976
def
appThm
1941
ref
1568
remove
subst
trans
appThm
1569
remove
1976
remove
appThm
1941
remove
1570
remove
subst
trans
appThm
appThm
absThm
appThm
absThm
appThm
absThm
appThm
absThm
appThm
trans
appThm
nil
1951
remove
1968
remove
nil
cons
cons
nil
cons
nil
cons
cons
1952
ref
294
ref
subst
subst
trans
absThm
appThm
705
ref
"A"
1964
remove
nil
cons
cons
nil
cons
35
ref
cons
1111
ref
subst
subst
trans
sym
66
ref
eqMp
nil
1965
remove
1966
remove
1969
remove
1971
remove
appTerm
absTerm
appTerm
thm
nil
"P"
0
ref
0
ref
2
ref
0
ref
3
ref
1208
remove
cons
opType
1977
def
nil
cons
cons
opType
1978
def
8
ref
cons
opType
1979
def
var
1980
def
"p"
1978
ref
var
1981
def
39
ref
1848
remove
1205
ref
0
ref
1847
ref
1846
ref
nil
cons
1982
def
cons
opType
constTerm
1983
def
"f"
1846
ref
var
1984
def
43
ref
70
ref
189
ref
74
ref
1823
ref
"c"
1055
ref
var
1985
def
39
ref
1984
ref
varTerm
1857
remove
1432
remove
78
ref
appTerm
1985
ref
varTerm
1986
def
appTerm
1987
def
appTerm
1988
def
appTerm
appTerm
1981
ref
varTerm
1989
def
76
ref
appTerm
1990
def
78
ref
appTerm
1991
def
1986
ref
appTerm
1992
def
appTerm
absTerm
appTerm
absTerm
appTerm
absTerm
appTerm
absTerm
appTerm
1993
def
appTerm
appTerm
43
ref
70
ref
189
ref
74
ref
1823
ref
1985
ref
1992
ref
absTerm
1994
def
appTerm
absTerm
appTerm
absTerm
appTerm
1995
def
appTerm
1996
def
absTerm
1997
def
nil
cons
cons
nil
cons
nil
cons
cons
"A"
1978
remove
nil
cons
cons
nil
cons
35
ref
cons
59
ref
subst
1998
def
subst
1981
ref
nil
61
ref
1996
remove
nil
cons
cons
nil
cons
nil
cons
cons
67
ref
subst
132
ref
1871
remove
35
ref
cons
1999
def
56
remove
subst
1993
ref
refl
appThm
appThm
1995
remove
refl
appThm
sym
1860
ref
12
ref
0
ref
1846
ref
1847
ref
nil
cons
cons
opType
constTerm
1860
ref
varTerm
appTerm
1850
ref
50
remove
absTerm
2000
def
appTerm
absTerm
1993
ref
appTerm
betaConv
nil
"g"
1846
ref
var
2000
ref
nil
cons
cons
1984
remove
1993
ref
nil
cons
2001
def
cons
nil
cons
cons
nil
cons
cons
1842
remove
317
remove
cons
35
ref
cons
1596
ref
subst
subst
132
ref
1849
ref
1850
ref
1850
ref
39
ref
1993
ref
1851
ref
appTerm
2002
def
appTerm
2000
ref
1851
ref
appTerm
appTerm
absTerm
2003
def
1851
ref
appTerm
betaConv
absThm
appThm
appThm
313
ref
70
ref
1855
ref
1856
ref
2003
ref
1859
ref
appTerm
betaConv
absThm
appThm
absThm
appThm
appThm
nil
1860
ref
2003
remove
nil
cons
cons
nil
cons
nil
cons
cons
1861
ref
subst
eqMp
trans
trans
313
ref
70
ref
132
ref
1855
ref
1856
ref
1856
ref
39
ref
1993
ref
1859
ref
appTerm
2004
def
appTerm
2000
ref
1859
ref
appTerm
appTerm
absTerm
2005
def
1858
ref
appTerm
betaConv
absThm
appThm
appThm
490
ref
1566
ref
1863
ref
1565
ref
2005
ref
1866
ref
appTerm
betaConv
absThm
appThm
absThm
appThm
appThm
nil
1867
ref
2005
remove
nil
cons
cons
nil
cons
nil
cons
cons
1868
ref
subst
eqMp
490
ref
1566
ref
1863
ref
1565
ref
132
ref
nil
1985
ref
1872
remove
cons
74
ref
1873
remove
cons
nil
cons
2006
def
cons
nil
cons
cons
1985
ref
39
ref
1983
remove
"_1548"
1846
ref
var
2007
def
43
ref
70
ref
189
ref
74
ref
1823
ref
1985
ref
39
ref
2007
remove
varTerm
1988
ref
appTerm
appTerm
1992
ref
appTerm
absTerm
appTerm
absTerm
appTerm
absTerm
appTerm
absTerm
2008
def
appTerm
2009
def
1988
ref
appTerm
appTerm
1992
ref
appTerm
absTerm
2010
def
1986
ref
appTerm
2011
def
betaConv
74
ref
1823
ref
2010
ref
appTerm
2012
def
absTerm
2013
def
78
ref
appTerm
2014
def
betaConv
70
ref
189
ref
2013
ref
appTerm
2015
def
absTerm
2016
def
76
ref
appTerm
2017
def
betaConv
2008
ref
2009
remove
appTerm
2018
def
betaConv
2008
ref
"_1546"
1810
remove
var
2019
def
1989
ref
1889
ref
2019
remove
varTerm
2020
def
appTerm
appTerm
1892
ref
1895
ref
2020
remove
appTerm
2021
def
appTerm
appTerm
1898
ref
2021
remove
appTerm
appTerm
absTerm
2022
def
appTerm
betaConv
sym
nil
44
ref
70
ref
189
ref
74
ref
1823
ref
1985
ref
39
ref
2022
ref
1988
ref
appTerm
2023
def
appTerm
1992
remove
appTerm
2024
def
absTerm
2025
def
appTerm
2026
def
absTerm
2027
def
appTerm
2028
def
absTerm
nil
cons
cons
nil
cons
nil
cons
cons
59
ref
subst
70
ref
nil
61
ref
2028
remove
nil
cons
cons
nil
cons
nil
cons
cons
67
ref
subst
nil
168
ref
2027
remove
nil
cons
cons
nil
cons
nil
cons
cons
174
ref
subst
74
ref
nil
61
ref
2026
remove
nil
cons
cons
nil
cons
nil
cons
cons
67
ref
subst
nil
1906
ref
2025
remove
nil
cons
cons
nil
cons
nil
cons
cons
1907
ref
subst
1985
ref
nil
61
ref
2024
remove
nil
cons
cons
nil
cons
nil
cons
cons
67
ref
subst
2023
remove
betaConv
39
ref
"_1542"
1055
ref
var
2029
def
1991
remove
2029
ref
varTerm
2030
def
appTerm
absTerm
1986
ref
appTerm
2031
def
appTerm
refl
2029
ref
1989
ref
1889
remove
1988
ref
appTerm
2032
def
appTerm
2033
def
1892
ref
1895
remove
1988
ref
appTerm
2034
def
appTerm
2035
def
appTerm
2036
def
2030
ref
appTerm
absTerm
2037
def
1898
ref
2034
ref
appTerm
2038
def
appTerm
betaConv
appThm
132
ref
2031
remove
betaConv
appThm
2036
remove
2038
ref
appTerm
refl
appThm
trans
12
ref
0
ref
1207
ref
1822
ref
nil
cons
cons
opType
constTerm
2039
def
"_1541"
3
ref
var
2040
def
2029
ref
1990
ref
2040
ref
varTerm
2041
def
appTerm
2030
ref
appTerm
absTerm
absTerm
78
ref
appTerm
2042
def
appTerm
refl
2040
ref
2029
ref
2033
remove
2041
ref
appTerm
2030
ref
appTerm
absTerm
absTerm
2043
def
2035
ref
appTerm
betaConv
appThm
