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LeanPool.NFWeakPartition.Certificates.NAR4C078C001Block026

Nominal proof certificates grouped in dependency order.

Certificates from NAR4C078C001Part085.

source
noncomputable def NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb078SplitAlpha0056 (x y g : SemanticCore.Var) :
Nominal.TAlphaWff [(nb078AlphaDummy441, nb078AlphaDummy442 g), (nb078AlphaDummy410, nb078AlphaDummy412 g), (nb078AlphaDummy409, nb078AlphaDummy411 g), (nb078AlphaDummy439, nb078AlphaDummy440 g), (nb078AlphaDummy413, nb078AlphaDummy414 g), (nb078AlphaDummy368, nb078AlphaDummy370 g), (nb078AlphaDummy367, nb078AlphaDummy369 g), (nb078AlphaDummy371, nb078AlphaDummy372 g), (nb078AlphaDummy482, nb078AlphaDummy484 g), (nb078AlphaDummy481, nb078AlphaDummy483 g), (nb078AlphaDummy001, g), (nb078AlphaDummy004, y), (nb078AlphaDummy003, x)] ((SemanticCore.Wff.classMem (SemanticCore.Class.cv nb078AlphaDummy441) (Compiler.CompactSourceSyntax.synCcompl (Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv nb078AlphaDummy410)))).imp (SemanticCore.Wff.classMem (SemanticCore.Class.cv nb078AlphaDummy441) (Compiler.CompactSourceSyntax.synCcompl (Compiler.CompactSourceSyntax.synCsn Compiler.CompactSourceSyntax.synC0c))).neg) ((SemanticCore.Wff.classMem (SemanticCore.Class.cv (nb078AlphaDummy442 g)) (Compiler.CompactSourceSyntax.synCcompl (Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv (nb078AlphaDummy412 g))))).imp (SemanticCore.Wff.classMem (SemanticCore.Class.cv (nb078AlphaDummy442 g)) (Compiler.CompactSourceSyntax.synCcompl (Compiler.CompactSourceSyntax.synCsn Compiler.CompactSourceSyntax.synC0c))).neg)

Checked nominal proof certificate identified upstream as nb078_split_alpha_0056.

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    noncomputable def NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb078SplitAlpha0057 (x y g : SemanticCore.Var) (dv_g_y : g ≠ y) :
    Nominal.TAlphaWff [(nb078AlphaDummy001, g), (nb078AlphaDummy004, y), (nb078AlphaDummy003, x)] ((Compiler.CompactSourceSyntax.synWfun (SemanticCore.Class.cv nb078AlphaDummy001)).imp (SemanticCore.Wff.classEq (Compiler.CompactSourceSyntax.synCdm (SemanticCore.Class.cv nb078AlphaDummy001)) (SemanticCore.Class.cv nb078AlphaDummy004)).neg) ((Compiler.CompactSourceSyntax.synWfun (SemanticCore.Class.cv g)).imp (SemanticCore.Wff.classEq (Compiler.CompactSourceSyntax.synCdm (SemanticCore.Class.cv g)) (SemanticCore.Class.cv y)).neg)

    Checked nominal proof certificate identified upstream as nb078_split_alpha_0057.

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      Certificates from NAR4C078C001Part086.

      source
      noncomputable def NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb078SplitAlpha0058 (x y g : SemanticCore.Var) :
      Nominal.TAlphaWff [(nb078AlphaDummy535, nb078AlphaDummy536 g), (nb078AlphaDummy533, nb078AlphaDummy534 g), (nb078AlphaDummy526, nb078AlphaDummy528 g), (nb078AlphaDummy525, nb078AlphaDummy527 g), (nb078AlphaDummy523, nb078AlphaDummy524 x g), (nb078AlphaDummy521, nb078AlphaDummy522 x g), (nb078AlphaDummy001, g), (nb078AlphaDummy004, y), (nb078AlphaDummy003, x)] ((SemanticCore.Wff.classMem (SemanticCore.Class.cv nb078AlphaDummy535) (SemanticCore.Class.cab nb078AlphaDummy529 (Compiler.CompactSourceSyntax.synWrex nb078AlphaDummy530 (SemanticCore.Class.cv nb078AlphaDummy526) (SemanticCore.Wff.classEq (SemanticCore.Class.cv nb078AlphaDummy529) (Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv nb078AlphaDummy530)))))).imp (SemanticCore.Wff.classMem (SemanticCore.Class.cv nb078AlphaDummy535) (SemanticCore.Class.cab nb078AlphaDummy529 (Compiler.CompactSourceSyntax.synWrex nb078AlphaDummy530 (SemanticCore.Class.cv nb078AlphaDummy526) (SemanticCore.Wff.classEq (SemanticCore.Class.cv nb078AlphaDummy529) (Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv nb078AlphaDummy530)))))).neg) ((SemanticCore.Wff.classMem (SemanticCore.Class.cv (nb078AlphaDummy536 g)) (SemanticCore.Class.cab (nb078AlphaDummy531 g) (Compiler.CompactSourceSyntax.synWrex (nb078AlphaDummy532 g) (SemanticCore.Class.cv (nb078AlphaDummy528 g)) (SemanticCore.Wff.classEq (SemanticCore.Class.cv (nb078AlphaDummy531 g)) (Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv (nb078AlphaDummy532 g))))))).imp (SemanticCore.Wff.classMem (SemanticCore.Class.cv (nb078AlphaDummy536 g)) (SemanticCore.Class.cab (nb078AlphaDummy531 g) (Compiler.CompactSourceSyntax.synWrex (nb078AlphaDummy532 g) (SemanticCore.Class.cv (nb078AlphaDummy528 g)) (SemanticCore.Wff.classEq (SemanticCore.Class.cv (nb078AlphaDummy531 g)) (Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv (nb078AlphaDummy532 g))))))).neg)

      Checked nominal proof certificate identified upstream as nb078_split_alpha_0058.

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