Nominal proof certificates grouped in dependency order.
Certificates from NAR4C078C001Part030.
theorem
NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb078_support_mem_1167 :
nb078AlphaDummy1051 ∈ (Compiler.CompactSourceSyntax.synCcompl
(SemanticCore.Class.cab nb078AlphaDummy1093
(Compiler.CompactSourceSyntax.synWrex nb078AlphaDummy1094 (SemanticCore.Class.cv nb078AlphaDummy1049)
(SemanticCore.Wff.classEq (SemanticCore.Class.cv nb078AlphaDummy1093)
(Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv nb078AlphaDummy1094)))))).fv ∪ (Compiler.CompactSourceSyntax.synCcompl
(SemanticCore.Class.cab nb078AlphaDummy1093
(Compiler.CompactSourceSyntax.synWrex nb078AlphaDummy1094 (SemanticCore.Class.cv nb078AlphaDummy1051)
(SemanticCore.Wff.classEq (SemanticCore.Class.cv nb078AlphaDummy1093)
(Compiler.CompactSourceSyntax.synCun
(Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv nb078AlphaDummy1094))
(Compiler.CompactSourceSyntax.synCsn Compiler.CompactSourceSyntax.synC0c)))))).fv
theorem
NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb078_support_mem_1169
(h : SemanticCore.Var)
:
nb078AlphaDummy1054 h ∈ (Compiler.CompactSourceSyntax.synCcompl
(SemanticCore.Class.cab (nb078AlphaDummy1095 h)
(Compiler.CompactSourceSyntax.synWrex (nb078AlphaDummy1096 h) (SemanticCore.Class.cv (nb078AlphaDummy1052 h))
(SemanticCore.Wff.classEq (SemanticCore.Class.cv (nb078AlphaDummy1095 h))
(Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv (nb078AlphaDummy1096 h))))))).fv ∪ (Compiler.CompactSourceSyntax.synCcompl
(SemanticCore.Class.cab (nb078AlphaDummy1095 h)
(Compiler.CompactSourceSyntax.synWrex (nb078AlphaDummy1096 h) (SemanticCore.Class.cv (nb078AlphaDummy1054 h))
(SemanticCore.Wff.classEq (SemanticCore.Class.cv (nb078AlphaDummy1095 h))
(Compiler.CompactSourceSyntax.synCun
(Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv (nb078AlphaDummy1096 h)))
(Compiler.CompactSourceSyntax.synCsn Compiler.CompactSourceSyntax.synC0c)))))).fv
theorem
NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb078_support_mem_1170 :
nb078AlphaDummy1051 ∈ (SemanticCore.Class.cab nb078AlphaDummy1093
(Compiler.CompactSourceSyntax.synWrex nb078AlphaDummy1094 (SemanticCore.Class.cv nb078AlphaDummy1051)
(SemanticCore.Wff.classEq (SemanticCore.Class.cv nb078AlphaDummy1093)
(Compiler.CompactSourceSyntax.synCun
(Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv nb078AlphaDummy1094))
(Compiler.CompactSourceSyntax.synCsn Compiler.CompactSourceSyntax.synC0c))))).fv ∪ (SemanticCore.Class.cab nb078AlphaDummy1093
(Compiler.CompactSourceSyntax.synWrex nb078AlphaDummy1094 (SemanticCore.Class.cv nb078AlphaDummy1051)
(SemanticCore.Wff.classEq (SemanticCore.Class.cv nb078AlphaDummy1093)
(Compiler.CompactSourceSyntax.synCun
(Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv nb078AlphaDummy1094))
(Compiler.CompactSourceSyntax.synCsn Compiler.CompactSourceSyntax.synC0c))))).fv
theorem
NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb078_support_mem_1171
(h : SemanticCore.Var)
:
nb078AlphaDummy1054 h ∈ (SemanticCore.Class.cab (nb078AlphaDummy1095 h)
(Compiler.CompactSourceSyntax.synWrex (nb078AlphaDummy1096 h) (SemanticCore.Class.cv (nb078AlphaDummy1054 h))
(SemanticCore.Wff.classEq (SemanticCore.Class.cv (nb078AlphaDummy1095 h))
(Compiler.CompactSourceSyntax.synCun
(Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv (nb078AlphaDummy1096 h)))
(Compiler.CompactSourceSyntax.synCsn Compiler.CompactSourceSyntax.synC0c))))).fv ∪ (SemanticCore.Class.cab (nb078AlphaDummy1095 h)
(Compiler.CompactSourceSyntax.synWrex (nb078AlphaDummy1096 h) (SemanticCore.Class.cv (nb078AlphaDummy1054 h))
(SemanticCore.Wff.classEq (SemanticCore.Class.cv (nb078AlphaDummy1095 h))
(Compiler.CompactSourceSyntax.synCun
(Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv (nb078AlphaDummy1096 h)))
(Compiler.CompactSourceSyntax.synCsn Compiler.CompactSourceSyntax.synC0c))))).fv
theorem
NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb078_support_mem_1181 :
nb078AlphaDummy1129 ∈ (Compiler.CompactSourceSyntax.synCcompl
(SemanticCore.Class.cab nb078AlphaDummy1135
(Compiler.CompactSourceSyntax.synWrex nb078AlphaDummy1136 (SemanticCore.Class.cv nb078AlphaDummy1129)