2039
remove
refl
2042
remove
betaConv
appThm
2037
remove
refl
appThm
trans
12
ref
0
ref
1977
ref
0
ref
1977
remove
8
ref
cons
opType
nil
cons
cons
opType
constTerm
2044
def
"_1540"
2
ref
var
2045
def
2040
remove
2029
remove
1989
ref
2045
remove
varTerm
appTerm
2041
remove
appTerm
2030
remove
appTerm
absTerm
absTerm
absTerm
2046
def
76
ref
appTerm
2047
def
appTerm
refl
2046
ref
2032
remove
appTerm
betaConv
appThm
2044
remove
refl
2047
remove
betaConv
appThm
2043
remove
refl
appThm
trans
2046
remove
refl
nil
1856
ref
1987
ref
nil
cons
cons
nil
cons
nil
cons
cons
2048
def
1931
remove
subst
appThm
eqMp
202
ref
78
ref
appTerm
refl
2049
def
202
ref
"_1426"
1411
ref
var
2050
def
1892
remove
2050
remove
varTerm
appTerm
absTerm
2051
def
1987
ref
appTerm
2052
def
appTerm
refl
2051
remove
2034
ref
appTerm
betaConv
appThm
1935
ref
2052
remove
betaConv
appThm
2035
remove
refl
appThm
trans
1936
remove
2048
remove
1937
remove
subst
2053
def
appThm
eqMp
appThm
nil
1565
ref
1986
ref
nil
cons
2054
def
cons
1566
ref
198
remove
cons
nil
cons
2055
def
cons
nil
cons
cons
2056
def
1942
remove
subst
eqMp
appThm
eqMp
1209
ref
1986
ref
appTerm
refl
2057
def
1209
ref
"_1428"
1411
remove
var
2058
def
1898
remove
2058
remove
varTerm
appTerm
absTerm
2059
def
1987
remove
appTerm
2060
def
appTerm
refl
2059
remove
2034
remove
appTerm
betaConv
appThm
1240
ref
2060
remove
betaConv
appThm
2038
remove
refl
appThm
trans
1946
remove
2053
remove
appThm
eqMp
appThm
2056
remove
1947
remove
subst
eqMp
appThm
eqMp
sym
trans
eqMp
absThm
eqMp
eqMp
absThm
eqMp
eqMp
absThm
eqMp
eqMp
"A"
1982
remove
cons
nil
cons
2061
def
"P"
1847
ref
var
2008
ref
nil
cons
2062
def
cons
"x"
1846
remove
var
2022
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
1259
ref
subst
proveHyp
nil
90
ref
68
ref
0
ref
1847
ref
8
ref
cons
opType
constTerm
2008
remove
appTerm
nil
cons
cons
91
ref
2018
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
152
ref
subst
proveHyp
nil
"p"
1847
ref
var
2062
remove
cons
nil
cons
nil
cons
cons
2061
remove
35
ref
cons
1328
ref
subst
subst
eqMp
eqMp
nil
90
ref
43
ref
2016
ref
appTerm
nil
cons
cons
91
ref
2017
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
152
ref
subst
proveHyp
195
ref
44
ref
2016
remove
nil
cons
cons
196
ref
cons
nil
cons
cons
162
ref
subst
eqMp
eqMp
nil
90
ref
2015
remove
nil
cons
cons
91
ref
2014
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
152
ref
subst
proveHyp
172
ref
168
ref
2013
remove
nil
cons
cons
199
ref
cons
nil
cons
cons
162
ref
subst
eqMp
eqMp
nil
90
ref
2012
remove
nil
cons
cons
91
ref
2011
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
152
ref
subst
proveHyp
1245
ref
1906
ref
2010
remove
nil
cons
cons
1243
ref
2054
ref
cons
nil
cons
2063
def
cons
nil
cons
cons
162
ref
subst
eqMp
eqMp
subst
2064
def
appThm
2000
remove
1870
remove
appTerm
betaConv
appThm
nil
61
ref
1990
remove
1864
ref
appTerm
1865
remove
appTerm
2065
def
nil
cons
cons
nil
cons
nil
cons
cons
1766
remove
subst
trans
absThm
appThm
absThm
appThm
trans
absThm
appThm
trans
eqMp
eqMp
absThm
eqMp
nil
40
ref
0
ref
1979
remove
8
ref
cons
opType
constTerm
2066
def
1997
remove
appTerm
thm
nil
1980
remove
1981
ref
39
ref
68
ref
1847
remove
constTerm
1993
remove
appTerm
2067
def
appTerm
69
remove
70
ref
73
ref
74
ref
68
ref
1822
remove
constTerm
2068
def
1994
remove
appTerm
absTerm
appTerm
absTerm
2069
def
appTerm
2070
def
appTerm
2071
def
absTerm
2072
def
nil
cons
cons
nil
cons
nil
cons
cons
1998
remove
subst
1981
remove
nil
61
ref
2071
remove
nil
cons
2073
def
cons
nil
cons
nil
cons
cons
67
ref
subst
132
ref
nil
1860
ref
2001
remove
cons
nil
cons
nil
cons
cons
1999
remove
1775
ref
subst
subst
132
ref
1849
ref
1850
ref
1850
ref
275
ref
2002
remove
appTerm
absTerm
2074
def
1851
ref
appTerm
betaConv
absThm
appThm
appThm
313
ref
70
ref
1855
ref
1856
ref
2074
ref
1859
ref
appTerm
betaConv
absThm
appThm
absThm
appThm
appThm
nil
1860
ref
2074
remove
nil
cons
cons
nil
cons
nil
cons
cons
1861
ref
subst
eqMp
trans
313
ref
70
ref
132
ref
1855
ref
1856
ref
1856
ref
275
ref
2004
remove
appTerm
absTerm
2075
def
1858
ref
appTerm
betaConv
absThm
appThm
appThm
490
ref
1566
ref
1863
ref
1565
ref
2075
ref
1866
ref
appTerm
betaConv
absThm
appThm
absThm
appThm
appThm
nil
1867
ref
2075
remove
nil
cons
cons
nil
cons
nil
cons
cons
1868
ref
subst
eqMp
490
ref
1566
ref
1863
ref
1565
ref
312
ref
2064
remove
appThm
absThm
appThm
absThm
appThm
trans
absThm
appThm
trans
appThm
nil
47
remove
2069
ref
nil
cons
cons
nil
cons
nil
cons
cons
1775
ref
subst
313
ref
49
ref
312
ref
2069
remove
156
ref
appTerm
betaConv
appThm
nil
574
remove
74
ref
2068
remove
1985
ref
1989
remove
156
remove
appTerm
2076
def
78
ref
appTerm
1986
ref
appTerm
absTerm
appTerm
absTerm
2077
def
nil
cons
cons
nil
cons
nil
cons
cons
1780
remove
subst
490
ref
197
ref
312
ref
2077
remove
211
ref
appTerm
betaConv
appThm
nil
"p"
1207
remove
var
1985
ref
2076
remove
211
ref
appTerm
1986
ref
appTerm
absTerm
2078
def
nil
cons
cons
nil
cons
nil
cons
cons
1246
remove
1775
remove
subst
subst
1863
ref
1243
ref
312
remove
2078
remove
1243
remove
varTerm
appTerm
betaConv
appThm
absThm
appThm
trans
trans
absThm
appThm
trans
trans
absThm
appThm
trans
appThm
nil
253
remove
43
ref
70
ref
189
ref
1566
ref
1823
ref
1565
