Nominal proof certificates grouped in dependency order.

Certificates from NAR4C090C001Part083.

noncomputable def NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb090SplitAlpha0061 (v u : SemanticCore.Var) (A : SemanticCore.Class) (h : SemanticCore.Var) : Nominal.TAlphaWff [(nb090AlphaDummy499 A, nb090AlphaDummy500 h), (nb090AlphaDummy468 A, nb090AlphaDummy470 h), (nb090AlphaDummy467 A, nb090AlphaDummy469 h), (nb090AlphaDummy497 A, nb090AlphaDummy498 h), (nb090AlphaDummy471 A, nb090AlphaDummy472 h), (nb090AlphaDummy425 A, nb090AlphaDummy428 h), (nb090AlphaDummy424 A, nb090AlphaDummy427 h), (nb090AlphaDummy423 A, nb090AlphaDummy426 h), (nb090AlphaDummy429 A, nb090AlphaDummy430 h), (nb090AlphaDummy000 A, h), (nb090AlphaDummy002 A, v), (nb090AlphaDummy001 A, u), (nb090AlphaDummy003 A, nb090AlphaDummy004 v u A h)] ((SemanticCore.Wff.classMem (SemanticCore.Class.cv (nb090AlphaDummy499 A)) (Compiler.CompactSourceSyntax.synCcompl (Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv (nb090AlphaDummy468 A))))).imp (SemanticCore.Wff.classMem (SemanticCore.Class.cv (nb090AlphaDummy499 A)) (Compiler.CompactSourceSyntax.synCcompl (Compiler.CompactSourceSyntax.synCsn Compiler.CompactSourceSyntax.synC0c))).neg) ((SemanticCore.Wff.classMem (SemanticCore.Class.cv (nb090AlphaDummy500 h)) (Compiler.CompactSourceSyntax.synCcompl (Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv (nb090AlphaDummy470 h))))).imp (SemanticCore.Wff.classMem (SemanticCore.Class.cv (nb090AlphaDummy500 h)) (Compiler.CompactSourceSyntax.synCcompl (Compiler.CompactSourceSyntax.synCsn Compiler.CompactSourceSyntax.synC0c))).neg)

Checked nominal proof certificate identified upstream as nb090_split_alpha_0061.

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Certificates from NAR4C090C001Part084.

noncomputable def NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb090SplitAlpha0062 (v u : SemanticCore.Var) (A : SemanticCore.Class) (h : SemanticCore.Var) : Nominal.TAlphaWff [(nb090AlphaDummy515 A, nb090AlphaDummy516 h), (nb090AlphaDummy513 A, nb090AlphaDummy514 h), (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), (nb090AlphaDummy000 A, h), (nb090AlphaDummy002 A, v), (nb090AlphaDummy001 A, u), (nb090AlphaDummy003 A, nb090AlphaDummy004 v u A h)] ((SemanticCore.Wff.classMem (SemanticCore.Class.cv (nb090AlphaDummy515 A)) (SemanticCore.Class.cab (nb090AlphaDummy509 A) (Compiler.CompactSourceSyntax.synWrex (nb090AlphaDummy510 A) (SemanticCore.Class.cv (nb090AlphaDummy503 A)) (SemanticCore.Wff.classEq (SemanticCore.Class.cv (nb090AlphaDummy509 A)) (Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv (nb090AlphaDummy510 A))))))).imp (SemanticCore.Wff.classMem (SemanticCore.Class.cv (nb090AlphaDummy515 A)) (SemanticCore.Class.cab (nb090AlphaDummy509 A) (Compiler.CompactSourceSyntax.synWrex (nb090AlphaDummy510 A) (SemanticCore.Class.cv (nb090AlphaDummy503 A)) (SemanticCore.Wff.classEq (SemanticCore.Class.cv (nb090AlphaDummy509 A)) (Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv (nb090AlphaDummy510 A))))))).neg) ((SemanticCore.Wff.classMem (SemanticCore.Class.cv (nb090AlphaDummy516 h)) (SemanticCore.Class.cab (nb090AlphaDummy511 h) (Compiler.CompactSourceSyntax.synWrex (nb090AlphaDummy512 h) (SemanticCore.Class.cv (nb090AlphaDummy505 h)) (SemanticCore.Wff.classEq (SemanticCore.Class.cv (nb090AlphaDummy511 h)) (Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv (nb090AlphaDummy512 h))))))).imp (SemanticCore.Wff.classMem (SemanticCore.Class.cv (nb090AlphaDummy516 h)) (SemanticCore.Class.cab (nb090AlphaDummy511 h) (Compiler.CompactSourceSyntax.synWrex (nb090AlphaDummy512 h) (SemanticCore.Class.cv (nb090AlphaDummy505 h)) (SemanticCore.Wff.classEq (SemanticCore.Class.cv (nb090AlphaDummy511 h)) (Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv (nb090AlphaDummy512 h))))))).neg)

Checked nominal proof certificate identified upstream as nb090_split_alpha_0062.

Equations

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Certificates from NAR4C090C001Part085.

noncomputable def NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb090SplitAlpha0063 (v u : SemanticCore.Var) (A : SemanticCore.Class) (h : SemanticCore.Var) : Nominal.TAlphaWff [(nb090AlphaDummy543 A, nb090AlphaDummy544 h), (nb090AlphaDummy541 A, nb090AlphaDummy542 h), (nb090AlphaDummy510 A, nb090AlphaDummy512 h), (nb090AlphaDummy509 A, nb090AlphaDummy511 h), (nb090AlphaDummy539 A, nb090AlphaDummy540 h), (nb090AlphaDummy513 A, nb090AlphaDummy514 h), (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), (nb090AlphaDummy000 A, h), (nb090AlphaDummy002 A, v), (nb090AlphaDummy001 A, u), (nb090AlphaDummy003 A, nb090AlphaDummy004 v u A h)] ((SemanticCore.Wff.classMem (SemanticCore.Class.cv (nb090AlphaDummy543 A)) (Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv (nb090AlphaDummy510 A)))).imp (SemanticCore.Wff.classMem (SemanticCore.Class.cv (nb090AlphaDummy543 A)) (Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv (nb090AlphaDummy510 A)))).neg) ((SemanticCore.Wff.classMem (SemanticCore.Class.cv (nb090AlphaDummy544 h)) (Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv (nb090AlphaDummy512 h)))).imp (SemanticCore.Wff.classMem (SemanticCore.Class.cv (nb090AlphaDummy544 h)) (Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv (nb090AlphaDummy512 h)))).neg)

Checked nominal proof certificate identified upstream as nb090_split_alpha_0063.

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