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LeanPool.NFWeakPartition.Certificates.NAR4C070C001Block001

Nominal proof certificates grouped in dependency order.

Certificates from NAR4C070C001Part002.

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noncomputable def NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb070PowerVariableOccurrence (x : SemanticCore.Var) (A : SemanticCore.Class) (b : SemanticCore.Var) :
Nominal.TAlphaClass [(nb070AlphaDummy022 A, nb070AlphaDummy023 x), (nb070AlphaDummy020 A, nb070AlphaDummy021 x), (nb070AlphaDummy018 A, nb070AlphaDummy019 x), (nb070AlphaDummy016 A, nb070AlphaDummy017 x), (nb070AlphaDummy014 A, nb070AlphaDummy015 x), (nb070AlphaDummy012 A, nb070AlphaDummy013 x), (nb070AlphaDummy009 A, nb070AlphaDummy011 x), (nb070AlphaDummy008 A, nb070AlphaDummy010 x), (nb070AlphaDummy001 A, x), (nb070AlphaDummy000 A, b), (nb070AlphaDummy002 A, nb070AlphaDummy003 x A b), (nb070AlphaDummy005 A, nb070AlphaDummy007 x A b), (nb070AlphaDummy004 A, nb070AlphaDummy006 x A b)] (SemanticCore.Class.cv (nb070AlphaDummy001 A)) (SemanticCore.Class.cv x)

Checked nominal proof certificate identified upstream as nb070_power_variable_occurrence.

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    noncomputable def NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb070SplitAlpha0000 (x : SemanticCore.Var) (A : SemanticCore.Class) (b : SemanticCore.Var) :
    Nominal.TAlphaWff [(nb070AlphaDummy014 A, nb070AlphaDummy015 x), (nb070AlphaDummy012 A, nb070AlphaDummy013 x), (nb070AlphaDummy009 A, nb070AlphaDummy011 x), (nb070AlphaDummy008 A, nb070AlphaDummy010 x), (nb070AlphaDummy001 A, x), (nb070AlphaDummy000 A, b), (nb070AlphaDummy002 A, nb070AlphaDummy003 x A b), (nb070AlphaDummy005 A, nb070AlphaDummy007 x A b), (nb070AlphaDummy004 A, nb070AlphaDummy006 x A b)] ((SemanticCore.Wff.classMem (SemanticCore.Class.cv (nb070AlphaDummy014 A)) (Compiler.CompactSourceSyntax.synCnin (Compiler.CompactSourceSyntax.synCpw (SemanticCore.Class.cv (nb070AlphaDummy001 A))) Compiler.CompactSourceSyntax.synC1c)).imp (SemanticCore.Wff.classMem (SemanticCore.Class.cv (nb070AlphaDummy014 A)) (Compiler.CompactSourceSyntax.synCnin (Compiler.CompactSourceSyntax.synCpw (SemanticCore.Class.cv (nb070AlphaDummy001 A))) Compiler.CompactSourceSyntax.synC1c)).neg) ((SemanticCore.Wff.classMem (SemanticCore.Class.cv (nb070AlphaDummy015 x)) (Compiler.CompactSourceSyntax.synCnin (Compiler.CompactSourceSyntax.synCpw (SemanticCore.Class.cv x)) Compiler.CompactSourceSyntax.synC1c)).imp (SemanticCore.Wff.classMem (SemanticCore.Class.cv (nb070AlphaDummy015 x)) (Compiler.CompactSourceSyntax.synCnin (Compiler.CompactSourceSyntax.synCpw (SemanticCore.Class.cv x)) Compiler.CompactSourceSyntax.synC1c)).neg)

    Checked nominal proof certificate identified upstream as nb070_split_alpha_0000.

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      Certificates from NAR4C070C001Part003.

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      noncomputable def NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb070SplitAlpha0001 (x : SemanticCore.Var) (A : SemanticCore.Class) (b : SemanticCore.Var) :
      Nominal.TAlphaWff [(nb070AlphaDummy040 A, nb070AlphaDummy043 x), (nb070AlphaDummy039 A, nb070AlphaDummy042 x), (nb070AlphaDummy038 A, nb070AlphaDummy041 x), (nb070AlphaDummy036 A, nb070AlphaDummy037 x), (nb070AlphaDummy032 A, nb070AlphaDummy034 x), (nb070AlphaDummy033 A, nb070AlphaDummy035 x), (nb070AlphaDummy025 A, nb070AlphaDummy027 x), (nb070AlphaDummy024 A, nb070AlphaDummy026 x), (nb070AlphaDummy030 A, nb070AlphaDummy031 x), (nb070AlphaDummy028 A, nb070AlphaDummy029 x), (nb070AlphaDummy009 A, nb070AlphaDummy011 x), (nb070AlphaDummy008 A, nb070AlphaDummy010 x), (nb070AlphaDummy001 A, x), (nb070AlphaDummy000 A, b), (nb070AlphaDummy002 A, nb070AlphaDummy003 x A b), (nb070AlphaDummy005 A, nb070AlphaDummy007 x A b), (nb070AlphaDummy004 A, nb070AlphaDummy006 x A b)] ((SemanticCore.Wff.classEq (Compiler.CompactSourceSyntax.synCin (SemanticCore.Class.cv (nb070AlphaDummy039 A)) (SemanticCore.Class.cv (nb070AlphaDummy040 A))) Compiler.CompactSourceSyntax.synC0).imp (SemanticCore.Wff.classEq (SemanticCore.Class.cv (nb070AlphaDummy038 A)) (Compiler.CompactSourceSyntax.synCun (SemanticCore.Class.cv (nb070AlphaDummy039 A)) (SemanticCore.Class.cv (nb070AlphaDummy040 A)))).neg) ((SemanticCore.Wff.classEq (Compiler.CompactSourceSyntax.synCin (SemanticCore.Class.cv (nb070AlphaDummy042 x)) (SemanticCore.Class.cv (nb070AlphaDummy043 x))) Compiler.CompactSourceSyntax.synC0).imp (SemanticCore.Wff.classEq (SemanticCore.Class.cv (nb070AlphaDummy041 x)) (Compiler.CompactSourceSyntax.synCun (SemanticCore.Class.cv (nb070AlphaDummy042 x)) (SemanticCore.Class.cv (nb070AlphaDummy043 x)))).neg)