ref
275
ref
2065
remove
appTerm
absTerm
appTerm
absTerm
appTerm
absTerm
appTerm
nil
cons
cons
nil
cons
nil
cons
cons
295
remove
subst
trans
sym
66
remove
eqMp
nil
90
ref
39
ref
275
ref
2067
ref
appTerm
appTerm
275
ref
2070
ref
appTerm
appTerm
nil
cons
cons
91
ref
2073
remove
cons
nil
cons
cons
nil
cons
cons
152
ref
subst
proveHyp
nil
91
ref
2070
remove
nil
cons
cons
90
ref
2067
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
1801
remove
subst
eqMp
eqMp
absThm
eqMp
nil
2066
remove
2072
remove
appTerm
thm
nil
1720
ref
1389
ref
260
remove
578
ref
92
ref
98
ref
1769
ref
appTerm
43
ref
70
ref
189
ref
74
ref
92
ref
1724
remove
appTerm
578
ref
varTerm
2079
def
79
remove
appTerm
appTerm
absTerm
2080
def
appTerm
2081
def
absTerm
2082
def
appTerm
2083
def
appTerm
2084
def
appTerm
2079
ref
1809
remove
appTerm
2085
def
appTerm
2086
def
absTerm
2087
def
appTerm
2088
def
absTerm
2089
def
nil
cons
cons
nil
cons
nil
cons
cons
1730
ref
subst
1389
ref
nil
61
ref
2088
remove
nil
cons
cons
nil
cons
nil
cons
cons
67
ref
subst
nil
308
remove
2087
remove
nil
cons
cons
nil
cons
nil
cons
cons
600
remove
subst
578
remove
nil
61
ref
2086
remove
nil
cons
cons
nil
cons
nil
cons
cons
67
ref
subst
nil
90
ref
2084
remove
nil
cons
2090
def
cons
91
ref
2085
ref
nil
cons
2091
def
cons
nil
cons
2092
def
cons
nil
cons
cons
2093
def
109
ref
subst
2093
remove
160
ref
subst
nil
128
ref
1785
ref
cons
130
ref
2083
remove
nil
cons
2094
def
cons
nil
cons
cons
nil
cons
cons
2095
def
144
ref
subst
2095
remove
638
remove
subst
nil
90
ref
1785
remove
cons
2096
def
2092
ref
cons
nil
cons
cons
152
ref
subst
nil
44
ref
"a0"
2
ref
var
2097
def
92
ref
1768
remove
2097
ref
varTerm
2098
def
appTerm
2099
def
appTerm
2085
ref
appTerm
2100
def
absTerm
nil
cons
cons
nil
cons
nil
cons
cons
59
ref
subst
2097
remove
nil
61
ref
2100
remove
nil
cons
cons
nil
cons
nil
cons
cons
67
ref
subst
nil
90
ref
2099
ref
nil
cons
2101
def
cons
2092
ref
cons
nil
cons
cons
2102
def
109
ref
subst
2102
remove
160
ref
subst
2099
ref
betaConv
2099
remove
assume
eqMp
nil
90
ref
73
remove
74
ref
1391
ref
2098
ref
appTerm
2103
def
78
ref
appTerm
absTerm
2104
def
appTerm
2105
def
nil
cons
cons
2092
ref
cons
nil
cons
cons
152
ref
subst
proveHyp
nil
168
ref
"b0"
3
ref
var
2106
def
92
ref
2104
ref
2106
ref
varTerm
2107
def
appTerm
2108
def
appTerm
2085
ref
appTerm
2109
def
absTerm
nil
cons
cons
nil
cons
nil
cons
cons
174
ref
subst
2106
remove
nil
61
ref
2109
remove
nil
cons
cons
nil
cons
nil
cons
cons
67
ref
subst
nil
90
ref
2108
ref
nil
cons
2110
def
cons
2092
ref
cons
nil
cons
cons
2111
def
109
ref
subst
2111
remove
160
ref
subst
2108
ref
betaConv
2108
remove
assume
eqMp
nil
90
ref
2103
remove
2107
ref
appTerm
nil
cons
2112
def
cons
2113
def
2092
remove
cons
nil
cons
cons
2114
def
152
ref
subst
proveHyp
2114
ref
109
ref
subst
2114
remove
160
ref
subst
1805
remove
39
remove
"_1580"
9
remove
var
2115
def
2079
ref
1802
remove
2115
remove
varTerm
appTerm
appTerm
absTerm
2116
def
1725
ref
appTerm
2117
def
appTerm
refl
2116
ref
1807
ref
appTerm
betaConv
appThm
132
ref
2117
remove
betaConv
appThm
2079
ref
1808
ref
appTerm
2118
def
refl
appThm
trans
2116
remove
refl
1731
remove
1725
remove
appTerm
1807
ref
appTerm
assume
appThm
eqMp
sym
nil
"P"
0
ref
0
ref
1385
ref
16
remove
cons
opType
2119
def
8
ref
cons
opType
2120
def
var
2121
def
"c"
2119
ref
var
2122
def
92
ref
1387
ref
1389
ref
88
ref
11
ref
92
ref
1806
ref
appTerm
2123
def
1391
ref
21
ref
2122
ref
varTerm
1391
ref
appTerm
2124
def
appTerm
2125
def
appTerm
26
ref
2124
ref
appTerm
2126
def
appTerm
2127
def
appTerm
absTerm
2128
def
appTerm
2129
def
absTerm
2130
def
appTerm
2131
def
appTerm
2132
def
2079
ref
2124
ref
appTerm
2133
def
appTerm
2134
def
absTerm
nil
cons
cons
nil
cons
nil
cons
cons
"A"
2119
ref
nil
cons
cons
nil
cons
2135
def
35
ref
cons
59
ref
subst
subst
2122
remove
nil
61
ref
2134
remove
nil
cons
cons
nil
cons
nil
cons
cons
67
ref
subst
nil
90
ref
2131
remove
nil
cons
2136
def
cons
2137
def
91
ref
2133
remove
nil
cons
2138
def
cons
nil
cons
cons
nil
cons
cons
2139
def
109
ref
subst
2139
remove
160
ref
subst
2079
ref
refl
2140
def
nil
11
ref
2124
remove
nil
cons
cons
nil
cons
nil
cons
cons
1054
remove
subst
appThm
sym
1410
remove
sym
nil
2096
remove
nil
cons
nil
cons
cons
296
remove
subst
sym
nil
90
ref
1784
ref
nil
cons
2141
def
cons
300
ref
cons
nil
cons
cons
2142
def
109
ref
subst
2142
remove
160
ref
subst
nil
2113
remove
300
remove
cons
nil
cons
cons
152
ref
subst
nil
"_1586"
3
ref
var
2143
def
2107
remove
nil
cons
cons
"_1585"
2
ref
var
2144
def
2098
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
nil
90
ref
1391
ref
2144
remove
varTerm
2145
def
appTerm
2146
def
2143
remove
varTerm
2147
def
appTerm
nil
cons
cons
nil
cons
nil
cons
cons
831
remove
subst
74
ref
275
remove
2146
remove
78
ref
appTerm
appTerm
absTerm
2148
def
2147
ref
appTerm
2149
def
betaConv
1782
ref
2145
ref
appTerm
2150
def
betaConv
1781
remove
1784
remove
assume
eqMp
nil
90
ref
1783
remove
cons
91
ref
2150
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
152
ref
subst
proveHyp
195
ref
44
ref
1782
remove
nil
cons
cons
49
ref
2145
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
162
ref
subst
eqMp
eqMp
nil
90
ref
189
ref
2148
ref
appTerm
nil
cons
