Nominal proof certificates grouped in dependency order.

Certificates from NAR4C058C001Part002.

noncomputable def NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb058SplitAlpha0000 (x : SemanticCore.Var) : Nominal.TAlphaWff [(nb058AlphaDummy021, nb058AlphaDummy024 x), (nb058AlphaDummy020, nb058AlphaDummy023 x), (nb058AlphaDummy019, nb058AlphaDummy022 x), (nb058AlphaDummy017, nb058AlphaDummy018 x), (nb058AlphaDummy013, nb058AlphaDummy015 x), (nb058AlphaDummy014, nb058AlphaDummy016 x), (nb058AlphaDummy006, nb058AlphaDummy008 x), (nb058AlphaDummy005, nb058AlphaDummy007 x), (nb058AlphaDummy011, nb058AlphaDummy012 x), (nb058AlphaDummy009, nb058AlphaDummy010 x), (nb058AlphaDummy001, nb058AlphaDummy002 x), (nb058AlphaDummy000, x), (nb058AlphaDummy003, nb058AlphaDummy004 x)] ((SemanticCore.Wff.classEq (Compiler.CompactSourceSyntax.synCin (SemanticCore.Class.cv nb058AlphaDummy020) (SemanticCore.Class.cv nb058AlphaDummy021)) Compiler.CompactSourceSyntax.synC0).imp (SemanticCore.Wff.classEq (SemanticCore.Class.cv nb058AlphaDummy019) (Compiler.CompactSourceSyntax.synCun (SemanticCore.Class.cv nb058AlphaDummy020) (SemanticCore.Class.cv nb058AlphaDummy021))).neg) ((SemanticCore.Wff.classEq (Compiler.CompactSourceSyntax.synCin (SemanticCore.Class.cv (nb058AlphaDummy023 x)) (SemanticCore.Class.cv (nb058AlphaDummy024 x))) Compiler.CompactSourceSyntax.synC0).imp (SemanticCore.Wff.classEq (SemanticCore.Class.cv (nb058AlphaDummy022 x)) (Compiler.CompactSourceSyntax.synCun (SemanticCore.Class.cv (nb058AlphaDummy023 x)) (SemanticCore.Class.cv (nb058AlphaDummy024 x)))).neg)

Checked nominal proof certificate identified upstream as nb058_split_alpha_0000.

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noncomputable def NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb058SplitAlpha0001 (x : SemanticCore.Var) : Nominal.TAlphaWff [(nb058AlphaDummy006, nb058AlphaDummy008 x), (nb058AlphaDummy005, nb058AlphaDummy007 x), (nb058AlphaDummy011, nb058AlphaDummy012 x), (nb058AlphaDummy009, nb058AlphaDummy010 x), (nb058AlphaDummy001, nb058AlphaDummy002 x), (nb058AlphaDummy000, x), (nb058AlphaDummy003, nb058AlphaDummy004 x)] ((SemanticCore.Wff.classMem (SemanticCore.Class.cv nb058AlphaDummy006) (SemanticCore.Class.cv nb058AlphaDummy000)).imp (SemanticCore.Wff.classEq (SemanticCore.Class.cv nb058AlphaDummy005) (Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv nb058AlphaDummy006))).neg) ((SemanticCore.Wff.classMem (SemanticCore.Class.cv (nb058AlphaDummy008 x)) (SemanticCore.Class.cv x)).imp (SemanticCore.Wff.classEq (SemanticCore.Class.cv (nb058AlphaDummy007 x)) (Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv (nb058AlphaDummy008 x)))).neg)

Checked nominal proof certificate identified upstream as nb058_split_alpha_0001.

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Certificates from NAR4C058C001Part003.

noncomputable def NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb058SplitAlpha0002 (x : SemanticCore.Var) : Nominal.TAlphaWff [(nb058AlphaDummy021, nb058AlphaDummy024 x), (nb058AlphaDummy020, nb058AlphaDummy023 x), (nb058AlphaDummy019, nb058AlphaDummy022 x), (nb058AlphaDummy017, nb058AlphaDummy018 x), (nb058AlphaDummy013, nb058AlphaDummy015 x), (nb058AlphaDummy014, nb058AlphaDummy016 x), (nb058AlphaDummy039, nb058AlphaDummy040 x), (nb058AlphaDummy037, nb058AlphaDummy038 x), (nb058AlphaDummy006, nb058AlphaDummy008 x), (nb058AlphaDummy005, nb058AlphaDummy007 x), (nb058AlphaDummy035, nb058AlphaDummy036 x), (nb058AlphaDummy009, nb058AlphaDummy010 x), (nb058AlphaDummy001, nb058AlphaDummy002 x), (nb058AlphaDummy000, x), (nb058AlphaDummy003, nb058AlphaDummy004 x)] ((SemanticCore.Wff.classEq (Compiler.CompactSourceSyntax.synCin (SemanticCore.Class.cv nb058AlphaDummy020) (SemanticCore.Class.cv nb058AlphaDummy021)) Compiler.CompactSourceSyntax.synC0).imp (SemanticCore.Wff.classEq (SemanticCore.Class.cv nb058AlphaDummy019) (Compiler.CompactSourceSyntax.synCun (SemanticCore.Class.cv nb058AlphaDummy020) (SemanticCore.Class.cv nb058AlphaDummy021))).neg) ((SemanticCore.Wff.classEq (Compiler.CompactSourceSyntax.synCin (SemanticCore.Class.cv (nb058AlphaDummy023 x)) (SemanticCore.Class.cv (nb058AlphaDummy024 x))) Compiler.CompactSourceSyntax.synC0).imp (SemanticCore.Wff.classEq (SemanticCore.Class.cv (nb058AlphaDummy022 x)) (Compiler.CompactSourceSyntax.synCun (SemanticCore.Class.cv (nb058AlphaDummy023 x)) (SemanticCore.Class.cv (nb058AlphaDummy024 x)))).neg)