(SemanticCore.Wff.classEq (SemanticCore.Class.cv nb078AlphaDummy1135)
(Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv nb078AlphaDummy1136)))))).fv ∪ (Compiler.CompactSourceSyntax.synCcompl
(SemanticCore.Class.cab nb078AlphaDummy1135
(Compiler.CompactSourceSyntax.synWrex nb078AlphaDummy1136 (SemanticCore.Class.cv nb078AlphaDummy1130)
(SemanticCore.Wff.classEq (SemanticCore.Class.cv nb078AlphaDummy1135)
(Compiler.CompactSourceSyntax.synCun
(Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv nb078AlphaDummy1136))
(Compiler.CompactSourceSyntax.synCsn Compiler.CompactSourceSyntax.synC0c)))))).fv
theorem
NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb078_support_mem_1183
(h : SemanticCore.Var)
:
nb078AlphaDummy1131 h ∈ (Compiler.CompactSourceSyntax.synCcompl
(SemanticCore.Class.cab (nb078AlphaDummy1137 h)
(Compiler.CompactSourceSyntax.synWrex (nb078AlphaDummy1138 h) (SemanticCore.Class.cv (nb078AlphaDummy1131 h))
(SemanticCore.Wff.classEq (SemanticCore.Class.cv (nb078AlphaDummy1137 h))
(Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv (nb078AlphaDummy1138 h))))))).fv ∪ (Compiler.CompactSourceSyntax.synCcompl
(SemanticCore.Class.cab (nb078AlphaDummy1137 h)
(Compiler.CompactSourceSyntax.synWrex (nb078AlphaDummy1138 h) (SemanticCore.Class.cv (nb078AlphaDummy1132 h))
(SemanticCore.Wff.classEq (SemanticCore.Class.cv (nb078AlphaDummy1137 h))
(Compiler.CompactSourceSyntax.synCun
(Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv (nb078AlphaDummy1138 h)))
(Compiler.CompactSourceSyntax.synCsn Compiler.CompactSourceSyntax.synC0c)))))).fv
theorem
NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb078_support_mem_1184 :
nb078AlphaDummy1129 ∈ (SemanticCore.Class.cab nb078AlphaDummy1135
(Compiler.CompactSourceSyntax.synWrex nb078AlphaDummy1136 (SemanticCore.Class.cv nb078AlphaDummy1129)
(SemanticCore.Wff.classEq (SemanticCore.Class.cv nb078AlphaDummy1135)
(Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv nb078AlphaDummy1136))))).fv ∪ (SemanticCore.Class.cab nb078AlphaDummy1135
(Compiler.CompactSourceSyntax.synWrex nb078AlphaDummy1136 (SemanticCore.Class.cv nb078AlphaDummy1129)
(SemanticCore.Wff.classEq (SemanticCore.Class.cv nb078AlphaDummy1135)
(Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv nb078AlphaDummy1136))))).fv
theorem
NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb078_support_mem_1185
(h : SemanticCore.Var)
:
nb078AlphaDummy1131 h ∈ (SemanticCore.Class.cab (nb078AlphaDummy1137 h)
(Compiler.CompactSourceSyntax.synWrex (nb078AlphaDummy1138 h) (SemanticCore.Class.cv (nb078AlphaDummy1131 h))
(SemanticCore.Wff.classEq (SemanticCore.Class.cv (nb078AlphaDummy1137 h))
(Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv (nb078AlphaDummy1138 h)))))).fv ∪ (SemanticCore.Class.cab (nb078AlphaDummy1137 h)
(Compiler.CompactSourceSyntax.synWrex (nb078AlphaDummy1138 h) (SemanticCore.Class.cv (nb078AlphaDummy1131 h))
(SemanticCore.Wff.classEq (SemanticCore.Class.cv (nb078AlphaDummy1137 h))
(Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv (nb078AlphaDummy1138 h)))))).fv
theorem
NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb078_support_mem_1188 :
nb078AlphaDummy1143 ∈ (SemanticCore.Wff.classMem (SemanticCore.Class.cv nb078AlphaDummy1143) Compiler.CompactSourceSyntax.synCnnc).fv ∪ (Compiler.CompactSourceSyntax.synCplc (SemanticCore.Class.cv nb078AlphaDummy1143)
Compiler.CompactSourceSyntax.synC1c).fv ∪ (SemanticCore.Class.cv nb078AlphaDummy1143).fv
theorem
NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb078_support_mem_1189
(h : SemanticCore.Var)
:
nb078AlphaDummy1145 h ∈ (SemanticCore.Wff.classMem (SemanticCore.Class.cv (nb078AlphaDummy1145 h)) Compiler.CompactSourceSyntax.synCnnc).fv ∪ (Compiler.CompactSourceSyntax.synCplc (SemanticCore.Class.cv (nb078AlphaDummy1145 h))
Compiler.CompactSourceSyntax.synC1c).fv ∪ (SemanticCore.Class.cv (nb078AlphaDummy1145 h)).fv
theorem
NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb078_support_mem_1193
(h : SemanticCore.Var)
:
nb078AlphaDummy1153 h ∈ (Compiler.CompactSourceSyntax.synCnin (SemanticCore.Class.cv (nb078AlphaDummy1153 h))
(SemanticCore.Class.cv (nb078AlphaDummy1154 h))).fv ∪ (Compiler.CompactSourceSyntax.synCnin (SemanticCore.Class.cv (nb078AlphaDummy1153 h))
