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LeanPool.NFWeakPartition.Certificates.NAR4C078C001Block024

Nominal proof certificates grouped in dependency order.

Certificates from NAR4C078C001Part079.

source
noncomputable def NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb078SplitAlpha0050 (x y g : SemanticCore.Var) :
Nominal.TAlphaWff [(nb078AlphaDummy477, nb078AlphaDummy478 g), (nb078AlphaDummy446, nb078AlphaDummy448 g), (nb078AlphaDummy445, nb078AlphaDummy447 g), (nb078AlphaDummy475, nb078AlphaDummy476 g), (nb078AlphaDummy449, nb078AlphaDummy450 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 nb078AlphaDummy477) (Compiler.CompactSourceSyntax.synCcompl (Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv nb078AlphaDummy446)))) (SemanticCore.Wff.classMem (SemanticCore.Class.cv nb078AlphaDummy477) (Compiler.CompactSourceSyntax.synCcompl (Compiler.CompactSourceSyntax.synCsn Compiler.CompactSourceSyntax.synC0c)))).neg (Compiler.CompactSourceSyntax.synWa (SemanticCore.Wff.classMem (SemanticCore.Class.cv (nb078AlphaDummy478 g)) (Compiler.CompactSourceSyntax.synCcompl (Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv (nb078AlphaDummy448 g))))) (SemanticCore.Wff.classMem (SemanticCore.Class.cv (nb078AlphaDummy478 g)) (Compiler.CompactSourceSyntax.synCcompl (Compiler.CompactSourceSyntax.synCsn Compiler.CompactSourceSyntax.synC0c)))).neg

Checked nominal proof certificate identified upstream as nb078_split_alpha_0050.

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    Certificates from NAR4C078C001Part080.

    source
    noncomputable def NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb078SplitAlpha0051 (x y g : SemanticCore.Var) :
    Nominal.TAlphaWff [(nb078AlphaDummy486, nb078AlphaDummy488 g), (nb078AlphaDummy485, nb078AlphaDummy487 g), (nb078AlphaDummy515, nb078AlphaDummy516 g), (nb078AlphaDummy489, nb078AlphaDummy490 g), (nb078AlphaDummy482, nb078AlphaDummy484 g), (nb078AlphaDummy481, nb078AlphaDummy483 g), (nb078AlphaDummy001, g), (nb078AlphaDummy004, y), (nb078AlphaDummy003, x)] ((SemanticCore.Wff.classMem (SemanticCore.Class.cv nb078AlphaDummy486) (SemanticCore.Class.cv nb078AlphaDummy481)).imp (SemanticCore.Wff.classEq (SemanticCore.Class.cv nb078AlphaDummy485) (Compiler.CompactSourceSyntax.synCun (Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv nb078AlphaDummy486)) (Compiler.CompactSourceSyntax.synCsn Compiler.CompactSourceSyntax.synC0c))).neg) ((SemanticCore.Wff.classMem (SemanticCore.Class.cv (nb078AlphaDummy488 g)) (SemanticCore.Class.cv (nb078AlphaDummy483 g))).imp (SemanticCore.Wff.classEq (SemanticCore.Class.cv (nb078AlphaDummy487 g)) (Compiler.CompactSourceSyntax.synCun (Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv (nb078AlphaDummy488 g))) (Compiler.CompactSourceSyntax.synCsn Compiler.CompactSourceSyntax.synC0c))).neg)

    Checked nominal proof certificate identified upstream as nb078_split_alpha_0051.

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      Certificates from NAR4C078C001Part081.

      source
      noncomputable def NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb078SplitAlpha0052 (x y g : SemanticCore.Var) :
      Nominal.TAlphaWff [(nb078AlphaDummy489, nb078AlphaDummy490 g), (nb078AlphaDummy482, nb078AlphaDummy484 g), (nb078AlphaDummy481, nb078AlphaDummy483 g), (nb078AlphaDummy001, g), (nb078AlphaDummy004, y), (nb078AlphaDummy003, x)] ((SemanticCore.Wff.classMem (SemanticCore.Class.cv nb078AlphaDummy489) (Compiler.CompactSourceSyntax.synCcompl (SemanticCore.Class.cab nb078AlphaDummy485 (Compiler.CompactSourceSyntax.synWrex nb078AlphaDummy486 (SemanticCore.Class.cv nb078AlphaDummy482) (SemanticCore.Wff.classEq (SemanticCore.Class.cv nb078AlphaDummy485) (Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv nb078AlphaDummy486))))))).imp (SemanticCore.Wff.classMem (SemanticCore.Class.cv nb078AlphaDummy489) (Compiler.CompactSourceSyntax.synCcompl (SemanticCore.Class.cab nb078AlphaDummy485 (Compiler.CompactSourceSyntax.synWrex nb078AlphaDummy486 (SemanticCore.Class.cv nb078AlphaDummy481) (SemanticCore.Wff.classEq (SemanticCore.Class.cv nb078AlphaDummy485) (Compiler.CompactSourceSyntax.synCun (Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv nb078AlphaDummy486)) (Compiler.CompactSourceSyntax.synCsn Compiler.CompactSourceSyntax.synC0c))))))).neg) ((SemanticCore.Wff.classMem (SemanticCore.Class.cv (nb078AlphaDummy490 g)) (Compiler.CompactSourceSyntax.synCcompl (SemanticCore.Class.cab (nb078AlphaDummy487 g) (Compiler.CompactSourceSyntax.synWrex (nb078AlphaDummy488 g) (SemanticCore.Class.cv (nb078AlphaDummy484 g)) (SemanticCore.Wff.classEq (SemanticCore.Class.cv (nb078AlphaDummy487 g)) (Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv (nb078AlphaDummy488 g)))))))).imp (SemanticCore.Wff.classMem (SemanticCore.Class.cv (nb078AlphaDummy490 g)) (Compiler.CompactSourceSyntax.synCcompl (SemanticCore.Class.cab (nb078AlphaDummy487 g) (Compiler.CompactSourceSyntax.synWrex (nb078AlphaDummy488 g) (SemanticCore.Class.cv (nb078AlphaDummy483 g)) (SemanticCore.Wff.classEq (SemanticCore.Class.cv (nb078AlphaDummy487 g)) (Compiler.CompactSourceSyntax.synCun (Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv (nb078AlphaDummy488 g))) (Compiler.CompactSourceSyntax.synCsn Compiler.CompactSourceSyntax.synC0c))))))).neg)

      Checked nominal proof certificate identified upstream as nb078_split_alpha_0052.

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