Nominal proof certificates grouped in dependency order.

Certificates from NAR4C090C001Part025.

noncomputable def NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb090SplitAlpha0001 (v u : SemanticCore.Var) (A : SemanticCore.Class) (h : SemanticCore.Var) : Nominal.TAlphaWff [(nb090AlphaDummy063 A, nb090AlphaDummy064 h), (nb090AlphaDummy061 A, nb090AlphaDummy062 h), (nb090AlphaDummy050 A, nb090AlphaDummy053 h), (nb090AlphaDummy049 A, nb090AlphaDummy052 h), (nb090AlphaDummy055 A, nb090AlphaDummy056 h), (nb090AlphaDummy047 A, nb090AlphaDummy048 h), (nb090AlphaDummy045 A, nb090AlphaDummy046 h), (nb090AlphaDummy000 A, h), (nb090AlphaDummy002 A, v), (nb090AlphaDummy001 A, u), (nb090AlphaDummy003 A, nb090AlphaDummy004 v u A h)] ((SemanticCore.Wff.classMem (SemanticCore.Class.cv (nb090AlphaDummy063 A)) (SemanticCore.Class.cab (nb090AlphaDummy057 A) (Compiler.CompactSourceSyntax.synWrex (nb090AlphaDummy058 A) (SemanticCore.Class.cv (nb090AlphaDummy049 A)) (SemanticCore.Wff.classEq (SemanticCore.Class.cv (nb090AlphaDummy057 A)) (Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv (nb090AlphaDummy058 A))))))).imp (SemanticCore.Wff.classMem (SemanticCore.Class.cv (nb090AlphaDummy063 A)) (SemanticCore.Class.cab (nb090AlphaDummy057 A) (Compiler.CompactSourceSyntax.synWrex (nb090AlphaDummy058 A) (SemanticCore.Class.cv (nb090AlphaDummy049 A)) (SemanticCore.Wff.classEq (SemanticCore.Class.cv (nb090AlphaDummy057 A)) (Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv (nb090AlphaDummy058 A))))))).neg) ((SemanticCore.Wff.classMem (SemanticCore.Class.cv (nb090AlphaDummy064 h)) (SemanticCore.Class.cab (nb090AlphaDummy059 h) (Compiler.CompactSourceSyntax.synWrex (nb090AlphaDummy060 h) (SemanticCore.Class.cv (nb090AlphaDummy052 h)) (SemanticCore.Wff.classEq (SemanticCore.Class.cv (nb090AlphaDummy059 h)) (Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv (nb090AlphaDummy060 h))))))).imp (SemanticCore.Wff.classMem (SemanticCore.Class.cv (nb090AlphaDummy064 h)) (SemanticCore.Class.cab (nb090AlphaDummy059 h) (Compiler.CompactSourceSyntax.synWrex (nb090AlphaDummy060 h) (SemanticCore.Class.cv (nb090AlphaDummy052 h)) (SemanticCore.Wff.classEq (SemanticCore.Class.cv (nb090AlphaDummy059 h)) (Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv (nb090AlphaDummy060 h))))))).neg)

Checked nominal proof certificate identified upstream as nb090_split_alpha_0001.

Equations

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Certificates from NAR4C090C001Part026.

noncomputable def NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb090SplitAlpha0002 (v u : SemanticCore.Var) (A : SemanticCore.Class) (h : SemanticCore.Var) : Nominal.TAlphaWff [(nb090AlphaDummy089 A, nb090AlphaDummy090 h), (nb090AlphaDummy058 A, nb090AlphaDummy060 h), (nb090AlphaDummy057 A, nb090AlphaDummy059 h), (nb090AlphaDummy087 A, nb090AlphaDummy088 h), (nb090AlphaDummy061 A, nb090AlphaDummy062 h), (nb090AlphaDummy050 A, nb090AlphaDummy053 h), (nb090AlphaDummy049 A, nb090AlphaDummy052 h), (nb090AlphaDummy055 A, nb090AlphaDummy056 h), (nb090AlphaDummy047 A, nb090AlphaDummy048 h), (nb090AlphaDummy045 A, nb090AlphaDummy046 h), (nb090AlphaDummy000 A, h), (nb090AlphaDummy002 A, v), (nb090AlphaDummy001 A, u), (nb090AlphaDummy003 A, nb090AlphaDummy004 v u A h)] (SemanticCore.Wff.classMem (SemanticCore.Class.cv (nb090AlphaDummy089 A)) (Compiler.CompactSourceSyntax.synCcompl (Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv (nb090AlphaDummy058 A))))) (SemanticCore.Wff.classMem (SemanticCore.Class.cv (nb090AlphaDummy090 h)) (Compiler.CompactSourceSyntax.synCcompl (Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv (nb090AlphaDummy060 h)))))

