reference documentation

Article natural-order-thm.art

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

232009 bytes
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47
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def
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sym
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def
97
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81
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absTerm
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appThm
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opType
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104
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remove
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ref
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def
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def
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nil
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63
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subst
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assume
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def
eqMp
appThm
absThm
eqMp
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107
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cons
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64
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97
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98
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absTerm
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def
76
ref
77
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79
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121
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appTerm
betaConv
121
ref
117
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appTerm
betaConv
119
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refl
122
def
appThm
77
ref
117
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119
ref
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betaConv
trans
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100
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121
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betaConv
47
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refl
123
def
appThm
77
ref
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47
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trans
trans
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14
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117
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124
def
119
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125
def
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refl
77
ref
96
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remove
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100
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absTerm
119
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appThm
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124
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refl
104
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117
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appThm
105
remove
117
ref
refl
126
def
appThm
eqMp
122
ref
appThm
eqMp
125
remove
assume
eqMp
127
def
121
remove
refl
appThm
eqMp
sym
62
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eqMp
128
def
subst
deductAntisym
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94
remove
82
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assume
eqMp
sym
109
remove
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64
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99
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76
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77
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81
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absTerm
129
def
absTerm
130
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appTerm
betaConv
130
ref
79
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betaConv
90
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appThm
129
ref
81
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appTerm
betaConv
trans
trans
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100
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130
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betaConv
130
ref
47
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betaConv
123
remove
appThm
129
ref
47
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betaConv
trans
trans
131
def
appThm
106
remove
86
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assume
eqMp
130
ref
refl
132
def
appThm
eqMp
sym
62
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eqMp
133
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subst
proveHyp
34
ref
5
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73
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nil
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cons
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1
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var
135
def
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136
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137
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76
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138
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77
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139
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140
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141
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142
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95
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142
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133
remove
113
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subst
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140
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refl
48
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139
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betaConv
appThm
50
remove
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139
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refl
144
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appThm
eqMp
sym
62
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114
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138
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145
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eqMp
eqMp
146
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subst
147
def
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136
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148
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cons
149
def
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cons
cons
150
def
10
ref
"Data.Bool.~"
const
12
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151
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70
ref
20
ref
24
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appTerm
152
def
appTerm
68
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appTerm
153
def
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154
def
absTerm
155
def
24
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appTerm
156
def
betaConv
nil
9
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155
ref
appTerm
157
def
axiom
158
def
nil
76
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157
remove
nil
cons
cons
77
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156
remove
nil
cons
cons
nil
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cons
nil
cons
cons
134
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subst
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34
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155
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nil
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cons
135
ref
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159
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160
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154
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153
ref
appTerm
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2
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161
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cons
nil
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nil
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134
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proveHyp
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114
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153
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nil
76
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151
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117
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162
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163
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77
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161
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164
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165
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165
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166
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77
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167
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168
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79
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170
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81
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171
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172
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90
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appThm
sym
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76
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110
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173
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77
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110
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174
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95
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174
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175
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176
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76
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82
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177
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77
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178
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79
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179
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178
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172
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180
def
64
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130
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130
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117
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betaConv
122
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129
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119
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betaConv
trans
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131
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127
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132
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181
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subst
eqMp
134
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180
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128
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deductAntisym
182
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162
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76
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183
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184
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162
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185
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161
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186
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143
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nil
76
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167
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166
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187
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95
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187
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188
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117
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189
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190
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102
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191
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188
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192
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axiom
161
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nil
76
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192
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nil
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134
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"A"
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193
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12
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var
194
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188
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nil
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195
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166
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114
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167
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115
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114
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163
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115
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128
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eqMp
196
def
subst
eqMp
197
def
subst
198
def
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199
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appThm
6
ref
151
ref
28
ref
68
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200
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appTerm
201
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absTerm
202
def
21
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appTerm
203
def
betaConv
nil
9
ref
202
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appTerm
204
def
axiom
205
def
nil
76
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204
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nil
cons
206
def
cons
207
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77
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203
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nil
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nil
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134
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proveHyp
34
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202
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nil
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cons
137
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cons
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145
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76
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201
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nil
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77
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14
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200
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161
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nil
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cons
134
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proveHyp
nil
114
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200
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nil
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208
def
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nil
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nil
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cons
196
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209
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nil
57
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167
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210
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57
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14
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190
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59
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appTerm
151
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59
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appTerm
211
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appTerm
absTerm
212
def
59
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appTerm
213
def
betaConv
nil
191
ref
212
ref
appTerm
214
def
axiom
nil
76
ref
214
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nil
cons
cons
77
ref
213
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nil
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nil
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nil
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cons
134
ref
subst
proveHyp
193
ref
194
ref
212
remove
nil
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cons
195
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cons
nil
cons
215
def
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nil
cons
cons
145
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subst
eqMp
eqMp
216
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nil
14
ref
151
ref
161
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appTerm
217
def
appTerm
47
ref
appTerm
axiom
218
def
trans
219
def
trans
sym
62
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eqMp
220
def
nil
76
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14
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23
ref
68
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appTerm
221
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appTerm
222
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200
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223
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224
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appTerm
225
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152
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226
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227
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appTerm
228
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229
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appTerm
230
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nil
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cons
nil
cons
cons
nil
cons
cons
143
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subst
proveHyp
nil
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229
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nil
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cons
nil
cons
nil
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cons
56
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subst
10
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nil
57
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228
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nil
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nil
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63
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subst
nil
76
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30
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nil
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231
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cons
77
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227
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nil
cons
232
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cons
nil
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nil
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cons
233
def
95
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subst
233
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143
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64
ref
66
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10
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14
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67
ref
152
ref
appTerm
234
def
appTerm
"Data.Bool.\\/"
const
13
remove
constTerm
235
def
71
ref
152
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appTerm
appTerm
236
def
67
ref
24
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appTerm
237
def
appTerm
appTerm
absTerm
238
def
24
ref
appTerm
239
def
betaConv
6
ref
9
ref
238
ref
appTerm
240
def
absTerm
241
def
21
ref
appTerm
242
def
betaConv
nil
9
ref
241
ref
appTerm
243
def
axiom
nil
76
ref
243
remove
nil
cons
cons
77
ref
242
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
134
ref
subst
proveHyp
34
ref
5
ref
241
remove
nil
cons
cons
137
ref
cons
nil
cons
cons
145
ref
subst
eqMp
eqMp
nil
76
ref
240
remove
nil
cons
cons
77
ref
239
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
134
ref
subst
proveHyp
34
ref
5
ref
238
remove
nil
cons
cons
160
ref
cons
nil
cons
cons
145
ref
subst
eqMp
eqMp
244
def
subst
235
ref
refl
245
def
10
ref
14
ref
70
ref
22
ref
appTerm
246
def
152
ref
appTerm
247
def
appTerm
71
remove
24
ref
appTerm
248
def
appTerm
absTerm
249
def
24
ref
appTerm
250
def
betaConv
6
ref
9
ref
249
ref
appTerm
251
def
absTerm
252
def
21
ref
appTerm
253
def
betaConv
nil
9
ref
252
ref
appTerm
254
def
axiom
nil
76
ref
254
remove
nil
cons
cons
77
ref
253
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
134
ref
subst
proveHyp
34
ref
5
ref
252
remove
nil
cons
cons
137
ref
cons
nil
cons
cons
145
ref
subst
eqMp
eqMp
nil
76
ref
251
remove
nil
cons
cons
77
ref
250
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
134
ref
subst
proveHyp
34
ref
5
ref
249
remove
nil
cons
cons
160
ref
cons
nil
cons
cons
145
ref
subst
eqMp
eqMp
255
def
appThm
30
remove
assume
appThm
trans
appThm
10
ref
14
ref
226
ref
appTerm
256
def
235
ref
248
ref
appTerm
29
ref
appTerm
257
def
appTerm
absTerm
258
def
24
ref
appTerm
259
def
betaConv
6
ref
9
ref
258
ref
appTerm
260
def
absTerm
261
def
21
ref
appTerm
262
def
betaConv
nil
9
ref
261
ref
appTerm
263
def
axiom
264
def
nil
76
ref
263
ref
nil
cons
265
def
cons
77
ref
262
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
134
ref
subst
proveHyp
34
ref
5
ref
261
remove
nil
cons
cons
137
ref
cons
nil
cons
cons
145
ref
subst
eqMp
eqMp
nil
76
ref
260
remove
nil
cons
cons
77
ref
259
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
134
ref
subst
proveHyp
34
ref
5
ref
258
remove
nil
cons
cons
160
ref
cons
nil
cons
cons
145
ref
subst
eqMp
eqMp
266
def
appThm
nil
195
ref
257
ref
nil
cons
267
def
cons
nil
cons
nil
cons
cons
193
ref
35
ref
cons
268
def
nil
57
ref
11
ref
0
ref
37
ref
38
ref
nil
cons
269
def
cons
opType
constTerm
270
def
139
ref
appTerm
271
def
139
ref
appTerm
nil
cons
cons
nil
cons
nil
cons
cons
63
ref
subst
144
ref
eqMp
272
def
subst
273
def
subst
trans
sym
62
ref
eqMp
eqMp
nil
114
ref
231
remove
cons
115
ref
232
remove
cons
nil
cons
cons
nil
cons
cons
128
ref
subst
deductAntisym
eqMp
eqMp
absThm
eqMp
eqMp
nil
76
ref
84
ref
223
remove
appTerm
230
remove
appTerm
nil
cons
cons
77
ref
58
ref
cons
nil
cons
cons
nil
cons
cons
134
ref
subst
proveHyp
169
ref
84
ref
refl
274
def
31
ref
68
ref
appTerm
betaConv
appThm
9
ref
refl
275
def
10
ref
169
ref
31
ref
24
ref
appTerm
276
def
betaConv
277
def
appThm
31
ref
152
ref
appTerm
betaConv
appThm
absThm
appThm
appThm
appThm
275
ref
10
ref
277
ref
absThm
appThm
appThm
nil
"p"
4
ref
var
278
def
31
remove
nil
cons
279
def
cons
nil
cons
nil
cons
cons
278
ref
78
ref
84
ref
278
ref
varTerm
280
def
68
ref
appTerm
281
def
appTerm
9
ref
10
ref
78
ref
280
ref
24
ref
appTerm
282
def
appTerm
283
def
280
ref
152
ref
appTerm
appTerm
absTerm
appTerm
appTerm
appTerm
9
ref
10
ref
282
ref
absTerm
284
def
appTerm
285
def
appTerm
absTerm
286
def
280
ref
appTerm
287
def
betaConv
nil
7
ref
0
ref
8
ref
3
ref
cons
opType
constTerm
288
def
286
ref
appTerm
289
def
axiom
290
def
nil
76
ref
289
remove
nil
cons
cons
291
def
77
ref
287
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
134
ref
subst
proveHyp
"A"
15
remove
cons
nil
cons
292
def
"P"
8
ref
var
293
def
286
ref
nil
cons
cons
294
def
"x"
4
ref
var
295
def
280
ref
nil
cons
cons
nil
cons
cons
nil
cons
cons
145
ref
subst
eqMp
eqMp
296
def
subst
eqMp
eqMp
297
def
eqMp
absThm
eqMp
nil
9
ref
33
remove
appTerm
thm
nil
5
ref
6
ref
9
ref
10
ref
256
remove
237
ref
appTerm
298
def
absTerm
299
def
appTerm
300
def
absTerm
301
def
nil
cons
cons
nil
cons
nil
cons
cons
56
ref
subst
6
ref
nil
57
ref
300
remove
nil
cons
302
def
cons
nil
cons
nil
cons
cons
63
ref
subst
64
ref
nil
10
ref
68
ref
nil
cons
303
def
cons
nil
cons
nil
cons
cons
304
def
266
ref
subst
appThm
146
ref
appThm
sym
235
ref
72
ref
appTerm
refl
209
ref
appThm
nil
57
ref
72
remove
nil
cons
cons
nil
cons
nil
cons
cons
57
ref
14
ref
235
ref
59
ref
appTerm
305
def
161
ref
appTerm
appTerm
59
ref
appTerm
absTerm
306
def
59
ref
appTerm
307
def
betaConv
nil
191
ref
306
ref
appTerm
308
def
axiom
nil
76
ref
308
remove
nil
cons
cons
77
ref
307
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
134
ref
subst
proveHyp
193
ref
194
ref
306
remove
nil
cons
cons
215
ref
cons
nil
cons
cons
145
ref
subst
eqMp
eqMp
309
def
subst
trans
eqMp
nil
76
ref
14
ref
28
ref
20
ref
68
ref
appTerm
appTerm
appTerm
69
remove
appTerm
310
def
nil
cons
cons
77
ref
9
ref
10
ref
78
ref
298
ref
appTerm
14
ref
28
ref
20
ref
152
ref
appTerm
appTerm
appTerm
234
remove
appTerm
311
def
appTerm
312
def
absTerm
313
def
appTerm
314
def
nil
cons
cons
nil
cons
cons
nil
cons
cons
143
ref
subst
proveHyp
nil
5
ref
313
remove
nil
cons
cons
nil
cons
nil
cons
cons
56
ref
subst
10
ref
nil
57
ref
312
remove
nil
cons
cons
nil
cons
nil
cons
cons
63
ref
subst
nil
76
ref
298
ref
nil
cons
315
def
cons
77
ref
311
remove
nil
cons
316
def
cons
nil
cons
cons
nil
cons
cons
317
def
95
ref
subst
317
remove
143
ref
subst
64
ref
nil
10
ref
152
ref
nil
cons
318
def
cons
319
def
nil
cons
nil
cons
cons
320
def
266
ref
subst
appThm
244
ref
appThm
sym
236
remove
refl
298
remove
assume
appThm
eqMp
eqMp
nil
114
ref
315
remove
cons
115
ref
316
remove
cons
nil
cons
cons
nil
cons
cons
128
ref
subst
deductAntisym
eqMp
eqMp
absThm
eqMp
eqMp
nil
76
ref
84
ref
310
remove
appTerm
314
remove
appTerm
nil
cons
cons
77
ref
302
ref
cons
nil
cons
cons
nil
cons
cons
134
ref
subst
proveHyp
169
ref
274
ref
299
ref
68
ref
appTerm
betaConv
appThm
275
ref
10
ref
169
ref
299
ref
24
ref
appTerm
321
def
betaConv
322
def
appThm
299
ref
152
ref
appTerm
betaConv
appThm
absThm
appThm
appThm
appThm
275
ref
10
ref
322
ref
absThm
appThm
appThm
nil
278
ref
299
remove
nil
cons
323
def
cons
nil
cons
nil
cons
cons
296
ref
subst
eqMp
eqMp
324
def
eqMp
absThm
eqMp
nil
9
ref
301
remove
appTerm
thm
275
ref
6
ref
275
ref
10
ref
64
ref
320
ref
277
remove
297
remove
nil
76
ref
58
remove
cons
77
ref
276
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
134
ref
subst
proveHyp
34
ref
5
ref
279
remove
cons
160
ref
cons
nil
cons
cons
145
ref
subst
eqMp
eqMp
325
def
subst
322
remove
324
remove
nil
76
ref
302
remove
cons
77
ref
321
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
134
ref
subst
proveHyp
34
ref
5
ref
323
remove
cons
160
ref
cons
nil
cons
cons
145
ref
subst
eqMp
eqMp
326
def
trans
327
def
appThm
237
ref
refl
328
def
appThm
nil
195
ref
237
ref
nil
cons
329
def
cons
nil
cons
nil
cons
cons
273
ref
subst
trans
absThm
appThm
nil
57
ref
47
ref
nil
cons
cons
nil
cons
nil
cons
cons
330
def
36
ref
57
ref
14
ref
40
ref
46
ref
59
ref
absTerm
appTerm
appTerm
59
ref
appTerm
absTerm
331
def
59
ref
appTerm
332
def
betaConv
nil
191
ref
331
ref
appTerm
333
def
axiom
nil
76
ref
333
remove
nil
cons
cons
77
ref
332
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
134
ref
subst
proveHyp
193
ref
194
ref
331
remove
nil
cons
cons
215
ref
cons
nil
cons
cons
145
ref
subst
eqMp
eqMp
subst
subst
334
def
trans
absThm
appThm
334
ref
trans
sym
62
ref
eqMp
nil
9
ref
6
ref
9
ref
10
ref
225
ref
237
ref
appTerm
absTerm
appTerm
absTerm
appTerm
thm
275
ref
6
ref
275
ref
10
ref
64
ref
66
ref
326
ref
subst
325
remove
trans
335
def
appThm
29
ref
refl
336
def
appThm
nil
195
ref
29
ref
nil
cons
337
def
cons
nil
cons
nil
cons
cons
273
ref
subst
trans
absThm
appThm
334
ref
trans
absThm
appThm
334
ref
trans
sym
62
ref
eqMp
nil
9
ref
6
ref
9
ref
10
ref
14
ref
27
ref
22
ref
appTerm
338
def
152
ref
appTerm
339
def
appTerm
29
ref
appTerm
absTerm
appTerm
absTerm
appTerm
thm
nil
6
ref
303
ref
cons
nil
cons
340
def
nil
cons
cons
341
def
146
ref
subst
nil
135
ref
303
remove
cons
nil
cons
342
def
nil
cons
cons
36
ref
272
remove
subst
343
def
subst
344
def
trans
345
def
sym
62
ref
eqMp
346
def
nil
76
ref
17
ref
68
ref
appTerm
347
def
68
ref
appTerm
348
def
nil
cons
349
def
cons
350
def
77
ref
9
ref
10
ref
78
ref
347
ref
24
ref
appTerm
351
def
appTerm
347
ref
152
ref
appTerm
352
def
appTerm
353
def
absTerm
354
def
appTerm
355
def
nil
cons
cons
nil
cons
cons
nil
cons
cons
143
ref
subst
proveHyp
nil
5
ref
354
remove
nil
cons
cons
nil
cons
nil
cons
cons
56
ref
subst
10
ref
nil
57
ref
353
remove
nil
cons
cons
nil
cons
nil
cons
cons
63
ref
subst
nil
76
ref
351
ref
nil
cons
356
def
cons
77
ref
352
ref
nil
cons
357
def
cons
nil
cons
cons
nil
cons
cons
358
def
95
ref
subst
358
remove
143
ref
subst
341
ref
244
ref
subst
359
def
235
ref
70
ref
68
ref
appTerm
360
def
152
ref
appTerm
361
def
appTerm
362
def
refl
nil
57
ref
356
ref
cons
nil
cons
nil
cons
cons
363
def
63
ref
subst
364
def
351
ref
assume
eqMp
appThm
nil
57
ref
361
ref
nil
cons
365
def
cons
nil
cons
nil
cons
cons
366
def
57
ref
14
ref
305
ref
47
ref
appTerm
appTerm
47
ref
appTerm
absTerm
367
def
59
ref
appTerm
368
def
betaConv
nil
191
ref
367
ref
appTerm
369
def
axiom
nil
76
ref
369
remove
nil
cons
cons
77
ref
368
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
134
ref
subst
proveHyp
193
ref
194
ref
367
remove
nil
cons
cons
215
ref
cons
nil
cons
cons
145
ref
subst
eqMp
eqMp
370
def
subst
trans
trans
sym
62
ref
eqMp
eqMp
nil
114
ref
356
remove
cons
115
ref
357
remove
cons
nil
cons
cons
nil
cons
cons
128
ref
subst
deductAntisym
eqMp
eqMp
absThm
eqMp
eqMp
nil
76
ref
84
ref
348
ref
appTerm
371
def
355
remove
appTerm
nil
cons
cons
77
ref
9
ref
10
ref
351
ref
absTerm
372
def
appTerm
373
def
nil
cons
374
def
cons
nil
cons
cons
nil
cons
cons
134
ref
subst
proveHyp
169
ref
274
ref
372
ref
68
ref
appTerm
betaConv
appThm
275
ref
10
ref
169
ref
372
ref
24
ref
appTerm
375
def
betaConv
376
def
appThm
372
ref
152
ref
appTerm
betaConv
appThm
absThm
appThm
appThm
appThm
275
ref
10
ref
376
ref
absThm
appThm
appThm
nil
278
ref
372
remove
nil
cons
377
def
cons
nil
cons
nil
cons
cons
296
ref
subst
eqMp
eqMp
378
def
nil
373
remove
thm
275
ref
10
ref
341
ref
326
ref
subst
364
remove
376
remove
378
remove
nil
76
ref
374
remove
cons
77
ref
375
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
134
ref
subst
proveHyp
34
ref
5
ref
377
remove
cons
160
ref
cons
nil
cons
cons
145
ref
subst
eqMp
eqMp
eqMp
379
def
trans
380
def
absThm
appThm
334
ref
trans
sym
62
ref
eqMp
nil
9
ref
10
ref
27
ref
68
ref
appTerm
381
def
152
ref
appTerm
382
def
absTerm
appTerm
thm
346
ref
nil
350
remove
77
ref
9
ref
10
ref
78
ref
17
ref
24
ref
appTerm
383
def
24
ref
appTerm
384
def
appTerm
17
ref
152
ref
appTerm
385
def
152
ref
appTerm
386
def
appTerm
387
def
absTerm
388
def
appTerm
389
def
nil
cons
cons
nil
cons
cons
nil
cons
cons
143
ref
subst
proveHyp
nil
5
ref
388
remove
nil
cons
cons
nil
cons
nil
cons
cons
56
ref
subst
10
ref
nil
57
ref
