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LeanPool.NFWeakPartition.Certificates.NAR4C077C001Block004

Nominal proof certificates grouped in dependency order.

Certificates from NAR4C077C001Part012.

noncomputable def NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb077SplitAlpha0002 (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), (nb077AlphaDummy013 F I, nb077AlphaDummy014 x F I), (nb077AlphaDummy011 F I, nb077AlphaDummy012 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_0002.

Equations
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Instances For

    Certificates from NAR4C077C001Part013.

    noncomputable def NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb077SplitAlpha0003 (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), (nb077AlphaDummy013 F I, nb077AlphaDummy014 x F I), (nb077AlphaDummy011 F I, nb077AlphaDummy012 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_0003.

    Equations
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    Instances For

      Certificates from NAR4C077C001Part014.