Nominal proof certificates grouped in dependency order.
Certificates from NAR4C078C001Part018.
theorem
NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb078_fresh_1154 :
nb078AlphaDummy343 ∉
(SemanticCore.Wff.classMem (SemanticCore.Class.cv nb078AlphaDummy339) Compiler.CompactSourceSyntax.synCnnc).fv ∪ (Compiler.CompactSourceSyntax.synCplc (SemanticCore.Class.cv nb078AlphaDummy339)
Compiler.CompactSourceSyntax.synC1c).fv ∪ (SemanticCore.Class.cv nb078AlphaDummy339).fv
theorem
NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb078_fresh_1155
(g : SemanticCore.Var)
:
nb078AlphaDummy344 g ∉
(SemanticCore.Wff.classMem (SemanticCore.Class.cv (nb078AlphaDummy341 g)) Compiler.CompactSourceSyntax.synCnnc).fv ∪ (Compiler.CompactSourceSyntax.synCplc (SemanticCore.Class.cv (nb078AlphaDummy341 g))
Compiler.CompactSourceSyntax.synC1c).fv ∪ (SemanticCore.Class.cv (nb078AlphaDummy341 g)).fv
theorem
NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb078_fresh_1156 :
nb078AlphaDummy385 ∉
(SemanticCore.Wff.classMem (SemanticCore.Class.cv nb078AlphaDummy381) Compiler.CompactSourceSyntax.synCnnc).fv ∪ (Compiler.CompactSourceSyntax.synCplc (SemanticCore.Class.cv nb078AlphaDummy381)
Compiler.CompactSourceSyntax.synC1c).fv ∪ (SemanticCore.Class.cv nb078AlphaDummy381).fv
theorem
NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb078_fresh_1157
(g : SemanticCore.Var)
:
nb078AlphaDummy386 g ∉
(SemanticCore.Wff.classMem (SemanticCore.Class.cv (nb078AlphaDummy383 g)) Compiler.CompactSourceSyntax.synCnnc).fv ∪ (Compiler.CompactSourceSyntax.synCplc (SemanticCore.Class.cv (nb078AlphaDummy383 g))
Compiler.CompactSourceSyntax.synC1c).fv ∪ (SemanticCore.Class.cv (nb078AlphaDummy383 g)).fv
theorem
NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb078_fresh_1158 :
nb078AlphaDummy421 ∉
(SemanticCore.Wff.classMem (SemanticCore.Class.cv nb078AlphaDummy417) Compiler.CompactSourceSyntax.synCnnc).fv ∪ (Compiler.CompactSourceSyntax.synCplc (SemanticCore.Class.cv nb078AlphaDummy417)
Compiler.CompactSourceSyntax.synC1c).fv ∪ (SemanticCore.Class.cv nb078AlphaDummy417).fv
theorem
NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb078_fresh_1159
(g : SemanticCore.Var)
:
nb078AlphaDummy422 g ∉
(SemanticCore.Wff.classMem (SemanticCore.Class.cv (nb078AlphaDummy419 g)) Compiler.CompactSourceSyntax.synCnnc).fv ∪ (Compiler.CompactSourceSyntax.synCplc (SemanticCore.Class.cv (nb078AlphaDummy419 g))
Compiler.CompactSourceSyntax.synC1c).fv ∪ (SemanticCore.Class.cv (nb078AlphaDummy419 g)).fv
theorem
NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb078_fresh_1160 :
nb078AlphaDummy457 ∉
(SemanticCore.Wff.classMem (SemanticCore.Class.cv nb078AlphaDummy453) Compiler.CompactSourceSyntax.synCnnc).fv ∪ (Compiler.CompactSourceSyntax.synCplc (SemanticCore.Class.cv nb078AlphaDummy453)
Compiler.CompactSourceSyntax.synC1c).fv ∪ (SemanticCore.Class.cv nb078AlphaDummy453).fv
theorem
NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb078_fresh_1161
(g : SemanticCore.Var)
:
nb078AlphaDummy458 g ∉
(SemanticCore.Wff.classMem (SemanticCore.Class.cv (nb078AlphaDummy455 g)) Compiler.CompactSourceSyntax.synCnnc).fv ∪ (Compiler.CompactSourceSyntax.synCplc (SemanticCore.Class.cv (nb078AlphaDummy455 g))
Compiler.CompactSourceSyntax.synC1c).fv ∪ (SemanticCore.Class.cv (nb078AlphaDummy455 g)).fv
theorem
NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb078_fresh_1162 :
nb078AlphaDummy497 ∉
(SemanticCore.Wff.classMem (SemanticCore.Class.cv nb078AlphaDummy493) Compiler.CompactSourceSyntax.synCnnc).fv ∪ (Compiler.CompactSourceSyntax.synCplc (SemanticCore.Class.cv nb078AlphaDummy493)
Compiler.CompactSourceSyntax.synC1c).fv ∪ (SemanticCore.Class.cv nb078AlphaDummy493).fv
theorem
NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb078_fresh_1163
(g : SemanticCore.Var)
:
nb078AlphaDummy498 g ∉
(SemanticCore.Wff.classMem (SemanticCore.Class.cv (nb078AlphaDummy495 g)) Compiler.CompactSourceSyntax.synCnnc).fv ∪ (Compiler.CompactSourceSyntax.synCplc (SemanticCore.Class.cv (nb078AlphaDummy495 g))
Compiler.CompactSourceSyntax.synC1c).fv ∪ (SemanticCore.Class.cv (nb078AlphaDummy495 g)).fv
theorem
NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb078_fresh_1164 :
nb078AlphaDummy541 ∉
(SemanticCore.Wff.classMem (SemanticCore.Class.cv nb078AlphaDummy537) Compiler.CompactSourceSyntax.synCnnc).fv ∪ (Compiler.CompactSourceSyntax.synCplc (SemanticCore.Class.cv nb078AlphaDummy537)
Compiler.CompactSourceSyntax.synC1c).fv ∪ (SemanticCore.Class.cv nb078AlphaDummy537).fv
theorem
NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb078_fresh_1165
(g : SemanticCore.Var)
:
nb078AlphaDummy542 g ∉
(SemanticCore.Wff.classMem (SemanticCore.Class.cv (nb078AlphaDummy539 g)) Compiler.CompactSourceSyntax.synCnnc).fv ∪ (Compiler.CompactSourceSyntax.synCplc (SemanticCore.Class.cv (nb078AlphaDummy539 g))
Compiler.CompactSourceSyntax.synC1c).fv ∪ (SemanticCore.Class.cv (nb078AlphaDummy539 g)).fv
theorem
NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb078_fresh_1166 :
nb078AlphaDummy589 ∉
(SemanticCore.Wff.classMem (SemanticCore.Class.cv nb078AlphaDummy585) Compiler.CompactSourceSyntax.synCnnc).fv ∪ (Compiler.CompactSourceSyntax.synCplc (SemanticCore.Class.cv nb078AlphaDummy585)
Compiler.CompactSourceSyntax.synC1c).fv ∪ (SemanticCore.Class.cv nb078AlphaDummy585).fv
theorem
NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb078_fresh_1167
(g : SemanticCore.Var)
:
nb078AlphaDummy590 g ∉
(SemanticCore.Wff.classMem (SemanticCore.Class.cv (nb078AlphaDummy587 g)) Compiler.CompactSourceSyntax.synCnnc).fv ∪ (Compiler.CompactSourceSyntax.synCplc (SemanticCore.Class.cv (nb078AlphaDummy587 g))
Compiler.CompactSourceSyntax.synC1c).fv ∪ (SemanticCore.Class.cv (nb078AlphaDummy587 g)).fv
theorem
NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb078_fresh_1168 :
nb078AlphaDummy625 ∉
(SemanticCore.Wff.classMem (SemanticCore.Class.cv nb078AlphaDummy621) Compiler.CompactSourceSyntax.synCnnc).fv ∪ (Compiler.CompactSourceSyntax.synCplc (SemanticCore.Class.cv nb078AlphaDummy621)
Compiler.CompactSourceSyntax.synC1c).fv ∪ (SemanticCore.Class.cv nb078AlphaDummy621).fv
theorem
NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb078_fresh_1169
(g : SemanticCore.Var)
:
nb078AlphaDummy626 g ∉
(SemanticCore.Wff.classMem (SemanticCore.Class.cv (nb078AlphaDummy623 g)) Compiler.CompactSourceSyntax.synCnnc).fv ∪ (Compiler.CompactSourceSyntax.synCplc (SemanticCore.Class.cv (nb078AlphaDummy623 g))
Compiler.CompactSourceSyntax.synC1c).fv ∪ (SemanticCore.Class.cv (nb078AlphaDummy623 g)).fv
theorem
NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb078_fresh_1170 :
nb078AlphaDummy667 ∉
(SemanticCore.Wff.classMem (SemanticCore.Class.cv nb078AlphaDummy663) Compiler.CompactSourceSyntax.synCnnc).fv ∪ (Compiler.CompactSourceSyntax.synCplc (SemanticCore.Class.cv nb078AlphaDummy663)
Compiler.CompactSourceSyntax.synC1c).fv ∪ (SemanticCore.Class.cv nb078AlphaDummy663).fv
theorem
NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb078_fresh_1171
(g : SemanticCore.Var)
:
nb078AlphaDummy668 g ∉
(SemanticCore.Wff.classMem (SemanticCore.Class.cv (nb078AlphaDummy665 g)) Compiler.CompactSourceSyntax.synCnnc).fv ∪ (Compiler.CompactSourceSyntax.synCplc (SemanticCore.Class.cv (nb078AlphaDummy665 g))
Compiler.CompactSourceSyntax.synC1c).fv ∪ (SemanticCore.Class.cv (nb078AlphaDummy665 g)).fv
theorem
NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb078_fresh_1172 :
nb078AlphaDummy703 ∉
(SemanticCore.Wff.classMem (SemanticCore.Class.cv nb078AlphaDummy699) Compiler.CompactSourceSyntax.synCnnc).fv ∪ (Compiler.CompactSourceSyntax.synCplc (SemanticCore.Class.cv nb078AlphaDummy699)
Compiler.CompactSourceSyntax.synC1c).fv ∪ (SemanticCore.Class.cv nb078AlphaDummy699).fv
theorem
NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb078_fresh_1173
(g : SemanticCore.Var)
:
nb078AlphaDummy704 g ∉
(SemanticCore.Wff.classMem (SemanticCore.Class.cv (nb078AlphaDummy701 g)) Compiler.CompactSourceSyntax.synCnnc).fv ∪ (Compiler.CompactSourceSyntax.synCplc (SemanticCore.Class.cv (nb078AlphaDummy701 g))
Compiler.CompactSourceSyntax.synC1c).fv ∪ (SemanticCore.Class.cv (nb078AlphaDummy701 g)).fv
theorem
NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb078_fresh_1174 :
nb078AlphaDummy739 ∉
(SemanticCore.Wff.classMem (SemanticCore.Class.cv nb078AlphaDummy735) Compiler.CompactSourceSyntax.synCnnc).fv ∪ (Compiler.CompactSourceSyntax.synCplc (SemanticCore.Class.cv nb078AlphaDummy735)
Compiler.CompactSourceSyntax.synC1c).fv ∪ (SemanticCore.Class.cv nb078AlphaDummy735).fv
theorem
NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb078_fresh_1175
(g : SemanticCore.Var)
:
nb078AlphaDummy740 g ∉
(SemanticCore.Wff.classMem (SemanticCore.Class.cv (nb078AlphaDummy737 g)) Compiler.CompactSourceSyntax.synCnnc).fv ∪ (Compiler.CompactSourceSyntax.synCplc (SemanticCore.Class.cv (nb078AlphaDummy737 g))
Compiler.CompactSourceSyntax.synC1c).fv ∪ (SemanticCore.Class.cv (nb078AlphaDummy737 g)).fv
theorem
NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb078_fresh_1176 :
nb078AlphaDummy787 ∉
(SemanticCore.Wff.classMem (SemanticCore.Class.cv nb078AlphaDummy783) Compiler.CompactSourceSyntax.synCnnc).fv ∪ (Compiler.CompactSourceSyntax.synCplc (SemanticCore.Class.cv nb078AlphaDummy783)
Compiler.CompactSourceSyntax.synC1c).fv ∪ (SemanticCore.Class.cv nb078AlphaDummy783).fv
theorem
NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb078_fresh_1177
(h : SemanticCore.Var)
:
nb078AlphaDummy788 h ∉
(SemanticCore.Wff.classMem (SemanticCore.Class.cv (nb078AlphaDummy785 h)) Compiler.CompactSourceSyntax.synCnnc).fv ∪ (Compiler.CompactSourceSyntax.synCplc (SemanticCore.Class.cv (nb078AlphaDummy785 h))
Compiler.CompactSourceSyntax.synC1c).fv ∪ (SemanticCore.Class.cv (nb078AlphaDummy785 h)).fv
theorem
NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb078_fresh_1178 :
nb078AlphaDummy823 ∉
(SemanticCore.Wff.classMem (SemanticCore.Class.cv nb078AlphaDummy819) Compiler.CompactSourceSyntax.synCnnc).fv ∪ (Compiler.CompactSourceSyntax.synCplc (SemanticCore.Class.cv nb078AlphaDummy819)
Compiler.CompactSourceSyntax.synC1c).fv ∪ (SemanticCore.Class.cv nb078AlphaDummy819).fv
theorem
NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb078_fresh_1179
(h : SemanticCore.Var)
:
nb078AlphaDummy824 h ∉
(SemanticCore.Wff.classMem (SemanticCore.Class.cv (nb078AlphaDummy821 h)) Compiler.CompactSourceSyntax.synCnnc).fv ∪ (Compiler.CompactSourceSyntax.synCplc (SemanticCore.Class.cv (nb078AlphaDummy821 h))
Compiler.CompactSourceSyntax.synC1c).fv ∪ (SemanticCore.Class.cv (nb078AlphaDummy821 h)).fv
theorem
NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb078_fresh_1180 :
nb078AlphaDummy865 ∉
(SemanticCore.Wff.classMem (SemanticCore.Class.cv nb078AlphaDummy861) Compiler.CompactSourceSyntax.synCnnc).fv ∪ (Compiler.CompactSourceSyntax.synCplc (SemanticCore.Class.cv nb078AlphaDummy861)
