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LeanPool.NFWeakPartition.Certificates.NAR4C078C001Block022

Nominal proof certificates grouped in dependency order.

Certificates from NAR4C078C001Part073.

source
noncomputable def NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb078SplitAlpha0044 (x y g : SemanticCore.Var) :
Nominal.TAlphaWff [(nb078AlphaDummy363, nb078AlphaDummy364 g), (nb078AlphaDummy332, nb078AlphaDummy334 g), (nb078AlphaDummy331, nb078AlphaDummy333 g), (nb078AlphaDummy361, nb078AlphaDummy362 g), (nb078AlphaDummy335, nb078AlphaDummy336 g), (nb078AlphaDummy289, nb078AlphaDummy292 g), (nb078AlphaDummy288, nb078AlphaDummy291 g), (nb078AlphaDummy287, nb078AlphaDummy290 g), (nb078AlphaDummy293, nb078AlphaDummy294 g), (nb078AlphaDummy001, g), (nb078AlphaDummy004, y), (nb078AlphaDummy003, x)] (Compiler.CompactSourceSyntax.synWa (SemanticCore.Wff.classMem (SemanticCore.Class.cv nb078AlphaDummy363) (Compiler.CompactSourceSyntax.synCcompl (Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv nb078AlphaDummy332)))) (SemanticCore.Wff.classMem (SemanticCore.Class.cv nb078AlphaDummy363) (Compiler.CompactSourceSyntax.synCcompl (Compiler.CompactSourceSyntax.synCsn Compiler.CompactSourceSyntax.synC0c)))).neg (Compiler.CompactSourceSyntax.synWa (SemanticCore.Wff.classMem (SemanticCore.Class.cv (nb078AlphaDummy364 g)) (Compiler.CompactSourceSyntax.synCcompl (Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv (nb078AlphaDummy334 g))))) (SemanticCore.Wff.classMem (SemanticCore.Class.cv (nb078AlphaDummy364 g)) (Compiler.CompactSourceSyntax.synCcompl (Compiler.CompactSourceSyntax.synCsn Compiler.CompactSourceSyntax.synC0c)))).neg

Checked nominal proof certificate identified upstream as nb078_split_alpha_0044.

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    Certificates from NAR4C078C001Part074.

    source
    noncomputable def NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb078SplitAlpha0045 (x y g : SemanticCore.Var) :
    Nominal.TAlphaWff [(nb078AlphaDummy379, nb078AlphaDummy380 g), (nb078AlphaDummy377, nb078AlphaDummy378 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 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_0045.

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      Certificates from NAR4C078C001Part075.

      source
      noncomputable def NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb078SplitAlpha0046 (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), (nb078AlphaDummy289, nb078AlphaDummy292 g), (nb078AlphaDummy288, nb078AlphaDummy291 g), (nb078AlphaDummy287, nb078AlphaDummy290 g), (nb078AlphaDummy293, nb078AlphaDummy294 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_0046.

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