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LeanPool.NFWeakPartition.Certificates.NAR4C078C001Block044

Nominal proof certificates grouped in dependency order.

Certificates from NAR4C078C001Part131.

noncomputable def NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb078SplitAlpha0108 (x y h : SemanticCore.Var) :
Nominal.TAlphaWff [(nb078AlphaDummy895, nb078AlphaDummy896 h), (nb078AlphaDummy893, nb078AlphaDummy894 h), (nb078AlphaDummy848, nb078AlphaDummy850 h), (nb078AlphaDummy847, nb078AlphaDummy849 h), (nb078AlphaDummy851, nb078AlphaDummy852 h), (nb078AlphaDummy769, nb078AlphaDummy772 h), (nb078AlphaDummy768, nb078AlphaDummy771 h), (nb078AlphaDummy767, nb078AlphaDummy770 h), (nb078AlphaDummy773, nb078AlphaDummy774 h), (nb078AlphaDummy765, nb078AlphaDummy766 h), (nb078AlphaDummy763, nb078AlphaDummy764 h), (nb078AlphaDummy002, h), (nb078AlphaDummy004, y), (nb078AlphaDummy003, x)] ((SemanticCore.Wff.classMem (SemanticCore.Class.cv nb078AlphaDummy895) (SemanticCore.Class.cab nb078AlphaDummy889 (Compiler.CompactSourceSyntax.synWrex nb078AlphaDummy890 (SemanticCore.Class.cv nb078AlphaDummy848) (SemanticCore.Wff.classEq (SemanticCore.Class.cv nb078AlphaDummy889) (Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv nb078AlphaDummy890)))))).imp (SemanticCore.Wff.classMem (SemanticCore.Class.cv nb078AlphaDummy895) (SemanticCore.Class.cab nb078AlphaDummy889 (Compiler.CompactSourceSyntax.synWrex nb078AlphaDummy890 (SemanticCore.Class.cv nb078AlphaDummy848) (SemanticCore.Wff.classEq (SemanticCore.Class.cv nb078AlphaDummy889) (Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv nb078AlphaDummy890)))))).neg) ((SemanticCore.Wff.classMem (SemanticCore.Class.cv (nb078AlphaDummy896 h)) (SemanticCore.Class.cab (nb078AlphaDummy891 h) (Compiler.CompactSourceSyntax.synWrex (nb078AlphaDummy892 h) (SemanticCore.Class.cv (nb078AlphaDummy850 h)) (SemanticCore.Wff.classEq (SemanticCore.Class.cv (nb078AlphaDummy891 h)) (Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv (nb078AlphaDummy892 h))))))).imp (SemanticCore.Wff.classMem (SemanticCore.Class.cv (nb078AlphaDummy896 h)) (SemanticCore.Class.cab (nb078AlphaDummy891 h) (Compiler.CompactSourceSyntax.synWrex (nb078AlphaDummy892 h) (SemanticCore.Class.cv (nb078AlphaDummy850 h)) (SemanticCore.Wff.classEq (SemanticCore.Class.cv (nb078AlphaDummy891 h)) (Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv (nb078AlphaDummy892 h))))))).neg)

Checked nominal proof certificate identified upstream as nb078_split_alpha_0108.

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    Certificates from NAR4C078C001Part132.

    noncomputable def NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb078SplitAlpha0109 (x y h : SemanticCore.Var) :

    Checked nominal proof certificate identified upstream as nb078_split_alpha_0109.

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      Certificates from NAR4C078C001Part133.

      noncomputable def NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb078SplitAlpha0110 (x y h : SemanticCore.Var) :
      Nominal.TAlphaWff [(nb078AlphaDummy931, nb078AlphaDummy932 h), (nb078AlphaDummy929, nb078AlphaDummy930 h), (nb078AlphaDummy769, nb078AlphaDummy772 h), (nb078AlphaDummy768, nb078AlphaDummy771 h), (nb078AlphaDummy767, nb078AlphaDummy770 h), (nb078AlphaDummy773, nb078AlphaDummy774 h), (nb078AlphaDummy765, nb078AlphaDummy766 h), (nb078AlphaDummy763, nb078AlphaDummy764 h), (nb078AlphaDummy002, h), (nb078AlphaDummy004, y), (nb078AlphaDummy003, x)] ((SemanticCore.Wff.classMem (SemanticCore.Class.cv nb078AlphaDummy931) (SemanticCore.Class.cab nb078AlphaDummy925 (Compiler.CompactSourceSyntax.synWrex nb078AlphaDummy926 (SemanticCore.Class.cv nb078AlphaDummy769) (SemanticCore.Wff.classEq (SemanticCore.Class.cv nb078AlphaDummy925) (Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv nb078AlphaDummy926)))))).imp (SemanticCore.Wff.classMem (SemanticCore.Class.cv nb078AlphaDummy931) (SemanticCore.Class.cab nb078AlphaDummy925 (Compiler.CompactSourceSyntax.synWrex nb078AlphaDummy926 (SemanticCore.Class.cv nb078AlphaDummy769) (SemanticCore.Wff.classEq (SemanticCore.Class.cv nb078AlphaDummy925) (Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv nb078AlphaDummy926)))))).neg) ((SemanticCore.Wff.classMem (SemanticCore.Class.cv (nb078AlphaDummy932 h)) (SemanticCore.Class.cab (nb078AlphaDummy927 h) (Compiler.CompactSourceSyntax.synWrex (nb078AlphaDummy928 h) (SemanticCore.Class.cv (nb078AlphaDummy772 h)) (SemanticCore.Wff.classEq (SemanticCore.Class.cv (nb078AlphaDummy927 h)) (Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv (nb078AlphaDummy928 h))))))).imp (SemanticCore.Wff.classMem (SemanticCore.Class.cv (nb078AlphaDummy932 h)) (SemanticCore.Class.cab (nb078AlphaDummy927 h) (Compiler.CompactSourceSyntax.synWrex (nb078AlphaDummy928 h) (SemanticCore.Class.cv (nb078AlphaDummy772 h)) (SemanticCore.Wff.classEq (SemanticCore.Class.cv (nb078AlphaDummy927 h)) (Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv (nb078AlphaDummy928 h))))))).neg)

      Checked nominal proof certificate identified upstream as nb078_split_alpha_0110.

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