cons
91
ref
2149
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
152
ref
subst
proveHyp
172
ref
168
ref
2148
remove
nil
cons
cons
197
ref
2147
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
162
ref
subst
eqMp
eqMp
eqMp
subst
eqMp
eqMp
nil
128
ref
2141
remove
cons
832
remove
cons
nil
cons
cons
144
ref
subst
deductAntisym
eqMp
eqMp
eqMp
nil
90
ref
487
remove
1807
ref
appTerm
2151
def
nil
cons
2152
def
cons
2153
def
91
ref
2127
ref
nil
cons
2154
def
cons
nil
cons
2155
def
cons
nil
cons
cons
2156
def
152
ref
subst
proveHyp
2156
ref
109
ref
subst
2156
remove
160
ref
subst
nil
2137
ref
2155
ref
cons
nil
cons
cons
2157
def
152
ref
subst
nil
2153
remove
91
ref
2132
remove
2127
remove
appTerm
2158
def
nil
cons
2159
def
cons
nil
cons
2160
def
cons
nil
cons
cons
152
ref
subst
nil
10
ref
11
ref
92
ref
1807
ref
22
ref
appTerm
2161
def
appTerm
2158
ref
appTerm
2162
def
absTerm
2163
def
nil
cons
cons
nil
cons
nil
cons
cons
60
remove
subst
11
ref
nil
61
ref
2162
remove
nil
cons
cons
nil
cons
nil
cons
cons
67
ref
subst
nil
90
ref
2161
ref
nil
cons
2164
def
cons
2160
ref
cons
nil
cons
cons
2165
def
109
ref
subst
2165
remove
160
ref
subst
2161
ref
betaConv
2166
def
2161
remove
assume
eqMp
nil
90
ref
1806
remove
nil
cons
2167
def
cons
2168
def
2160
remove
cons
nil
cons
cons
2169
def
152
ref
subst
proveHyp
2169
ref
109
ref
subst
2169
remove
160
ref
subst
2157
ref
109
ref
subst
2157
remove
160
ref
subst
nil
2168
remove
2155
remove
cons
nil
cons
cons
152
ref
subst
2128
ref
22
remove
appTerm
2170
def
betaConv
2130
ref
1391
ref
appTerm
2171
def
betaConv
nil
2137
remove
91
ref
2171
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
152
ref
subst
1405
remove
1720
ref
2130
remove
nil
cons
cons
"x"
1385
remove
var
1803
remove
cons
nil
cons
cons
nil
cons
cons
162
ref
subst
eqMp
eqMp
nil
90
ref
2129
remove
nil
cons
cons
91
ref
2170
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
152
ref
subst
proveHyp
34
ref
10
ref
2128
remove
nil
cons
cons
154
remove
cons
nil
cons
cons
162
ref
subst
eqMp
eqMp
eqMp
eqMp
nil
128
ref
2136
remove
cons
2172
def
130
ref
2154
ref
cons
nil
cons
2173
def
cons
nil
cons
cons
144
ref
subst
deductAntisym
eqMp
eqMp
nil
128
ref
2167
remove
cons
130
ref
2159
remove
cons
nil
cons
2174
def
cons
nil
cons
cons
144
ref
subst
deductAntisym
eqMp
eqMp
eqMp
nil
128
ref
2164
remove
cons
2174
ref
cons
nil
cons
cons
144
ref
subst
deductAntisym
eqMp
eqMp
absThm
eqMp
nil
90
ref
88
ref
2163
remove
appTerm
nil
cons
cons
91
ref
92
ref
2151
remove
appTerm
2158
remove
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
152
ref
subst
proveHyp
34
ref
10
remove
1807
ref
nil
cons
cons
2175
def
2174
remove
cons
nil
cons
cons
256
ref
subst
eqMp
eqMp
eqMp
eqMp
nil
128
ref
2152
remove
cons
2173
remove
cons
nil
cons
cons
144
ref
subst
deductAntisym
eqMp
eqMp
nil
90
ref
2154
remove
cons
91
ref
2079
ref
17
remove
2125
ref
appTerm
2126
ref
appTerm
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
152
ref
subst
proveHyp
nil
74
ref
2126
remove
nil
cons
cons
70
ref
2125
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
2080
ref
78
ref
appTerm
2176
def
betaConv
2082
ref
76
ref
appTerm
2177
def
betaConv
nil
90
ref
2094
remove
cons
91
ref
2177
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
152
ref
subst
195
ref
44
ref
2082
remove
nil
cons
cons
196
ref
cons
nil
cons
cons
162
ref
subst
eqMp
eqMp
nil
90
ref
2081
remove
nil
cons
cons
91
ref
2176
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
152
ref
subst
proveHyp
172
ref
168
ref
2080
remove
nil
cons
cons
199
ref
cons
nil
cons
cons
162
ref
subst
eqMp
eqMp
subst
eqMp
eqMp
eqMp
nil
2172
remove
130
ref
2138
remove
cons
nil
cons
cons
nil
cons
cons
144
ref
subst
deductAntisym
eqMp
eqMp
absThm
eqMp
nil
90
ref
40
ref
0
ref
2120
ref
8
ref
cons
opType
constTerm
"_1584"
2119
ref
var
2178
def
92
ref
1387
ref
1389
ref
88
ref
11
ref
2123
ref
1391
ref
21
ref
2178
ref
varTerm
2179
def
1391
ref
appTerm
2180
def
appTerm
appTerm
26
ref
2180
ref
appTerm
appTerm
appTerm
absTerm
appTerm
absTerm
appTerm
appTerm
2079
remove
2180
ref
appTerm
appTerm
absTerm
2181
def
appTerm
2182
def
nil
cons
2183
def
cons
2184
def
91
ref
2118
ref
nil
cons
2185
def
cons
nil
cons
2186
def
cons
nil
cons
cons
152
ref
subst
proveHyp
1389
ref
1808
ref
absTerm
2187
def
refl
nil
90
ref
12
ref
0
ref
2119
ref
2120
remove
nil
cons
cons
opType
constTerm
2188
def
2187
ref
appTerm
2187
ref
appTerm
nil
cons
cons
91
ref
92
ref
2182
remove
appTerm
2189
def
2118
ref
appTerm
2190
def
nil
cons
2191
def
cons
nil
cons
2192
def
cons
nil
cons
cons
152
ref
subst
proveHyp
nil
2178
remove
2187
ref
nil
cons
cons
nil
cons
nil
cons
cons
nil
90
ref
2188
remove
2179
ref
appTerm
2187
ref
appTerm
2193
def
nil
cons
2194
def
cons
2192
ref
cons
nil
cons
cons
2195
def
109
ref
subst
2195
remove
160
ref
subst
nil
90
ref
92
ref
1387
ref
1389
ref
88
remove
11
ref
2123
ref
1391
ref
21
ref
1808
ref
appTerm
appTerm
26
ref
1808
ref
appTerm
appTerm
appTerm
absTerm
appTerm
2196
def
absTerm
2197
def
appTerm
2198
def
appTerm
2118
ref
appTerm
2199
def
nil
cons
2200
def
cons
2186
ref
cons
nil
cons
cons
2201
def
109
ref
subst
2201
remove
160
ref
subst
nil
1720
remove
2197
remove
nil
cons
cons
nil
cons
nil
cons
cons
1730
remove
subst
1389
ref
nil
61
ref
2196
remove