      Checked nominal proof certificate identified upstream as nb070_split_alpha_0001.

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        noncomputable def NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb070SplitAlpha0002 (x : SemanticCore.Var) (A : SemanticCore.Class) (b : SemanticCore.Var) :
        Nominal.TAlphaWff [(nb070AlphaDummy025 A, nb070AlphaDummy027 x), (nb070AlphaDummy024 A, nb070AlphaDummy026 x), (nb070AlphaDummy030 A, nb070AlphaDummy031 x), (nb070AlphaDummy028 A, nb070AlphaDummy029 x), (nb070AlphaDummy009 A, nb070AlphaDummy011 x), (nb070AlphaDummy008 A, nb070AlphaDummy010 x), (nb070AlphaDummy001 A, x), (nb070AlphaDummy000 A, b), (nb070AlphaDummy002 A, nb070AlphaDummy003 x A b), (nb070AlphaDummy005 A, nb070AlphaDummy007 x A b), (nb070AlphaDummy004 A, nb070AlphaDummy006 x A b)] (SemanticCore.Wff.classEq (SemanticCore.Class.cv (nb070AlphaDummy024 A)) (Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv (nb070AlphaDummy025 A)))) (SemanticCore.Wff.classEq (SemanticCore.Class.cv (nb070AlphaDummy026 x)) (Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv (nb070AlphaDummy027 x))))

        Checked nominal proof certificate identified upstream as nb070_split_alpha_0002.

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          noncomputable def NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb070SplitAlpha0003 (x : SemanticCore.Var) (A : SemanticCore.Class) (b : SemanticCore.Var) :
          Nominal.TAlphaWff [(nb070AlphaDummy040 A, nb070AlphaDummy043 x), (nb070AlphaDummy039 A, nb070AlphaDummy042 x), (nb070AlphaDummy038 A, nb070AlphaDummy041 x), (nb070AlphaDummy036 A, nb070AlphaDummy037 x), (nb070AlphaDummy032 A, nb070AlphaDummy034 x), (nb070AlphaDummy033 A, nb070AlphaDummy035 x), (nb070AlphaDummy058 A, nb070AlphaDummy059 x), (nb070AlphaDummy056 A, nb070AlphaDummy057 x), (nb070AlphaDummy025 A, nb070AlphaDummy027 x), (nb070AlphaDummy024 A, nb070AlphaDummy026 x), (nb070AlphaDummy054 A, nb070AlphaDummy055 x), (nb070AlphaDummy028 A, nb070AlphaDummy029 x), (nb070AlphaDummy009 A, nb070AlphaDummy011 x), (nb070AlphaDummy008 A, nb070AlphaDummy010 x), (nb070AlphaDummy001 A, x), (nb070AlphaDummy000 A, b), (nb070AlphaDummy002 A, nb070AlphaDummy003 x A b), (nb070AlphaDummy005 A, nb070AlphaDummy007 x A b), (nb070AlphaDummy004 A, nb070AlphaDummy006 x A b)] ((SemanticCore.Wff.classEq (Compiler.CompactSourceSyntax.synCin (SemanticCore.Class.cv (nb070AlphaDummy039 A)) (SemanticCore.Class.cv (nb070AlphaDummy040 A))) Compiler.CompactSourceSyntax.synC0).imp (SemanticCore.Wff.classEq (SemanticCore.Class.cv (nb070AlphaDummy038 A)) (Compiler.CompactSourceSyntax.synCun (SemanticCore.Class.cv (nb070AlphaDummy039 A)) (SemanticCore.Class.cv (nb070AlphaDummy040 A)))).neg) ((SemanticCore.Wff.classEq (Compiler.CompactSourceSyntax.synCin (SemanticCore.Class.cv (nb070AlphaDummy042 x)) (SemanticCore.Class.cv (nb070AlphaDummy043 x))) Compiler.CompactSourceSyntax.synC0).imp (SemanticCore.Wff.classEq (SemanticCore.Class.cv (nb070AlphaDummy041 x)) (Compiler.CompactSourceSyntax.synCun (SemanticCore.Class.cv (nb070AlphaDummy042 x)) (SemanticCore.Class.cv (nb070AlphaDummy043 x)))).neg)

          Checked nominal proof certificate identified upstream as nb070_split_alpha_0003.

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