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LeanPool.NFWeakPartition.Certificates.NAR4C078C001Block042

Nominal proof certificates grouped in dependency order.

Certificates from NAR4C078C001Part125.

source
noncomputable def NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb078SplitAlpha0102 (x y h : SemanticCore.Var) :
Nominal.TAlphaWff [(nb078AlphaDummy781, nb078AlphaDummy782 h), (nb078AlphaDummy779, nb078AlphaDummy780 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 nb078AlphaDummy781) (SemanticCore.Class.cab nb078AlphaDummy775 (Compiler.CompactSourceSyntax.synWrex nb078AlphaDummy776 (SemanticCore.Class.cv nb078AlphaDummy767) (SemanticCore.Wff.classEq (SemanticCore.Class.cv nb078AlphaDummy775) (Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv nb078AlphaDummy776)))))).imp (SemanticCore.Wff.classMem (SemanticCore.Class.cv nb078AlphaDummy781) (SemanticCore.Class.cab nb078AlphaDummy775 (Compiler.CompactSourceSyntax.synWrex nb078AlphaDummy776 (SemanticCore.Class.cv nb078AlphaDummy767) (SemanticCore.Wff.classEq (SemanticCore.Class.cv nb078AlphaDummy775) (Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv nb078AlphaDummy776)))))).neg) ((SemanticCore.Wff.classMem (SemanticCore.Class.cv (nb078AlphaDummy782 h)) (SemanticCore.Class.cab (nb078AlphaDummy777 h) (Compiler.CompactSourceSyntax.synWrex (nb078AlphaDummy778 h) (SemanticCore.Class.cv (nb078AlphaDummy770 h)) (SemanticCore.Wff.classEq (SemanticCore.Class.cv (nb078AlphaDummy777 h)) (Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv (nb078AlphaDummy778 h))))))).imp (SemanticCore.Wff.classMem (SemanticCore.Class.cv (nb078AlphaDummy782 h)) (SemanticCore.Class.cab (nb078AlphaDummy777 h) (Compiler.CompactSourceSyntax.synWrex (nb078AlphaDummy778 h) (SemanticCore.Class.cv (nb078AlphaDummy770 h)) (SemanticCore.Wff.classEq (SemanticCore.Class.cv (nb078AlphaDummy777 h)) (Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv (nb078AlphaDummy778 h))))))).neg)

Checked nominal proof certificate identified upstream as nb078_split_alpha_0102.

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    Certificates from NAR4C078C001Part126.

    source
    noncomputable def NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb078SplitAlpha0103 (x y h : SemanticCore.Var) :
    Nominal.TAlphaWff [(nb078AlphaDummy807, nb078AlphaDummy808 h), (nb078AlphaDummy776, nb078AlphaDummy778 h), (nb078AlphaDummy775, nb078AlphaDummy777 h), (nb078AlphaDummy805, nb078AlphaDummy806 h), (nb078AlphaDummy779, nb078AlphaDummy780 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 nb078AlphaDummy807) (Compiler.CompactSourceSyntax.synCcompl (Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv nb078AlphaDummy776)))).imp (SemanticCore.Wff.classMem (SemanticCore.Class.cv nb078AlphaDummy807) (Compiler.CompactSourceSyntax.synCcompl (Compiler.CompactSourceSyntax.synCsn Compiler.CompactSourceSyntax.synC0c))).neg) ((SemanticCore.Wff.classMem (SemanticCore.Class.cv (nb078AlphaDummy808 h)) (Compiler.CompactSourceSyntax.synCcompl (Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv (nb078AlphaDummy778 h))))).imp (SemanticCore.Wff.classMem (SemanticCore.Class.cv (nb078AlphaDummy808 h)) (Compiler.CompactSourceSyntax.synCcompl (Compiler.CompactSourceSyntax.synCsn Compiler.CompactSourceSyntax.synC0c))).neg)

    Checked nominal proof certificate identified upstream as nb078_split_alpha_0103.

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      Certificates from NAR4C078C001Part127.

      source
      noncomputable def NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb078SplitAlpha0104 (x y h : SemanticCore.Var) :
      Nominal.TAlphaWff [(nb078AlphaDummy817, nb078AlphaDummy818 h), (nb078AlphaDummy815, nb078AlphaDummy816 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 nb078AlphaDummy817) (SemanticCore.Class.cab nb078AlphaDummy811 (Compiler.CompactSourceSyntax.synWrex nb078AlphaDummy812 (SemanticCore.Class.cv nb078AlphaDummy767) (SemanticCore.Wff.classEq (SemanticCore.Class.cv nb078AlphaDummy811) (Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv nb078AlphaDummy812)))))).imp (SemanticCore.Wff.classMem (SemanticCore.Class.cv nb078AlphaDummy817) (SemanticCore.Class.cab nb078AlphaDummy811 (Compiler.CompactSourceSyntax.synWrex nb078AlphaDummy812 (SemanticCore.Class.cv nb078AlphaDummy767) (SemanticCore.Wff.classEq (SemanticCore.Class.cv nb078AlphaDummy811) (Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv nb078AlphaDummy812)))))).neg) ((SemanticCore.Wff.classMem (SemanticCore.Class.cv (nb078AlphaDummy818 h)) (SemanticCore.Class.cab (nb078AlphaDummy813 h) (Compiler.CompactSourceSyntax.synWrex (nb078AlphaDummy814 h) (SemanticCore.Class.cv (nb078AlphaDummy770 h)) (SemanticCore.Wff.classEq (SemanticCore.Class.cv (nb078AlphaDummy813 h)) (Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv (nb078AlphaDummy814 h))))))).imp (SemanticCore.Wff.classMem (SemanticCore.Class.cv (nb078AlphaDummy818 h)) (SemanticCore.Class.cab (nb078AlphaDummy813 h) (Compiler.CompactSourceSyntax.synWrex (nb078AlphaDummy814 h) (SemanticCore.Class.cv (nb078AlphaDummy770 h)) (SemanticCore.Wff.classEq (SemanticCore.Class.cv (nb078AlphaDummy813 h)) (Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv (nb078AlphaDummy814 h))))))).neg)

      Checked nominal proof certificate identified upstream as nb078_split_alpha_0104.

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