nil
cons
cons
nil
cons
nil
cons
cons
67
ref
subst
471
ref
11
ref
713
ref
2166
remove
appThm
1807
remove
1808
remove
appTerm
betaConv
appThm
absThm
appThm
34
remove
2175
remove
nil
cons
nil
cons
cons
1312
remove
45
remove
appTerm
2202
def
betaConv
1315
remove
nil
1316
remove
91
ref
2202
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
152
ref
subst
proveHyp
351
remove
1317
remove
353
remove
315
remove
cons
nil
cons
cons
nil
cons
cons
162
ref
subst
eqMp
eqMp
subst
eqMp
eqMp
absThm
eqMp
nil
90
ref
2198
remove
nil
cons
cons
2186
remove
cons
nil
cons
cons
152
ref
subst
proveHyp
2199
ref
assume
eqMp
eqMp
nil
128
ref
2200
ref
cons
130
ref
2185
ref
cons
nil
cons
cons
nil
cons
cons
144
ref
subst
deductAntisym
eqMp
nil
90
ref
92
ref
2199
ref
appTerm
2118
remove
appTerm
2203
def
nil
cons
cons
2192
remove
cons
nil
cons
cons
152
ref
subst
proveHyp
nil
2184
ref
91
ref
2200
ref
cons
2204
def
nil
cons
cons
nil
cons
cons
2205
def
109
ref
subst
2205
remove
160
ref
subst
713
remove
1388
remove
1389
remove
471
remove
11
remove
2123
remove
refl
1403
ref
21
remove
refl
14
remove
2180
remove
appTerm
refl
2187
remove
1391
remove
appTerm
betaConv
appThm
2193
remove
assume
1403
remove
appThm
eqMp
sym
2206
def
appThm
appThm
26
remove
refl
2206
ref
appThm
appThm
appThm
absThm
appThm
absThm
appThm
appThm
2140
remove
2206
remove
appThm
appThm
sym
2181
ref
2179
ref
appTerm
2207
def
betaConv
nil
2184
ref
91
ref
2207
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
152
ref
subst
2135
remove
2121
remove
2181
remove
nil
cons
cons
"x"
2119
remove
var
2179
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
162
ref
subst
eqMp
eqMp
eqMp
eqMp
nil
128
ref
2183
remove
cons
130
ref
2200
remove
cons
nil
cons
cons
nil
cons
cons
144
ref
subst
deductAntisym
eqMp
nil
90
ref
2189
remove
2199
remove
appTerm
nil
cons
cons
91
ref
92
ref
2203
remove
appTerm
2190
remove
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
152
ref
subst
proveHyp
nil
2184
remove
2204
remove
456
remove
2185
remove
cons
nil
cons
cons
cons
nil
cons
cons
nil
975
remove
91
ref
465
remove
467
ref
appTerm
nil
cons
2208
def
cons
nil
cons
cons
nil
cons
cons
2209
def
109
ref
subst
2209
remove
160
ref
subst
nil
90
ref
464
ref
nil
cons
2210
def
cons
91
ref
467
remove
nil
cons
2211
def
cons
nil
cons
cons
nil
cons
cons
2212
def
109
ref
subst
2212
remove
160
ref
subst
nil
1154
remove
91
ref
738
ref
cons
nil
cons
2213
def
cons
nil
cons
cons
2214
def
109
remove
subst
2214
remove
160
ref
subst
151
remove
nil
978
remove
2213
remove
cons
nil
cons
cons
152
ref
subst
proveHyp
464
remove
assume
eqMp
eqMp
nil
129
remove
130
ref
738
remove
cons
nil
cons
cons
nil
cons
cons
144
ref
subst
deductAntisym
eqMp
eqMp
nil
128
ref
2210
remove
cons
130
ref
2211
remove
cons
nil
cons
cons
nil
cons
cons
144
ref
subst
deductAntisym
eqMp
eqMp
nil
983
remove
130
ref
2208
remove
cons
nil
cons
cons
nil
cons
cons
144
ref
subst
deductAntisym
eqMp
subst
eqMp
eqMp
eqMp
nil
128
ref
2194
remove
cons
130
ref
2191
remove
cons
nil
cons
cons
nil
cons
cons
144
ref
subst
deductAntisym
eqMp
subst
eqMp
eqMp
eqMp
proveHyp
eqMp
nil
128
ref
2112
remove
cons
130
remove
2091
remove
cons
nil
cons
2215
def
cons
nil
cons
cons
144
ref
subst
deductAntisym
eqMp
eqMp
eqMp
nil
128
ref
2110
remove
cons
2215
ref
cons
nil
cons
cons
144
ref
subst
deductAntisym
eqMp
eqMp
absThm
eqMp
nil
90
ref
189
ref
197
remove
92
ref
2104
ref
211
remove
appTerm
appTerm
2085
ref
appTerm
absTerm
appTerm
nil
cons
cons
91
ref
92
ref
2105
remove
appTerm
2085
ref
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
152
ref
subst
proveHyp
172
ref
168
ref
2104
remove
nil
cons
cons
2215
ref
cons
nil
cons
cons
256
ref
subst
eqMp
eqMp
eqMp
nil
128
ref
2101
remove
cons
2215
ref
cons
nil
cons
cons
144
ref
subst
deductAntisym
eqMp
eqMp
absThm
eqMp
nil
90
ref
43
ref
49
remove
92
ref
1778
remove
appTerm
2085
ref
appTerm
absTerm
appTerm
nil
cons
cons
91
ref
92
remove
1769
remove
appTerm
2085
remove
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
152
ref
subst
proveHyp
195
ref
44
ref
1777
remove
cons
2215
ref
cons
nil
cons
cons
256
remove
subst
eqMp
eqMp
proveHyp
proveHyp
eqMp
nil
128
remove
2090
remove
cons
2215
remove
cons
nil
cons
cons
144
remove
subst
deductAntisym
eqMp
eqMp
absThm
eqMp
eqMp
absThm
eqMp
nil
1387
remove
2089
remove
appTerm
thm
nil
1214
remove
1077
ref
1687
remove
1579
remove
appTerm
1078
remove
appTerm
absTerm
2216
def
nil
cons
cons
nil
cons
nil
cons
cons
1664
remove
subst
1077
remove
1715
remove
absThm
eqMp
nil
90
ref
1076
remove
2216
remove
appTerm
2217
def
nil
cons
cons
91
ref
98
ref
1816
remove
1817
ref
1961
remove
1820
remove
1821
remove
43
ref
70
ref
189
ref
74
ref
1823
ref
1985
ref
1826
ref
1827
remove
1988
ref
appTerm
appTerm
1836
ref
1988
remove
appTerm
appTerm
absTerm
appTerm
absTerm
appTerm
absTerm
appTerm
absTerm
appTerm
2218
def
appTerm
1836
ref
appTerm
absTerm
2219
def
appTerm
2220
def
appTerm
40
ref
0
ref
0
ref
0
ref
1
ref
2
ref
1
ref
3
ref
1
remove
1918
remove
opType
2221
def
nil
cons
2222
def
cons
opType
2223
def
nil
cons
2224
def
cons
opType
2225
def
"E"
varType
2226
def
nil
cons
2227
def
cons
opType
2228
def
8
ref
cons
opType
2229
def
8
ref
cons
opType
2230
def
constTerm
"f"
2228
ref
var
2231
def
12
ref
0
ref
2228
ref
2229
ref
nil
