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LeanPool.NFWeakPartition.Certificates.NAR4C078C001Block036

Nominal proof certificates grouped in dependency order.

Certificates from NAR4C078C001Part110.

source
noncomputable def NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb078SplitAlpha0085 (x y g : SemanticCore.Var) :
Nominal.TAlphaWff [(nb078AlphaDummy645, nb078AlphaDummy646 g), (nb078AlphaDummy614, nb078AlphaDummy616 g), (nb078AlphaDummy613, nb078AlphaDummy615 g), (nb078AlphaDummy643, nb078AlphaDummy644 g), (nb078AlphaDummy617, nb078AlphaDummy618 g), (nb078AlphaDummy571, nb078AlphaDummy574 g), (nb078AlphaDummy570, nb078AlphaDummy573 g), (nb078AlphaDummy569, nb078AlphaDummy572 g), (nb078AlphaDummy575, nb078AlphaDummy576 g), (nb078AlphaDummy001, g), (nb078AlphaDummy004, y), (nb078AlphaDummy003, x)] (Compiler.CompactSourceSyntax.synWa (SemanticCore.Wff.classMem (SemanticCore.Class.cv nb078AlphaDummy645) (Compiler.CompactSourceSyntax.synCcompl (Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv nb078AlphaDummy614)))) (SemanticCore.Wff.classMem (SemanticCore.Class.cv nb078AlphaDummy645) (Compiler.CompactSourceSyntax.synCcompl (Compiler.CompactSourceSyntax.synCsn Compiler.CompactSourceSyntax.synC0c)))).neg (Compiler.CompactSourceSyntax.synWa (SemanticCore.Wff.classMem (SemanticCore.Class.cv (nb078AlphaDummy646 g)) (Compiler.CompactSourceSyntax.synCcompl (Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv (nb078AlphaDummy616 g))))) (SemanticCore.Wff.classMem (SemanticCore.Class.cv (nb078AlphaDummy646 g)) (Compiler.CompactSourceSyntax.synCcompl (Compiler.CompactSourceSyntax.synCsn Compiler.CompactSourceSyntax.synC0c)))).neg

Checked nominal proof certificate identified upstream as nb078_split_alpha_0085.

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    Certificates from NAR4C078C001Part111.

    source
    noncomputable def NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb078SplitAlpha0086 (x y g : SemanticCore.Var) :
    Nominal.TAlphaWff [(nb078AlphaDummy661, nb078AlphaDummy662 g), (nb078AlphaDummy659, nb078AlphaDummy660 g), (nb078AlphaDummy650, nb078AlphaDummy652 g), (nb078AlphaDummy649, nb078AlphaDummy651 g), (nb078AlphaDummy653, nb078AlphaDummy654 g), (nb078AlphaDummy571, nb078AlphaDummy574 g), (nb078AlphaDummy570, nb078AlphaDummy573 g), (nb078AlphaDummy569, nb078AlphaDummy572 g), (nb078AlphaDummy575, nb078AlphaDummy576 g), (nb078AlphaDummy001, g), (nb078AlphaDummy004, y), (nb078AlphaDummy003, x)] ((SemanticCore.Wff.classMem (SemanticCore.Class.cv nb078AlphaDummy661) (SemanticCore.Class.cab nb078AlphaDummy655 (Compiler.CompactSourceSyntax.synWrex nb078AlphaDummy656 (SemanticCore.Class.cv nb078AlphaDummy649) (SemanticCore.Wff.classEq (SemanticCore.Class.cv nb078AlphaDummy655) (Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv nb078AlphaDummy656)))))).imp (SemanticCore.Wff.classMem (SemanticCore.Class.cv nb078AlphaDummy661) (SemanticCore.Class.cab nb078AlphaDummy655 (Compiler.CompactSourceSyntax.synWrex nb078AlphaDummy656 (SemanticCore.Class.cv nb078AlphaDummy649) (SemanticCore.Wff.classEq (SemanticCore.Class.cv nb078AlphaDummy655) (Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv nb078AlphaDummy656)))))).neg) ((SemanticCore.Wff.classMem (SemanticCore.Class.cv (nb078AlphaDummy662 g)) (SemanticCore.Class.cab (nb078AlphaDummy657 g) (Compiler.CompactSourceSyntax.synWrex (nb078AlphaDummy658 g) (SemanticCore.Class.cv (nb078AlphaDummy651 g)) (SemanticCore.Wff.classEq (SemanticCore.Class.cv (nb078AlphaDummy657 g)) (Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv (nb078AlphaDummy658 g))))))).imp (SemanticCore.Wff.classMem (SemanticCore.Class.cv (nb078AlphaDummy662 g)) (SemanticCore.Class.cab (nb078AlphaDummy657 g) (Compiler.CompactSourceSyntax.synWrex (nb078AlphaDummy658 g) (SemanticCore.Class.cv (nb078AlphaDummy651 g)) (SemanticCore.Wff.classEq (SemanticCore.Class.cv (nb078AlphaDummy657 g)) (Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv (nb078AlphaDummy658 g))))))).neg)

    Checked nominal proof certificate identified upstream as nb078_split_alpha_0086.

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      Certificates from NAR4C078C001Part112.

      source
      noncomputable def NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb078SplitAlpha0087 (x y g : SemanticCore.Var) :
      Nominal.TAlphaWff [(nb078AlphaDummy689, nb078AlphaDummy690 g), (nb078AlphaDummy687, nb078AlphaDummy688 g), (nb078AlphaDummy656, nb078AlphaDummy658 g), (nb078AlphaDummy655, nb078AlphaDummy657 g), (nb078AlphaDummy685, nb078AlphaDummy686 g), (nb078AlphaDummy659, nb078AlphaDummy660 g), (nb078AlphaDummy650, nb078AlphaDummy652 g), (nb078AlphaDummy649, nb078AlphaDummy651 g), (nb078AlphaDummy653, nb078AlphaDummy654 g), (nb078AlphaDummy571, nb078AlphaDummy574 g), (nb078AlphaDummy570, nb078AlphaDummy573 g), (nb078AlphaDummy569, nb078AlphaDummy572 g), (nb078AlphaDummy575, nb078AlphaDummy576 g), (nb078AlphaDummy001, g), (nb078AlphaDummy004, y), (nb078AlphaDummy003, x)] ((SemanticCore.Wff.classMem (SemanticCore.Class.cv nb078AlphaDummy689) (Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv nb078AlphaDummy656))).imp (SemanticCore.Wff.classMem (SemanticCore.Class.cv nb078AlphaDummy689) (Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv nb078AlphaDummy656))).neg) ((SemanticCore.Wff.classMem (SemanticCore.Class.cv (nb078AlphaDummy690 g)) (Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv (nb078AlphaDummy658 g)))).imp (SemanticCore.Wff.classMem (SemanticCore.Class.cv (nb078AlphaDummy690 g)) (Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv (nb078AlphaDummy658 g)))).neg)

      Checked nominal proof certificate identified upstream as nb078_split_alpha_0087.

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