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LeanPool.NFWeakPartition.Certificates.NAR4C078C001Block046

Nominal proof certificates grouped in dependency order.

Certificates from NAR4C078C001Part138.

source
noncomputable def NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb078SplitAlpha0116 (x y h : SemanticCore.Var) :
Nominal.TAlphaWff [(nb078AlphaDummy843, nb078AlphaDummy844 h), (nb078AlphaDummy812, nb078AlphaDummy814 h), (nb078AlphaDummy811, nb078AlphaDummy813 h), (nb078AlphaDummy841, nb078AlphaDummy842 h), (nb078AlphaDummy815, nb078AlphaDummy816 h), (nb078AlphaDummy769, nb078AlphaDummy772 h), (nb078AlphaDummy768, nb078AlphaDummy771 h), (nb078AlphaDummy767, nb078AlphaDummy770 h), (nb078AlphaDummy773, nb078AlphaDummy774 h), (nb078AlphaDummy002, h), (nb078AlphaDummy004, y), (nb078AlphaDummy003, x)] (Compiler.CompactSourceSyntax.synWa (SemanticCore.Wff.classMem (SemanticCore.Class.cv nb078AlphaDummy843) (Compiler.CompactSourceSyntax.synCcompl (Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv nb078AlphaDummy812)))) (SemanticCore.Wff.classMem (SemanticCore.Class.cv nb078AlphaDummy843) (Compiler.CompactSourceSyntax.synCcompl (Compiler.CompactSourceSyntax.synCsn Compiler.CompactSourceSyntax.synC0c)))).neg (Compiler.CompactSourceSyntax.synWa (SemanticCore.Wff.classMem (SemanticCore.Class.cv (nb078AlphaDummy844 h)) (Compiler.CompactSourceSyntax.synCcompl (Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv (nb078AlphaDummy814 h))))) (SemanticCore.Wff.classMem (SemanticCore.Class.cv (nb078AlphaDummy844 h)) (Compiler.CompactSourceSyntax.synCcompl (Compiler.CompactSourceSyntax.synCsn Compiler.CompactSourceSyntax.synC0c)))).neg

Checked nominal proof certificate identified upstream as nb078_split_alpha_0116.

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    Certificates from NAR4C078C001Part139.

    source
    noncomputable def NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb078SplitAlpha0117 (x y h : SemanticCore.Var) :
    Nominal.TAlphaWff [(nb078AlphaDummy859, nb078AlphaDummy860 h), (nb078AlphaDummy857, nb078AlphaDummy858 h), (nb078AlphaDummy848, nb078AlphaDummy850 h), (nb078AlphaDummy847, nb078AlphaDummy849 h), (nb078AlphaDummy851, nb078AlphaDummy852 h), (nb078AlphaDummy769, nb078AlphaDummy772 h), (nb078AlphaDummy768, nb078AlphaDummy771 h), (nb078AlphaDummy767, nb078AlphaDummy770 h), (nb078AlphaDummy773, nb078AlphaDummy774 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_0117.

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      Certificates from NAR4C078C001Part140.

      source
      noncomputable def NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb078SplitAlpha0118 (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), (nb078AlphaDummy769, nb078AlphaDummy772 h), (nb078AlphaDummy768, nb078AlphaDummy771 h), (nb078AlphaDummy767, nb078AlphaDummy770 h), (nb078AlphaDummy773, nb078AlphaDummy774 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_0118.

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