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LeanPool.NFWeakPartition.Certificates.NAR4C078C001Block023

Nominal proof certificates grouped in dependency order.

Certificates from NAR4C078C001Part076.

source
noncomputable def NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb078SplitAlpha0047 (x y g : SemanticCore.Var) :
Nominal.TAlphaWff [(nb078AlphaDummy415, nb078AlphaDummy416 g), (nb078AlphaDummy413, nb078AlphaDummy414 g), (nb078AlphaDummy368, nb078AlphaDummy370 g), (nb078AlphaDummy367, nb078AlphaDummy369 g), (nb078AlphaDummy371, nb078AlphaDummy372 g), (nb078AlphaDummy289, nb078AlphaDummy292 g), (nb078AlphaDummy288, nb078AlphaDummy291 g), (nb078AlphaDummy287, nb078AlphaDummy290 g), (nb078AlphaDummy293, nb078AlphaDummy294 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_0047.

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    Certificates from NAR4C078C001Part077.

    source
    noncomputable def NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb078SplitAlpha0048 (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), (nb078AlphaDummy289, nb078AlphaDummy292 g), (nb078AlphaDummy288, nb078AlphaDummy291 g), (nb078AlphaDummy287, nb078AlphaDummy290 g), (nb078AlphaDummy293, nb078AlphaDummy294 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_0048.

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      Certificates from NAR4C078C001Part078.

      source
      noncomputable def NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb078SplitAlpha0049 (x y g : SemanticCore.Var) :
      Nominal.TAlphaWff [(nb078AlphaDummy451, nb078AlphaDummy452 g), (nb078AlphaDummy449, nb078AlphaDummy450 g), (nb078AlphaDummy289, nb078AlphaDummy292 g), (nb078AlphaDummy288, nb078AlphaDummy291 g), (nb078AlphaDummy287, nb078AlphaDummy290 g), (nb078AlphaDummy293, nb078AlphaDummy294 g), (nb078AlphaDummy001, g), (nb078AlphaDummy004, y), (nb078AlphaDummy003, x)] ((SemanticCore.Wff.classMem (SemanticCore.Class.cv nb078AlphaDummy451) (SemanticCore.Class.cab nb078AlphaDummy445 (Compiler.CompactSourceSyntax.synWrex nb078AlphaDummy446 (SemanticCore.Class.cv nb078AlphaDummy289) (SemanticCore.Wff.classEq (SemanticCore.Class.cv nb078AlphaDummy445) (Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv nb078AlphaDummy446)))))).imp (SemanticCore.Wff.classMem (SemanticCore.Class.cv nb078AlphaDummy451) (SemanticCore.Class.cab nb078AlphaDummy445 (Compiler.CompactSourceSyntax.synWrex nb078AlphaDummy446 (SemanticCore.Class.cv nb078AlphaDummy289) (SemanticCore.Wff.classEq (SemanticCore.Class.cv nb078AlphaDummy445) (Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv nb078AlphaDummy446)))))).neg) ((SemanticCore.Wff.classMem (SemanticCore.Class.cv (nb078AlphaDummy452 g)) (SemanticCore.Class.cab (nb078AlphaDummy447 g) (Compiler.CompactSourceSyntax.synWrex (nb078AlphaDummy448 g) (SemanticCore.Class.cv (nb078AlphaDummy292 g)) (SemanticCore.Wff.classEq (SemanticCore.Class.cv (nb078AlphaDummy447 g)) (Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv (nb078AlphaDummy448 g))))))).imp (SemanticCore.Wff.classMem (SemanticCore.Class.cv (nb078AlphaDummy452 g)) (SemanticCore.Class.cab (nb078AlphaDummy447 g) (Compiler.CompactSourceSyntax.synWrex (nb078AlphaDummy448 g) (SemanticCore.Class.cv (nb078AlphaDummy292 g)) (SemanticCore.Wff.classEq (SemanticCore.Class.cv (nb078AlphaDummy447 g)) (Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv (nb078AlphaDummy448 g))))))).neg)

      Checked nominal proof certificate identified upstream as nb078_split_alpha_0049.

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