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LeanPool.NFWeakPartition.Certificates.NAR4C078C001Block040

Nominal proof certificates grouped in dependency order.

Certificates from NAR4C078C001Part120.

source
noncomputable def NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb078SplitAlpha0096 (x y g : SemanticCore.Var) :
Nominal.TAlphaWff [(nb078AlphaDummy759, nb078AlphaDummy760 g), (nb078AlphaDummy728, nb078AlphaDummy730 g), (nb078AlphaDummy727, nb078AlphaDummy729 g), (nb078AlphaDummy757, nb078AlphaDummy758 g), (nb078AlphaDummy731, nb078AlphaDummy732 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 nb078AlphaDummy759) (Compiler.CompactSourceSyntax.synCcompl (Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv nb078AlphaDummy728)))) (SemanticCore.Wff.classMem (SemanticCore.Class.cv nb078AlphaDummy759) (Compiler.CompactSourceSyntax.synCcompl (Compiler.CompactSourceSyntax.synCsn Compiler.CompactSourceSyntax.synC0c)))).neg (Compiler.CompactSourceSyntax.synWa (SemanticCore.Wff.classMem (SemanticCore.Class.cv (nb078AlphaDummy760 g)) (Compiler.CompactSourceSyntax.synCcompl (Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv (nb078AlphaDummy730 g))))) (SemanticCore.Wff.classMem (SemanticCore.Class.cv (nb078AlphaDummy760 g)) (Compiler.CompactSourceSyntax.synCcompl (Compiler.CompactSourceSyntax.synCsn Compiler.CompactSourceSyntax.synC0c)))).neg

Checked nominal proof certificate identified upstream as nb078_split_alpha_0096.

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    Certificates from NAR4C078C001Part121.

    source
    noncomputable def NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb078SplitAlpha0097 (x y g : SemanticCore.Var) :
    Nominal.TAlphaWff [(nb078AlphaDummy379, nb078AlphaDummy380 g), (nb078AlphaDummy377, nb078AlphaDummy378 g), (nb078AlphaDummy368, nb078AlphaDummy370 g), (nb078AlphaDummy367, nb078AlphaDummy369 g), (nb078AlphaDummy371, nb078AlphaDummy372 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_0097.

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      Certificates from NAR4C078C001Part122.

      source
      noncomputable def NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb078SplitAlpha0098 (x y g : SemanticCore.Var) :
      Nominal.TAlphaWff [(nb078AlphaDummy407, nb078AlphaDummy408 g), (nb078AlphaDummy405, nb078AlphaDummy406 g), (nb078AlphaDummy374, nb078AlphaDummy376 g), (nb078AlphaDummy373, nb078AlphaDummy375 g), (nb078AlphaDummy403, nb078AlphaDummy404 g), (nb078AlphaDummy377, nb078AlphaDummy378 g), (nb078AlphaDummy368, nb078AlphaDummy370 g), (nb078AlphaDummy367, nb078AlphaDummy369 g), (nb078AlphaDummy371, nb078AlphaDummy372 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 nb078AlphaDummy407) (Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv nb078AlphaDummy374))).imp (SemanticCore.Wff.classMem (SemanticCore.Class.cv nb078AlphaDummy407) (Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv nb078AlphaDummy374))).neg) ((SemanticCore.Wff.classMem (SemanticCore.Class.cv (nb078AlphaDummy408 g)) (Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv (nb078AlphaDummy376 g)))).imp (SemanticCore.Wff.classMem (SemanticCore.Class.cv (nb078AlphaDummy408 g)) (Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv (nb078AlphaDummy376 g)))).neg)

      Checked nominal proof certificate identified upstream as nb078_split_alpha_0098.

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