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LeanPool.NFWeakPartition.Certificates.NAR4C078C001Block059

Nominal proof certificates grouped in dependency order.

Certificates from NAR4C078C001Part172.

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noncomputable def NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb078WppRefl0509 (x y h : SemanticCore.Var) :
Nominal.TReflOn [(nb078AlphaDummy1047, nb078AlphaDummy1048 h), (nb078AlphaDummy1045, nb078AlphaDummy1046 h), (nb078AlphaDummy002, h), (nb078AlphaDummy004, y), (nb078AlphaDummy003, x)] Compiler.CompactSourceSyntax.synCid.fv

Checked nominal proof certificate identified upstream as nb078_wpp_refl_0509.

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    noncomputable def NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb078SplitAlpha0154 (x y h : SemanticCore.Var) :
    Nominal.TAlphaWff [(nb078AlphaDummy1063, nb078AlphaDummy1064 h), (nb078AlphaDummy1061, nb078AlphaDummy1062 h), (nb078AlphaDummy1050, nb078AlphaDummy1053 h), (nb078AlphaDummy1049, nb078AlphaDummy1052 h), (nb078AlphaDummy1055, nb078AlphaDummy1056 h), (nb078AlphaDummy002, h), (nb078AlphaDummy004, y), (nb078AlphaDummy003, x)] ((SemanticCore.Wff.classMem (SemanticCore.Class.cv nb078AlphaDummy1063) (SemanticCore.Class.cab nb078AlphaDummy1057 (Compiler.CompactSourceSyntax.synWrex nb078AlphaDummy1058 (SemanticCore.Class.cv nb078AlphaDummy1049) (SemanticCore.Wff.classEq (SemanticCore.Class.cv nb078AlphaDummy1057) (Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv nb078AlphaDummy1058)))))).imp (SemanticCore.Wff.classMem (SemanticCore.Class.cv nb078AlphaDummy1063) (SemanticCore.Class.cab nb078AlphaDummy1057 (Compiler.CompactSourceSyntax.synWrex nb078AlphaDummy1058 (SemanticCore.Class.cv nb078AlphaDummy1049) (SemanticCore.Wff.classEq (SemanticCore.Class.cv nb078AlphaDummy1057) (Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv nb078AlphaDummy1058)))))).neg) ((SemanticCore.Wff.classMem (SemanticCore.Class.cv (nb078AlphaDummy1064 h)) (SemanticCore.Class.cab (nb078AlphaDummy1059 h) (Compiler.CompactSourceSyntax.synWrex (nb078AlphaDummy1060 h) (SemanticCore.Class.cv (nb078AlphaDummy1052 h)) (SemanticCore.Wff.classEq (SemanticCore.Class.cv (nb078AlphaDummy1059 h)) (Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv (nb078AlphaDummy1060 h))))))).imp (SemanticCore.Wff.classMem (SemanticCore.Class.cv (nb078AlphaDummy1064 h)) (SemanticCore.Class.cab (nb078AlphaDummy1059 h) (Compiler.CompactSourceSyntax.synWrex (nb078AlphaDummy1060 h) (SemanticCore.Class.cv (nb078AlphaDummy1052 h)) (SemanticCore.Wff.classEq (SemanticCore.Class.cv (nb078AlphaDummy1059 h)) (Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv (nb078AlphaDummy1060 h))))))).neg)

    Checked nominal proof certificate identified upstream as nb078_split_alpha_0154.

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      Certificates from NAR4C078C001Part173.