(SemanticCore.Class.cv (nb078AlphaDummy1154 h))).fv
theorem
NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb078_support_mem_1197
(h : SemanticCore.Var)
:
nb078AlphaDummy1154 h ∈ (Compiler.CompactSourceSyntax.synCnin (SemanticCore.Class.cv (nb078AlphaDummy1153 h))
(SemanticCore.Class.cv (nb078AlphaDummy1154 h))).fv ∪ (Compiler.CompactSourceSyntax.synCnin (SemanticCore.Class.cv (nb078AlphaDummy1153 h))
(SemanticCore.Class.cv (nb078AlphaDummy1154 h))).fv
theorem
NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb078_support_mem_1209 :
nb078AlphaDummy1130 ∈ (Compiler.CompactSourceSyntax.synCcompl
(SemanticCore.Class.cab nb078AlphaDummy1135
(Compiler.CompactSourceSyntax.synWrex nb078AlphaDummy1136 (SemanticCore.Class.cv nb078AlphaDummy1129)
(SemanticCore.Wff.classEq (SemanticCore.Class.cv nb078AlphaDummy1135)
(Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv nb078AlphaDummy1136)))))).fv ∪ (Compiler.CompactSourceSyntax.synCcompl
(SemanticCore.Class.cab nb078AlphaDummy1135
(Compiler.CompactSourceSyntax.synWrex nb078AlphaDummy1136 (SemanticCore.Class.cv nb078AlphaDummy1130)
(SemanticCore.Wff.classEq (SemanticCore.Class.cv nb078AlphaDummy1135)
(Compiler.CompactSourceSyntax.synCun
(Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv nb078AlphaDummy1136))
(Compiler.CompactSourceSyntax.synCsn Compiler.CompactSourceSyntax.synC0c)))))).fv
theorem
NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb078_support_mem_1211
(h : SemanticCore.Var)
:
nb078AlphaDummy1132 h ∈ (Compiler.CompactSourceSyntax.synCcompl
(SemanticCore.Class.cab (nb078AlphaDummy1137 h)
(Compiler.CompactSourceSyntax.synWrex (nb078AlphaDummy1138 h) (SemanticCore.Class.cv (nb078AlphaDummy1131 h))
(SemanticCore.Wff.classEq (SemanticCore.Class.cv (nb078AlphaDummy1137 h))
(Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv (nb078AlphaDummy1138 h))))))).fv ∪ (Compiler.CompactSourceSyntax.synCcompl
(SemanticCore.Class.cab (nb078AlphaDummy1137 h)
(Compiler.CompactSourceSyntax.synWrex (nb078AlphaDummy1138 h) (SemanticCore.Class.cv (nb078AlphaDummy1132 h))
(SemanticCore.Wff.classEq (SemanticCore.Class.cv (nb078AlphaDummy1137 h))
(Compiler.CompactSourceSyntax.synCun
(Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv (nb078AlphaDummy1138 h)))
(Compiler.CompactSourceSyntax.synCsn Compiler.CompactSourceSyntax.synC0c)))))).fv
theorem
NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb078_support_mem_1212 :
nb078AlphaDummy1130 ∈ (SemanticCore.Class.cab nb078AlphaDummy1135
(Compiler.CompactSourceSyntax.synWrex nb078AlphaDummy1136 (SemanticCore.Class.cv nb078AlphaDummy1130)
(SemanticCore.Wff.classEq (SemanticCore.Class.cv nb078AlphaDummy1135)
(Compiler.CompactSourceSyntax.synCun
(Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv nb078AlphaDummy1136))
(Compiler.CompactSourceSyntax.synCsn Compiler.CompactSourceSyntax.synC0c))))).fv ∪ (SemanticCore.Class.cab nb078AlphaDummy1135
(Compiler.CompactSourceSyntax.synWrex nb078AlphaDummy1136 (SemanticCore.Class.cv nb078AlphaDummy1130)
(SemanticCore.Wff.classEq (SemanticCore.Class.cv nb078AlphaDummy1135)
(Compiler.CompactSourceSyntax.synCun
(Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv nb078AlphaDummy1136))
(Compiler.CompactSourceSyntax.synCsn Compiler.CompactSourceSyntax.synC0c))))).fv
theorem
NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb078_support_mem_1213
(h : SemanticCore.Var)
:
nb078AlphaDummy1132 h ∈ (SemanticCore.Class.cab (nb078AlphaDummy1137 h)
(Compiler.CompactSourceSyntax.synWrex (nb078AlphaDummy1138 h) (SemanticCore.Class.cv (nb078AlphaDummy1132 h))
(SemanticCore.Wff.classEq (SemanticCore.Class.cv (nb078AlphaDummy1137 h))
(Compiler.CompactSourceSyntax.synCun
(Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv (nb078AlphaDummy1138 h)))
(Compiler.CompactSourceSyntax.synCsn Compiler.CompactSourceSyntax.synC0c))))).fv ∪ (SemanticCore.Class.cab (nb078AlphaDummy1137 h)
(Compiler.CompactSourceSyntax.synWrex (nb078AlphaDummy1138 h) (SemanticCore.Class.cv (nb078AlphaDummy1132 h))
(SemanticCore.Wff.classEq (SemanticCore.Class.cv (nb078AlphaDummy1137 h))
(Compiler.CompactSourceSyntax.synCun
(Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv (nb078AlphaDummy1138 h)))
