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LeanPool.NFWeakPartition.Certificates.NAR4C078C001Block025

Nominal proof certificates grouped in dependency order.

Certificates from NAR4C078C001Part082.

source
noncomputable def NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb078SplitAlpha0053 (x y g : SemanticCore.Var) :
Nominal.TAlphaWff [(nb078AlphaDummy379, nb078AlphaDummy380 g), (nb078AlphaDummy377, nb078AlphaDummy378 g), (nb078AlphaDummy368, nb078AlphaDummy370 g), (nb078AlphaDummy367, nb078AlphaDummy369 g), (nb078AlphaDummy371, nb078AlphaDummy372 g), (nb078AlphaDummy482, nb078AlphaDummy484 g), (nb078AlphaDummy481, nb078AlphaDummy483 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_0053.

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    Certificates from NAR4C078C001Part083.

    source
    noncomputable def NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb078SplitAlpha0054 (x y g : SemanticCore.Var) :
    Nominal.TAlphaWff [(nb078AlphaDummy405, nb078AlphaDummy406 g), (nb078AlphaDummy374, nb078AlphaDummy376 g), (nb078AlphaDummy373, nb078AlphaDummy375 g), (nb078AlphaDummy403, nb078AlphaDummy404 g), (nb078AlphaDummy377, nb078AlphaDummy378 g), (nb078AlphaDummy368, nb078AlphaDummy370 g), (nb078AlphaDummy367, nb078AlphaDummy369 g), (nb078AlphaDummy371, nb078AlphaDummy372 g), (nb078AlphaDummy482, nb078AlphaDummy484 g), (nb078AlphaDummy481, nb078AlphaDummy483 g), (nb078AlphaDummy001, g), (nb078AlphaDummy004, y), (nb078AlphaDummy003, x)] ((SemanticCore.Wff.classMem (SemanticCore.Class.cv nb078AlphaDummy405) (Compiler.CompactSourceSyntax.synCcompl (Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv nb078AlphaDummy374)))).imp (SemanticCore.Wff.classMem (SemanticCore.Class.cv nb078AlphaDummy405) (Compiler.CompactSourceSyntax.synCcompl (Compiler.CompactSourceSyntax.synCsn Compiler.CompactSourceSyntax.synC0c))).neg) ((SemanticCore.Wff.classMem (SemanticCore.Class.cv (nb078AlphaDummy406 g)) (Compiler.CompactSourceSyntax.synCcompl (Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv (nb078AlphaDummy376 g))))).imp (SemanticCore.Wff.classMem (SemanticCore.Class.cv (nb078AlphaDummy406 g)) (Compiler.CompactSourceSyntax.synCcompl (Compiler.CompactSourceSyntax.synCsn Compiler.CompactSourceSyntax.synC0c))).neg)

    Checked nominal proof certificate identified upstream as nb078_split_alpha_0054.

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      Certificates from NAR4C078C001Part084.

      source
      noncomputable def NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb078SplitAlpha0055 (x y g : SemanticCore.Var) :
      Nominal.TAlphaWff [(nb078AlphaDummy415, nb078AlphaDummy416 g), (nb078AlphaDummy413, nb078AlphaDummy414 g), (nb078AlphaDummy368, nb078AlphaDummy370 g), (nb078AlphaDummy367, nb078AlphaDummy369 g), (nb078AlphaDummy371, nb078AlphaDummy372 g), (nb078AlphaDummy482, nb078AlphaDummy484 g), (nb078AlphaDummy481, nb078AlphaDummy483 g), (nb078AlphaDummy001, g), (nb078AlphaDummy004, y), (nb078AlphaDummy003, x)] ((SemanticCore.Wff.classMem (SemanticCore.Class.cv nb078AlphaDummy415) (SemanticCore.Class.cab nb078AlphaDummy409 (Compiler.CompactSourceSyntax.synWrex nb078AlphaDummy410 (SemanticCore.Class.cv nb078AlphaDummy368) (SemanticCore.Wff.classEq (SemanticCore.Class.cv nb078AlphaDummy409) (Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv nb078AlphaDummy410)))))).imp (SemanticCore.Wff.classMem (SemanticCore.Class.cv nb078AlphaDummy415) (SemanticCore.Class.cab nb078AlphaDummy409 (Compiler.CompactSourceSyntax.synWrex nb078AlphaDummy410 (SemanticCore.Class.cv nb078AlphaDummy368) (SemanticCore.Wff.classEq (SemanticCore.Class.cv nb078AlphaDummy409) (Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv nb078AlphaDummy410)))))).neg) ((SemanticCore.Wff.classMem (SemanticCore.Class.cv (nb078AlphaDummy416 g)) (SemanticCore.Class.cab (nb078AlphaDummy411 g) (Compiler.CompactSourceSyntax.synWrex (nb078AlphaDummy412 g) (SemanticCore.Class.cv (nb078AlphaDummy370 g)) (SemanticCore.Wff.classEq (SemanticCore.Class.cv (nb078AlphaDummy411 g)) (Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv (nb078AlphaDummy412 g))))))).imp (SemanticCore.Wff.classMem (SemanticCore.Class.cv (nb078AlphaDummy416 g)) (SemanticCore.Class.cab (nb078AlphaDummy411 g) (Compiler.CompactSourceSyntax.synWrex (nb078AlphaDummy412 g) (SemanticCore.Class.cv (nb078AlphaDummy370 g)) (SemanticCore.Wff.classEq (SemanticCore.Class.cv (nb078AlphaDummy411 g)) (Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv (nb078AlphaDummy412 g))))))).neg)

      Checked nominal proof certificate identified upstream as nb078_split_alpha_0055.

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