Nominal proof certificates grouped in dependency order.
Certificates from NAR4C077C001Part034.
noncomputable def
NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb077SplitAlpha0020
(x : SemanticCore.Var)
(F I : SemanticCore.Class)
:
Nominal.TAlphaWff
[(nb077AlphaDummy073 F I, nb077AlphaDummy074 x), (nb077AlphaDummy071 F I, nb077AlphaDummy072 x), (nb077AlphaDummy060 F I, nb077AlphaDummy063 x), (nb077AlphaDummy059 F I, nb077AlphaDummy062 x), (nb077AlphaDummy065 F I, nb077AlphaDummy066 x), (nb077AlphaDummy057 F I, nb077AlphaDummy058 x F), (nb077AlphaDummy055 F I, nb077AlphaDummy056 x F), (nb077AlphaDummy016 F I, nb077AlphaDummy018 x F I), (nb077AlphaDummy015 F I, nb077AlphaDummy017 x F I), (nb077AlphaDummy001 F I, nb077AlphaDummy002 x F I), (nb077AlphaDummy004 F I, nb077AlphaDummy006 x F I), (nb077AlphaDummy003 F I, nb077AlphaDummy005 x F I)]
((SemanticCore.Wff.classMem (SemanticCore.Class.cv (nb077AlphaDummy073 F I))
(SemanticCore.Class.cab (nb077AlphaDummy067 F I)
(Compiler.CompactSourceSyntax.synWrex (nb077AlphaDummy068 F I)
(SemanticCore.Class.cv (nb077AlphaDummy059 F I))
(SemanticCore.Wff.classEq (SemanticCore.Class.cv (nb077AlphaDummy067 F I))
(Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv (nb077AlphaDummy068 F I))))))).imp
(SemanticCore.Wff.classMem (SemanticCore.Class.cv (nb077AlphaDummy073 F I))
(SemanticCore.Class.cab (nb077AlphaDummy067 F I)
(Compiler.CompactSourceSyntax.synWrex (nb077AlphaDummy068 F I)
(SemanticCore.Class.cv (nb077AlphaDummy059 F I))
(SemanticCore.Wff.classEq (SemanticCore.Class.cv (nb077AlphaDummy067 F I))
(Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv (nb077AlphaDummy068 F I))))))).neg)
((SemanticCore.Wff.classMem (SemanticCore.Class.cv (nb077AlphaDummy074 x))
(SemanticCore.Class.cab (nb077AlphaDummy069 x)
(Compiler.CompactSourceSyntax.synWrex (nb077AlphaDummy070 x) (SemanticCore.Class.cv (nb077AlphaDummy062 x))
(SemanticCore.Wff.classEq (SemanticCore.Class.cv (nb077AlphaDummy069 x))
(Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv (nb077AlphaDummy070 x))))))).imp
(SemanticCore.Wff.classMem (SemanticCore.Class.cv (nb077AlphaDummy074 x))
(SemanticCore.Class.cab (nb077AlphaDummy069 x)
(Compiler.CompactSourceSyntax.synWrex (nb077AlphaDummy070 x) (SemanticCore.Class.cv (nb077AlphaDummy062 x))
(SemanticCore.Wff.classEq (SemanticCore.Class.cv (nb077AlphaDummy069 x))
(Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv (nb077AlphaDummy070 x))))))).neg)
Checked nominal proof certificate identified upstream as nb077_split_alpha_0020.
Equations
- One or more equations did not get rendered due to their size.
Instances For
Certificates from NAR4C077C001Part035.
noncomputable def
NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb077SplitAlpha0021
(x : SemanticCore.Var)
(F I : SemanticCore.Class)
:
Nominal.TAlphaWff
[(nb077AlphaDummy101 F I, nb077AlphaDummy102 x), (nb077AlphaDummy099 F I, nb077AlphaDummy100 x), (nb077AlphaDummy068 F I, nb077AlphaDummy070 x), (nb077AlphaDummy067 F I, nb077AlphaDummy069 x), (nb077AlphaDummy097 F I, nb077AlphaDummy098 x), (nb077AlphaDummy071 F I, nb077AlphaDummy072 x), (nb077AlphaDummy060 F I, nb077AlphaDummy063 x), (nb077AlphaDummy059 F I, nb077AlphaDummy062 x), (nb077AlphaDummy065 F I, nb077AlphaDummy066 x), (nb077AlphaDummy057 F I, nb077AlphaDummy058 x F), (nb077AlphaDummy055 F I, nb077AlphaDummy056 x F), (nb077AlphaDummy016 F I, nb077AlphaDummy018 x F I), (nb077AlphaDummy015 F I, nb077AlphaDummy017 x F I), (nb077AlphaDummy001 F I, nb077AlphaDummy002 x F I), (nb077AlphaDummy004 F I, nb077AlphaDummy006 x F I), (nb077AlphaDummy003 F I, nb077AlphaDummy005 x F I)]
((SemanticCore.Wff.classMem (SemanticCore.Class.cv (nb077AlphaDummy101 F I))
(Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv (nb077AlphaDummy068 F I)))).imp
(SemanticCore.Wff.classMem (SemanticCore.Class.cv (nb077AlphaDummy101 F I))
(Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv (nb077AlphaDummy068 F I)))).neg)
((SemanticCore.Wff.classMem (SemanticCore.Class.cv (nb077AlphaDummy102 x))
(Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv (nb077AlphaDummy070 x)))).imp
(SemanticCore.Wff.classMem (SemanticCore.Class.cv (nb077AlphaDummy102 x))
(Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv (nb077AlphaDummy070 x)))).neg)
Checked nominal proof certificate identified upstream as nb077_split_alpha_0021.