(Compiler.CompactSourceSyntax.synCsn Compiler.CompactSourceSyntax.synC0c))))).fv
theorem
NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb078_support_mem_1219 :
nb078AlphaDummy1130 ∈ (Compiler.CompactSourceSyntax.synCcompl
(SemanticCore.Class.cab nb078AlphaDummy1171
(Compiler.CompactSourceSyntax.synWrex nb078AlphaDummy1172 (SemanticCore.Class.cv nb078AlphaDummy1130)
(SemanticCore.Wff.classEq (SemanticCore.Class.cv nb078AlphaDummy1171)
(Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv nb078AlphaDummy1172)))))).fv ∪ (Compiler.CompactSourceSyntax.synCcompl
(SemanticCore.Class.cab nb078AlphaDummy1171
(Compiler.CompactSourceSyntax.synWrex nb078AlphaDummy1172 (SemanticCore.Class.cv nb078AlphaDummy1129)
(SemanticCore.Wff.classEq (SemanticCore.Class.cv nb078AlphaDummy1171)
(Compiler.CompactSourceSyntax.synCun
(Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv nb078AlphaDummy1172))
(Compiler.CompactSourceSyntax.synCsn Compiler.CompactSourceSyntax.synC0c)))))).fv
theorem
NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb078_support_mem_1221
(h : SemanticCore.Var)
:
nb078AlphaDummy1132 h ∈ (Compiler.CompactSourceSyntax.synCcompl
(SemanticCore.Class.cab (nb078AlphaDummy1173 h)
(Compiler.CompactSourceSyntax.synWrex (nb078AlphaDummy1174 h) (SemanticCore.Class.cv (nb078AlphaDummy1132 h))
(SemanticCore.Wff.classEq (SemanticCore.Class.cv (nb078AlphaDummy1173 h))
(Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv (nb078AlphaDummy1174 h))))))).fv ∪ (Compiler.CompactSourceSyntax.synCcompl
(SemanticCore.Class.cab (nb078AlphaDummy1173 h)
(Compiler.CompactSourceSyntax.synWrex (nb078AlphaDummy1174 h) (SemanticCore.Class.cv (nb078AlphaDummy1131 h))
(SemanticCore.Wff.classEq (SemanticCore.Class.cv (nb078AlphaDummy1173 h))
(Compiler.CompactSourceSyntax.synCun
(Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv (nb078AlphaDummy1174 h)))
(Compiler.CompactSourceSyntax.synCsn Compiler.CompactSourceSyntax.synC0c)))))).fv
theorem
NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb078_support_mem_1222 :
nb078AlphaDummy1130 ∈ (SemanticCore.Class.cab nb078AlphaDummy1171
(Compiler.CompactSourceSyntax.synWrex nb078AlphaDummy1172 (SemanticCore.Class.cv nb078AlphaDummy1130)
(SemanticCore.Wff.classEq (SemanticCore.Class.cv nb078AlphaDummy1171)
(Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv nb078AlphaDummy1172))))).fv ∪ (SemanticCore.Class.cab nb078AlphaDummy1171
(Compiler.CompactSourceSyntax.synWrex nb078AlphaDummy1172 (SemanticCore.Class.cv nb078AlphaDummy1130)
(SemanticCore.Wff.classEq (SemanticCore.Class.cv nb078AlphaDummy1171)
(Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv nb078AlphaDummy1172))))).fv
theorem
NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb078_support_mem_1223
(h : SemanticCore.Var)
:
nb078AlphaDummy1132 h ∈ (SemanticCore.Class.cab (nb078AlphaDummy1173 h)
(Compiler.CompactSourceSyntax.synWrex (nb078AlphaDummy1174 h) (SemanticCore.Class.cv (nb078AlphaDummy1132 h))
(SemanticCore.Wff.classEq (SemanticCore.Class.cv (nb078AlphaDummy1173 h))
(Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv (nb078AlphaDummy1174 h)))))).fv ∪ (SemanticCore.Class.cab (nb078AlphaDummy1173 h)
(Compiler.CompactSourceSyntax.synWrex (nb078AlphaDummy1174 h) (SemanticCore.Class.cv (nb078AlphaDummy1132 h))
(SemanticCore.Wff.classEq (SemanticCore.Class.cv (nb078AlphaDummy1173 h))
(Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv (nb078AlphaDummy1174 h)))))).fv
theorem
NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb078_support_mem_1226 :
nb078AlphaDummy1179 ∈ (SemanticCore.Wff.classMem (SemanticCore.Class.cv nb078AlphaDummy1179) Compiler.CompactSourceSyntax.synCnnc).fv ∪ (Compiler.CompactSourceSyntax.synCplc (SemanticCore.Class.cv nb078AlphaDummy1179)
Compiler.CompactSourceSyntax.synC1c).fv ∪ (SemanticCore.Class.cv nb078AlphaDummy1179).fv
theorem
NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb078_support_mem_1227
(h : SemanticCore.Var)
:
nb078AlphaDummy1181 h ∈ (SemanticCore.Wff.classMem (SemanticCore.Class.cv (nb078AlphaDummy1181 h)) Compiler.CompactSourceSyntax.synCnnc).fv ∪ (Compiler.CompactSourceSyntax.synCplc (SemanticCore.Class.cv (nb078AlphaDummy1181 h))