cons
cons
opType
constTerm
1205
ref
0
ref
2229
ref
2228
ref
nil
cons
2232
def
cons
opType
constTerm
2233
def
"f'"
2228
ref
var
2234
def
43
ref
70
ref
189
ref
74
ref
1823
ref
1985
ref
40
ref
0
ref
1825
ref
8
ref
cons
opType
constTerm
2235
def
"d"
1811
ref
var
2236
def
12
ref
0
ref
2226
ref
0
ref
2226
ref
8
ref
cons
opType
nil
cons
cons
opType
constTerm
2237
def
2234
remove
varTerm
15
ref
0
ref
2
ref
0
ref
2223
ref
2225
ref
nil
cons
2238
def
cons
opType
nil
cons
cons
opType
constTerm
2239
def
76
ref
appTerm
2240
def
15
ref
0
ref
3
ref
0
ref
2221
ref
2224
ref
cons
opType
nil
cons
cons
opType
constTerm
2241
def
78
ref
appTerm
2242
def
15
remove
0
ref
1055
ref
0
ref
1811
ref
2222
ref
cons
opType
nil
cons
cons
opType
constTerm
2243
def
1986
ref
appTerm
2244
def
2236
ref
varTerm
2245
def
appTerm
2246
def
appTerm
2247
def
appTerm
2248
def
appTerm
appTerm
2231
ref
varTerm
2249
def
2248
ref
appTerm
2250
def
appTerm
absTerm
appTerm
absTerm
appTerm
absTerm
appTerm
absTerm
appTerm
absTerm
appTerm
2251
def
appTerm
2249
ref
appTerm
absTerm
2252
def
appTerm
2253
def
appTerm
2254
def
nil
cons
cons
nil
cons
cons
nil
cons
cons
160
ref
subst
proveHyp
nil
1949
remove
2219
remove
nil
cons
cons
nil
cons
nil
cons
cons
1952
remove
59
ref
subst
subst
1817
ref
nil
1818
remove
1975
remove
cons
1817
remove
2218
ref
nil
cons
cons
nil
cons
cons
nil
cons
cons
1845
remove
subst
132
ref
1849
remove
1850
ref
1850
remove
1826
ref
2218
ref
1851
ref
appTerm
appTerm
1836
ref
1851
ref
appTerm
appTerm
absTerm
2255
def
1851
remove
appTerm
betaConv
absThm
appThm
appThm
313
ref
70
ref
1855
ref
1856
ref
2255
ref
1859
ref
appTerm
betaConv
absThm
appThm
absThm
appThm
appThm
nil
1860
remove
2255
remove
nil
cons
cons
nil
cons
nil
cons
cons
1861
remove
subst
eqMp
trans
313
ref
70
ref
132
ref
1855
remove
1856
ref
1856
remove
1826
ref
2218
remove
1859
ref
appTerm
appTerm
1836
remove
1859
remove
appTerm
appTerm
absTerm
2256
def
1858
remove
appTerm
betaConv
absThm
appThm
appThm
490
ref
1566
ref
1863
ref
1565
ref
2256
ref
1866
remove
appTerm
betaConv
absThm
appThm
absThm
appThm
appThm
nil
1867
remove
2256
remove
nil
cons
cons
nil
cons
nil
cons
cons
1868
remove
subst
eqMp
490
ref
1566
ref
1863
ref
1565
remove
1869
ref
1953
remove
appThm
1955
remove
refl
appThm
1958
remove
trans
absThm
appThm
1959
ref
trans
absThm
appThm
1248
ref
trans
trans
absThm
appThm
1249
ref
trans
trans
absThm
eqMp
nil
90
ref
2220
remove
nil
cons
cons
91
ref
2253
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
160
remove
subst
proveHyp
nil
"P"
2229
ref
var
2257
def
2252
remove
nil
cons
cons
nil
cons
nil
cons
cons
"A"
2232
remove
cons
nil
cons
2258
def
35
ref
cons
2259
def
59
ref
subst
subst
2231
ref
nil
"g"
2228
ref
var
2249
ref
nil
cons
cons
2231
remove
2251
ref
nil
cons
cons
nil
cons
cons
nil
cons
cons
"A"
2238
remove
cons
"B"
2227
ref
cons
nil
cons
cons
35
ref
cons
1596
remove
subst
subst
132
ref
40
ref
0
ref
0
ref
2225
ref
8
ref
cons
opType
2260
def
8
ref
cons
opType
constTerm
refl
"x"
2225
ref
var
2261
def
2261
ref
2237
ref
2251
ref
2261
remove
varTerm
2262
def
appTerm
appTerm
2249
ref
2262
ref
appTerm
appTerm
absTerm
2263
def
2262
remove
appTerm
betaConv
absThm
appThm
appThm
313
ref
70
ref
40
ref
0
ref
0
ref
2223
ref
8
ref
cons
opType
2264
def
8
ref
cons
opType
constTerm
2265
def
refl
2266
def
"b"
2223
ref
var
2267
def
2263
ref
2240
ref
2267
ref
varTerm
2268
def
appTerm
2269
def
appTerm
betaConv
absThm
appThm
absThm
appThm
appThm
nil
"p"
2260
remove
var
2263
remove
nil
cons
cons
nil
cons
nil
cons
cons
194
remove
"B"
2224
ref
cons
nil
cons
cons
35
ref
cons
2270
def
1402
ref
subst
subst
eqMp
trans
313
remove
70
ref
132
ref
2266
remove
2267
ref
2267
ref
2237
ref
2251
ref
2269
ref
appTerm
appTerm
2249
ref
2269
ref
appTerm
appTerm
absTerm
2271
def
2268
ref
appTerm
betaConv
absThm
appThm
appThm
490
ref
1566
ref
40
remove
0
ref
0
ref
2221
ref
8
ref
cons
opType
2272
def
8
ref
cons
opType
constTerm
2273
def
refl
2274
def
"b"
2221
ref
var
2275
def
2271
ref
2241
ref
1864
ref
appTerm
2276
def
2275
ref
varTerm
2277
def
appTerm
2278
def
appTerm
betaConv
absThm
appThm
absThm
appThm
appThm
nil
"p"
2264
ref
var
2271
remove
nil
cons
cons
nil
cons
nil
cons
cons
171
remove
"B"
2222
ref
cons
nil
cons
cons
35
ref
cons
2279
def
1402
ref
subst
subst
eqMp
490
remove
1566
ref
132
remove
2274
remove
2275
ref
2275
ref
2237
ref
2251
remove
2240
ref
2278
ref
appTerm
2280
def
appTerm
appTerm
2249
ref
2280
remove
appTerm
appTerm
absTerm
2281
def
2277
ref
appTerm
betaConv
absThm
appThm
appThm
1863
ref
"a"
1055
ref
var
2282
def
2235
ref
refl
2283
def
"b"
1811
ref
var
2284
def
2281
ref
2243
ref
2282
ref
varTerm
2285
def
appTerm
2284
ref
varTerm
2286
def
appTerm
2287
def
appTerm
betaConv
absThm
appThm
absThm
appThm
appThm
nil
"p"
2272
ref
var
2281
remove
nil
cons
cons
nil
cons
nil
cons
cons
1244
remove
1844
remove
cons
35
ref
cons
2288
def
1402
remove
subst
subst
eqMp
1863
remove
2282
ref
2283
remove
2284
ref
2237
ref
refl
2289
def
nil
2236
ref
2286
ref
nil
cons
cons
1985
ref
2285
ref
nil
cons
cons
2006
remove
cons
cons
nil
cons
cons
2236
ref
2237
ref
2233
remove
"_1468"
2228
ref
var
2290
def
43
ref
70
ref
189
ref
74
ref
1823
ref
1985
ref
2235
ref
2236
ref
2237
ref
2290
remove
varTerm
2248
ref
appTerm
appTerm
2250
ref