Equations
- One or more equations did not get rendered due to their size.
Instances For
Certificates from NAR4C077C001Part036.
noncomputable def
NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb077SplitAlpha0022
(x : SemanticCore.Var)
(F I : SemanticCore.Class)
:
Nominal.TAlphaWff
[(nb077AlphaDummy109 F I, nb077AlphaDummy110 x), (nb077AlphaDummy107 F I, nb077AlphaDummy108 x), (nb077AlphaDummy061 F I, nb077AlphaDummy064 x), (nb077AlphaDummy060 F I, nb077AlphaDummy063 x), (nb077AlphaDummy059 F I, nb077AlphaDummy062 x), (nb077AlphaDummy065 F I, nb077AlphaDummy066 x), (nb077AlphaDummy057 F I, nb077AlphaDummy058 x F), (nb077AlphaDummy055 F I, nb077AlphaDummy056 x F), (nb077AlphaDummy016 F I, nb077AlphaDummy018 x F I), (nb077AlphaDummy015 F I, nb077AlphaDummy017 x F I), (nb077AlphaDummy001 F I, nb077AlphaDummy002 x F I), (nb077AlphaDummy004 F I, nb077AlphaDummy006 x F I), (nb077AlphaDummy003 F I, nb077AlphaDummy005 x F I)]
((SemanticCore.Wff.classMem (SemanticCore.Class.cv (nb077AlphaDummy109 F I))
(SemanticCore.Class.cab (nb077AlphaDummy103 F I)
(Compiler.CompactSourceSyntax.synWrex (nb077AlphaDummy104 F I)
(SemanticCore.Class.cv (nb077AlphaDummy059 F I))
(SemanticCore.Wff.classEq (SemanticCore.Class.cv (nb077AlphaDummy103 F I))
(Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv (nb077AlphaDummy104 F I))))))).imp
(SemanticCore.Wff.classMem (SemanticCore.Class.cv (nb077AlphaDummy109 F I))
(SemanticCore.Class.cab (nb077AlphaDummy103 F I)
(Compiler.CompactSourceSyntax.synWrex (nb077AlphaDummy104 F I)
(SemanticCore.Class.cv (nb077AlphaDummy059 F I))
(SemanticCore.Wff.classEq (SemanticCore.Class.cv (nb077AlphaDummy103 F I))
(Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv (nb077AlphaDummy104 F I))))))).neg)
((SemanticCore.Wff.classMem (SemanticCore.Class.cv (nb077AlphaDummy110 x))
(SemanticCore.Class.cab (nb077AlphaDummy105 x)
(Compiler.CompactSourceSyntax.synWrex (nb077AlphaDummy106 x) (SemanticCore.Class.cv (nb077AlphaDummy062 x))
(SemanticCore.Wff.classEq (SemanticCore.Class.cv (nb077AlphaDummy105 x))
(Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv (nb077AlphaDummy106 x))))))).imp
(SemanticCore.Wff.classMem (SemanticCore.Class.cv (nb077AlphaDummy110 x))
(SemanticCore.Class.cab (nb077AlphaDummy105 x)
(Compiler.CompactSourceSyntax.synWrex (nb077AlphaDummy106 x) (SemanticCore.Class.cv (nb077AlphaDummy062 x))
(SemanticCore.Wff.classEq (SemanticCore.Class.cv (nb077AlphaDummy105 x))
(Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv (nb077AlphaDummy106 x))))))).neg)
Checked nominal proof certificate identified upstream as nb077_split_alpha_0022.
Equations
- One or more equations did not get rendered due to their size.