Nominal proof certificates grouped in dependency order.
Certificates from NAR4C078C001Part170.
noncomputable def
NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb078SplitAlpha0151
(x y h : SemanticCore.Var)
:
Nominal.TAlphaWff
[(nb078AlphaDummy895, nb078AlphaDummy896 h), (nb078AlphaDummy893, nb078AlphaDummy894 h), (nb078AlphaDummy848, nb078AlphaDummy850 h), (nb078AlphaDummy847, nb078AlphaDummy849 h), (nb078AlphaDummy851, nb078AlphaDummy852 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 nb078AlphaDummy895)
(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)))))).imp
(SemanticCore.Wff.classMem (SemanticCore.Class.cv nb078AlphaDummy895)
(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)))))).neg)
((SemanticCore.Wff.classMem (SemanticCore.Class.cv (nb078AlphaDummy896 h))
(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))))))).imp
(SemanticCore.Wff.classMem (SemanticCore.Class.cv (nb078AlphaDummy896 h))
(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))))))).neg)
Checked nominal proof certificate identified upstream as nb078_split_alpha_0151.
Equations
- One or more equations did not get rendered due to their size.
Instances For
Certificates from NAR4C078C001Part171.
noncomputable def
NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb078SplitAlpha0152
(x y h : SemanticCore.Var)
:
Nominal.TAlphaWff
[(nb078AlphaDummy923, nb078AlphaDummy924 h), (nb078AlphaDummy921, nb078AlphaDummy922 h), (nb078AlphaDummy890, nb078AlphaDummy892 h), (nb078AlphaDummy889, nb078AlphaDummy891 h), (nb078AlphaDummy919, nb078AlphaDummy920 h), (nb078AlphaDummy893, nb078AlphaDummy894 h), (nb078AlphaDummy848, nb078AlphaDummy850 h), (nb078AlphaDummy847, nb078AlphaDummy849 h), (nb078AlphaDummy851, nb078AlphaDummy852 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 nb078AlphaDummy923)
(Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv nb078AlphaDummy890))).imp
(SemanticCore.Wff.classMem (SemanticCore.Class.cv nb078AlphaDummy923)
(Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv nb078AlphaDummy890))).neg)
((SemanticCore.Wff.classMem (SemanticCore.Class.cv (nb078AlphaDummy924 h))
(Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv (nb078AlphaDummy892 h)))).imp
(SemanticCore.Wff.classMem (SemanticCore.Class.cv (nb078AlphaDummy924 h))
(Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv (nb078AlphaDummy892 h)))).neg)
Checked nominal proof certificate identified upstream as nb078_split_alpha_0152.
Equations
- One or more equations did not get rendered due to their size.
Instances For
noncomputable def
NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb078SplitAlpha0153
(x y h : SemanticCore.Var)
:
Nominal.TAlphaWff
[(nb078AlphaDummy1050, nb078AlphaDummy1053 h), (nb078AlphaDummy1049, nb078AlphaDummy1052 h), (nb078AlphaDummy1055, nb078AlphaDummy1056 h), (nb078AlphaDummy1047, nb078AlphaDummy1048 h), (nb078AlphaDummy1045, nb078AlphaDummy1046 h), (nb078AlphaDummy002, h), (nb078AlphaDummy004, y), (nb078AlphaDummy003, x)]
((SemanticCore.Wff.classEq (SemanticCore.Class.cv nb078AlphaDummy1055)
(Compiler.CompactSourceSyntax.synCop (SemanticCore.Class.cv nb078AlphaDummy1049)
(SemanticCore.Class.cv nb078AlphaDummy1050))).imp
(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)))).neg)
((SemanticCore.Wff.classEq (SemanticCore.Class.cv (nb078AlphaDummy1056 h))
(Compiler.CompactSourceSyntax.synCop (SemanticCore.Class.cv (nb078AlphaDummy1052 h))
(SemanticCore.Class.cv (nb078AlphaDummy1053 h)))).imp
(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))))).neg)
Checked nominal proof certificate identified upstream as nb078_split_alpha_0153.
Equations
- One or more equations did not get rendered due to their size.