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LeanPool.NFWeakPartition.Certificates.NAR4C078C001Block054

Nominal proof certificates grouped in dependency order.

Certificates from NAR4C078C001Part160.

source
noncomputable def NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb078SplitAlpha0140 (x y h : SemanticCore.Var) :
Nominal.TAlphaWff [(nb078AlphaDummy1177, nb078AlphaDummy1178 h), (nb078AlphaDummy1175, nb078AlphaDummy1176 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 nb078AlphaDummy1177) (SemanticCore.Class.cab nb078AlphaDummy1171 (Compiler.CompactSourceSyntax.synWrex nb078AlphaDummy1172 (SemanticCore.Class.cv nb078AlphaDummy1130) (SemanticCore.Wff.classEq (SemanticCore.Class.cv nb078AlphaDummy1171) (Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv nb078AlphaDummy1172)))))).imp (SemanticCore.Wff.classMem (SemanticCore.Class.cv nb078AlphaDummy1177) (SemanticCore.Class.cab nb078AlphaDummy1171 (Compiler.CompactSourceSyntax.synWrex nb078AlphaDummy1172 (SemanticCore.Class.cv nb078AlphaDummy1130) (SemanticCore.Wff.classEq (SemanticCore.Class.cv nb078AlphaDummy1171) (Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv nb078AlphaDummy1172)))))).neg) ((SemanticCore.Wff.classMem (SemanticCore.Class.cv (nb078AlphaDummy1178 h)) (SemanticCore.Class.cab (nb078AlphaDummy1173 h) (Compiler.CompactSourceSyntax.synWrex (nb078AlphaDummy1174 h) (SemanticCore.Class.cv (nb078AlphaDummy1132 h)) (SemanticCore.Wff.classEq (SemanticCore.Class.cv (nb078AlphaDummy1173 h)) (Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv (nb078AlphaDummy1174 h))))))).imp (SemanticCore.Wff.classMem (SemanticCore.Class.cv (nb078AlphaDummy1178 h)) (SemanticCore.Class.cab (nb078AlphaDummy1173 h) (Compiler.CompactSourceSyntax.synWrex (nb078AlphaDummy1174 h) (SemanticCore.Class.cv (nb078AlphaDummy1132 h)) (SemanticCore.Wff.classEq (SemanticCore.Class.cv (nb078AlphaDummy1173 h)) (Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv (nb078AlphaDummy1174 h))))))).neg)

Checked nominal proof certificate identified upstream as nb078_split_alpha_0140.

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    Certificates from NAR4C078C001Part161.

    source
    noncomputable def NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb078SplitAlpha0141 (x y h : SemanticCore.Var) :
    Nominal.TAlphaWff [(nb078AlphaDummy1205, nb078AlphaDummy1206 h), (nb078AlphaDummy1203, nb078AlphaDummy1204 h), (nb078AlphaDummy1172, nb078AlphaDummy1174 h), (nb078AlphaDummy1171, nb078AlphaDummy1173 h), (nb078AlphaDummy1201, nb078AlphaDummy1202 h), (nb078AlphaDummy1175, nb078AlphaDummy1176 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 nb078AlphaDummy1205) (Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv nb078AlphaDummy1172))).imp (SemanticCore.Wff.classMem (SemanticCore.Class.cv nb078AlphaDummy1205) (Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv nb078AlphaDummy1172))).neg) ((SemanticCore.Wff.classMem (SemanticCore.Class.cv (nb078AlphaDummy1206 h)) (Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv (nb078AlphaDummy1174 h)))).imp (SemanticCore.Wff.classMem (SemanticCore.Class.cv (nb078AlphaDummy1206 h)) (Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv (nb078AlphaDummy1174 h)))).neg)

    Checked nominal proof certificate identified upstream as nb078_split_alpha_0141.

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      Certificates from NAR4C078C001Part162.

      source
      noncomputable def NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb078SplitAlpha0142 (x y h : SemanticCore.Var) :
      Nominal.TAlphaWff [(nb078AlphaDummy859, nb078AlphaDummy860 h), (nb078AlphaDummy857, nb078AlphaDummy858 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 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_0142.

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