Nominal proof certificates grouped in dependency order.

Certificates from NAR4C090C001Part072.

noncomputable def NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb090SplitAlpha0050 (v u : SemanticCore.Var) (A : SemanticCore.Class) (h : SemanticCore.Var) : Nominal.TAlphaWff [(nb090AlphaDummy504 A, nb090AlphaDummy506 h), (nb090AlphaDummy503 A, nb090AlphaDummy505 h), (nb090AlphaDummy507 A, nb090AlphaDummy508 h), (nb090AlphaDummy425 A, nb090AlphaDummy428 h), (nb090AlphaDummy424 A, nb090AlphaDummy427 h), (nb090AlphaDummy423 A, nb090AlphaDummy426 h), (nb090AlphaDummy429 A, nb090AlphaDummy430 h), (nb090AlphaDummy421 A, nb090AlphaDummy422 h), (nb090AlphaDummy419 A, nb090AlphaDummy420 h), (nb090AlphaDummy000 A, h), (nb090AlphaDummy002 A, v), (nb090AlphaDummy001 A, u), (nb090AlphaDummy003 A, nb090AlphaDummy004 v u A h)] ((SemanticCore.Wff.classEq (SemanticCore.Class.cv (nb090AlphaDummy507 A)) (Compiler.CompactSourceSyntax.synCop (SemanticCore.Class.cv (nb090AlphaDummy503 A)) (SemanticCore.Class.cv (nb090AlphaDummy504 A)))).imp (Compiler.CompactSourceSyntax.synWbr (SemanticCore.Class.cv (nb090AlphaDummy504 A)) (Compiler.CompactSourceSyntax.synCcnv (SemanticCore.Class.cv (nb090AlphaDummy000 A))) (SemanticCore.Class.cv (nb090AlphaDummy503 A))).neg) ((SemanticCore.Wff.classEq (SemanticCore.Class.cv (nb090AlphaDummy508 h)) (Compiler.CompactSourceSyntax.synCop (SemanticCore.Class.cv (nb090AlphaDummy505 h)) (SemanticCore.Class.cv (nb090AlphaDummy506 h)))).imp (Compiler.CompactSourceSyntax.synWbr (SemanticCore.Class.cv (nb090AlphaDummy506 h)) (Compiler.CompactSourceSyntax.synCcnv (SemanticCore.Class.cv h)) (SemanticCore.Class.cv (nb090AlphaDummy505 h))).neg)

Checked nominal proof certificate identified upstream as nb090_split_alpha_0050.

Equations

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Certificates from NAR4C090C001Part073.