387
remove
nil
cons
cons
nil
cons
nil
cons
cons
63
ref
subst
nil
76
ref
384
ref
nil
cons
390
def
cons
77
ref
386
remove
nil
cons
391
def
cons
nil
cons
cons
nil
cons
cons
392
def
95
ref
subst
392
remove
143
ref
subst
nil
6
ref
318
ref
cons
nil
cons
nil
cons
cons
393
def
244
ref
subst
245
ref
nil
135
ref
318
remove
cons
nil
cons
nil
cons
cons
343
ref
subst
appThm
385
ref
24
ref
appTerm
394
def
refl
appThm
nil
57
ref
394
remove
nil
cons
cons
nil
cons
nil
cons
cons
57
ref
14
ref
235
ref
47
ref
appTerm
395
def
59
ref
appTerm
appTerm
47
ref
appTerm
absTerm
396
def
59
ref
appTerm
397
def
betaConv
nil
191
ref
396
ref
appTerm
398
def
axiom
nil
76
ref
398
remove
nil
cons
cons
77
ref
397
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
134
ref
subst
proveHyp
193
ref
194
ref
396
remove
nil
cons
cons
215
ref
cons
nil
cons
cons
145
ref
subst
eqMp
eqMp
399
def
subst
trans
trans
sym
62
ref
eqMp
eqMp
nil
114
ref
390
ref
cons
115
ref
391
remove
cons
nil
cons
cons
nil
cons
cons
128
ref
subst
deductAntisym
eqMp
eqMp
absThm
eqMp
eqMp
nil
76
ref
371
ref
389
remove
appTerm
nil
cons
cons
77
ref
9
ref
10
ref
384
ref
absTerm
400
def
appTerm
401
def
nil
cons
402
def
cons
nil
cons
cons
nil
cons
cons
134
ref
subst
proveHyp
169
ref
274
ref
400
ref
68
ref
appTerm
betaConv
appThm
275
ref
10
ref
169
ref
400
ref
24
ref
appTerm
403
def
betaConv
404
def
appThm
400
ref
152
ref
appTerm
betaConv
appThm
absThm
appThm
appThm
appThm
275
ref
10
ref
404
ref
absThm
appThm
appThm
nil
278
ref
400
remove
nil
cons
405
def
cons
nil
cons
nil
cons
cons
296
ref
subst
eqMp
eqMp
406
def
nil
401
remove
thm
151
ref
refl
407
def
341
ref
209
ref
subst
408
def
appThm
218
ref
trans
409
def
sym
62
ref
eqMp
410
def
nil
76
ref
151
ref
381
ref
68
ref
appTerm
411
def
appTerm
412
def
nil
cons
cons
77
ref
9
ref
10
ref
78
ref
151
ref
27
ref
24
ref
appTerm
413
def
24
ref
appTerm
414
def
appTerm
415
def
appTerm
151
ref
27
ref
152
ref
appTerm
416
def
152
ref
appTerm
appTerm
417
def
appTerm
418
def
absTerm
419
def
appTerm
420
def
nil
cons
cons
nil
cons
cons
nil
cons
cons
143
ref
subst
proveHyp
nil
5
ref
419
remove
nil
cons
cons
nil
cons
nil
cons
cons
56
ref
subst
10
ref
nil
57
ref
418
remove
nil
cons
cons
nil
cons
nil
cons
cons
63
ref
subst
nil
76
ref
415
ref
nil
cons
421
def
cons
422
def
77
ref
417
remove
nil
cons
423
def
cons
nil
cons
cons
nil
cons
cons
424
def
95
ref
subst
424
remove
143
ref
subst
407
ref
nil
6
ref
159
ref
cons
425
def
nil
cons
426
def
nil
cons
cons
427
def
335
ref
subst
nil
422
remove
77
ref
14
ref
414
ref
appTerm
161
ref
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
134
ref
subst
428
def
nil
114
ref
414
ref
nil
cons
429
def
cons
nil
cons
nil
cons
cons
196
ref
subst
430
def
eqMp
trans
appThm
218
ref
trans
sym
62
ref
eqMp
eqMp
nil
114
ref
421
remove
cons
115
ref
423
remove
cons
nil
cons
cons
nil
cons
cons
128
ref
subst
deductAntisym
eqMp
eqMp
absThm
eqMp
eqMp
nil
76
ref
84
ref
412
ref
appTerm
420
remove
appTerm
nil
cons
cons
77
ref
9
ref
10
ref
415
remove
absTerm
431
def
appTerm
432
def
nil
cons
433
def
cons
nil
cons
cons
nil
cons
cons
134
ref
subst
proveHyp
169
ref
274
ref
431
ref
68
ref
appTerm
betaConv
appThm
275
ref
10
ref
169
ref
431
ref
24
ref
appTerm
434
def
betaConv
435
def
appThm
431
ref
152
ref
appTerm
betaConv
appThm
absThm
appThm
appThm
appThm
275
ref
10
ref
435
ref
absThm
appThm
appThm
nil
278
ref
431
remove
nil
cons
436
def
cons
nil
cons
nil
cons
cons
296
ref
subst
eqMp
eqMp
437
def
nil
432
remove
thm
64
ref
nil
57
ref
349
remove
cons
nil
cons
nil
cons
cons
438
def
57
ref
14
ref
84
ref
59
ref
appTerm
439
def
59
ref
appTerm
appTerm
59
ref
appTerm
absTerm
440
def
59
ref
appTerm
441
def
betaConv
nil
191
ref
440
ref
appTerm
442
def
axiom
nil
76
ref
442
remove
nil
cons
cons
77
ref
441
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
134
ref
subst
proveHyp
193
ref
194
ref
440
remove
nil
cons
cons
215
ref
cons
nil
cons
cons
145
ref
subst
eqMp
eqMp
443
def
subst
444
def
appThm
344
ref
appThm
438
ref
57
ref
14
ref
61
ref
appTerm
59
ref
appTerm
absTerm
445
def
59
ref
appTerm
446
def
betaConv
nil
191
ref
445
ref
appTerm
447
def
axiom
nil
76
ref
447
remove
nil
cons
cons
77
ref
446
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
134
ref
subst
proveHyp
193
ref
194
ref
445
remove
nil
cons
cons
215
ref
cons
nil
cons
cons
145
ref
subst
eqMp
eqMp
448
def
subst
trans
sym
346
remove
eqMp
nil
76
ref
14
ref
371
ref
348
ref
appTerm
449
def
appTerm
360
ref
68
ref
appTerm
450
def
appTerm
451
def
nil
cons
cons
77
ref
9
ref
10
ref
78
ref
14
ref
84
ref
351
ref
appTerm
452
def
383
ref
68
ref
appTerm
453
def
appTerm
appTerm
360
ref
24
ref
appTerm
454
def
appTerm
455
def
appTerm
14
ref
84
ref
352
ref
appTerm
456
def
385
ref
68
ref
appTerm
457
def
appTerm
458
def
appTerm
361
ref
appTerm
459
def
appTerm
460
def
absTerm
461
def
appTerm
462
def
nil
cons
cons
nil
cons
cons
nil
cons
cons
143
ref
subst
proveHyp
nil
5
ref
461
remove
nil
cons
cons
nil
cons
nil
cons
cons
56
ref
subst
10
ref
nil
57
ref
460
remove
nil
cons
cons
nil
cons
nil
cons
cons
63
ref
subst
nil
76
ref
455
ref
nil
cons
463
def
cons
77
ref
459
remove
nil
cons
464
def
cons
nil
cons
cons
nil
cons
cons
465
def
95
ref
subst
465
remove
143
ref
subst
64
ref
274
ref
359
remove
245
ref
10
ref
151
ref
361
ref
appTerm
466
def
absTerm
467
def
24
ref
appTerm
468
def
betaConv
275
ref
10
ref
407
ref
361
ref
assume
sym
153
remove
assume
sym
deductAntisym
appThm
absThm
appThm
158
remove
eqMp
nil
76
ref
9
ref
467
ref
appTerm
nil
cons
cons
77
ref
468
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
134
ref
subst
proveHyp
34
ref
5
ref
467
remove
nil
cons
cons
160
ref
cons
nil
cons
cons
145
ref
subst
eqMp
eqMp
nil
76
ref
466
remove
nil
cons
cons
77
ref
14
ref
361
ref
appTerm
161
ref
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
134
ref
subst
proveHyp
nil
114
ref
365
remove
cons
nil
cons
nil
cons
cons
196
ref
subst
eqMp
469
def
appThm
351
ref
refl
appThm
363
ref
57
ref
14
ref
235
ref
161
ref
appTerm
470
def
59
ref
appTerm
appTerm
59
ref
appTerm
absTerm
471
def
59
ref
appTerm
472
def
betaConv
nil
191
ref
471
ref
appTerm
473
def
axiom
nil
76
ref
473
remove
nil
cons
cons
77
ref
472
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
134
ref
subst
proveHyp
193
ref
194
ref
471
remove
nil
cons
cons
215
ref
cons
nil
cons
cons
145
ref
subst
eqMp
eqMp
474
def
subst
trans
trans
appThm
475
def
393
ref
146
ref
subst
197
ref
trans
476
def
appThm
363
remove
57
ref
14
ref
439
ref
161
ref
appTerm
appTerm
161
ref
appTerm
absTerm
477
def
59
ref
appTerm
478
def
betaConv
nil
191
ref
477
ref
appTerm
479
def
axiom
nil
76
ref
479
remove
nil
cons
cons
77
ref
478
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
134
ref
subst
proveHyp
193
ref
194
ref
477
remove
nil
cons
cons
215
ref
cons
nil
cons
cons
145
ref
subst
eqMp
eqMp
480
def
subst
481
def
trans
appThm
469
ref
appThm
219
ref
trans
sym
62
ref
eqMp
eqMp
nil
114
ref
463
remove
cons
115
ref
464
remove
cons
nil
cons
cons
nil
cons
cons
128
ref
subst
deductAntisym
eqMp
eqMp
absThm
eqMp
eqMp
nil
76
ref
84
ref
451
remove
appTerm
462
remove
appTerm
nil
cons
cons
77
ref
9
ref
10
ref
455
remove
absTerm
482
def
appTerm
483
def
nil
cons
484
def
cons
nil
cons
cons
nil
cons
cons
134
ref
subst
proveHyp
169
ref
274
ref
482
ref
68
ref
appTerm
betaConv
appThm
275
ref
10
ref
169
ref
482
ref
24
ref
appTerm
betaConv
485
def
appThm
482
ref
152
ref
appTerm
betaConv
appThm
absThm
appThm
appThm
appThm
275
ref
10
ref
485
remove
absThm
appThm
appThm
nil
278
ref
482
remove
nil
cons
cons
nil
cons
nil
cons
cons
296
ref
subst
eqMp
eqMp
nil
76
ref
484
remove
cons
77
ref
9
ref
6
ref
78
ref
9
ref
10
ref
14
ref
84
ref
237
ref
appTerm
486
def
383
ref
21
ref
appTerm
487
def
appTerm
appTerm
248
ref
appTerm
absTerm
488
def
appTerm
489
def
appTerm
9
ref
10
ref
14
ref
84
ref
25
ref
appTerm
490
def
383
ref
22
ref
appTerm
491
def
appTerm
appTerm
246
ref
24
ref
appTerm
492
def
appTerm
493
def
absTerm
494
def
appTerm
495
def
appTerm
496
def
absTerm
497
def
appTerm
498
def
nil
cons
cons
nil
cons
cons
nil
cons
cons
143
ref
subst
proveHyp
nil
5
ref
497
remove
nil
cons
cons
nil
cons
nil
cons
cons
56
ref
subst
6
ref
nil
57
ref
496
remove
nil
cons
cons
nil
cons
nil
cons
cons
63
ref
subst
nil
76
ref
489
ref
nil
cons
499
def
cons
500
def
77
ref
495
remove
nil
cons
501
def
cons
nil
cons
502
def
cons
nil
cons
cons
503
def
95
ref
subst
503
remove
143
ref
subst
64
ref
274
ref
199
ref
appThm
504
def
nil
148
ref
340
ref
cons
nil
cons
cons
505
def
244
ref
subst
245
ref
150
ref
469
ref
subst
appThm
347
ref
21
ref
appTerm
506
def
refl
appThm
nil
57
ref
506
remove
nil
cons
cons
nil
cons
nil
cons
cons
507
def
474
ref
subst
trans
trans
appThm
507
remove
57
ref
14
ref
84
ref
161
ref
appTerm
508
def
59
ref
appTerm
appTerm
161
ref
appTerm
absTerm
509
def
59
ref
appTerm
510
def
betaConv
nil
191
ref
509
ref
appTerm
511
def
axiom
nil
76
ref
511
remove
nil
cons
cons
77
ref
510
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
134
ref
subst
proveHyp
193
ref
194
ref
509
remove
nil
cons
cons
215
ref
cons
nil
cons
cons
145
ref
subst
eqMp
eqMp
512
def
subst
trans
appThm
198
ref
appThm
219
ref
trans
sym
62
ref
eqMp
nil
76
ref
14
ref
84
ref
221
ref
appTerm
513
def
347
ref
22
ref
appTerm
514
def
appTerm
appTerm
246
remove
68
ref
appTerm
515
def
appTerm
516
def
nil
cons
cons
77
ref
9
ref
10
ref
78
ref
493
ref
appTerm
14
ref
84
ref
224
ref
appTerm
517
def
385
ref
22
ref
appTerm
518
def
appTerm
appTerm
247
ref
appTerm
519
def
appTerm
520
def
absTerm
521
def
appTerm
522
def
nil
cons
cons
nil
cons
cons
nil
cons
cons
143
ref
subst
proveHyp
nil
5
ref
521
remove
nil
cons
cons
nil
cons
nil
cons
cons
56
ref
subst
10
ref
nil
57
ref
520
remove
nil
cons
cons
nil
cons
nil
cons
cons
63
ref
subst
nil
76
ref
493
remove
nil
cons
523
def
cons
77
ref
519
remove
nil
cons
524
def
cons
nil
cons
cons
nil
cons
cons
525
def
95
ref
subst
525
remove
143
ref
subst
64
ref
274
ref
327
ref
appThm
526
def
nil
148
ref
426
ref
cons
nil
cons
cons
527
def
327
ref
subst
528
def
appThm
488
ref
24
ref
appTerm
529
def
betaConv
nil
500
remove
77
ref
529
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
134
ref
subst
34
ref
5
ref
488
remove
nil
cons
cons
160
ref
cons
nil
cons
cons
145
ref
subst
eqMp
eqMp
trans
appThm
255
ref
appThm
nil
195
ref
248
ref
nil
cons
530
def
cons
nil
cons
nil
cons
cons
273
ref
subst
trans
sym
62
ref
eqMp
eqMp
nil
114
ref
523
remove
cons
115
ref
524
remove
cons
nil
cons
cons
nil
cons
cons
128
ref
subst
deductAntisym
eqMp
eqMp
absThm
eqMp
eqMp
nil
76
ref
84
ref
516
remove
appTerm
522
remove
appTerm
nil
cons
cons
502
remove
cons
nil
cons
cons
134
ref
subst
proveHyp
169
ref
274
ref
494
ref
68
ref
appTerm
betaConv
appThm
275
ref
10
ref
169
ref
494
ref
24
ref
appTerm
betaConv
531
def
appThm
494
ref
152
ref
appTerm
betaConv
appThm
absThm
appThm
appThm
appThm
275
ref
10
ref
531
remove
absThm
appThm
appThm
nil
278
ref
494
remove
nil
cons
cons
nil
cons
nil
cons
cons
296
ref
subst
eqMp
eqMp
eqMp
nil
114
ref
499
remove
cons
115
ref
501
remove
cons
nil
cons
cons
nil
cons
cons
128
ref
subst
deductAntisym
eqMp
eqMp
absThm
eqMp
eqMp
nil
76
ref
84
ref
483
remove
appTerm
498
remove
appTerm
nil
cons
cons
77
ref
9
ref
6
ref
489
remove
absTerm
532
def
appTerm
533
def
nil
cons
cons
nil
cons
cons
nil
cons
cons
134
ref
subst
proveHyp
169
ref
274
ref
532
ref
68
ref
appTerm
betaConv
appThm
275
ref
6
ref
169
ref
532
ref
21
ref
appTerm
betaConv
534
def
appThm
532
ref
22
ref
appTerm
betaConv
appThm
absThm
appThm
appThm
appThm
275
ref
6
ref
534
remove
absThm
appThm
appThm
nil
278
ref
532
remove
nil
cons
cons
nil
cons
nil
cons
cons
296
ref
subst
eqMp
eqMp
nil
533
remove
thm
407
ref
nil
57
ref
411
ref
nil
cons
cons
nil
cons
nil
cons
cons
535
def
443
remove
subst
536
def
appThm
sym
410
remove
eqMp
nil
76
ref
151
ref
84
ref
411
ref
appTerm
537
def
411
ref
appTerm
538
def
appTerm
539
def
nil
cons
cons
77
ref
9
ref
10
ref
78
ref
151
ref
84
ref
381
ref
24
ref
appTerm
540
def
appTerm
541
def
413
ref
68
ref
appTerm
542
def
appTerm
appTerm
543
def
appTerm
151
ref
84
ref
382
ref
appTerm
544
def
416
ref
68
ref
appTerm
545
def
appTerm
546
def
appTerm
547
def
appTerm
548
def
absTerm
549
def
appTerm
550
def
nil
cons
cons
nil
cons
cons
nil
cons
cons
143
ref
subst
proveHyp
nil
5
ref
549
remove
nil
cons
cons
nil
cons
nil
cons
cons
56
ref
subst
10
ref
nil
57
ref
548
remove
nil
cons
cons
nil
cons
nil
cons
cons
63
ref
subst
nil
76
ref
543
ref
nil
cons
551
def
cons
77
ref
547
remove
nil
cons
552
def
cons
nil
cons
cons
nil
cons
cons
553
def
95
ref
subst
553
remove
143
ref
subst
407
ref
274
ref
341
remove
266
ref
subst
554
def
appThm
393
remove
209
ref
subst
555
def
appThm
nil
57
ref
235
ref
454
ref
appTerm
540
ref
appTerm
556
def
nil
cons
cons
nil
cons
nil
cons
cons
557
def
480
ref
subst
trans
appThm
218
ref
trans
sym
62
ref
eqMp
eqMp
nil
114
ref
551
remove
cons
115
ref
552
remove
cons
nil
cons
cons
nil
cons
cons
128
ref
subst
deductAntisym
eqMp
eqMp
absThm
eqMp
eqMp
nil
76
ref
84
ref
539
remove
appTerm
550
remove
appTerm
nil
cons
cons
77
ref
9
ref
10
ref
543
remove
absTerm
558
def
appTerm
559
def
nil
cons
560
def
cons
nil
cons
cons
nil
cons
cons
134
ref
subst
proveHyp
169
ref
274
ref
558
ref
68
ref
appTerm
betaConv
appThm
275
ref
10
ref
169
ref
558
ref
24
ref
appTerm
betaConv
561
def
appThm
558
ref
152
ref
appTerm
betaConv
appThm
absThm
appThm
appThm
appThm
275
ref
10
ref
561
remove
absThm
appThm
appThm
nil
278
ref
558
remove
nil
cons
cons
nil
cons
nil
cons
cons
296
ref
subst
eqMp
eqMp
nil
76
ref
560
remove
cons
77
ref
9
ref
6
ref
78
ref
9
ref
10
ref
151
ref
84
ref
29
ref
appTerm
562
def
413
ref
21
ref
appTerm
563
def
appTerm
564
def
appTerm
565
def
absTerm
566
def
appTerm
567
def
appTerm
9
ref
10
ref
151
ref
84
ref
338
ref
24
ref
appTerm
568
def
appTerm
569
def
413
ref
22
ref
appTerm
570
def
appTerm
appTerm
571
def
absTerm
572
def
appTerm
573
def
appTerm
574
def
absTerm
575
def
appTerm
576
def
nil
cons
cons
nil
cons
cons
nil
cons
cons
143
ref
subst
proveHyp
nil
5
ref
575
remove
nil
cons
cons
nil
cons
nil
cons
cons
56
ref
subst
6
ref
nil
57
ref
574
remove
nil
cons
cons
nil
cons
nil
cons
cons
63
ref
subst
nil
76
ref
567
ref
nil
cons
577
def
cons
578
def
77
ref
573
remove
nil
cons
579
def
cons
nil
cons
580
def
cons
nil
cons
cons
581
def
95
ref
subst
581
remove
143
ref
subst
407
ref
274
ref
66
remove
209
ref
subst
582
def
appThm
583
def
505
ref
266
ref
subst
584
def
appThm
nil
57
ref
235
ref
360
ref
21
ref
appTerm
appTerm
381
ref
21
ref
appTerm
appTerm
585
def
nil
cons
cons
nil
cons
nil
cons
cons
586
def
512
ref
subst
587
def
trans
appThm
218
ref
trans
sym
62
ref
eqMp
nil
76
ref
151
ref
84
ref
338
ref
68
ref
appTerm
588
def
appTerm
589
def
381
ref
22
ref
appTerm
590
def
appTerm
appTerm
591
def
nil
cons
cons
77
ref
9
ref
10
ref
78
ref
571
ref
appTerm
151
ref
84
ref
339
ref
appTerm
592
def
416
ref
22
ref
appTerm
593
def
appTerm
appTerm
594
def
appTerm
595
def
absTerm
596
def
appTerm
597
def
nil
cons
cons
nil
cons
cons
nil
cons
cons
143
ref
subst
proveHyp
nil
5
ref
596
remove
nil
cons
cons
nil
cons
nil
cons
cons
56
ref
subst
10
ref
nil
57
ref
595
remove
nil
cons
cons
nil
cons
nil
cons
cons
63
ref
subst
nil
76
ref
571
remove
nil
cons
598
def
cons
77
ref
594
remove
nil
cons
599
def
cons
nil
cons
cons
nil
cons
cons
600
def
95
ref
subst
600
remove
143
ref
subst
407
ref
274
ref
335
ref
appThm
601
def
527
ref
335
ref
subst
602
def
appThm
566
ref
24
ref
appTerm
603
def
betaConv
nil
578
remove
77
ref
603
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
134
ref
subst
34
ref
5
ref
566
remove
nil
cons
cons
160
ref
cons
nil
cons
cons
145
ref
subst
eqMp
eqMp
nil
76
ref
565
remove
nil
cons
cons
77
ref
14
ref
564
ref
appTerm
161
ref
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
134
ref
subst
proveHyp
nil
114
ref
564
remove
nil
cons
cons
nil
cons
nil
cons
cons
196
ref
subst
eqMp
trans
appThm
218
ref
trans
sym
62
ref
eqMp
eqMp
nil
114
ref
598
remove
cons
115
ref
599
remove
cons
nil
cons
cons
nil
cons
cons
128
ref
subst
deductAntisym
eqMp
eqMp
absThm
eqMp
eqMp
nil
76
ref
84
ref
591
remove
appTerm
597
remove
appTerm
nil
cons
cons
580
remove
cons
nil
cons
cons
134
ref
subst
proveHyp
169
ref
274
ref
572
ref
68
ref
appTerm
betaConv
appThm
275
ref
10
ref
169
ref
572
ref
24
ref
appTerm
betaConv
604
def
appThm
572
ref
152
ref
appTerm
betaConv
appThm
absThm
appThm
appThm
appThm
275
ref
10
ref
604
remove
absThm
appThm
appThm
nil
278
ref
572
remove
nil
cons
cons
nil
cons
nil
cons
cons
296
ref
subst
eqMp
eqMp
eqMp
nil
114
ref
577
remove
cons
115
ref
579
remove
cons
nil
cons
cons
nil
cons
cons
128
ref
subst
deductAntisym
eqMp
eqMp
absThm
eqMp
eqMp
nil
76
ref
84
ref
559
remove
appTerm
576
remove
appTerm
nil
cons
cons
77
ref
9
ref
6
ref
567
remove
absTerm
605
def
appTerm
606
def
nil
cons
cons
nil
cons
cons
nil
cons
cons
134
ref
subst
proveHyp
169
ref
274
ref
605
ref
68
ref
appTerm
betaConv
appThm
275
ref
6
ref
169
ref
605
ref
21
ref
appTerm
betaConv
607
def
appThm
605
ref
22
ref
appTerm
betaConv
appThm
absThm
appThm
appThm
appThm
275
ref
6
ref
607
remove
absThm
appThm
appThm
nil
278
ref
605
remove
nil
cons
cons
nil
cons
nil
cons
cons
296
ref
subst
eqMp
eqMp
nil
606
remove
thm
407
ref
274
ref
345
ref
appThm
608
def
408
ref
appThm
210
ref
57
ref
14
ref
84
ref
47
ref
appTerm
609
def
59
ref
appTerm
appTerm
59
ref
appTerm
absTerm
610
def
59
ref
appTerm
611
def
betaConv
nil
191
ref
610
ref
appTerm
612
def
axiom
nil
76
ref
612
remove
nil
cons
cons
77
ref
611
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
134
ref
subst
proveHyp
193
ref
194
ref
610
remove
nil
cons
cons
215
ref
cons
nil
cons
cons
145
ref
subst
eqMp
eqMp
613
def
subst
trans
614
def
appThm
218
ref
trans
sym
62
ref
eqMp
nil
76
ref
151
ref
371
ref
411
ref
appTerm
615
def
appTerm
616
def
nil
cons
cons
77
ref
9
ref
10
ref
78
ref
151
ref
452
ref
542
ref
appTerm
appTerm
617
def
appTerm
151
ref
456
ref
545
ref
appTerm
618
def
appTerm
619
def
appTerm
620
def
absTerm
621
def
appTerm
622
def
nil
cons
cons
nil
cons
cons
nil
cons
cons
143
ref
subst
proveHyp
nil
5
ref
621
remove
nil
cons
cons
nil
cons
nil
cons
cons
56
ref
subst
10
ref
nil
57
ref
620
remove
nil
cons
cons
nil
cons
nil
cons
cons
63
ref
subst
nil
76
ref
617
ref
nil
cons
623
def
cons
77
ref
619
remove
nil
cons
624
def
cons
nil
cons
cons
nil
cons
cons
625
def
95
ref
subst
625
remove
143
ref
subst
407
ref
475
remove
555
ref
appThm
481
remove
trans
626
def
appThm
218
ref
trans
sym
62
ref
eqMp
eqMp
nil
114
ref
623
remove
cons
115
ref
624
remove
cons
nil
cons
cons
nil
cons
cons
128
ref
subst
deductAntisym
eqMp
eqMp
absThm
eqMp
eqMp
nil
76
ref
84
ref
616
remove
appTerm
622
remove
appTerm
nil
cons
cons
77
ref
9
ref
10
ref
617
remove
absTerm
627
def
appTerm
628
def
nil
cons
629
def
cons
nil
cons
cons
nil
cons
cons
134
ref
subst
proveHyp
169
ref
274
ref
627
ref
68
ref
appTerm
betaConv
appThm
275
ref
10
ref
169
ref
627
ref
24
ref
appTerm
betaConv
630
def
appThm
627
ref
152
ref
appTerm
betaConv
appThm
absThm
appThm
appThm
appThm
275
ref
10
ref
630
remove
absThm
appThm
appThm
nil
278
ref
627
remove
nil
cons
cons
nil
cons
nil
cons
cons
296
ref
subst
eqMp
eqMp
nil
76
ref
629
remove
cons
77
ref
9
ref
6
ref
78
ref
9
ref
10
ref
151
ref
486
ref
563
ref
appTerm
631
def
appTerm
632
def
absTerm
633
def
appTerm
634
def
appTerm
9
ref
10
ref
151
ref
490
ref
570
ref
appTerm
appTerm
635
def
absTerm
636
def
appTerm
637
def
appTerm
638
def
absTerm
639
def
appTerm
640
def
nil
cons
cons
nil
cons
cons
nil
cons
cons
143
ref
subst
proveHyp
nil
5
ref
639
remove
nil
cons
cons
nil
cons
nil
cons
cons
56
ref
subst
6
ref
nil
57
ref
638
remove
nil
cons
cons
nil
cons
nil
cons
cons
63
ref
subst
nil
76
ref
634
ref
nil
cons
641
def
cons
642
def
77
ref
637
remove
nil
cons
643
def
cons
nil
cons
644
def
cons
nil
cons
cons
645
def
95
ref
subst
645
remove
143
ref
subst
407
ref
504
ref
584
ref
appThm
587
remove
trans
appThm
218
ref
trans
sym
62
ref
eqMp
nil
76
ref
151
ref
513
ref
590
ref
appTerm
appTerm
646
def
nil
cons
cons
77
ref
9
ref
10
ref
78
ref
635
ref
appTerm
151
ref
517
ref
593
ref
appTerm
appTerm
647
def
appTerm
648
def
absTerm
649
def
appTerm
650
def
nil
cons
cons
nil
cons
cons
nil
cons
cons
143
ref
subst
proveHyp
nil
5
ref
649
remove
nil
cons
cons
nil
cons
nil
cons
cons
56
ref
subst
10
ref
nil
57
ref
648
remove
nil
cons
cons
nil
cons
nil
cons
cons
63
ref
subst
nil
76
ref
635
remove
nil
cons
651
def
cons
77
ref
647
remove
nil
cons
652
def
cons
nil
cons
cons
nil
cons
cons
653
def
95
ref
subst
653
remove
143
ref
subst
407
ref
526
ref
602
ref
appThm
633
ref
24
ref
appTerm
654
def
betaConv
655
def
nil
642
remove
77
ref
654
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
134
ref
subst
656
def
34
ref
5
ref
633
remove
nil
cons
cons
160
ref
cons
nil
cons
cons
145
ref
subst
657
def
eqMp
eqMp
nil
76
ref
632
remove
nil
cons
cons
77
ref
14
ref
631
ref
appTerm
161
ref
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
134
ref
subst
658
def
proveHyp
nil
114
ref
631
remove
nil
cons
cons
nil
cons
nil
cons
cons
196
ref
subst
659
def
eqMp
trans
appThm
218
ref
trans
sym
62
ref
eqMp
eqMp
nil
114
ref
651
remove
cons
115
ref
652
remove
cons
nil
cons
cons
nil
cons
cons
128
ref
subst
deductAntisym
eqMp
eqMp
absThm
eqMp
eqMp
nil
76
ref
84
ref
646
remove
appTerm
650
remove
appTerm
nil
cons
cons
644
remove
cons
nil
cons
cons
134
ref
subst
proveHyp
169
ref
274
ref
636
ref
68
ref
appTerm
betaConv
appThm
275
ref
10
ref
169
ref
636
ref
24
ref
appTerm
betaConv
660
def
appThm
636
ref
152
ref
appTerm
betaConv
appThm
absThm
appThm
appThm
appThm
275
ref
10
ref
660
remove
absThm
appThm
appThm
nil
278
ref
636
remove
nil
cons
cons
nil
cons
nil
cons
cons
296
ref
subst
eqMp
eqMp
eqMp
nil
114
ref
641
remove
cons
115
ref
643
remove
cons
nil
cons
cons
nil
cons
cons
128
ref
subst
deductAntisym
eqMp
eqMp
absThm
eqMp
eqMp
nil
76
ref
84
ref
628
remove
appTerm
640
remove
appTerm
nil
cons
cons
77
ref
9
ref
6
ref
634
remove
absTerm
661
def
appTerm
662
def
nil
cons
663
def
cons
nil
cons
cons
nil
cons
cons
134
ref
subst
proveHyp
169
ref
274
ref
661
ref
68
ref
appTerm
betaConv
appThm
275
ref
6
ref
169
ref
661
ref
21
ref
appTerm
664
def
betaConv
665
def
appThm
661
ref
22
ref
appTerm
betaConv
appThm
absThm
appThm
appThm
appThm
275
ref
6
ref
665
ref
absThm
appThm
appThm
nil
278
ref
661
remove
nil
cons
666
def
cons
nil
cons
nil
cons
cons
296
ref
subst
eqMp
eqMp
667
def
nil
662
remove
thm
275
ref
6
ref
275
ref
10
ref
407
ref
nil
"t2"
2
ref
var
668
def
487
ref
nil
cons
669
def
cons
"t1"
2
ref
var
670
def
337
ref
cons
nil
cons
cons
nil
cons
cons
671
def
668
ref
14
ref
84
ref
670
ref
varTerm
672
def
appTerm
668
ref
varTerm
673
def
appTerm
appTerm
84
ref
673
ref
appTerm
672
ref
appTerm
appTerm
absTerm
674
def
673
ref
appTerm
675
def
betaConv
670
ref
191
ref
674
ref
appTerm
676
def
absTerm
677
def
672
ref
appTerm
678
def
betaConv
nil
191
ref
677
ref
appTerm
679
def
axiom
nil
76
ref
679
remove
nil
cons
cons
77
ref
678
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
134
ref
subst
proveHyp
193
ref
194
ref
677
remove
nil
cons
cons
195
ref
672
ref
nil
cons
cons
nil
cons
680
def
cons
nil
cons
cons
145
ref
subst
eqMp
eqMp
nil
76
ref
676
remove
nil
cons
cons
77
ref
675
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
134
ref
subst
proveHyp
193
ref
194
ref
674
remove
nil
cons
cons
195
ref
673
ref
nil
cons
cons
nil
cons
681
def
cons
nil
cons
cons
145
ref
subst
eqMp
eqMp
subst
appThm
absThm
appThm
absThm
appThm
sym
275
ref
6
ref
275
ref
10
ref
407
ref
527
ref
655
remove
665
remove
667
remove
nil
76
ref
663
remove
cons
77
ref
664
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
134
ref
subst
proveHyp
34
ref
5
ref
666
remove
cons
137
ref
cons
nil
cons
cons
145
ref
subst
eqMp
eqMp
656
remove
proveHyp
657
remove
eqMp
eqMp
658
remove
proveHyp
659
remove
eqMp
subst
appThm
218
ref
trans
absThm
appThm
334
ref
trans
absThm
appThm
334
ref
trans
sym
62
ref
eqMp
eqMp
nil
9
ref
6
ref
9
ref
10
ref
151
ref
562
ref
487
ref
appTerm
appTerm
absTerm
appTerm
absTerm
appTerm
thm
169
ref
444
remove
345
ref
trans
appThm
345
ref
appThm
330
ref
57
ref
14
ref
78
ref
47
ref
appTerm
682
def
59
ref
appTerm
appTerm
59
ref
appTerm
absTerm
683
def
59
ref
appTerm
684
def
betaConv
nil
191
ref
683
ref
appTerm
685
def
axiom
nil
76
ref
685
remove
nil
cons
cons
77
ref
684
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
134
ref
subst
proveHyp
193
ref
194
ref
683
remove
nil
cons
cons
215
ref
cons
nil
cons
cons
145
ref
subst
eqMp
eqMp
686
def
subst
687
def
trans
sym
62
ref
eqMp
nil
76
ref
78
ref
449
remove
appTerm
348
ref
appTerm
688
def
nil
cons
cons
77
ref
9
ref
"p"
1
ref
var
689
def
78
ref
78
ref
371
ref
347
ref
689
ref
varTerm
690
def
appTerm
691
def
appTerm
appTerm
691
ref
appTerm
692
def
appTerm
78
ref
371
ref
347
remove
20
ref
690
ref
appTerm
693
def
appTerm
694
def
appTerm
appTerm
694
ref
appTerm
695
def
appTerm
696
def
absTerm
697
def
appTerm
698
def
nil
cons
cons
nil
cons
cons
nil
cons
cons
143
ref
subst
proveHyp
nil
5
ref
697
remove
nil
cons
cons
nil
cons
nil
cons
cons
56
ref
subst
689
ref
nil
57
ref
696
remove
nil
cons
cons
nil
cons
nil
cons
cons
63
ref
subst
nil
76
ref
692
ref
nil
cons
699
def
cons
77
ref
695
remove
nil
cons
700
def
cons
nil
cons
cons
nil
cons
cons
701
def
95
ref
subst
701
remove
143
ref
subst
169
ref
608
remove
nil
10
ref
693
ref
nil
cons
cons
nil
cons
nil
cons
cons
379
ref
subst
702
def
appThm
330
ref
613
ref
subst
703
def
trans
appThm
702
ref
appThm
687
ref
trans
sym
62
ref
eqMp
eqMp
nil
114
ref
699
remove
cons
115
ref
700
remove
cons
nil
cons
cons
nil
cons
cons
128
ref
subst
deductAntisym
eqMp
eqMp
absThm
eqMp
eqMp
nil
76
ref
84
ref
688
remove
appTerm
698
remove
appTerm
nil
cons
cons
77
ref
9
ref
689
ref
692
remove
absTerm
704
def
appTerm
705
def
nil
cons
706
def
cons
nil
cons
cons
nil
cons
cons
134
ref
subst
proveHyp
169
ref
274
ref
704
ref
68
ref
appTerm
betaConv
appThm
275
ref
689
ref
169
ref
704
ref
690
ref
appTerm
betaConv
707
def
appThm
704
ref
693
ref
appTerm
betaConv
appThm
absThm
appThm
appThm
appThm
275
ref
689
ref
707
remove
absThm
appThm
appThm
nil
278
ref
704
remove
nil
cons
cons
nil
cons
nil
cons
cons
296
ref
subst
eqMp
eqMp
nil
76
ref
706
remove
cons
77
ref
9
ref
10
ref
78
ref
9
ref
689
ref
78
ref
452
ref
383
ref
690
ref
appTerm
708
def
appTerm
appTerm
691
ref
appTerm
absTerm
appTerm
709
def
appTerm
9
ref
689
ref
78
ref
456
ref
385
ref
690
ref
appTerm
710
def
appTerm
appTerm
691
ref
appTerm
711
def
absTerm
712
def
appTerm
713
def
appTerm
714
def
absTerm
715
def
appTerm
716
def
nil
cons
cons
nil
cons
cons
nil
cons
cons
143
ref
subst
proveHyp
nil
5
ref
715
remove
nil
cons
cons
nil
cons
nil
cons
cons
56
ref
subst
10
ref
nil
57
ref
714
remove
nil
cons
cons
nil
cons
nil
cons
cons
63
ref
subst
nil
76
ref
709
ref
nil
cons
717
def
cons
77
ref
713
remove
nil
cons
718
def
cons
nil
cons
719
def
cons
nil
cons
cons
720
def
95
ref
subst
720
remove
143
ref
subst
169
ref
274
ref
320
remove
379
ref
subst
721
def
appThm
722
def
457
ref
refl
723
def
appThm
nil
57
ref
457
ref
nil
cons
cons
nil
cons
nil
cons
cons
724
def
613
ref
subst
725
def
trans
appThm
345
ref
appThm
724
ref
57
ref
14
ref
78
ref
59
ref
appTerm
726
def
47
ref
appTerm
appTerm
47
ref
appTerm
absTerm
727
def
59
ref
appTerm
728
def
betaConv
nil
191
ref
727
ref
appTerm
729
def
axiom
nil
76
ref
729
remove
nil
cons
cons
77
ref
728
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
134
ref
subst
proveHyp
193
ref
194
ref
727
remove
nil
cons
cons
215
ref
cons
nil
cons
cons
145
ref
subst
eqMp
eqMp
730
def
subst
trans
sym
62
ref
eqMp
nil
76
ref
78
ref
458
remove
appTerm
348
ref
appTerm
731
def
nil
cons
cons
77
ref
9
ref
689
ref
78
ref
711
ref
appTerm
78
ref
456
ref
385
remove
693
ref
appTerm
732
def
appTerm
appTerm
694
ref
appTerm
733
def
appTerm
734
def
absTerm
735
def
appTerm
736
def
nil
cons
cons
nil
cons
cons
nil
cons
cons
143
ref
subst
proveHyp
nil
5
ref
735
remove
nil
cons
cons
nil
cons
nil
cons
cons
56
ref
subst
689
ref
nil
57
ref
734
remove
nil
cons
cons
nil
cons
nil
cons
cons
63
ref
subst
nil
76
ref
711
remove
nil
cons
737
def
cons
77
ref
733
remove
nil
cons
738
def
cons
nil
cons
cons
nil
cons
cons
739
def
95
ref
subst
739
remove
143
ref
subst
169
ref
722
remove
nil
10
ref
690
ref
nil
cons
740
def
cons
741
def
426
ref
cons
nil
cons
cons
742
def
327
ref
subst
743
def
appThm
nil
57
ref
708
ref
nil
cons
cons
nil
cons
nil
cons
cons
744
def
613
ref
subst
745
def
trans
appThm
702
ref
appThm
744
remove
730
ref
subst
746
def
trans
sym
62
ref
eqMp
eqMp
nil
114
ref
737
remove
cons
115
ref
738
remove
cons
nil
cons
cons
nil
cons
cons
128
ref
subst
deductAntisym
eqMp
eqMp
absThm
eqMp
eqMp
nil
76
ref
84
ref
731
remove
appTerm
736
remove
appTerm
nil
cons
cons
719
remove
cons
nil
cons
cons
134
ref
subst
proveHyp
169
ref
274
ref
712
ref
68
ref
appTerm
betaConv
appThm
275
ref
689
ref
169
ref
712
ref
690
ref
appTerm
betaConv
747
def
appThm
712
ref
693
ref
appTerm
betaConv
appThm
absThm
appThm
appThm
appThm
275
ref
689
ref
747
remove
absThm
appThm
appThm
nil
278
ref
712
remove
nil
cons
cons
nil
cons
nil
cons
cons
296
ref
subst
eqMp
eqMp
eqMp
nil
114
ref
717
remove
cons
115
ref
718
remove
cons
nil
cons
cons
nil
cons
cons
128
ref
subst
deductAntisym
eqMp
eqMp
absThm
eqMp
eqMp
nil
76
ref
84
ref
705
remove
appTerm
716
remove
appTerm
nil
cons
cons
77
ref
9
ref
10
ref
709
remove
absTerm
748
def
appTerm
749
def
nil
cons
750
def
cons
nil
cons
cons
nil
cons
cons
134
ref
subst
proveHyp
169
ref
274
ref
748
ref
68
ref
appTerm
betaConv
appThm
275
ref
10
ref
169
ref
748
ref
24
ref
appTerm
betaConv
751
def
appThm
748
ref
152
ref
appTerm
betaConv
appThm
absThm
appThm
appThm
appThm
275
ref
10
ref
751
remove
absThm
appThm
appThm
nil
278
ref
748
remove
nil
cons
cons
nil
cons
nil
cons
cons
296
ref
subst
eqMp
eqMp
nil
76
ref
750
remove
cons
77
ref
9
ref
6
ref
78
ref
9
ref
10
ref
9
ref
689
ref
78
ref
486
ref
708
ref
appTerm
appTerm
67
remove
690
ref
appTerm
752
def
appTerm
753
def
absTerm
754
def
appTerm
755
def
absTerm
756
def
appTerm
757
def
appTerm
9
ref
10
ref
9
ref
689
ref
78
ref
490
ref
708
ref
appTerm
appTerm
23
ref
690
ref
appTerm
758
def
appTerm
absTerm
appTerm
759
def
absTerm
760
def
appTerm
761
def
appTerm
762
def
absTerm
763
def
appTerm
764
def
nil
cons
cons
nil
cons
cons
nil
cons
cons
143
ref
subst
proveHyp
nil
5
ref
763
remove
nil
cons
cons
nil
cons
nil
cons
cons
56
ref
subst
6
ref
nil
57
ref
762
remove
nil
cons
cons
nil
cons
nil
cons
cons
63
ref
subst
nil
76
ref
757
ref
nil
cons
765
def
cons
766
def
77
ref
761
remove
nil
cons
767
def
cons
nil
cons
768
def
cons
nil
cons
cons
769
def
95
ref
subst
769
remove
143
ref
subst
169
ref
513
ref
refl
770
def
345
ref
appThm
nil
57
ref
221
ref
nil
cons
cons
nil
cons
nil
cons
cons
771
def
57
ref
14
ref
439
remove
47
ref
appTerm
appTerm
59
ref
appTerm
absTerm
772
def
59
ref
appTerm
773
def
betaConv
nil
191
ref
772
ref
appTerm
774
def
axiom
nil
76
ref
774
remove
nil
cons
cons
77
ref
773
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
134
ref
subst
proveHyp
193
ref
194
ref
772
remove
nil
cons
cons
215
ref
cons
nil
cons
cons
145
ref
subst
eqMp
eqMp
775
def
subst
776
def
trans
appThm
221
ref
refl
777
def
appThm
771
ref
nil
57
ref
726
ref
59
ref
appTerm
778
def
nil
cons
cons
nil
cons
nil
cons
cons
63
ref
subst
57
ref
778
remove
absTerm
779
def
59
ref
appTerm
780
def
betaConv
nil
191
ref
779
ref
appTerm
781
def
axiom
nil
76
ref
781
remove
nil
cons
cons
77
ref
780
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
134
ref
subst
proveHyp
193
ref
194
ref
779
remove
nil
cons
cons
215
ref
cons
nil
cons
cons
145
ref
subst
eqMp
eqMp
eqMp
782
def
subst
trans
sym
62
ref
eqMp
nil
76
ref
78
ref
513
ref
348
ref
appTerm
appTerm
221
ref
appTerm
783
def
nil
cons
cons
77
ref
9
ref
689
ref
78
ref
78
ref
513
ref
691
ref
appTerm
appTerm
758
ref
appTerm
784
def
appTerm
78
ref
513
ref
694
ref
appTerm
appTerm
23
ref
693
ref
appTerm
785
def
appTerm
786
def
appTerm
787
def
absTerm
788
def
appTerm
789
def
nil
cons
cons
nil
cons
cons
nil
cons
cons
143
ref
subst
proveHyp
nil
5
ref
788
remove
nil
cons
cons
nil
cons
nil
cons
cons
56
ref
subst
689
ref
nil
57
ref
787
remove
nil
cons
cons
nil
cons
nil
cons
cons
63
ref
subst
nil
76
ref
784
ref
nil
cons
790
def
cons
77
ref
786
remove
nil
cons
791
def
cons
nil
cons
cons
nil
cons
cons
792
def
95
ref
subst
792
remove
143
ref
subst
169
ref
770
ref
702
remove
appThm
776
ref
trans
appThm
nil
741
ref
nil
cons
nil
cons
cons
793
def
327
ref
subst
794
def
appThm
sym
169
ref
199
ref
appThm
795
def
752
ref
refl
appThm
nil
57
ref
752
remove
nil
cons
cons
nil
cons
nil
cons
cons
57
ref
14
ref
186
ref
59
ref
appTerm
appTerm
47
ref
appTerm
absTerm
796
def
59
ref
appTerm
797
def
betaConv
nil
191
ref
796
ref
appTerm
798
def
axiom
nil
76
ref
798
remove
nil
cons
cons
77
ref
797
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