Compiler.CompactSourceSyntax.synC1c).fv ∪ (SemanticCore.Class.cv nb078AlphaDummy861).fv
theorem
NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb078_fresh_1181
(h : SemanticCore.Var)
:
nb078AlphaDummy866 h ∉
(SemanticCore.Wff.classMem (SemanticCore.Class.cv (nb078AlphaDummy863 h)) Compiler.CompactSourceSyntax.synCnnc).fv ∪ (Compiler.CompactSourceSyntax.synCplc (SemanticCore.Class.cv (nb078AlphaDummy863 h))
Compiler.CompactSourceSyntax.synC1c).fv ∪ (SemanticCore.Class.cv (nb078AlphaDummy863 h)).fv
theorem
NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb078_fresh_1182 :
nb078AlphaDummy901 ∉
(SemanticCore.Wff.classMem (SemanticCore.Class.cv nb078AlphaDummy897) Compiler.CompactSourceSyntax.synCnnc).fv ∪ (Compiler.CompactSourceSyntax.synCplc (SemanticCore.Class.cv nb078AlphaDummy897)
Compiler.CompactSourceSyntax.synC1c).fv ∪ (SemanticCore.Class.cv nb078AlphaDummy897).fv
theorem
NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb078_fresh_1183
(h : SemanticCore.Var)
:
nb078AlphaDummy902 h ∉
(SemanticCore.Wff.classMem (SemanticCore.Class.cv (nb078AlphaDummy899 h)) Compiler.CompactSourceSyntax.synCnnc).fv ∪ (Compiler.CompactSourceSyntax.synCplc (SemanticCore.Class.cv (nb078AlphaDummy899 h))
Compiler.CompactSourceSyntax.synC1c).fv ∪ (SemanticCore.Class.cv (nb078AlphaDummy899 h)).fv
theorem
NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb078_fresh_1184 :
nb078AlphaDummy937 ∉
(SemanticCore.Wff.classMem (SemanticCore.Class.cv nb078AlphaDummy933) Compiler.CompactSourceSyntax.synCnnc).fv ∪ (Compiler.CompactSourceSyntax.synCplc (SemanticCore.Class.cv nb078AlphaDummy933)
Compiler.CompactSourceSyntax.synC1c).fv ∪ (SemanticCore.Class.cv nb078AlphaDummy933).fv
theorem
NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb078_fresh_1185
(h : SemanticCore.Var)
:
nb078AlphaDummy938 h ∉
(SemanticCore.Wff.classMem (SemanticCore.Class.cv (nb078AlphaDummy935 h)) Compiler.CompactSourceSyntax.synCnnc).fv ∪ (Compiler.CompactSourceSyntax.synCplc (SemanticCore.Class.cv (nb078AlphaDummy935 h))
Compiler.CompactSourceSyntax.synC1c).fv ∪ (SemanticCore.Class.cv (nb078AlphaDummy935 h)).fv
theorem
NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb078_fresh_1186 :
nb078AlphaDummy977 ∉
(SemanticCore.Wff.classMem (SemanticCore.Class.cv nb078AlphaDummy973) Compiler.CompactSourceSyntax.synCnnc).fv ∪ (Compiler.CompactSourceSyntax.synCplc (SemanticCore.Class.cv nb078AlphaDummy973)
Compiler.CompactSourceSyntax.synC1c).fv ∪ (SemanticCore.Class.cv nb078AlphaDummy973).fv
theorem
NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb078_fresh_1187
(h : SemanticCore.Var)
:
nb078AlphaDummy978 h ∉
(SemanticCore.Wff.classMem (SemanticCore.Class.cv (nb078AlphaDummy975 h)) Compiler.CompactSourceSyntax.synCnnc).fv ∪ (Compiler.CompactSourceSyntax.synCplc (SemanticCore.Class.cv (nb078AlphaDummy975 h))
Compiler.CompactSourceSyntax.synC1c).fv ∪ (SemanticCore.Class.cv (nb078AlphaDummy975 h)).fv
theorem
NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb078_fresh_1248 :
nb078AlphaDummy567 ∉
(Compiler.CompactSourceSyntax.synCcom
(Compiler.CompactSourceSyntax.synCcnv (SemanticCore.Class.cv nb078AlphaDummy001))
(Compiler.CompactSourceSyntax.synCcnv
(Compiler.CompactSourceSyntax.synCcnv (SemanticCore.Class.cv nb078AlphaDummy001)))).fv ∪ Compiler.CompactSourceSyntax.synCid.fv
theorem
NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb078_fresh_1249 :
nb078AlphaDummy1047 ∉
(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_fresh_1252 :
nb078AlphaDummy021 ∉
(Compiler.CompactSourceSyntax.synCcompl
(SemanticCore.Class.cab nb078AlphaDummy017
(Compiler.CompactSourceSyntax.synWrex nb078AlphaDummy018 (SemanticCore.Class.cv nb078AlphaDummy009)
(SemanticCore.Wff.classEq (SemanticCore.Class.cv nb078AlphaDummy017)
(Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv nb078AlphaDummy018)))))).fv ∪ (Compiler.CompactSourceSyntax.synCcompl
(SemanticCore.Class.cab nb078AlphaDummy017
(Compiler.CompactSourceSyntax.synWrex nb078AlphaDummy018 (SemanticCore.Class.cv nb078AlphaDummy010)
(SemanticCore.Wff.classEq (SemanticCore.Class.cv nb078AlphaDummy017)
(Compiler.CompactSourceSyntax.synCun
(Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv nb078AlphaDummy018))
(Compiler.CompactSourceSyntax.synCsn Compiler.CompactSourceSyntax.synC0c)))))).fv
theorem
NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb078_fresh_1253
(f : SemanticCore.Var)
:
nb078AlphaDummy022 f ∉
(Compiler.CompactSourceSyntax.synCcompl
(SemanticCore.Class.cab (nb078AlphaDummy019 f)
(Compiler.CompactSourceSyntax.synWrex (nb078AlphaDummy020 f) (SemanticCore.Class.cv (nb078AlphaDummy012 f))
(SemanticCore.Wff.classEq (SemanticCore.Class.cv (nb078AlphaDummy019 f))
(Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv (nb078AlphaDummy020 f))))))).fv ∪ (Compiler.CompactSourceSyntax.synCcompl
(SemanticCore.Class.cab (nb078AlphaDummy019 f)
(Compiler.CompactSourceSyntax.synWrex (nb078AlphaDummy020 f) (SemanticCore.Class.cv (nb078AlphaDummy013 f))
(SemanticCore.Wff.classEq (SemanticCore.Class.cv (nb078AlphaDummy019 f))
(Compiler.CompactSourceSyntax.synCun
(Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv (nb078AlphaDummy020 f)))
(Compiler.CompactSourceSyntax.synCsn Compiler.CompactSourceSyntax.synC0c)))))).fv
theorem
NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb078_fresh_1254 :
nb078AlphaDummy057 ∉
(Compiler.CompactSourceSyntax.synCcompl
(SemanticCore.Class.cab nb078AlphaDummy053
(Compiler.CompactSourceSyntax.synWrex nb078AlphaDummy054 (SemanticCore.Class.cv nb078AlphaDummy009)
(SemanticCore.Wff.classEq (SemanticCore.Class.cv nb078AlphaDummy053)
(Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv nb078AlphaDummy054)))))).fv ∪ (Compiler.CompactSourceSyntax.synCcompl
(SemanticCore.Class.cab nb078AlphaDummy053
(Compiler.CompactSourceSyntax.synWrex nb078AlphaDummy054 (SemanticCore.Class.cv nb078AlphaDummy011)
(SemanticCore.Wff.classEq (SemanticCore.Class.cv nb078AlphaDummy053)
(Compiler.CompactSourceSyntax.synCun
(Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv nb078AlphaDummy054))
(Compiler.CompactSourceSyntax.synCsn Compiler.CompactSourceSyntax.synC0c)))))).fv
theorem
NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb078_fresh_1255
(f : SemanticCore.Var)
:
nb078AlphaDummy058 f ∉
(Compiler.CompactSourceSyntax.synCcompl
(SemanticCore.Class.cab (nb078AlphaDummy055 f)
(Compiler.CompactSourceSyntax.synWrex (nb078AlphaDummy056 f) (SemanticCore.Class.cv (nb078AlphaDummy012 f))
(SemanticCore.Wff.classEq (SemanticCore.Class.cv (nb078AlphaDummy055 f))
(Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv (nb078AlphaDummy056 f))))))).fv ∪ (Compiler.CompactSourceSyntax.synCcompl
(SemanticCore.Class.cab (nb078AlphaDummy055 f)
(Compiler.CompactSourceSyntax.synWrex (nb078AlphaDummy056 f) (SemanticCore.Class.cv (nb078AlphaDummy014 f))
(SemanticCore.Wff.classEq (SemanticCore.Class.cv (nb078AlphaDummy055 f))
(Compiler.CompactSourceSyntax.synCun
(Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv (nb078AlphaDummy056 f)))
(Compiler.CompactSourceSyntax.synCsn Compiler.CompactSourceSyntax.synC0c)))))).fv
theorem
NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb078_fresh_1256 :
nb078AlphaDummy099 ∉
(Compiler.CompactSourceSyntax.synCcompl
(SemanticCore.Class.cab nb078AlphaDummy095
(Compiler.CompactSourceSyntax.synWrex nb078AlphaDummy096 (SemanticCore.Class.cv nb078AlphaDummy089)
(SemanticCore.Wff.classEq (SemanticCore.Class.cv nb078AlphaDummy095)
(Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv nb078AlphaDummy096)))))).fv ∪ (Compiler.CompactSourceSyntax.synCcompl
(SemanticCore.Class.cab nb078AlphaDummy095
(Compiler.CompactSourceSyntax.synWrex nb078AlphaDummy096 (SemanticCore.Class.cv nb078AlphaDummy090)
(SemanticCore.Wff.classEq (SemanticCore.Class.cv nb078AlphaDummy095)
(Compiler.CompactSourceSyntax.synCun
(Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv nb078AlphaDummy096))
(Compiler.CompactSourceSyntax.synCsn Compiler.CompactSourceSyntax.synC0c)))))).fv
theorem
NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb078_fresh_1257
(f : SemanticCore.Var)
:
nb078AlphaDummy100 f ∉
(Compiler.CompactSourceSyntax.synCcompl
(SemanticCore.Class.cab (nb078AlphaDummy097 f)
(Compiler.CompactSourceSyntax.synWrex (nb078AlphaDummy098 f) (SemanticCore.Class.cv (nb078AlphaDummy091 f))
(SemanticCore.Wff.classEq (SemanticCore.Class.cv (nb078AlphaDummy097 f))
(Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv (nb078AlphaDummy098 f))))))).fv ∪ (Compiler.CompactSourceSyntax.synCcompl
(SemanticCore.Class.cab (nb078AlphaDummy097 f)
(Compiler.CompactSourceSyntax.synWrex (nb078AlphaDummy098 f) (SemanticCore.Class.cv (nb078AlphaDummy092 f))
(SemanticCore.Wff.classEq (SemanticCore.Class.cv (nb078AlphaDummy097 f))
(Compiler.CompactSourceSyntax.synCun
(Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv (nb078AlphaDummy098 f)))
(Compiler.CompactSourceSyntax.synCsn Compiler.CompactSourceSyntax.synC0c)))))).fv
theorem
NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb078_fresh_1258 :
nb078AlphaDummy1013 ∉
(Compiler.CompactSourceSyntax.synCcompl
(SemanticCore.Class.cab nb078AlphaDummy1009
(Compiler.CompactSourceSyntax.synWrex nb078AlphaDummy1010 (SemanticCore.Class.cv nb078AlphaDummy1006)
(SemanticCore.Wff.classEq (SemanticCore.Class.cv nb078AlphaDummy1009)
(Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv nb078AlphaDummy1010)))))).fv ∪ (Compiler.CompactSourceSyntax.synCcompl
(SemanticCore.Class.cab nb078AlphaDummy1009
(Compiler.CompactSourceSyntax.synWrex nb078AlphaDummy1010 (SemanticCore.Class.cv nb078AlphaDummy1005)
(SemanticCore.Wff.classEq (SemanticCore.Class.cv nb078AlphaDummy1009)
(Compiler.CompactSourceSyntax.synCun
(Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv nb078AlphaDummy1010))
(Compiler.CompactSourceSyntax.synCsn Compiler.CompactSourceSyntax.synC0c)))))).fv
theorem
NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb078_fresh_1259
(h : SemanticCore.Var)
:
nb078AlphaDummy1014 h ∉
(Compiler.CompactSourceSyntax.synCcompl
(SemanticCore.Class.cab (nb078AlphaDummy1011 h)
(Compiler.CompactSourceSyntax.synWrex (nb078AlphaDummy1012 h) (SemanticCore.Class.cv (nb078AlphaDummy1008 h))
(SemanticCore.Wff.classEq (SemanticCore.Class.cv (nb078AlphaDummy1011 h))
(Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv (nb078AlphaDummy1012 h))))))).fv ∪ (Compiler.CompactSourceSyntax.synCcompl
(SemanticCore.Class.cab (nb078AlphaDummy1011 h)
(Compiler.CompactSourceSyntax.synWrex (nb078AlphaDummy1012 h) (SemanticCore.Class.cv (nb078AlphaDummy1007 h))
(SemanticCore.Wff.classEq (SemanticCore.Class.cv (nb078AlphaDummy1011 h))
(Compiler.CompactSourceSyntax.synCun
(Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv (nb078AlphaDummy1012 h)))
(Compiler.CompactSourceSyntax.synCsn Compiler.CompactSourceSyntax.synC0c)))))).fv