noncomputable def NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb090SplitAlpha0051 (v u : SemanticCore.Var) (A : SemanticCore.Class) (h : SemanticCore.Var) : Nominal.TAlphaWff [(nb090AlphaDummy587 A, nb090AlphaDummy588 h), (nb090AlphaDummy585 A, nb090AlphaDummy586 h), (nb090AlphaDummy425 A, nb090AlphaDummy428 h), (nb090AlphaDummy424 A, nb090AlphaDummy427 h), (nb090AlphaDummy423 A, nb090AlphaDummy426 h), (nb090AlphaDummy429 A, nb090AlphaDummy430 h), (nb090AlphaDummy421 A, nb090AlphaDummy422 h), (nb090AlphaDummy419 A, nb090AlphaDummy420 h), (nb090AlphaDummy000 A, h), (nb090AlphaDummy002 A, v), (nb090AlphaDummy001 A, u), (nb090AlphaDummy003 A, nb090AlphaDummy004 v u A h)] ((SemanticCore.Wff.classMem (SemanticCore.Class.cv (nb090AlphaDummy587 A)) (SemanticCore.Class.cab (nb090AlphaDummy581 A) (Compiler.CompactSourceSyntax.synWrex (nb090AlphaDummy582 A) (SemanticCore.Class.cv (nb090AlphaDummy425 A)) (SemanticCore.Wff.classEq (SemanticCore.Class.cv (nb090AlphaDummy581 A)) (Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv (nb090AlphaDummy582 A))))))).imp (SemanticCore.Wff.classMem (SemanticCore.Class.cv (nb090AlphaDummy587 A)) (SemanticCore.Class.cab (nb090AlphaDummy581 A) (Compiler.CompactSourceSyntax.synWrex (nb090AlphaDummy582 A) (SemanticCore.Class.cv (nb090AlphaDummy425 A)) (SemanticCore.Wff.classEq (SemanticCore.Class.cv (nb090AlphaDummy581 A)) (Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv (nb090AlphaDummy582 A))))))).neg) ((SemanticCore.Wff.classMem (SemanticCore.Class.cv (nb090AlphaDummy588 h)) (SemanticCore.Class.cab (nb090AlphaDummy583 h) (Compiler.CompactSourceSyntax.synWrex (nb090AlphaDummy584 h) (SemanticCore.Class.cv (nb090AlphaDummy428 h)) (SemanticCore.Wff.classEq (SemanticCore.Class.cv (nb090AlphaDummy583 h)) (Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv (nb090AlphaDummy584 h))))))).imp (SemanticCore.Wff.classMem (SemanticCore.Class.cv (nb090AlphaDummy588 h)) (SemanticCore.Class.cab (nb090AlphaDummy583 h) (Compiler.CompactSourceSyntax.synWrex (nb090AlphaDummy584 h) (SemanticCore.Class.cv (nb090AlphaDummy428 h)) (SemanticCore.Wff.classEq (SemanticCore.Class.cv (nb090AlphaDummy583 h)) (Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv (nb090AlphaDummy584 h))))))).neg)

Checked nominal proof certificate identified upstream as nb090_split_alpha_0051.

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Certificates from NAR4C090C001Part074.

noncomputable def NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb090SplitAlpha0052 (v u : SemanticCore.Var) (A : SemanticCore.Class) (h : SemanticCore.Var) : Nominal.TAlphaWff [(nb090AlphaDummy615 A, nb090AlphaDummy616 h), (nb090AlphaDummy613 A, nb090AlphaDummy614 h), (nb090AlphaDummy582 A, nb090AlphaDummy584 h), (nb090AlphaDummy581 A, nb090AlphaDummy583 h), (nb090AlphaDummy611 A, nb090AlphaDummy612 h), (nb090AlphaDummy585 A, nb090AlphaDummy586 h), (nb090AlphaDummy425 A, nb090AlphaDummy428 h), (nb090AlphaDummy424 A, nb090AlphaDummy427 h), (nb090AlphaDummy423 A, nb090AlphaDummy426 h), (nb090AlphaDummy429 A, nb090AlphaDummy430 h), (nb090AlphaDummy421 A, nb090AlphaDummy422 h), (nb090AlphaDummy419 A, nb090AlphaDummy420 h), (nb090AlphaDummy000 A, h), (nb090AlphaDummy002 A, v), (nb090AlphaDummy001 A, u), (nb090AlphaDummy003 A, nb090AlphaDummy004 v u A h)] ((SemanticCore.Wff.classMem (SemanticCore.Class.cv (nb090AlphaDummy615 A)) (Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv (nb090AlphaDummy582 A)))).imp (SemanticCore.Wff.classMem (SemanticCore.Class.cv (nb090AlphaDummy615 A)) (Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv (nb090AlphaDummy582 A)))).neg) ((SemanticCore.Wff.classMem (SemanticCore.Class.cv (nb090AlphaDummy616 h)) (Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv (nb090AlphaDummy584 h)))).imp (SemanticCore.Wff.classMem (SemanticCore.Class.cv (nb090AlphaDummy616 h)) (Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv (nb090AlphaDummy584 h)))).neg)

Checked nominal proof certificate identified upstream as nb090_split_alpha_0052.

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