134
ref
subst
proveHyp
193
ref
194
ref
796
remove
nil
cons
cons
215
ref
cons
nil
cons
cons
145
ref
subst
eqMp
eqMp
799
def
subst
trans
sym
62
ref
eqMp
eqMp
eqMp
nil
114
ref
790
remove
cons
115
ref
791
remove
cons
nil
cons
cons
nil
cons
cons
128
ref
subst
deductAntisym
eqMp
eqMp
absThm
eqMp
eqMp
nil
76
ref
84
ref
783
remove
appTerm
789
remove
appTerm
nil
cons
cons
77
ref
9
ref
689
ref
784
remove
absTerm
800
def
appTerm
801
def
nil
cons
802
def
cons
nil
cons
cons
nil
cons
cons
134
ref
subst
proveHyp
169
ref
274
ref
800
ref
68
ref
appTerm
betaConv
appThm
275
ref
689
ref
169
ref
800
ref
690
ref
appTerm
betaConv
803
def
appThm
800
ref
693
ref
appTerm
betaConv
appThm
absThm
appThm
appThm
appThm
275
ref
689
ref
803
remove
absThm
appThm
appThm
nil
278
ref
800
remove
nil
cons
cons
nil
cons
nil
cons
cons
296
ref
subst
eqMp
eqMp
nil
76
ref
802
remove
cons
77
ref
9
ref
10
ref
78
ref
759
ref
appTerm
9
ref
689
ref
78
ref
517
ref
710
ref
appTerm
appTerm
758
remove
appTerm
804
def
absTerm
805
def
appTerm
806
def
appTerm
807
def
absTerm
808
def
appTerm
809
def
nil
cons
cons
nil
cons
cons
nil
cons
cons
143
ref
subst
proveHyp
nil
5
ref
808
remove
nil
cons
cons
nil
cons
nil
cons
cons
56
ref
subst
10
ref
nil
57
ref
807
remove
nil
cons
cons
nil
cons
nil
cons
cons
63
ref
subst
nil
76
ref
759
remove
nil
cons
810
def
cons
77
ref
806
remove
nil
cons
811
def
cons
nil
cons
812
def
cons
nil
cons
cons
813
def
95
ref
subst
813
remove
143
ref
subst
169
ref
526
ref
723
ref
appThm
appThm
777
remove
appThm
sym
169
ref
486
ref
refl
814
def
476
ref
appThm
nil
57
ref
329
ref
cons
nil
cons
nil
cons
cons
480
ref
subst
815
def
trans
appThm
199
ref
appThm
210
ref
799
ref
subst
816
def
trans
sym
62
ref
eqMp
eqMp
nil
76
ref
78
ref
517
ref
457
ref
appTerm
appTerm
221
ref
appTerm
817
def
nil
cons
cons
77
ref
9
ref
689
ref
78
ref
804
ref
appTerm
78
ref
517
ref
732
ref
appTerm
appTerm
785
remove
appTerm
818
def
appTerm
819
def
absTerm
820
def
appTerm
821
def
nil
cons
cons
nil
cons
cons
nil
cons
cons
143
ref
subst
proveHyp
nil
5
ref
820
remove
nil
cons
cons
nil
cons
nil
cons
cons
56
ref
subst
689
ref
nil
57
ref
819
remove
nil
cons
cons
nil
cons
nil
cons
cons
63
ref
subst
nil
76
ref
804
remove
nil
cons
822
def
cons
77
ref
818
remove
nil
cons
823
def
cons
nil
cons
cons
nil
cons
cons
824
def
95
ref
subst
824
remove
143
ref
subst
169
ref
526
ref
743
ref
appThm
appThm
794
remove
appThm
nil
57
ref
753
remove
nil
cons
cons
nil
cons
nil
cons
cons
63
ref
subst
754
ref
690
ref
appTerm
825
def
betaConv
756
ref
24
ref
appTerm
826
def
betaConv
nil
766
remove
77
ref
826
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
134
ref
subst
34
ref
5
ref
756
remove
nil
cons
cons
160
ref
cons
nil
cons
cons
145
ref
subst
eqMp
eqMp
nil
76
ref
755
remove
nil
cons
cons
77
ref
825
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
134
ref
subst
proveHyp
34
ref
5
ref
754
remove
nil
cons
cons
135
ref
740
remove
cons
nil
cons
827
def
cons
nil
cons
cons
145
ref
subst
eqMp
eqMp
eqMp
trans
sym
62
ref
eqMp
eqMp
nil
114
ref
822
remove
cons
115
ref
823
remove
cons
nil
cons
cons
nil
cons
cons
128
ref
subst
deductAntisym
eqMp
eqMp
absThm
eqMp
eqMp
nil
76
ref
84
ref
817
remove
appTerm
821
remove
appTerm
nil
cons
cons
812
remove
cons
nil
cons
cons
134
ref
subst
proveHyp
169
ref
274
ref
805
ref
68
ref
appTerm
betaConv
appThm
275
ref
689
ref
169
ref
805
ref
690
ref
appTerm
betaConv
828
def
appThm
805
ref
693
ref
appTerm
betaConv
appThm
absThm
appThm
appThm
appThm
275
ref
689
ref
828
remove
absThm
appThm
appThm
nil
278
ref
805
remove
nil
cons
cons
nil
cons
nil
cons
cons
296
ref
subst
eqMp
eqMp
eqMp
nil
114
ref
810
remove
cons
115
ref
811
remove
cons
nil
cons
cons
nil
cons
cons
128
ref
subst
deductAntisym
eqMp
eqMp
absThm
eqMp
eqMp
nil
76
ref
84
ref
801
remove
appTerm
809
remove
appTerm
nil
cons
cons
768
remove
cons
nil
cons
cons
134
ref
subst
proveHyp
169
ref
274
ref
760
ref
68
ref
appTerm
betaConv
appThm
275
ref
10
ref
169
ref
760
ref
24
ref
appTerm
betaConv
829
def
appThm
760
ref
152
ref
appTerm
betaConv
appThm
absThm
appThm
appThm
appThm
275
ref
10
ref
829
remove
absThm
appThm
appThm
nil
278
ref
760
remove
nil
cons
cons
nil
cons
nil
cons
cons
296
ref
subst
eqMp
eqMp
eqMp
nil
114
ref
765
remove
cons
115
ref
767
remove
cons
nil
cons
cons
nil
cons
cons
128
ref
subst
deductAntisym
eqMp
eqMp
absThm
eqMp
eqMp
nil
76
ref
84
ref
749
remove
appTerm
764
remove
appTerm
nil
cons
cons
77
ref
9
ref
6
ref
757
remove
absTerm
830
def
appTerm
831
def
nil
cons
cons
nil
cons
cons
nil
cons
cons
134
ref
subst
proveHyp
169
ref
274
ref
830
ref
68
ref
appTerm
betaConv
appThm
275
ref
6
ref
169
ref
830
ref
21
ref
appTerm
betaConv
832
def
appThm
830
ref
22
ref
appTerm
betaConv
appThm
absThm
appThm
appThm
appThm
275
ref
6
ref
832
remove
absThm
appThm
appThm
nil
278
ref
830
remove
nil
cons
cons
nil
cons
nil
cons
cons
296
ref
subst
eqMp
eqMp
nil
831
remove
thm
169
ref
536
remove
appThm
411
ref
refl
833
def
appThm
535
ref
782
ref
subst
trans
sym
62
ref
eqMp
nil
76
ref
78
ref
538
remove
appTerm
411
ref
appTerm
834
def
nil
cons
cons
77
ref
9
ref
689
ref
78
ref
78
ref
537
ref
381
ref
690
ref
appTerm
835
def
appTerm
appTerm
835
ref
appTerm
836
def
appTerm
78
ref
537
ref
381
ref
693
ref
appTerm
837
def
appTerm
appTerm
837
ref
appTerm
838
def
appTerm
839
def
absTerm
840
def
appTerm
841
def
nil
cons
cons
nil
cons
cons
nil
cons
cons
143
ref
subst
proveHyp
nil
5
ref
840
remove
nil
cons
cons
nil
cons
nil
cons
cons
56
ref
subst
689
ref
nil
57
ref
839
remove
nil
cons
cons
nil
cons
nil
cons
cons
63
ref
subst
nil
76
ref
836
ref
nil
cons
842
def
cons
77
ref
838
remove
nil
cons
843
def
cons
nil
cons
cons
nil
cons
cons
844
def
95
ref
subst
844
remove
143
ref
subst
169
ref
537
ref
refl
793
ref
380
ref
subst
845
def
appThm
535
ref
775
ref
subst
trans
appThm
845
ref
appThm
535
ref
730
ref
subst
trans
sym
62
ref
eqMp
eqMp
nil
114
ref
842
remove
cons
115
ref
843
remove
cons
nil
cons
cons
nil
cons
cons
128
ref
subst
deductAntisym
eqMp
eqMp
absThm
eqMp
eqMp
nil
76
ref
84
ref
834
remove
appTerm
841
remove
appTerm
nil
cons
cons
77
ref
9
ref
689
ref
836
remove
absTerm
846
def
appTerm
847
def
nil
cons
848
def
cons
nil
cons
cons
nil
cons
cons
134
ref
subst
proveHyp
169
ref
274
ref
846
ref
68
ref
appTerm
betaConv
appThm
275
ref
689
ref
169
ref
846
ref
690
ref
appTerm
betaConv
849
def
appThm
846
ref
693
ref
appTerm
betaConv
appThm
absThm
appThm
appThm
appThm
275
ref
689
ref
849
remove
absThm
appThm
appThm
nil
278
ref
846
remove
nil
cons
cons
nil
cons
nil
cons
cons
296
ref
subst
eqMp
eqMp
nil
76
ref
848
remove
cons
77
ref
9
ref
10
ref
78
ref
9
ref
689
ref
78
ref
541
ref
413
ref
690
ref
appTerm
850
def
appTerm
appTerm
835
ref
appTerm
absTerm
appTerm
851
def
appTerm
9
ref
689
ref
78
ref
544
ref
416
ref
690
ref
appTerm
852
def
appTerm
appTerm
835
ref
appTerm
853
def
absTerm
854
def
appTerm
855
def
appTerm
856
def
absTerm
857
def
appTerm
858
def
nil
cons
cons
nil
cons
cons
nil
cons
cons
143
ref
subst
proveHyp
nil
5
ref
857
remove
nil
cons
cons
nil
cons
nil
cons
cons
56
ref
subst
10
ref
nil
57
ref
856
remove
nil
cons
cons
nil
cons
nil
cons
cons
63
ref
subst
nil
76
ref
851
ref
nil
cons
859
def
cons
77
ref
855
remove
nil
cons
860
def
cons
nil
cons
861
def
cons
nil
cons
cons
862
def
95
ref
subst
862
remove
143
ref
subst
169
ref
274
ref
380
ref
appThm
863
def
545
ref
refl
864
def
appThm
nil
57
ref
545
ref
nil
cons
cons
nil
cons
nil
cons
cons
865
def
613
ref
subst
trans
appThm
833
ref
appThm
sym
169
ref
555
ref
appThm
408
ref
appThm
816
ref
trans
sym
62
ref
eqMp
eqMp
nil
76
ref
78
ref
546
remove
appTerm
411
ref
appTerm
866
def
nil
cons
cons
77
ref
9
ref
689
ref
78
ref
853
ref
appTerm
78
ref
544
ref
416
remove
693
ref
appTerm
867
def
appTerm
appTerm
837
ref
appTerm
868
def
appTerm
869
def
absTerm
870
def
appTerm
871
def
nil
cons
cons
nil
cons
cons
nil
cons
cons
143
ref
subst
proveHyp
nil
5
ref
870
remove
nil
cons
cons
nil
cons
nil
cons
cons
56
ref
subst
689
ref
nil
57
ref
869
remove
nil
cons
cons
nil
cons
nil
cons
cons
63
ref
subst
nil
76
ref
853
remove
nil
cons
872
def
cons
77
ref
868
remove
nil
cons
873
def
cons
nil
cons
cons
nil
cons
cons
874
def
95
ref
subst
874
remove
143
ref
subst
169
ref
863
ref
742
remove
335
ref
subst
875
def
appThm
nil
57
ref
850
ref
nil
cons
cons
nil
cons
nil
cons
cons
876
def
613
ref
subst
trans
appThm
845
ref
appThm
876
remove
730
ref
subst
trans
sym
62
ref
eqMp
eqMp
nil
114
ref
872
remove
cons
115
ref
873
remove
cons
nil
cons
cons
nil
cons
cons
128
ref
subst
deductAntisym
eqMp
eqMp
absThm
eqMp
eqMp
nil
76
ref
84
ref
866
remove
appTerm
871
remove
appTerm
nil
cons
cons
861
remove
cons
nil
cons
cons
134
ref
subst
proveHyp
169
ref
274
ref
854
ref
68
ref
appTerm
betaConv
appThm
275
ref
689
ref
169
ref
854
ref
690
ref
appTerm
betaConv
877
def
appThm
854
ref
693
ref
appTerm
betaConv
appThm
absThm
appThm
appThm
appThm
275
ref
689
ref
877
remove
absThm
appThm
appThm
nil
278
ref
854
remove
nil
cons
cons
nil
cons
nil
cons
cons
296
ref
subst
eqMp
eqMp
eqMp
nil
114
ref
859
remove
cons
115
ref
860
remove
cons
nil
cons
cons
nil
cons
cons
128
ref
subst
deductAntisym
eqMp
eqMp
absThm
eqMp
eqMp
nil
76
ref
84
ref
847
remove
appTerm
858
remove
appTerm
nil
cons
cons
77
ref
9
ref
10
ref
851
remove
absTerm
878
def
appTerm
879
def
nil
cons
880
def
cons
nil
cons
cons
nil
cons
cons
134
ref
subst
proveHyp
169
ref
274
ref
878
ref
68
ref
appTerm
betaConv
appThm
275
ref
10
ref
169
ref
878
ref
24
ref
appTerm
betaConv
881
def
appThm
878
ref
152
ref
appTerm
betaConv
appThm
absThm
appThm
appThm
appThm
275
ref
10
ref
881
remove
absThm
appThm
appThm
nil
278
ref
878
remove
nil
cons
cons
nil
cons
nil
cons
cons
296
ref
subst
eqMp
eqMp
nil
76
ref
880
remove
cons
77
ref
9
ref
6
ref
78
ref
9
ref
10
ref
9
ref
689
ref
78
ref
562
ref
850
ref
appTerm
appTerm
28
ref
690
ref
appTerm
882
def
appTerm
883
def
absTerm
884
def
appTerm
885
def
absTerm
886
def
appTerm
887
def
appTerm
9
ref
10
ref
9
ref
689
ref
78
ref
569
ref
850
ref
appTerm
appTerm
338
ref
690
ref
appTerm
888
def
appTerm
absTerm
appTerm
889
def
absTerm
890
def
appTerm
891
def
appTerm
892
def
absTerm
893
def
appTerm
894
def
nil
cons
cons
nil
cons
cons
nil
cons
cons
143
ref
subst
proveHyp
nil
5
ref
893
remove
nil
cons
cons
nil
cons
nil
cons
cons
56
ref
subst
6
ref
nil
57
ref
892
remove
nil
cons
cons
nil
cons
nil
cons
cons
63
ref
subst
nil
76
ref
887
ref
nil
cons
895
def
cons
896
def
77
ref
891
remove
nil
cons
897
def
cons
nil
cons
898
def
cons
nil
cons
cons
899
def
95
ref
subst
899
remove
143
ref
subst
169
ref
583
ref
408
ref
appThm
210
ref
512
ref
subst
900
def
trans
appThm
582
ref
appThm
816
ref
trans
sym
62
ref
eqMp
nil
76
ref
78
ref
589
ref
411
ref
appTerm
appTerm
588
ref
appTerm
901
def
nil
cons
cons
77
ref
9
ref
689
ref
78
ref
78
ref
589
ref
835
ref
appTerm
appTerm
888
ref
appTerm
902
def
appTerm
78
ref
589
ref
837
ref
appTerm
appTerm
338
remove
693
ref
appTerm
903
def
appTerm
904
def
appTerm
905
def
absTerm
906
def
appTerm
907
def
nil
cons
cons
nil
cons
cons
nil
cons
cons
143
ref
subst
proveHyp
nil
5
ref
906
remove
nil
cons
cons
nil
cons
nil
cons
cons
56
ref
subst
689
ref
nil
57
ref
905
remove
nil
cons
cons
nil
cons
nil
cons
cons
63
ref
subst
nil
76
ref
902
ref
nil
cons
908
def
cons
77
ref
904
remove
nil
cons
909
def
cons
nil
cons
cons
nil
cons
cons
910
def
95
ref
subst
910
remove
143
ref
subst
169
ref
589
ref
refl
845
ref
appThm
nil
57
ref
588
ref
nil
cons
cons
nil
cons
nil
cons
cons
775
ref
subst
trans
appThm
793
ref
335
ref
subst
911
def
appThm
sym
169
ref
582
ref
appThm
882
ref
refl
912
def
appThm
nil
57
ref
882
ref
nil
cons
cons
nil
cons
nil
cons
cons
799
ref
subst
913
def
trans
sym
62
ref
eqMp
eqMp
eqMp
nil
114
ref
908
remove
cons
115
ref
909
remove
cons
nil
cons
cons
nil
cons
cons
128
ref
subst
deductAntisym
eqMp
eqMp
absThm
eqMp
eqMp
nil
76
ref
84
ref
901
remove
appTerm
907
remove
appTerm
nil
cons
cons
77
ref
9
ref
689
ref
902
remove
absTerm
914
def
appTerm
915
def
nil
cons
916
def
cons
nil
cons
cons
nil
cons
cons
134
ref
subst
proveHyp
169
ref
274
ref
914
ref
68
ref
appTerm
betaConv
appThm
275
ref
689
ref
169
ref
914
ref
690
ref
appTerm
betaConv
917
def
appThm
914
ref
693
ref
appTerm
betaConv
appThm
absThm
appThm
appThm
appThm
275
ref
689
ref
917
remove
absThm
appThm
appThm
nil
278
ref
914
remove
nil
cons
cons
nil
cons
nil
cons
cons
296
ref
subst
eqMp
eqMp
nil
76
ref
916
remove
cons
77
ref
9
ref
10
ref
78
ref
889
ref
appTerm
9
ref
689
ref
78
ref
592
ref
852
ref
appTerm
appTerm
888
ref
appTerm
918
def
absTerm
919
def
appTerm
920
def
appTerm
921
def
absTerm
922
def
appTerm
923
def
nil
cons
cons
nil
cons
cons
nil
cons
cons
143
ref
subst
proveHyp
nil
5
ref
922
remove
nil
cons
cons
nil
cons
nil
cons
cons
56
ref
subst
10
ref
nil
57
ref
921
remove
nil
cons
cons
nil
cons
nil
cons
cons
63
ref
subst
nil
76
ref
889
remove
nil
cons
924
def
cons
77
ref
920
remove
nil
cons
925
def
cons
nil
cons
926
def
cons
nil
cons
cons
927
def
95
ref
subst
927
remove
143
ref
subst
169
ref
601
ref
864
ref
appThm
appThm
588
ref
refl
928
def
appThm
sym
169
ref
562
ref
refl
929
def
555
ref
appThm
nil
57
ref
337
ref
cons
nil
cons
nil
cons
cons
930
def
480
ref
subst
931
def
trans
appThm
582
ref
appThm
816
ref
trans
sym
62
ref
eqMp
eqMp
nil
76
ref
78
ref
592
ref
545
ref
appTerm
appTerm
588
ref
appTerm
932
def
nil
cons
cons
77
ref
9
ref
689
ref
78
ref
918
ref
appTerm
78
ref
592
ref
867
ref
appTerm
appTerm
903
ref
appTerm
933
def
appTerm
934
def
absTerm
935
def
appTerm
936
def
nil
cons
cons
nil
cons
cons
nil
cons
cons
143
ref
subst
proveHyp
nil
5
ref
935
remove
nil
cons
cons
nil
cons
nil
cons
cons
56
ref
subst
689
ref
nil
57
ref
934
remove
nil
cons
cons
nil
cons
nil
cons
cons
63
ref
subst
nil
76
ref
918
remove
nil
cons
937
def
cons
77
ref
933
remove
nil
cons
938
def
cons
nil
cons
cons
nil
cons
cons
939
def
95
ref
subst
939
remove
143
ref
subst
169
ref
601
ref
875
ref
appThm
appThm
911
ref
appThm
nil
57
ref
883
remove
nil
cons
cons
nil
cons
nil
cons
cons
63
ref
subst
884
ref
690
ref
appTerm
940
def
betaConv
886
ref
24
ref
appTerm
941
def
betaConv
nil
896
remove
77
ref
941
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
134
ref
subst
34
ref
5
ref
886
remove
nil
cons
cons
160
ref
cons
nil
cons
cons
145
ref
subst
eqMp
eqMp
nil
76
ref
885
remove
nil
cons
cons
77
ref
940
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
134
ref
subst
proveHyp
34
ref
5
ref
884
remove
nil
cons
cons
827
ref
cons
nil
cons
cons
145
ref
subst
eqMp
eqMp
eqMp
trans
sym
62
ref
eqMp
eqMp
nil
114
ref
937
remove
cons
115
ref
938
remove
cons
nil
cons
cons
nil
cons
cons
128
ref
subst
deductAntisym
eqMp
eqMp
absThm
eqMp
eqMp
nil
76
ref
84
ref
932
remove
appTerm
936
remove
appTerm
nil
cons
cons
926
remove
cons
nil
cons
cons
134
ref
subst
proveHyp
169
ref
274
ref
919
ref
68
ref
appTerm
betaConv
appThm
275
ref
689
ref
169
ref
919
ref
690
ref
appTerm
betaConv
942
def
appThm
919
ref
693
ref
appTerm
betaConv
appThm
absThm
appThm
appThm
appThm
275
ref
689
ref
942
remove
absThm
appThm
appThm
nil
278
ref
919
remove
nil
cons
cons
nil
cons
nil
cons
cons
296
ref
subst
eqMp
eqMp
eqMp
nil
114
ref
924
remove
cons
115
ref
925
remove
cons
nil
cons
cons
nil
cons
cons
128
ref
subst
deductAntisym
eqMp
eqMp
absThm
eqMp
eqMp
nil
76
ref
84
ref
915
remove
appTerm
923
remove
appTerm
nil
cons
cons
898
remove
cons
nil
cons
cons
134
ref
subst
proveHyp
169
ref
274
ref
890
ref
68
ref
appTerm
betaConv
appThm
275
ref
10
ref
169
ref
890
ref
24
ref
appTerm
betaConv
943
def
appThm
890
ref
152
ref
appTerm
betaConv
appThm
absThm
appThm
appThm
appThm
275
ref
10
ref
943
remove
absThm
appThm
appThm
nil
278
ref
890
remove
nil
cons
cons
nil
cons
nil
cons
cons
296
ref
subst
eqMp
eqMp
eqMp
nil
114
ref
895
remove
cons
115
ref
897
remove
cons
nil
cons
cons
nil
cons
cons
128
ref
subst
deductAntisym
eqMp
eqMp
absThm
eqMp
eqMp
nil
76
ref
84
ref
879
remove
appTerm
894
remove
appTerm
nil
cons
cons
77
ref
9
ref
6
ref
887
remove
absTerm
944
def
appTerm
945
def
nil
cons
cons
nil
cons
cons
nil
cons
cons
134
ref
subst
proveHyp
169
ref
274
ref
944
ref
68
ref
appTerm
betaConv
appThm
275
ref
6
ref
169
ref
944
ref
21
ref
appTerm
betaConv
946
def
appThm
944
ref
22
ref
appTerm
betaConv
appThm
absThm
appThm
appThm
appThm
275
ref
6
ref
946
remove
absThm
appThm
appThm
nil
278
ref
944
remove
nil
cons
cons
nil
cons
nil
cons
cons
296
ref
subst
eqMp
eqMp
nil
945
remove
thm
169
ref
614
remove
appThm
408
ref
appThm
816
ref
trans
sym
62
ref
eqMp
nil
76
ref
78
ref
615
remove
appTerm
411
ref
appTerm
947
def
nil
cons
cons
77
ref
9
ref
689
ref
78
ref
78
ref
371
ref
835
ref
appTerm
appTerm
835
ref
appTerm
948
def
appTerm
78
ref
371
ref
837
ref
appTerm
appTerm
837
ref
appTerm
949
def
appTerm
950
def
absTerm
951
def
appTerm
952
def
nil
cons
cons
nil
cons
cons
nil
cons
cons
143
ref
subst
proveHyp
nil
5
ref
951
remove
nil
cons
cons
nil
cons
nil
cons
cons
56
ref
subst
689
ref
nil
57
ref
950
remove
nil
cons
cons
nil
cons
nil
cons
cons
63
ref
subst
nil
76
ref
948
ref
nil
cons
953
def
cons
77
ref
949
remove
nil
cons
954
def
cons
nil
cons
cons
nil
cons
cons
955
def
95
ref
subst
955
remove
143
ref
subst
169
ref
371
remove
refl
845
ref
appThm
438
ref
775
ref
subst
trans
appThm
845
ref
appThm
438
ref
730
ref
subst
trans
sym
62
ref
eqMp
eqMp
nil
114
ref
953
remove
cons
115
ref
954
remove
cons
nil
cons
cons
nil
cons
cons
128
ref
subst
deductAntisym
eqMp
eqMp
absThm
eqMp
eqMp
nil
76
ref
84
ref
947
remove
appTerm
952
remove
appTerm
nil
cons
cons
77
ref
9
ref
689
ref
948
remove
absTerm
956
def
appTerm
957
def
nil
cons
958
def
cons
nil
cons
cons
nil
cons
cons
134
ref
subst
proveHyp
169
ref
274
ref
956
ref
68
ref
appTerm
betaConv
appThm
275
ref
689
ref
169
ref
956
ref
690
ref
appTerm
betaConv
959
def
appThm
956
ref
693
ref
appTerm
betaConv
appThm
absThm
appThm
appThm
appThm
275
ref
689
ref
959
remove
absThm
appThm
appThm
nil
278
ref
956
remove
nil
cons
cons
nil
cons
nil
cons
cons
296
ref
subst
eqMp
eqMp
nil
76
ref
958
remove
cons
77
ref
9
ref
10
ref
78
ref
9
ref
689
ref
78
ref
452
remove
850
ref
appTerm
appTerm
835
ref
appTerm
absTerm
appTerm
960
def
appTerm
9
ref
689
ref
78
ref
456
ref
852
ref
appTerm
appTerm
835
ref
appTerm
961
def
absTerm
962
def
appTerm
963
def
appTerm
964
def
absTerm
965
def
appTerm
966
def
nil
cons
cons
nil
cons
cons
nil
cons
cons
143
ref
subst
proveHyp
nil
5
ref
965
remove
nil
cons
cons
nil
cons
nil
cons
cons
56
ref
subst
10
ref
nil
57
ref
964
remove
nil
cons
cons
nil
cons
nil
cons
cons
63
ref
subst
nil
76
ref
960
ref
nil
cons
967
def
cons
77
ref
963
remove
nil
cons
968
def
cons
nil
cons
969
def
cons
nil
cons
cons
970
def
95
ref
subst
970
remove
143
ref
subst
169
ref
626
remove
appThm
408
ref
appThm
816
ref
trans
sym
62
ref
eqMp
nil
76
ref
78
ref
618
remove
appTerm
411
ref
appTerm
971
def
nil
cons
cons
77
ref
9
ref
689
ref
78
ref
961
ref
appTerm
78
ref
456
ref
867
ref
appTerm
appTerm
837
ref
appTerm
972
def
appTerm
973
def
absTerm
974
def
appTerm
975
def
nil
cons
cons
nil
cons
cons
nil
cons
cons
143
ref
subst
proveHyp
nil
5
ref
974
remove
nil
cons
cons
nil
cons
nil
cons
cons
56
ref
subst
689
ref
nil
57
ref
973
remove
nil
cons
cons
nil
cons
nil
cons
cons
63
ref
subst
nil
76
ref
961
remove
nil
cons
976
def
cons
77
ref
972
remove
nil
cons
977
def
cons
nil
cons
cons
nil
cons
cons
978
def
95
ref
subst
978
remove
143
ref
subst
169
ref
456
ref
refl
875
ref
appThm
appThm
845
ref
appThm
nil
57
ref
456
remove
850
ref
appTerm
nil
cons
cons
nil
cons
nil
cons
cons
730
ref
subst
trans
sym
62
ref
eqMp
eqMp
nil
114
ref
976
remove
cons
115
ref
977
remove
cons
nil
cons
cons
nil
cons
cons
128
ref
subst
deductAntisym
eqMp
eqMp
absThm
eqMp
eqMp
nil
76
ref
84
ref
971
remove
appTerm
975
remove
appTerm
nil
cons
cons
969
remove
cons
nil
cons
cons
134
ref
subst
proveHyp
169
ref
274
ref
962
ref
68
ref
appTerm
betaConv
appThm
275
ref
689
ref
169
ref
962
ref
690
ref
appTerm
betaConv
979
def
appThm
962
ref
693
ref
appTerm
betaConv
appThm
absThm
appThm
appThm
appThm
275
ref
689
ref
979
remove
absThm
appThm
appThm
nil
278
ref
962
remove
nil
cons
cons
nil
cons
nil
cons
cons
296
ref
subst
eqMp
eqMp
eqMp
nil
114
ref
967
remove
cons
115
ref
968
remove
cons
nil
cons
cons
nil
cons
cons
128
ref
subst
deductAntisym
eqMp
eqMp
absThm
eqMp
eqMp
nil
76
ref
84
ref
957
remove
appTerm
966
remove
appTerm
nil
cons
cons
77
ref
9
ref
10
ref
960
remove
absTerm
980
def
appTerm
981
def
nil
cons
982
def
cons
nil
cons
cons
nil
cons
cons
134
ref
subst
proveHyp
169
ref
274
ref
980
ref
68
ref
appTerm
betaConv
appThm
275
ref
10
ref
169
ref
980
ref
24
ref
appTerm
betaConv
983
def
appThm
980
ref
152
ref
appTerm
betaConv
appThm
absThm
appThm
appThm
appThm
275
ref
10
ref
983
remove
absThm
appThm
appThm
nil
278
ref
980
remove
nil
cons
cons
nil
cons
nil
cons
cons
296
ref
subst
eqMp
eqMp
nil
76
ref
982
remove
cons
77
ref
9
ref
6
ref
78
ref
9
ref
10
ref
9
ref
689
ref
78
ref
486
ref
850
ref
appTerm
appTerm
882
ref
appTerm
984
def
absTerm
985
def
appTerm
986
def
absTerm
987
def
appTerm
988
def
appTerm
9
ref
10
ref
9
ref
689
ref
78
ref
490
remove
850
remove
appTerm
appTerm
888
ref
appTerm
absTerm
appTerm
989
def
absTerm
990
def
appTerm
991
def
appTerm
992
def
absTerm
993
def
appTerm
994
def
nil
cons
cons
nil
cons
cons
nil
cons
cons
143
ref
subst
proveHyp
nil
5
ref
993
remove
nil
cons
cons
nil
cons
nil
cons
cons
56
ref
subst
6
ref
nil
57
ref
992
remove
nil
cons
cons
nil
cons
nil
cons
cons
63
ref
subst
nil
76
ref
988
ref
nil
cons
995
def
cons
996
def
77
ref
991
remove
nil
cons
997
def
cons
nil
cons
998
def
cons
nil
cons
cons
999
def
95
ref
subst
999
remove
143
ref
subst
169
ref
504
remove
408
ref
appThm
900
remove
trans
appThm
582
ref
appThm
816
ref
trans
sym
62
ref
eqMp
nil
76
ref
78
ref
513
ref
411
ref
appTerm
appTerm
588
ref
appTerm
1000
def
nil
cons
cons
77
ref
9
ref
689
ref
78
ref
78
ref
513
ref
835
ref
appTerm
appTerm
888
ref
appTerm
1001
def
appTerm
78
ref
513
remove
837
ref
appTerm
appTerm
903
ref
appTerm
1002
def
appTerm
1003
def
absTerm
1004
def
appTerm
1005
def
nil
cons
cons
nil
cons
cons
nil
cons
cons
143
ref
subst
proveHyp
nil
5
ref
1004
remove
nil
cons
cons
nil
cons
nil
cons
cons
56
ref
subst
689
ref
nil
57
ref
1003
remove
nil
cons
cons
nil
cons
nil
cons
cons
63
ref
subst
nil
76
ref
1001
ref
nil
cons
1006
def
cons
77
ref
1002
remove
nil
cons
1007
def
cons
nil
cons
cons
nil
cons
cons
1008
def
95
ref
subst
1008
remove
143
ref
subst
169
ref
770
remove
845
ref
appThm
776
remove
trans
appThm
911
ref
appThm
sym
795
remove
912
ref
appThm
913
ref
trans
sym
62
ref
eqMp
eqMp
eqMp
nil
114
ref
1006
remove
cons
115
ref
1007
remove
cons
nil
cons
cons
nil
cons
cons
128
ref
subst
deductAntisym
eqMp
eqMp
absThm
eqMp
eqMp
nil
76
ref
84
ref
1000
remove
appTerm
1005
remove
appTerm
nil
cons
cons
77
ref
9
ref
689
ref
1001
remove
absTerm
1009
def
appTerm
1010
def
nil
cons
1011
def
cons
nil
cons
cons
nil
cons
cons
134
ref
subst
proveHyp
169
ref
274
ref
1009
ref
68
ref
appTerm
betaConv
appThm
275
ref
689
ref
169
ref
1009
ref
690
ref
appTerm
betaConv
1012
def
appThm
1009
ref
693
ref
appTerm
betaConv
appThm
absThm
appThm
appThm
appThm
275
ref
689
ref
1012
remove
absThm
appThm
appThm
nil
278
ref
1009
remove
nil
cons
cons
nil
cons
nil
cons
cons
296
ref
subst
eqMp
eqMp
nil
76
ref
1011
remove
cons
77
ref
9
ref
10
ref
78
ref
989
ref
appTerm
9
ref
689
ref
78
ref
517
ref
852
remove
appTerm
appTerm
888
ref
appTerm
1013
def
absTerm
1014
def
appTerm
1015
def
appTerm
1016
def
absTerm
1017
def
appTerm
1018
def
nil
cons
cons
nil
cons
cons
nil
cons
cons
143
ref
subst
proveHyp
nil
5
ref
1017
remove
nil
cons
cons
nil
cons
nil
cons
cons
56
ref
subst
10
ref
nil
57
ref
1016
remove
nil
cons
cons
nil
cons
nil
cons
cons
63
ref
subst
nil
76
ref
989
remove
nil
cons
1019
def
cons
77
ref
1015
remove
nil
cons
1020
def
cons
nil
cons
1021
def
cons
nil
cons
cons
1022
def
95
ref
subst
1022
remove
143
ref
subst
169
ref
526
ref
864
ref
appThm
appThm
928
ref
appThm
sym
169
ref
814
remove
555
ref
appThm
815
remove
trans
appThm
582
ref
appThm
816
ref
trans
sym
62
ref
eqMp
eqMp
nil
76
ref
78
ref
517
ref
545
ref
appTerm
appTerm
588
ref
appTerm
1023
def
nil
cons
cons
77
ref
9
ref
689
ref
78
ref
1013
ref
appTerm
78
ref
517
remove
867
remove
appTerm
appTerm
903
ref
appTerm
1024
def
appTerm
1025
def
absTerm
1026
def
appTerm
1027
def
nil
cons
cons
nil
cons
cons
nil
cons
cons
143
ref
subst
proveHyp
nil
5
ref
1026
remove
nil
cons
cons
nil
cons
nil
cons
cons
56
ref
subst
689
ref
nil
57
ref
1025
remove
nil
cons
cons
nil
cons
nil
cons
cons
63
ref
subst
nil
76
ref
1013
remove
nil
cons
1028
def
cons
77
ref
1024
remove
nil
cons
1029
def
cons
nil
cons
cons
nil
cons
cons
1030
def
95
ref
subst
1030
remove
143
ref
subst
169
ref
526
remove
875
remove
appThm
appThm
911
ref
appThm
nil
57
ref
984
remove
nil
cons
cons
nil
cons
nil
cons
cons
63
ref
subst
985
ref
690
ref
appTerm
1031
def
betaConv
987
ref
24
ref
appTerm
1032
def
betaConv
nil
996
remove
77
ref
1032
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
134
ref
subst
34
ref
5
ref
987
remove
nil
cons
cons
160
ref
cons
nil
cons
cons
145
ref
subst
eqMp
eqMp
nil
76
ref
986
remove
nil
cons
cons
77
ref
1031
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
134
ref
subst
proveHyp
34
ref
5
ref
985
remove
nil
cons
cons
827
ref
cons
nil
cons
cons
145
ref
subst
eqMp
eqMp
eqMp
trans
sym
62
ref
eqMp
eqMp
nil
114
ref
1028
remove
cons
115
ref
1029
remove
cons
nil
cons
cons
nil
cons
cons
128
ref
subst
deductAntisym
eqMp
eqMp
absThm
eqMp
eqMp
nil
76
ref
84
ref
1023
remove
appTerm
1027
remove
appTerm
nil
cons
cons
1021
remove
cons
nil
cons
cons
134
ref
subst
proveHyp
169
ref
274
ref
1014
ref
68
ref
appTerm
betaConv
appThm
275
ref
689
ref
169
ref
1014
ref
690
ref
appTerm
betaConv
1033
def
appThm
1014
ref
693
ref
appTerm
betaConv
appThm
absThm
appThm
appThm
appThm
275
ref
689
ref
1033
remove
absThm
appThm
appThm
nil
278
ref
1014
remove
nil
cons
cons
nil
cons
nil
cons
cons
296
ref
subst
eqMp
eqMp
eqMp
nil
114
ref
1019
remove
cons
115
ref
1020
remove
cons
nil
cons
cons
nil
cons
cons
128
ref
subst
deductAntisym
eqMp
eqMp
absThm
eqMp
eqMp
nil
76
ref
84
ref
1010
remove
appTerm
1018
remove
appTerm
nil
cons
cons
998
remove
cons
nil
cons
cons
134
ref
subst
proveHyp
169
ref
274
ref
990
ref
68
ref
appTerm
betaConv
appThm
275
ref
10
ref
169
ref
990
ref
24
ref
appTerm
betaConv
1034
def
appThm
990
ref
152
ref
appTerm
betaConv
appThm
absThm
appThm
appThm
appThm
275
ref
10
ref
1034
remove
absThm
appThm
appThm
nil
278
ref
990
remove
nil
cons
cons
nil
cons
nil
cons
cons
296
ref
subst
eqMp
eqMp
eqMp
nil
114
ref
995
remove
cons
115
ref
997
remove
cons
nil
cons
cons
nil
cons
cons
128
ref
subst
deductAntisym
eqMp
eqMp
absThm
eqMp
eqMp
nil
76
ref
84
ref
981
remove
appTerm
994
remove
appTerm
nil
cons
cons
77
ref
9
ref
6
ref
988
remove
absTerm
1035
def
appTerm
1036
def
nil
cons
cons
nil
cons
cons
nil
cons
cons
134
ref
subst
proveHyp
169
ref
274
ref
1035
ref
68
ref
appTerm
betaConv
appThm
275
ref
6
ref
169
ref
1035
ref
21
ref
appTerm
betaConv
1037
def
appThm
1035
ref
22
ref
appTerm
betaConv
appThm
absThm
appThm
appThm
appThm
275
ref
6
ref
1037
remove
absThm
appThm
appThm
nil
278
ref
1035
remove
nil
cons
cons
nil
cons
nil
cons
cons
296
ref
subst
eqMp
eqMp
nil
1036
remove
thm
169
ref
274
ref
408
ref
appThm
345
ref
appThm
330
ref
512
ref
subst
1038
def
trans
appThm
408
ref
appThm
816
ref
trans
sym
62
ref
eqMp
nil
76
ref
78
ref
537
ref
348
ref
appTerm
appTerm
411
ref
appTerm
1039
def
nil
cons
cons
77
ref
9
ref
689
ref
78
ref
78
ref
537
ref
691
ref
appTerm
appTerm
835
ref
appTerm
1040
def
appTerm
78
ref
537
remove
694
ref
appTerm
1041
def
appTerm
1042
def
837
ref
appTerm
1043
def
appTerm
1044
def
absTerm
1045
def
appTerm
1046
def
nil
cons
cons
nil
cons
cons
nil
cons
cons
143
ref
subst
proveHyp
nil
5
ref
1045
remove
nil
cons
cons
nil
cons
nil
cons
cons
56
ref
subst
689
ref
nil
57
ref
1044
remove
nil
cons
cons
nil
cons
nil
cons
cons
63
ref
subst
nil
76
ref
1040
ref
nil
cons
1047
def
cons
77
ref
1043
remove
nil
cons
1048
def
cons
nil
cons
cons
nil
cons
cons
1049
def
95
ref
subst
1049
remove
143
ref
subst
1042
remove
refl
845
ref
appThm
nil
57
ref
1041
remove
nil
cons
cons
nil
cons
nil
cons
cons
730
ref
subst
trans
sym
62
ref
eqMp
eqMp
nil
114
ref
1047
remove
cons
115
ref
1048
remove
cons
nil
cons
cons
nil
cons
cons
128
ref
subst
deductAntisym
eqMp
eqMp
absThm
eqMp
eqMp
nil
76
ref
84
ref
1039
remove
appTerm
1046
remove
appTerm
nil
cons
cons
77
ref
9
ref
689
ref
1040
remove
absTerm
1050
def
appTerm
1051
def
nil
cons
1052
def
cons
nil
cons
cons
nil
cons
cons
134
ref
subst
proveHyp
169
ref
274
ref
1050
ref
68
ref
appTerm
betaConv
appThm
275
ref
689
ref
169
ref
1050
ref
690
ref
appTerm
betaConv
1053
def
appThm
1050
ref
693
ref
appTerm
betaConv
appThm
absThm
appThm
appThm
appThm
275
ref
689
ref
1053
remove
absThm
appThm
appThm
nil
278
ref
1050
remove
nil
cons
cons
nil
cons
nil
cons
cons
296
ref
subst
eqMp
eqMp
nil
76
ref
1052
remove
cons
77
ref
9
ref
10
ref
78
ref
9
ref
689
ref
78
ref
541
remove
708
ref
appTerm
appTerm
835
ref
appTerm
absTerm
appTerm
1054
def
appTerm
9
ref
689
ref
78
ref
544
ref
710
ref
appTerm
appTerm
835
remove
appTerm
1055
def
absTerm
1056
def
appTerm
1057
def
appTerm
1058
def
absTerm
1059
def
appTerm
1060
def
nil
cons
cons
nil
cons
cons
nil
cons
cons
143
ref
subst
proveHyp
nil
5
ref
1059
remove
nil
cons
cons
nil
cons
nil
cons
cons
56
ref
subst
10
ref
nil
57
ref
1058
remove
nil
cons
cons
nil
cons
nil
cons
cons
63
ref
subst
nil
76
ref
1054
ref
nil
cons
1061
def
cons
77
ref
1057
remove
nil
cons
1062
def
cons
nil
cons
1063
def
cons
nil
cons
cons
1064
def
95
ref
subst
1064
remove
143
ref
subst
169
ref
863
ref
723
ref
appThm
725
remove
trans
appThm
833
ref
appThm
sym
169
ref
476
ref
appThm
408
ref
appThm
816
ref
trans
sym
62
ref
eqMp
eqMp
nil
76
ref
78
ref
544
ref
457
ref
appTerm
appTerm
411
ref
appTerm
1065
def
nil
cons
cons
77
ref
9
ref
689
ref
78
ref
1055
ref
appTerm
78
ref
544
remove
732
ref
appTerm
appTerm
837
remove
appTerm
1066
def
appTerm
1067
def
absTerm
1068
def
appTerm
1069
def
nil
cons
cons
nil
cons
cons
nil
cons
cons
143
ref
subst
proveHyp
nil
5
ref
1068
remove
nil
cons
cons
nil
cons
nil
cons
cons
56
ref
subst
689
ref
nil
57
ref
1067
remove
nil
cons
cons
nil
cons
nil
cons
cons
63
ref
subst
nil
76
ref
1055
remove
nil
cons
1070
def
cons
77
ref
1066
remove
nil
cons
1071
def
cons
nil
cons
cons
nil
cons
cons
1072
def
95
ref
subst
1072
remove
143
ref
subst
169
ref
863
remove
743
ref
appThm
745
remove
trans
appThm
845
remove
appThm
746
remove
trans
sym
62
ref
eqMp
eqMp
nil
114
ref
1070
remove
cons
115
ref
1071
remove
cons
nil
cons
cons
nil
cons
cons
128
ref
subst
deductAntisym
eqMp
eqMp
absThm
eqMp
eqMp
nil
76
ref
84
ref
1065
remove
appTerm
1069
remove
appTerm
nil
cons
cons
1063
remove
cons
nil
cons
cons
134
ref
subst
proveHyp
169
ref
274
ref
1056
ref
68
ref
appTerm
betaConv
appThm
275
ref
689
ref
169
ref
1056
ref
690
ref
appTerm
betaConv
1073
def
appThm
1056
ref
693
ref
appTerm
betaConv
appThm
absThm
appThm
appThm
appThm
275
ref
689
ref
1073
remove
absThm
appThm
appThm
nil
278
ref
1056
remove
nil
cons
cons
nil
cons
nil
cons
cons
296
ref
subst
eqMp
eqMp
eqMp
nil
114
ref
1061
remove
cons
115
ref
1062
remove
cons
nil
cons
cons
nil
cons
cons
128
ref
subst
deductAntisym
eqMp
eqMp
absThm
eqMp
eqMp
nil
76
ref
84
ref
1051
remove
appTerm
1060
remove
appTerm
nil
cons
cons
77
ref
9
ref
10
ref
1054
remove
absTerm
1074
def
appTerm
1075
def
nil
cons
1076
def
cons
nil
cons
cons
nil
cons
cons
134
ref
subst
proveHyp
169
ref
274
ref
1074
ref
68
ref
appTerm
betaConv
appThm
275
ref
10
ref
169
ref
1074
ref
24
ref
appTerm
betaConv
1077
def
appThm
1074
ref
152
ref
appTerm
betaConv
appThm
absThm
appThm
appThm
appThm
275
ref
10
ref
1077
remove
absThm
appThm
appThm
nil
278
ref
1074
remove
nil
cons
cons
nil
cons
nil
cons
cons
296
ref
subst
eqMp
eqMp
nil
76
ref
1076
remove
cons
77
ref
9
ref
6
ref
78
ref
9
ref
10
ref
9
ref
689
ref
78
ref
562
ref
708
ref
appTerm
appTerm
882
remove
appTerm
1078
def
absTerm
1079
def
appTerm
1080
def
absTerm
1081
def
appTerm
1082
def
appTerm
9
ref
10
ref
9
ref
689
ref
78
ref
569
remove
708
remove
appTerm
appTerm
888
ref
appTerm
absTerm
appTerm
1083
def
absTerm
1084
def
appTerm
1085
def
appTerm
1086
def
absTerm
1087
def
appTerm
1088
def
nil
cons
cons
nil
cons
cons
nil
cons
cons
143
ref
subst
proveHyp
nil
5
ref
1087
remove
nil
cons
cons
nil
cons
nil
cons
cons
56
ref
subst
6
ref
nil
57
ref
1086
remove
nil
cons
cons
nil
cons
nil
cons
cons
63
ref
subst
nil
76
ref
1082
ref
nil
cons
1089
def
cons
1090
def
77
ref
1085
remove
nil
cons
1091
def
cons
nil
cons
1092
def
cons
nil
cons
cons
1093
def
95
ref
subst
1093
remove
143
ref
subst
169
ref
583
ref
345
ref
appThm
1038
remove
trans
appThm
582
ref
appThm
816
ref
trans
sym
62
ref
eqMp
nil
76
ref
78
ref
589
ref
348
ref
appTerm
appTerm
588
ref
appTerm
1094
def
nil
cons
cons