appTerm
absTerm
appTerm
absTerm
appTerm
absTerm
appTerm
absTerm
appTerm
absTerm
2291
def
appTerm
2292
def
2248
ref
appTerm
appTerm
2250
ref
appTerm
absTerm
2293
def
2245
ref
appTerm
2294
def
betaConv
1985
ref
2235
ref
2293
ref
appTerm
2295
def
absTerm
2296
def
1986
ref
appTerm
2297
def
betaConv
74
ref
1823
ref
2296
ref
appTerm
2298
def
absTerm
2299
def
78
ref
appTerm
2300
def
betaConv
70
ref
189
ref
2299
ref
appTerm
2301
def
absTerm
2302
def
76
ref
appTerm
2303
def
betaConv
2291
ref
2292
remove
appTerm
2304
def
betaConv
2291
ref
"_1466"
2225
ref
var
2305
def
2249
ref
2239
ref
1205
ref
0
ref
0
ref
0
ref
2225
ref
19
remove
cons
opType
2306
def
8
ref
cons
opType
2306
ref
nil
cons
cons
opType
constTerm
"fn"
2306
remove
var
2307
def
43
ref
70
ref
2265
ref
2267
ref
186
remove
2307
remove
varTerm
2269
ref
appTerm
appTerm
76
ref
appTerm
absTerm
appTerm
absTerm
appTerm
absTerm
appTerm
2308
def
2305
remove
varTerm
2309
def
appTerm
appTerm
2241
ref
1205
ref
0
ref
0
ref
0
ref
2223
ref
4
remove
cons
opType
2310
def
8
ref
cons
opType
2310
ref
nil
cons
cons
opType
constTerm
"fn"
2310
remove
var
2311
def
189
ref
1566
ref
2273
ref
2275
ref
202
ref
2311
remove
varTerm
2278
ref
appTerm
appTerm
1864
remove
appTerm
absTerm
appTerm
absTerm
appTerm
absTerm
appTerm
2312
def
1205
ref
0
ref
0
ref
0
ref
2225
remove
2224
remove
cons
opType
2313
def
8
ref
cons
opType
2313
ref
nil
cons
cons
opType
constTerm
"fn"
2313
remove
var
2314
def
43
ref
70
ref
2265
remove
2267
ref
12
ref
0
ref
2223
ref
2264
remove
nil
cons
cons
opType
constTerm
2314
remove
varTerm
2269
remove
appTerm
appTerm
2268
remove
appTerm
absTerm
appTerm
absTerm
appTerm
absTerm
appTerm
2315
def
2309
remove
appTerm
2316
def
appTerm
appTerm
2243
ref
1205
ref
0
ref
0
ref
0
ref
2221
ref
1056
remove
cons
opType
2317
def
8
ref
cons
opType
2317
ref
nil
cons
cons
opType
constTerm
"fn"
2317
remove
var
2318
def
1823
ref
2282
ref
2235
ref
2284
ref
1209
ref
2318
remove
varTerm
2287
ref
appTerm
appTerm
2285
remove
appTerm
absTerm
appTerm
absTerm
appTerm
absTerm
appTerm
2319
def
1205
ref
0
ref
0
ref
0
ref
2223
ref
2222
remove
cons
opType
2320
def
8
ref
cons
opType
2320
ref
nil
cons
cons
opType
constTerm
"fn"
2320
remove
var
2321
def
189
ref
1566
remove
2273
remove
2275
ref
12
ref
0
ref
2221
ref
2272
remove
nil
cons
cons
opType
constTerm
2321
remove
varTerm
2278
remove
appTerm
appTerm
2277
remove
appTerm
absTerm
appTerm
absTerm
appTerm
absTerm
appTerm
2322
def
2316
remove
appTerm
2323
def
appTerm
appTerm
1205
remove
0
ref
0
ref
0
ref
2221
ref
1812
remove
cons
opType
2324
def
8
ref
cons
opType
2324
ref
nil
cons
cons
opType
constTerm
"fn"
2324
remove
var
2325
def
1823
ref
2282
ref
2235
ref
2284
ref
1826
ref
2325
remove
varTerm
2287
ref
appTerm
appTerm
2286
remove
appTerm
absTerm
appTerm
absTerm
appTerm
absTerm
appTerm
2326
def
2323
remove
appTerm
appTerm
appTerm
appTerm
appTerm
absTerm
2327
def
appTerm
betaConv
sym
nil
44
ref
70
ref
189
remove
74
ref
1823
remove
1985
ref
2235
remove
2236
ref
2237
ref
2327
ref
2248
ref
appTerm
2328
def
appTerm
2250
remove
appTerm
2329
def
absTerm
2330
def
appTerm
2331
def
absTerm
2332
def
appTerm
2333
def
absTerm
2334
def
appTerm
2335
def
absTerm
nil
cons
cons
nil
cons
nil
cons
cons
59
ref
subst
70
remove
nil
61
ref
2335
remove
nil
cons
cons
nil
cons
nil
cons
cons
67
ref
subst
nil
168
ref
2334
remove
nil
cons
cons
nil
cons
nil
cons
cons
174
remove
subst
74
remove
nil
61
ref
2333
remove
nil
cons
cons
nil
cons
nil
cons
cons
67
ref
subst
nil
1906
ref
2332
remove
nil
cons
cons
nil
cons
nil
cons
cons
1907
remove
subst
1985
remove
nil
61
ref
2331
remove
nil
cons
cons
nil
cons
nil
cons
cons
67
ref
subst
nil
"P"
1825
remove
var
2336
def
2330
remove
nil
cons
cons
nil
cons
nil
cons
cons
1957
ref
59
remove
subst
subst
2236
remove
nil
61
remove
2329
remove
nil
cons
cons
nil
cons
nil
cons
cons
67
remove
subst
2328
remove
betaConv
2237
remove
"_1461"
1811
ref
var
2337
def
2249
ref
2240
ref
2242
ref
2244
remove
2337
ref
varTerm
2338
def
appTerm
appTerm
appTerm
appTerm
absTerm
2245
ref
appTerm
2339
def
appTerm
refl
2337
ref
2249
ref
2239
ref
2308
remove
2248
ref
appTerm
2340
def
appTerm
2341
def
2241
ref
2312
ref
2315
remove
2248
remove
appTerm
2342
def
appTerm
2343
def
appTerm
2344
def
2243
ref
2319
ref
2322
ref
2342
ref
appTerm
2345
def
appTerm
2346
def
appTerm
2347
def
2338
ref
appTerm
appTerm
appTerm
appTerm
absTerm
2348
def
2326
ref
2345
remove
appTerm
2349
def
appTerm
betaConv
appThm
2289
remove
2339
remove
betaConv
appThm
2249
ref
2341
ref
2344
ref
2347
remove
2349
ref
appTerm
appTerm
appTerm
appTerm
refl
appThm
trans
12
ref
0
ref
0
ref
1811
remove
2227
ref
cons
opType
2350
def
0
ref
2350
ref
8
ref
cons
opType
nil
cons
cons
opType
constTerm
2351
def
"_1460"
1055
ref
var
2352
def
2337
ref
2249
ref
2240
ref
2242
remove
2243
remove
2352
ref
varTerm
appTerm
2338
remove
appTerm
2353
def
appTerm
appTerm
appTerm
absTerm
absTerm
1986
remove
appTerm
2354
def
appTerm
refl
2352
ref
2337
ref
2249
ref
2341
ref
2344
remove
2353
ref
appTerm
appTerm
appTerm
absTerm
absTerm
2355
def
2346
ref
appTerm
betaConv
appThm
2351
remove
refl
2354
remove
betaConv
appThm
2348
remove
refl
appThm
trans
12
ref
0
ref
0
ref
1055
remove
2350
remove
nil
cons
cons
opType
2356
def
0
ref
2356
ref
8
ref
cons
opType