theorem
NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb078_fresh_1260 :
nb078AlphaDummy1061 ∉
(Compiler.CompactSourceSyntax.synCcompl
(SemanticCore.Class.cab nb078AlphaDummy1057
(Compiler.CompactSourceSyntax.synWrex nb078AlphaDummy1058 (SemanticCore.Class.cv nb078AlphaDummy1049)
(SemanticCore.Wff.classEq (SemanticCore.Class.cv nb078AlphaDummy1057)
(Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv nb078AlphaDummy1058)))))).fv ∪ (Compiler.CompactSourceSyntax.synCcompl
(SemanticCore.Class.cab nb078AlphaDummy1057
(Compiler.CompactSourceSyntax.synWrex nb078AlphaDummy1058 (SemanticCore.Class.cv nb078AlphaDummy1050)
(SemanticCore.Wff.classEq (SemanticCore.Class.cv nb078AlphaDummy1057)
(Compiler.CompactSourceSyntax.synCun
(Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv nb078AlphaDummy1058))
(Compiler.CompactSourceSyntax.synCsn Compiler.CompactSourceSyntax.synC0c)))))).fv
theorem
NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb078_fresh_1261
(h : SemanticCore.Var)
:
nb078AlphaDummy1062 h ∉
(Compiler.CompactSourceSyntax.synCcompl
(SemanticCore.Class.cab (nb078AlphaDummy1059 h)
(Compiler.CompactSourceSyntax.synWrex (nb078AlphaDummy1060 h) (SemanticCore.Class.cv (nb078AlphaDummy1052 h))
(SemanticCore.Wff.classEq (SemanticCore.Class.cv (nb078AlphaDummy1059 h))
(Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv (nb078AlphaDummy1060 h))))))).fv ∪ (Compiler.CompactSourceSyntax.synCcompl
(SemanticCore.Class.cab (nb078AlphaDummy1059 h)
(Compiler.CompactSourceSyntax.synWrex (nb078AlphaDummy1060 h) (SemanticCore.Class.cv (nb078AlphaDummy1053 h))
(SemanticCore.Wff.classEq (SemanticCore.Class.cv (nb078AlphaDummy1059 h))
(Compiler.CompactSourceSyntax.synCun
(Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv (nb078AlphaDummy1060 h)))
(Compiler.CompactSourceSyntax.synCsn Compiler.CompactSourceSyntax.synC0c)))))).fv
theorem
NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb078_fresh_1262 :
nb078AlphaDummy1097 ∉
(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_fresh_1263
(h : SemanticCore.Var)
:
nb078AlphaDummy1098 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_fresh_1264 :
nb078AlphaDummy1139 ∉
(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_fresh_1265
(h : SemanticCore.Var)
:
nb078AlphaDummy1140 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_fresh_1266 :
nb078AlphaDummy1175 ∉
(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_fresh_1267
(h : SemanticCore.Var)
:
nb078AlphaDummy1176 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_fresh_1268 :
nb078AlphaDummy1211 ∉
(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_fresh_1269
(h : SemanticCore.Var)
:
nb078AlphaDummy1212 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_fresh_1270 :
nb078AlphaDummy135 ∉
(Compiler.CompactSourceSyntax.synCcompl
(SemanticCore.Class.cab nb078AlphaDummy131
(Compiler.CompactSourceSyntax.synWrex nb078AlphaDummy132 (SemanticCore.Class.cv nb078AlphaDummy090)
(SemanticCore.Wff.classEq (SemanticCore.Class.cv nb078AlphaDummy131)
(Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv nb078AlphaDummy132)))))).fv ∪ (Compiler.CompactSourceSyntax.synCcompl
(SemanticCore.Class.cab nb078AlphaDummy131
(Compiler.CompactSourceSyntax.synWrex nb078AlphaDummy132 (SemanticCore.Class.cv nb078AlphaDummy089)
(SemanticCore.Wff.classEq (SemanticCore.Class.cv nb078AlphaDummy131)
(Compiler.CompactSourceSyntax.synCun
(Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv nb078AlphaDummy132))
(Compiler.CompactSourceSyntax.synCsn Compiler.CompactSourceSyntax.synC0c)))))).fv
theorem
NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb078_fresh_1271
(f : SemanticCore.Var)
:
nb078AlphaDummy136 f ∉
(Compiler.CompactSourceSyntax.synCcompl
(SemanticCore.Class.cab (nb078AlphaDummy133 f)
(Compiler.CompactSourceSyntax.synWrex (nb078AlphaDummy134 f) (SemanticCore.Class.cv (nb078AlphaDummy092 f))
(SemanticCore.Wff.classEq (SemanticCore.Class.cv (nb078AlphaDummy133 f))
(Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv (nb078AlphaDummy134 f))))))).fv ∪ (Compiler.CompactSourceSyntax.synCcompl
(SemanticCore.Class.cab (nb078AlphaDummy133 f)
(Compiler.CompactSourceSyntax.synWrex (nb078AlphaDummy134 f) (SemanticCore.Class.cv (nb078AlphaDummy091 f))
(SemanticCore.Wff.classEq (SemanticCore.Class.cv (nb078AlphaDummy133 f))
(Compiler.CompactSourceSyntax.synCun
(Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv (nb078AlphaDummy134 f)))
(Compiler.CompactSourceSyntax.synCsn Compiler.CompactSourceSyntax.synC0c)))))).fv
theorem
NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb078_fresh_1272 :
nb078AlphaDummy171 ∉
(Compiler.CompactSourceSyntax.synCcompl
(SemanticCore.Class.cab nb078AlphaDummy167
(Compiler.CompactSourceSyntax.synWrex nb078AlphaDummy168 (SemanticCore.Class.cv nb078AlphaDummy011)
(SemanticCore.Wff.classEq (SemanticCore.Class.cv nb078AlphaDummy167)
(Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv nb078AlphaDummy168)))))).fv ∪ (Compiler.CompactSourceSyntax.synCcompl
(SemanticCore.Class.cab nb078AlphaDummy167
(Compiler.CompactSourceSyntax.synWrex nb078AlphaDummy168 (SemanticCore.Class.cv nb078AlphaDummy010)
(SemanticCore.Wff.classEq (SemanticCore.Class.cv nb078AlphaDummy167)
(Compiler.CompactSourceSyntax.synCun
(Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv nb078AlphaDummy168))
(Compiler.CompactSourceSyntax.synCsn Compiler.CompactSourceSyntax.synC0c)))))).fv
theorem
NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb078_fresh_1273
(f : SemanticCore.Var)
:
nb078AlphaDummy172 f ∉
(Compiler.CompactSourceSyntax.synCcompl
(SemanticCore.Class.cab (nb078AlphaDummy169 f)
(Compiler.CompactSourceSyntax.synWrex (nb078AlphaDummy170 f) (SemanticCore.Class.cv (nb078AlphaDummy014 f))
(SemanticCore.Wff.classEq (SemanticCore.Class.cv (nb078AlphaDummy169 f))
(Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv (nb078AlphaDummy170 f))))))).fv ∪ (Compiler.CompactSourceSyntax.synCcompl
(SemanticCore.Class.cab (nb078AlphaDummy169 f)
(Compiler.CompactSourceSyntax.synWrex (nb078AlphaDummy170 f) (SemanticCore.Class.cv (nb078AlphaDummy013 f))
(SemanticCore.Wff.classEq (SemanticCore.Class.cv (nb078AlphaDummy169 f))
(Compiler.CompactSourceSyntax.synCun
(Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv (nb078AlphaDummy170 f)))
(Compiler.CompactSourceSyntax.synCsn Compiler.CompactSourceSyntax.synC0c)))))).fv
Certificates from NAR4C078C001Part019.
theorem
NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb078_fresh_1274 :
nb078AlphaDummy211 ∉
(Compiler.CompactSourceSyntax.synCcompl
(SemanticCore.Class.cab nb078AlphaDummy207
(Compiler.CompactSourceSyntax.synWrex nb078AlphaDummy208 (SemanticCore.Class.cv nb078AlphaDummy204)
(SemanticCore.Wff.classEq (SemanticCore.Class.cv nb078AlphaDummy207)
(Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv nb078AlphaDummy208)))))).fv ∪ (Compiler.CompactSourceSyntax.synCcompl
(SemanticCore.Class.cab nb078AlphaDummy207
(Compiler.CompactSourceSyntax.synWrex nb078AlphaDummy208 (SemanticCore.Class.cv nb078AlphaDummy203)
(SemanticCore.Wff.classEq (SemanticCore.Class.cv nb078AlphaDummy207)
(Compiler.CompactSourceSyntax.synCun
(Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv nb078AlphaDummy208))
(Compiler.CompactSourceSyntax.synCsn Compiler.CompactSourceSyntax.synC0c)))))).fv
theorem
NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb078_fresh_1275
(f : SemanticCore.Var)
:
nb078AlphaDummy212 f ∉
(Compiler.CompactSourceSyntax.synCcompl
(SemanticCore.Class.cab (nb078AlphaDummy209 f)
(Compiler.CompactSourceSyntax.synWrex (nb078AlphaDummy210 f) (SemanticCore.Class.cv (nb078AlphaDummy206 f))
(SemanticCore.Wff.classEq (SemanticCore.Class.cv (nb078AlphaDummy209 f))
(Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv (nb078AlphaDummy210 f))))))).fv ∪ (Compiler.CompactSourceSyntax.synCcompl
(SemanticCore.Class.cab (nb078AlphaDummy209 f)
(Compiler.CompactSourceSyntax.synWrex (nb078AlphaDummy210 f) (SemanticCore.Class.cv (nb078AlphaDummy205 f))
(SemanticCore.Wff.classEq (SemanticCore.Class.cv (nb078AlphaDummy209 f))
(Compiler.CompactSourceSyntax.synCun
(Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv (nb078AlphaDummy210 f)))
(Compiler.CompactSourceSyntax.synCsn Compiler.CompactSourceSyntax.synC0c)))))).fv
theorem
NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb078_fresh_1276 :
nb078AlphaDummy251 ∉
(Compiler.CompactSourceSyntax.synCcompl
(SemanticCore.Class.cab nb078AlphaDummy247
(Compiler.CompactSourceSyntax.synWrex nb078AlphaDummy248 (SemanticCore.Class.cv nb078AlphaDummy244)
(SemanticCore.Wff.classEq (SemanticCore.Class.cv nb078AlphaDummy247)
(Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv nb078AlphaDummy248)))))).fv ∪ (Compiler.CompactSourceSyntax.synCcompl
(SemanticCore.Class.cab nb078AlphaDummy247
(Compiler.CompactSourceSyntax.synWrex nb078AlphaDummy248 (SemanticCore.Class.cv nb078AlphaDummy243)
(SemanticCore.Wff.classEq (SemanticCore.Class.cv nb078AlphaDummy247)
(Compiler.CompactSourceSyntax.synCun
(Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv nb078AlphaDummy248))
(Compiler.CompactSourceSyntax.synCsn Compiler.CompactSourceSyntax.synC0c)))))).fv
theorem
NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb078_fresh_1277
(f : SemanticCore.Var)
:
nb078AlphaDummy252 f ∉
(Compiler.CompactSourceSyntax.synCcompl
(SemanticCore.Class.cab (nb078AlphaDummy249 f)
(Compiler.CompactSourceSyntax.synWrex (nb078AlphaDummy250 f) (SemanticCore.Class.cv (nb078AlphaDummy246 f))
(SemanticCore.Wff.classEq (SemanticCore.Class.cv (nb078AlphaDummy249 f))
(Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv (nb078AlphaDummy250 f))))))).fv ∪ (Compiler.CompactSourceSyntax.synCcompl
(SemanticCore.Class.cab (nb078AlphaDummy249 f)
(Compiler.CompactSourceSyntax.synWrex (nb078AlphaDummy250 f) (SemanticCore.Class.cv (nb078AlphaDummy245 f))
(SemanticCore.Wff.classEq (SemanticCore.Class.cv (nb078AlphaDummy249 f))
(Compiler.CompactSourceSyntax.synCun
(Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv (nb078AlphaDummy250 f)))
(Compiler.CompactSourceSyntax.synCsn Compiler.CompactSourceSyntax.synC0c)))))).fv
theorem
NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb078_fresh_1278 :
nb078AlphaDummy299 ∉
(Compiler.CompactSourceSyntax.synCcompl
(SemanticCore.Class.cab nb078AlphaDummy295
(Compiler.CompactSourceSyntax.synWrex nb078AlphaDummy296 (SemanticCore.Class.cv nb078AlphaDummy287)
(SemanticCore.Wff.classEq (SemanticCore.Class.cv nb078AlphaDummy295)
(Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv nb078AlphaDummy296)))))).fv ∪ (Compiler.CompactSourceSyntax.synCcompl
(SemanticCore.Class.cab nb078AlphaDummy295
(Compiler.CompactSourceSyntax.synWrex nb078AlphaDummy296 (SemanticCore.Class.cv nb078AlphaDummy288)
(SemanticCore.Wff.classEq (SemanticCore.Class.cv nb078AlphaDummy295)
(Compiler.CompactSourceSyntax.synCun
(Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv nb078AlphaDummy296))
(Compiler.CompactSourceSyntax.synCsn Compiler.CompactSourceSyntax.synC0c)))))).fv
theorem
NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb078_fresh_1279
(g : SemanticCore.Var)
:
nb078AlphaDummy300 g ∉
(Compiler.CompactSourceSyntax.synCcompl
(SemanticCore.Class.cab (nb078AlphaDummy297 g)
(Compiler.CompactSourceSyntax.synWrex (nb078AlphaDummy298 g) (SemanticCore.Class.cv (nb078AlphaDummy290 g))
(SemanticCore.Wff.classEq (SemanticCore.Class.cv (nb078AlphaDummy297 g))
(Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv (nb078AlphaDummy298 g))))))).fv ∪ (Compiler.CompactSourceSyntax.synCcompl
(SemanticCore.Class.cab (nb078AlphaDummy297 g)
(Compiler.CompactSourceSyntax.synWrex (nb078AlphaDummy298 g) (SemanticCore.Class.cv (nb078AlphaDummy291 g))
(SemanticCore.Wff.classEq (SemanticCore.Class.cv (nb078AlphaDummy297 g))
(Compiler.CompactSourceSyntax.synCun
(Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv (nb078AlphaDummy298 g)))
(Compiler.CompactSourceSyntax.synCsn Compiler.CompactSourceSyntax.synC0c)))))).fv
theorem
NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb078_fresh_1280 :
nb078AlphaDummy335 ∉
(Compiler.CompactSourceSyntax.synCcompl
(SemanticCore.Class.cab nb078AlphaDummy331
(Compiler.CompactSourceSyntax.synWrex nb078AlphaDummy332 (SemanticCore.Class.cv nb078AlphaDummy287)
(SemanticCore.Wff.classEq (SemanticCore.Class.cv nb078AlphaDummy331)
(Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv nb078AlphaDummy332)))))).fv ∪ (Compiler.CompactSourceSyntax.synCcompl
(SemanticCore.Class.cab nb078AlphaDummy331
(Compiler.CompactSourceSyntax.synWrex nb078AlphaDummy332 (SemanticCore.Class.cv nb078AlphaDummy289)
(SemanticCore.Wff.classEq (SemanticCore.Class.cv nb078AlphaDummy331)
(Compiler.CompactSourceSyntax.synCun
(Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv nb078AlphaDummy332))
(Compiler.CompactSourceSyntax.synCsn Compiler.CompactSourceSyntax.synC0c)))))).fv
theorem
NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb078_fresh_1281
(g : SemanticCore.Var)
:
nb078AlphaDummy336 g ∉
(Compiler.CompactSourceSyntax.synCcompl
(SemanticCore.Class.cab (nb078AlphaDummy333 g)
(Compiler.CompactSourceSyntax.synWrex (nb078AlphaDummy334 g) (SemanticCore.Class.cv (nb078AlphaDummy290 g))
(SemanticCore.Wff.classEq (SemanticCore.Class.cv (nb078AlphaDummy333 g))
(Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv (nb078AlphaDummy334 g))))))).fv ∪ (Compiler.CompactSourceSyntax.synCcompl
(SemanticCore.Class.cab (nb078AlphaDummy333 g)
(Compiler.CompactSourceSyntax.synWrex (nb078AlphaDummy334 g) (SemanticCore.Class.cv (nb078AlphaDummy292 g))
(SemanticCore.Wff.classEq (SemanticCore.Class.cv (nb078AlphaDummy333 g))
(Compiler.CompactSourceSyntax.synCun
(Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv (nb078AlphaDummy334 g)))
(Compiler.CompactSourceSyntax.synCsn Compiler.CompactSourceSyntax.synC0c)))))).fv
theorem
NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb078_fresh_1282 :
nb078AlphaDummy377 ∉
(Compiler.CompactSourceSyntax.synCcompl
(SemanticCore.Class.cab nb078AlphaDummy373
(Compiler.CompactSourceSyntax.synWrex nb078AlphaDummy374 (SemanticCore.Class.cv nb078AlphaDummy367)
(SemanticCore.Wff.classEq (SemanticCore.Class.cv nb078AlphaDummy373)
(Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv nb078AlphaDummy374)))))).fv ∪ (Compiler.CompactSourceSyntax.synCcompl
(SemanticCore.Class.cab nb078AlphaDummy373
(Compiler.CompactSourceSyntax.synWrex nb078AlphaDummy374 (SemanticCore.Class.cv nb078AlphaDummy368)
(SemanticCore.Wff.classEq (SemanticCore.Class.cv nb078AlphaDummy373)
(Compiler.CompactSourceSyntax.synCun
(Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv nb078AlphaDummy374))
(Compiler.CompactSourceSyntax.synCsn Compiler.CompactSourceSyntax.synC0c)))))).fv
theorem
NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb078_fresh_1283
(g : SemanticCore.Var)
:
nb078AlphaDummy378 g ∉
(Compiler.CompactSourceSyntax.synCcompl
(SemanticCore.Class.cab (nb078AlphaDummy375 g)
(Compiler.CompactSourceSyntax.synWrex (nb078AlphaDummy376 g) (SemanticCore.Class.cv (nb078AlphaDummy369 g))
(SemanticCore.Wff.classEq (SemanticCore.Class.cv (nb078AlphaDummy375 g))
(Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv (nb078AlphaDummy376 g))))))).fv ∪ (Compiler.CompactSourceSyntax.synCcompl
(SemanticCore.Class.cab (nb078AlphaDummy375 g)
(Compiler.CompactSourceSyntax.synWrex (nb078AlphaDummy376 g) (SemanticCore.Class.cv (nb078AlphaDummy370 g))
(SemanticCore.Wff.classEq (SemanticCore.Class.cv (nb078AlphaDummy375 g))
(Compiler.CompactSourceSyntax.synCun
(Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv (nb078AlphaDummy376 g)))
(Compiler.CompactSourceSyntax.synCsn Compiler.CompactSourceSyntax.synC0c)))))).fv
theorem
NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb078_fresh_1284 :
nb078AlphaDummy413 ∉
(Compiler.CompactSourceSyntax.synCcompl
(SemanticCore.Class.cab nb078AlphaDummy409
(Compiler.CompactSourceSyntax.synWrex nb078AlphaDummy410 (SemanticCore.Class.cv nb078AlphaDummy368)
(SemanticCore.Wff.classEq (SemanticCore.Class.cv nb078AlphaDummy409)
(Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv nb078AlphaDummy410)))))).fv ∪ (Compiler.CompactSourceSyntax.synCcompl
(SemanticCore.Class.cab nb078AlphaDummy409
(Compiler.CompactSourceSyntax.synWrex nb078AlphaDummy410 (SemanticCore.Class.cv nb078AlphaDummy367)
(SemanticCore.Wff.classEq (SemanticCore.Class.cv nb078AlphaDummy409)
(Compiler.CompactSourceSyntax.synCun
(Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv nb078AlphaDummy410))
(Compiler.CompactSourceSyntax.synCsn Compiler.CompactSourceSyntax.synC0c)))))).fv
theorem
NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb078_fresh_1285
(g : SemanticCore.Var)
:
nb078AlphaDummy414 g ∉
(Compiler.CompactSourceSyntax.synCcompl
(SemanticCore.Class.cab (nb078AlphaDummy411 g)
(Compiler.CompactSourceSyntax.synWrex (nb078AlphaDummy412 g) (SemanticCore.Class.cv (nb078AlphaDummy370 g))
(SemanticCore.Wff.classEq (SemanticCore.Class.cv (nb078AlphaDummy411 g))
(Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv (nb078AlphaDummy412 g))))))).fv ∪ (Compiler.CompactSourceSyntax.synCcompl
(SemanticCore.Class.cab (nb078AlphaDummy411 g)
(Compiler.CompactSourceSyntax.synWrex (nb078AlphaDummy412 g) (SemanticCore.Class.cv (nb078AlphaDummy369 g))
(SemanticCore.Wff.classEq (SemanticCore.Class.cv (nb078AlphaDummy411 g))
(Compiler.CompactSourceSyntax.synCun
(Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv (nb078AlphaDummy412 g)))
(Compiler.CompactSourceSyntax.synCsn Compiler.CompactSourceSyntax.synC0c)))))).fv
theorem
NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb078_fresh_1286 :
nb078AlphaDummy449 ∉
(Compiler.CompactSourceSyntax.synCcompl
(SemanticCore.Class.cab nb078AlphaDummy445
(Compiler.CompactSourceSyntax.synWrex nb078AlphaDummy446 (SemanticCore.Class.cv nb078AlphaDummy289)
(SemanticCore.Wff.classEq (SemanticCore.Class.cv nb078AlphaDummy445)
(Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv nb078AlphaDummy446)))))).fv ∪ (Compiler.CompactSourceSyntax.synCcompl
(SemanticCore.Class.cab nb078AlphaDummy445
(Compiler.CompactSourceSyntax.synWrex nb078AlphaDummy446 (SemanticCore.Class.cv nb078AlphaDummy288)
(SemanticCore.Wff.classEq (SemanticCore.Class.cv nb078AlphaDummy445)
(Compiler.CompactSourceSyntax.synCun
(Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv nb078AlphaDummy446))
(Compiler.CompactSourceSyntax.synCsn Compiler.CompactSourceSyntax.synC0c)))))).fv
theorem
NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb078_fresh_1287
(g : SemanticCore.Var)
:
nb078AlphaDummy450 g ∉
(Compiler.CompactSourceSyntax.synCcompl
(SemanticCore.Class.cab (nb078AlphaDummy447 g)
(Compiler.CompactSourceSyntax.synWrex (nb078AlphaDummy448 g) (SemanticCore.Class.cv (nb078AlphaDummy292 g))
(SemanticCore.Wff.classEq (SemanticCore.Class.cv (nb078AlphaDummy447 g))
(Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv (nb078AlphaDummy448 g))))))).fv ∪ (Compiler.CompactSourceSyntax.synCcompl
(SemanticCore.Class.cab (nb078AlphaDummy447 g)
(Compiler.CompactSourceSyntax.synWrex (nb078AlphaDummy448 g) (SemanticCore.Class.cv (nb078AlphaDummy291 g))
(SemanticCore.Wff.classEq (SemanticCore.Class.cv (nb078AlphaDummy447 g))
(Compiler.CompactSourceSyntax.synCun
(Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv (nb078AlphaDummy448 g)))
(Compiler.CompactSourceSyntax.synCsn Compiler.CompactSourceSyntax.synC0c)))))).fv
theorem
NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb078_fresh_1288 :
nb078AlphaDummy489 ∉
(Compiler.CompactSourceSyntax.synCcompl
(SemanticCore.Class.cab nb078AlphaDummy485
(Compiler.CompactSourceSyntax.synWrex nb078AlphaDummy486 (SemanticCore.Class.cv nb078AlphaDummy482)
(SemanticCore.Wff.classEq (SemanticCore.Class.cv nb078AlphaDummy485)
(Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv nb078AlphaDummy486)))))).fv ∪ (Compiler.CompactSourceSyntax.synCcompl
(SemanticCore.Class.cab nb078AlphaDummy485
(Compiler.CompactSourceSyntax.synWrex nb078AlphaDummy486 (SemanticCore.Class.cv nb078AlphaDummy481)
(SemanticCore.Wff.classEq (SemanticCore.Class.cv nb078AlphaDummy485)
(Compiler.CompactSourceSyntax.synCun
(Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv nb078AlphaDummy486))
(Compiler.CompactSourceSyntax.synCsn Compiler.CompactSourceSyntax.synC0c)))))).fv
theorem
NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb078_fresh_1289
(g : SemanticCore.Var)
:
nb078AlphaDummy490 g ∉
(Compiler.CompactSourceSyntax.synCcompl
(SemanticCore.Class.cab (nb078AlphaDummy487 g)
(Compiler.CompactSourceSyntax.synWrex (nb078AlphaDummy488 g) (SemanticCore.Class.cv (nb078AlphaDummy484 g))
(SemanticCore.Wff.classEq (SemanticCore.Class.cv (nb078AlphaDummy487 g))
(Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv (nb078AlphaDummy488 g))))))).fv ∪ (Compiler.CompactSourceSyntax.synCcompl
(SemanticCore.Class.cab (nb078AlphaDummy487 g)
(Compiler.CompactSourceSyntax.synWrex (nb078AlphaDummy488 g) (SemanticCore.Class.cv (nb078AlphaDummy483 g))
(SemanticCore.Wff.classEq (SemanticCore.Class.cv (nb078AlphaDummy487 g))
(Compiler.CompactSourceSyntax.synCun
(Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv (nb078AlphaDummy488 g)))
(Compiler.CompactSourceSyntax.synCsn Compiler.CompactSourceSyntax.synC0c)))))).fv
theorem
NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb078_fresh_1290 :
nb078AlphaDummy533 ∉
(Compiler.CompactSourceSyntax.synCcompl
(SemanticCore.Class.cab nb078AlphaDummy529
(Compiler.CompactSourceSyntax.synWrex nb078AlphaDummy530 (SemanticCore.Class.cv nb078AlphaDummy526)
(SemanticCore.Wff.classEq (SemanticCore.Class.cv nb078AlphaDummy529)
(Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv nb078AlphaDummy530)))))).fv ∪ (Compiler.CompactSourceSyntax.synCcompl
(SemanticCore.Class.cab nb078AlphaDummy529
