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LeanPool.NFWeakPartition.Certificates.NAR4C078C001Block064

Nominal proof certificates grouped in dependency order.

Certificates from NAR4C078C001Part185.

source
noncomputable def NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb078SplitAlpha0168 (x y h : SemanticCore.Var) :
Nominal.TAlphaWff [(nb078AlphaDummy1239, nb078AlphaDummy1240 h), (nb078AlphaDummy1208, nb078AlphaDummy1210 h), (nb078AlphaDummy1207, nb078AlphaDummy1209 h), (nb078AlphaDummy1237, nb078AlphaDummy1238 h), (nb078AlphaDummy1211, nb078AlphaDummy1212 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 nb078AlphaDummy1239) (Compiler.CompactSourceSyntax.synCcompl (Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv nb078AlphaDummy1208)))).imp (SemanticCore.Wff.classMem (SemanticCore.Class.cv nb078AlphaDummy1239) (Compiler.CompactSourceSyntax.synCcompl (Compiler.CompactSourceSyntax.synCsn Compiler.CompactSourceSyntax.synC0c))).neg) ((SemanticCore.Wff.classMem (SemanticCore.Class.cv (nb078AlphaDummy1240 h)) (Compiler.CompactSourceSyntax.synCcompl (Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv (nb078AlphaDummy1210 h))))).imp (SemanticCore.Wff.classMem (SemanticCore.Class.cv (nb078AlphaDummy1240 h)) (Compiler.CompactSourceSyntax.synCcompl (Compiler.CompactSourceSyntax.synCsn Compiler.CompactSourceSyntax.synC0c))).neg)

Checked nominal proof certificate identified upstream as nb078_split_alpha_0168.

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    Certificates from NAR4C078C001Part186.

    source
    noncomputable def NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb078SplitAlpha0169 (x y h : SemanticCore.Var) :
    Nominal.TAlphaWff [(nb078AlphaDummy859, nb078AlphaDummy860 h), (nb078AlphaDummy857, nb078AlphaDummy858 h), (nb078AlphaDummy848, nb078AlphaDummy850 h), (nb078AlphaDummy847, nb078AlphaDummy849 h), (nb078AlphaDummy851, nb078AlphaDummy852 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 nb078AlphaDummy859) (SemanticCore.Class.cab nb078AlphaDummy853 (Compiler.CompactSourceSyntax.synWrex nb078AlphaDummy854 (SemanticCore.Class.cv nb078AlphaDummy847) (SemanticCore.Wff.classEq (SemanticCore.Class.cv nb078AlphaDummy853) (Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv nb078AlphaDummy854)))))).imp (SemanticCore.Wff.classMem (SemanticCore.Class.cv nb078AlphaDummy859) (SemanticCore.Class.cab nb078AlphaDummy853 (Compiler.CompactSourceSyntax.synWrex nb078AlphaDummy854 (SemanticCore.Class.cv nb078AlphaDummy847) (SemanticCore.Wff.classEq (SemanticCore.Class.cv nb078AlphaDummy853) (Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv nb078AlphaDummy854)))))).neg) ((SemanticCore.Wff.classMem (SemanticCore.Class.cv (nb078AlphaDummy860 h)) (SemanticCore.Class.cab (nb078AlphaDummy855 h) (Compiler.CompactSourceSyntax.synWrex (nb078AlphaDummy856 h) (SemanticCore.Class.cv (nb078AlphaDummy849 h)) (SemanticCore.Wff.classEq (SemanticCore.Class.cv (nb078AlphaDummy855 h)) (Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv (nb078AlphaDummy856 h))))))).imp (SemanticCore.Wff.classMem (SemanticCore.Class.cv (nb078AlphaDummy860 h)) (SemanticCore.Class.cab (nb078AlphaDummy855 h) (Compiler.CompactSourceSyntax.synWrex (nb078AlphaDummy856 h) (SemanticCore.Class.cv (nb078AlphaDummy849 h)) (SemanticCore.Wff.classEq (SemanticCore.Class.cv (nb078AlphaDummy855 h)) (Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv (nb078AlphaDummy856 h))))))).neg)

    Checked nominal proof certificate identified upstream as nb078_split_alpha_0169.

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      Certificates from NAR4C078C001Part187.

      source
      noncomputable def NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb078SplitAlpha0170 (x y h : SemanticCore.Var) :
      Nominal.TAlphaWff [(nb078AlphaDummy887, nb078AlphaDummy888 h), (nb078AlphaDummy885, nb078AlphaDummy886 h), (nb078AlphaDummy854, nb078AlphaDummy856 h), (nb078AlphaDummy853, nb078AlphaDummy855 h), (nb078AlphaDummy883, nb078AlphaDummy884 h), (nb078AlphaDummy857, nb078AlphaDummy858 h), (nb078AlphaDummy848, nb078AlphaDummy850 h), (nb078AlphaDummy847, nb078AlphaDummy849 h), (nb078AlphaDummy851, nb078AlphaDummy852 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 nb078AlphaDummy887) (Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv nb078AlphaDummy854))).imp (SemanticCore.Wff.classMem (SemanticCore.Class.cv nb078AlphaDummy887) (Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv nb078AlphaDummy854))).neg) ((SemanticCore.Wff.classMem (SemanticCore.Class.cv (nb078AlphaDummy888 h)) (Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv (nb078AlphaDummy856 h)))).imp (SemanticCore.Wff.classMem (SemanticCore.Class.cv (nb078AlphaDummy888 h)) (Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv (nb078AlphaDummy856 h)))).neg)

      Checked nominal proof certificate identified upstream as nb078_split_alpha_0170.

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