Compiler.CompactSourceSyntax.synC1c).fv ∪ (SemanticCore.Class.cv (nb078AlphaDummy1181 h)).fv
theorem
NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb078_support_mem_1231
(h : SemanticCore.Var)
:
nb078AlphaDummy1189 h ∈ (Compiler.CompactSourceSyntax.synCnin (SemanticCore.Class.cv (nb078AlphaDummy1189 h))
(SemanticCore.Class.cv (nb078AlphaDummy1190 h))).fv ∪ (Compiler.CompactSourceSyntax.synCnin (SemanticCore.Class.cv (nb078AlphaDummy1189 h))
(SemanticCore.Class.cv (nb078AlphaDummy1190 h))).fv
theorem
NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb078_support_mem_1235
(h : SemanticCore.Var)
:
nb078AlphaDummy1190 h ∈ (Compiler.CompactSourceSyntax.synCnin (SemanticCore.Class.cv (nb078AlphaDummy1189 h))
(SemanticCore.Class.cv (nb078AlphaDummy1190 h))).fv ∪ (Compiler.CompactSourceSyntax.synCnin (SemanticCore.Class.cv (nb078AlphaDummy1189 h))
(SemanticCore.Class.cv (nb078AlphaDummy1190 h))).fv
theorem
NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb078_support_mem_1247 :
nb078AlphaDummy1129 ∈ (Compiler.CompactSourceSyntax.synCcompl
(SemanticCore.Class.cab nb078AlphaDummy1171
(Compiler.CompactSourceSyntax.synWrex nb078AlphaDummy1172 (SemanticCore.Class.cv nb078AlphaDummy1130)
(SemanticCore.Wff.classEq (SemanticCore.Class.cv nb078AlphaDummy1171)
(Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv nb078AlphaDummy1172)))))).fv ∪ (Compiler.CompactSourceSyntax.synCcompl
(SemanticCore.Class.cab nb078AlphaDummy1171
(Compiler.CompactSourceSyntax.synWrex nb078AlphaDummy1172 (SemanticCore.Class.cv nb078AlphaDummy1129)
(SemanticCore.Wff.classEq (SemanticCore.Class.cv nb078AlphaDummy1171)
(Compiler.CompactSourceSyntax.synCun
(Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv nb078AlphaDummy1172))
(Compiler.CompactSourceSyntax.synCsn Compiler.CompactSourceSyntax.synC0c)))))).fv
theorem
NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb078_support_mem_1249
(h : SemanticCore.Var)
:
nb078AlphaDummy1131 h ∈ (Compiler.CompactSourceSyntax.synCcompl
(SemanticCore.Class.cab (nb078AlphaDummy1173 h)
(Compiler.CompactSourceSyntax.synWrex (nb078AlphaDummy1174 h) (SemanticCore.Class.cv (nb078AlphaDummy1132 h))
(SemanticCore.Wff.classEq (SemanticCore.Class.cv (nb078AlphaDummy1173 h))
(Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv (nb078AlphaDummy1174 h))))))).fv ∪ (Compiler.CompactSourceSyntax.synCcompl
(SemanticCore.Class.cab (nb078AlphaDummy1173 h)
(Compiler.CompactSourceSyntax.synWrex (nb078AlphaDummy1174 h) (SemanticCore.Class.cv (nb078AlphaDummy1131 h))
(SemanticCore.Wff.classEq (SemanticCore.Class.cv (nb078AlphaDummy1173 h))
(Compiler.CompactSourceSyntax.synCun
(Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv (nb078AlphaDummy1174 h)))
(Compiler.CompactSourceSyntax.synCsn Compiler.CompactSourceSyntax.synC0c)))))).fv
theorem
NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb078_support_mem_1250 :
nb078AlphaDummy1129 ∈ (SemanticCore.Class.cab nb078AlphaDummy1171
(Compiler.CompactSourceSyntax.synWrex nb078AlphaDummy1172 (SemanticCore.Class.cv nb078AlphaDummy1129)
(SemanticCore.Wff.classEq (SemanticCore.Class.cv nb078AlphaDummy1171)
(Compiler.CompactSourceSyntax.synCun
(Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv nb078AlphaDummy1172))
(Compiler.CompactSourceSyntax.synCsn Compiler.CompactSourceSyntax.synC0c))))).fv ∪ (SemanticCore.Class.cab nb078AlphaDummy1171
(Compiler.CompactSourceSyntax.synWrex nb078AlphaDummy1172 (SemanticCore.Class.cv nb078AlphaDummy1129)
(SemanticCore.Wff.classEq (SemanticCore.Class.cv nb078AlphaDummy1171)
(Compiler.CompactSourceSyntax.synCun
(Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv nb078AlphaDummy1172))
(Compiler.CompactSourceSyntax.synCsn Compiler.CompactSourceSyntax.synC0c))))).fv
theorem
NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb078_support_mem_1251
(h : SemanticCore.Var)
:
nb078AlphaDummy1131 h ∈ (SemanticCore.Class.cab (nb078AlphaDummy1173 h)
(Compiler.CompactSourceSyntax.synWrex (nb078AlphaDummy1174 h) (SemanticCore.Class.cv (nb078AlphaDummy1131 h))
(SemanticCore.Wff.classEq (SemanticCore.Class.cv (nb078AlphaDummy1173 h))
(Compiler.CompactSourceSyntax.synCun
(Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv (nb078AlphaDummy1174 h)))