77
ref
9
ref
689
ref
78
ref
78
ref
589
ref
691
ref
appTerm
appTerm
888
ref
appTerm
1095
def
appTerm
78
ref
589
remove
694
remove
appTerm
appTerm
1096
def
903
ref
appTerm
1097
def
appTerm
1098
def
absTerm
1099
def
appTerm
1100
def
nil
cons
cons
nil
cons
cons
nil
cons
cons
143
ref
subst
proveHyp
nil
5
ref
1099
remove
nil
cons
cons
nil
cons
nil
cons
cons
56
ref
subst
689
ref
nil
57
ref
1098
remove
nil
cons
cons
nil
cons
nil
cons
cons
63
ref
subst
nil
76
ref
1095
ref
nil
cons
1101
def
cons
77
ref
1097
remove
nil
cons
1102
def
cons
nil
cons
cons
nil
cons
cons
1103
def
95
ref
subst
1103
remove
143
ref
subst
1096
remove
refl
911
ref
appThm
sym
169
ref
583
remove
nil
741
remove
340
remove
cons
nil
cons
cons
244
ref
subst
245
ref
793
remove
469
ref
subst
appThm
691
ref
refl
appThm
nil
57
ref
691
remove
nil
cons
cons
nil
cons
nil
cons
cons
1104
def
474
ref
subst
trans
trans
appThm
1104
remove
512
ref
subst
trans
appThm
912
remove
appThm
913
remove
trans
sym
62
ref
eqMp
eqMp
eqMp
nil
114
ref
1101
remove
cons
115
ref
1102
remove
cons
nil
cons
cons
nil
cons
cons
128
ref
subst
deductAntisym
eqMp
eqMp
absThm
eqMp
eqMp
nil
76
ref
84
ref
1094
remove
appTerm
1100
remove
appTerm
nil
cons
cons
77
ref
9
ref
689
ref
1095
remove
absTerm
1105
def
appTerm
1106
def
nil
cons
1107
def
cons
nil
cons
cons
nil
cons
cons
134
ref
subst
proveHyp
169
ref
274
ref
1105
ref
68
ref
appTerm
betaConv
appThm
275
ref
689
ref
169
ref
1105
ref
690
ref
appTerm
betaConv
1108
def
appThm
1105
ref
693
ref
appTerm
betaConv
appThm
absThm
appThm
appThm
appThm
275
ref
689
ref
1108
remove
absThm
appThm
appThm
nil
278
ref
1105
remove
nil
cons
cons
nil
cons
nil
cons
cons
296
ref
subst
eqMp
eqMp
nil
76
ref
1107
remove
cons
77
ref
9
ref
10
ref
78
ref
1083
ref
appTerm
9
ref
689
ref
78
ref
592
ref
710
remove
appTerm
appTerm
888
remove
appTerm
1109
def
absTerm
1110
def
appTerm
1111
def
appTerm
1112
def
absTerm
1113
def
appTerm
1114
def
nil
cons
cons
nil
cons
cons
nil
cons
cons
143
ref
subst
proveHyp
nil
5
ref
1113
remove
nil
cons
cons
nil
cons
nil
cons
cons
56
ref
subst
10
ref
nil
57
ref
1112
remove
nil
cons
cons
nil
cons
nil
cons
cons
63
ref
subst
nil
76
ref
1083
remove
nil
cons
1115
def
cons
77
ref
1111
remove
nil
cons
1116
def
cons
nil
cons
1117
def
cons
nil
cons
cons
1118
def
95
ref
subst
1118
remove
143
ref
subst
169
ref
601
ref
723
ref
appThm
appThm
928
remove
appThm
sym
169
ref
929
ref
476
ref
appThm
931
remove
trans
appThm
582
ref
appThm
816
ref
trans
sym
62
ref
eqMp
eqMp
nil
76
ref
78
ref
592
ref
457
ref
appTerm
appTerm
588
ref
appTerm
1119
def
nil
cons
cons
77
ref
9
ref
689
ref
78
ref
1109
ref
appTerm
78
ref
592
remove
732
remove
appTerm
appTerm
903
remove
appTerm
1120
def
appTerm
1121
def
absTerm
1122
def
appTerm
1123
def
nil
cons
cons
nil
cons
cons
nil
cons
cons
143
ref
subst
proveHyp
nil
5
ref
1122
remove
nil
cons
cons
nil
cons
nil
cons
cons
56
ref
subst
689
ref
nil
57
ref
1121
remove
nil
cons
cons
nil
cons
nil
cons
cons
63
ref
subst
nil
76
ref
1109
remove
nil
cons
1124
def
cons
77
ref
1120
remove
nil
cons
1125
def
cons
nil
cons
cons
nil
cons
cons
1126
def
95
ref
subst
1126
remove
143
ref
subst
169
ref
601
remove
743
remove
appThm
appThm
911
remove
appThm
nil
57
ref
1078
remove
nil
cons
cons
nil
cons
nil
cons
cons
63
ref
subst
1079
ref
690
ref
appTerm
1127
def
betaConv
1081
ref
24
ref
appTerm
1128
def
betaConv
nil
1090
remove
77
ref
1128
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
134
ref
subst
34
ref
5
ref
1081
remove
nil
cons
cons
160
ref
cons
nil
cons
cons
145
ref
subst
eqMp
eqMp
nil
76
ref
1080
remove
nil
cons
cons
77
ref
1127
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
134
ref
subst
proveHyp
34
ref
5
ref
1079
remove
nil
cons
cons
827
remove
cons
nil
cons
cons
145
ref
subst
eqMp
eqMp
eqMp
trans
sym
62
ref
eqMp
eqMp
nil
114
ref
1124
remove
cons
115
ref
1125
remove
cons
nil
cons
cons
nil
cons
cons
128
ref
subst
deductAntisym
eqMp
eqMp
absThm
eqMp
eqMp
nil
76
ref
84
ref
1119
remove
appTerm
1123
remove
appTerm
nil
cons
cons
1117
remove
cons
nil
cons
cons
134
ref
subst
proveHyp
169
ref
274
ref
1110
ref
68
ref
appTerm
betaConv
appThm
275
ref
689
ref
169
ref
1110
ref
690
remove
appTerm
betaConv
1129
def
appThm
1110
ref
693
remove
appTerm
betaConv
appThm
absThm
appThm
appThm
appThm
275
ref
689
remove
1129
remove
absThm
appThm
appThm
nil
278
ref
1110
remove
nil
cons
cons
nil
cons
nil
cons
cons
296
ref
subst
eqMp
eqMp
eqMp
nil
114
ref
1115
remove
cons
115
ref
1116
remove
cons
nil
cons
cons
nil
cons
cons
128
ref
subst
deductAntisym
eqMp
eqMp
absThm
eqMp
eqMp
nil
76
ref
84
ref
1106
remove
appTerm
1114
remove
appTerm
nil
cons
cons
1092
remove
cons
nil
cons
cons
134
ref
subst
proveHyp
169
ref
274
ref
1084
ref
68
ref
appTerm
betaConv
appThm
275
ref
10
ref
169
ref
1084
ref
24
ref
appTerm
betaConv
1130
def
appThm
1084
ref
152
ref
appTerm
betaConv
appThm
absThm
appThm
appThm
appThm
275
ref
10
ref
1130
remove
absThm
appThm
appThm
nil
278
ref
1084
remove
nil
cons
cons
nil
cons
nil
cons
cons
296
ref
subst
eqMp
eqMp
eqMp
nil
114
ref
1089
remove
cons
115
ref
1091
remove
cons
nil
cons
cons
nil
cons
cons
128
ref
subst
deductAntisym
eqMp
eqMp
absThm
eqMp
eqMp
nil
76
ref
84
ref
1075
remove
appTerm
1088
remove
appTerm
nil
cons
cons
77
ref
9
ref
6
ref
1082
remove
absTerm
1131
def
appTerm
1132
def
nil
cons
cons
nil
cons
cons
nil
cons
cons
134
ref
subst
proveHyp
169
ref
274
ref
1131
ref
68
ref
appTerm
betaConv
appThm
275
ref
6
ref
169
ref
1131
ref
21
ref
appTerm
betaConv
1133
def
appThm
1131
ref
22
ref
appTerm
betaConv
appThm
absThm
appThm
appThm
appThm
275
ref
6
ref
1133
remove
absThm
appThm
appThm
nil
278
ref
1131
remove
nil
cons
cons
nil
cons
nil
cons
cons
296
ref
subst
eqMp
eqMp
nil
1132
remove
thm
438
remove
57
ref
14
ref
305
ref
59
ref
appTerm
appTerm
59
ref
appTerm
absTerm
1134
def
59
ref
appTerm
1135
def
betaConv
nil
191
ref
1134
ref
appTerm
1136
def
axiom
nil
76
ref
1136
remove
nil
cons
cons
77
ref
1135
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
134
ref
subst
proveHyp
193
ref
194
ref
1134
remove
nil
cons
cons
215
ref
cons
nil
cons
cons
145
ref
subst
eqMp
eqMp
subst
345
ref
trans
sym
62
ref
eqMp
nil
76
ref
235
ref
348
ref
appTerm
1137
def
348
ref
appTerm
1138
def
nil
cons
cons
77
ref
9
ref
10
ref
78
ref
235
ref
351
ref
appTerm
1139
def
453
ref
appTerm
1140
def
appTerm
235
ref
352
ref
appTerm
1141
def
457
ref
appTerm
1142
def
appTerm
1143
def
absTerm
1144
def
appTerm
1145
def
nil
cons
cons
nil
cons
cons
nil
cons
cons
143
ref
subst
proveHyp
nil
5
ref
1144
remove
nil
cons
cons
nil
cons
nil
cons
cons
56
ref
subst
10
ref
nil
57
ref
1143
remove
nil
cons
cons
nil
cons
nil
cons
cons
63
ref
subst
nil
76
ref
1140
ref
nil
cons
1146
def
cons
77
ref
1142
remove
nil
cons
1147
def
cons
nil
cons
cons
nil
cons
cons
1148
def
95
ref
subst
1148
remove
143
ref
subst
245
ref
721
ref
appThm
1149
def
723
remove
appThm
724
remove
399
ref
subst
trans
sym
62
ref
eqMp
eqMp
nil
114
ref
1146
remove
cons
115
ref
1147
remove
cons
nil
cons
cons
nil
cons
cons
128
ref
subst
deductAntisym
eqMp
eqMp
absThm
eqMp
eqMp
nil
76
ref
84
ref
1138
remove
appTerm
1145
remove
appTerm
nil
cons
cons
77
ref
9
ref
10
ref
1140
remove
absTerm
1150
def
appTerm
1151
def
nil
cons
1152
def
cons
nil
cons
cons
nil
cons
cons
134
ref
subst
proveHyp
169
ref
274
ref
1150
ref
68
ref
appTerm
betaConv
appThm
275
ref
10
ref
169
ref
1150
ref
24
ref
appTerm
betaConv
1153
def
appThm
1150
ref
152
ref
appTerm
betaConv
appThm
absThm
appThm
appThm
appThm
275
ref
10
ref
1153
remove
absThm
appThm
appThm
nil
278
ref
1150
remove
nil
cons
cons
nil
cons
nil
cons
cons
296
ref
subst
eqMp
eqMp
nil
76
ref
1152
remove
cons
77
ref
9
ref
6
ref
78
ref
9
ref
10
ref
235
ref
237
ref
appTerm
1154
def
487
ref
appTerm
1155
def
absTerm
1156
def
appTerm
1157
def
appTerm
9
ref
10
ref
235
ref
25
ref
appTerm
1158
def
491
ref
appTerm
1159
def
absTerm
1160
def
appTerm
1161
def
appTerm
1162
def
absTerm
1163
def
appTerm
1164
def
nil
cons
cons
nil
cons
cons
nil
cons
cons
143
ref
subst
proveHyp
nil
5
ref
1163
remove
nil
cons
cons
nil
cons
nil
cons
cons
56
ref
subst
6
ref
nil
57
ref
1162
remove
nil
cons
cons
nil
cons
nil
cons
cons
63
ref
subst
nil
76
ref
1157
ref
nil
cons
1165
def
cons
1166
def
77
ref
1161
remove
nil
cons
1167
def
cons
nil
cons
1168
def
cons
nil
cons
cons
1169
def
95
ref
subst
1169
remove
143
ref
subst
235
ref
221
ref
appTerm
1170
def
refl
nil
10
ref
65
ref
cons
nil
cons
nil
cons
cons
379
ref
subst
1171
def
appThm
771
remove
370
ref
subst
trans
sym
62
ref
eqMp
nil
76
ref
1170
ref
514
ref
appTerm
1172
def
nil
cons
cons
77
ref
9
ref
10
ref
78
ref
1159
ref
appTerm
235
ref
224
ref
appTerm
1173
def
518
ref
appTerm
1174
def
appTerm
1175
def
absTerm
1176
def
appTerm
1177
def
nil
cons
cons
nil
cons
cons
nil
cons
cons
143
ref
subst
proveHyp
nil
5
ref
1176
remove
nil
cons
cons
nil
cons
nil
cons
cons
56
ref
subst
10
ref
nil
57
ref
1175
remove
nil
cons
cons
nil
cons
nil
cons
cons
63
ref
subst
nil
76
ref
1159
remove
nil
cons
1178
def
cons
77
ref
1174
remove
nil
cons
1179
def
cons
nil
cons
cons
nil
cons
cons
1180
def
95
ref
subst
1180
remove
143
ref
subst
245
ref
327
ref
appThm
1181
def
528
ref
appThm
nil
57
ref
1155
remove
nil
cons
cons
nil
cons
nil
cons
cons
63
ref
subst
1156
ref
24
ref
appTerm
1182
def
betaConv
nil
1166
remove
77
ref
1182
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
134
ref
subst
34
ref
5
ref
1156
remove
nil
cons
cons
160
ref
cons
nil
cons
cons
145
ref
subst
eqMp
eqMp
eqMp
trans
sym
62
ref
eqMp
eqMp
nil
114
ref
1178
remove
cons
115
ref
1179
remove
cons
nil
cons
cons
nil
cons
cons
128
ref
subst
deductAntisym
eqMp
eqMp
absThm
eqMp
eqMp
nil
76
ref
84
ref
1172
remove
appTerm
1177
remove
appTerm
nil
cons
cons
1168
remove
cons
nil
cons
cons
134
ref
subst
proveHyp
169
ref
274
ref
1160
ref
68
ref
appTerm
betaConv
appThm
275
ref
10
ref
169
ref
1160
ref
24
ref
appTerm
betaConv
1183
def
appThm
1160
ref
152
ref
appTerm
betaConv
appThm
absThm
appThm
appThm
appThm
275
ref
10
ref
1183
remove
absThm
appThm
appThm
nil
278
ref
1160
remove
nil
cons
cons
nil
cons
nil
cons
cons
296
ref
subst
eqMp
eqMp
eqMp
nil
114
ref
1165
remove
cons
115
ref
1167
remove
cons
nil
cons
cons
nil
cons
cons
128
ref
subst
deductAntisym
eqMp
eqMp
absThm
eqMp
eqMp
nil
76
ref
84
ref
1151
remove
appTerm
1164
remove
appTerm
nil
cons
cons
77
ref
9
ref
6
ref
1157
remove
absTerm
1184
def
appTerm
1185
def
nil
cons
cons
nil
cons
cons
nil
cons
cons
134
ref
subst
proveHyp
169
ref
274
ref
1184
ref
68
ref
appTerm
betaConv
appThm
275
ref
6
ref
169
ref
1184
ref
21
ref
appTerm
betaConv
1186
def
appThm
1184
ref
22
ref
appTerm
betaConv
appThm
absThm
appThm
appThm
appThm
275
ref
6
ref
1186
remove
absThm
appThm
appThm
nil
278
ref
1184
remove
nil
cons
cons
nil
cons
nil
cons
cons
296
ref
subst
eqMp
eqMp
nil
1185
remove
thm
235
ref
411
ref
appTerm
1187
def
refl
1188
def
1188
remove
344
ref
appThm
535
ref
370
ref
subst
1189
def
trans
1190
def
appThm
1189
remove
trans
sym
62
ref
eqMp
nil
76
ref
1187
ref
1187
remove
450
ref
appTerm
1191
def
appTerm
1192
def
nil
cons
cons
77
ref
9
ref
10
ref
78
ref
235
ref
540
ref
appTerm
1193
def
235
ref
542
ref
appTerm
454
ref
appTerm
appTerm
1194
def
appTerm
235
ref
382
ref
appTerm
1195
def
235
ref
545
ref
appTerm
361
ref
appTerm
appTerm
1196
def
appTerm
1197
def
absTerm
1198
def
appTerm
1199
def
nil
cons
cons
nil
cons
cons
nil
cons
cons
143
ref
subst
proveHyp
nil
5
ref
1198
remove
nil
cons
cons
nil
cons
nil
cons
cons
56
ref
subst
10
ref
nil
57
ref
1197
remove
nil
cons
cons
nil
cons
nil
cons
cons
63
ref
subst
nil
76
ref
1194
ref
nil
cons
1200
def
cons
77
ref
1196
remove
nil
cons
1201
def
cons
nil
cons
cons
nil
cons
cons
1202
def
95
ref
subst
1202
remove
143
ref
subst
245
ref
554
ref
appThm
245
ref
555
ref
appThm
469
remove
appThm
210
ref
474
ref
subst
trans
appThm
557
ref
309
ref
subst
trans
sym
10
ref
556
ref
absTerm
1203
def
24
ref
appTerm
1204
def
betaConv
1205
def
245
ref
344
ref
appThm
833
ref
appThm
535
remove
399
ref
subst
1206
def
trans
sym
62
ref
eqMp
nil
76
ref
235
ref
450
ref
appTerm
411
ref
appTerm
1207
def
nil
cons
cons
77
ref
9
ref
10
ref
78
ref
556
ref
appTerm
362
remove
382
ref
appTerm
appTerm
absTerm
appTerm
1208
def
nil
cons
cons
nil
cons
cons
nil
cons
cons
143
ref
subst
proveHyp
nil
5
ref
"n'"
1
ref
var
1209
def
78
ref
235
ref
360
ref
1209
ref
varTerm
1210
def
appTerm
appTerm
381
ref
1210
ref
appTerm
appTerm
1211
def
appTerm
235
ref
360
remove
20
ref
1210
ref
appTerm
1212
def
appTerm
1213
def
appTerm
1214
def
381
remove
1212
ref
appTerm
appTerm
1215
def
appTerm
1216
def
absTerm
nil
cons
cons
nil
cons
nil
cons
cons
56
ref
subst
1209
ref
nil
57
ref
1216
remove
nil
cons
cons
nil
cons
nil
cons
cons
63
ref
subst
nil
76
ref
1211
remove
nil
cons
1217
def
cons
77
ref
1215
remove
nil
cons
1218
def
cons
nil
cons
cons
nil
cons
cons
1219
def
95
ref
subst
1219
remove
143
ref
subst
1214
remove
refl
nil
10
ref
1210
ref
nil
cons
1220
def
cons
nil
cons
nil
cons
cons
380
ref
subst
appThm
nil
57
ref
1213
remove
nil
cons
cons
nil
cons
nil
cons
cons
370
ref
subst
trans
sym
62
ref
eqMp
eqMp
nil
114
ref
1217
remove
cons
115
ref
1218
remove
cons
nil
cons
cons
nil
cons
cons
128
ref
subst
deductAntisym
eqMp
eqMp
absThm
eqMp
eqMp
nil
76
ref
84
ref
1207
remove
appTerm
1208
remove
appTerm
nil
cons
cons
77
ref
9
ref
1203
ref
appTerm
nil
cons
1221
def
cons
nil
cons
cons
nil
cons
cons
134
ref
subst
proveHyp
169
ref
274
ref
1203
ref
68
ref
appTerm
betaConv
appThm
275
ref
10
ref
169
ref
1205
ref
appThm
1203
ref
152
ref
appTerm
betaConv
appThm
absThm
appThm
appThm
appThm
275
ref
10
ref
1205
remove
absThm
appThm
appThm
nil
278
ref
1203
remove
nil
cons
1222
def
cons
nil
cons
nil
cons
cons
296
ref
subst
eqMp
eqMp
1223
def
nil
76
ref
1221
remove
cons
77
ref
1204
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
134
ref
subst
proveHyp
34
ref
5
ref
1222
remove
cons
160
ref
cons
nil
cons
cons
145
ref
subst
eqMp
eqMp
1224
def
eqMp
eqMp
nil
114
ref
1200
remove
cons
115
ref
1201
remove
cons
nil
cons
cons
nil
cons
cons
128
ref
subst
deductAntisym
eqMp
eqMp
absThm
eqMp
eqMp
nil
76
ref
84
ref
1192
remove
appTerm
1199
remove
appTerm
nil
cons
cons
77
ref
9
ref
10
ref
1194
remove
absTerm
1225
def
appTerm
1226
def
nil
cons
1227
def
cons
nil
cons
cons
nil
cons
cons
134
ref
subst
proveHyp
169
ref
274
ref
1225
ref
68
ref
appTerm
betaConv
appThm
275
ref
10
ref
169
ref
1225
ref
24
ref
appTerm
betaConv
1228
def
appThm
1225
ref
152
ref
appTerm
betaConv
appThm
absThm
appThm
appThm
appThm
275
ref
10
ref
1228
remove
absThm
appThm
appThm
nil
278
ref
1225
remove
nil
cons
cons
nil
cons
nil
cons
cons
296
ref
subst
eqMp
eqMp
nil
76
ref
1227
remove
cons
77
ref
9
ref
6
ref
78
ref
9
ref
10
ref
235
ref
29
ref
appTerm
1229
def
235
ref
563
ref
appTerm
248
ref
appTerm
appTerm
1230
def
absTerm
1231
def
appTerm
1232
def
appTerm
9
ref
10
ref
235
ref
568
ref
appTerm
1233
def
235
ref
570
ref
appTerm
492
ref
appTerm
appTerm
1234
def
absTerm
1235
def
appTerm
1236
def
appTerm
1237
def
absTerm
1238
def
appTerm
1239
def
nil
cons
cons
nil
cons
cons
nil
cons
cons
143
ref
subst
proveHyp
nil
5
ref
1238
remove
nil
cons
cons
nil
cons
nil
cons
cons
56
ref
subst
6
ref
nil
57
ref
1237
remove
nil
cons
cons
nil
cons
nil
cons
cons
63
ref
subst
nil
76
ref
1232
ref
nil
cons
1240
def
cons
1241
def
77
ref
1236
remove
nil
cons
1242
def
cons
nil
cons
1243
def
cons
nil
cons
cons
1244
def
95
ref
subst
1244
remove
143
ref
subst
245
ref
582
ref
appThm
1245
def
245
ref
584
ref
appThm
198
remove
appThm
586
ref
309
remove
subst
trans
appThm
586
ref
474
ref
subst
trans
sym
6
ref
585
remove
absTerm
1246
def
21
ref
appTerm
1247
def
betaConv
1223
remove
nil
76
ref
9
ref
1246
ref
appTerm
nil
cons
cons
77
ref
1247
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
134
ref
subst
proveHyp
34
ref
5
ref
1246
remove
nil
cons
cons
137
ref
cons
nil
cons
cons
145
ref
subst
eqMp
eqMp
1248
def
eqMp
nil
76
ref
235
ref
588
ref
appTerm
1249
def
235
ref
590
ref
appTerm
515
ref
appTerm
appTerm
1250
def
nil
cons
cons
77
ref
9
ref
10
ref
78
ref
1234
ref
appTerm
235
ref
339
ref
appTerm
1251
def
235
ref
593
ref
appTerm
247
ref
appTerm
appTerm
1252
def
appTerm
1253
def
absTerm
1254
def
appTerm
1255
def
nil
cons
cons
nil
cons
cons
nil
cons
cons
143
ref
subst
proveHyp
nil
5
ref
1254
remove
nil
cons
cons
nil
cons
nil
cons
cons
56
ref
subst
10
ref
nil
57
ref
1253
remove
nil
cons
cons
nil
cons
nil
cons
cons
63
ref
subst
nil
76
ref
1234
remove
nil
cons
1256
def
cons
77
ref
1252
remove
nil
cons
1257
def
cons
nil
cons
cons
nil
cons
cons
1258
def
95
ref
subst
1258
remove
143
ref
subst
245
ref
335
ref
appThm
1259
def
245
ref
602
ref
appThm
255
ref
appThm
appThm
nil
57
ref
1230
remove
nil
cons
cons
nil
cons
nil
cons
cons
63
ref
subst
1231
ref
24
ref
appTerm
1260
def
betaConv
nil
1241
remove
77
ref
1260
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
134
ref
subst
34
ref
5
ref
1231
remove
nil
cons
cons
160
ref
cons
nil
cons
cons
145
ref
subst
eqMp
eqMp
eqMp
trans
sym
62
ref
eqMp
eqMp
nil
114
ref
1256
remove
cons
115
ref
1257
remove
cons
nil
cons
cons
nil
cons
cons
128
ref
subst
deductAntisym
eqMp
eqMp
absThm
eqMp
eqMp
nil
76
ref
84
ref
1250
remove
appTerm
1255
remove
appTerm
nil
cons
cons
1243
remove
cons
nil
cons
cons
134
ref
subst
proveHyp
169
ref
274
ref
1235
ref
68
ref
appTerm
betaConv
appThm
275
ref
10
ref
169
ref
1235
ref
24
ref
appTerm
betaConv
1261
def
appThm
1235
ref
152
ref
appTerm
betaConv
appThm
absThm
appThm
appThm
appThm
275
ref
10
ref
1261
remove
absThm
appThm
appThm
nil
278
ref
1235
remove
nil
cons
cons
nil
cons
nil
cons
cons
296
ref
subst
eqMp
eqMp
eqMp
nil
114
ref
1240
remove
cons
115
ref
1242
remove
cons
nil
cons
cons
nil
cons
cons
128
ref
subst
deductAntisym
eqMp
eqMp
absThm
eqMp
eqMp
nil
76
ref
84
ref
1226
remove
appTerm
1239
remove
appTerm
nil
cons
cons
77
ref
9
ref
6
ref
1232
remove
absTerm
1262
def
appTerm
1263
def
nil
cons
cons
nil
cons
cons
nil
cons
cons
134
ref
subst
proveHyp
169
ref
274
ref
1262
ref
68
ref
appTerm
betaConv
appThm
275
ref
6
ref
169
ref
1262
ref
21
ref
appTerm
betaConv
1264
def
appThm
1262
ref
22
ref
appTerm
betaConv
appThm
absThm
appThm
appThm
appThm
275
ref
6
ref
1264
remove
absThm
appThm
appThm
nil
278
ref
1262
remove
nil
cons
cons
nil
cons
nil
cons
cons
296
ref
subst
eqMp
eqMp
nil
1263
remove
thm
245
ref
345
ref
appThm
833
remove
appThm
1206
remove
trans
sym
62
ref
eqMp
nil
76
ref
1137
remove
411
ref
appTerm
1265
def
nil
cons
cons
77
ref
9
ref
10
ref
78
ref
1139
remove
542
ref
appTerm
1266
def
appTerm
1141
remove
545
ref
appTerm
1267
def
appTerm
1268
def
absTerm
1269
def
appTerm
1270
def
nil
cons
cons
nil
cons
cons
nil
cons
cons
143
ref
subst
proveHyp
nil
5
ref
1269
remove
nil
cons
cons
nil
cons
nil
cons
cons
56
ref
subst
10
ref
nil
57
ref
1268
remove
nil
cons
cons
nil
cons
nil
cons
cons
63
ref
subst
nil
76
ref
1266
ref
nil
cons
1271
def
cons
77
ref
1267
remove
nil
cons
1272
def
cons
nil
cons
cons
nil
cons
cons
1273
def
95
ref
subst
1273
remove
143
ref
subst
1149
remove
864
remove
appThm
865
remove
399
ref
subst
trans
sym
62
ref
eqMp
eqMp
nil
114
ref
1271
remove
cons
115
ref
1272
remove
cons
nil
cons
cons
nil
cons
cons
128
ref
subst
deductAntisym
eqMp
eqMp
absThm
eqMp
eqMp
nil
76
ref
84
ref
1265
remove
appTerm
1270
remove
appTerm
nil
cons
cons
77
ref
9
ref
10
ref
1266
remove
absTerm
1274
def
appTerm
1275
def
nil
cons
1276
def
cons
nil
cons
cons
nil
cons
cons
134
ref
subst
proveHyp
169
ref
274
ref
1274
ref
68
ref
appTerm
betaConv
appThm
275
ref
10
ref
169
ref
1274
ref
24
ref
appTerm
betaConv
1277
def
appThm
1274
ref
152
ref
appTerm
betaConv
appThm
absThm
appThm
appThm
appThm
275
ref
10
ref
1277
remove
absThm
appThm
appThm
nil
278
ref
1274
remove
nil
cons
cons
nil
cons
nil
cons
cons
296
ref
subst
eqMp
eqMp
nil
76
ref
1276
remove
cons
77
ref
9
ref
6
ref
78
ref
9
ref
10
ref
1154
remove
563
ref
appTerm
1278
def
absTerm
1279
def
appTerm
1280
def
appTerm
9
ref
10
ref
1158
remove
570
ref
appTerm
1281
def
absTerm
1282
def
appTerm
1283
def
appTerm
1284
def
absTerm
1285
def
appTerm
1286
def
nil
cons
cons
nil
cons
cons
nil
cons
cons
143
ref
subst
proveHyp
nil
5
ref
1285
remove
nil
cons
cons
nil
cons
nil
cons
cons
56
ref
subst
6
ref
nil
57
ref
1284
remove
nil
cons
cons
nil
cons
nil
cons
cons
63
ref
subst
nil
76
ref
1280
ref
nil
cons
1287
def
cons
1288
def
77
ref
1283
remove
nil
cons
1289
def
cons
nil
cons
1290
def
cons
nil
cons
cons
1291
def
95
ref
subst
1291
remove
143
ref
subst
245
ref
220
remove
appThm
505
remove
326
ref
subst
150
ref
379
remove
subst
trans
appThm
nil
57
ref
208
remove
cons
nil
cons
nil
cons
cons
370
ref
subst
trans
sym
62
ref
eqMp
nil
76
ref
1170
remove
590
ref
appTerm
1292
def
nil
cons
cons
77
ref
9
ref
10
ref
78
ref
1281
ref
appTerm
1173
remove
593
ref
appTerm
1293
def
appTerm
1294
def
absTerm
1295
def
appTerm
1296
def
nil
cons
cons
nil
cons
cons
nil
cons
cons
143
ref
subst
proveHyp
nil
5
ref
1295
remove
nil
cons
cons
nil
cons
nil
cons
cons
56
ref
subst
10
ref
nil
57
ref
1294
remove
nil
cons
cons
nil
cons
nil
cons
cons
63
ref
subst
nil
76
ref
1281
remove
nil
cons
1297
def
cons
77
ref
1293
remove
nil
cons
1298
def
cons
nil
cons
cons
nil
cons
cons
1299
def
95
ref
subst
1299
remove
143
ref
subst
1181
remove
602
ref
appThm
nil
57
ref
1278
remove
nil
cons
cons
nil
cons
nil
cons
cons
63
ref
subst
1279
ref
24
ref
appTerm
1300
def
betaConv
1301
def
nil
1288
remove
77
ref
1300
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
134
ref
subst
1302
def
34
ref
5
ref
1279
remove
nil
cons
cons
160
ref
cons
nil
cons
cons
145
ref
subst
1303
def
eqMp
eqMp
eqMp
trans
sym
62
ref
eqMp
eqMp
nil
114
ref
1297
remove
cons
115
ref
1298
remove
cons
nil
cons
cons
nil
cons
cons
128
ref
subst
deductAntisym
eqMp
eqMp
absThm
eqMp
eqMp
nil
76
ref
84
ref
1292
remove
appTerm
1296
remove
appTerm
nil
cons
cons
1290
remove
cons
nil
cons
cons
134
ref
subst
proveHyp
169
ref
274
ref
1282
ref
68
ref
appTerm
betaConv
appThm
275
ref
10
ref
169
ref
1282
ref
24
ref
appTerm
betaConv
1304
def
appThm
1282
ref
152
ref
appTerm
betaConv
appThm
absThm
appThm
appThm
appThm
275
ref
10
ref
1304
remove
absThm
appThm
appThm
nil
278
ref
1282
remove
nil
cons
cons
nil
cons
nil
cons
cons
296
ref
subst
eqMp
eqMp
eqMp
nil
114
ref
1287
remove
cons
115
ref
1289
remove
cons
nil
cons
cons
nil
cons
cons
128
ref
subst
deductAntisym
eqMp
eqMp
absThm
eqMp
eqMp
nil
76
ref
84
ref
1275
remove
appTerm
1286
remove
appTerm
nil
cons
cons
77
ref
9
ref
6
ref
1280
remove
absTerm
1305
def
appTerm
1306
def
nil
cons
1307
def
cons
nil
cons
cons
nil
cons
cons
134
ref
subst
proveHyp
169
ref
274
ref
1305
ref
68
ref
appTerm
betaConv
appThm
275
ref
6
ref
169
ref
1305
ref
21
ref
appTerm
1308
def
betaConv
1309
def
appThm
1305
ref
22
ref
appTerm
betaConv
appThm
absThm
appThm
appThm
appThm
275
ref
6
ref
1309
ref
absThm
appThm
appThm
nil
278
ref
1305
remove
nil
cons
1310
def
cons
nil
cons
nil
cons
cons
296
ref
subst
eqMp
eqMp
1311
def
nil
1306
remove
thm
275
ref
6
ref
275
ref
10
ref
671
remove
668
ref
14
ref
235
ref
672
ref
appTerm
673
ref
appTerm
appTerm
235
ref
673
ref
appTerm
672
ref
appTerm
appTerm
absTerm
1312
def
673
ref
appTerm
1313
def
betaConv
670
ref
191
ref
1312
ref
appTerm
1314
def
absTerm
1315
def
672
ref
appTerm
1316
def
betaConv
nil
191
ref
1315
ref
appTerm
1317
def
axiom
nil
76
ref
1317
remove
nil
cons
cons
77
ref
1316
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
134
ref
subst
proveHyp
193
ref
194
ref
1315
remove
nil
cons
cons
680
ref
cons
nil
cons
cons
145
ref
subst
eqMp
eqMp
nil
76
ref
1314
remove
nil
cons
cons
77
ref
1313
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
134
ref
subst
proveHyp
193
ref
194
ref
1312
remove
nil
cons
cons
681
ref
cons
nil
cons
cons
145
ref
subst
eqMp
eqMp
1318
def
subst
absThm
appThm
absThm
appThm
sym
nil
5
ref
6
ref
9
ref
10
ref
235
ref
487
ref
appTerm
29
ref
appTerm
1319
def
absTerm
1320
def
appTerm
1321
def
absTerm
nil
cons
cons
nil
cons
nil
cons
cons
56
ref
subst
6
ref
nil
57
ref
1321
remove
nil
cons
cons
nil
cons
nil
cons
cons
63
ref
subst
nil
5
ref
1320
remove
nil
cons
cons
nil
cons
nil
cons
cons
56
ref
subst
10
ref
nil
57
ref
1319
remove
nil
cons
cons
nil
cons
nil
cons
cons
63
ref
subst
527
remove
1301
remove
1309
remove
1311
remove
nil
76
ref
1307
remove
cons
77
ref
1308
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
134
ref
subst
proveHyp
34
ref
5
ref
1310
remove
cons
137
ref
cons
nil
cons
cons
145
ref
subst
eqMp
eqMp
1302
remove
proveHyp
1303
remove
eqMp
eqMp
subst
eqMp
absThm
eqMp
eqMp
absThm
eqMp
eqMp
nil
9
ref
6
ref
9
ref
10
ref
1229
ref
487
ref
appTerm
absTerm
appTerm
absTerm
appTerm
thm
64
ref
345
ref
appThm
1190
remove
appThm
330
ref
57
ref
14
ref
14
ref
47
ref
appTerm
1322
def
59
ref
appTerm
appTerm
59
ref
appTerm
absTerm
1323
def
59
ref
appTerm
1324
def
betaConv
nil
191
ref
1323
ref
appTerm
1325
def
axiom
nil
76
ref
1325
remove
nil
cons
cons
77
ref
1324
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
134
ref
subst
proveHyp
193
ref
194
ref
1323
remove
nil
cons
cons
215
ref
cons
nil
cons
cons
145
ref
subst
eqMp
eqMp
1326
def
subst
1327
def
trans
sym
62
ref
eqMp
nil
76
ref
14
ref
348
ref
appTerm
1191
remove
appTerm
1328
def
nil
cons
cons
77
ref
9
ref
10
ref
78
ref
14
ref
351
ref
appTerm
1193
remove
454
remove
appTerm
appTerm
1329
def
appTerm
14
ref
352
ref
appTerm
1195
remove
361
ref
appTerm
appTerm
1330
def
appTerm
1331
def
absTerm
1332
def
appTerm
1333
def
nil
cons
cons
nil
cons
cons
nil
cons
cons
143
ref
subst
proveHyp
nil
5
ref
1332
remove
nil
cons
cons
nil
cons
nil
cons
cons
56
ref
subst
10
ref
nil
57
ref
1331
remove
nil
cons
cons
nil
cons
nil
cons
cons
63
ref
subst
nil
76
ref
1329
ref
nil
cons
1334
def
cons
77
ref
1330
remove
nil
cons
1335
def
cons
nil
cons
cons
nil
cons
cons
1336
def
95
ref
subst
1336
remove
143
ref
subst
64
ref
721
ref
appThm
245
ref
380
remove
appThm
361
remove
refl
appThm
366
remove
399
ref
subst
trans
appThm
1327
ref
trans
sym
62
ref
eqMp
eqMp
nil
114
ref
1334
remove
cons
115
ref
1335
remove
cons
nil
cons
cons
nil
cons
cons
128
ref
subst
deductAntisym
eqMp
eqMp
absThm
eqMp
eqMp
nil
76
ref
84
ref
1328
remove
appTerm
1333
remove
appTerm
nil
cons
cons
77
ref
9
ref
10
ref
1329
remove
absTerm
1337
def
appTerm
1338
def
nil
cons
1339
def
cons
nil
cons
cons
nil
cons
cons
134
ref
subst
proveHyp
169
ref
274
ref
1337
ref
68
ref
appTerm
betaConv
appThm
275
ref
10
ref
169
ref
1337
ref
24
ref
appTerm
betaConv
1340
def
appThm
1337
ref
152
ref
appTerm
betaConv
appThm
absThm
appThm
appThm
appThm
275
ref
10
ref
1340
remove
absThm
appThm
appThm
nil
278
ref
1337
remove
nil
cons
cons
nil
cons
nil
cons
cons
296
ref
subst
eqMp
eqMp
nil
76
ref
1339
remove
cons
77
ref
9
ref
6
ref
78
ref
9
ref
10
ref
14
ref
237
ref
appTerm
1229
remove
248
ref
appTerm
1341
def
appTerm
absTerm
1342
def
appTerm
1343
def
appTerm
9
ref
10
ref
26
remove
1233
remove
492
remove
appTerm
appTerm
1344
def
absTerm
1345
def
appTerm
1346
def
appTerm
1347
def
absTerm
1348
def
appTerm
1349
def
nil
cons
cons
nil
cons
cons
nil
cons
cons
143
ref
subst
proveHyp
nil
5
ref
1348
remove
nil
cons
cons
nil
cons
nil
cons
cons
56
ref
subst
6
ref
nil
57
ref
1347
remove
nil
cons
cons
nil
cons
nil
cons
cons
63
ref
subst
nil
76
ref
1343
ref
nil
cons
1350
def
cons
1351
def
77
ref
1346
remove
nil
cons
1352
def
cons
nil
cons
1353
def
cons
nil
cons
cons
1354
def
95
ref
subst
1354
remove
143
ref
subst
64
ref
147
remove
appThm
1245
remove
515
ref
refl
appThm
nil
57
ref
515
ref
nil
cons
1355
def
cons
nil
cons
nil
cons
cons
474
ref
subst
trans
appThm
nil
195
ref
1355
remove
cons
nil
cons
nil
cons
cons
273
ref
subst
trans
sym
62
ref
eqMp
nil
76
ref
222
remove
1249
remove
515
remove
appTerm
appTerm
1356
def
nil
cons
cons
77
ref
9
ref
10
ref
78
ref
1344
ref
appTerm
225
remove
1251
remove
247
remove
appTerm
appTerm
1357
def
appTerm
1358
def
absTerm
1359
def
appTerm
1360
def
nil
cons
cons
nil
cons
cons
nil
cons
cons
143
ref
subst
proveHyp
nil
5
ref
1359
remove
nil
cons
cons
nil
cons
nil
cons
cons
56
ref
subst
10
ref
nil
57
ref
1358
remove
nil
cons
cons
nil
cons
nil
cons
cons
63
ref
subst
nil
76
ref
1344
remove
nil
cons
1361
def
cons
77
ref
1357
remove
nil
cons
1362
def
cons
nil
cons
cons
nil
cons
cons
1363
def
95
ref
subst
1363
remove
143
ref
subst
64
ref
327
ref
1342
ref
24
ref
appTerm
1364
def
betaConv
1365
def
nil
1351
remove
77
ref
1364
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
134
ref
subst
1366
def
34
ref
5
ref
1342
remove
nil
cons
cons
160
ref
cons
nil
cons
cons
145
ref
subst
1367
def
eqMp
eqMp
trans
appThm
1259
remove
255
remove
appThm
appThm
nil
195
ref
1341
ref
nil
cons
1368
def
cons
nil
cons
nil
cons
cons
273
ref
subst
trans
sym
62
ref
eqMp
eqMp
nil
114
ref
1361
remove
cons
115
ref
1362
remove
cons
nil
cons
cons
nil
cons
cons
128
ref
subst
deductAntisym
eqMp
eqMp
absThm
eqMp
eqMp
nil
76
ref
84
ref
1356
remove
appTerm
1360
remove
appTerm
nil
cons
cons
1353
remove
cons
nil
cons
cons
134
ref
subst
proveHyp
169
ref
274
ref
1345
ref
68
ref
appTerm
betaConv
appThm
275
ref
10
ref
169
ref
1345
ref
24
ref
appTerm
betaConv
1369
def
appThm
1345
ref
152
ref
appTerm
betaConv
appThm
absThm
appThm
appThm
appThm
275
ref
10
ref
1369
remove
absThm
appThm
appThm
nil
278
ref
1345
remove
nil
cons
cons
nil
cons
nil
cons
cons
296
ref
subst
eqMp
eqMp
eqMp
nil
114
ref
1350
remove
cons
115
ref
1352
remove
cons
nil
cons
cons
nil
cons
cons
128
ref
subst
deductAntisym
eqMp
eqMp
absThm
eqMp
eqMp
nil
76
ref
84
ref
1338
remove
appTerm
1349
remove
appTerm
nil
cons
cons
77
ref
9
ref
6
ref
1343
remove
absTerm
1370
def
appTerm
1371
def
nil
cons
1372
def
cons
nil
cons
cons
nil
cons
cons
134
ref
subst
proveHyp
169
ref
274
ref
1370
ref
68
ref
appTerm
betaConv
appThm
275
ref
6
ref
169
ref
1370
ref
21
ref
appTerm
1373
def
betaConv
1374
def
appThm
1370
ref
22
ref
appTerm
betaConv
appThm
absThm
appThm
appThm
appThm
275
ref
6
ref
1374
ref
absThm
appThm
appThm
nil
278
ref
1370
remove
nil
cons
1375
def
cons
nil
cons
nil
cons
cons
296
ref
subst
eqMp
eqMp
1376
def
nil
1371
remove
thm
275
ref
6
ref
275
ref
10
ref
14
ref
29
ref
appTerm
1377
def
refl
274
ref
1365
remove
1374
remove
1376
remove
nil
76
ref
1372
remove
cons
77
ref
1373
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
134
ref
subst
proveHyp
34
ref
5
ref
1375
remove
cons
137
ref
cons
nil
cons
cons
145
ref
subst
eqMp
eqMp
1366
remove
proveHyp
1367
remove
eqMp
eqMp
1378
def
appThm
151
ref
248
ref
appTerm
1379
def
refl
1380
def
appThm
appThm
absThm
appThm
absThm
appThm
sym
nil
5
ref
6
ref
9
ref
10
ref
1377
ref
84
ref
1341
remove
appTerm
1379
ref
appTerm
1381
def
appTerm
1382
def
absTerm
1383
def
appTerm
1384
def
absTerm
nil
cons
cons
nil
cons
nil
cons
cons
56
ref
subst
6
ref
nil
57
ref
1384
remove
nil
cons
cons
nil
cons
nil
cons
cons
63
ref
subst
nil
5
ref
1383
remove
nil
cons
cons
nil
cons
nil
cons
cons
56
ref
subst
10
ref
nil
57
ref
1382
remove
nil
cons
cons
nil
cons
nil
cons
cons
63
ref
subst
nil
76
ref
337
ref
cons
1385
def
77
ref
1381
ref
nil
cons
1386
def
cons
nil
cons
cons
nil
cons
cons
1387
def
182
ref
subst
1387
ref
95
ref
subst
1387
remove
143
ref
subst
274
ref
245
ref
930
remove
63
ref
subst
29
ref
assume
1388
def
eqMp
appThm
248
ref
refl
1389
def
appThm
nil
57
ref
530
ref
cons
nil
cons
nil
cons
cons
399
ref
subst
trans
appThm
1380
ref
appThm
nil
57
ref
1379
ref
nil
cons
1390
def
cons
nil
cons
nil
cons
cons
613
ref
subst
trans
sym
nil
114
ref
530
ref
cons
1391
def
nil
cons
nil
cons
cons
184
remove
sym
1392
def
subst
nil
76
ref
530
ref
cons
1393
def
168
ref
cons
nil
cons
cons
1394
def
95
ref
subst
1395
def
1394
remove
143
ref
subst
1396
def
14
ref
"_1984"
1
ref
var
1397
def
27
ref
1397
remove
varTerm
appTerm
24
ref
appTerm
absTerm
1398
def
21
ref
appTerm
1399
def
appTerm
refl
1398
ref
24
ref
appTerm
betaConv
appThm
64
ref
1399
remove
betaConv
appThm
414
remove
refl
appThm
trans
1398
remove
refl
248
ref
assume
1400
def
appThm
eqMp
1401
def
1388
ref
eqMp
nil
76
ref
429
ref
cons
168
ref
cons
nil
cons
cons
134
ref
subst
proveHyp
nil
57
ref
429
remove
cons
nil
cons
nil
cons
cons
1402
def
57
ref
14
ref
726
remove
161
ref
appTerm
appTerm
211
ref
appTerm
absTerm
1403
def
59
ref
appTerm
1404
def
betaConv
nil
191
ref
1403
ref
appTerm
1405
def
axiom
nil
76
ref
1405
remove
nil
cons
cons
77
ref
1404
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
134
ref
subst
proveHyp
193
ref
194
ref
1403
remove
nil
cons
cons
215
ref
cons
nil
cons
cons
145
ref
subst
eqMp
eqMp
1406
def
subst
407
ref
435
remove
437
remove
nil
76
ref
433
remove
cons
77
ref
434
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
134
ref
subst
proveHyp
34
ref
5
ref
436
remove
cons
160
ref
cons
nil
cons
cons
145
ref
subst
eqMp
eqMp
428
remove
proveHyp
430
remove
eqMp
appThm
218
ref
trans
trans
sym
62
ref
eqMp
eqMp
eqMp
nil
1391
ref
115
ref
167
ref
cons
nil
cons
1407
def
cons
nil
cons
cons
128
ref
subst
1408
def
deductAntisym
eqMp
eqMp
eqMp
eqMp
