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LeanPool.NFWeakPartition.Certificates.NAR4C078C001Block060

Nominal proof certificates grouped in dependency order.

Certificates from NAR4C078C001Part175.

source
noncomputable def NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb078SplitAlpha0157 (x y h : SemanticCore.Var) :
Nominal.TAlphaWff [(nb078AlphaDummy1125, nb078AlphaDummy1126 h), (nb078AlphaDummy1094, nb078AlphaDummy1096 h), (nb078AlphaDummy1093, nb078AlphaDummy1095 h), (nb078AlphaDummy1123, nb078AlphaDummy1124 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 nb078AlphaDummy1125) (Compiler.CompactSourceSyntax.synCcompl (Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv nb078AlphaDummy1094)))).imp (SemanticCore.Wff.classMem (SemanticCore.Class.cv nb078AlphaDummy1125) (Compiler.CompactSourceSyntax.synCcompl (Compiler.CompactSourceSyntax.synCsn Compiler.CompactSourceSyntax.synC0c))).neg) ((SemanticCore.Wff.classMem (SemanticCore.Class.cv (nb078AlphaDummy1126 h)) (Compiler.CompactSourceSyntax.synCcompl (Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv (nb078AlphaDummy1096 h))))).imp (SemanticCore.Wff.classMem (SemanticCore.Class.cv (nb078AlphaDummy1126 h)) (Compiler.CompactSourceSyntax.synCcompl (Compiler.CompactSourceSyntax.synCsn Compiler.CompactSourceSyntax.synC0c))).neg)

Checked nominal proof certificate identified upstream as nb078_split_alpha_0157.

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    Certificates from NAR4C078C001Part176.

    source
    noncomputable def NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb078SplitAlpha0158 (x y h : SemanticCore.Var) :
    Nominal.TAlphaWff [(nb078AlphaDummy1141, nb078AlphaDummy1142 h), (nb078AlphaDummy1139, nb078AlphaDummy1140 h), (nb078AlphaDummy1130, nb078AlphaDummy1132 h), (nb078AlphaDummy1129, nb078AlphaDummy1131 h), (nb078AlphaDummy1133, nb078AlphaDummy1134 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 nb078AlphaDummy1141) (SemanticCore.Class.cab nb078AlphaDummy1135 (Compiler.CompactSourceSyntax.synWrex nb078AlphaDummy1136 (SemanticCore.Class.cv nb078AlphaDummy1129) (SemanticCore.Wff.classEq (SemanticCore.Class.cv nb078AlphaDummy1135) (Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv nb078AlphaDummy1136)))))).imp (SemanticCore.Wff.classMem (SemanticCore.Class.cv nb078AlphaDummy1141) (SemanticCore.Class.cab nb078AlphaDummy1135 (Compiler.CompactSourceSyntax.synWrex nb078AlphaDummy1136 (SemanticCore.Class.cv nb078AlphaDummy1129) (SemanticCore.Wff.classEq (SemanticCore.Class.cv nb078AlphaDummy1135) (Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv nb078AlphaDummy1136)))))).neg) ((SemanticCore.Wff.classMem (SemanticCore.Class.cv (nb078AlphaDummy1142 h)) (SemanticCore.Class.cab (nb078AlphaDummy1137 h) (Compiler.CompactSourceSyntax.synWrex (nb078AlphaDummy1138 h) (SemanticCore.Class.cv (nb078AlphaDummy1131 h)) (SemanticCore.Wff.classEq (SemanticCore.Class.cv (nb078AlphaDummy1137 h)) (Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv (nb078AlphaDummy1138 h))))))).imp (SemanticCore.Wff.classMem (SemanticCore.Class.cv (nb078AlphaDummy1142 h)) (SemanticCore.Class.cab (nb078AlphaDummy1137 h) (Compiler.CompactSourceSyntax.synWrex (nb078AlphaDummy1138 h) (SemanticCore.Class.cv (nb078AlphaDummy1131 h)) (SemanticCore.Wff.classEq (SemanticCore.Class.cv (nb078AlphaDummy1137 h)) (Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv (nb078AlphaDummy1138 h))))))).neg)

    Checked nominal proof certificate identified upstream as nb078_split_alpha_0158.

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      Certificates from NAR4C078C001Part177.

      source
      noncomputable def NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb078SplitAlpha0159 (x y h : SemanticCore.Var) :
      Nominal.TAlphaWff [(nb078AlphaDummy1169, nb078AlphaDummy1170 h), (nb078AlphaDummy1167, nb078AlphaDummy1168 h), (nb078AlphaDummy1136, nb078AlphaDummy1138 h), (nb078AlphaDummy1135, nb078AlphaDummy1137 h), (nb078AlphaDummy1165, nb078AlphaDummy1166 h), (nb078AlphaDummy1139, nb078AlphaDummy1140 h), (nb078AlphaDummy1130, nb078AlphaDummy1132 h), (nb078AlphaDummy1129, nb078AlphaDummy1131 h), (nb078AlphaDummy1133, nb078AlphaDummy1134 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 nb078AlphaDummy1169) (Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv nb078AlphaDummy1136))).imp (SemanticCore.Wff.classMem (SemanticCore.Class.cv nb078AlphaDummy1169) (Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv nb078AlphaDummy1136))).neg) ((SemanticCore.Wff.classMem (SemanticCore.Class.cv (nb078AlphaDummy1170 h)) (Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv (nb078AlphaDummy1138 h)))).imp (SemanticCore.Wff.classMem (SemanticCore.Class.cv (nb078AlphaDummy1170 h)) (Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv (nb078AlphaDummy1138 h)))).neg)

      Checked nominal proof certificate identified upstream as nb078_split_alpha_0159.

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