(Compiler.CompactSourceSyntax.synCsn Compiler.CompactSourceSyntax.synC0c))))).fv ∪ (SemanticCore.Class.cab (nb078AlphaDummy1173 h)
(Compiler.CompactSourceSyntax.synWrex (nb078AlphaDummy1174 h) (SemanticCore.Class.cv (nb078AlphaDummy1131 h))
(SemanticCore.Wff.classEq (SemanticCore.Class.cv (nb078AlphaDummy1173 h))
(Compiler.CompactSourceSyntax.synCun
(Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv (nb078AlphaDummy1174 h)))
(Compiler.CompactSourceSyntax.synCsn Compiler.CompactSourceSyntax.synC0c))))).fv
theorem
NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb078_support_mem_1256 :
nb078AlphaDummy002 ∈ (Compiler.CompactSourceSyntax.synCnin
(Compiler.CompactSourceSyntax.synCcom
(Compiler.CompactSourceSyntax.synCcnv (SemanticCore.Class.cv nb078AlphaDummy002))
(Compiler.CompactSourceSyntax.synCcnv
(Compiler.CompactSourceSyntax.synCcnv (SemanticCore.Class.cv nb078AlphaDummy002))))
Compiler.CompactSourceSyntax.synCid).fv ∪ (Compiler.CompactSourceSyntax.synCnin
(Compiler.CompactSourceSyntax.synCcom
(Compiler.CompactSourceSyntax.synCcnv (SemanticCore.Class.cv nb078AlphaDummy002))
(Compiler.CompactSourceSyntax.synCcnv
(Compiler.CompactSourceSyntax.synCcnv (SemanticCore.Class.cv nb078AlphaDummy002))))
Compiler.CompactSourceSyntax.synCid).fv
theorem
NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb078_support_mem_1257
(h : SemanticCore.Var)
:
h ∈ (Compiler.CompactSourceSyntax.synCnin
(Compiler.CompactSourceSyntax.synCcom (Compiler.CompactSourceSyntax.synCcnv (SemanticCore.Class.cv h))
(Compiler.CompactSourceSyntax.synCcnv (Compiler.CompactSourceSyntax.synCcnv (SemanticCore.Class.cv h))))
Compiler.CompactSourceSyntax.synCid).fv ∪ (Compiler.CompactSourceSyntax.synCnin
(Compiler.CompactSourceSyntax.synCcom (Compiler.CompactSourceSyntax.synCcnv (SemanticCore.Class.cv h))
(Compiler.CompactSourceSyntax.synCcnv (Compiler.CompactSourceSyntax.synCcnv (SemanticCore.Class.cv h))))
Compiler.CompactSourceSyntax.synCid).fv
theorem
NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb078_support_mem_1258 :
nb078AlphaDummy002 ∈ (Compiler.CompactSourceSyntax.synCcom
(Compiler.CompactSourceSyntax.synCcnv (SemanticCore.Class.cv nb078AlphaDummy002))
(Compiler.CompactSourceSyntax.synCcnv
(Compiler.CompactSourceSyntax.synCcnv (SemanticCore.Class.cv nb078AlphaDummy002)))).fv ∪ Compiler.CompactSourceSyntax.synCid.fv
theorem
NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb078_support_mem_1261 :
nb078AlphaDummy002 ∈ {nb078AlphaDummy1049} ∪ {nb078AlphaDummy1050} ∪ (Compiler.CompactSourceSyntax.synWex nb078AlphaDummy1051
(Compiler.CompactSourceSyntax.synWa
(Compiler.CompactSourceSyntax.synWbr (SemanticCore.Class.cv nb078AlphaDummy1049)
(Compiler.CompactSourceSyntax.synCcnv
(Compiler.CompactSourceSyntax.synCcnv (SemanticCore.Class.cv nb078AlphaDummy002)))
(SemanticCore.Class.cv nb078AlphaDummy1051))
(Compiler.CompactSourceSyntax.synWbr (SemanticCore.Class.cv nb078AlphaDummy1051)
(Compiler.CompactSourceSyntax.synCcnv (SemanticCore.Class.cv nb078AlphaDummy002))
(SemanticCore.Class.cv nb078AlphaDummy1050)))).fv
theorem
NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb078_support_mem_1263
(h : SemanticCore.Var)
:
h ∈ {nb078AlphaDummy1052 h} ∪ {nb078AlphaDummy1053 h} ∪ (Compiler.CompactSourceSyntax.synWex (nb078AlphaDummy1054 h)
(Compiler.CompactSourceSyntax.synWa
(Compiler.CompactSourceSyntax.synWbr (SemanticCore.Class.cv (nb078AlphaDummy1052 h))
(Compiler.CompactSourceSyntax.synCcnv (Compiler.CompactSourceSyntax.synCcnv (SemanticCore.Class.cv h)))
(SemanticCore.Class.cv (nb078AlphaDummy1054 h)))
(Compiler.CompactSourceSyntax.synWbr (SemanticCore.Class.cv (nb078AlphaDummy1054 h))
(Compiler.CompactSourceSyntax.synCcnv (SemanticCore.Class.cv h))
(SemanticCore.Class.cv (nb078AlphaDummy1053 h))))).fv
theorem
NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb078_support_mem_1269 :
nb078AlphaDummy1051 ∈ (Compiler.CompactSourceSyntax.synCcompl
(SemanticCore.Class.cab nb078AlphaDummy1207
(Compiler.CompactSourceSyntax.synWrex nb078AlphaDummy1208 (SemanticCore.Class.cv nb078AlphaDummy1051)
(SemanticCore.Wff.classEq (SemanticCore.Class.cv nb078AlphaDummy1207)
(Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv nb078AlphaDummy1208)))))).fv ∪ (Compiler.CompactSourceSyntax.synCcompl