nil
cons
cons
opType
constTerm
2357
def
"_1459"
3
ref
var
2358
def
2352
ref
2337
ref
2249
ref
2240
ref
2241
remove
2358
ref
varTerm
appTerm
2353
remove
appTerm
2359
def
appTerm
appTerm
absTerm
absTerm
absTerm
78
remove
appTerm
2360
def
appTerm
refl
2358
ref
2352
ref
2337
ref
2249
ref
2341
remove
2359
ref
appTerm
appTerm
absTerm
absTerm
absTerm
2361
def
2343
ref
appTerm
betaConv
appThm
2357
remove
refl
2360
remove
betaConv
appThm
2355
remove
refl
appThm
trans
12
remove
0
ref
0
ref
3
remove
2356
remove
nil
cons
cons
opType
2362
def
0
remove
2362
remove
8
remove
cons
opType
nil
cons
cons
opType
constTerm
2363
def
"_1458"
2
remove
var
2364
def
2358
remove
2352
remove
2337
remove
2249
ref
2239
remove
2364
remove
varTerm
appTerm
2359
remove
appTerm
appTerm
absTerm
absTerm
absTerm
absTerm
2365
def
76
remove
appTerm
2366
def
appTerm
refl
2365
ref
2340
remove
appTerm
betaConv
appThm
2363
remove
refl
2366
remove
betaConv
appThm
2361
remove
refl
appThm
trans
2365
remove
refl
nil
2267
remove
2247
ref
nil
cons
cons
nil
cons
nil
cons
cons
2367
def
2270
ref
1671
ref
subst
subst
appThm
eqMp
2049
remove
202
remove
"_1452"
2223
ref
var
2368
def
2312
remove
2368
remove
varTerm
appTerm
absTerm
2369
def
2247
ref
appTerm
2370
def
appTerm
refl
2369
ref
2342
ref
appTerm
betaConv
appThm
1935
remove
2370
remove
betaConv
appThm
2343
remove
refl
appThm
trans
2369
remove
refl
2367
remove
2270
remove
1681
ref
subst
subst
2371
def
appThm
eqMp
appThm
nil
2275
remove
2246
ref
nil
cons
cons
2055
remove
cons
nil
cons
cons
2372
def
2279
ref
1671
ref
subst
subst
eqMp
appThm
eqMp
2057
ref
1209
ref
"_1454"
2223
ref
var
2373
def
2319
ref
2322
ref
2373
remove
varTerm
appTerm
appTerm
absTerm
2374
def
2247
ref
appTerm
2375
def
appTerm
refl
2374
ref
2342
ref
appTerm
betaConv
appThm
1240
ref
2375
remove
betaConv
appThm
2346
remove
refl
appThm
trans
2374
remove
refl
2371
ref
appThm
eqMp
appThm
2057
remove
1209
remove
"_1448"
2221
ref
var
2376
def
2319
ref
2376
remove
varTerm
appTerm
absTerm
2377
def
2246
ref
appTerm
2378
def
appTerm
refl
2377
ref
2322
ref
2247
ref
appTerm
2379
def
appTerm
betaConv
appThm
1240
remove
2378
remove
betaConv
appThm
2319
remove
2379
ref
appTerm
refl
appThm
trans
2377
remove
refl
2372
remove
2279
remove
1681
ref
subst
subst
2380
def
appThm
eqMp
appThm
nil
2284
remove
2245
ref
nil
cons
2381
def
cons
2282
remove
2054
remove
cons
nil
cons
cons
nil
cons
cons
2382
def
2288
ref
1671
remove
subst
subst
eqMp
eqMp
appThm
eqMp
1826
ref
2245
remove
appTerm
refl
2383
def
1826
ref
"_1456"
2223
remove
var
2384
def
2326
ref
2322
remove
2384
remove
varTerm
appTerm
appTerm
absTerm
2385
def
2247
remove
appTerm
2386
def
appTerm
refl
2385
ref
2342
remove
appTerm
betaConv
appThm
1869
ref
2386
remove
betaConv
appThm
2349
remove
refl
appThm
trans
2385
remove
refl
2371
remove
appThm
eqMp
appThm
2383
remove
1826
remove
"_1450"
2221
remove
var
2387
def
2326
ref
2387
remove
varTerm
appTerm
absTerm
2388
def
2246
remove
appTerm
2389
def
appTerm
refl
2388
ref
2379
ref
appTerm
betaConv
appThm
1869
remove
2389
remove
betaConv
appThm
2326
remove
2379
remove
appTerm
refl
appThm
trans
2388
remove
refl
2380
remove
appThm
eqMp
appThm
2382
remove
2288
remove
1681
remove
subst
subst
eqMp
eqMp
appThm
eqMp
sym
trans
eqMp
absThm
eqMp
eqMp
absThm
eqMp
eqMp
absThm
eqMp
eqMp
absThm
eqMp
eqMp
2258
remove
2257
remove
2291
ref
nil
cons
2390
def
cons
"x"
2228
remove
var
2327
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
1259
remove
subst
proveHyp
nil
90
ref
68
remove
2230
remove
constTerm
2291
remove
appTerm
nil
cons
cons
91
ref
2304
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
152
ref
subst
proveHyp
nil
"p"
2229
remove
var
2390
remove
cons
nil
cons
nil
cons
cons
2259
remove
1328
remove
subst
subst
eqMp
eqMp
nil
90
ref
43
remove
2302
ref
appTerm
nil
cons
cons
91
ref
2303
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
152
ref
subst
proveHyp
195
remove
44
remove
2302
remove
nil
cons
cons
196
remove
cons
nil
cons
cons
162
ref
subst
eqMp
eqMp
nil
90
ref
2301
remove
nil
cons
cons
91
ref
2300
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
152
ref
subst
proveHyp
172
remove
168
remove
2299
remove
nil
cons
cons
199
remove
cons
nil
cons
cons
162
ref
subst
eqMp
eqMp
nil
90
ref
2298
remove
nil
cons
cons
91
ref
2297
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
152
ref
subst
proveHyp
1245
remove
1906
remove
2296
remove
nil
cons
cons
2063
remove
cons
nil
cons
cons
162
ref
subst
eqMp
eqMp
nil
90
remove
2295
remove
nil
cons
cons
91
remove
2294
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
152
remove
subst
proveHyp
1956
remove
2336
remove
2293
remove
nil
cons
cons
1954
remove
2381
remove
cons
nil
cons
cons
nil
cons
cons
162
remove
subst
eqMp
eqMp
subst
appThm
2249
remove
2240
remove
2276
remove
2287
remove
appTerm
appTerm
appTerm
2391
def
refl
appThm
nil
"x"
2226
remove
var
2391
remove
nil
cons
cons
nil
cons
nil
cons
cons
"A"
2227
remove
cons
nil
cons
35
remove
cons
294
remove
subst
subst
trans
absThm
appThm
705
remove
1957
remove
1111
remove
subst
subst
trans
absThm
appThm
1959
remove
trans
trans
absThm
appThm
1248
remove
trans
trans
absThm
appThm
1249
remove
trans
trans
absThm
eqMp
eqMp
eqMp
nil
98
remove
2217
remove
appTerm
2254
remove
appTerm
thm