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LeanPool.NFWeakPartition.Certificates.NAR4C078C001Block041

Nominal proof certificates grouped in dependency order.

Certificates from NAR4C078C001Part123.

source
noncomputable def NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb078SplitAlpha0099 (x y g : SemanticCore.Var) :
Nominal.TAlphaWff [(nb078AlphaDummy415, nb078AlphaDummy416 g), (nb078AlphaDummy413, nb078AlphaDummy414 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 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_0099.

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    Certificates from NAR4C078C001Part124.

    source
    noncomputable def NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb078SplitAlpha0100 (x y g : SemanticCore.Var) :
    Nominal.TAlphaWff [(nb078AlphaDummy443, nb078AlphaDummy444 g), (nb078AlphaDummy441, nb078AlphaDummy442 g), (nb078AlphaDummy410, nb078AlphaDummy412 g), (nb078AlphaDummy409, nb078AlphaDummy411 g), (nb078AlphaDummy439, nb078AlphaDummy440 g), (nb078AlphaDummy413, nb078AlphaDummy414 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 nb078AlphaDummy443) (Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv nb078AlphaDummy410))).imp (SemanticCore.Wff.classMem (SemanticCore.Class.cv nb078AlphaDummy443) (Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv nb078AlphaDummy410))).neg) ((SemanticCore.Wff.classMem (SemanticCore.Class.cv (nb078AlphaDummy444 g)) (Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv (nb078AlphaDummy412 g)))).imp (SemanticCore.Wff.classMem (SemanticCore.Class.cv (nb078AlphaDummy444 g)) (Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv (nb078AlphaDummy412 g)))).neg)

    Checked nominal proof certificate identified upstream as nb078_split_alpha_0100.

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      source
      noncomputable def NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb078SplitAlpha0101 (x y g : SemanticCore.Var) (dv_g_x : g ≠ x) (dv_g_y : g ≠ y) (dv_x_y : x ≠ y) :
      Nominal.TAlphaWff [(nb078AlphaDummy001, g), (nb078AlphaDummy004, y), (nb078AlphaDummy003, x)] ((Compiler.CompactSourceSyntax.synWf (SemanticCore.Class.cv nb078AlphaDummy001) (SemanticCore.Class.cv nb078AlphaDummy004) (SemanticCore.Class.cv nb078AlphaDummy003)).imp (Compiler.CompactSourceSyntax.synWfun (Compiler.CompactSourceSyntax.synCcnv (SemanticCore.Class.cv nb078AlphaDummy001))).neg) ((Compiler.CompactSourceSyntax.synWf (SemanticCore.Class.cv g) (SemanticCore.Class.cv y) (SemanticCore.Class.cv x)).imp (Compiler.CompactSourceSyntax.synWfun (Compiler.CompactSourceSyntax.synCcnv (SemanticCore.Class.cv g))).neg)

      Checked nominal proof certificate identified upstream as nb078_split_alpha_0101.

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