nil
114
ref
337
ref
cons
1409
def
115
ref
1386
ref
cons
nil
cons
cons
nil
cons
cons
128
ref
subst
deductAntisym
eqMp
nil
76
ref
78
ref
29
ref
appTerm
1410
def
1381
ref
appTerm
nil
cons
cons
77
ref
78
ref
1381
remove
appTerm
29
ref
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
143
ref
subst
proveHyp
nil
76
ref
1386
ref
cons
77
ref
337
ref
cons
nil
cons
1411
def
cons
nil
cons
cons
1412
def
95
ref
subst
1412
remove
143
ref
subst
nil
114
ref
1368
remove
cons
115
ref
1390
ref
cons
nil
cons
1413
def
cons
nil
cons
cons
1414
def
128
ref
subst
1414
remove
181
ref
subst
nil
1393
ref
1411
ref
cons
nil
cons
cons
1415
def
95
ref
subst
1415
ref
143
ref
subst
nil
76
ref
1390
ref
cons
1411
ref
cons
nil
cons
cons
134
ref
subst
169
ref
407
ref
70
ref
refl
1416
def
1400
ref
appThm
24
ref
refl
1417
def
appThm
nil
160
ref
nil
cons
cons
343
ref
subst
trans
appThm
nil
14
ref
151
ref
47
ref
appTerm
1418
def
appTerm
161
ref
appTerm
axiom
1419
def
trans
appThm
1401
remove
appThm
1402
remove
799
ref
subst
trans
sym
62
ref
eqMp
eqMp
eqMp
nil
1391
ref
115
ref
337
ref
cons
1420
def
nil
cons
1421
def
cons
nil
cons
cons
128
ref
subst
deductAntisym
eqMp
nil
1385
ref
1411
remove
cons
nil
cons
cons
1422
def
95
ref
subst
1422
remove
143
ref
subst
1388
remove
eqMp
nil
1409
ref
1421
ref
cons
nil
cons
cons
128
ref
subst
deductAntisym
eqMp
nil
1409
ref
115
ref
530
ref
cons
"R"
2
ref
var
1423
def
337
remove
cons
nil
cons
cons
cons
nil
cons
cons
nil
76
ref
78
ref
119
ref
appTerm
1424
def
1423
ref
varTerm
1425
def
appTerm
1426
def
nil
cons
cons
77
ref
1425
ref
nil
cons
1427
def
cons
nil
cons
cons
nil
cons
cons
134
ref
subst
nil
76
ref
185
ref
1425
ref
appTerm
nil
cons
cons
77
ref
78
ref
1426
remove
appTerm
1425
ref
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
134
ref
subst
"r"
2
ref
var
1428
def
78
ref
185
remove
1428
ref
varTerm
1429
def
appTerm
appTerm
1430
def
78
ref
1424
remove
1429
ref
appTerm
appTerm
1429
ref
appTerm
appTerm
absTerm
1431
def
1425
remove
appTerm
1432
def
betaConv
14
ref
235
ref
117
ref
appTerm
1433
def
119
ref
appTerm
1434
def
appTerm
refl
77
ref
191
ref
1428
ref
1430
remove
78
ref
178
remove
1429
ref
appTerm
appTerm
1429
ref
appTerm
1435
def
appTerm
absTerm
appTerm
absTerm
119
ref
appTerm
betaConv
appThm
103
remove
1433
remove
appTerm
refl
76
ref
77
ref
191
ref
1428
remove
78
ref
80
remove
1429
remove
appTerm
appTerm
1435
remove
appTerm
absTerm
appTerm
absTerm
absTerm
1436
def
117
remove
appTerm
betaConv
appThm
nil
92
remove
235
ref
appTerm
1436
remove
appTerm
axiom
126
remove
appThm
eqMp
122
remove
appThm
eqMp
1434
remove
assume
eqMp
nil
76
ref
191
ref
1431
ref
appTerm
nil
cons
cons
77
ref
1432
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
134
ref
subst
proveHyp
193
ref
194
ref
1431
remove
nil
cons
cons
195
ref
1427
remove
cons
nil
cons
cons
nil
cons
cons
145
ref
subst
eqMp
eqMp
eqMp
eqMp
1437
def
subst
proveHyp
proveHyp
proveHyp
proveHyp
eqMp
nil
114
ref
1386
remove
cons
1421
remove
cons
nil
cons
cons
128
ref
subst
deductAntisym
eqMp
eqMp
eqMp
eqMp
absThm
eqMp
eqMp
absThm
eqMp
eqMp
1438
def
nil
9
ref
6
ref
9
ref
10
ref
1377
remove
486
remove
1379
ref
appTerm
1439
def
appTerm
absTerm
1440
def
appTerm
1441
def
absTerm
1442
def
appTerm
1443
def
thm
64
ref
407
ref
345
ref
appThm
1419
ref
trans
appThm
408
ref
appThm
219
ref
trans
sym
62
ref
eqMp
nil
76
ref
14
ref
151
ref
348
ref
appTerm
appTerm
411
ref
appTerm
1444
def
nil
cons
cons
77
ref
9
ref
10
ref
78
ref
14
ref
151
ref
351
remove
appTerm
appTerm
542
remove
appTerm
1445
def
appTerm
14
ref
151
ref
352
remove
appTerm
appTerm
545
remove
appTerm
1446
def
appTerm
1447
def
absTerm
1448
def
appTerm
1449
def
nil
cons
cons
nil
cons
cons
nil
cons
cons
143
ref
subst
proveHyp
nil
5
ref
1448
remove
nil
cons
cons
nil
cons
nil
cons
cons
56
ref
subst
10
ref
nil
57
ref
1447
remove
nil
cons
cons
nil
cons
nil
cons
cons
63
ref
subst
nil
76
ref
1445
ref
nil
cons
1450
def
cons
77
ref
1446
remove
nil
cons
1451
def
cons
nil
cons
cons
nil
cons
cons
1452
def
95
ref
subst
1452
remove
143
ref
subst
64
ref
407
ref
721
remove
appThm
1419
ref
trans
appThm
555
remove
appThm
219
ref
trans
sym
62
ref
eqMp
eqMp
nil
114
ref
1450
remove
cons
115
ref
1451
remove
cons
nil
cons
cons
nil
cons
cons
128
ref
subst
deductAntisym
eqMp
eqMp
absThm
eqMp
eqMp
nil
76
ref
84
ref
1444
remove
appTerm
1449
remove
appTerm
nil
cons
cons
77
ref
9
ref
10
ref
1445
remove
absTerm
1453
def
appTerm
1454
def
nil
cons
1455
def
cons
nil
cons
cons
nil
cons
cons
134
ref
subst
proveHyp
169
ref
274
ref
1453
ref
68
ref
appTerm
betaConv
appThm
275
ref
10
ref
169
ref
1453
ref
24
ref
appTerm
betaConv
1456
def
appThm
1453
ref
152
ref
appTerm
betaConv
appThm
absThm
appThm
appThm
appThm
275
ref
10
ref
1456
remove
absThm
appThm
appThm
nil
278
ref
1453
remove
nil
cons
cons
nil
cons
nil
cons
cons
296
ref
subst
eqMp
eqMp
nil
76
ref
1455
remove
cons
77
ref
9
ref
6
ref
78
ref
9
ref
10
ref
14
ref
151
ref
237
ref
appTerm
1457
def
appTerm
563
ref
appTerm
1458
def
absTerm
1459
def
appTerm
1460
def
appTerm
9
ref
10
ref
14
ref
151
ref
25
remove
appTerm
appTerm
570
remove
appTerm
1461
def
absTerm
1462
def
appTerm
1463
def
appTerm
1464
def
absTerm
1465
def
appTerm
1466
def
nil
cons
cons
nil
cons
cons
nil
cons
cons
143
ref
subst
proveHyp
nil
5
ref
1465
remove
nil
cons
cons
nil
cons
nil
cons
cons
56
ref
subst
6
ref
nil
57
ref
1464
remove
nil
cons
cons
nil
cons
nil
cons
cons
63
ref
subst
nil
76
ref
1460
ref
nil
cons
1467
def
cons
1468
def
77
ref
1463
remove
nil
cons
1469
def
cons
nil
cons
1470
def
cons
nil
cons
cons
1471
def
95
ref
subst
1471
remove
143
ref
subst
64
ref
407
ref
199
remove
appThm
218
ref
trans
appThm
584
remove
appThm
586
remove
1326
ref
subst
trans
sym
1248
remove
eqMp
nil
76
ref
14
ref
151
ref
221
remove
appTerm
appTerm
590
remove
appTerm
1472
def
nil
cons
cons
77
ref
9
ref
10
ref
78
ref
1461
ref
appTerm
14
ref
151
ref
224
remove
appTerm
appTerm
593
remove
appTerm
1473
def
appTerm
1474
def
absTerm
1475
def
appTerm
1476
def
nil
cons
cons
nil
cons
cons
nil
cons
cons
143
ref
subst
proveHyp
nil
5
ref
1475
remove
nil
cons
cons
nil
cons
nil
cons
cons
56
ref
subst
10
ref
nil
57
ref
1474
remove
nil
cons
cons
nil
cons
nil
cons
cons
63
ref
subst
nil
76
ref
1461
remove
nil
cons
1477
def
cons
77
ref
1473
remove
nil
cons
1478
def
cons
nil
cons
cons
nil
cons
cons
1479
def
95
ref
subst
1479
remove
143
ref
subst
64
ref
407
ref
327
remove
appThm
1459
ref
24
ref
appTerm
1480
def
betaConv
nil
1468
remove
77
ref
1480
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
134
ref
subst
34
ref
5
ref
1459
remove
nil
cons
cons
160
ref
cons
nil
cons
cons
145
ref
subst
eqMp
eqMp
trans
appThm
602
remove
appThm
nil
195
ref
563
ref
nil
cons
cons
nil
cons
nil
cons
cons
273
ref
subst
trans
sym
62
ref
eqMp
eqMp
nil
114
ref
1477
remove
cons
115
ref
1478
remove
cons
nil
cons
cons
nil
cons
cons
128
ref
subst
deductAntisym
eqMp
eqMp
absThm
eqMp
eqMp
nil
76
ref
84
ref
1472
remove
appTerm
1476
remove
appTerm
nil
cons
cons
1470
remove
cons
nil
cons
cons
134
ref
subst
proveHyp
169
ref
274
ref
1462
ref
68
ref
appTerm
betaConv
appThm
275
ref
10
ref
169
ref
1462
ref
24
ref
appTerm
betaConv
1481
def
appThm
1462
ref
152
ref
appTerm
betaConv
appThm
absThm
appThm
appThm
appThm
275
ref
10
ref
1481
remove
absThm
appThm
appThm
nil
278
ref
1462
remove
nil
cons
cons
nil
cons
nil
cons
cons
296
ref
subst
eqMp
eqMp
eqMp
nil
114
ref
1467
remove
cons
115
ref
1469
remove
cons
nil
cons
cons
nil
cons
cons
128
ref
subst
deductAntisym
eqMp
eqMp
absThm
eqMp
eqMp
nil
76
ref
84
ref
1454
remove
appTerm
1466
remove
appTerm
nil
cons
cons
77
ref
9
ref
6
ref
1460
remove
absTerm
1482
def
appTerm
1483
def
nil
cons
cons
nil
cons
cons
nil
cons
cons
134
ref
subst
proveHyp
169
ref
274
ref
1482
ref
68
ref
appTerm
betaConv
appThm
275
ref
6
ref
169
ref
1482
ref
21
ref
appTerm
betaConv
1484
def
appThm
1482
ref
22
ref
appTerm
betaConv
appThm
absThm
appThm
appThm
appThm
275
ref
6
ref
1484
remove
absThm
appThm
appThm
nil
278
ref
1482
remove
nil
cons
cons
nil
cons
nil
cons
cons
296
ref
subst
eqMp
eqMp
1485
def
nil
1483
remove
thm
64
ref
409
remove
appThm
345
remove
appThm
1327
ref
trans
sym
62
ref
eqMp
nil
76
ref
14
ref
412
remove
appTerm
348
remove
appTerm
1486
def
nil
cons
cons
77
ref
9
ref
10
ref
78
ref
14
ref
151
ref
540
ref
appTerm
appTerm
453
ref
appTerm
1487
def
appTerm
14
ref
151
ref
382
ref
appTerm
appTerm
457
remove
appTerm
1488
def
appTerm
1489
def
absTerm
1490
def
appTerm
1491
def
nil
cons
cons
nil
cons
cons
nil
cons
cons
143
ref
subst
proveHyp
nil
5
ref
1490
remove
nil
cons
cons
nil
cons
nil
cons
cons
56
ref
subst
10
ref
nil
57
ref
1489
remove
nil
cons
cons
nil
cons
nil
cons
cons
63
ref
subst
nil
76
ref
1487
ref
nil
cons
1492
def
cons
77
ref
1488
remove
nil
cons
1493
def
cons
nil
cons
cons
nil
cons
cons
1494
def
95
ref
subst
1494
remove
143
ref
subst
64
ref
407
ref
554
ref
appThm
appThm
476
remove
appThm
nil
57
ref
151
ref
556
remove
appTerm
nil
cons
cons
nil
cons
nil
cons
cons
57
ref
14
ref
60
remove
161
ref
appTerm
1495
def
appTerm
211
ref
appTerm
absTerm
1496
def
59
ref
appTerm
1497
def
betaConv
nil
191
ref
1496
ref
appTerm
1498
def
axiom
nil
76
ref
1498
remove
nil
cons
cons
77
ref
1497
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
134
ref
subst
proveHyp
193
ref
194
ref
1496
remove
nil
cons
cons
215
ref
cons
nil
cons
cons
145
ref
subst
eqMp
eqMp
subst
557
remove
57
ref
14
ref
151
ref
211
ref
appTerm
appTerm
59
ref
appTerm
absTerm
1499
def
59
remove
appTerm
1500
def
betaConv
nil
191
ref
1499
ref
appTerm
1501
def
axiom
nil
76
ref
1501
remove
nil
cons
cons
77
ref
1500
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
134
ref
subst
proveHyp
193
ref
194
ref
1499
remove
nil
cons
cons
215
remove
cons
nil
cons
cons
145
ref
subst
eqMp
eqMp
1502
def
subst
trans
trans
sym
1224
remove
eqMp
eqMp
nil
114
ref
1492
remove
cons
115
ref
1493
remove
cons
nil
cons
cons
nil
cons
cons
128
ref
subst
deductAntisym
eqMp
eqMp
absThm
eqMp
eqMp
nil
76
ref
84
ref
1486
remove
appTerm
1491
remove
appTerm
nil
cons
cons
77
ref
9
ref
10
ref
1487
remove
absTerm
1503
def
appTerm
1504
def
nil
cons
1505
def
cons
nil
cons
cons
nil
cons
cons
134
ref
subst
proveHyp
169
ref
274
ref
1503
ref
68
ref
appTerm
betaConv
appThm
275
ref
10
ref
169
ref
1503
ref
24
ref
appTerm
betaConv
1506
def
appThm
1503
ref
152
ref
appTerm
betaConv
appThm
absThm
appThm
appThm
appThm
275
ref
10
ref
1506
remove
absThm
appThm
appThm
nil
278
ref
1503
remove
nil
cons
cons
nil
cons
nil
cons
cons
296
ref
subst
eqMp
eqMp
nil
76
ref
1505
remove
cons
77
ref
9
ref
6
ref
78
ref
9
ref
10
ref
14
ref
151
ref
29
remove
appTerm
1507
def
appTerm
487
ref
appTerm
absTerm
1508
def
appTerm
1509
def
appTerm
9
ref
10
ref
14
ref
151
ref
568
remove
appTerm
appTerm
491
ref
appTerm
1510
def
absTerm
1511
def
appTerm
1512
def
appTerm
1513
def
absTerm
1514
def
appTerm
1515
def
nil
cons
cons
nil
cons
cons
nil
cons
cons
143
ref
subst
proveHyp
nil
5
ref
1514
remove
nil
cons
cons
nil
cons
nil
cons
cons
56
ref
subst
6
ref
nil
57
ref
1513
remove
nil
cons
cons
nil
cons
nil
cons
cons
63
ref
subst
nil
76
ref
1509
ref
nil
cons
1516
def
cons
1517
def
77
ref
1512
remove
nil
cons
1518
def
cons
nil
cons
1519
def
cons
nil
cons
cons
1520
def
95
ref
subst
1520
remove
143
ref
subst
64
ref
407
ref
582
remove
appThm
218
ref
trans
appThm
1171
remove
appThm
1327
ref
trans
sym
62
ref
eqMp
nil
76
ref
14
ref
151
ref
588
remove
appTerm
appTerm
514
remove
appTerm
1521
def
nil
cons
cons
77
ref
9
ref
10
ref
78
ref
1510
ref
appTerm
14
ref
151
ref
339
remove
appTerm
appTerm
518
remove
appTerm
1522
def
appTerm
1523
def
absTerm
1524
def
appTerm
1525
def
nil
cons
cons
nil
cons
cons
nil
cons
cons
143
ref
subst
proveHyp
nil
5
ref
1524
remove
nil
cons
cons
nil
cons
nil
cons
cons
56
ref
subst
10
ref
nil
57
ref
1523
remove
nil
cons
cons
nil
cons
nil
cons
cons
63
ref
subst
nil
76
ref
1510
remove
nil
cons
1526
def
cons
77
ref
1522
remove
nil
cons
1527
def
cons
nil
cons
cons
nil
cons
cons
1528
def
95
ref
subst
1528
remove
143
ref
subst
64
ref
407
ref
335
remove
appThm
1508
ref
24
ref
appTerm
1529
def
betaConv
nil
1517
remove
77
ref
1529
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
134
ref
subst
34
ref
5
ref
1508
remove
nil
cons
cons
160
ref
cons
nil
cons
cons
145
ref
subst
eqMp
eqMp
trans
appThm
528
remove
appThm
nil
195
ref
669
ref
cons
nil
cons
nil
cons
cons
273
ref
subst
trans
sym
62
ref
eqMp
eqMp
nil
114
ref
1526
remove
cons
115
ref
1527
remove
cons
nil
cons
cons
nil
cons
cons
128
ref
subst
deductAntisym
eqMp
eqMp
absThm
eqMp
eqMp
nil
76
ref
84
ref
1521
remove
appTerm
1525
remove
appTerm
nil
cons
cons
1519
remove
cons
nil
cons
cons
134
ref
subst
proveHyp
169
ref
274
ref
1511
ref
68
ref
appTerm
betaConv
appThm
275
ref
10
ref
169
ref
1511
ref
24
ref
appTerm
betaConv
1530
def
appThm
1511
ref
152
ref
appTerm
betaConv
appThm
absThm
appThm
appThm
appThm
275
ref
10
ref
1530
remove
absThm
appThm
appThm
nil
278
ref
1511
remove
nil
cons
cons
nil
cons
nil
cons
cons
296
ref
subst
eqMp
eqMp
eqMp
nil
114
ref
1516
remove
cons
115
ref
1518
remove
cons
nil
cons
cons
nil
cons
cons
128
ref
subst
deductAntisym
eqMp
eqMp
absThm
eqMp
eqMp
nil
76
ref
84
ref
1504
remove
appTerm
1515
remove
appTerm
nil
cons
cons
77
ref
9
ref
6
ref
1509
remove
absTerm
1531
def
appTerm
1532
def
nil
cons
cons
nil
cons
cons
nil
cons
cons
134
ref
subst
proveHyp
169
ref
274
ref
1531
ref
68
ref
appTerm
betaConv
appThm
275
ref
6
ref
169
ref
1531
ref
21
ref
appTerm
betaConv
1533
def
appThm
1531
ref
22
ref
appTerm
betaConv
appThm
absThm
appThm
appThm
appThm
275
ref
6
ref
1533
remove
absThm
appThm
appThm
nil
278
ref
1531
remove
nil
cons
cons
nil
cons
nil
cons
cons
296
ref
subst
eqMp
eqMp
nil
1532
remove
thm
275
ref
6
ref
275
ref
10
ref
169
ref
1440
ref
24
ref
appTerm
1534
def
betaConv
1442
ref
21
ref
appTerm
1535
def
betaConv
1438
remove
nil
76
ref
1443
remove
nil
cons
cons
77
ref
1535
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
134
ref
subst
proveHyp
34
ref
5
ref
1442
remove
nil
cons
cons
137
ref
cons
nil
cons
cons
145
ref
subst
eqMp
eqMp
nil
76
ref
1441
remove
nil
cons
cons
77
ref
1534
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
134
ref
subst
proveHyp
34
ref
5
ref
1440
remove
nil
cons
cons
160
ref
cons
nil
cons
cons
145
ref
subst
eqMp
eqMp
appThm
328
remove
appThm
absThm
appThm
absThm
appThm
sym
nil
5
ref
6
ref
9
ref
10
ref
78
ref
1439
ref
appTerm
237
ref
appTerm
1536
def
absTerm
1537
def
appTerm
1538
def
absTerm
nil
cons
cons
nil
cons
nil
cons
cons
56
ref
subst
6
ref
nil
57
ref
1538
remove
nil
cons
cons
nil
cons
nil
cons
cons
63
ref
subst
nil
5
ref
1537
remove
nil
cons
cons
nil
cons
nil
cons
cons
56
ref
subst
10
ref
nil
57
ref
1536
remove
nil
cons
cons
nil
cons
nil
cons
cons
63
ref
subst
nil
76
ref
1439
remove
nil
cons
1539
def
cons
77
ref
329
ref
cons
nil
cons
1540
def
cons
nil
cons
cons
1541
def
95
ref
subst
1541
remove
143
ref
subst
nil
114
ref
329
ref
cons
1413
remove
cons
nil
cons
cons
128
ref
subst
eqMp
nil
114
ref
1539
remove
cons
115
ref
329
remove
cons
nil
cons
1542
def
cons
nil
cons
cons
128
ref
subst
deductAntisym
eqMp
eqMp
absThm
eqMp
eqMp
absThm
eqMp
eqMp
nil
9
ref
6
ref
9
ref
10
ref
1410
ref
237
ref
appTerm
absTerm
appTerm
absTerm
appTerm
thm
nil
5
ref
6
ref
9
ref
10
ref
78
ref
248
remove
appTerm
237
remove
appTerm
1543
def
absTerm
1544
def
appTerm
1545
def
absTerm
1546
def
nil
cons
cons
nil
cons
nil
cons
cons
56
ref
subst
6
ref
nil
57
ref
1545
remove
nil
cons
cons
nil
cons
nil
cons
cons
63
ref
subst
nil
5
ref
1544
remove
nil
cons
cons
nil
cons
nil
cons
cons
56
ref
subst
10
ref
nil
57
ref
1543
remove
nil
cons
cons
nil
cons
nil
cons
cons
63
ref
subst
nil
1393
ref
1540
remove
cons
nil
cons
cons
1547
def
95
ref
subst
1547
remove
143
ref
subst
17
ref
refl
1548
def
1400
ref
appThm
1417
ref
appThm
nil
57
ref
390
remove
cons
nil
cons
nil
cons
cons
63
ref
subst
404
remove
406
remove
nil
76
ref
402
remove
cons
77
ref
403
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
134
ref
subst
proveHyp
34
ref
5
ref
405
remove
cons
160
ref
cons
nil
cons
cons
145
ref
subst
eqMp
eqMp
1549
def
eqMp
1550
def
trans
sym
62
ref
eqMp
eqMp
nil
1391
ref
1542
remove
cons
nil
cons
cons
128
ref
subst
deductAntisym
eqMp
eqMp
absThm
eqMp
eqMp
absThm
eqMp
nil
9
ref
1546
remove
appTerm
thm
nil
5
ref
6
ref
9
ref
10
ref
1410
ref
1379
ref
appTerm
1551
def
absTerm
1552
def
appTerm
1553
def
absTerm
1554
def
nil
cons
cons
nil
cons
nil
cons
cons
56
ref
subst
6
ref
nil
57
ref
1553
remove
nil
cons
cons
nil
cons
nil
cons
cons
63
ref
subst
nil
5
ref
1552
remove
nil
cons
cons
nil
cons
nil
cons
cons
56
ref
subst
10
ref
nil
57
ref
1551
remove
nil
cons
cons
nil
cons
nil
cons
cons
63
ref
subst
169
ref
nil
425
remove
149
remove
cons
nil
cons
cons
10
ref
14
ref
563
remove
appTerm
1457
remove
appTerm
1555
def
absTerm
1556
def
24
ref
appTerm
1557
def
betaConv
6
ref
9
ref
1556
ref
appTerm
1558
def
absTerm
1559
def
21
ref
appTerm
1560
def
betaConv
275
ref
6
ref
275
ref
10
ref
1555
remove
assume
sym
1458
remove
assume
sym
deductAntisym
absThm
appThm
absThm
appThm
1485
remove
eqMp
nil
76
ref
9
ref
1559
ref
appTerm
nil
cons
cons
77
ref
1560
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
134
ref
subst
proveHyp
34
ref
5
ref
1559
remove
nil
cons
cons
137
ref
cons
nil
cons
cons
145
ref
subst
eqMp
eqMp
nil
76
ref
1558
remove
nil
cons
cons
77
ref
1557
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
134
ref
subst
proveHyp
34
ref
5
ref
1556
remove
nil
cons
cons
160
ref
cons
nil
cons
cons
145
ref
subst
eqMp
eqMp
subst
appThm
1380
remove
appThm
nil
668
ref
530
remove
cons
670
ref
669
ref
cons
nil
cons
cons
nil
cons
cons
668
ref
14
ref
78
ref
151
ref
672
ref
appTerm
appTerm
151
ref
673
ref
appTerm
appTerm
appTerm
78
ref
673
ref
appTerm
672
ref
appTerm
appTerm
absTerm
1561
def
673
remove
appTerm
1562
def
betaConv
670
ref
191
ref
1561
ref
appTerm
1563
def
absTerm
1564
def
672
remove
appTerm
1565
def
betaConv
nil
191
ref
1564
ref
appTerm
1566
def
axiom
nil
76
ref
1566
remove
nil
cons
cons
77
ref
1565
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
134
ref
subst
proveHyp
193
ref
194
ref
1564
remove
nil
cons
cons
680
remove
cons
nil
cons
cons
145
ref
subst
eqMp
eqMp
nil
76
ref
1563
remove
nil
cons
cons
77
ref
1562
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
134
ref
subst
proveHyp
193
ref
194
ref
1561
remove
nil
cons
cons
681
remove
cons
nil
cons
cons
145
ref
subst
eqMp
eqMp
subst
trans
sym
nil
1393
remove
77
ref
669
ref
cons
nil
cons
cons
nil
cons
cons
1567
def
95
ref
subst
1567
remove
143
ref
subst
14
ref
"_1986"
1
ref
var
1568
def
383
ref
1568
remove
varTerm
appTerm
absTerm
1569
def
21
ref
appTerm
1570
def
appTerm
refl
1569
ref
24
ref
appTerm
betaConv
appThm
64
ref
1570
remove
betaConv
appThm
384
remove
refl
appThm
trans
1569
remove
refl
1400
ref
appThm
eqMp
sym
1549
remove
eqMp
eqMp
nil
1391
ref
115
ref
669
remove
cons
nil
cons
cons
nil
cons
cons
128
ref
subst
deductAntisym
eqMp
eqMp
eqMp
absThm
eqMp
eqMp
absThm
eqMp
nil
9
ref
1554
remove
appTerm
thm
275
ref
10
ref
427
ref
326
remove
subst
1550
remove
trans
1571
def
absThm
appThm
334
ref
trans
sym
62
ref
eqMp
nil
9
ref
10
ref
413
remove
152
ref
appTerm
absTerm
appTerm
thm
275
ref
10
ref
nil
319
remove
426
remove
cons
nil
cons
cons
1378
remove
subst
245
ref
1571
remove
appThm
70
ref
24
ref
appTerm
1572
def
152
ref
appTerm
1573
def
refl
appThm
nil
57
ref
1573
remove
nil
cons
cons
nil
cons
nil
cons
cons
399
ref
subst
trans
trans
absThm
appThm
334
ref
trans
sym
62
ref
eqMp
nil
9
ref
10
ref
383
ref
152
ref
appTerm
absTerm
appTerm
thm
64
ref
408
remove
appThm
407
ref
344
remove
appThm
1419
ref
trans
appThm
219
ref
trans
sym
62
ref
eqMp
nil
76
ref
14
ref
411
remove
appTerm
151
ref
450
remove
appTerm
appTerm
1574
def
nil
cons
cons
77
ref
9
ref
10
ref
78
ref
14
ref
540
remove
appTerm
151
ref
1572
remove
68
ref
appTerm
1575
def
appTerm
1576
def
appTerm
1577
def
appTerm
14
ref
382
remove
appTerm
154
remove
appTerm
1578
def
appTerm
1579
def
absTerm
1580
def
appTerm
1581
def
nil
cons
cons
nil
cons
cons
nil
cons
cons
143
ref
subst
proveHyp
nil
5
ref
1580
remove
nil
cons
cons
nil
cons
nil
cons
cons
56
ref
subst
10
ref
nil
57
ref
1579
remove
nil
cons
cons
nil
cons
nil
cons
cons
63
ref
subst
nil
76
ref
1577
ref
nil
cons
1582
def
cons
77
ref
1578
remove
nil
cons
1583
def
cons
nil
cons
cons
nil
cons
cons
1584
def
95
ref
subst
1584
remove
143
ref
subst
64
ref
554
remove
245
ref
nil
"y"
1
ref
var
159
ref
cons
342
remove
cons
nil
cons
cons
36
ref
"y"
37
ref
var
1585
def
14
ref
271
remove
1585
remove
varTerm
1586
def
appTerm
appTerm
270
remove
1586
ref
appTerm
139
ref
appTerm
appTerm
absTerm
1587
def
1586
ref
appTerm
1588
def
betaConv
46
ref
40
ref
1587
ref
appTerm
1589
def
absTerm
1590
def
139
ref
appTerm
1591
def
betaConv
nil
40
ref
1590
ref
appTerm
1592
def
axiom
nil
76
ref
1592
remove
nil
cons
cons
77
ref
1591
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
134
ref
subst
proveHyp
"A"
37
ref
nil
cons
cons
1593
def
nil
cons
1594
def
41
ref
1590
remove
nil
cons
cons
46
ref
139
ref
nil
cons
cons
nil
cons
1595
def
cons
nil
cons
cons
145
ref
subst
eqMp
eqMp
nil
76
ref
1589
remove
nil
cons
cons
77
ref
1588
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
134
ref
subst
proveHyp
1594
ref
41
ref
1587
remove
nil
cons
cons
46
ref
1586
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
145
ref
subst
eqMp
eqMp
subst
subst
appThm
1577
ref
assume
appThm
trans
appThm
407
ref
197
remove
appThm
218
ref
trans
appThm
nil
57
ref
235
ref
1575
ref
appTerm
1576
remove
appTerm
nil
cons
1596
def
cons
nil
cons
nil
cons
cons
448
remove
subst
trans
sym
nil
76
ref
14
ref
1575
ref
appTerm
1597
def
161
ref
appTerm
1598
def
nil
cons
1599
def
cons
77
ref
1596
ref
cons
nil
cons
1600
def
cons
nil
cons
cons
1601
def
95
ref
subst
1601
remove
143
ref
subst
14
ref
"_1990"
2
ref
var
1602
def
235
ref
1602
remove
varTerm
1603
def
appTerm
151
ref
1603
remove
appTerm
appTerm
absTerm
1604
def
1575
ref
appTerm
1605
def
appTerm
refl
1606
def
1604
ref
161
ref
appTerm
betaConv
appThm
64
ref
1605
remove
betaConv
appThm
1607
def
470
ref
217
ref
appTerm
refl
appThm
trans
1604
remove
refl
1608
def
1598
remove
assume
appThm
eqMp
sym
nil
57
ref
217
ref
nil
cons
cons
nil
cons
nil
cons
cons
1609
def
474
ref
subst
218
ref
trans
sym
62
ref
eqMp
eqMp
eqMp
nil
114
ref
1599
ref
cons
115
ref
1596
ref
cons
nil
cons
1610
def
cons
nil
cons
cons
128
ref
subst
deductAntisym
eqMp
nil
76
ref
1597
remove
47
ref
appTerm
1611
def
nil
cons
1612
def
cons
1600
remove
cons
nil
cons
cons
1613
def
95
ref
subst
1613
remove
143
ref
subst
1606
remove
"_1988"
2
ref
var
1614
def
235
ref
1614
remove
varTerm
1615
def
appTerm
151
ref
1615
remove
appTerm
appTerm
absTerm
47
ref
appTerm
betaConv
appThm
1607
remove
395
ref
1418
ref
appTerm
refl
appThm
trans
1608
remove
1611
remove
assume
appThm
eqMp
sym
nil
57
ref
1418
ref
nil
cons
cons
nil
cons
nil
cons
cons
1616
def
399
ref
subst
sym
62
ref
eqMp
eqMp
eqMp
nil
114
ref
1612
remove
cons
1617
def
1610
remove
cons
nil
cons
cons
128
ref
subst
deductAntisym
eqMp
57
ref
235
ref
61
remove
appTerm
1495
remove
appTerm
absTerm
1618
def
1575
ref
appTerm
1619
def
betaConv
nil
191
ref
1618
ref
appTerm
1620
def
axiom
1621
def
nil
76
ref
1620
remove
nil
cons
cons
1622
def
77
ref
1619
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
134
ref
subst
proveHyp
193
ref
194
ref
1618
ref
nil
cons
cons
1623
def
195
ref
1575
ref
nil
cons
cons
nil
cons
cons
nil
cons
cons
145
ref
subst
eqMp
eqMp
nil
1617
remove
115
ref
1599
remove
cons
1423
ref
1596
remove
cons
nil
cons
cons
cons
nil
cons
cons
1437
ref
subst
proveHyp
proveHyp
proveHyp
eqMp
eqMp
nil
114
ref
1582
remove
cons
115
ref
1583
remove
cons
nil
cons
cons
nil
cons
cons
128
ref
subst
deductAntisym
eqMp
eqMp
absThm
eqMp
eqMp
nil
76
ref
84
ref
1574
remove
appTerm
1581
remove
appTerm
nil
cons
cons
77
ref
9
ref
10
ref
1577
remove
absTerm
1624
def
appTerm
1625
def
nil
cons
cons
nil
cons
cons
nil
cons
cons
134
ref
subst
proveHyp
169
ref
274
ref
1624
ref
68
ref
appTerm
betaConv
appThm
275
ref
10
ref
169
ref
1624
ref
24
ref
appTerm
betaConv
1626
def
appThm
1624
ref
152
ref
appTerm
betaConv
appThm
absThm
appThm
appThm
appThm
275
ref
10
ref
1626
remove
absThm
appThm
appThm
nil
278
ref
1624
remove
nil
cons
cons
nil
cons
nil
cons
cons
296
ref
subst
eqMp
eqMp
nil
1625
remove
thm
nil
293
ref
278
ref
78
ref
9
ref
10
ref
78
ref
9
ref
6
ref
1410
ref
280
ref
21
ref
appTerm
1627
def
appTerm
absTerm
1628
def
appTerm
1629
def
appTerm
1630
def
282
ref
appTerm
absTerm
appTerm
1631
def
appTerm
285
ref
appTerm
1632
def
absTerm
1633
def
nil
cons
cons
nil
cons
nil
cons
cons
292
ref
35
ref
cons
55
ref
subst
1634
def
subst
278
ref
nil
57
ref
1632
ref
nil
cons
1635
def
cons
nil
cons
nil
cons
cons
63
ref
subst
286
remove
10
ref
1629
ref
absTerm
1636
def
appTerm
1637
def
betaConv
290
remove
nil
291
remove
77
ref
1637
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
134
ref
subst
proveHyp
292
remove
294
remove
295
remove
1636
ref
nil
cons
cons
nil
cons
cons
nil
cons
cons
145
ref
subst
eqMp
eqMp
nil
76
ref
78
ref
84
ref
1636
ref
68
ref
appTerm
1638
def
appTerm
9
ref
10
ref
78
ref
1636
ref
24
ref
appTerm
1639
def
appTerm
1636
ref
152
ref
appTerm
1640
def
appTerm
absTerm
appTerm
appTerm
appTerm
9
ref
10
ref
1639
ref
absTerm
appTerm
appTerm
nil
cons
cons
77
ref
1635
remove
cons
nil
cons
1641
def
cons
nil
cons
cons
134
ref
subst
proveHyp
169
ref
169
ref
274
ref
1638
remove
betaConv
275
ref
6
ref
169
ref
209
ref
appThm
1627
ref
refl
1642
def
appThm
nil
57
ref
1627
ref
nil
cons
1643
def
cons
nil
cons
nil
cons
cons
799
ref
subst
trans
absThm
appThm
334
ref
trans
trans
appThm
275
ref
10
ref
169
ref
1639
remove
betaConv
1644
def
appThm
1640
remove
betaConv
275
ref
6
ref
169
ref
266
ref
appThm
1642
remove
appThm
absThm
appThm
trans
appThm
absThm
appThm
appThm
nil
57
ref
9
ref
10
ref
1630
remove
9
ref
6
ref
78
ref
257
ref
appTerm
1627
ref
appTerm
absTerm
1645
def
appTerm
1646
def
appTerm
absTerm
1647
def
appTerm
1648
def
nil
cons
1649
def
cons
nil
cons
nil
cons
cons
613
ref
subst
trans
appThm
275
ref
10
ref
1644
remove
absThm
appThm
appThm
appThm
1632
ref
refl
appThm
sym
nil
76
ref
78
ref
78
ref
1648
remove
appTerm
9
ref
1636
remove
appTerm
1650
def
appTerm
1651
def
appTerm
1632
remove
appTerm
1652
def
nil
cons
cons
nil
cons
nil
cons
cons
170
ref
refl
1653
def
nil
57
ref
151
ref
79
ref
appTerm
1654
def
nil
cons
1655
def
cons
nil
cons
nil
cons
cons
1406
ref
subst
appThm
sym
1653
remove
108
ref
1502
ref
subst
1656
def
appThm
nil
195
ref
107
ref
cons
nil
cons
1657
def
nil
cons
cons
273
ref
subst
trans
sym
62
ref
eqMp
eqMp
1658
def
subst
sym
nil
76
ref
151
ref
1652
remove
appTerm
1659
def
nil
cons
1660
def
cons
168
ref
cons
nil
cons
cons
1661
def
95
ref
subst
1661
remove
143
ref
subst
205
remove
nil
207
remove
77
ref
265
remove
cons
nil
cons
cons
nil
cons
cons
143
ref
subst
proveHyp
264
remove
eqMp
nil
76
ref
84
ref
204
remove
appTerm
263
remove
appTerm
1662
def
nil
cons
1663
def
cons
168
ref
cons
nil
cons
cons
1664
def
134
ref
subst
proveHyp
1664
ref
95
ref
subst
1664
remove
143
ref
subst
nil
76
ref
1651
remove
nil
cons
cons
1641
remove
cons
nil
cons
cons
nil
76
ref
170
ref
161
ref
appTerm
1665
def
nil
cons
1666
def
cons
1667
def
77
ref
14
ref
151
ref
82
remove
appTerm
appTerm
85
ref
151
ref
81
ref
appTerm
1668
def
appTerm
appTerm
nil
cons
1669
def
cons
nil
cons
1670
def
cons
nil
cons
cons
1671
def
95
ref
subst
1671
remove
143
ref
subst
14
ref
"_542"
2
ref
var
1672
def
14
ref
151
ref
78
ref
1672
remove
varTerm
1673
def
appTerm
81
ref
appTerm
appTerm
appTerm
84
ref
1673
remove
appTerm
1668
ref
appTerm
appTerm
absTerm
1674
def
79
ref
appTerm
1675
def
appTerm
refl
1676
def
1674
ref
161
ref
appTerm
betaConv
appThm
64
ref
1675
remove
betaConv
appThm
1677
def
14
ref
151
ref
186
ref
81
ref
appTerm
1678
def
appTerm
appTerm
508
ref
1668
ref
appTerm
appTerm
refl
appThm
trans
1674
remove
refl
1679
def
1665
remove
assume
1680
def
appThm
eqMp
sym
64
ref
407
ref
111
ref
799
ref
subst
1681
def
appThm
1419
ref
trans
appThm
nil
57
ref
1668
ref
nil
cons
1682
def
cons
nil
cons
nil
cons
cons
1683
def
512
ref
subst
1684
def
appThm
219
ref
trans
sym
62
ref
eqMp
eqMp
eqMp
nil
114
ref
1666
ref
cons
1685
def
115
ref
1669
ref
cons
nil
cons
1686
def
cons
nil
cons
cons
128
ref
subst
deductAntisym
eqMp
nil
76
ref
170
remove
47
ref
appTerm
1687
def
nil
cons
1688
def
cons
1689
def
1670
remove
cons
nil
cons
cons
1690
def
95
ref
subst
1690
remove
143
ref
subst
1676
remove
"_540"
2
ref
var
1691
def
14
ref
151
ref
78
ref
1691
remove
varTerm
1692
def
appTerm
81
ref
appTerm
appTerm
appTerm
84
ref
1692
remove
appTerm
1668
ref
appTerm
appTerm
absTerm
47
ref
appTerm
betaConv
appThm
1677
remove
14
ref
151
ref
682
ref
81
ref
appTerm
1693
def
appTerm
appTerm
609
ref
1668
ref
appTerm
appTerm
refl
appThm
trans
1679
remove
1687
remove
assume
1694
def
appThm
eqMp
sym
64
ref
407
ref
111
ref
686
ref
subst
1695
def
appThm
appThm
1683
ref
613
ref
subst
1696
def
appThm
nil
195
ref
1682
remove
cons
nil
cons
nil
cons
cons
273
ref
subst
1697
def
trans
sym
62
ref
eqMp
eqMp
eqMp
nil
114
ref
1688
remove
cons
1698
def
1686
remove
cons
nil
cons
cons
128
ref
subst
deductAntisym
eqMp
1618
ref
79
ref
appTerm
1699
def
betaConv
1621
ref
nil
1622
ref
77
ref
1699
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
134
ref
subst
proveHyp
193
ref
1623
ref
1657
ref
cons
nil
cons
cons
145
ref
subst
eqMp
eqMp
1700
def
nil
1698
ref
115
ref
1666
remove
cons
1701
def
1423
ref
1669
remove
cons
nil
cons
cons
cons
nil
cons
cons
1437
ref
subst
proveHyp
proveHyp
proveHyp
1702
def
subst
274
ref
nil
76
ref
1649
remove
cons
77
ref
1650
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
nil
1667
ref
77
ref
83
remove
235
ref
1654
ref
appTerm
1703
def
81
ref
appTerm
1704
def
appTerm
nil
cons
1705
def
cons
nil
cons
1706
def
cons
nil
cons
cons
1707
def
95
ref
subst
1707
remove
143
ref
subst
14
ref
"_538"
2
ref
var
1708
def
14
ref
78
ref
1708
remove
varTerm
1709
def
appTerm
81
ref
appTerm
appTerm
235
ref
151
ref
1709
remove
appTerm
appTerm
81
ref
appTerm
appTerm
absTerm
1710
def
79
ref
appTerm
1711
def
appTerm
refl
1712
def
1710
ref
161
ref
appTerm
betaConv
appThm
64
ref
1711
remove
betaConv
appThm
1713
def
14
ref
1678
remove
appTerm
235
ref
217
ref
appTerm
1714
def
81
ref
appTerm
1715
def
appTerm
refl
appThm
trans
1710
remove
refl
1716
def
1680
ref
appThm
eqMp
sym
64
ref
1681
remove
appThm
245
ref
218
ref
appThm
1717
def
90
ref
appThm
111
ref
399
ref
subst
1718
def
trans
1719
def
appThm
1327
ref
trans
sym
62
ref
eqMp
eqMp
eqMp
nil
1685
ref
115
ref
1705
ref
cons
nil
cons
1720
def
cons
nil
cons
cons
128
ref
subst
deductAntisym
eqMp
nil
1689
ref
1706
remove
cons
nil
cons
cons
1721
def
95
ref
subst
1721
remove
143
ref
subst
1712
remove
"_536"
2
ref
var
1722
def
14
ref
78
ref
1722
remove
varTerm
1723
def
appTerm
81
ref
appTerm
appTerm
235
ref
151
ref
1723
remove
appTerm
appTerm
81
ref
appTerm
appTerm
absTerm
47
ref
appTerm
betaConv
appThm
1713
remove
14
ref
1693
remove
appTerm
235
ref
1418
ref
appTerm
1724
def
81
ref
appTerm
1725
def
appTerm
refl
appThm
trans
1716
remove
1694
ref
appThm
eqMp
sym
64
ref
1695
remove
appThm
245
ref
1419
ref
appThm
1726
def
90
remove
appThm
111
ref
474
ref
subst
1727
def
trans
1728
def
appThm
nil
195
ref
110
ref
cons
nil
cons
1729
def
nil
cons
cons
273
ref
subst
1730
def
trans
sym
62
ref
eqMp
eqMp
eqMp
nil
1698
ref
1720
remove
cons
nil
cons
cons
128
ref
subst
deductAntisym
eqMp
1700
ref
nil
1698
ref
1701
ref
1423
ref
1705
remove
cons
nil
cons
cons
cons
nil
cons
cons
1437
ref
subst
proveHyp
proveHyp
proveHyp
1731
def
subst
245
ref
nil
5
ref
1647
ref
nil
cons
cons
nil
cons
nil
cons
cons
36
ref
64
ref
407
ref
40
ref
refl
nil
"t"
38
ref
var
42
ref
nil
cons
1732
def
cons
nil
cons
nil
cons
cons
1593
remove
"B"
3
ref
cons
nil
cons
cons
35
ref
cons
"t"
0
ref
37
ref
"B"
varType
1733
def
nil
cons
cons
opType
1734
def
var
1735
def
11
remove
0
ref
1734
ref
0
ref
1734
ref
3
ref
cons
opType
1736
def
nil
cons
cons
opType
constTerm
1737
def
1735
ref
varTerm
1738
def
appTerm
46
ref
1738
ref
139
ref
appTerm
absTerm
1739
def
appTerm
1740
def
absTerm
1741
def
1738
ref
appTerm
1742
def
betaConv
7
ref
0
ref
1736
ref
3
ref
cons
opType
1743
def
constTerm
1744
def
refl
1735
ref
1740
remove
assume
sym
1737
remove
1739
remove
appTerm
1738
ref
appTerm
1745
def
assume
sym
deductAntisym
absThm
appThm
nil
1744
ref
1735
remove
1745
remove
absTerm
appTerm
axiom
eqMp
nil
76
ref
1744
remove
1741
ref
appTerm
nil
cons
cons
77
ref
1742
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
134
ref
subst
proveHyp
"A"
1734
ref
nil
cons
cons
nil
cons
"P"
1736
remove
var
1741
remove
nil
cons
cons
"x"
1734
ref
var
1738
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
145
ref
subst
eqMp
eqMp
subst
subst
appThm
appThm
appThm
"Data.Bool.?"