(Compiler.CompactSourceSyntax.synWrex nb078AlphaDummy530 (SemanticCore.Class.cv nb078AlphaDummy525)
(SemanticCore.Wff.classEq (SemanticCore.Class.cv nb078AlphaDummy529)
(Compiler.CompactSourceSyntax.synCun
(Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv nb078AlphaDummy530))
(Compiler.CompactSourceSyntax.synCsn Compiler.CompactSourceSyntax.synC0c)))))).fv
theorem
NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb078_fresh_1291
(g : SemanticCore.Var)
:
nb078AlphaDummy534 g ∉
(Compiler.CompactSourceSyntax.synCcompl
(SemanticCore.Class.cab (nb078AlphaDummy531 g)
(Compiler.CompactSourceSyntax.synWrex (nb078AlphaDummy532 g) (SemanticCore.Class.cv (nb078AlphaDummy528 g))
(SemanticCore.Wff.classEq (SemanticCore.Class.cv (nb078AlphaDummy531 g))
(Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv (nb078AlphaDummy532 g))))))).fv ∪ (Compiler.CompactSourceSyntax.synCcompl
(SemanticCore.Class.cab (nb078AlphaDummy531 g)
(Compiler.CompactSourceSyntax.synWrex (nb078AlphaDummy532 g) (SemanticCore.Class.cv (nb078AlphaDummy527 g))
(SemanticCore.Wff.classEq (SemanticCore.Class.cv (nb078AlphaDummy531 g))
(Compiler.CompactSourceSyntax.synCun
(Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv (nb078AlphaDummy532 g)))
(Compiler.CompactSourceSyntax.synCsn Compiler.CompactSourceSyntax.synC0c)))))).fv
theorem
NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb078_fresh_1292 :
nb078AlphaDummy581 ∉
(Compiler.CompactSourceSyntax.synCcompl
(SemanticCore.Class.cab nb078AlphaDummy577
(Compiler.CompactSourceSyntax.synWrex nb078AlphaDummy578 (SemanticCore.Class.cv nb078AlphaDummy569)
(SemanticCore.Wff.classEq (SemanticCore.Class.cv nb078AlphaDummy577)
(Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv nb078AlphaDummy578)))))).fv ∪ (Compiler.CompactSourceSyntax.synCcompl
(SemanticCore.Class.cab nb078AlphaDummy577
(Compiler.CompactSourceSyntax.synWrex nb078AlphaDummy578 (SemanticCore.Class.cv nb078AlphaDummy570)
(SemanticCore.Wff.classEq (SemanticCore.Class.cv nb078AlphaDummy577)
(Compiler.CompactSourceSyntax.synCun
(Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv nb078AlphaDummy578))
(Compiler.CompactSourceSyntax.synCsn Compiler.CompactSourceSyntax.synC0c)))))).fv
theorem
NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb078_fresh_1293
(g : SemanticCore.Var)
:
nb078AlphaDummy582 g ∉
(Compiler.CompactSourceSyntax.synCcompl
(SemanticCore.Class.cab (nb078AlphaDummy579 g)
(Compiler.CompactSourceSyntax.synWrex (nb078AlphaDummy580 g) (SemanticCore.Class.cv (nb078AlphaDummy572 g))
(SemanticCore.Wff.classEq (SemanticCore.Class.cv (nb078AlphaDummy579 g))
(Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv (nb078AlphaDummy580 g))))))).fv ∪ (Compiler.CompactSourceSyntax.synCcompl
(SemanticCore.Class.cab (nb078AlphaDummy579 g)
(Compiler.CompactSourceSyntax.synWrex (nb078AlphaDummy580 g) (SemanticCore.Class.cv (nb078AlphaDummy573 g))
(SemanticCore.Wff.classEq (SemanticCore.Class.cv (nb078AlphaDummy579 g))
(Compiler.CompactSourceSyntax.synCun
(Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv (nb078AlphaDummy580 g)))
(Compiler.CompactSourceSyntax.synCsn Compiler.CompactSourceSyntax.synC0c)))))).fv
theorem
NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb078_fresh_1294 :
nb078AlphaDummy617 ∉
(Compiler.CompactSourceSyntax.synCcompl
(SemanticCore.Class.cab nb078AlphaDummy613
(Compiler.CompactSourceSyntax.synWrex nb078AlphaDummy614 (SemanticCore.Class.cv nb078AlphaDummy569)
(SemanticCore.Wff.classEq (SemanticCore.Class.cv nb078AlphaDummy613)
(Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv nb078AlphaDummy614)))))).fv ∪ (Compiler.CompactSourceSyntax.synCcompl
(SemanticCore.Class.cab nb078AlphaDummy613
(Compiler.CompactSourceSyntax.synWrex nb078AlphaDummy614 (SemanticCore.Class.cv nb078AlphaDummy571)
(SemanticCore.Wff.classEq (SemanticCore.Class.cv nb078AlphaDummy613)
(Compiler.CompactSourceSyntax.synCun
(Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv nb078AlphaDummy614))
(Compiler.CompactSourceSyntax.synCsn Compiler.CompactSourceSyntax.synC0c)))))).fv
theorem
NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb078_fresh_1295
(g : SemanticCore.Var)
:
nb078AlphaDummy618 g ∉
(Compiler.CompactSourceSyntax.synCcompl
(SemanticCore.Class.cab (nb078AlphaDummy615 g)
(Compiler.CompactSourceSyntax.synWrex (nb078AlphaDummy616 g) (SemanticCore.Class.cv (nb078AlphaDummy572 g))
(SemanticCore.Wff.classEq (SemanticCore.Class.cv (nb078AlphaDummy615 g))
(Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv (nb078AlphaDummy616 g))))))).fv ∪ (Compiler.CompactSourceSyntax.synCcompl
(SemanticCore.Class.cab (nb078AlphaDummy615 g)
(Compiler.CompactSourceSyntax.synWrex (nb078AlphaDummy616 g) (SemanticCore.Class.cv (nb078AlphaDummy574 g))
(SemanticCore.Wff.classEq (SemanticCore.Class.cv (nb078AlphaDummy615 g))
(Compiler.CompactSourceSyntax.synCun
(Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv (nb078AlphaDummy616 g)))
(Compiler.CompactSourceSyntax.synCsn Compiler.CompactSourceSyntax.synC0c)))))).fv
theorem
NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb078_fresh_1296 :
nb078AlphaDummy659 ∉
(Compiler.CompactSourceSyntax.synCcompl
(SemanticCore.Class.cab nb078AlphaDummy655
(Compiler.CompactSourceSyntax.synWrex nb078AlphaDummy656 (SemanticCore.Class.cv nb078AlphaDummy649)
(SemanticCore.Wff.classEq (SemanticCore.Class.cv nb078AlphaDummy655)
(Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv nb078AlphaDummy656)))))).fv ∪ (Compiler.CompactSourceSyntax.synCcompl
(SemanticCore.Class.cab nb078AlphaDummy655
(Compiler.CompactSourceSyntax.synWrex nb078AlphaDummy656 (SemanticCore.Class.cv nb078AlphaDummy650)
(SemanticCore.Wff.classEq (SemanticCore.Class.cv nb078AlphaDummy655)
(Compiler.CompactSourceSyntax.synCun
(Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv nb078AlphaDummy656))
(Compiler.CompactSourceSyntax.synCsn Compiler.CompactSourceSyntax.synC0c)))))).fv
theorem
NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb078_fresh_1297
(g : SemanticCore.Var)
:
nb078AlphaDummy660 g ∉
(Compiler.CompactSourceSyntax.synCcompl
(SemanticCore.Class.cab (nb078AlphaDummy657 g)
(Compiler.CompactSourceSyntax.synWrex (nb078AlphaDummy658 g) (SemanticCore.Class.cv (nb078AlphaDummy651 g))
(SemanticCore.Wff.classEq (SemanticCore.Class.cv (nb078AlphaDummy657 g))
(Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv (nb078AlphaDummy658 g))))))).fv ∪ (Compiler.CompactSourceSyntax.synCcompl
(SemanticCore.Class.cab (nb078AlphaDummy657 g)
(Compiler.CompactSourceSyntax.synWrex (nb078AlphaDummy658 g) (SemanticCore.Class.cv (nb078AlphaDummy652 g))
(SemanticCore.Wff.classEq (SemanticCore.Class.cv (nb078AlphaDummy657 g))
(Compiler.CompactSourceSyntax.synCun
(Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv (nb078AlphaDummy658 g)))
(Compiler.CompactSourceSyntax.synCsn Compiler.CompactSourceSyntax.synC0c)))))).fv
theorem
NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb078_fresh_1298 :
nb078AlphaDummy695 ∉
(Compiler.CompactSourceSyntax.synCcompl
(SemanticCore.Class.cab nb078AlphaDummy691
(Compiler.CompactSourceSyntax.synWrex nb078AlphaDummy692 (SemanticCore.Class.cv nb078AlphaDummy650)
(SemanticCore.Wff.classEq (SemanticCore.Class.cv nb078AlphaDummy691)
(Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv nb078AlphaDummy692)))))).fv ∪ (Compiler.CompactSourceSyntax.synCcompl
(SemanticCore.Class.cab nb078AlphaDummy691
(Compiler.CompactSourceSyntax.synWrex nb078AlphaDummy692 (SemanticCore.Class.cv nb078AlphaDummy649)
(SemanticCore.Wff.classEq (SemanticCore.Class.cv nb078AlphaDummy691)
(Compiler.CompactSourceSyntax.synCun
(Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv nb078AlphaDummy692))
(Compiler.CompactSourceSyntax.synCsn Compiler.CompactSourceSyntax.synC0c)))))).fv
theorem
NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb078_fresh_1299
(g : SemanticCore.Var)
:
nb078AlphaDummy696 g ∉
(Compiler.CompactSourceSyntax.synCcompl
(SemanticCore.Class.cab (nb078AlphaDummy693 g)
(Compiler.CompactSourceSyntax.synWrex (nb078AlphaDummy694 g) (SemanticCore.Class.cv (nb078AlphaDummy652 g))
(SemanticCore.Wff.classEq (SemanticCore.Class.cv (nb078AlphaDummy693 g))
(Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv (nb078AlphaDummy694 g))))))).fv ∪ (Compiler.CompactSourceSyntax.synCcompl
(SemanticCore.Class.cab (nb078AlphaDummy693 g)
(Compiler.CompactSourceSyntax.synWrex (nb078AlphaDummy694 g) (SemanticCore.Class.cv (nb078AlphaDummy651 g))
(SemanticCore.Wff.classEq (SemanticCore.Class.cv (nb078AlphaDummy693 g))
(Compiler.CompactSourceSyntax.synCun
(Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv (nb078AlphaDummy694 g)))
(Compiler.CompactSourceSyntax.synCsn Compiler.CompactSourceSyntax.synC0c)))))).fv
theorem
NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb078_fresh_1300 :
nb078AlphaDummy731 ∉
(Compiler.CompactSourceSyntax.synCcompl
(SemanticCore.Class.cab nb078AlphaDummy727
(Compiler.CompactSourceSyntax.synWrex nb078AlphaDummy728 (SemanticCore.Class.cv nb078AlphaDummy571)
(SemanticCore.Wff.classEq (SemanticCore.Class.cv nb078AlphaDummy727)
(Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv nb078AlphaDummy728)))))).fv ∪ (Compiler.CompactSourceSyntax.synCcompl
(SemanticCore.Class.cab nb078AlphaDummy727
(Compiler.CompactSourceSyntax.synWrex nb078AlphaDummy728 (SemanticCore.Class.cv nb078AlphaDummy570)
(SemanticCore.Wff.classEq (SemanticCore.Class.cv nb078AlphaDummy727)
(Compiler.CompactSourceSyntax.synCun
(Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv nb078AlphaDummy728))
(Compiler.CompactSourceSyntax.synCsn Compiler.CompactSourceSyntax.synC0c)))))).fv
theorem
NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb078_fresh_1301
(g : SemanticCore.Var)
:
nb078AlphaDummy732 g ∉
(Compiler.CompactSourceSyntax.synCcompl
(SemanticCore.Class.cab (nb078AlphaDummy729 g)
(Compiler.CompactSourceSyntax.synWrex (nb078AlphaDummy730 g) (SemanticCore.Class.cv (nb078AlphaDummy574 g))
(SemanticCore.Wff.classEq (SemanticCore.Class.cv (nb078AlphaDummy729 g))
(Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv (nb078AlphaDummy730 g))))))).fv ∪ (Compiler.CompactSourceSyntax.synCcompl
(SemanticCore.Class.cab (nb078AlphaDummy729 g)
(Compiler.CompactSourceSyntax.synWrex (nb078AlphaDummy730 g) (SemanticCore.Class.cv (nb078AlphaDummy573 g))
(SemanticCore.Wff.classEq (SemanticCore.Class.cv (nb078AlphaDummy729 g))
(Compiler.CompactSourceSyntax.synCun
(Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv (nb078AlphaDummy730 g)))
(Compiler.CompactSourceSyntax.synCsn Compiler.CompactSourceSyntax.synC0c)))))).fv
theorem
NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb078_fresh_1302 :
nb078AlphaDummy779 ∉
(Compiler.CompactSourceSyntax.synCcompl
(SemanticCore.Class.cab nb078AlphaDummy775
(Compiler.CompactSourceSyntax.synWrex nb078AlphaDummy776 (SemanticCore.Class.cv nb078AlphaDummy767)