(SemanticCore.Class.cab nb078AlphaDummy1207
(Compiler.CompactSourceSyntax.synWrex nb078AlphaDummy1208 (SemanticCore.Class.cv nb078AlphaDummy1050)
(SemanticCore.Wff.classEq (SemanticCore.Class.cv nb078AlphaDummy1207)
(Compiler.CompactSourceSyntax.synCun
(Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv nb078AlphaDummy1208))
(Compiler.CompactSourceSyntax.synCsn Compiler.CompactSourceSyntax.synC0c)))))).fv
theorem
NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb078_support_mem_1271
(h : SemanticCore.Var)
:
nb078AlphaDummy1054 h ∈ (Compiler.CompactSourceSyntax.synCcompl
(SemanticCore.Class.cab (nb078AlphaDummy1209 h)
(Compiler.CompactSourceSyntax.synWrex (nb078AlphaDummy1210 h) (SemanticCore.Class.cv (nb078AlphaDummy1054 h))
(SemanticCore.Wff.classEq (SemanticCore.Class.cv (nb078AlphaDummy1209 h))
(Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv (nb078AlphaDummy1210 h))))))).fv ∪ (Compiler.CompactSourceSyntax.synCcompl
(SemanticCore.Class.cab (nb078AlphaDummy1209 h)
(Compiler.CompactSourceSyntax.synWrex (nb078AlphaDummy1210 h) (SemanticCore.Class.cv (nb078AlphaDummy1053 h))
(SemanticCore.Wff.classEq (SemanticCore.Class.cv (nb078AlphaDummy1209 h))
(Compiler.CompactSourceSyntax.synCun
(Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv (nb078AlphaDummy1210 h)))
(Compiler.CompactSourceSyntax.synCsn Compiler.CompactSourceSyntax.synC0c)))))).fv
theorem
NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb078_support_mem_1272 :
nb078AlphaDummy1051 ∈ (SemanticCore.Class.cab nb078AlphaDummy1207
(Compiler.CompactSourceSyntax.synWrex nb078AlphaDummy1208 (SemanticCore.Class.cv nb078AlphaDummy1051)
(SemanticCore.Wff.classEq (SemanticCore.Class.cv nb078AlphaDummy1207)
(Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv nb078AlphaDummy1208))))).fv ∪ (SemanticCore.Class.cab nb078AlphaDummy1207
(Compiler.CompactSourceSyntax.synWrex nb078AlphaDummy1208 (SemanticCore.Class.cv nb078AlphaDummy1051)
(SemanticCore.Wff.classEq (SemanticCore.Class.cv nb078AlphaDummy1207)
(Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv nb078AlphaDummy1208))))).fv
theorem
NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb078_support_mem_1273
(h : SemanticCore.Var)
:
nb078AlphaDummy1054 h ∈ (SemanticCore.Class.cab (nb078AlphaDummy1209 h)
(Compiler.CompactSourceSyntax.synWrex (nb078AlphaDummy1210 h) (SemanticCore.Class.cv (nb078AlphaDummy1054 h))
(SemanticCore.Wff.classEq (SemanticCore.Class.cv (nb078AlphaDummy1209 h))
(Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv (nb078AlphaDummy1210 h)))))).fv ∪ (SemanticCore.Class.cab (nb078AlphaDummy1209 h)
(Compiler.CompactSourceSyntax.synWrex (nb078AlphaDummy1210 h) (SemanticCore.Class.cv (nb078AlphaDummy1054 h))
(SemanticCore.Wff.classEq (SemanticCore.Class.cv (nb078AlphaDummy1209 h))
(Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv (nb078AlphaDummy1210 h)))))).fv
theorem
NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb078_support_mem_1276 :
nb078AlphaDummy1215 ∈ (SemanticCore.Wff.classMem (SemanticCore.Class.cv nb078AlphaDummy1215) Compiler.CompactSourceSyntax.synCnnc).fv ∪ (Compiler.CompactSourceSyntax.synCplc (SemanticCore.Class.cv nb078AlphaDummy1215)
Compiler.CompactSourceSyntax.synC1c).fv ∪ (SemanticCore.Class.cv nb078AlphaDummy1215).fv
theorem
NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb078_support_mem_1277
(h : SemanticCore.Var)
:
nb078AlphaDummy1217 h ∈ (SemanticCore.Wff.classMem (SemanticCore.Class.cv (nb078AlphaDummy1217 h)) Compiler.CompactSourceSyntax.synCnnc).fv ∪ (Compiler.CompactSourceSyntax.synCplc (SemanticCore.Class.cv (nb078AlphaDummy1217 h))
Compiler.CompactSourceSyntax.synC1c).fv ∪ (SemanticCore.Class.cv (nb078AlphaDummy1217 h)).fv
theorem
NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb078_support_mem_1281
(h : SemanticCore.Var)
:
nb078AlphaDummy1225 h ∈ (Compiler.CompactSourceSyntax.synCnin (SemanticCore.Class.cv (nb078AlphaDummy1225 h))
(SemanticCore.Class.cv (nb078AlphaDummy1226 h))).fv ∪ (Compiler.CompactSourceSyntax.synCnin (SemanticCore.Class.cv (nb078AlphaDummy1225 h))
(SemanticCore.Class.cv (nb078AlphaDummy1226 h))).fv
theorem
NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb078_support_mem_1285