const
1746
def
39
ref
constTerm
1747
def
46
ref
151
ref
140
ref
appTerm
absTerm
appTerm
refl
appThm
sym
nil
44
ref
1732
remove
cons
nil
cons
nil
cons
cons
44
ref
14
ref
151
ref
40
ref
46
ref
45
ref
139
ref
appTerm
1748
def
absTerm
1749
def
appTerm
1750
def
appTerm
appTerm
1747
ref
46
ref
151
ref
1748
ref
appTerm
absTerm
1751
def
appTerm
appTerm
absTerm
1752
def
45
ref
appTerm
1753
def
betaConv
nil
7
ref
51
remove
constTerm
1754
def
1752
ref
appTerm
1755
def
axiom
nil
76
ref
1755
remove
nil
cons
cons
77
ref
1753
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
134
ref
subst
proveHyp
"A"
269
remove
cons
nil
cons
1756
def
"P"
39
remove
var
1757
def
1752
remove
nil
cons
cons
"x"
38
ref
var
1758
def
45
ref
nil
cons
cons
nil
cons
1759
def
cons
nil
cons
cons
145
ref
subst
eqMp
eqMp
subst
eqMp
subst
1760
def
subst
1746
ref
8
remove
constTerm
1761
def
refl
1762
def
10
ref
407
ref
1647
remove
24
ref
appTerm
betaConv
appThm
nil
76
ref
1629
remove
nil
cons
cons
1763
def
77
ref
1646
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
1702
ref
subst
274
ref
275
ref
6
ref
nil
1385
ref
77
ref
1643
ref
cons
nil
cons
1764
def
cons
nil
cons
cons
1765
def
1731
ref
subst
absThm
appThm
1766
def
appThm
nil
5
ref
1645
ref
nil
cons
cons
nil
cons
nil
cons
cons
1760
ref
subst
1762
ref
6
ref
407
ref
1645
remove
21
ref
appTerm
betaConv
appThm
nil
76
ref
267
ref
cons
1764
remove
cons
nil
cons
cons
1702
ref
subst
trans
absThm
appThm
trans
appThm
trans
trans
absThm
appThm
trans
appThm
275
ref
10
ref
1766
remove
absThm
appThm
appThm
trans
appThm
nil
76
ref
1631
remove
nil
cons
cons
77
ref
285
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
1702
ref
subst
274
ref
275
ref
10
ref
nil
1763
remove
77
ref
282
ref
nil
cons
1767
def
cons
nil
cons
1768
def
cons
nil
cons
cons
1731
ref
subst
245
ref
nil
5
ref
1628
ref
nil
cons
cons
nil
cons
nil
cons
cons
1760
ref
subst
1762
ref
6
ref
407
ref
1628
remove
21
ref
appTerm
betaConv
appThm
1765
ref
1702
ref
subst
trans
absThm
appThm
trans
appThm
282
ref
refl
1769
def
appThm
trans
absThm
appThm
appThm
nil
5
ref
284
ref
nil
cons
cons
1770
def
nil
cons
nil
cons
cons
1760
ref
subst
1762
ref
10
ref
407
ref
284
ref
24
ref
appTerm
betaConv
appThm
absThm
appThm
trans
appThm
trans
appThm
trans
274
ref
245
ref
1762
ref
10
ref
64
ref
84
ref
9
ref
6
ref
235
ref
1507
ref
appTerm
1771
def
1627
ref
appTerm
absTerm
1772
def
appTerm
1773
def
appTerm
1774
def
refl
1775
def
1762
ref
6
ref
6
ref
84
ref
257
ref
appTerm
151
ref
1627
ref
appTerm
1776
def
appTerm
1777
def
absTerm
1778
def
21
ref
appTerm
betaConv
1779
def
absThm
appThm
appThm
appThm
1762
ref
6
ref
1775
remove
1779
remove
appThm
absThm
appThm
appThm
nil
"q"
4
remove
var
1780
def
1778
remove
nil
cons
cons
76
ref
1773
ref
nil
cons
1781
def
cons
1782
def
nil
cons
cons
nil
cons
cons
36
ref
"q"
38
remove
var
1783
def
14
ref
85
ref
1747
ref
46
ref
1783
ref
varTerm
1784
def
139
ref
appTerm
1785
def
absTerm
1786
def
appTerm
1787
def
appTerm
appTerm
1747
ref
46
ref
85
remove
1785
ref
appTerm
absTerm
appTerm
appTerm
absTerm
1788
def
1784
ref
appTerm
1789
def
betaConv
76
ref
1754
ref
1788
ref
appTerm
1790
def
absTerm
1791
def
79
ref
appTerm
1792
def
betaConv
nil
191
ref
1791
ref
appTerm
1793
def
axiom
nil
76
ref
1793
remove
nil
cons
cons
77
ref
1792
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
134
ref
subst
proveHyp
193
ref
194
ref
1791
remove
nil
cons
cons
1657
ref
cons
nil
cons
cons
145
ref
subst
eqMp
eqMp
nil
76
ref
1790
remove
nil
cons
cons
77
ref
1789
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
134
ref
subst
proveHyp
1756
ref
1757
ref
1788
remove
nil
cons
cons
1758
remove
1784
ref
nil
cons
cons
nil
cons
1794
def
cons
nil
cons
cons
145
ref
subst
eqMp
eqMp
1795
def
subst
1796
def
subst
eqMp
absThm
appThm
appThm
9
ref
10
ref
1773
remove
absTerm
1797
def
appTerm
1798
def
refl
1799
def
appThm
64
ref
245
ref
1762
ref
10
ref
10
ref
1761
ref
6
ref
1774
remove
1777
ref
appTerm
1800
def
absTerm
1801
def
appTerm
absTerm
1802
def
24
ref
appTerm
betaConv
1803
def
absThm
appThm
appThm
1799
ref
appThm
appThm
1762
ref
10
ref
245
ref
1803
remove
appThm
1799
ref
appThm
absThm
appThm
appThm
nil
278
ref
1802
remove
nil
cons
cons
77
ref
1798
ref
nil
cons
1804
def
cons
nil
cons
1805
def
cons
nil
cons
cons
36
ref
77
ref
14
ref
235
ref
1747
ref
1749
remove
appTerm
1806
def
appTerm
81
ref
appTerm
appTerm
1747
ref
46
ref
235
ref
1748
ref
appTerm
81
ref
appTerm
absTerm
appTerm
appTerm
absTerm
1807
def
81
ref
appTerm
1808
def
betaConv
44
ref
191
ref
1807
ref
appTerm
1809
def
absTerm
1810
def
45
ref
appTerm
1811
def
betaConv
nil
1754
ref
1810
ref
appTerm
1812
def
axiom
nil
76
ref
1812
remove
nil
cons
cons
77
ref
1811
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
134
ref
subst
proveHyp
1756
ref
1757
ref
1810
remove
nil
cons
cons
1759
ref
cons
nil
cons
cons
145
ref
subst
eqMp
eqMp
nil
76
ref
1809
remove
nil
cons
cons
77
ref
1808
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
134
ref
subst
proveHyp
193
ref
194
ref
1807
remove
nil
cons
cons
1729
ref
cons
nil
cons
cons
145
ref
subst
eqMp
eqMp
subst
1813
def
subst
eqMp
1762
ref
10
ref
64
ref
245
ref
1762
ref
6
ref
1801
ref
21
ref
appTerm
betaConv
1814
def
absThm
appThm
appThm
1799
ref
appThm
appThm
1762
ref
6
ref
245
ref
1814
remove
appThm
1799
remove
appThm
absThm
appThm
appThm
nil
278
ref
1801
remove
nil
cons
cons
1805
remove
cons
nil
cons
cons
1813
ref
subst
eqMp
absThm
appThm
trans
trans
appThm
274
ref
275
ref
10
ref
64
ref
245
ref
1762
ref
6
ref
6
ref
562
ref
1776
ref
appTerm
1815
def
absTerm
1816
def
21
ref
appTerm
betaConv
1817
def
absThm
appThm
appThm
1769
ref
appThm
appThm
1762
ref
6
ref
245
ref
1817
remove
appThm
1769
ref
appThm
absThm
appThm
appThm
nil
278
ref
1816
remove
nil
cons
cons
1768
ref
cons
nil
cons
cons
1813
remove
subst
eqMp
absThm
appThm
64
ref
275
ref
10
ref
1762
ref
6
ref
10
ref
6
ref
235
ref
1815
remove
appTerm
282
ref
appTerm
absTerm
1818
def
absTerm
1819
def
24
ref
appTerm
betaConv
1820
def
21
ref
refl
1821
def
appThm
1818
ref
21
ref
appTerm
betaConv
trans
absThm
appThm
absThm
appThm
appThm
1746
ref
0
ref
0
ref
19
ref
3
ref
cons
opType
1822
def
3
ref
cons
opType
1823
def
constTerm
1824
def
refl
1825
def
"f"
19
ref
var
1826
def
275
ref
10
ref
1820
remove
1826
ref
varTerm
1827
def
24
ref
appTerm
1828
def
refl
1829
def
appThm
1818
remove
1828
ref
appTerm
betaConv
trans
absThm
appThm
absThm
appThm
appThm
nil
"r"
16
remove
var
1830
def
1819
remove
nil
cons
cons
nil
cons
nil
cons
cons
"B"
18
remove
cons
34
ref
cons
35
ref
cons
"r"
0
ref
37
remove
0
ref
1733
ref
3
ref
cons
opType
1831
def
nil
cons
cons
opType
1832
def
var
1833
def
14
ref
40
ref
46
ref
1746
ref
0
ref
1831
remove
3
ref
cons
opType
constTerm
"y"
1733
remove
var
1834
def
1833
remove
varTerm
1835
def
139
ref
appTerm
1836
def
1834
remove
varTerm
appTerm
absTerm
appTerm
absTerm
appTerm
appTerm
1746
remove
1743
remove
constTerm
"f"
1734
remove
var
1837
def
40
ref
46
ref
1836
remove
1837
remove
varTerm
139
ref
appTerm
appTerm
absTerm
appTerm
absTerm
appTerm
appTerm
absTerm
1838
def
1835
ref
appTerm
1839
def
betaConv
nil
7
ref
0
ref
0
remove
1832
ref
3
ref
cons
opType
1840
def
3
remove
cons
opType
constTerm
1838
ref
appTerm
1841
def
axiom
nil
76
ref
1841
remove
nil
cons
cons
77
ref
1839
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
134
ref
subst
proveHyp
"A"
1832
ref
nil
cons
cons
nil
cons
"P"
1840
remove
var
1838
remove
nil
cons
cons
"x"
1832
remove
var
1835
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
145
ref
subst
eqMp
eqMp
subst
1842
def
subst
eqMp
trans
appThm
1761
ref
10
ref
151
ref
282
ref
appTerm
1843
def
absTerm
1844
def
appTerm
1845
def
refl
1846
def
appThm
64
ref
274
ref
1825
ref
1826
ref
1826
ref
9
ref
10
ref
235
ref
84
ref
27
ref
1828
ref
appTerm
24
ref
appTerm
1847
def
appTerm
1848
def
151
ref
280
ref
1828
ref
appTerm
1849
def
appTerm
1850
def
appTerm
appTerm
282
ref
appTerm
absTerm
appTerm
1851
def
absTerm
1852
def
1827
ref
appTerm
betaConv
1853
def
absThm
appThm
appThm
1846
ref
appThm
appThm
1825
ref
1826
ref
274
ref
1853
remove
appThm
1846
remove
appThm
absThm
appThm
appThm
nil
"p"
1822
ref
var
1852
remove
nil
cons
cons
77
ref
1845
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
"A"
19
ref
nil
cons
cons
nil
cons
1854
def
35
remove
cons
1855
def
77
ref
14
ref
84
ref
1806
ref
appTerm
81
ref
appTerm
appTerm
1747
ref
46
ref
84
ref
1748
ref
appTerm
1856
def
81
ref
appTerm
absTerm
appTerm
appTerm
absTerm
1857
def
81
ref
appTerm
1858
def
betaConv
44
ref
191
ref
1857
ref
appTerm
1859
def
absTerm
1860
def
45
ref
appTerm
1861
def
betaConv
nil
1754
ref
1860
ref
appTerm
1862
def
axiom
nil
76
ref
1862
remove
nil
cons
cons
77
ref
1861
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
134
ref
subst
proveHyp
1756
ref
1757
ref
1860
remove
nil
cons
cons
1759
ref
cons
nil
cons
cons
145
ref
subst
eqMp
eqMp
nil
76
ref
1859
remove
nil
cons
cons
77
ref
1858
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
134
ref
subst
proveHyp
193
ref
194
ref
1857
remove
nil
cons
cons
1729
remove
cons
nil
cons
cons
145
ref
subst
eqMp
eqMp
1863
def
subst
subst
eqMp
1825
ref
1826
ref
64
ref
84
ref
1851
ref
appTerm
1864
def
refl
1865
def
1762
ref
10
ref
1844
ref
24
ref
appTerm
betaConv
1866
def
absThm
1867
def
appThm
appThm
appThm
1762
ref
10
ref
1865
remove
1866
ref
appThm
absThm
appThm
appThm
nil
1780
ref
1844
ref
nil
cons
1868
def
cons
76
ref
1851
remove
nil
cons
1869
def
cons
nil
cons
cons
nil
cons
cons
1796
ref
subst
eqMp
absThm
appThm
trans
trans
appThm
64
ref
274
ref
1762
ref
10
ref
10
ref
1761
ref
6
ref
235
ref
1800
ref
appTerm
1798
remove
appTerm
1870
def
absTerm
1871
def
appTerm
absTerm
1872
def
24
ref
appTerm
betaConv
1873
def
absThm
appThm
appThm
1824
ref
1826
ref
1761
ref
10
ref
1864
ref
1843
ref
appTerm
absTerm
1874
def
appTerm
absTerm
1875
def
appTerm
1876
def
refl
1877
def
appThm
appThm
1762
ref
10
ref
274
ref
1873
remove
appThm
1877
ref
appThm
absThm
appThm
appThm
nil
278
ref
1872
remove
nil
cons
cons
77
ref
1876
remove
nil
cons
cons
nil
cons
1878
def
cons
nil
cons
cons
36
ref
1863
remove
subst
1879
def
subst
eqMp
1762
ref
10
ref
64
ref
274
ref
1762
ref
6
ref
1871
ref
21
ref
appTerm
betaConv
1880
def
absThm
appThm
appThm
1877
ref
appThm
appThm
1762
ref
6
ref
274
ref
1880
remove
appThm
1877
remove
appThm
absThm
appThm
appThm
nil
278
ref
1871
remove
nil
cons
cons
1878
remove
cons
nil
cons
cons
1879
remove
subst
eqMp
1762
ref
6
ref
64
ref
84
ref
1870
ref
appTerm
1881
def
refl
1882
def
1825
ref
1826
ref
1875
ref
1827
ref
appTerm
betaConv
1883
def
absThm
appThm
appThm
appThm
1825
ref
1826
ref
1882
ref
1883
remove
appThm
absThm
appThm
appThm
nil
"q"
1822
ref
var
1875
remove
nil
cons
cons
76
ref
1870
remove
nil
cons
1884
def
cons
nil
cons
1885
def
cons
nil
cons
cons
1855
ref
1795
remove
subst
subst
eqMp
1825
ref
1826
ref
64
ref
1882
ref
1762
ref
10
ref
1874
ref
24
ref
appTerm
betaConv
absThm
appThm
appThm
appThm
1762
ref
1209
ref
1882
remove
1874
ref
1210
ref
appTerm
betaConv
appThm
absThm
appThm
appThm
nil
1780
ref
1874
remove
nil
cons
cons
1885
remove
cons
nil
cons
cons
1796
remove
subst
eqMp
absThm
appThm
trans
absThm
appThm
trans
absThm
appThm
trans
trans
trans
1659
remove
assume
eqMp
nil
76
ref
1761
ref
10
ref
1761
ref
6
ref
1824
ref
1826
ref
1761
ref
1209
ref
1881
remove
1864
remove
151
ref
280
ref
1210
ref
appTerm
1886
def
appTerm
1887
def
appTerm
1888
def
appTerm
1889
def
absTerm
1890
def
appTerm
1891
def
absTerm
1892
def
appTerm
1893
def
absTerm
1894
def
appTerm
1895
def
absTerm
1896
def
appTerm
1897
def
nil
cons
cons
168
ref
cons
nil
cons
cons
134
ref
subst
proveHyp
nil
5
ref
10
ref
78
ref
1896
ref
24
ref
appTerm
1898
def
appTerm
161
ref
appTerm
1899
def
absTerm
nil
cons
cons
nil
cons
nil
cons
cons
56
ref
subst
10
ref
nil
57
ref
1899
remove
nil
cons
cons
nil
cons
nil
cons
cons
63
ref
subst
nil
76
ref
1898
ref
nil
cons
1900
def
cons
168
ref
cons
nil
cons
cons
1901
def
95
ref
subst
1901
remove
143
ref
subst
1898
ref
betaConv
1898
remove
assume
eqMp
nil
76
ref
1895
ref
nil
cons
cons
168
ref
cons
nil
cons
cons
134
ref
subst
proveHyp
nil
5
ref
6
ref
78
ref
1894
ref
21
ref
appTerm
1902
def
appTerm
161
ref
appTerm
1903
def
absTerm
nil
cons
cons
nil
cons
nil
cons
cons
56
ref
subst
6
ref
nil
57
ref
1903
remove
nil
cons
cons
nil
cons
nil
cons
cons
63
ref
subst
nil
76
ref
1902
ref
nil
cons
1904
def
cons
168
ref
cons
nil
cons
cons
1905
def
95
ref
subst
1905
remove
143
ref
subst
1902
ref
betaConv
1902
remove
assume
eqMp
nil
76
ref
1893
ref
nil
cons
cons
168
ref
cons
nil
cons
cons
134
ref
subst
proveHyp
nil
"P"
1822
remove
var
1906
def
1826
ref
78
ref
1892
ref
1827
ref
appTerm
1907
def
appTerm
161
ref
appTerm
1908
def
absTerm
nil
cons
cons
nil
cons
nil
cons
cons
1855
remove
55
ref
subst
1909
def
subst
1826
ref
nil
57
ref
1908
remove
nil
cons
cons
nil
cons
nil
cons
cons
63
ref
subst
nil
76
ref
1907
ref
nil
cons
1910
def
cons
168
ref
cons
nil
cons
cons
1911
def
95
ref
subst
1911
remove
143
ref
subst
1907
ref
betaConv
1907
remove
assume
eqMp
nil
76
ref
1891
ref
nil
cons
cons
168
ref
cons
nil
cons
cons
134
ref
subst
proveHyp
nil
5
ref
1209
ref
78
ref
1890
ref
1210
ref
appTerm
1912
def
appTerm
161
ref
appTerm
1913
def
absTerm
nil
cons
cons
nil
cons
nil
cons
cons
56
ref
subst
1209
remove
nil
57
ref
1913
remove
nil
cons
cons
nil
cons
nil
cons
cons
63
ref
subst
nil
76
ref
1912
ref
nil
cons
1914
def
cons
168
ref
cons
nil
cons
cons
1915
def
95
ref
subst
1915
remove
143
ref
subst
1912
ref
betaConv
1912
remove
assume
eqMp
nil
76
ref
1889
remove
nil
cons
1916
def
cons
168
ref
cons
nil
cons
cons
1917
def
134
ref
subst
proveHyp
1917
ref
95
ref
subst
1917
remove
143
ref
subst
nil
76
ref
1804
ref
cons
1918
def
168
ref
cons
nil
cons
cons
1919
def
95
ref
subst
1919
remove
143
ref
subst
nil
135
ref
1220
ref
cons
nil
cons
nil
cons
cons
36
ref
144
remove
subst
subst
nil
76
ref
70
ref
1210
ref
appTerm
1210
ref
appTerm
nil
cons
cons
77
ref
27
ref
1210
remove
appTerm
1212
ref
appTerm
nil
cons
1920
def
cons
nil
cons
cons
nil
cons
cons
134
ref
subst
proveHyp
nil
"_2009"
1
ref
var
1921
def
1220
ref
cons
"_2008"
1
ref
var
1922
def
1220
ref
cons
nil
cons
cons
nil
cons
cons
nil
"b"
2
ref
var
1923
def
151
ref
70
ref
1922
remove
varTerm
1924
def
appTerm
1925
def
1921
remove
varTerm
1926
def
appTerm
1927
def
appTerm
1928
def
nil
cons
cons
"a"
2
ref
var
1929
def
27
ref
1924
ref
appTerm
1930
def
20
remove
1926
ref
appTerm
appTerm
1931
def
nil
cons
cons
nil
cons
cons
nil
cons
cons
nil
76
ref
14
ref
1929
ref
varTerm
1932
def
appTerm
1933
def
161
ref
appTerm
1934
def
nil
cons
1935
def
cons
1936
def
77
ref
14
ref
235
ref
1932
ref
appTerm
1937
def
1923
ref
varTerm
1938
def
appTerm
1939
def
appTerm
78
ref
151
ref
1938
ref
appTerm
1940
def
appTerm
1941
def
1932
ref
appTerm
appTerm
nil
cons
1942
def
cons
nil
cons
1943
def
cons
nil
cons
cons
1944
def
95
ref
subst
1944
remove
143
ref
subst
14
ref
"_606"
2
ref
var
1945
def
14
ref
235
ref
1945
remove
varTerm
1946
def
appTerm
1938
ref
appTerm
appTerm
1941
ref
1946
remove
appTerm
appTerm
absTerm
1947
def
1932
ref
appTerm
1948
def
appTerm
refl
1949
def
1947
ref
161
ref
appTerm
betaConv
appThm
64
ref
1948
remove
betaConv
appThm
1950
def
14
ref
470
ref
1938
ref
appTerm
1951
def
appTerm
1941
ref
161
ref
appTerm
appTerm
refl
appThm
trans
1947
remove
refl
1952
def
1934
remove
assume
1953
def
appThm
eqMp
sym
64
ref
nil
57
ref
1938
ref
nil
cons
1954
def
cons
nil
cons
nil
cons
cons
1955
def
474
ref
subst
1956
def
appThm
nil
57
ref
1940
ref
nil
cons
1957
def
cons
nil
cons
nil
cons
cons
1958
def
1406
ref
subst
1959
def
1955
ref
1502
ref
subst
1960
def
trans
appThm
nil
195
ref
1954
remove
cons
nil
cons
nil
cons
cons
273
ref
subst
1961
def
trans
sym
62
ref
eqMp
eqMp
eqMp
nil
114
ref
1935
ref
cons
1962
def
115
ref
1942
ref
cons
nil
cons
1963
def
cons
nil
cons
cons
128
ref
subst
deductAntisym
eqMp
nil
76
ref
1933
remove
47
ref
appTerm
1964
def
nil
cons
1965
def
cons
1966
def
1943
remove
cons
nil
cons
cons
1967
def
95
ref
subst
1967
remove
143
ref
subst
1949
remove
"_604"
2
ref
var
1968
def
14
ref
235
ref
1968
remove
varTerm
1969
def
appTerm
1938
ref
appTerm
appTerm
1941
ref
1969
remove
appTerm
appTerm
absTerm
47
ref
appTerm
betaConv
appThm
1950
remove
14
ref
395
ref
1938
ref
appTerm
1970
def
appTerm
1941
ref
47
ref
appTerm
appTerm
refl
appThm
trans
1952
remove
1964
remove
assume
1971
def
appThm
eqMp
sym
64
ref
1955
ref
399
ref
subst
1972
def
appThm
1958
ref
730
ref
subst
1973
def
appThm
1327
ref
trans
sym
62
ref
eqMp
eqMp
eqMp
nil
114
ref
1965
remove
cons
1974
def
1963
remove
cons
nil
cons
cons
128
ref
subst
deductAntisym
eqMp
1618
ref
1932
ref
appTerm
1975
def
betaConv
1621
ref
nil
1622
ref
77
ref
1975
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
134
ref
subst
proveHyp
193
ref
1623
ref
195
ref
1932
ref
nil
cons
1976
def
cons
nil
cons
cons
nil
cons
cons
145
ref
subst
eqMp
eqMp
1977
def
nil
1974
ref
115
ref
1935
remove
cons
1978
def
1423
ref
1942
remove
cons
nil
cons
cons
cons
nil
cons
cons
1437
ref
subst
proveHyp
proveHyp
proveHyp
1979
def
subst
169
ref
nil
1929
ref
1927
remove
nil
cons
cons
nil
cons
nil
cons
cons
nil
57
ref
1976
remove
cons
nil
cons
nil
cons
cons
1502
ref
subst
1980
def
subst
appThm
1931
ref
refl
appThm
trans
10
ref
84
ref
235
ref
1930
ref
152
remove
appTerm
appTerm
1981
def
151
ref
1925
remove
24
ref
appTerm
appTerm
appTerm
appTerm
1981
remove
151
ref
1930
ref
24
ref
appTerm
appTerm
appTerm
appTerm
absTerm
1982
def
1926
ref
appTerm
1983
def
betaConv
6
ref
9
ref
10
ref
84
ref
235
ref
226
ref
appTerm
1984
def
1379
ref
appTerm
appTerm
1984
ref
1507
ref
appTerm
appTerm
absTerm
appTerm
absTerm
1985
def
1924
ref
appTerm
1986
def
betaConv
275
ref
6
ref
275
ref
10
ref
nil
1929
ref
226
ref
nil
cons
1987
def
cons
1923
ref
1390
remove
cons
"c"
2
ref
var
1988
def
1507
ref
nil
cons
cons
nil
cons
cons
cons
nil
cons
cons
nil
1936
ref
77
ref
14
ref
1937
ref
84
ref
1938
ref
appTerm
1988
ref
varTerm
1989
def
appTerm
1990
def
appTerm
appTerm
84
ref
1939
remove
appTerm
1937
remove
1989
ref
appTerm
1991
def
appTerm
appTerm
nil
cons
1992
def
cons
nil
cons
1993
def
cons
nil
cons
cons
1994
def
95
ref
subst
1994
remove
143
ref
subst
14
ref
"_582"
2
ref
var
1995
def
14
ref
235
ref
1995
remove
varTerm
appTerm
1996
def
1990
ref
appTerm
appTerm
84
ref
1996
ref
1938
ref
appTerm
appTerm
1996
remove
1989
ref
appTerm
appTerm
appTerm
absTerm
1997
def
1932
ref
appTerm
1998
def
appTerm
refl
1999
def
1997
ref
161
ref
appTerm
betaConv
appThm
64
ref
1998
remove
betaConv
appThm
2000
def
14
ref
470
ref
1990
ref
appTerm
appTerm
84
ref
1951
remove
appTerm
470
ref
1989
ref
appTerm
2001
def
appTerm
appTerm
refl
appThm
trans
1997
remove
refl
2002
def
1953
ref
appThm
eqMp
sym
64
ref
nil
57
ref
1990
ref
nil
cons
2003
def
cons
nil
cons
nil
cons
cons
2004
def
474
ref
subst
appThm
274
ref
1956
remove
appThm
nil
57
ref
1989
ref
nil
cons
2005
def
cons
nil
cons
nil
cons
cons
2006
def
474
ref
subst
2007
def
appThm
appThm
nil
195
ref
2003
remove
cons
nil
cons
nil
cons
cons
273
ref
subst
trans
sym
62
ref
eqMp
eqMp
eqMp
nil
1962
ref
115
ref
1992
ref
cons
nil
cons
2008
def
cons
nil
cons
cons
128
ref
subst
deductAntisym
eqMp
nil
1966
ref
1993
remove
cons
nil
cons
cons
2009
def
95
ref
subst
2009
remove
143
ref
subst
1999
remove
"_580"
2
ref
var
2010
def
14
ref
235
ref
2010
remove
varTerm
appTerm
2011
def
1990
ref
appTerm
appTerm
84
ref
2011
ref
1938
ref
appTerm
appTerm
2011
remove
1989
ref
appTerm
appTerm
appTerm
absTerm
47
ref
appTerm
betaConv
appThm
2000
remove
14
ref
395
ref
1990
remove
appTerm
appTerm
84
ref
1970
remove
appTerm
395
ref
1989
ref
appTerm
2012
def
appTerm
appTerm
refl
appThm
trans
2002
remove
1971
ref
appThm
eqMp
sym
64
ref
2004
remove
399
ref
subst
appThm
274
ref
1972
remove
appThm
2006
ref
399
ref
subst
2013
def
appThm
703
remove
trans
appThm
1327
ref
trans
sym
62
ref
eqMp
eqMp
eqMp
nil
1974
ref
2008
remove
cons
nil
cons
cons
128
ref
subst
deductAntisym
eqMp
1977
ref
nil
1974
ref
1978
ref
1423
ref
1992
remove
cons
nil
cons
cons
cons
nil
cons
cons
1437
ref
subst
proveHyp
proveHyp
proveHyp
2014
def
subst
absThm
appThm
absThm
appThm
274
ref
275
ref
6
ref
407
ref
27
ref
refl
1821
ref
appThm
304
remove
1417
remove
subst
2015
def
appThm
appThm
absThm
appThm
appThm
2016
def
275
ref
6
ref
275
ref
10
ref
nil
76
ref
1987
remove
cons
77
ref
267
ref
cons
nil
cons
cons
nil
cons
cons
nil
1667
ref
77
ref
14
ref
171
ref
appTerm
84
ref
235
ref
79
ref
appTerm
2017
def
1668
ref
appTerm
appTerm
1704
remove
appTerm
appTerm
nil
cons
2018
def
cons
nil
cons
2019
def
cons
nil
cons
cons
2020
def
95
ref
subst
2020
remove
143
ref
subst
14
ref
"_554"
2
ref
var
2021
def
14
ref
14
ref
2021
remove
varTerm
2022
def
appTerm
81
ref
appTerm
appTerm
84
ref
235
ref
2022
ref
appTerm
1668
ref
appTerm
appTerm
235
ref
151
ref
2022
remove
appTerm
appTerm
81
ref
appTerm
appTerm
appTerm
absTerm
2023
def
79
ref
appTerm
2024
def
appTerm
refl
2025
def
2023
ref
161
ref
appTerm
betaConv
appThm
64
ref
2024
remove
betaConv
appThm
2026
def
14
ref
190
ref
81
ref
appTerm
appTerm
84
ref
470
ref
1668
ref
appTerm
appTerm
1715
remove
appTerm
appTerm
refl
appThm
trans
2023
remove
refl
2027
def
1680
ref
appThm
eqMp
sym
64
ref
111
ref
216
ref
subst
appThm
274
ref
1683
ref
474
ref
subst
2028
def
appThm
1719
remove
appThm
1683
ref
775
ref
subst
trans
appThm
1697
ref
trans
sym
62
ref
eqMp
eqMp
eqMp
nil
1685
ref
115
ref
2018
ref
cons
nil
cons
2029
def
cons
nil
cons
cons
128
ref
subst
deductAntisym
eqMp
nil
1689
ref
2019
remove
cons
nil
cons
cons
2030
def
95
ref
subst
2030
remove
143
ref
subst
2025
remove
"_552"
2
ref
var
2031
def
14
ref
14
ref
2031
remove
varTerm
2032
def
appTerm
81
ref
appTerm
appTerm
84
ref
235
ref
2032
ref
appTerm
1668
ref
appTerm
appTerm
235
ref
151
ref
2032
remove
appTerm
appTerm
81
ref
appTerm
appTerm
appTerm
absTerm
47
ref
appTerm
betaConv
appThm
2026
remove
14
ref
1322
ref
81
ref
appTerm
appTerm
84
ref
395
ref
1668
ref
appTerm
appTerm
1725
remove
appTerm
appTerm
refl
appThm
trans
2027
remove
1694
ref
appThm
eqMp
sym
64
ref
111
ref
1326
ref
subst
appThm
274
ref
1683
remove
399
ref
subst
2033
def
appThm
1728
remove
appThm
111
ref
613
ref
subst
2034
def
trans
appThm
1730
remove
trans
sym
62
ref
eqMp
eqMp
eqMp
nil
1698
ref
2029
remove
cons
nil
cons
cons
128
ref
subst
deductAntisym
eqMp
1700
ref
nil
1698
ref
1701
ref
1423
ref
2018
remove
cons
nil
cons
cons
cons
nil
cons
cons
1437
ref
subst
proveHyp
proveHyp
proveHyp
subst
274
ref
245
ref
226
ref
refl
2035
def
appThm
1415
remove
nil
1667
ref
77
ref
14
ref
151
ref
2017
ref
81
ref
appTerm
appTerm
appTerm
84
ref
1654
ref
appTerm
1668
ref
appTerm
appTerm
nil
cons
2036
def
cons
nil
cons
2037
def
cons
nil
cons
cons
2038
def
95
ref
subst
2038
remove
143
ref
subst
14
ref
"_534"
2
ref
var
2039
def
14
ref
151
ref
235
ref
2039
remove
varTerm
2040
def
appTerm
81
ref
appTerm
appTerm
appTerm
84
ref
151
ref
2040
remove
appTerm
appTerm
1668
ref
appTerm
appTerm
absTerm
2041
def
79
ref
appTerm
2042
def
appTerm
refl
2043
def
2041
ref
161
ref
appTerm
betaConv
appThm
64
ref
2042
remove
betaConv
appThm
2044
def
14
ref
151
ref
470
remove
81
ref
appTerm
appTerm
appTerm
84
ref
217
ref
appTerm
1668
ref
appTerm
appTerm
refl
appThm
trans
2041
remove
refl
2045
def
1680
ref
appThm
eqMp
sym
64
ref
407
ref
1727
remove
appThm
appThm
274
ref
218
ref
appThm
1668
ref
refl
2046
def
appThm
1696
remove
trans
appThm
1697
ref
trans
sym
62
ref
eqMp
eqMp
eqMp
nil
1685
ref
115
ref
2036
ref
cons
nil
cons
2047
def
cons
nil
cons
cons
128
ref
subst
deductAntisym
eqMp
nil
1689
ref
2037
remove
cons
nil
cons
cons
2048
def
95
ref
subst
2048
remove
143
ref
subst
2043
remove
"_532"
2
ref
var
2049
def
14
ref
151
ref
235
ref
2049
remove
varTerm
2050
def
appTerm
81
ref
appTerm
appTerm
appTerm
84
ref
151
ref
2050
remove
appTerm
appTerm
1668
ref
appTerm
appTerm
absTerm
47
ref
appTerm
betaConv
appThm
2044
remove
14
ref
151
ref
395
remove
81
ref
appTerm
appTerm
appTerm
84
ref
1418
ref
appTerm
1668
ref
appTerm
appTerm
refl
appThm
trans
2045
remove
1694
ref
appThm
eqMp
sym
64
ref
407
ref
1718
remove
appThm
1419
ref
trans
appThm
274
ref
1419
ref
appThm
2046
ref
appThm
1684
remove
trans
appThm
219
remove
trans
sym
62
ref
eqMp
eqMp
eqMp
nil
1698
ref
2047
remove
cons
nil
cons
cons
128
ref
subst
deductAntisym
eqMp
1700
ref
nil
1698
ref
1701
ref
1423
ref
2036
remove
cons
nil
cons
cons
cons
nil
cons
cons
1437
ref
subst
proveHyp
proveHyp
proveHyp
subst
appThm
appThm
245
ref
407
ref
2035
remove
appThm
appThm
245
ref
1389
remove
appThm
336
remove
appThm
appThm
appThm
trans
absThm
appThm
absThm
appThm
appThm
2016
remove
275
ref
6
ref
64
ref
275
ref
10
ref
274
ref
10
ref
1984
remove
84
ref
1379
remove
appTerm
1507
remove
appTerm
appTerm
absTerm
2051
def
24
ref
appTerm
betaConv
2052
def
appThm
10
ref
235
ref
151
ref
226
remove
appTerm
appTerm
257
remove
appTerm
absTerm
2053
def
24
ref
appTerm
betaConv
2054
def
appThm
absThm
appThm
appThm
274
ref
275
ref
10
ref
2052
remove
absThm
appThm
appThm
275
ref
10
ref
2054
remove
absThm
appThm
appThm
appThm
nil
278
ref
2051
ref
nil
cons
cons
1780
ref
2053
ref
nil
cons
cons
nil
cons
cons
nil
cons
cons
36
ref
1783
ref
14
ref
40
ref
46
ref
1856
remove
1785
ref
appTerm
absTerm
appTerm
appTerm
84
ref
1750
remove
appTerm
40
ref
1786
remove
appTerm
appTerm
appTerm
absTerm
2055
def
1784
ref
appTerm
2056
def
betaConv
44
ref
1754
ref
2055
ref
appTerm
2057
def
absTerm
2058
def
45
ref
appTerm
2059
def
betaConv
nil
1754
ref
2058
ref
appTerm
2060
def
axiom
nil
76
ref
2060
remove
nil
cons
cons
77
ref
2059
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
134
ref
subst
proveHyp
1756
ref
1757
ref
2058
remove
nil
cons
cons
1759
ref
cons
nil
cons
cons
145
ref
subst
eqMp
eqMp
nil
76
ref
2057
remove
nil
cons
cons
77
ref
2056
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
134
ref
subst
proveHyp
1756
ref
1757
ref
2055
remove
nil
cons
cons
1794
ref
cons
nil
cons
cons
145
ref
subst
eqMp
eqMp
subst
2061
def
subst
eqMp
absThm
appThm
64
ref
275
ref
6
ref
274
ref
6
ref
9
ref
2051
remove
appTerm
absTerm
2062
def
21
ref
appTerm
betaConv
2063
def
appThm
6
ref
9
ref
2053
remove
appTerm
absTerm
2064
def
21
ref
appTerm
betaConv
2065
def
appThm
absThm
appThm
appThm
274
ref
275
ref
6
ref
2063
remove
absThm
appThm
appThm
275
ref
6
ref
2065
remove
absThm
appThm
appThm
appThm
nil
278
ref
2062
ref
nil
cons
cons
1780
ref
2064
ref
nil
cons
cons
nil
cons
cons
nil
cons
cons
2061
remove
subst
eqMp
trans
appThm
trans
1662
remove
assume
eqMp
nil
114
ref
206
remove
cons
115
ref
84
ref
9
ref
2062
remove
appTerm
2066
def
appTerm
9
ref
2064
remove
appTerm
2067
def
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
181
ref
subst
proveHyp
nil
114
ref
2066
remove
nil
cons
cons
115
ref
2067
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
128
ref
subst
proveHyp
eqMp
nil
76
ref
9
ref
1985
ref
appTerm
nil
cons
cons
77
ref
1986
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
134
ref
subst
proveHyp
34
ref
5
ref
1985
remove
nil
cons
cons
135
ref
1924
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
145
ref
subst
eqMp
eqMp
nil
76
ref
9
ref
1982
ref
appTerm
nil
cons
cons
77
ref
1983