(SemanticCore.Wff.classEq (SemanticCore.Class.cv nb078AlphaDummy775)
(Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv nb078AlphaDummy776)))))).fv ∪ (Compiler.CompactSourceSyntax.synCcompl
(SemanticCore.Class.cab nb078AlphaDummy775
(Compiler.CompactSourceSyntax.synWrex nb078AlphaDummy776 (SemanticCore.Class.cv nb078AlphaDummy768)
(SemanticCore.Wff.classEq (SemanticCore.Class.cv nb078AlphaDummy775)
(Compiler.CompactSourceSyntax.synCun
(Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv nb078AlphaDummy776))
(Compiler.CompactSourceSyntax.synCsn Compiler.CompactSourceSyntax.synC0c)))))).fv
theorem
NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb078_fresh_1303
(h : SemanticCore.Var)
:
nb078AlphaDummy780 h ∉
(Compiler.CompactSourceSyntax.synCcompl
(SemanticCore.Class.cab (nb078AlphaDummy777 h)
(Compiler.CompactSourceSyntax.synWrex (nb078AlphaDummy778 h) (SemanticCore.Class.cv (nb078AlphaDummy770 h))
(SemanticCore.Wff.classEq (SemanticCore.Class.cv (nb078AlphaDummy777 h))
(Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv (nb078AlphaDummy778 h))))))).fv ∪ (Compiler.CompactSourceSyntax.synCcompl
(SemanticCore.Class.cab (nb078AlphaDummy777 h)
(Compiler.CompactSourceSyntax.synWrex (nb078AlphaDummy778 h) (SemanticCore.Class.cv (nb078AlphaDummy771 h))
(SemanticCore.Wff.classEq (SemanticCore.Class.cv (nb078AlphaDummy777 h))
(Compiler.CompactSourceSyntax.synCun
(Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv (nb078AlphaDummy778 h)))
(Compiler.CompactSourceSyntax.synCsn Compiler.CompactSourceSyntax.synC0c)))))).fv
theorem
NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb078_fresh_1304 :
nb078AlphaDummy815 ∉
(Compiler.CompactSourceSyntax.synCcompl
(SemanticCore.Class.cab nb078AlphaDummy811
(Compiler.CompactSourceSyntax.synWrex nb078AlphaDummy812 (SemanticCore.Class.cv nb078AlphaDummy767)
(SemanticCore.Wff.classEq (SemanticCore.Class.cv nb078AlphaDummy811)
(Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv nb078AlphaDummy812)))))).fv ∪ (Compiler.CompactSourceSyntax.synCcompl
(SemanticCore.Class.cab nb078AlphaDummy811
(Compiler.CompactSourceSyntax.synWrex nb078AlphaDummy812 (SemanticCore.Class.cv nb078AlphaDummy769)
(SemanticCore.Wff.classEq (SemanticCore.Class.cv nb078AlphaDummy811)
(Compiler.CompactSourceSyntax.synCun
(Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv nb078AlphaDummy812))
(Compiler.CompactSourceSyntax.synCsn Compiler.CompactSourceSyntax.synC0c)))))).fv
theorem
NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb078_fresh_1305
(h : SemanticCore.Var)
:
nb078AlphaDummy816 h ∉
(Compiler.CompactSourceSyntax.synCcompl
(SemanticCore.Class.cab (nb078AlphaDummy813 h)
(Compiler.CompactSourceSyntax.synWrex (nb078AlphaDummy814 h) (SemanticCore.Class.cv (nb078AlphaDummy770 h))
(SemanticCore.Wff.classEq (SemanticCore.Class.cv (nb078AlphaDummy813 h))
(Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv (nb078AlphaDummy814 h))))))).fv ∪ (Compiler.CompactSourceSyntax.synCcompl
(SemanticCore.Class.cab (nb078AlphaDummy813 h)
(Compiler.CompactSourceSyntax.synWrex (nb078AlphaDummy814 h) (SemanticCore.Class.cv (nb078AlphaDummy772 h))
(SemanticCore.Wff.classEq (SemanticCore.Class.cv (nb078AlphaDummy813 h))
(Compiler.CompactSourceSyntax.synCun
(Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv (nb078AlphaDummy814 h)))
(Compiler.CompactSourceSyntax.synCsn Compiler.CompactSourceSyntax.synC0c)))))).fv
theorem
NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb078_fresh_1306 :
nb078AlphaDummy857 ∉
(Compiler.CompactSourceSyntax.synCcompl
(SemanticCore.Class.cab nb078AlphaDummy853
(Compiler.CompactSourceSyntax.synWrex nb078AlphaDummy854 (SemanticCore.Class.cv nb078AlphaDummy847)
(SemanticCore.Wff.classEq (SemanticCore.Class.cv nb078AlphaDummy853)
(Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv nb078AlphaDummy854)))))).fv ∪ (Compiler.CompactSourceSyntax.synCcompl
(SemanticCore.Class.cab nb078AlphaDummy853
(Compiler.CompactSourceSyntax.synWrex nb078AlphaDummy854 (SemanticCore.Class.cv nb078AlphaDummy848)
(SemanticCore.Wff.classEq (SemanticCore.Class.cv nb078AlphaDummy853)
(Compiler.CompactSourceSyntax.synCun
(Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv nb078AlphaDummy854))
(Compiler.CompactSourceSyntax.synCsn Compiler.CompactSourceSyntax.synC0c)))))).fv
theorem
NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb078_fresh_1307
(h : SemanticCore.Var)
:
nb078AlphaDummy858 h ∉
(Compiler.CompactSourceSyntax.synCcompl
(SemanticCore.Class.cab (nb078AlphaDummy855 h)
(Compiler.CompactSourceSyntax.synWrex (nb078AlphaDummy856 h) (SemanticCore.Class.cv (nb078AlphaDummy849 h))
(SemanticCore.Wff.classEq (SemanticCore.Class.cv (nb078AlphaDummy855 h))
(Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv (nb078AlphaDummy856 h))))))).fv ∪ (Compiler.CompactSourceSyntax.synCcompl
(SemanticCore.Class.cab (nb078AlphaDummy855 h)
(Compiler.CompactSourceSyntax.synWrex (nb078AlphaDummy856 h) (SemanticCore.Class.cv (nb078AlphaDummy850 h))
(SemanticCore.Wff.classEq (SemanticCore.Class.cv (nb078AlphaDummy855 h))
(Compiler.CompactSourceSyntax.synCun
(Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv (nb078AlphaDummy856 h)))
(Compiler.CompactSourceSyntax.synCsn Compiler.CompactSourceSyntax.synC0c)))))).fv
theorem
NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb078_fresh_1308 :
nb078AlphaDummy893 ∉
(Compiler.CompactSourceSyntax.synCcompl
(SemanticCore.Class.cab nb078AlphaDummy889
(Compiler.CompactSourceSyntax.synWrex nb078AlphaDummy890 (SemanticCore.Class.cv nb078AlphaDummy848)
(SemanticCore.Wff.classEq (SemanticCore.Class.cv nb078AlphaDummy889)
(Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv nb078AlphaDummy890)))))).fv ∪ (Compiler.CompactSourceSyntax.synCcompl
(SemanticCore.Class.cab nb078AlphaDummy889
(Compiler.CompactSourceSyntax.synWrex nb078AlphaDummy890 (SemanticCore.Class.cv nb078AlphaDummy847)
(SemanticCore.Wff.classEq (SemanticCore.Class.cv nb078AlphaDummy889)
(Compiler.CompactSourceSyntax.synCun
(Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv nb078AlphaDummy890))
(Compiler.CompactSourceSyntax.synCsn Compiler.CompactSourceSyntax.synC0c)))))).fv
theorem
NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb078_fresh_1309
(h : SemanticCore.Var)
:
nb078AlphaDummy894 h ∉
(Compiler.CompactSourceSyntax.synCcompl
(SemanticCore.Class.cab (nb078AlphaDummy891 h)
(Compiler.CompactSourceSyntax.synWrex (nb078AlphaDummy892 h) (SemanticCore.Class.cv (nb078AlphaDummy850 h))
(SemanticCore.Wff.classEq (SemanticCore.Class.cv (nb078AlphaDummy891 h))
(Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv (nb078AlphaDummy892 h))))))).fv ∪ (Compiler.CompactSourceSyntax.synCcompl
(SemanticCore.Class.cab (nb078AlphaDummy891 h)
(Compiler.CompactSourceSyntax.synWrex (nb078AlphaDummy892 h) (SemanticCore.Class.cv (nb078AlphaDummy849 h))
(SemanticCore.Wff.classEq (SemanticCore.Class.cv (nb078AlphaDummy891 h))
(Compiler.CompactSourceSyntax.synCun
(Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv (nb078AlphaDummy892 h)))
(Compiler.CompactSourceSyntax.synCsn Compiler.CompactSourceSyntax.synC0c)))))).fv
theorem
NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb078_fresh_1310 :
nb078AlphaDummy929 ∉
(Compiler.CompactSourceSyntax.synCcompl
(SemanticCore.Class.cab nb078AlphaDummy925
(Compiler.CompactSourceSyntax.synWrex nb078AlphaDummy926 (SemanticCore.Class.cv nb078AlphaDummy769)
(SemanticCore.Wff.classEq (SemanticCore.Class.cv nb078AlphaDummy925)
(Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv nb078AlphaDummy926)))))).fv ∪ (Compiler.CompactSourceSyntax.synCcompl
(SemanticCore.Class.cab nb078AlphaDummy925
(Compiler.CompactSourceSyntax.synWrex nb078AlphaDummy926 (SemanticCore.Class.cv nb078AlphaDummy768)
(SemanticCore.Wff.classEq (SemanticCore.Class.cv nb078AlphaDummy925)
(Compiler.CompactSourceSyntax.synCun
(Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv nb078AlphaDummy926))
(Compiler.CompactSourceSyntax.synCsn Compiler.CompactSourceSyntax.synC0c)))))).fv
theorem
NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb078_fresh_1311
(h : SemanticCore.Var)
:
nb078AlphaDummy930 h ∉
(Compiler.CompactSourceSyntax.synCcompl
(SemanticCore.Class.cab (nb078AlphaDummy927 h)
(Compiler.CompactSourceSyntax.synWrex (nb078AlphaDummy928 h) (SemanticCore.Class.cv (nb078AlphaDummy772 h))
(SemanticCore.Wff.classEq (SemanticCore.Class.cv (nb078AlphaDummy927 h))
(Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv (nb078AlphaDummy928 h))))))).fv ∪ (Compiler.CompactSourceSyntax.synCcompl
(SemanticCore.Class.cab (nb078AlphaDummy927 h)
(Compiler.CompactSourceSyntax.synWrex (nb078AlphaDummy928 h) (SemanticCore.Class.cv (nb078AlphaDummy771 h))
(SemanticCore.Wff.classEq (SemanticCore.Class.cv (nb078AlphaDummy927 h))
(Compiler.CompactSourceSyntax.synCun
(Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv (nb078AlphaDummy928 h)))
(Compiler.CompactSourceSyntax.synCsn Compiler.CompactSourceSyntax.synC0c)))))).fv
theorem
NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb078_fresh_1312 :
nb078AlphaDummy969 ∉
(Compiler.CompactSourceSyntax.synCcompl
(SemanticCore.Class.cab nb078AlphaDummy965
(Compiler.CompactSourceSyntax.synWrex nb078AlphaDummy966 (SemanticCore.Class.cv nb078AlphaDummy962)
(SemanticCore.Wff.classEq (SemanticCore.Class.cv nb078AlphaDummy965)
(Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv nb078AlphaDummy966)))))).fv ∪ (Compiler.CompactSourceSyntax.synCcompl
(SemanticCore.Class.cab nb078AlphaDummy965
(Compiler.CompactSourceSyntax.synWrex nb078AlphaDummy966 (SemanticCore.Class.cv nb078AlphaDummy961)
(SemanticCore.Wff.classEq (SemanticCore.Class.cv nb078AlphaDummy965)
(Compiler.CompactSourceSyntax.synCun
(Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv nb078AlphaDummy966))
(Compiler.CompactSourceSyntax.synCsn Compiler.CompactSourceSyntax.synC0c)))))).fv
theorem
NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb078_fresh_1313
(h : SemanticCore.Var)
:
nb078AlphaDummy970 h ∉
(Compiler.CompactSourceSyntax.synCcompl
(SemanticCore.Class.cab (nb078AlphaDummy967 h)
(Compiler.CompactSourceSyntax.synWrex (nb078AlphaDummy968 h) (SemanticCore.Class.cv (nb078AlphaDummy964 h))
(SemanticCore.Wff.classEq (SemanticCore.Class.cv (nb078AlphaDummy967 h))
(Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv (nb078AlphaDummy968 h))))))).fv ∪ (Compiler.CompactSourceSyntax.synCcompl
(SemanticCore.Class.cab (nb078AlphaDummy967 h)
(Compiler.CompactSourceSyntax.synWrex (nb078AlphaDummy968 h) (SemanticCore.Class.cv (nb078AlphaDummy963 h))
(SemanticCore.Wff.classEq (SemanticCore.Class.cv (nb078AlphaDummy967 h))
(Compiler.CompactSourceSyntax.synCun
(Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv (nb078AlphaDummy968 h)))
(Compiler.CompactSourceSyntax.synCsn Compiler.CompactSourceSyntax.synC0c)))))).fv
Certificates from NAR4C078C001Part020.
