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LeanPool.NFWeakPartition.Certificates.NAR4C078C001Block056

Nominal proof certificates grouped in dependency order.

Certificates from NAR4C078C001Part165.

source
noncomputable def NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb078SplitAlpha0145 (x y h : SemanticCore.Var) :
Nominal.TAlphaWff [(nb078AlphaDummy923, nb078AlphaDummy924 h), (nb078AlphaDummy921, nb078AlphaDummy922 h), (nb078AlphaDummy890, nb078AlphaDummy892 h), (nb078AlphaDummy889, nb078AlphaDummy891 h), (nb078AlphaDummy919, nb078AlphaDummy920 h), (nb078AlphaDummy893, nb078AlphaDummy894 h), (nb078AlphaDummy848, nb078AlphaDummy850 h), (nb078AlphaDummy847, nb078AlphaDummy849 h), (nb078AlphaDummy851, nb078AlphaDummy852 h), (nb078AlphaDummy1130, nb078AlphaDummy1132 h), (nb078AlphaDummy1129, nb078AlphaDummy1131 h), (nb078AlphaDummy1133, nb078AlphaDummy1134 h), (nb078AlphaDummy1051, nb078AlphaDummy1054 h), (nb078AlphaDummy1050, nb078AlphaDummy1053 h), (nb078AlphaDummy1049, nb078AlphaDummy1052 h), (nb078AlphaDummy1055, nb078AlphaDummy1056 h), (nb078AlphaDummy1047, nb078AlphaDummy1048 h), (nb078AlphaDummy1045, nb078AlphaDummy1046 h), (nb078AlphaDummy002, h), (nb078AlphaDummy004, y), (nb078AlphaDummy003, x)] ((SemanticCore.Wff.classMem (SemanticCore.Class.cv nb078AlphaDummy923) (Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv nb078AlphaDummy890))).imp (SemanticCore.Wff.classMem (SemanticCore.Class.cv nb078AlphaDummy923) (Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv nb078AlphaDummy890))).neg) ((SemanticCore.Wff.classMem (SemanticCore.Class.cv (nb078AlphaDummy924 h)) (Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv (nb078AlphaDummy892 h)))).imp (SemanticCore.Wff.classMem (SemanticCore.Class.cv (nb078AlphaDummy924 h)) (Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv (nb078AlphaDummy892 h)))).neg)

Checked nominal proof certificate identified upstream as nb078_split_alpha_0145.

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    source
    noncomputable def NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb078SplitAlpha0146 (x y h : SemanticCore.Var) :
    Nominal.TAlphaWff [(nb078AlphaDummy1130, nb078AlphaDummy1132 h), (nb078AlphaDummy1129, nb078AlphaDummy1131 h), (nb078AlphaDummy1133, nb078AlphaDummy1134 h), (nb078AlphaDummy1051, nb078AlphaDummy1054 h), (nb078AlphaDummy1050, nb078AlphaDummy1053 h), (nb078AlphaDummy1049, nb078AlphaDummy1052 h), (nb078AlphaDummy1055, nb078AlphaDummy1056 h), (nb078AlphaDummy1047, nb078AlphaDummy1048 h), (nb078AlphaDummy1045, nb078AlphaDummy1046 h), (nb078AlphaDummy002, h), (nb078AlphaDummy004, y), (nb078AlphaDummy003, x)] ((SemanticCore.Wff.classEq (SemanticCore.Class.cv nb078AlphaDummy1133) (Compiler.CompactSourceSyntax.synCop (SemanticCore.Class.cv nb078AlphaDummy1129) (SemanticCore.Class.cv nb078AlphaDummy1130))).imp (Compiler.CompactSourceSyntax.synWbr (SemanticCore.Class.cv nb078AlphaDummy1130) (Compiler.CompactSourceSyntax.synCcnv (SemanticCore.Class.cv nb078AlphaDummy002)) (SemanticCore.Class.cv nb078AlphaDummy1129)).neg) ((SemanticCore.Wff.classEq (SemanticCore.Class.cv (nb078AlphaDummy1134 h)) (Compiler.CompactSourceSyntax.synCop (SemanticCore.Class.cv (nb078AlphaDummy1131 h)) (SemanticCore.Class.cv (nb078AlphaDummy1132 h)))).imp (Compiler.CompactSourceSyntax.synWbr (SemanticCore.Class.cv (nb078AlphaDummy1132 h)) (Compiler.CompactSourceSyntax.synCcnv (SemanticCore.Class.cv h)) (SemanticCore.Class.cv (nb078AlphaDummy1131 h))).neg)

    Checked nominal proof certificate identified upstream as nb078_split_alpha_0146.

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      Certificates from NAR4C078C001Part166.

      source
      noncomputable def NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb078SplitAlpha0147 (x y h : SemanticCore.Var) :
      Nominal.TAlphaWff [(nb078AlphaDummy1213, nb078AlphaDummy1214 h), (nb078AlphaDummy1211, nb078AlphaDummy1212 h), (nb078AlphaDummy1051, nb078AlphaDummy1054 h), (nb078AlphaDummy1050, nb078AlphaDummy1053 h), (nb078AlphaDummy1049, nb078AlphaDummy1052 h), (nb078AlphaDummy1055, nb078AlphaDummy1056 h), (nb078AlphaDummy1047, nb078AlphaDummy1048 h), (nb078AlphaDummy1045, nb078AlphaDummy1046 h), (nb078AlphaDummy002, h), (nb078AlphaDummy004, y), (nb078AlphaDummy003, x)] ((SemanticCore.Wff.classMem (SemanticCore.Class.cv nb078AlphaDummy1213) (SemanticCore.Class.cab nb078AlphaDummy1207 (Compiler.CompactSourceSyntax.synWrex nb078AlphaDummy1208 (SemanticCore.Class.cv nb078AlphaDummy1051) (SemanticCore.Wff.classEq (SemanticCore.Class.cv nb078AlphaDummy1207) (Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv nb078AlphaDummy1208)))))).imp (SemanticCore.Wff.classMem (SemanticCore.Class.cv nb078AlphaDummy1213) (SemanticCore.Class.cab nb078AlphaDummy1207 (Compiler.CompactSourceSyntax.synWrex nb078AlphaDummy1208 (SemanticCore.Class.cv nb078AlphaDummy1051) (SemanticCore.Wff.classEq (SemanticCore.Class.cv nb078AlphaDummy1207) (Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv nb078AlphaDummy1208)))))).neg) ((SemanticCore.Wff.classMem (SemanticCore.Class.cv (nb078AlphaDummy1214 h)) (SemanticCore.Class.cab (nb078AlphaDummy1209 h) (Compiler.CompactSourceSyntax.synWrex (nb078AlphaDummy1210 h) (SemanticCore.Class.cv (nb078AlphaDummy1054 h)) (SemanticCore.Wff.classEq (SemanticCore.Class.cv (nb078AlphaDummy1209 h)) (Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv (nb078AlphaDummy1210 h))))))).imp (SemanticCore.Wff.classMem (SemanticCore.Class.cv (nb078AlphaDummy1214 h)) (SemanticCore.Class.cab (nb078AlphaDummy1209 h) (Compiler.CompactSourceSyntax.synWrex (nb078AlphaDummy1210 h) (SemanticCore.Class.cv (nb078AlphaDummy1054 h)) (SemanticCore.Wff.classEq (SemanticCore.Class.cv (nb078AlphaDummy1209 h)) (Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv (nb078AlphaDummy1210 h))))))).neg)

      Checked nominal proof certificate identified upstream as nb078_split_alpha_0147.

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