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
134
ref
subst
proveHyp
34
ref
5
ref
1982
remove
nil
cons
cons
135
ref
1926
ref
nil
cons
cons
nil
cons
cons
nil
cons
cons
145
ref
subst
eqMp
eqMp
nil
114
ref
235
ref
1931
remove
appTerm
2068
def
1928
remove
appTerm
nil
cons
cons
115
ref
2068
remove
151
ref
1930
remove
1926
remove
appTerm
appTerm
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
128
ref
subst
proveHyp
eqMp
subst
eqMp
nil
76
ref
1920
remove
cons
77
ref
1886
remove
nil
cons
2069
def
cons
nil
cons
cons
nil
cons
cons
134
ref
subst
proveHyp
nil
"_2012"
1
ref
var
2070
def
1212
remove
nil
cons
cons
"_2013"
1
ref
var
2071
def
1220
remove
cons
nil
cons
cons
nil
cons
cons
nil
1923
ref
151
ref
27
ref
2071
remove
varTerm
2072
def
appTerm
2070
remove
varTerm
2073
def
appTerm
2074
def
appTerm
nil
cons
2075
def
cons
1929
ref
280
ref
2072
ref
appTerm
2076
def
nil
cons
2077
def
cons
nil
cons
cons
nil
cons
cons
1979
ref
subst
169
ref
nil
1929
ref
2074
remove
nil
cons
cons
nil
cons
nil
cons
cons
1980
ref
subst
appThm
2076
remove
refl
appThm
trans
nil
77
ref
2077
remove
cons
76
ref
2075
remove
cons
nil
cons
cons
nil
cons
cons
nil
668
remove
110
remove
cons
670
remove
107
remove
cons
nil
cons
cons
nil
cons
cons
1318
remove
subst
2078
def
subst
6
ref
235
ref
151
ref
28
ref
2073
ref
appTerm
appTerm
appTerm
1627
ref
appTerm
absTerm
2079
def
2072
ref
appTerm
2080
def
betaConv
1797
ref
2073
ref
appTerm
2081
def
betaConv
nil
1918
remove
77
ref
2081
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
134
ref
subst
34
ref
5
ref
1797
remove
nil
cons
cons
135
ref
2073
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
145
ref
subst
eqMp
eqMp
nil
76
ref
9
ref
2079
ref
appTerm
nil
cons
cons
77
ref
2080
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
134
ref
subst
proveHyp
34
ref
5
ref
2079
remove
nil
cons
cons
135
ref
2072
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
145
ref
subst
eqMp
eqMp
eqMp
eqMp
subst
eqMp
nil
76
ref
2069
remove
cons
2082
def
168
ref
cons
nil
cons
cons
134
ref
subst
proveHyp
nil
2082
remove
nil
cons
nil
cons
cons
14
ref
1654
ref
appTerm
refl
108
remove
1406
ref
subst
appThm
nil
195
ref
1655
remove
cons
nil
cons
nil
cons
cons
273
ref
subst
trans
sym
62
ref
eqMp
2083
def
subst
nil
114
ref
1884
remove
cons
115
ref
1888
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
2084
def
181
ref
subst
2085
def
nil
114
ref
1869
remove
cons
115
ref
1887
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
2086
def
181
ref
subst
proveHyp
eqMp
eqMp
eqMp
nil
114
ref
1804
ref
cons
1407
ref
cons
nil
cons
cons
128
ref
subst
deductAntisym
eqMp
nil
76
ref
1800
remove
nil
cons
2087
def
cons
168
ref
cons
nil
cons
cons
2088
def
95
ref
subst
2088
remove
143
ref
subst
nil
1385
ref
168
ref
cons
nil
cons
cons
2089
def
95
ref
subst
2089
remove
143
ref
subst
1765
remove
134
ref
subst
nil
"_2005"
1
ref
var
2090
def
136
remove
cons
nil
cons
nil
cons
cons
nil
1923
ref
151
ref
27
ref
2090
remove
varTerm
2091
def
appTerm
24
ref
appTerm
2092
def
appTerm
nil
cons
2093
def
cons
1929
ref
280
ref
2091
ref
appTerm
2094
def
nil
cons
2095
def
cons
nil
cons
cons
nil
cons
cons
1979
ref
subst
169
ref
nil
1929
ref
2092
remove
nil
cons
cons
nil
cons
nil
cons
cons
1980
ref
subst
appThm
2094
remove
refl
appThm
trans
nil
77
ref
2095
remove
cons
76
ref
2093
remove
cons
nil
cons
cons
nil
cons
cons
2078
ref
subst
1772
ref
2091
ref
appTerm
2096
def
betaConv
nil
114
ref
1781
remove
cons
115
ref
1777
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
2097
def
128
ref
subst
2098
def
nil
1782
ref
77
ref
2096
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
134
ref
subst
proveHyp
34
ref
5
ref
1772
ref
nil
cons
cons
2099
def
135
ref
2091
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
145
ref
subst
eqMp
eqMp
eqMp
eqMp
subst
eqMp
nil
76
ref
1643
ref
cons
2100
def
168
ref
cons
nil
cons
cons
134
ref
subst
proveHyp
nil
2100
remove
nil
cons
nil
cons
cons
2101
def
2083
ref
subst
2097
remove
181
ref
subst
2102
def
nil
114
ref
267
remove
cons
115
ref
1776
ref
nil
cons
2103
def
cons
nil
cons
cons
nil
cons
cons
2104
def
181
ref
subst
proveHyp
2105
def
eqMp
eqMp
eqMp
nil
1409
remove
1407
ref
cons
nil
cons
cons
128
ref
subst
deductAntisym
eqMp
1395
remove
1396
remove
nil
76
ref
1767
ref
cons
2106
def
nil
cons
nil
cons
cons
2107
def
nil
1667
ref
77
ref
14
ref
78
ref
1654
remove
appTerm
79
ref
appTerm
appTerm
79
ref
appTerm
nil
cons
2108
def
cons
nil
cons
2109
def
cons
nil
cons
cons
2110
def
95
ref
subst
2110
remove
143
ref
subst
14
ref
"_618"
2
ref
var
2111
def
14
ref
78
ref
151
ref
2111
remove
varTerm
2112
def
appTerm
appTerm
2112
ref
appTerm
appTerm
2112
remove
appTerm
absTerm
2113
def
79
ref
appTerm
2114
def
appTerm
refl
2115
def
2113
ref
161
ref
appTerm
betaConv
appThm
64
ref
2114
remove
betaConv
appThm
2116
def
14
ref
78
ref
217
ref
appTerm
161
ref
appTerm
appTerm
161
ref
appTerm
refl
appThm
trans
2113
remove
refl
2117
def
1680
ref
appThm
eqMp
sym
1609
remove
1406
remove
subst
210
remove
1502
ref
subst
trans
eqMp
eqMp
nil
1685
ref
115
ref
2108
ref
cons
nil
cons
2118
def
cons
nil
cons
cons
128
ref
subst
deductAntisym
eqMp
nil
1689
ref
2109
remove
cons
nil
cons
cons
2119
def
95
ref
subst
2119
remove
143
ref
subst
2115
remove
"_616"
2
ref
var
2120
def
14
ref
78
ref
151
ref
2120
remove
varTerm
2121
def
appTerm
appTerm
2121
ref
appTerm
appTerm
2121
remove
appTerm
absTerm
47
ref
appTerm
betaConv
appThm
2116
remove
14
ref
78
ref
1418
ref
appTerm
47
ref
appTerm
appTerm
47
ref
appTerm
refl
appThm
trans
2117
remove
1694
ref
appThm
eqMp
sym
1616
remove
730
remove
subst
eqMp
eqMp
nil
1698
ref
2118
remove
cons
nil
cons
cons
128
ref
subst
deductAntisym
eqMp
1700
ref
nil
1698
ref
1701
ref
1423
ref
2108
remove
cons
nil
cons
cons
cons
nil
cons
cons
1437
ref
subst
proveHyp
proveHyp
proveHyp
subst
nil
76
ref
1843
ref
nil
cons
2122
def
cons
2123
def
1768
ref
cons
nil
cons
cons
2124
def
95
ref
subst
2124
remove
143
ref
subst
nil
2123
ref
77
ref
1847
ref
nil
cons
2125
def
cons
nil
cons
2126
def
cons
nil
cons
cons
134
ref
subst
nil
"_1992"
1
ref
var
2127
def
159
ref
cons
nil
cons
nil
cons
cons
2128
def
nil
1923
ref
280
ref
2127
remove
varTerm
2129
def
appTerm
2130
def
nil
cons
2131
def
cons
1929
ref
27
ref
1827
ref
2129
ref
appTerm
2132
def
appTerm
2129
ref
appTerm
2133
def
nil
cons
cons
nil
cons
cons
nil
cons
cons
1979
ref
subst
10
ref
84
ref
235
ref
1847
ref
appTerm
282
ref
appTerm
appTerm
235
ref
1850
ref
appTerm
282
ref
appTerm
appTerm
absTerm
2134
def
2129
ref
appTerm
2135
def
betaConv
275
ref
10
ref
nil
1929
ref
2125
ref
cons
1923
ref
1850
remove
nil
cons
cons
1988
ref
1767
ref
cons
nil
cons
cons
cons
nil
cons
cons
nil
1936
ref
77
ref
14
ref
235
ref
84
ref
1932
ref
appTerm
1938
ref
appTerm
2136
def
appTerm
1989
ref
appTerm
appTerm
84
ref
1991
remove
appTerm
235
ref
1938
ref
appTerm
2137
def
1989
ref
appTerm
2138
def
appTerm
appTerm
nil
cons
2139
def
cons
nil
cons
2140
def
cons
nil
cons
cons
2141
def
95
ref
subst
2141
remove
143
ref
subst
14
ref
"_586"
2
ref
var
2142
def
14
ref
235
ref
84
ref
2142
remove
varTerm
2143
def
appTerm
1938
ref
appTerm
appTerm
1989
ref
appTerm
appTerm
84
ref
235
ref
2143
remove
appTerm
1989
ref
appTerm
appTerm
2138
ref
appTerm
appTerm
absTerm
2144
def
1932
ref
appTerm
2145
def
appTerm
refl
2146
def
2144
ref
161
ref
appTerm
betaConv
appThm
64
ref
2145
remove
betaConv
appThm
2147
def
14
ref
235
ref
508
ref
1938
ref
appTerm
2148
def
appTerm
1989
ref
appTerm
appTerm
84
ref
2001
remove
appTerm
2138
ref
appTerm
appTerm
refl
appThm
trans
2144
remove
refl
2149
def
1953
ref
appThm
eqMp
sym
64
ref
245
ref
1955
ref
512
ref
subst
2150
def
appThm
1989
ref
refl
2151
def
appThm
2007
ref
trans
appThm
274
ref
2007
remove
appThm
2138
ref
refl
2152
def
appThm
appThm
sym
nil
76
ref
14
ref
1989
ref
appTerm
2153
def
161
ref
appTerm
2154
def
nil
cons
2155
def
cons
77
ref
2153
ref
84
ref
1989
ref
appTerm
2156
def
2138
ref
appTerm
appTerm
nil
cons
2157
def
cons
nil
cons
2158
def
cons
nil
cons
cons
2159
def
95
ref
subst
2159
remove
143
ref
subst
14
ref
"_590"
2
ref
var
2160
def
14
ref
2160
remove
varTerm
2161
def
appTerm
84
ref
2161
ref
appTerm
2137
ref
2161
remove
appTerm
appTerm
appTerm
absTerm
2162
def
1989
ref
appTerm
2163
def
appTerm
refl
2164
def
2162
ref
161
ref
appTerm
betaConv
appThm
64
ref
2163
remove
betaConv
appThm
2165
def
190
remove
508
ref
2137
ref
161
ref
appTerm
2166
def
appTerm
2167
def
appTerm
refl
appThm
trans
2162
remove
refl
2168
def
2154
remove
assume
appThm
eqMp
sym
nil
57
ref
2167
remove
nil
cons
cons
nil
cons
nil
cons
cons
216
remove
subst
407
ref
nil
57
ref
2166
remove
nil
cons
cons
nil
cons
nil
cons
cons
512
ref
subst
appThm
218
ref
trans
trans
sym
62
ref
eqMp
eqMp
eqMp
nil
114
ref
2155
ref
cons
115
ref
2157
ref
cons
nil
cons
2169
def
cons
nil
cons
cons
128
ref
subst
deductAntisym
eqMp
nil
76
ref
2153
remove
47
ref
appTerm
2170
def
nil
cons
2171
def
cons
2158
remove
cons
nil
cons
cons
2172
def
95
ref
subst
2172
remove
143
ref
subst
2164
remove
"_588"
2
ref
var
2173
def
14
ref
2173
remove
varTerm
2174
def
appTerm
84
ref
2174
ref
appTerm
2137
ref
2174
remove
appTerm
appTerm
appTerm
absTerm
47
ref
appTerm
betaConv
appThm
2165
remove
1322
remove
609
ref
2137
remove
47
ref
appTerm
2175
def
appTerm
2176
def
appTerm
refl
appThm
trans
2168
remove
2170
remove
assume
appThm
eqMp
sym
nil
57
ref
2176
remove
nil
cons
cons
nil
cons
nil
cons
cons
1326
remove
subst
nil
57
ref
2175
remove
nil
cons
cons
nil
cons
nil
cons
cons
613
ref
subst
1955
ref
370
remove
subst
trans
trans
sym
62
ref
eqMp
eqMp
eqMp
nil
114
ref
2171
remove
cons
2177
def
2169
remove
cons
nil
cons
cons
128
ref
subst
deductAntisym
eqMp
1618
remove
1989
ref
appTerm
2178
def
betaConv
1621
remove
nil
1622
remove
77
ref
2178
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
134
ref
subst
proveHyp
193
ref
1623
remove
195
ref
2005
remove
cons
nil
cons
cons
nil
cons
cons
145
ref
subst
eqMp
eqMp
nil
2177
remove
115
ref
2155
remove
cons
1423
ref
2157
remove
cons
nil
cons
cons
cons
nil
cons
cons
1437
ref
subst
proveHyp
proveHyp
proveHyp
eqMp
eqMp
eqMp
nil
1962
ref
115
ref
2139
ref
cons
nil
cons
2179
def
cons
nil
cons
cons
128
ref
subst
deductAntisym
eqMp
nil
1966
ref
2140
remove
cons
nil
cons
cons
2180
def
95
ref
subst
2180
remove
143
ref
subst
2146
remove
"_584"
2
ref
var
2181
def
14
ref
235
ref
84
ref
2181
remove
varTerm
2182
def
appTerm
1938
ref
appTerm
appTerm
1989
ref
appTerm
appTerm
84
ref
235
ref
2182
remove
appTerm
1989
ref
appTerm
appTerm
2138
ref
appTerm
appTerm
absTerm
47
ref
appTerm
betaConv
appThm
2147
remove
14
ref
235
ref
609
ref
1938
ref
appTerm
2183
def
appTerm
1989
ref
appTerm
appTerm
84
ref
2012
remove
appTerm
2138
ref
appTerm
appTerm
refl
appThm
trans
2149
remove
1971
ref
appThm
eqMp
sym
64
ref
245
ref
1955
ref
613
ref
subst
2184
def
appThm
2151
ref
appThm
appThm
274
ref
2013
remove
appThm
2152
remove
appThm
nil
57
ref
2138
remove
nil
cons
2185
def
cons
nil
cons
nil
cons
cons
613
remove
subst
trans
appThm
nil
195
ref
2185
remove
cons
nil
cons
nil
cons
cons
273
ref
subst
trans
sym
62
ref
eqMp
eqMp
eqMp
nil
1974
ref
2179
remove
cons
nil
cons
cons
128
ref
subst
deductAntisym
eqMp
1977
ref
nil
1974
ref
1978
ref
1423
ref
2139
remove
cons
nil
cons
cons
cons
nil
cons
cons
1437
ref
subst
proveHyp
proveHyp
proveHyp
subst
absThm
appThm
2085
remove
2086
remove
128
ref
subst
proveHyp
eqMp
nil
76
ref
9
ref
2134
ref
appTerm
nil
cons
cons
77
ref
2135
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
134
ref
subst
proveHyp
34
ref
5
ref
2134
remove
nil
cons
cons
135
ref
2129
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
145
ref
subst
eqMp
eqMp
2186
def
nil
114
ref
235
ref
2133
remove
appTerm
2130
ref
appTerm
nil
cons
cons
115
ref
235
ref
151
ref
280
ref
2132
remove
appTerm
2187
def
appTerm
2188
def
appTerm
2130
ref
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
2189
def
128
ref
subst
proveHyp
eqMp
subst
eqMp
nil
76
ref
2125
ref
cons
77
ref
1849
ref
nil
cons
2190
def
cons
nil
cons
2191
def
cons
nil
cons
cons
2192
def
134
ref
subst
proveHyp
nil
"_1998"
1
ref
var
2193
def
1828
ref
nil
cons
2194
def
cons
nil
cons
nil
cons
cons
nil
1923
ref
151
ref
27
ref
2193
remove
varTerm
2195
def
appTerm
24
ref
appTerm
2196
def
appTerm
nil
cons
2197
def
cons
1929
ref
280
ref
2195
ref
appTerm
2198
def
nil
cons
2199
def
cons
nil
cons
cons
nil
cons
cons
1979
ref
subst
169
ref
nil
1929
ref
2196
remove
nil
cons
cons
nil
cons
nil
cons
cons
1980
ref
subst
appThm
2198
remove
refl
appThm
trans
nil
77
ref
2199
remove
cons
76
ref
2197
remove
cons
nil
cons
cons
nil
cons
cons
2078
ref
subst
1772
remove
2195
ref
appTerm
2200
def
betaConv
2098
remove
nil
1782
remove
77
ref
2200
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
134
ref
subst
proveHyp
34
ref
2099
remove
135
ref
2195
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
145
ref
subst
eqMp
eqMp
eqMp
eqMp
subst
eqMp
nil
76
ref
2190
ref
cons
1768
remove
cons
nil
cons
cons
134
ref
subst
proveHyp
2128
remove
nil
1923
ref
2188
remove
nil
cons
2201
def
cons
1929
ref
2131
ref
cons
nil
cons
cons
nil
cons
cons
1979
ref
subst
169
ref
nil
1929
ref
2187
remove
nil
cons
cons
nil
cons
nil
cons
cons
1980
ref
subst
appThm
2130
remove
refl
appThm
trans
nil
77
ref
2131
remove
cons
76
ref
2201
remove
cons
nil
cons
cons
nil
cons
cons
2078
ref
subst
2186
remove
2189
remove
181
ref
subst
proveHyp
eqMp
eqMp
subst
eqMp
eqMp
nil
114
ref
2122
ref
cons
115
ref
1767
ref
cons
nil
cons
cons
nil
cons
cons
128
ref
subst
deductAntisym
eqMp
eqMp
nil
2106
ref
168
ref
cons
nil
cons
cons
2202
def
134
ref
subst
2203
def
proveHyp
2107
remove
2083
ref
subst
14
ref
"_2024"
1
ref
var
2204
def
151
ref
280
ref
2204
remove
varTerm
appTerm
appTerm
absTerm
2205
def
21
ref
appTerm
2206
def
appTerm
refl
1866
ref
appThm
64
ref
2206
remove
betaConv
2207
def
appThm
1843
ref
refl
2208
def
appThm
trans
2205
remove
refl
1400
remove
appThm
eqMp
2105
remove
eqMp
eqMp
eqMp
eqMp
1408
remove
deductAntisym
eqMp
2102
remove
2104
remove
128
ref
subst
proveHyp
nil
1391
remove
1420
remove
1423
ref
167
remove
cons
nil
cons
2209
def
cons
cons
nil
cons
cons
1437
ref
subst
proveHyp
proveHyp
proveHyp
eqMp
nil
114
ref
2087
remove
cons
2210
def
1407
ref
cons
nil
cons
cons
128
ref
subst
deductAntisym
eqMp
2084
remove
128
ref
subst
nil
2210
remove
115
ref
1804
remove
cons
2209
remove
cons
cons
nil
cons
cons
1437
ref
subst
proveHyp
proveHyp
proveHyp
eqMp
nil
114
ref
1916
remove
cons
1407
ref
cons
nil
cons
cons
128
ref
subst
deductAntisym
eqMp
eqMp
eqMp
nil
114
ref
1914
remove
cons
1407
ref
cons
nil
cons
cons
128
ref
subst
deductAntisym
eqMp
eqMp
absThm
eqMp
nil
76
ref
9
ref
135
ref
78
ref
1890
ref
135
ref
varTerm
2211
def
appTerm
appTerm
161
ref
appTerm
absTerm
appTerm
nil
cons
cons
77
ref
78
ref
1891
remove
appTerm
161
ref
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
134
ref
subst
proveHyp
34
ref
5
ref
1890
remove
nil
cons
cons
1407
ref
cons
nil
cons
cons
nil
76
ref
40
ref
46
ref
78
ref
140
remove
appTerm
2212
def
119
ref
appTerm
absTerm
2213
def
appTerm
2214
def
nil
cons
2215
def
cons
2216
def
77
ref
78
ref
1747
ref
42
ref
appTerm
2217
def
appTerm
2218
def
119
ref
appTerm
nil
cons
2219
def
cons
nil
cons
cons
nil
cons
cons
2220
def
95
ref
subst
2220
remove
143
ref
subst
nil
76
ref
2217
ref
nil
cons
2221
def
cons
2222
def
77
ref
119
ref
nil
cons
2223
def
cons
nil
cons
2224
def
cons
nil
cons
cons
2225
def
95
ref
subst
2225
remove
143
ref
subst
nil
2216
ref
2224
ref
cons
nil
cons
cons
2226
def
134
ref
subst
77
ref
78
ref
40
ref
46
ref
2212
remove
81
ref
appTerm
absTerm
appTerm
appTerm
81
ref
appTerm
absTerm
2227
def
119
ref
appTerm
2228
def
betaConv
nil
2222
remove
77
ref
191
ref
2227
ref
appTerm
2229
def
nil
cons
2230
def
cons
nil
cons
cons
nil
cons
cons
2231
def
134
ref
subst
14
ref
2217
remove
appTerm
2232
def
refl
44
ref
191
ref
77
ref
78
ref
40
ref
46
ref
78
ref
1748
remove
appTerm
81
ref
appTerm
absTerm
appTerm
appTerm
81
ref
appTerm
absTerm
appTerm
absTerm
2233
def
42
remove
appTerm
betaConv
appThm
nil
52
remove
1747
ref
appTerm
2233
remove
appTerm
axiom
53
remove
appThm
eqMp
2234
def
nil
76
ref
2232
remove
2229
ref
appTerm
nil
cons
cons
77
ref
2218
remove
2229
remove
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
134
ref
subst
proveHyp
2231
remove
nil
76
ref
171
remove
nil
cons
2235
def
cons
77
ref
177
ref
cons
nil
cons
cons
nil
cons
cons
2236
def
95
ref
subst
2236
remove
143
ref
subst
176
remove
eqMp
nil
114
ref
2235
remove
cons
115
ref
177
remove
cons
nil
cons
cons
nil
cons
cons
128
ref
subst
deductAntisym
eqMp
subst
eqMp
eqMp
nil
76
ref
2230
remove
cons
77
ref
2228
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
134
ref
subst
proveHyp
193
ref
194
ref
2227
remove
nil
cons
cons
195
ref
2223
ref
cons
nil
cons
cons
nil
cons
cons
145
ref
subst
eqMp
eqMp
eqMp
eqMp
nil
114
ref
2221
remove
cons
115
ref
2223
remove
cons
nil
cons
2237
def
cons
nil
cons
cons
128
ref
subst
deductAntisym
eqMp
eqMp
nil
114
ref
2215
remove
cons
2238
def
115
ref
2219
remove
cons
nil
cons
cons
nil
cons
cons
128
ref
subst
deductAntisym
eqMp
2239
def
subst
eqMp
eqMp
eqMp
nil
114
ref
1910
remove
cons
1407
ref
cons
nil
cons
cons
128
ref
subst
deductAntisym
eqMp
eqMp
absThm
eqMp
nil
76
ref
7
remove
1823
remove
constTerm
2240
def
"x"
19
remove
var
2241
def
78
ref
1892
ref
2241
ref
varTerm
2242
def
appTerm
appTerm
161
ref
appTerm
absTerm
appTerm
nil
cons
cons
77
ref
78
ref
1893
remove
appTerm
161
ref
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
134
ref
subst
proveHyp
1854
ref
1906
ref
1892
remove
nil
cons
cons
1407
ref
cons
nil
cons
cons
2239
ref
subst
eqMp
eqMp
eqMp
nil
114
ref
1904
remove
cons
1407
ref
cons
nil
cons
cons
128
ref
subst
deductAntisym
eqMp
eqMp
absThm
eqMp
nil
76
ref
9
ref
135
ref
78
ref
1894
ref
2211
ref
appTerm
appTerm
161
ref
appTerm
absTerm
appTerm
nil
cons
cons
77
ref
78
ref
1895
remove
appTerm
161
ref
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
134
ref
subst
proveHyp
34
ref
5
ref
1894
remove
nil
cons
cons
1407
ref
cons
nil
cons
cons
2239
ref
subst
eqMp
eqMp
eqMp
nil
114
ref
1900
remove
cons
1407
ref
cons
nil
cons
cons
128
ref
subst
deductAntisym
eqMp
eqMp
absThm
eqMp
nil
76
ref
9
ref
135
ref
78
ref
1896
ref
2211
ref
appTerm
appTerm
161
ref
appTerm
absTerm
appTerm
nil
cons
cons
77
ref
78
ref
1897
remove
appTerm
161
ref
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
134
ref
subst
proveHyp
34
ref
5
ref
1896
remove
nil
cons
cons
1407
ref
cons
nil
cons
cons
2239
ref
subst
eqMp
eqMp
eqMp
nil
114
ref
1663
remove
cons
1407
ref
cons
nil
cons
cons
128
ref
subst
deductAntisym
eqMp
eqMp
eqMp
nil
114
ref
1660
remove
cons
1407
ref
cons
nil
cons
cons
128
ref
subst
deductAntisym
eqMp
eqMp
eqMp
eqMp
2243
def
eqMp
absThm
eqMp
nil
288
ref
1633
remove
appTerm
thm
nil
293
ref
278
ref
14
ref
1761
ref
284
ref
appTerm
2244
def
appTerm
1761
ref
10
ref
84
ref
282
remove
appTerm
2245
def
9
ref
6
ref
1410
ref
1776
ref
appTerm
absTerm
2246
def
appTerm
2247
def
appTerm
2248
def
absTerm
2249
def
appTerm
2250
def
appTerm
2251
def
absTerm
2252
def
nil
cons
cons
nil
cons
nil
cons
cons
1634
ref
subst
278
ref
nil
57
ref
2251
remove
nil
cons
cons
nil
cons
nil
cons
cons
63
ref
subst
nil
76
ref
2244
ref
nil
cons
2253
def
cons
2254
def
77
ref
2250
ref
nil
cons
2255
def
cons
nil
cons
cons
nil
cons
cons
182
ref
subst
nil
1929
ref
2253
ref
cons
1923
ref
2255
ref
cons
nil
cons
cons
nil
cons
cons
nil
1936
ref
77
ref
14
ref
78
ref
1932
ref
appTerm
1938
ref
appTerm
appTerm
1941
ref
151
ref
1932
ref
appTerm
2256
def
appTerm
appTerm
nil
cons
2257
def
cons
nil
cons
2258
def
cons
nil
cons
cons
2259
def
95
ref
subst
2259
remove
143
ref
subst
14
ref
"_416"
2
ref
var
2260
def
14
ref
78
ref
2260
remove
varTerm
2261
def
appTerm
1938
ref
appTerm
appTerm
1941
ref
151
ref
2261
remove
appTerm
appTerm
appTerm
absTerm
2262
def
1932
ref
appTerm
2263
def
appTerm
refl
2264
def
2262
ref
161
ref
appTerm
betaConv
appThm
64
ref
2263
remove
betaConv
appThm
2265
def
14
ref
186
remove
1938
ref
appTerm
appTerm
1941
ref
217
remove
appTerm
appTerm
refl
appThm
trans
2262
remove
refl
2266
def
1953
ref
appThm
eqMp
sym
64
ref
1955
ref
799
ref
subst
appThm
1941
ref
refl
2267
def
218
ref
appThm
1973
remove
trans
appThm
1327
ref
trans
sym
62
ref
eqMp
eqMp
eqMp
nil
1962
ref
115
ref
2257
ref
cons
nil
cons
2268
def
cons
nil
cons
cons
128
ref
subst
deductAntisym
eqMp
nil
1966
ref
2258
remove
cons
nil
cons
cons
2269
def
95
ref
subst
2269
remove
143
ref
subst
2264
remove
"_414"
2
ref
var
2270
def
14
ref
78
ref
2270
remove
varTerm
2271
def
appTerm
1938
ref
appTerm
appTerm
1941
ref
151
ref
2271
remove
appTerm
appTerm
appTerm
absTerm
47
ref
appTerm
betaConv
appThm
2265
remove
14
ref
682
remove
1938
ref
appTerm
appTerm
1941
remove
1418
remove
appTerm
appTerm
refl
appThm
trans
2266
remove
1971
ref
appThm
eqMp
sym
64
ref
1955
remove
686
ref
subst
appThm
2267
remove
1419
remove
appThm
1959
remove
trans
appThm
sym
14
ref
1938
ref
appTerm
refl
1960
remove
appThm
1961
remove
trans
sym
62
ref
eqMp
eqMp
eqMp
eqMp
nil
1974
ref
2268
remove
cons
nil
cons
cons
128
ref
subst
deductAntisym
eqMp
1977
ref
nil
1974
ref
1978
ref
1423
ref
2257
remove
cons
nil
cons
cons
cons
nil
cons
cons
1437
ref
subst
proveHyp
proveHyp
proveHyp
2272
def
subst
sym
169
ref
64
ref
407
ref
1762
ref
10
ref
2249
ref
24
ref
appTerm
betaConv
2273
def
absThm
appThm
appThm
appThm
275
ref
10
ref
407
ref
2273
remove
appThm
absThm
appThm
appThm
nil
278
ref
2249
remove
nil
cons
cons
nil
cons
nil
cons
cons
36
ref
44
remove
14
ref
151
ref
1806
remove
appTerm
appTerm
40
remove
1751
remove
appTerm
appTerm
absTerm
2274
def
45
remove
appTerm
2275
def
betaConv
nil
1754
ref
2274
ref
appTerm
2276
def
axiom
nil
76
ref
2276
remove
nil
cons
cons
77
ref
2275
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
134
ref
subst
proveHyp
1756
ref
1757
ref
2274
remove
nil
cons
cons
1759
remove
cons
nil
cons
cons
145
ref
subst
eqMp
eqMp
subst
2277
def
subst
eqMp
appThm
2277
ref
appThm
sym
nil
76
ref
9
ref
10
ref
151
ref
2248
remove
appTerm
absTerm
appTerm
2278
def
nil
cons
2279
def
cons
77
ref
9
ref
1844
ref
appTerm
nil
cons
2280
def
cons
nil
cons
2281
def
cons
nil
cons
cons
2282
def
95
ref
subst
2282
remove
143
ref
subst
nil
5
ref
10
ref
78
ref
2247
ref
appTerm
1843
ref
appTerm
2283
def
absTerm
2284
def
nil
cons
cons
nil
cons
nil
cons
cons
56
ref
subst
10
ref
nil
57
ref
2283
remove
nil
cons
cons
nil
cons
nil
cons
cons
63
ref
subst
nil
76
ref
2247
ref
nil
cons
2285
def
cons
77
ref
2122
ref
cons
nil
cons
cons
nil
cons
cons
2286
def
95
ref
subst
2286
remove
143
ref
subst
nil
114
ref
1767
remove
cons
2287
def
nil
cons
nil
cons
cons
1392
remove
subst
2202
ref
95
ref
subst
2202
remove
143
ref
subst
275
ref
10
ref
nil
2106
ref
77
ref
2285
ref
cons
nil
cons
cons
nil
cons
cons
nil
1667
remove
77
ref
14
ref
151
ref
86
remove
appTerm
appTerm
1703
remove
1668
ref
appTerm
appTerm
nil
cons
2288
def
cons
nil
cons
2289
def
cons
nil
cons
cons
2290
def
95
ref
subst
2290
remove
143
ref
subst
14
ref
"_530"
2
ref
var
2291
def
14
ref
151
ref
84
ref
2291
remove
varTerm
2292
def
appTerm
81
ref
appTerm
appTerm
appTerm
235
ref
151
ref
2292
remove
appTerm
appTerm
1668
ref
appTerm
appTerm
absTerm
2293
def
79
ref
appTerm
2294
def
appTerm
refl
2295
def
2293
ref
161
ref
appTerm
betaConv
appThm
64
ref
2294
remove
betaConv
appThm
2296
def
14
ref
151
ref
508
remove
81
ref
appTerm
appTerm
appTerm
1714
ref
1668
ref
appTerm
appTerm
refl
appThm
trans
2293
remove
refl
2297
def
1680
remove
appThm
eqMp
sym
64
ref
407
ref
111
remove
512
remove
subst
appThm
218
ref
trans
appThm
1717
ref
2046
ref
appThm
2033
remove
trans
appThm
1327
ref
trans
sym
62
ref
eqMp
eqMp
eqMp
nil
1685
remove
115
ref
2288
ref
cons
nil
cons
2298
def
cons
nil
cons
cons
128
ref
subst
deductAntisym
eqMp
nil
1689
remove
2289
remove
cons
nil
cons
cons
2299
def
95
ref
subst
2299
remove
143
ref
subst
2295
remove
"_528"
2
ref
var
2300
def
14
ref
151
ref
84
ref
2300
remove
varTerm
2301
def
appTerm
81
ref
appTerm
appTerm
appTerm
235
ref
151
ref
2301
remove
appTerm
appTerm
1668
ref
appTerm
appTerm
absTerm
47
ref
appTerm
betaConv
appThm
2296
remove
14
ref
151
ref
609
remove
81
remove
appTerm
appTerm
appTerm
1724
ref
1668
remove
appTerm
appTerm
refl
appThm
trans
2297
remove
1694
remove
appThm
eqMp
sym
64
ref
407
ref
2034
remove
appThm
appThm
1726
ref
2046
remove
appThm
2028
remove
trans
appThm
1697
remove
trans
sym
62
ref
eqMp
eqMp
eqMp
nil
1698
ref
2298
remove
cons
nil
cons
cons
128
ref
subst
deductAntisym
eqMp
1700
remove
nil
1698
remove
1701
remove
1423
ref
2288
remove
cons
nil
cons
cons
cons
nil
cons
cons
1437
ref
subst
proveHyp
proveHyp
proveHyp
subst
245
ref
2208
remove
appThm
2302
def
nil
5
ref
2246
ref
nil
cons
cons
nil
cons
nil
cons
cons
1760
remove
subst
1762
ref
6
ref
407
ref
2246
remove
21
ref
appTerm
betaConv
appThm
nil
1385
remove
77
ref
2103
remove
cons
nil
cons
cons
nil
cons
cons
2303
def
1702
remove
subst
929
remove
2101
remove
1656
remove
subst
appThm
trans
trans
absThm
appThm
trans
appThm
trans
absThm
appThm
275
ref
10
ref
64
ref
2302
ref
1762
ref
6
ref
6
ref
562
remove
1627
ref
appTerm
2304
def
absTerm
2305
def
21
ref
appTerm
betaConv
2306
def
absThm
appThm
appThm
appThm
1762
ref
6
ref
2302
remove
2306
remove
appThm
absThm
appThm
appThm
nil
1780
remove
2305
remove
nil
cons
cons
2123
remove
nil
cons
cons
nil
cons
cons
36
remove
1783
remove
14
ref
2017
ref
1787
remove
appTerm
appTerm
1747
remove
46
remove
2017
remove
1785
remove
appTerm
absTerm
appTerm
appTerm
absTerm
2307
def
1784
remove
appTerm
2308
def
betaConv
76
ref
1754
remove
2307
ref
appTerm
2309
def
absTerm
2310
def
79
remove
appTerm
2311
def
betaConv
nil
191
ref
2310
ref
appTerm
2312
def
axiom
nil
76
ref
2312
remove
nil
cons
cons
77
ref
2311
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
134
ref
subst
proveHyp
193
ref
194
ref
2310
remove
nil
cons
cons
1657
remove
cons
nil
cons
cons
145
ref
subst
eqMp
eqMp
nil
76
ref
2309
remove
nil
cons
cons
77
ref
2308
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
134
ref
subst
proveHyp
1756
remove
1757
remove
2307
remove
nil
cons
cons
1794
remove
cons
nil
cons
cons
145
ref
subst
eqMp
eqMp
subst
subst
eqMp
absThm
appThm
64
ref
275
ref
10
ref
1762
ref
6
ref
10
ref
6
ref
235
ref
1843
remove
appTerm
2313
def
2304
remove
appTerm
absTerm
2314
def
absTerm
2315
def
24
ref
appTerm
betaConv
2316
def
1821
ref
appThm
2314
ref
21
ref
appTerm
betaConv
trans
absThm
appThm
absThm
appThm
appThm
1825
remove
1826
ref
275
ref
10
ref
2316
remove
1829
remove
appThm
2314
remove
1828
remove
appTerm
betaConv
trans
absThm
appThm
absThm
appThm
appThm
nil
1830
remove
2315
remove
nil
cons
cons
nil
cons
nil
cons
cons
1842
remove
subst
eqMp
trans
trans
2278
remove
assume
eqMp
nil
76
ref
1824
remove
1826
ref
9
ref
10
ref
2313
ref
1848
remove
1849
ref
appTerm
2317
def
appTerm
absTerm
appTerm
2318
def
absTerm
2319
def
appTerm
2320
def
nil
cons
cons
168
ref
cons
nil
cons
cons
134
ref
subst
proveHyp
nil
1906
ref
1826
ref
78
ref
2319
ref
1827
ref
appTerm
2321
def
appTerm
161
ref
appTerm
2322
def
absTerm
nil
cons
cons
nil
cons
nil
cons
cons
1909
remove
subst
1826
remove
nil
57
ref
2322
remove
nil
cons
cons
nil
cons
nil
cons