Checked nominal proof certificate identified upstream as nb058_split_alpha_0002.

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noncomputable def NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb058SplitAlpha0003 (x : SemanticCore.Var) : Nominal.TAlphaWff [(nb058AlphaDummy039, nb058AlphaDummy040 x), (nb058AlphaDummy037, nb058AlphaDummy038 x), (nb058AlphaDummy006, nb058AlphaDummy008 x), (nb058AlphaDummy005, nb058AlphaDummy007 x), (nb058AlphaDummy035, nb058AlphaDummy036 x), (nb058AlphaDummy009, nb058AlphaDummy010 x), (nb058AlphaDummy001, nb058AlphaDummy002 x), (nb058AlphaDummy000, x), (nb058AlphaDummy003, nb058AlphaDummy004 x)] (SemanticCore.Wff.classMem (SemanticCore.Class.cv nb058AlphaDummy039) (Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv nb058AlphaDummy006))) (SemanticCore.Wff.classMem (SemanticCore.Class.cv (nb058AlphaDummy040 x)) (Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv (nb058AlphaDummy008 x))))

Checked nominal proof certificate identified upstream as nb058_split_alpha_0003.

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noncomputable def NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb058SplitAlpha0004 (x : SemanticCore.Var) : Nominal.TAlphaWff [(nb058AlphaDummy001, nb058AlphaDummy002 x), (nb058AlphaDummy000, x), (nb058AlphaDummy003, nb058AlphaDummy004 x)] (SemanticCore.Wff.classEq (SemanticCore.Class.cv nb058AlphaDummy003) (Compiler.CompactSourceSyntax.synCop (SemanticCore.Class.cv nb058AlphaDummy000) (SemanticCore.Class.cv nb058AlphaDummy001))) (SemanticCore.Wff.classEq (SemanticCore.Class.cv (nb058AlphaDummy004 x)) (Compiler.CompactSourceSyntax.synCop (SemanticCore.Class.cv x) (SemanticCore.Class.cv (nb058AlphaDummy002 x))))

Checked nominal proof certificate identified upstream as nb058_split_alpha_0004.

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noncomputable def NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb058SplitAlpha0005 (x : SemanticCore.Var) : Nominal.TAlphaWff [(nb058AlphaDummy043, nb058AlphaDummy044 x), (nb058AlphaDummy041, nb058AlphaDummy042 x), (nb058AlphaDummy001, nb058AlphaDummy002 x), (nb058AlphaDummy000, x), (nb058AlphaDummy003, nb058AlphaDummy004 x)] (SemanticCore.Wff.classMem (SemanticCore.Class.cv nb058AlphaDummy043) (Compiler.CompactSourceSyntax.synCpw (Compiler.CompactSourceSyntax.synCuni (SemanticCore.Class.cv nb058AlphaDummy000)))) (SemanticCore.Wff.classMem (SemanticCore.Class.cv (nb058AlphaDummy044 x)) (Compiler.CompactSourceSyntax.synCpw (Compiler.CompactSourceSyntax.synCuni (SemanticCore.Class.cv x))))

Checked nominal proof certificate identified upstream as nb058_split_alpha_0005.

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noncomputable def NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nominalDfPw1fn (x : SemanticCore.Var) : Nominal.NPrf (SemanticCore.Wff.classEq Compiler.CompactSourceSyntax.synCpw1fn (Compiler.CompactSourceSyntax.synCmpt x Compiler.CompactSourceSyntax.synC1c (Compiler.CompactSourceSyntax.synCpw1 (Compiler.CompactSourceSyntax.synCuni (SemanticCore.Class.cv x)))))

Checked nominal proof certificate identified upstream as nominal_df_pw1fn.

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