Checked nominal proof certificate identified upstream as nb090_split_alpha_0002.

Equations

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Certificates from NAR4C090C001Part027.

noncomputable def NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb090SplitAlpha0003 (v u : SemanticCore.Var) (A : SemanticCore.Class) (h : SemanticCore.Var) : Nominal.TAlphaWff [(nb090AlphaDummy099 A, nb090AlphaDummy100 h), (nb090AlphaDummy097 A, nb090AlphaDummy098 h), (nb090AlphaDummy051 A, nb090AlphaDummy054 h), (nb090AlphaDummy050 A, nb090AlphaDummy053 h), (nb090AlphaDummy049 A, nb090AlphaDummy052 h), (nb090AlphaDummy055 A, nb090AlphaDummy056 h), (nb090AlphaDummy047 A, nb090AlphaDummy048 h), (nb090AlphaDummy045 A, nb090AlphaDummy046 h), (nb090AlphaDummy000 A, h), (nb090AlphaDummy002 A, v), (nb090AlphaDummy001 A, u), (nb090AlphaDummy003 A, nb090AlphaDummy004 v u A h)] ((SemanticCore.Wff.classMem (SemanticCore.Class.cv (nb090AlphaDummy099 A)) (SemanticCore.Class.cab (nb090AlphaDummy093 A) (Compiler.CompactSourceSyntax.synWrex (nb090AlphaDummy094 A) (SemanticCore.Class.cv (nb090AlphaDummy049 A)) (SemanticCore.Wff.classEq (SemanticCore.Class.cv (nb090AlphaDummy093 A)) (Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv (nb090AlphaDummy094 A))))))).imp (SemanticCore.Wff.classMem (SemanticCore.Class.cv (nb090AlphaDummy099 A)) (SemanticCore.Class.cab (nb090AlphaDummy093 A) (Compiler.CompactSourceSyntax.synWrex (nb090AlphaDummy094 A) (SemanticCore.Class.cv (nb090AlphaDummy049 A)) (SemanticCore.Wff.classEq (SemanticCore.Class.cv (nb090AlphaDummy093 A)) (Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv (nb090AlphaDummy094 A))))))).neg) ((SemanticCore.Wff.classMem (SemanticCore.Class.cv (nb090AlphaDummy100 h)) (SemanticCore.Class.cab (nb090AlphaDummy095 h) (Compiler.CompactSourceSyntax.synWrex (nb090AlphaDummy096 h) (SemanticCore.Class.cv (nb090AlphaDummy052 h)) (SemanticCore.Wff.classEq (SemanticCore.Class.cv (nb090AlphaDummy095 h)) (Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv (nb090AlphaDummy096 h))))))).imp (SemanticCore.Wff.classMem (SemanticCore.Class.cv (nb090AlphaDummy100 h)) (SemanticCore.Class.cab (nb090AlphaDummy095 h) (Compiler.CompactSourceSyntax.synWrex (nb090AlphaDummy096 h) (SemanticCore.Class.cv (nb090AlphaDummy052 h)) (SemanticCore.Wff.classEq (SemanticCore.Class.cv (nb090AlphaDummy095 h)) (Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv (nb090AlphaDummy096 h))))))).neg)

Checked nominal proof certificate identified upstream as nb090_split_alpha_0003.

Equations

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