theorem
NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb078_fresh_1443
(h : SemanticCore.Var)
:
nb078AlphaDummy1030 h ∉
(Compiler.CompactSourceSyntax.synCnin (SemanticCore.Class.cv (nb078AlphaDummy1027 h))
(SemanticCore.Class.cv (nb078AlphaDummy1028 h))).fv ∪ (Compiler.CompactSourceSyntax.synCnin (SemanticCore.Class.cv (nb078AlphaDummy1027 h))
(SemanticCore.Class.cv (nb078AlphaDummy1028 h))).fv
theorem
NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb078_fresh_1445
(h : SemanticCore.Var)
:
nb078AlphaDummy1078 h ∉
(Compiler.CompactSourceSyntax.synCnin (SemanticCore.Class.cv (nb078AlphaDummy1075 h))
(SemanticCore.Class.cv (nb078AlphaDummy1076 h))).fv ∪ (Compiler.CompactSourceSyntax.synCnin (SemanticCore.Class.cv (nb078AlphaDummy1075 h))
(SemanticCore.Class.cv (nb078AlphaDummy1076 h))).fv
theorem
NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb078_fresh_1448
(h : SemanticCore.Var)
:
nb078AlphaDummy1114 h ∉
(Compiler.CompactSourceSyntax.synCnin (SemanticCore.Class.cv (nb078AlphaDummy1111 h))
(SemanticCore.Class.cv (nb078AlphaDummy1112 h))).fv ∪ (Compiler.CompactSourceSyntax.synCnin (SemanticCore.Class.cv (nb078AlphaDummy1111 h))
(SemanticCore.Class.cv (nb078AlphaDummy1112 h))).fv
theorem
NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb078_fresh_1451
(h : SemanticCore.Var)
:
nb078AlphaDummy1156 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_fresh_1453
(h : SemanticCore.Var)
:
nb078AlphaDummy1192 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_fresh_1455
(h : SemanticCore.Var)
:
nb078AlphaDummy1228 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_fresh_1500 :
nb078AlphaDummy005 ∉
(Compiler.CompactSourceSyntax.synCnin
(Compiler.CompactSourceSyntax.synCcom (SemanticCore.Class.cv nb078AlphaDummy000)
(Compiler.CompactSourceSyntax.synCcnv (SemanticCore.Class.cv nb078AlphaDummy000)))
Compiler.CompactSourceSyntax.synCid).fv ∪ (Compiler.CompactSourceSyntax.synCnin
(Compiler.CompactSourceSyntax.synCcom (SemanticCore.Class.cv nb078AlphaDummy000)
(Compiler.CompactSourceSyntax.synCcnv (SemanticCore.Class.cv nb078AlphaDummy000)))
Compiler.CompactSourceSyntax.synCid).fv
theorem
NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb078_fresh_1501 :
nb078AlphaDummy283 ∉
(Compiler.CompactSourceSyntax.synCnin
(Compiler.CompactSourceSyntax.synCcom (SemanticCore.Class.cv nb078AlphaDummy001)
(Compiler.CompactSourceSyntax.synCcnv (SemanticCore.Class.cv nb078AlphaDummy001)))
Compiler.CompactSourceSyntax.synCid).fv ∪ (Compiler.CompactSourceSyntax.synCnin
(Compiler.CompactSourceSyntax.synCcom (SemanticCore.Class.cv nb078AlphaDummy001)
(Compiler.CompactSourceSyntax.synCcnv (SemanticCore.Class.cv nb078AlphaDummy001)))
Compiler.CompactSourceSyntax.synCid).fv
Certificates from NAR4C078C001Part021.
theorem
NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb078_fresh_1502 :
nb078AlphaDummy763 ∉
(Compiler.CompactSourceSyntax.synCnin
(Compiler.CompactSourceSyntax.synCcom (SemanticCore.Class.cv nb078AlphaDummy002)
(Compiler.CompactSourceSyntax.synCcnv (SemanticCore.Class.cv nb078AlphaDummy002)))
Compiler.CompactSourceSyntax.synCid).fv ∪ (Compiler.CompactSourceSyntax.synCnin
(Compiler.CompactSourceSyntax.synCcom (SemanticCore.Class.cv nb078AlphaDummy002)
(Compiler.CompactSourceSyntax.synCcnv (SemanticCore.Class.cv nb078AlphaDummy002)))
Compiler.CompactSourceSyntax.synCid).fv
theorem
NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb078_fresh_1503
(f : SemanticCore.Var)
:
nb078AlphaDummy006 f ∉
(Compiler.CompactSourceSyntax.synCnin
(Compiler.CompactSourceSyntax.synCcom (SemanticCore.Class.cv f)
(Compiler.CompactSourceSyntax.synCcnv (SemanticCore.Class.cv f)))
Compiler.CompactSourceSyntax.synCid).fv ∪ (Compiler.CompactSourceSyntax.synCnin
(Compiler.CompactSourceSyntax.synCcom (SemanticCore.Class.cv f)
(Compiler.CompactSourceSyntax.synCcnv (SemanticCore.Class.cv f)))
Compiler.CompactSourceSyntax.synCid).fv
theorem
NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb078_fresh_1504
(g : SemanticCore.Var)
:
nb078AlphaDummy284 g ∉
(Compiler.CompactSourceSyntax.synCnin
(Compiler.CompactSourceSyntax.synCcom (SemanticCore.Class.cv g)
(Compiler.CompactSourceSyntax.synCcnv (SemanticCore.Class.cv g)))
Compiler.CompactSourceSyntax.synCid).fv ∪ (Compiler.CompactSourceSyntax.synCnin
(Compiler.CompactSourceSyntax.synCcom (SemanticCore.Class.cv g)
(Compiler.CompactSourceSyntax.synCcnv (SemanticCore.Class.cv g)))
Compiler.CompactSourceSyntax.synCid).fv
theorem
NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb078_fresh_1505
(h : SemanticCore.Var)
:
nb078AlphaDummy764 h ∉
(Compiler.CompactSourceSyntax.synCnin
(Compiler.CompactSourceSyntax.synCcom (SemanticCore.Class.cv h)
(Compiler.CompactSourceSyntax.synCcnv (SemanticCore.Class.cv h)))
Compiler.CompactSourceSyntax.synCid).fv ∪ (Compiler.CompactSourceSyntax.synCnin
(Compiler.CompactSourceSyntax.synCcom (SemanticCore.Class.cv h)
(Compiler.CompactSourceSyntax.synCcnv (SemanticCore.Class.cv h)))
Compiler.CompactSourceSyntax.synCid).fv
theorem
NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb078_fresh_1506 :
nb078AlphaDummy565 ∉
(Compiler.CompactSourceSyntax.synCnin
(Compiler.CompactSourceSyntax.synCcom
(Compiler.CompactSourceSyntax.synCcnv (SemanticCore.Class.cv nb078AlphaDummy001))
(Compiler.CompactSourceSyntax.synCcnv
(Compiler.CompactSourceSyntax.synCcnv (SemanticCore.Class.cv nb078AlphaDummy001))))
Compiler.CompactSourceSyntax.synCid).fv ∪ (Compiler.CompactSourceSyntax.synCnin
(Compiler.CompactSourceSyntax.synCcom
(Compiler.CompactSourceSyntax.synCcnv (SemanticCore.Class.cv nb078AlphaDummy001))
(Compiler.CompactSourceSyntax.synCcnv
(Compiler.CompactSourceSyntax.synCcnv (SemanticCore.Class.cv nb078AlphaDummy001))))
Compiler.CompactSourceSyntax.synCid).fv
theorem
NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb078_fresh_1507 :
nb078AlphaDummy1045 ∉
(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_fresh_1508
(g : SemanticCore.Var)
:
nb078AlphaDummy566 g ∉
(Compiler.CompactSourceSyntax.synCnin
(Compiler.CompactSourceSyntax.synCcom (Compiler.CompactSourceSyntax.synCcnv (SemanticCore.Class.cv g))
(Compiler.CompactSourceSyntax.synCcnv (Compiler.CompactSourceSyntax.synCcnv (SemanticCore.Class.cv g))))
Compiler.CompactSourceSyntax.synCid).fv ∪ (Compiler.CompactSourceSyntax.synCnin
(Compiler.CompactSourceSyntax.synCcom (Compiler.CompactSourceSyntax.synCcnv (SemanticCore.Class.cv g))
(Compiler.CompactSourceSyntax.synCcnv (Compiler.CompactSourceSyntax.synCcnv (SemanticCore.Class.cv g))))
Compiler.CompactSourceSyntax.synCid).fv
theorem
NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb078_fresh_1509
(h : SemanticCore.Var)
:
nb078AlphaDummy1046 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_fresh_1510 :
nb078AlphaDummy521 ∉
(Compiler.CompactSourceSyntax.synCnin (Compiler.CompactSourceSyntax.synCrn (SemanticCore.Class.cv nb078AlphaDummy001))
(SemanticCore.Class.cv nb078AlphaDummy003)).fv ∪ (Compiler.CompactSourceSyntax.synCnin
(Compiler.CompactSourceSyntax.synCrn (SemanticCore.Class.cv nb078AlphaDummy001))
(SemanticCore.Class.cv nb078AlphaDummy003)).fv
theorem
NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb078_fresh_1511 :
nb078AlphaDummy1001 ∉
(Compiler.CompactSourceSyntax.synCnin (Compiler.CompactSourceSyntax.synCrn (SemanticCore.Class.cv nb078AlphaDummy002))
(SemanticCore.Class.cv nb078AlphaDummy004)).fv ∪ (Compiler.CompactSourceSyntax.synCnin
(Compiler.CompactSourceSyntax.synCrn (SemanticCore.Class.cv nb078AlphaDummy002))
(SemanticCore.Class.cv nb078AlphaDummy004)).fv
theorem
NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb078_fresh_1580 :
nb078AlphaDummy015 ∉
{nb078AlphaDummy009} ∪ {nb078AlphaDummy010} ∪ (Compiler.CompactSourceSyntax.synWex nb078AlphaDummy011
(Compiler.CompactSourceSyntax.synWa
(Compiler.CompactSourceSyntax.synWbr (SemanticCore.Class.cv nb078AlphaDummy009)
(Compiler.CompactSourceSyntax.synCcnv (SemanticCore.Class.cv nb078AlphaDummy000))
(SemanticCore.Class.cv nb078AlphaDummy011))
(Compiler.CompactSourceSyntax.synWbr (SemanticCore.Class.cv nb078AlphaDummy011)
(SemanticCore.Class.cv nb078AlphaDummy000) (SemanticCore.Class.cv nb078AlphaDummy010)))).fv
theorem
NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb078_fresh_1581
(f : SemanticCore.Var)
:
nb078AlphaDummy016 f ∉
{nb078AlphaDummy012 f} ∪ {nb078AlphaDummy013 f} ∪ (Compiler.CompactSourceSyntax.synWex (nb078AlphaDummy014 f)
(Compiler.CompactSourceSyntax.synWa
(Compiler.CompactSourceSyntax.synWbr (SemanticCore.Class.cv (nb078AlphaDummy012 f))
(Compiler.CompactSourceSyntax.synCcnv (SemanticCore.Class.cv f))
(SemanticCore.Class.cv (nb078AlphaDummy014 f)))
(Compiler.CompactSourceSyntax.synWbr (SemanticCore.Class.cv (nb078AlphaDummy014 f)) (SemanticCore.Class.cv f)
(SemanticCore.Class.cv (nb078AlphaDummy013 f))))).fv
theorem
NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb078_fresh_1584 :
nb078AlphaDummy1055 ∉
{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_fresh_1585
(h : SemanticCore.Var)
:
nb078AlphaDummy1056 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_fresh_1588 :
nb078AlphaDummy293 ∉
{nb078AlphaDummy287} ∪ {nb078AlphaDummy288} ∪ (Compiler.CompactSourceSyntax.synWex nb078AlphaDummy289
(Compiler.CompactSourceSyntax.synWa
(Compiler.CompactSourceSyntax.synWbr (SemanticCore.Class.cv nb078AlphaDummy287)
(Compiler.CompactSourceSyntax.synCcnv (SemanticCore.Class.cv nb078AlphaDummy001))
(SemanticCore.Class.cv nb078AlphaDummy289))
(Compiler.CompactSourceSyntax.synWbr (SemanticCore.Class.cv nb078AlphaDummy289)
(SemanticCore.Class.cv nb078AlphaDummy001) (SemanticCore.Class.cv nb078AlphaDummy288)))).fv
theorem
NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb078_fresh_1589
(g : SemanticCore.Var)
:
nb078AlphaDummy294 g ∉
{nb078AlphaDummy290 g} ∪ {nb078AlphaDummy291 g} ∪ (Compiler.CompactSourceSyntax.synWex (nb078AlphaDummy292 g)