cons
63
ref
subst
nil
76
ref
2321
ref
nil
cons
2323
def
cons
168
ref
cons
nil
cons
cons
2324
def
95
ref
subst
2324
remove
143
ref
subst
2321
ref
betaConv
2321
remove
assume
eqMp
nil
76
ref
2318
ref
nil
cons
2325
def
cons
168
ref
cons
nil
cons
cons
2326
def
134
ref
subst
proveHyp
2326
ref
95
ref
subst
2326
remove
143
ref
subst
nil
2106
ref
2126
remove
cons
nil
cons
cons
134
ref
subst
nil
"_2073"
1
ref
var
2327
def
159
ref
cons
nil
cons
nil
cons
cons
2328
def
nil
1923
ref
151
ref
280
ref
2327
remove
varTerm
2329
def
appTerm
2330
def
appTerm
2331
def
nil
cons
2332
def
cons
2333
def
1929
ref
27
ref
1827
remove
2329
ref
appTerm
2334
def
appTerm
2329
ref
appTerm
2335
def
nil
cons
2336
def
cons
nil
cons
cons
nil
cons
cons
1979
ref
subst
169
ref
nil
1929
ref
2330
remove
nil
cons
cons
nil
cons
nil
cons
cons
1980
remove
subst
appThm
2337
def
2335
ref
refl
appThm
trans
nil
77
ref
2336
remove
cons
76
ref
2332
remove
cons
nil
cons
2338
def
cons
nil
cons
cons
2078
ref
subst
10
ref
84
ref
2313
ref
1847
remove
appTerm
appTerm
2313
remove
1849
remove
appTerm
appTerm
absTerm
2339
def
2329
ref
appTerm
2340
def
betaConv
275
ref
10
ref
nil
1929
ref
2122
ref
cons
1923
ref
2125
remove
cons
1988
ref
2190
remove
cons
nil
cons
cons
cons
nil
cons
cons
2014
remove
subst
absThm
appThm
2318
remove
assume
eqMp
nil
76
ref
9
ref
2339
ref
appTerm
nil
cons
cons
77
ref
2340
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
134
ref
subst
proveHyp
34
ref
5
ref
2339
remove
nil
cons
cons
135
ref
2329
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
145
ref
subst
eqMp
eqMp
2341
def
nil
114
ref
235
ref
2331
remove
appTerm
2342
def
2335
remove
appTerm
nil
cons
cons
115
ref
2342
remove
280
ref
2334
remove
appTerm
2343
def
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
2344
def
128
ref
subst
proveHyp
eqMp
eqMp
subst
eqMp
2192
remove
143
ref
subst
proveHyp
nil
2106
remove
2191
remove
cons
nil
cons
cons
134
ref
subst
2328
remove
nil
2333
remove
1929
ref
2343
ref
nil
cons
2345
def
cons
nil
cons
cons
nil
cons
cons
1979
remove
subst
2337
remove
2343
remove
refl
appThm
trans
nil
77
ref
2345
remove
cons
2338
remove
cons
nil
cons
cons
2078
remove
subst
2341
remove
2344
remove
181
ref
subst
proveHyp
eqMp
eqMp
subst
eqMp
eqMp
nil
76
ref
2317
remove
nil
cons
cons
168
ref
cons
nil
cons
cons
134
ref
subst
proveHyp
nil
"_2072"
1
ref
var
2346
def
2194
remove
cons
nil
cons
nil
cons
cons
nil
1923
ref
280
ref
2346
remove
varTerm
2347
def
appTerm
2348
def
nil
cons
cons
1929
ref
27
ref
2347
ref
appTerm
24
ref
appTerm
2349
def
nil
cons
cons
nil
cons
cons
nil
cons
cons
nil
1936
ref
77
ref
14
ref
235
ref
2256
remove
appTerm
1940
ref
appTerm
appTerm
151
ref
2136
ref
appTerm
appTerm
nil
cons
2350
def
cons
nil
cons
2351
def
cons
nil
cons
cons
2352
def
95
ref
subst
2352
remove
143
ref
subst
14
ref
"_614"
2
ref
var
2353
def
14
ref
235
ref
151
ref
2353
remove
varTerm
2354
def
appTerm
appTerm
1940
ref
appTerm
appTerm
151
ref
84
ref
2354
remove
appTerm
1938
ref
appTerm
appTerm
appTerm
absTerm
2355
def
1932
ref
appTerm
2356
def
appTerm
refl
2357
def
2355
ref
161
ref
appTerm
betaConv
appThm
64
ref
2356
remove
betaConv
appThm
2358
def
14
ref
1714
remove
1940
ref
appTerm
appTerm
151
ref
2148
ref
appTerm
appTerm
refl
appThm
trans
2355
remove
refl
2359
def
1953
ref
appThm
eqMp
sym
64
ref
1717
remove
1940
ref
refl
2360
def
appThm
1958
ref
399
ref
subst
trans
appThm
407
ref
2150
ref
appThm
218
remove
trans
appThm
1327
ref
trans
sym
62
ref
eqMp
eqMp
eqMp
nil
1962
ref
115
ref
2350
ref
cons
nil
cons
2361
def
cons
nil
cons
cons
128
ref
subst
deductAntisym
eqMp
nil
1966
ref
2351
remove
cons
nil
cons
cons
2362
def
95
ref
subst
2362
remove
143
ref
subst
2357
remove
"_612"
2
ref
var
2363
def
14
ref
235
ref
151
ref
2363
remove
varTerm
2364
def
appTerm
appTerm
1940
ref
appTerm
appTerm
151
ref
84
ref
2364
remove
appTerm
1938
ref
appTerm
appTerm
appTerm
absTerm
47
ref
appTerm
betaConv
appThm
2358
remove
14
ref
1724
remove
1940
remove
appTerm
appTerm
151
ref
2183
ref
appTerm
appTerm
refl
appThm
trans
2359
remove
1971
ref
appThm
eqMp
sym
64
ref
1726
remove
2360
remove
appThm
1958
remove
474
ref
subst
trans
appThm
407
ref
2184
ref
appThm
appThm
nil
195
ref
1957
remove
cons
nil
cons
nil
cons
cons
273
ref
subst
trans
sym
62
ref
eqMp
eqMp
eqMp
nil
1974
ref
2361
remove
cons
nil
cons
cons
128
ref
subst
deductAntisym
eqMp
1977
ref
nil
1974
ref
1978
ref
1423
ref
2350
remove
cons
nil
cons
cons
cons
nil
cons
cons
1437
ref
subst
proveHyp
proveHyp
proveHyp
subst
nil
76
ref
84
ref
2349
remove
appTerm
2348
remove
appTerm
nil
cons
cons
nil
cons
nil
cons
cons
2083
ref
subst
trans
6
ref
1771
remove
1776
remove
appTerm
absTerm
2365
def
2347
ref
appTerm
2366
def
betaConv
275
ref
6
ref
2303
remove
1731
remove
subst
absThm
appThm
2367
def
2247
remove
assume
eqMp
nil
76
ref
9
ref
2365
ref
appTerm
2368
def
nil
cons
2369
def
cons
77
ref
2366
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
134
ref
subst
proveHyp
34
ref
5
ref
2365
remove
nil
cons
cons
135
ref
2347
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
145
ref
subst
eqMp
eqMp
eqMp
subst
eqMp
eqMp
nil
114
ref
2325
remove
cons
1407
ref
cons
nil
cons
cons
128
ref
subst
deductAntisym
eqMp
eqMp
eqMp
nil
114
ref
2323
remove
cons
1407
ref
cons
nil
cons
cons
128
ref
subst
deductAntisym
eqMp
eqMp
absThm
eqMp
nil
76
ref
2240
remove
2241
remove
78
ref
2319
ref
2242
remove
appTerm
appTerm
161
ref
appTerm
absTerm
appTerm
nil
cons
cons
77
ref
78
ref
2320
remove
appTerm
161
ref
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
134
ref
subst
proveHyp
1854
remove
1906
remove
2319
remove
nil
cons
cons
1407
ref
cons
nil
cons
cons
2239
ref
subst
eqMp
eqMp
eqMp
nil
2287
ref
1407
ref
cons
nil
cons
cons
128
ref
subst
deductAntisym
eqMp
eqMp
eqMp
nil
114
ref
2285
remove
cons
115
ref
2122
remove
cons
nil
cons
cons
nil
cons
cons
128
ref
subst
deductAntisym
eqMp
eqMp
absThm
eqMp
nil
76
ref
9
ref
2284
remove
appTerm
nil
cons
cons
2281
remove
cons
nil
cons
cons
134
ref
subst
proveHyp
169
ref
275
ref
10
ref
169
ref
275
ref
6
ref
1410
remove
refl
2207
remove
appThm
absThm
appThm
appThm
1866
remove
appThm
absThm
appThm
appThm
275
ref
1867
remove
appThm
appThm
nil
278
ref
1868
ref
cons
nil
cons
nil
cons
cons
2243
remove
subst
eqMp
eqMp
eqMp
nil
114
ref
2279
remove
cons
115
ref
2280
ref
cons
nil
cons
cons
nil
cons
cons
128
ref
subst
deductAntisym
eqMp
eqMp
eqMp
nil
76
ref
78
ref
2244
ref
appTerm
2370
def
2250
ref
appTerm
nil
cons
cons
77
ref
78
ref
2250
ref
appTerm
2244
ref
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
143
ref
subst
proveHyp
nil
76
ref
2255
ref
cons
77
ref
2253
ref
cons
nil
cons
cons
nil
cons
cons
2371
def
95
ref
subst
2371
remove
143
ref
subst
nil
2254
ref
nil
cons
nil
cons
cons
1658
remove
subst
sym
nil
76
ref
151
ref
2244
ref
appTerm
2372
def
nil
cons
2373
def
cons
168
ref
cons
nil
cons
cons
2374
def
95
ref
subst
2374
remove
143
ref
subst
1762
ref
10
ref
274
ref
1769
remove
appThm
2367
remove
appThm
absThm
appThm
2250
remove
assume
eqMp
nil
76
ref
1761
ref
10
ref
2245
remove
2368
remove
appTerm
2375
def
absTerm
2376
def
appTerm
2377
def
nil
cons
cons
168
ref
cons
nil
cons
cons
134
ref
subst
proveHyp
nil
5
ref
10
ref
78
ref
2376
ref
24
ref
appTerm
2378
def
appTerm
161
ref
appTerm
2379
def
absTerm
nil
cons
cons
nil
cons
nil
cons
cons
56
ref
subst
10
ref
nil
57
ref
2379
remove
nil
cons
cons
nil
cons
nil
cons
cons
63
ref
subst
nil
76
ref
2378
ref
nil
cons
2380
def
cons
168
ref
cons
nil
cons
cons
2381
def
95
ref
subst
2381
remove
143
ref
subst
2378
ref
betaConv
2378
remove
assume
eqMp
nil
76
ref
2375
remove
nil
cons
2382
def
cons
168
remove
cons
nil
cons
cons
2383
def
134
ref
subst
proveHyp
2383
ref
95
ref
subst
2383
remove
143
ref
subst
nil
2287
remove
115
ref
2369
remove
cons
nil
cons
cons
nil
cons
cons
128
ref
subst
2203
remove
proveHyp
nil
"_2070"
1
ref
var
2384
def
159
remove
cons
nil
cons
nil
cons
cons
nil
76
ref
280
ref
2384
remove
varTerm
2385
def
appTerm
nil
cons
cons
nil
cons
nil
cons
cons
2083
remove
subst
1844
remove
2385
ref
appTerm
2386
def
betaConv
2277
remove
2372
remove
assume
eqMp
nil
76
ref
2280
remove
cons
77
ref
2386
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
134
ref
subst
proveHyp
34
ref
5
ref
1868
remove
cons
135
ref
2385
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
145
ref
subst
eqMp
eqMp
eqMp
subst
eqMp
eqMp
nil
114
ref
2382
remove
cons
1407
ref
cons
nil
cons
cons
128
ref
subst
deductAntisym
eqMp
eqMp
eqMp
nil
114
ref
2380
remove
cons
1407
ref
cons
nil
cons
cons
128
ref
subst
deductAntisym
eqMp
eqMp
absThm
eqMp
nil
76
ref
9
ref
135
ref
78
ref
2376
ref
2211
ref
appTerm
appTerm
161
ref
appTerm
absTerm
appTerm
nil
cons
cons
77
ref
78
ref
2377
remove
appTerm
161
ref
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
134
ref
subst
proveHyp
34
ref
5
ref
2376
remove
nil
cons
cons
1407
ref
cons
nil
cons
cons
2239
ref
subst
eqMp
eqMp
eqMp
nil
114
ref
2373
remove
cons
1407
remove
cons
nil
cons
cons
128
ref
subst
deductAntisym
eqMp
eqMp
eqMp
nil
114
ref
2255
remove
cons
115
ref
2253
ref
cons
nil
cons
cons
nil
cons
cons
128
ref
subst
deductAntisym
eqMp
eqMp
eqMp
2387
def
eqMp
absThm
eqMp
nil
288
ref
2252
remove
appTerm
thm
nil
293
remove
278
ref
14
ref
84
ref
2244
remove
appTerm
1761
ref
6
ref
9
ref
10
ref
283
ref
487
remove
appTerm
absTerm
appTerm
2388
def
absTerm
2389
def
appTerm
2390
def
appTerm
2391
def
appTerm
1761
ref
6
ref
84
ref
1627
ref
appTerm
2388
ref
appTerm
2392
def
absTerm
2393
def
appTerm
2394
def
appTerm
2395
def
absTerm
2396
def
nil
cons
cons
nil
cons
nil
cons
cons
1634
remove
subst
278
ref
nil
57
ref
2395
remove
nil
cons
cons
nil
cons
nil
cons
cons
63
ref
subst
nil
76
ref
2391
ref
nil
cons
2397
def
cons
77
ref
2394
ref
nil
cons
2398
def
cons
nil
cons
2399
def
cons
nil
cons
cons
2400
def
182
remove
subst
2400
ref
95
ref
subst
2400
remove
143
ref
subst
nil
114
ref
2253
remove
cons
115
ref
2390
ref
nil
cons
2401
def
cons
nil
cons
cons
nil
cons
cons
2402
def
128
ref
subst
2402
remove
181
ref
subst
nil
2254
ref
2399
ref
cons
nil
cons
cons
134
ref
subst
nil
5
ref
"a"
1
ref
var
2403
def
78
ref
284
ref
2403
ref
varTerm
2404
def
appTerm
2405
def
appTerm
2394
ref
appTerm
2406
def
absTerm
nil
cons
cons
nil
cons
nil
cons
cons
56
ref
subst
2403
remove
nil
57
ref
2406
remove
nil
cons
cons
nil
cons
nil
cons
cons
63
ref
subst
nil
76
ref
2405
ref
nil
cons
2407
def
cons
2399
ref
cons
nil
cons
cons
2408
def
95
ref
subst
2408
remove
143
ref
subst
2405
ref
betaConv
2409
def
2405
remove
assume
eqMp
nil
76
ref
280
ref
2404
ref
appTerm
2410
def
nil
cons
2411
def
cons
2412
def
2399
ref
cons
nil
cons
cons
2413
def
134
ref
subst
proveHyp
2413
ref
95
ref
subst
2413
remove
143
ref
subst
64
ref
1762
ref
6
ref
2389
ref
21
ref
appTerm
betaConv
2414
def
absThm
appThm
appThm
1762
remove
6
ref
274
ref
2414
ref
appThm
275
ref
"m'"
1
ref
var
2415
def
78
ref
27
remove
2415
ref
varTerm
2416
def
appTerm
2417
def
21
ref
appTerm
appTerm
2418
def
refl
407
remove
2389
ref
2416
ref
appTerm
betaConv
appThm
appThm
absThm
appThm
appThm
absThm
appThm
appThm
nil
278
ref
2389
remove
nil
cons
2419
def
cons
nil
cons
nil
cons
cons
2387
remove
subst
eqMp
2390
remove
assume
eqMp
nil
76
ref
1761
remove
6
ref
84
ref
2388
ref
appTerm
9
ref
2415
ref
2418
remove
151
ref
9
ref
10
ref
283
ref
383
remove
2416
ref
appTerm
appTerm
absTerm
appTerm
appTerm
2420
def
appTerm
absTerm
appTerm
2421
def
appTerm
2422
def
absTerm
2423
def
appTerm
2424
def
nil
cons
cons
2399
ref
cons
nil
cons
cons
134
ref
subst
proveHyp
nil
5
ref
6
ref
78
ref
2423
ref
21
ref
appTerm
2425
def
appTerm
2394
ref
appTerm
2426
def
absTerm
nil
cons
cons
nil
cons
nil
cons
cons
56
ref
subst
6
ref
nil
57
ref
2426
remove
nil
cons
cons
nil
cons
nil
cons
cons
63
ref
subst
nil
76
ref
2425
ref
nil
cons
2427
def
cons
2399
ref
cons
nil
cons
cons
2428
def
95
ref
subst
2428
remove
143
ref
subst
2425
ref
betaConv
2425
remove
assume
eqMp
nil
76
ref
2422
ref
nil
cons
2429
def
cons
2430
def
2399
remove
cons
nil
cons
cons
2431
def
134
ref
subst
proveHyp
2431
ref
95
ref
subst
2431
remove
143
ref
subst
2393
ref
21
ref
appTerm
2432
def
betaConv
2433
def
sym
nil
2430
remove
77
ref
2392
remove
nil
cons
2434
def
cons
nil
cons
cons
nil
cons
cons
134
ref
subst
nil
1988
remove
1643
ref
cons
1923
ref
2421
remove
nil
cons
cons
1929
ref
2388
ref
nil
cons
2435
def
cons
nil
cons
cons
cons
nil
cons
cons
nil
1936
remove
77
ref
14
ref
78
ref
2136
remove
appTerm
2436
def
2156
ref
1932
ref
appTerm
appTerm
appTerm
2436
remove
1989
ref
appTerm
appTerm
nil
cons
2437
def
cons
nil
cons
2438
def
cons
nil
cons
cons
2439
def
95
ref
subst
2439
remove
143
ref
subst
14
ref
"_2076"
2
ref
var
2440
def
14
ref
78
ref
84
ref
2440
remove
varTerm
2441
def
appTerm
1938
ref
appTerm
appTerm
2442
def
2156
ref
2441
remove
appTerm
appTerm
appTerm
2442
remove
1989
ref
appTerm
appTerm
absTerm
2443
def
1932
remove
appTerm
2444
def
appTerm
refl
2445
def
2443
ref
161
ref
appTerm
betaConv
appThm
64
ref
2444
remove
betaConv
appThm
2446
def
14
ref
78
ref
2148
remove
appTerm
2447
def
2156
ref
161
ref
appTerm
appTerm
appTerm
2447
remove
1989
ref
appTerm
appTerm
refl
appThm
trans
2443
remove
refl
2448
def
1953
remove
appThm
eqMp
sym
64
ref
169
ref
2150
remove
appThm
2449
def
2006
ref
480
remove
subst
appThm
816
remove
trans
appThm
2449
remove
2151
ref
appThm
2006
ref
799
ref
subst
trans
appThm
1327
remove
trans
sym
62
ref
eqMp
eqMp
eqMp
nil
1962
remove
115
ref
2437
ref
cons
nil
cons
2450
def
cons
nil
cons
cons
128
ref
subst
deductAntisym
eqMp
nil
1966
remove
2438
remove
cons
nil
cons
cons
2451
def
95
ref
subst
2451
remove
143
ref
subst
2445
remove
"_2074"
2
remove
var
2452
def
14
ref
78
ref
84
ref
2452
remove
varTerm
2453
def
appTerm
1938
ref
appTerm
appTerm
2454
def
2156
ref
2453
remove
appTerm
appTerm
appTerm
2454
remove
1989
ref
appTerm
appTerm
absTerm
47
ref
appTerm
betaConv
appThm
2446
remove
14
ref
78
ref
2183
remove
appTerm
2455
def
2156
remove
47
remove
appTerm
appTerm
appTerm
2455
remove
1989
ref
appTerm
appTerm
refl
appThm
trans
2448
remove
1971
remove
appThm
eqMp
sym
64
ref
169
ref
2184
remove
appThm
2456
def
2006
remove
775
ref
subst
appThm
appThm
2456
remove
2151
remove
appThm
appThm
nil
195
ref
78
ref
1938
remove
appTerm
1989
remove
appTerm
nil
cons
cons
nil
cons
nil
cons
cons
273
remove
subst
trans
sym
62
ref
eqMp
eqMp
eqMp
nil
1974
ref
2450
remove
cons
nil
cons
cons
128
ref
subst
deductAntisym
eqMp
1977
remove
nil
1974
remove
1978
remove
1423
ref
2437
remove
cons
nil
cons
cons
cons
nil
cons
cons
1437
ref
subst
proveHyp
proveHyp
proveHyp
subst
sym
6
ref
78
ref
2422
remove
appTerm
1627
ref
appTerm
2457
def
absTerm
2458
def
21
ref
appTerm
2459
def
betaConv
2460
def
169
ref
274
ref
275
ref
10
ref
283
ref
refl
427
remove
146
remove
subst
appThm
absThm
appThm
appThm
275
ref
2415
ref
169
ref
nil
6
ref
2416
remove
nil
cons
cons
nil
cons
nil
cons
cons
209
remove
subst
appThm
2420
ref
refl
appThm
nil
57
ref
2420
ref
nil
cons
cons
nil
cons
nil
cons
cons
799
ref
subst
trans
absThm
appThm
334
remove
trans
appThm
nil
57
ref
9
ref
10
ref
283
ref
1575
remove
appTerm
absTerm
2461
def
appTerm
nil
cons
2462
def
cons
nil
cons
nil
cons
cons
775
remove
subst
trans
appThm
280
ref
refl
2463
def
2015
remove
appThm
2464
def
appThm
sym
nil
76
ref
2462
ref
cons
2465
def
77
ref
281
ref
nil
cons
2466
def
cons
nil
cons
cons
nil
cons
cons
2467
def
95
ref
subst
2467
remove
143
ref
subst
14
ref
"_2080"
1
ref
var
2468
def
280
ref
2468
remove
varTerm
appTerm
absTerm
2469
def
2404
ref
appTerm
appTerm
refl
2469
ref
68
ref
appTerm
betaConv
appThm
64
remove
2409
remove
appThm
2464
remove
appThm
trans
2469
remove
refl
nil
2412
remove
77
ref
70
ref
2404
ref
appTerm
68
ref
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
134
ref
subst
nil
10
ref
2404
remove
nil
cons
cons
nil
cons
nil
cons
cons
2461
ref
24
remove
appTerm
2470
def
betaConv
nil
2465
remove
77
ref
2470
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
134
ref
subst
34
ref
5
ref
2461
remove
nil
cons
cons
160
remove
cons
nil
cons
cons
145
ref
subst
eqMp
eqMp
subst
eqMp
appThm
eqMp
2410
remove
assume
eqMp
eqMp
nil
114
ref
2462
remove
cons
115
ref
2466
remove
cons
nil
cons
cons
nil
cons
cons
128
ref
subst
deductAntisym
eqMp
eqMp
nil
76
ref
78
ref
84
ref
9
ref
10
ref
283
ref
453
remove
appTerm
absTerm
appTerm
appTerm
9
ref
2415
ref
78
ref
2417
ref
68
ref
appTerm
appTerm
2420
ref
appTerm
absTerm
appTerm
appTerm
appTerm
281
remove
appTerm
2471
def
nil
cons
cons
77
ref
9
ref
6
ref
78
ref
2457
ref
appTerm
78
ref
84
ref
9
ref
10
remove
283
remove
491
remove
appTerm
absTerm
2472
def
appTerm
2473
def
appTerm
9
ref
2415
remove
78
ref
2417
remove
22
ref
appTerm
appTerm
2420
remove
appTerm
absTerm
2474
def
appTerm
2475
def
appTerm
2476
def
appTerm
280
ref
22
ref
appTerm
2477
def
appTerm
2478
def
appTerm
2479
def
absTerm
2480
def
appTerm
2481
def
nil
cons
cons
nil
cons
cons
nil
cons
cons
143
ref
subst
proveHyp
nil
5
ref
2480
remove
nil
cons
cons
nil
cons
nil
cons
cons
56
ref
subst
6
ref
nil
57
ref
2479
remove
nil
cons
cons
nil
cons
nil
cons
cons
63
ref
subst
nil
76
ref
2457
remove
nil
cons
2482
def
cons
77
ref
2478
remove
nil
cons
2483
def
cons
nil
cons
cons
nil
cons
cons
2484
def
95
ref
subst
2484
remove
143
ref
subst
nil
76
ref
2476
remove
nil
cons
2485
def
cons
77
ref
2477
ref
nil
cons
2486
def
cons
nil
cons
2487
def
cons
nil
cons
cons
2488
def
95
ref
subst
2488
remove
143
ref
subst
nil
114
ref
2473
remove
nil
cons
2489
def
cons
115
ref
2475
remove
nil
cons
2490
def
cons
nil
cons
cons
nil
cons
cons
2491
def
128
ref
subst
2491
remove
181
ref
subst
2474
ref
21
ref
appTerm
2492
def
betaConv
nil
76
ref
2490
remove
cons
77
ref
2492
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
134
ref
subst
34
ref
5
ref
2474
remove
nil
cons
cons
137
ref
cons
nil
cons
cons
145
ref
subst
eqMp
eqMp
nil
76
ref
78
ref
28
ref
22
ref
appTerm
appTerm
151
ref
2388
ref
appTerm
2493
def
appTerm
nil
cons
cons
2487
remove
cons
nil
cons
cons
134
ref
subst
proveHyp
169
ref
169
ref
150
remove
266
remove
subst
245
ref
nil
137
ref
nil
cons
cons
343
ref
subst
appThm
28
remove
21
ref
appTerm
2494
def
refl
appThm
nil
57
ref
2494
remove
nil
cons
cons
nil
cons
nil
cons
cons
399
ref
subst
trans
trans
appThm
2493
ref
refl
appThm
nil
57
ref
2493
ref
nil
cons
2495
def
cons
nil
cons
nil
cons
cons
686
remove
subst
trans
appThm
2477
ref
refl
appThm
sym
nil
1929
remove
2495
remove
cons
1923
remove
2486
ref
cons
nil
cons
cons
nil
cons
cons
2272
remove
subst
sym
nil
76
ref
151
ref
2477
ref
appTerm
nil
cons
2496
def
cons
2497
def
77
ref
151
ref
2493
remove
appTerm
nil
cons
2498
def
cons
nil
cons
cons
nil
cons
cons
2499
def
95
ref
subst
2499
remove
143
ref
subst
nil
57
ref
2435
ref
cons
nil
cons
nil
cons
cons
1502
remove
subst
sym
nil
5
ref
"b"
1
remove
var
2500
def
78
ref
280
remove
2500
ref
varTerm
2501
def
appTerm
appTerm
2502
def
17
remove
2501
ref
appTerm
2503
def
21
ref
appTerm
2504
def
appTerm
2505
def
absTerm
nil
cons
cons
nil
cons
nil
cons
cons
56
ref
subst
2500
remove
nil
57
ref
2505
ref
nil
cons
2506
def
cons
nil
cons
nil
cons
cons
2507
def
63
ref
subst
2472
ref
2501
ref
appTerm
2508
def
betaConv
nil
76
ref
2489
remove
cons
77
ref
2508
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
134
ref
subst
34
ref
5
ref
2472
remove
nil
cons
cons
135
ref
2501
ref
nil
cons
2509
def
cons
nil
cons
cons
nil
cons
cons
145
ref
subst
eqMp
eqMp
nil
76
ref
2502
ref
2503
remove
22
ref
appTerm
appTerm
nil
cons
cons
77
ref
2506
remove
cons
nil
cons
cons
nil
cons
cons
134
ref
subst
proveHyp
169
ref
2502
ref
refl
2510
def
nil
148
remove
6
ref
2509
remove
cons
nil
cons
cons
nil
cons
cons
244
remove
subst
appThm
appThm
2505
ref
refl
2511
def
appThm
sym
nil
76
ref
151
remove
70
remove
2501
remove
appTerm
22
ref
appTerm
2512
def
appTerm
nil
cons
2513
def
cons
2514
def
77
ref
78
ref
2502
remove
235
remove
2512
ref
appTerm
2504
ref
appTerm
appTerm
appTerm
2505
remove
appTerm
nil
cons
2515
def
cons
nil
cons
2516
def
cons
nil
cons
cons
2517
def
95
ref
subst
2517
remove
143
ref
subst
169
ref
2510
remove
245
ref
nil
2514
remove
77
ref
14
ref
2512
ref
appTerm
161
ref
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
134
ref
subst
nil
114
ref
2512
ref
nil
cons
2518
def
cons
2519
def
nil
cons
nil
cons
cons
196
ref
subst
eqMp
appThm
2504
ref
refl
appThm
nil
57
ref
2504
remove
nil
cons
cons
nil
cons
nil
cons
cons
474
remove
subst
trans
appThm
appThm
2511
remove
appThm
2507
remove
782
remove
subst
trans
sym
62
ref
eqMp
eqMp
nil
114
ref
2513
ref
cons
115
ref
2515
ref
cons
nil
cons
2520
def
cons
nil
cons
cons
128
ref
subst
deductAntisym
eqMp
nil
76
ref
2518
ref
cons
2516
remove
cons
nil
cons
cons
2521
def
95
ref
subst
2521
remove
143
ref
subst
169
ref
169
ref
2463
remove
2512
ref
assume
2522
def
appThm
nil
2497
remove
77
ref
14
remove
2477
remove
appTerm
161
remove
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
134
ref
subst
nil
114
ref
2486
ref
cons
nil
cons
nil
cons
cons
196
remove
subst
eqMp
trans
appThm
2523
def
245
remove
1416
remove
2522
ref
appThm
22
ref
refl
appThm
nil
135
ref
65
remove
cons
nil
cons
nil
cons
cons
343
remove
subst
trans
appThm
1548
remove
2522
remove
appThm
1821
remove
appThm
2524
def
appThm
nil
57
ref
23
remove
21
ref
appTerm
nil
cons
cons
nil
cons
nil
cons
cons
2525
def
399
remove
subst
trans
appThm
330
remove
799
ref
subst
trans
appThm
2523
remove
2524
remove
appThm
2525
remove
799
remove
subst
trans
appThm
687
remove
trans
sym
62
remove
eqMp
eqMp
nil
2519
ref
2520
remove
cons
nil
cons
cons
128
ref
subst
deductAntisym
eqMp
57
ref
305
remove
211
remove
appTerm
absTerm
2526
def
2512
remove
appTerm
2527
def
betaConv
nil
191
remove
2526
ref
appTerm
2528
def
axiom
nil
76
ref
2528
remove
nil
cons
cons
77
ref
2527
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
134
ref
subst
proveHyp
193
remove
194
ref
2526
remove
nil
cons
cons
195
remove
2518
remove
cons
nil
cons
cons
nil
cons
cons
145
ref
subst
eqMp
eqMp
nil
2519
remove
115
ref
2513
remove
cons
1423
remove
2515
remove
cons
nil
cons
cons
cons
nil
cons
cons
1437
remove
subst
proveHyp
proveHyp
proveHyp
eqMp
eqMp
eqMp
absThm
eqMp
eqMp
eqMp
nil
114
ref
2496
remove
cons
115
ref
2498
remove
cons
nil
cons
cons
nil
cons
cons
128
ref
subst
deductAntisym
eqMp
eqMp
eqMp
eqMp
proveHyp
proveHyp
eqMp
nil
114
ref
2485
remove
cons
115
ref
2486
remove
cons
nil
cons
cons
nil
cons
cons
128
ref
subst
deductAntisym
eqMp
eqMp
nil
114
ref
2482
remove
cons
115
ref
2483
remove
cons
nil
cons
cons
nil
cons
cons
128
ref
subst
deductAntisym
eqMp
eqMp
absThm
eqMp
eqMp
nil
76
ref
84
remove
2471
remove
appTerm
2481
remove
appTerm
nil
cons
cons
77
ref
9
ref
2458
ref
appTerm
nil
cons
2529
def
cons
nil
cons
cons
nil
cons
cons
134
ref
subst
proveHyp
169
ref
274
remove
2458
ref
68
remove
appTerm
betaConv
appThm
275
ref
6
ref
169
remove
2460
ref
appThm
2458
ref
22
remove
appTerm
betaConv
appThm
absThm
appThm
appThm
appThm
275
remove
6
ref
2460
remove
absThm
appThm
appThm
nil
278
remove
2458
remove
nil
cons
2530
def
cons
nil
cons
nil
cons
cons
296
remove
subst
eqMp
eqMp
nil
76
ref
2529
remove
cons
77
ref
2459
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
134
ref
subst
proveHyp
34
ref
5
ref
2530
remove
cons
137
ref
cons
nil
cons
cons
145
ref
subst
eqMp
eqMp
eqMp
eqMp
eqMp
34
ref
5
ref
2393
ref
nil
cons
cons
2531
def
137
ref
cons
nil
cons
cons
2234
remove
sym
nil
194
remove
115
ref
78
ref
2214
remove
appTerm
119
remove
appTerm
2532
def
absTerm
nil
cons
cons
nil
cons
nil
cons
cons
268
remove
55
remove
subst
subst
115
ref
nil
57
ref
2532
remove
nil
cons
cons
nil
cons
nil
cons
cons
63
ref
subst
2226
ref
95
ref
subst
2226
remove
143
ref
subst
nil
76
ref
141
remove
cons
2224
remove
cons
nil
cons
cons
134
ref
subst
2213
ref
139
remove
appTerm
2533
def
betaConv
nil
2216
remove
77
ref
2533
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
134
ref
subst
1594
remove
41
remove
2213
remove
nil
cons
cons
1595
remove
cons
nil
cons
cons
145
remove
subst
eqMp
eqMp
eqMp
eqMp
nil
2238
remove
2237
remove
cons
nil
cons
cons
128
ref
subst
deductAntisym
eqMp
eqMp
absThm
eqMp
eqMp
2534
def
subst
proveHyp
eqMp
nil
114
ref
2429
remove
cons
115
ref
2398
remove
cons
nil
cons
2535
def
cons
nil
cons
cons
128
ref
subst
deductAntisym
eqMp
eqMp
eqMp
nil
114
ref
2427
remove
cons
2535
ref
cons
nil
cons
cons
128
ref
subst
deductAntisym
eqMp
eqMp
absThm
eqMp
nil
76
ref
9
ref
135
ref
78
ref
2423
ref
2211
ref
appTerm
appTerm
2394
ref
appTerm
absTerm
appTerm
nil
cons
cons
77
ref
78
ref
2424
remove
appTerm
2394
ref
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
134
ref
subst
proveHyp
34
ref
5
ref
2423
remove
nil
cons
cons
2535
ref
cons
nil
cons
cons
2239
ref
subst
eqMp
eqMp
eqMp
nil
114
ref
2411
remove
cons
2535
ref
cons
nil
cons
cons
128
ref
subst
deductAntisym
eqMp
eqMp
eqMp
nil
114
ref
2407
remove
cons
2535
ref
cons
nil
cons
cons
128
ref
subst
deductAntisym
eqMp
eqMp
absThm
eqMp
nil
76
ref
9
ref
135
ref
78
ref
284
ref
2211
ref
appTerm
appTerm
2394
ref
appTerm
absTerm
appTerm
nil
cons
cons
77
ref
2370
remove
2394
ref
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
134
ref
subst
proveHyp
34
ref
1770
ref
2535
ref
cons
nil
cons
cons
2239
ref
subst
eqMp
eqMp
proveHyp
proveHyp
eqMp
nil
114
ref
2397
ref
cons
2535
remove
cons
nil
cons
cons
128
ref
subst
deductAntisym
eqMp
nil
76
ref
78
ref
2391
ref
appTerm
2394
ref
appTerm
nil
cons
cons
77
ref
78
ref
2394
remove
appTerm
2391
ref
appTerm
nil
cons
cons
nil
cons
2536
def
cons
nil
cons
cons
143
ref
subst
proveHyp
nil
5
ref
6
ref
78
ref
2432
ref
appTerm
2391
ref
appTerm
2537
def
absTerm
nil
cons
cons
nil
cons
nil
cons
cons
56
remove
subst
6
remove
nil
57
remove
2537
remove
nil
cons
cons
nil
cons
nil
cons
cons
63
remove
subst
nil
76
ref
2432
ref
nil
cons
2538
def
cons
77
ref
2397
ref
cons
nil
cons
2539
def
cons
nil
cons
cons
2540
def
95
ref
subst
2540
remove
143
ref
subst
2433
remove
2432
remove
assume
eqMp
nil
76
ref
2434
ref
cons
2539
remove
cons
nil
cons
cons
2541
def
134
ref
subst
proveHyp
2541
ref
95
remove
subst
2541
remove
143
ref
subst
nil
114
ref
1643
remove
cons
115
ref
2435
remove
cons
nil
cons
cons
nil
cons
cons
2542
def
128
ref
subst
2542
remove
181
remove
subst
284
remove
21
remove
appTerm
betaConv
sym
1627
remove
assume
eqMp
34
ref
1770
remove
137
ref
cons
nil
cons
cons
2534
ref
subst
proveHyp
nil
2254
remove
77
remove
2401
remove
cons
nil
cons
cons
nil
cons
cons
143
remove
subst
proveHyp
2414
remove
sym
2388
remove
assume
eqMp
34
ref
5
remove
2419
remove
cons
137
remove
cons
nil
cons
cons
2534
remove
subst
proveHyp
eqMp
proveHyp
proveHyp
eqMp
nil
114
ref
2434
remove
cons
115
remove
2397
remove
cons
nil
cons
2543
def
cons
nil
cons
cons
128
ref
subst
deductAntisym
eqMp
eqMp
eqMp
nil
114
remove
2538
remove
cons
2543
ref
cons
nil
cons
cons
128
remove
subst
deductAntisym
eqMp
eqMp
absThm
eqMp
nil
76
remove
9
remove
135
remove
78
remove
2393
remove
2211
remove
appTerm
appTerm
2391
remove
appTerm
absTerm
appTerm
nil
cons
cons
2536
remove
cons
nil
cons
cons
134
remove
subst
proveHyp
34
remove
2531
remove
2543
remove
cons
nil
cons
cons
2239
remove
subst
eqMp
eqMp
eqMp
eqMp
absThm
eqMp
nil
288
remove
2396
remove
appTerm
thm