(h : SemanticCore.Var)
:
nb078AlphaDummy1226 h ∈ (Compiler.CompactSourceSyntax.synCnin (SemanticCore.Class.cv (nb078AlphaDummy1225 h))
(SemanticCore.Class.cv (nb078AlphaDummy1226 h))).fv ∪ (Compiler.CompactSourceSyntax.synCnin (SemanticCore.Class.cv (nb078AlphaDummy1225 h))
(SemanticCore.Class.cv (nb078AlphaDummy1226 h))).fv
theorem
NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb078_support_mem_1297 :
nb078AlphaDummy1050 ∈ (Compiler.CompactSourceSyntax.synCcompl
(SemanticCore.Class.cab nb078AlphaDummy1207
(Compiler.CompactSourceSyntax.synWrex nb078AlphaDummy1208 (SemanticCore.Class.cv nb078AlphaDummy1051)
(SemanticCore.Wff.classEq (SemanticCore.Class.cv nb078AlphaDummy1207)
(Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv nb078AlphaDummy1208)))))).fv ∪ (Compiler.CompactSourceSyntax.synCcompl
(SemanticCore.Class.cab nb078AlphaDummy1207
(Compiler.CompactSourceSyntax.synWrex nb078AlphaDummy1208 (SemanticCore.Class.cv nb078AlphaDummy1050)
(SemanticCore.Wff.classEq (SemanticCore.Class.cv nb078AlphaDummy1207)
(Compiler.CompactSourceSyntax.synCun
(Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv nb078AlphaDummy1208))
(Compiler.CompactSourceSyntax.synCsn Compiler.CompactSourceSyntax.synC0c)))))).fv
theorem
NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb078_support_mem_1299
(h : SemanticCore.Var)
:
nb078AlphaDummy1053 h ∈ (Compiler.CompactSourceSyntax.synCcompl
(SemanticCore.Class.cab (nb078AlphaDummy1209 h)
(Compiler.CompactSourceSyntax.synWrex (nb078AlphaDummy1210 h) (SemanticCore.Class.cv (nb078AlphaDummy1054 h))
(SemanticCore.Wff.classEq (SemanticCore.Class.cv (nb078AlphaDummy1209 h))
(Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv (nb078AlphaDummy1210 h))))))).fv ∪ (Compiler.CompactSourceSyntax.synCcompl
(SemanticCore.Class.cab (nb078AlphaDummy1209 h)
(Compiler.CompactSourceSyntax.synWrex (nb078AlphaDummy1210 h) (SemanticCore.Class.cv (nb078AlphaDummy1053 h))
(SemanticCore.Wff.classEq (SemanticCore.Class.cv (nb078AlphaDummy1209 h))
(Compiler.CompactSourceSyntax.synCun
(Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv (nb078AlphaDummy1210 h)))
(Compiler.CompactSourceSyntax.synCsn Compiler.CompactSourceSyntax.synC0c)))))).fv
theorem
NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb078_support_mem_1300 :
nb078AlphaDummy1050 ∈ (SemanticCore.Class.cab nb078AlphaDummy1207
(Compiler.CompactSourceSyntax.synWrex nb078AlphaDummy1208 (SemanticCore.Class.cv nb078AlphaDummy1050)
(SemanticCore.Wff.classEq (SemanticCore.Class.cv nb078AlphaDummy1207)
(Compiler.CompactSourceSyntax.synCun
(Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv nb078AlphaDummy1208))
(Compiler.CompactSourceSyntax.synCsn Compiler.CompactSourceSyntax.synC0c))))).fv ∪ (SemanticCore.Class.cab nb078AlphaDummy1207
(Compiler.CompactSourceSyntax.synWrex nb078AlphaDummy1208 (SemanticCore.Class.cv nb078AlphaDummy1050)
(SemanticCore.Wff.classEq (SemanticCore.Class.cv nb078AlphaDummy1207)
(Compiler.CompactSourceSyntax.synCun
(Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv nb078AlphaDummy1208))
(Compiler.CompactSourceSyntax.synCsn Compiler.CompactSourceSyntax.synC0c))))).fv
Certificates from NAR4C078C001Part031.
theorem
NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb078_support_mem_1301
(h : SemanticCore.Var)
:
nb078AlphaDummy1053 h ∈ (SemanticCore.Class.cab (nb078AlphaDummy1209 h)
(Compiler.CompactSourceSyntax.synWrex (nb078AlphaDummy1210 h) (SemanticCore.Class.cv (nb078AlphaDummy1053 h))
(SemanticCore.Wff.classEq (SemanticCore.Class.cv (nb078AlphaDummy1209 h))
(Compiler.CompactSourceSyntax.synCun
(Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv (nb078AlphaDummy1210 h)))
(Compiler.CompactSourceSyntax.synCsn Compiler.CompactSourceSyntax.synC0c))))).fv ∪ (SemanticCore.Class.cab (nb078AlphaDummy1209 h)
(Compiler.CompactSourceSyntax.synWrex (nb078AlphaDummy1210 h) (SemanticCore.Class.cv (nb078AlphaDummy1053 h))
(SemanticCore.Wff.classEq (SemanticCore.Class.cv (nb078AlphaDummy1209 h))
(Compiler.CompactSourceSyntax.synCun
(Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv (nb078AlphaDummy1210 h)))
(Compiler.CompactSourceSyntax.synCsn Compiler.CompactSourceSyntax.synC0c))))).fv