(Compiler.CompactSourceSyntax.synWa
(Compiler.CompactSourceSyntax.synWbr (SemanticCore.Class.cv (nb078AlphaDummy290 g))
(Compiler.CompactSourceSyntax.synCcnv (SemanticCore.Class.cv g))
(SemanticCore.Class.cv (nb078AlphaDummy292 g)))
(Compiler.CompactSourceSyntax.synWbr (SemanticCore.Class.cv (nb078AlphaDummy292 g)) (SemanticCore.Class.cv g)
(SemanticCore.Class.cv (nb078AlphaDummy291 g))))).fv
theorem
NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb078_fresh_1592 :
nb078AlphaDummy575 ∉
{nb078AlphaDummy569} ∪ {nb078AlphaDummy570} ∪ (Compiler.CompactSourceSyntax.synWex nb078AlphaDummy571
(Compiler.CompactSourceSyntax.synWa
(Compiler.CompactSourceSyntax.synWbr (SemanticCore.Class.cv nb078AlphaDummy569)
(Compiler.CompactSourceSyntax.synCcnv
(Compiler.CompactSourceSyntax.synCcnv (SemanticCore.Class.cv nb078AlphaDummy001)))
(SemanticCore.Class.cv nb078AlphaDummy571))
(Compiler.CompactSourceSyntax.synWbr (SemanticCore.Class.cv nb078AlphaDummy571)
(Compiler.CompactSourceSyntax.synCcnv (SemanticCore.Class.cv nb078AlphaDummy001))
(SemanticCore.Class.cv nb078AlphaDummy570)))).fv
theorem
NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb078_fresh_1593
(g : SemanticCore.Var)
:
nb078AlphaDummy576 g ∉
{nb078AlphaDummy572 g} ∪ {nb078AlphaDummy573 g} ∪ (Compiler.CompactSourceSyntax.synWex (nb078AlphaDummy574 g)
(Compiler.CompactSourceSyntax.synWa
(Compiler.CompactSourceSyntax.synWbr (SemanticCore.Class.cv (nb078AlphaDummy572 g))
(Compiler.CompactSourceSyntax.synCcnv (Compiler.CompactSourceSyntax.synCcnv (SemanticCore.Class.cv g)))
(SemanticCore.Class.cv (nb078AlphaDummy574 g)))
(Compiler.CompactSourceSyntax.synWbr (SemanticCore.Class.cv (nb078AlphaDummy574 g))
(Compiler.CompactSourceSyntax.synCcnv (SemanticCore.Class.cv g))
(SemanticCore.Class.cv (nb078AlphaDummy573 g))))).fv
theorem
NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb078_fresh_1596 :
nb078AlphaDummy773 ∉
{nb078AlphaDummy767} ∪ {nb078AlphaDummy768} ∪ (Compiler.CompactSourceSyntax.synWex nb078AlphaDummy769
(Compiler.CompactSourceSyntax.synWa
(Compiler.CompactSourceSyntax.synWbr (SemanticCore.Class.cv nb078AlphaDummy767)
(Compiler.CompactSourceSyntax.synCcnv (SemanticCore.Class.cv nb078AlphaDummy002))
(SemanticCore.Class.cv nb078AlphaDummy769))
(Compiler.CompactSourceSyntax.synWbr (SemanticCore.Class.cv nb078AlphaDummy769)
(SemanticCore.Class.cv nb078AlphaDummy002) (SemanticCore.Class.cv nb078AlphaDummy768)))).fv
theorem
NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb078_fresh_1597
(h : SemanticCore.Var)
:
nb078AlphaDummy774 h ∉
{nb078AlphaDummy770 h} ∪ {nb078AlphaDummy771 h} ∪ (Compiler.CompactSourceSyntax.synWex (nb078AlphaDummy772 h)
(Compiler.CompactSourceSyntax.synWa
(Compiler.CompactSourceSyntax.synWbr (SemanticCore.Class.cv (nb078AlphaDummy770 h))
(Compiler.CompactSourceSyntax.synCcnv (SemanticCore.Class.cv h))
(SemanticCore.Class.cv (nb078AlphaDummy772 h)))
(Compiler.CompactSourceSyntax.synWbr (SemanticCore.Class.cv (nb078AlphaDummy772 h)) (SemanticCore.Class.cv h)
(SemanticCore.Class.cv (nb078AlphaDummy771 h))))).fv
theorem
NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb078_support_mem_0000 :
nb078AlphaDummy009 ∈ {nb078AlphaDummy009} ∪ {nb078AlphaDummy010} ∪ (Compiler.CompactSourceSyntax.synWex nb078AlphaDummy011
(Compiler.CompactSourceSyntax.synWa
(Compiler.CompactSourceSyntax.synWbr (SemanticCore.Class.cv nb078AlphaDummy009)
(Compiler.CompactSourceSyntax.synCcnv (SemanticCore.Class.cv nb078AlphaDummy000))
(SemanticCore.Class.cv nb078AlphaDummy011))
(Compiler.CompactSourceSyntax.synWbr (SemanticCore.Class.cv nb078AlphaDummy011)
(SemanticCore.Class.cv nb078AlphaDummy000) (SemanticCore.Class.cv nb078AlphaDummy010)))).fv
theorem
NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb078_support_mem_0001
(f : SemanticCore.Var)
:
nb078AlphaDummy012 f ∈ {nb078AlphaDummy012 f} ∪ {nb078AlphaDummy013 f} ∪ (Compiler.CompactSourceSyntax.synWex (nb078AlphaDummy014 f)
(Compiler.CompactSourceSyntax.synWa
(Compiler.CompactSourceSyntax.synWbr (SemanticCore.Class.cv (nb078AlphaDummy012 f))
(Compiler.CompactSourceSyntax.synCcnv (SemanticCore.Class.cv f))
(SemanticCore.Class.cv (nb078AlphaDummy014 f)))
(Compiler.CompactSourceSyntax.synWbr (SemanticCore.Class.cv (nb078AlphaDummy014 f)) (SemanticCore.Class.cv f)
(SemanticCore.Class.cv (nb078AlphaDummy013 f))))).fv
theorem
NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb078_support_mem_0002 :
nb078AlphaDummy010 ∈ {nb078AlphaDummy009} ∪ {nb078AlphaDummy010} ∪ (Compiler.CompactSourceSyntax.synWex nb078AlphaDummy011
(Compiler.CompactSourceSyntax.synWa
(Compiler.CompactSourceSyntax.synWbr (SemanticCore.Class.cv nb078AlphaDummy009)
(Compiler.CompactSourceSyntax.synCcnv (SemanticCore.Class.cv nb078AlphaDummy000))
(SemanticCore.Class.cv nb078AlphaDummy011))
(Compiler.CompactSourceSyntax.synWbr (SemanticCore.Class.cv nb078AlphaDummy011)
(SemanticCore.Class.cv nb078AlphaDummy000) (SemanticCore.Class.cv nb078AlphaDummy010)))).fv
theorem
NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb078_support_mem_0003
(f : SemanticCore.Var)
:
nb078AlphaDummy013 f ∈ {nb078AlphaDummy012 f} ∪ {nb078AlphaDummy013 f} ∪ (Compiler.CompactSourceSyntax.synWex (nb078AlphaDummy014 f)
(Compiler.CompactSourceSyntax.synWa
(Compiler.CompactSourceSyntax.synWbr (SemanticCore.Class.cv (nb078AlphaDummy012 f))
(Compiler.CompactSourceSyntax.synCcnv (SemanticCore.Class.cv f))
(SemanticCore.Class.cv (nb078AlphaDummy014 f)))
(Compiler.CompactSourceSyntax.synWbr (SemanticCore.Class.cv (nb078AlphaDummy014 f)) (SemanticCore.Class.cv f)
(SemanticCore.Class.cv (nb078AlphaDummy013 f))))).fv
theorem
NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb078_support_mem_0005 :
nb078AlphaDummy009 ∈ (Compiler.CompactSourceSyntax.synCcompl
(SemanticCore.Class.cab nb078AlphaDummy017
(Compiler.CompactSourceSyntax.synWrex nb078AlphaDummy018 (SemanticCore.Class.cv nb078AlphaDummy009)
(SemanticCore.Wff.classEq (SemanticCore.Class.cv nb078AlphaDummy017)
(Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv nb078AlphaDummy018)))))).fv ∪ (Compiler.CompactSourceSyntax.synCcompl
(SemanticCore.Class.cab nb078AlphaDummy017
(Compiler.CompactSourceSyntax.synWrex nb078AlphaDummy018 (SemanticCore.Class.cv nb078AlphaDummy010)
(SemanticCore.Wff.classEq (SemanticCore.Class.cv nb078AlphaDummy017)
(Compiler.CompactSourceSyntax.synCun
(Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv nb078AlphaDummy018))
(Compiler.CompactSourceSyntax.synCsn Compiler.CompactSourceSyntax.synC0c)))))).fv
theorem
NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb078_support_mem_0007
(f : SemanticCore.Var)
:
nb078AlphaDummy012 f ∈ (Compiler.CompactSourceSyntax.synCcompl
(SemanticCore.Class.cab (nb078AlphaDummy019 f)
(Compiler.CompactSourceSyntax.synWrex (nb078AlphaDummy020 f) (SemanticCore.Class.cv (nb078AlphaDummy012 f))
(SemanticCore.Wff.classEq (SemanticCore.Class.cv (nb078AlphaDummy019 f))
(Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv (nb078AlphaDummy020 f))))))).fv ∪ (Compiler.CompactSourceSyntax.synCcompl
(SemanticCore.Class.cab (nb078AlphaDummy019 f)
(Compiler.CompactSourceSyntax.synWrex (nb078AlphaDummy020 f) (SemanticCore.Class.cv (nb078AlphaDummy013 f))
(SemanticCore.Wff.classEq (SemanticCore.Class.cv (nb078AlphaDummy019 f))
(Compiler.CompactSourceSyntax.synCun
(Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv (nb078AlphaDummy020 f)))
(Compiler.CompactSourceSyntax.synCsn Compiler.CompactSourceSyntax.synC0c)))))).fv
theorem
NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb078_support_mem_0008 :
nb078AlphaDummy009 ∈ (SemanticCore.Class.cab nb078AlphaDummy017
(Compiler.CompactSourceSyntax.synWrex nb078AlphaDummy018 (SemanticCore.Class.cv nb078AlphaDummy009)
(SemanticCore.Wff.classEq (SemanticCore.Class.cv nb078AlphaDummy017)
(Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv nb078AlphaDummy018))))).fv ∪ (SemanticCore.Class.cab nb078AlphaDummy017
(Compiler.CompactSourceSyntax.synWrex nb078AlphaDummy018 (SemanticCore.Class.cv nb078AlphaDummy009)
(SemanticCore.Wff.classEq (SemanticCore.Class.cv nb078AlphaDummy017)
(Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv nb078AlphaDummy018))))).fv
theorem
NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb078_support_mem_0009
(f : SemanticCore.Var)
:
nb078AlphaDummy012 f ∈ (SemanticCore.Class.cab (nb078AlphaDummy019 f)
(Compiler.CompactSourceSyntax.synWrex (nb078AlphaDummy020 f) (SemanticCore.Class.cv (nb078AlphaDummy012 f))
(SemanticCore.Wff.classEq (SemanticCore.Class.cv (nb078AlphaDummy019 f))
(Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv (nb078AlphaDummy020 f)))))).fv ∪ (SemanticCore.Class.cab (nb078AlphaDummy019 f)
(Compiler.CompactSourceSyntax.synWrex (nb078AlphaDummy020 f) (SemanticCore.Class.cv (nb078AlphaDummy012 f))
(SemanticCore.Wff.classEq (SemanticCore.Class.cv (nb078AlphaDummy019 f))
(Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv (nb078AlphaDummy020 f)))))).fv
theorem
NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb078_support_mem_0012 :
nb078AlphaDummy025 ∈ (SemanticCore.Wff.classMem (SemanticCore.Class.cv nb078AlphaDummy025) Compiler.CompactSourceSyntax.synCnnc).fv ∪ (Compiler.CompactSourceSyntax.synCplc (SemanticCore.Class.cv nb078AlphaDummy025)
Compiler.CompactSourceSyntax.synC1c).fv ∪ (SemanticCore.Class.cv nb078AlphaDummy025).fv
theorem
NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb078_support_mem_0013
(f : SemanticCore.Var)
:
nb078AlphaDummy027 f ∈ (SemanticCore.Wff.classMem (SemanticCore.Class.cv (nb078AlphaDummy027 f)) Compiler.CompactSourceSyntax.synCnnc).fv ∪ (Compiler.CompactSourceSyntax.synCplc (SemanticCore.Class.cv (nb078AlphaDummy027 f))
Compiler.CompactSourceSyntax.synC1c).fv ∪ (SemanticCore.Class.cv (nb078AlphaDummy027 f)).fv