Nominal proof certificates grouped in dependency order.
Certificates from NAR4C078C001Part178.
noncomputable def
NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb078SplitAlpha0160
(x y h : SemanticCore.Var)
:
Nominal.TAlphaWff
[(nb078AlphaDummy1177, nb078AlphaDummy1178 h), (nb078AlphaDummy1175, nb078AlphaDummy1176 h), (nb078AlphaDummy1130, nb078AlphaDummy1132 h), (nb078AlphaDummy1129, nb078AlphaDummy1131 h), (nb078AlphaDummy1133, nb078AlphaDummy1134 h), (nb078AlphaDummy1051, nb078AlphaDummy1054 h), (nb078AlphaDummy1050, nb078AlphaDummy1053 h), (nb078AlphaDummy1049, nb078AlphaDummy1052 h), (nb078AlphaDummy1055, nb078AlphaDummy1056 h), (nb078AlphaDummy002, h), (nb078AlphaDummy004, y), (nb078AlphaDummy003, x)]
((SemanticCore.Wff.classMem (SemanticCore.Class.cv nb078AlphaDummy1177)
(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)))))).imp
(SemanticCore.Wff.classMem (SemanticCore.Class.cv nb078AlphaDummy1177)
(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)))))).neg)
((SemanticCore.Wff.classMem (SemanticCore.Class.cv (nb078AlphaDummy1178 h))
(SemanticCore.Class.cab (nb078AlphaDummy1173 h)
(Compiler.CompactSourceSyntax.synWrex (nb078AlphaDummy1174 h) (SemanticCore.Class.cv (nb078AlphaDummy1132 h))
(SemanticCore.Wff.classEq (SemanticCore.Class.cv (nb078AlphaDummy1173 h))
(Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv (nb078AlphaDummy1174 h))))))).imp
(SemanticCore.Wff.classMem (SemanticCore.Class.cv (nb078AlphaDummy1178 h))
(SemanticCore.Class.cab (nb078AlphaDummy1173 h)
(Compiler.CompactSourceSyntax.synWrex (nb078AlphaDummy1174 h) (SemanticCore.Class.cv (nb078AlphaDummy1132 h))
(SemanticCore.Wff.classEq (SemanticCore.Class.cv (nb078AlphaDummy1173 h))
(Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv (nb078AlphaDummy1174 h))))))).neg)
Checked nominal proof certificate identified upstream as nb078_split_alpha_0160.
Equations
- One or more equations did not get rendered due to their size.
Instances For
Certificates from NAR4C078C001Part179.
noncomputable def
NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb078SplitAlpha0161
(x y h : SemanticCore.Var)
:
Nominal.TAlphaWff
[(nb078AlphaDummy1205, nb078AlphaDummy1206 h), (nb078AlphaDummy1203, nb078AlphaDummy1204 h), (nb078AlphaDummy1172, nb078AlphaDummy1174 h), (nb078AlphaDummy1171, nb078AlphaDummy1173 h), (nb078AlphaDummy1201, nb078AlphaDummy1202 h), (nb078AlphaDummy1175, nb078AlphaDummy1176 h), (nb078AlphaDummy1130, nb078AlphaDummy1132 h), (nb078AlphaDummy1129, nb078AlphaDummy1131 h), (nb078AlphaDummy1133, nb078AlphaDummy1134 h), (nb078AlphaDummy1051, nb078AlphaDummy1054 h), (nb078AlphaDummy1050, nb078AlphaDummy1053 h), (nb078AlphaDummy1049, nb078AlphaDummy1052 h), (nb078AlphaDummy1055, nb078AlphaDummy1056 h), (nb078AlphaDummy002, h), (nb078AlphaDummy004, y), (nb078AlphaDummy003, x)]
((SemanticCore.Wff.classMem (SemanticCore.Class.cv nb078AlphaDummy1205)
(Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv nb078AlphaDummy1172))).imp
(SemanticCore.Wff.classMem (SemanticCore.Class.cv nb078AlphaDummy1205)
(Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv nb078AlphaDummy1172))).neg)
((SemanticCore.Wff.classMem (SemanticCore.Class.cv (nb078AlphaDummy1206 h))
(Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv (nb078AlphaDummy1174 h)))).imp
(SemanticCore.Wff.classMem (SemanticCore.Class.cv (nb078AlphaDummy1206 h))
(Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv (nb078AlphaDummy1174 h)))).neg)
Checked nominal proof certificate identified upstream as nb078_split_alpha_0161.
Equations
- One or more equations did not get rendered due to their size.
Instances For
Certificates from NAR4C078C001Part180.
noncomputable def
NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb078SplitAlpha0162
(x y h : SemanticCore.Var)
:
Nominal.TAlphaWff
[(nb078AlphaDummy859, nb078AlphaDummy860 h), (nb078AlphaDummy857, nb078AlphaDummy858 h), (nb078AlphaDummy848, nb078AlphaDummy850 h), (nb078AlphaDummy847, nb078AlphaDummy849 h), (nb078AlphaDummy851, nb078AlphaDummy852 h), (nb078AlphaDummy1130, nb078AlphaDummy1132 h), (nb078AlphaDummy1129, nb078AlphaDummy1131 h), (nb078AlphaDummy1133, nb078AlphaDummy1134 h), (nb078AlphaDummy1051, nb078AlphaDummy1054 h), (nb078AlphaDummy1050, nb078AlphaDummy1053 h), (nb078AlphaDummy1049, nb078AlphaDummy1052 h), (nb078AlphaDummy1055, nb078AlphaDummy1056 h), (nb078AlphaDummy002, h), (nb078AlphaDummy004, y), (nb078AlphaDummy003, x)]
((SemanticCore.Wff.classMem (SemanticCore.Class.cv nb078AlphaDummy859)
(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)))))).imp
(SemanticCore.Wff.classMem (SemanticCore.Class.cv nb078AlphaDummy859)
(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)))))).neg)
((SemanticCore.Wff.classMem (SemanticCore.Class.cv (nb078AlphaDummy860 h))
(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))))))).imp
(SemanticCore.Wff.classMem (SemanticCore.Class.cv (nb078AlphaDummy860 h))
(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))))))).neg)
Checked nominal proof certificate identified upstream as nb078_split_alpha_0162.
Equations
- One or more equations did not get rendered due to their size.