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      noncomputable def NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb078SplitAlpha0155 (x y h : SemanticCore.Var) :
      Nominal.TAlphaWff [(nb078AlphaDummy1058, nb078AlphaDummy1060 h), (nb078AlphaDummy1057, nb078AlphaDummy1059 h), (nb078AlphaDummy1087, nb078AlphaDummy1088 h), (nb078AlphaDummy1061, nb078AlphaDummy1062 h), (nb078AlphaDummy1050, nb078AlphaDummy1053 h), (nb078AlphaDummy1049, nb078AlphaDummy1052 h), (nb078AlphaDummy1055, nb078AlphaDummy1056 h), (nb078AlphaDummy002, h), (nb078AlphaDummy004, y), (nb078AlphaDummy003, x)] (SemanticCore.Wff.classEq (SemanticCore.Class.cv nb078AlphaDummy1057) (Compiler.CompactSourceSyntax.synCun (Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv nb078AlphaDummy1058)) (Compiler.CompactSourceSyntax.synCsn Compiler.CompactSourceSyntax.synC0c))) (SemanticCore.Wff.classEq (SemanticCore.Class.cv (nb078AlphaDummy1059 h)) (Compiler.CompactSourceSyntax.synCun (Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv (nb078AlphaDummy1060 h))) (Compiler.CompactSourceSyntax.synCsn Compiler.CompactSourceSyntax.synC0c)))

      Checked nominal proof certificate identified upstream as nb078_split_alpha_0155.

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        Certificates from NAR4C078C001Part174.

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        noncomputable def NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb078SplitAlpha0156 (x y h : SemanticCore.Var) :
        Nominal.TAlphaWff [(nb078AlphaDummy1099, nb078AlphaDummy1100 h), (nb078AlphaDummy1097, nb078AlphaDummy1098 h), (nb078AlphaDummy1051, nb078AlphaDummy1054 h), (nb078AlphaDummy1050, nb078AlphaDummy1053 h), (nb078AlphaDummy1049, nb078AlphaDummy1052 h), (nb078AlphaDummy1055, nb078AlphaDummy1056 h), (nb078AlphaDummy002, h), (nb078AlphaDummy004, y), (nb078AlphaDummy003, x)] ((SemanticCore.Wff.classMem (SemanticCore.Class.cv nb078AlphaDummy1099) (SemanticCore.Class.cab nb078AlphaDummy1093 (Compiler.CompactSourceSyntax.synWrex nb078AlphaDummy1094 (SemanticCore.Class.cv nb078AlphaDummy1049) (SemanticCore.Wff.classEq (SemanticCore.Class.cv nb078AlphaDummy1093) (Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv nb078AlphaDummy1094)))))).imp (SemanticCore.Wff.classMem (SemanticCore.Class.cv nb078AlphaDummy1099) (SemanticCore.Class.cab nb078AlphaDummy1093 (Compiler.CompactSourceSyntax.synWrex nb078AlphaDummy1094 (SemanticCore.Class.cv nb078AlphaDummy1049) (SemanticCore.Wff.classEq (SemanticCore.Class.cv nb078AlphaDummy1093) (Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv nb078AlphaDummy1094)))))).neg) ((SemanticCore.Wff.classMem (SemanticCore.Class.cv (nb078AlphaDummy1100 h)) (SemanticCore.Class.cab (nb078AlphaDummy1095 h) (Compiler.CompactSourceSyntax.synWrex (nb078AlphaDummy1096 h) (SemanticCore.Class.cv (nb078AlphaDummy1052 h)) (SemanticCore.Wff.classEq (SemanticCore.Class.cv (nb078AlphaDummy1095 h)) (Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv (nb078AlphaDummy1096 h))))))).imp (SemanticCore.Wff.classMem (SemanticCore.Class.cv (nb078AlphaDummy1100 h)) (SemanticCore.Class.cab (nb078AlphaDummy1095 h) (Compiler.CompactSourceSyntax.synWrex (nb078AlphaDummy1096 h) (SemanticCore.Class.cv (nb078AlphaDummy1052 h)) (SemanticCore.Wff.classEq (SemanticCore.Class.cv (nb078AlphaDummy1095 h)) (Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv (nb078AlphaDummy1096 h))))))).neg)

        Checked nominal proof certificate identified upstream as nb078_split_alpha_0156.

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