Nominal proof certificates grouped in dependency order.
Certificates from NAR4C078C001Part154.
noncomputable def
NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb078SplitAlpha0134
(x y h : SemanticCore.Var)
:
Nominal.TAlphaWff
[(nb078AlphaDummy1063, nb078AlphaDummy1064 h), (nb078AlphaDummy1061, nb078AlphaDummy1062 h), (nb078AlphaDummy1050, nb078AlphaDummy1053 h), (nb078AlphaDummy1049, nb078AlphaDummy1052 h), (nb078AlphaDummy1055, nb078AlphaDummy1056 h), (nb078AlphaDummy1047, nb078AlphaDummy1048 h), (nb078AlphaDummy1045, nb078AlphaDummy1046 h), (nb078AlphaDummy002, h), (nb078AlphaDummy004, y), (nb078AlphaDummy003, x)]
((SemanticCore.Wff.classMem (SemanticCore.Class.cv nb078AlphaDummy1063)
(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)))))).imp
(SemanticCore.Wff.classMem (SemanticCore.Class.cv nb078AlphaDummy1063)
(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)))))).neg)
((SemanticCore.Wff.classMem (SemanticCore.Class.cv (nb078AlphaDummy1064 h))
(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))))))).imp
(SemanticCore.Wff.classMem (SemanticCore.Class.cv (nb078AlphaDummy1064 h))
(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))))))).neg)
Checked nominal proof certificate identified upstream as nb078_split_alpha_0134.
Equations
- One or more equations did not get rendered due to their size.
Instances For
Certificates from NAR4C078C001Part155.
noncomputable def
NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb078SplitAlpha0135
(x y h : SemanticCore.Var)
:
Nominal.TAlphaWff
[(nb078AlphaDummy1089, nb078AlphaDummy1090 h), (nb078AlphaDummy1058, nb078AlphaDummy1060 h), (nb078AlphaDummy1057, nb078AlphaDummy1059 h), (nb078AlphaDummy1087, nb078AlphaDummy1088 h), (nb078AlphaDummy1061, nb078AlphaDummy1062 h), (nb078AlphaDummy1050, nb078AlphaDummy1053 h), (nb078AlphaDummy1049, nb078AlphaDummy1052 h), (nb078AlphaDummy1055, nb078AlphaDummy1056 h), (nb078AlphaDummy1047, nb078AlphaDummy1048 h), (nb078AlphaDummy1045, nb078AlphaDummy1046 h), (nb078AlphaDummy002, h), (nb078AlphaDummy004, y), (nb078AlphaDummy003, x)]
((SemanticCore.Wff.classMem (SemanticCore.Class.cv nb078AlphaDummy1089)
(Compiler.CompactSourceSyntax.synCcompl
(Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv nb078AlphaDummy1058)))).imp
(SemanticCore.Wff.classMem (SemanticCore.Class.cv nb078AlphaDummy1089)
(Compiler.CompactSourceSyntax.synCcompl
(Compiler.CompactSourceSyntax.synCsn Compiler.CompactSourceSyntax.synC0c))).neg)
((SemanticCore.Wff.classMem (SemanticCore.Class.cv (nb078AlphaDummy1090 h))
(Compiler.CompactSourceSyntax.synCcompl
(Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv (nb078AlphaDummy1060 h))))).imp
(SemanticCore.Wff.classMem (SemanticCore.Class.cv (nb078AlphaDummy1090 h))
(Compiler.CompactSourceSyntax.synCcompl
(Compiler.CompactSourceSyntax.synCsn Compiler.CompactSourceSyntax.synC0c))).neg)
Checked nominal proof certificate identified upstream as nb078_split_alpha_0135.
Equations
- One or more equations did not get rendered due to their size.
Instances For
Certificates from NAR4C078C001Part156.
noncomputable def
NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb078SplitAlpha0136
(x y h : SemanticCore.Var)
:
Nominal.TAlphaWff
[(nb078AlphaDummy1099, nb078AlphaDummy1100 h), (nb078AlphaDummy1097, nb078AlphaDummy1098 h), (nb078AlphaDummy1051, nb078AlphaDummy1054 h), (nb078AlphaDummy1050, nb078AlphaDummy1053 h), (nb078AlphaDummy1049, nb078AlphaDummy1052 h), (nb078AlphaDummy1055, nb078AlphaDummy1056 h), (nb078AlphaDummy1047, nb078AlphaDummy1048 h), (nb078AlphaDummy1045, nb078AlphaDummy1046 h), (nb078AlphaDummy002, h), (nb078AlphaDummy004, y), (nb078AlphaDummy003, x)]
((SemanticCore.Wff.classMem (SemanticCore.Class.cv nb078AlphaDummy1099)
(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)))))).imp
(SemanticCore.Wff.classMem (SemanticCore.Class.cv nb078AlphaDummy1099)
(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)))))).neg)
((SemanticCore.Wff.classMem (SemanticCore.Class.cv (nb078AlphaDummy1100 h))
(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))))))).imp
(SemanticCore.Wff.classMem (SemanticCore.Class.cv (nb078AlphaDummy1100 h))
(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))))))).neg)
Checked nominal proof certificate identified upstream as nb078_split_alpha_0136.
Equations
- One or more equations did not get rendered due to their size.