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LeanPool.NFWeakPartition.Certificates.NAR4C078C001Block037

Nominal proof certificates grouped in dependency order.

Certificates from NAR4C078C001Part113.

source
noncomputable def NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb078SplitAlpha0088 (x y g : SemanticCore.Var) :
Nominal.TAlphaWff [(nb078AlphaDummy697, nb078AlphaDummy698 g), (nb078AlphaDummy695, nb078AlphaDummy696 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 nb078AlphaDummy697) (SemanticCore.Class.cab nb078AlphaDummy691 (Compiler.CompactSourceSyntax.synWrex nb078AlphaDummy692 (SemanticCore.Class.cv nb078AlphaDummy650) (SemanticCore.Wff.classEq (SemanticCore.Class.cv nb078AlphaDummy691) (Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv nb078AlphaDummy692)))))).imp (SemanticCore.Wff.classMem (SemanticCore.Class.cv nb078AlphaDummy697) (SemanticCore.Class.cab nb078AlphaDummy691 (Compiler.CompactSourceSyntax.synWrex nb078AlphaDummy692 (SemanticCore.Class.cv nb078AlphaDummy650) (SemanticCore.Wff.classEq (SemanticCore.Class.cv nb078AlphaDummy691) (Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv nb078AlphaDummy692)))))).neg) ((SemanticCore.Wff.classMem (SemanticCore.Class.cv (nb078AlphaDummy698 g)) (SemanticCore.Class.cab (nb078AlphaDummy693 g) (Compiler.CompactSourceSyntax.synWrex (nb078AlphaDummy694 g) (SemanticCore.Class.cv (nb078AlphaDummy652 g)) (SemanticCore.Wff.classEq (SemanticCore.Class.cv (nb078AlphaDummy693 g)) (Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv (nb078AlphaDummy694 g))))))).imp (SemanticCore.Wff.classMem (SemanticCore.Class.cv (nb078AlphaDummy698 g)) (SemanticCore.Class.cab (nb078AlphaDummy693 g) (Compiler.CompactSourceSyntax.synWrex (nb078AlphaDummy694 g) (SemanticCore.Class.cv (nb078AlphaDummy652 g)) (SemanticCore.Wff.classEq (SemanticCore.Class.cv (nb078AlphaDummy693 g)) (Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv (nb078AlphaDummy694 g))))))).neg)

Checked nominal proof certificate identified upstream as nb078_split_alpha_0088.

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    Certificates from NAR4C078C001Part114.

    source
    noncomputable def NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb078SplitAlpha0089 (x y g : SemanticCore.Var) :
    Nominal.TAlphaWff [(nb078AlphaDummy725, nb078AlphaDummy726 g), (nb078AlphaDummy723, nb078AlphaDummy724 g), (nb078AlphaDummy692, nb078AlphaDummy694 g), (nb078AlphaDummy691, nb078AlphaDummy693 g), (nb078AlphaDummy721, nb078AlphaDummy722 g), (nb078AlphaDummy695, nb078AlphaDummy696 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 nb078AlphaDummy725) (Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv nb078AlphaDummy692))).imp (SemanticCore.Wff.classMem (SemanticCore.Class.cv nb078AlphaDummy725) (Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv nb078AlphaDummy692))).neg) ((SemanticCore.Wff.classMem (SemanticCore.Class.cv (nb078AlphaDummy726 g)) (Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv (nb078AlphaDummy694 g)))).imp (SemanticCore.Wff.classMem (SemanticCore.Class.cv (nb078AlphaDummy726 g)) (Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv (nb078AlphaDummy694 g)))).neg)

    Checked nominal proof certificate identified upstream as nb078_split_alpha_0089.

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      Certificates from NAR4C078C001Part115.

      source
      noncomputable def NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb078SplitAlpha0090 (x y g : SemanticCore.Var) :
      Nominal.TAlphaWff [(nb078AlphaDummy379, nb078AlphaDummy380 g), (nb078AlphaDummy377, nb078AlphaDummy378 g), (nb078AlphaDummy368, nb078AlphaDummy370 g), (nb078AlphaDummy367, nb078AlphaDummy369 g), (nb078AlphaDummy371, nb078AlphaDummy372 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 nb078AlphaDummy379) (SemanticCore.Class.cab nb078AlphaDummy373 (Compiler.CompactSourceSyntax.synWrex nb078AlphaDummy374 (SemanticCore.Class.cv nb078AlphaDummy367) (SemanticCore.Wff.classEq (SemanticCore.Class.cv nb078AlphaDummy373) (Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv nb078AlphaDummy374)))))).imp (SemanticCore.Wff.classMem (SemanticCore.Class.cv nb078AlphaDummy379) (SemanticCore.Class.cab nb078AlphaDummy373 (Compiler.CompactSourceSyntax.synWrex nb078AlphaDummy374 (SemanticCore.Class.cv nb078AlphaDummy367) (SemanticCore.Wff.classEq (SemanticCore.Class.cv nb078AlphaDummy373) (Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv nb078AlphaDummy374)))))).neg) ((SemanticCore.Wff.classMem (SemanticCore.Class.cv (nb078AlphaDummy380 g)) (SemanticCore.Class.cab (nb078AlphaDummy375 g) (Compiler.CompactSourceSyntax.synWrex (nb078AlphaDummy376 g) (SemanticCore.Class.cv (nb078AlphaDummy369 g)) (SemanticCore.Wff.classEq (SemanticCore.Class.cv (nb078AlphaDummy375 g)) (Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv (nb078AlphaDummy376 g))))))).imp (SemanticCore.Wff.classMem (SemanticCore.Class.cv (nb078AlphaDummy380 g)) (SemanticCore.Class.cab (nb078AlphaDummy375 g) (Compiler.CompactSourceSyntax.synWrex (nb078AlphaDummy376 g) (SemanticCore.Class.cv (nb078AlphaDummy369 g)) (SemanticCore.Wff.classEq (SemanticCore.Class.cv (nb078AlphaDummy375 g)) (Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv (nb078AlphaDummy376 g))))))).neg)

      Checked nominal proof certificate identified upstream as nb078_split_alpha_0090.

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