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LeanPool.NFWeakPartition.Certificates.NAR4C078C001Block032

Nominal proof certificates grouped in dependency order.

Certificates from NAR4C078C001Part100.

source
noncomputable def NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb078SplitAlpha0073 (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), (nb078AlphaDummy650, nb078AlphaDummy652 g), (nb078AlphaDummy649, nb078AlphaDummy651 g), (nb078AlphaDummy653, nb078AlphaDummy654 g), (nb078AlphaDummy571, nb078AlphaDummy574 g), (nb078AlphaDummy570, nb078AlphaDummy573 g), (nb078AlphaDummy569, nb078AlphaDummy572 g), (nb078AlphaDummy575, nb078AlphaDummy576 g), (nb078AlphaDummy567, nb078AlphaDummy568 g), (nb078AlphaDummy565, nb078AlphaDummy566 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_0073.

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    source
    noncomputable def NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb078SplitAlpha0074 (x y g : SemanticCore.Var) :
    Nominal.TAlphaWff [(nb078AlphaDummy650, nb078AlphaDummy652 g), (nb078AlphaDummy649, nb078AlphaDummy651 g), (nb078AlphaDummy653, nb078AlphaDummy654 g), (nb078AlphaDummy571, nb078AlphaDummy574 g), (nb078AlphaDummy570, nb078AlphaDummy573 g), (nb078AlphaDummy569, nb078AlphaDummy572 g), (nb078AlphaDummy575, nb078AlphaDummy576 g), (nb078AlphaDummy567, nb078AlphaDummy568 g), (nb078AlphaDummy565, nb078AlphaDummy566 g), (nb078AlphaDummy001, g), (nb078AlphaDummy004, y), (nb078AlphaDummy003, x)] ((SemanticCore.Wff.classEq (SemanticCore.Class.cv nb078AlphaDummy653) (Compiler.CompactSourceSyntax.synCop (SemanticCore.Class.cv nb078AlphaDummy649) (SemanticCore.Class.cv nb078AlphaDummy650))).imp (Compiler.CompactSourceSyntax.synWbr (SemanticCore.Class.cv nb078AlphaDummy650) (Compiler.CompactSourceSyntax.synCcnv (SemanticCore.Class.cv nb078AlphaDummy001)) (SemanticCore.Class.cv nb078AlphaDummy649)).neg) ((SemanticCore.Wff.classEq (SemanticCore.Class.cv (nb078AlphaDummy654 g)) (Compiler.CompactSourceSyntax.synCop (SemanticCore.Class.cv (nb078AlphaDummy651 g)) (SemanticCore.Class.cv (nb078AlphaDummy652 g)))).imp (Compiler.CompactSourceSyntax.synWbr (SemanticCore.Class.cv (nb078AlphaDummy652 g)) (Compiler.CompactSourceSyntax.synCcnv (SemanticCore.Class.cv g)) (SemanticCore.Class.cv (nb078AlphaDummy651 g))).neg)

    Checked nominal proof certificate identified upstream as nb078_split_alpha_0074.

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      Certificates from NAR4C078C001Part101.

      source
      noncomputable def NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb078SplitAlpha0075 (x y g : SemanticCore.Var) :
      Nominal.TAlphaWff [(nb078AlphaDummy733, nb078AlphaDummy734 g), (nb078AlphaDummy731, nb078AlphaDummy732 g), (nb078AlphaDummy571, nb078AlphaDummy574 g), (nb078AlphaDummy570, nb078AlphaDummy573 g), (nb078AlphaDummy569, nb078AlphaDummy572 g), (nb078AlphaDummy575, nb078AlphaDummy576 g), (nb078AlphaDummy567, nb078AlphaDummy568 g), (nb078AlphaDummy565, nb078AlphaDummy566 g), (nb078AlphaDummy001, g), (nb078AlphaDummy004, y), (nb078AlphaDummy003, x)] ((SemanticCore.Wff.classMem (SemanticCore.Class.cv nb078AlphaDummy733) (SemanticCore.Class.cab nb078AlphaDummy727 (Compiler.CompactSourceSyntax.synWrex nb078AlphaDummy728 (SemanticCore.Class.cv nb078AlphaDummy571) (SemanticCore.Wff.classEq (SemanticCore.Class.cv nb078AlphaDummy727) (Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv nb078AlphaDummy728)))))).imp (SemanticCore.Wff.classMem (SemanticCore.Class.cv nb078AlphaDummy733) (SemanticCore.Class.cab nb078AlphaDummy727 (Compiler.CompactSourceSyntax.synWrex nb078AlphaDummy728 (SemanticCore.Class.cv nb078AlphaDummy571) (SemanticCore.Wff.classEq (SemanticCore.Class.cv nb078AlphaDummy727) (Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv nb078AlphaDummy728)))))).neg) ((SemanticCore.Wff.classMem (SemanticCore.Class.cv (nb078AlphaDummy734 g)) (SemanticCore.Class.cab (nb078AlphaDummy729 g) (Compiler.CompactSourceSyntax.synWrex (nb078AlphaDummy730 g) (SemanticCore.Class.cv (nb078AlphaDummy574 g)) (SemanticCore.Wff.classEq (SemanticCore.Class.cv (nb078AlphaDummy729 g)) (Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv (nb078AlphaDummy730 g))))))).imp (SemanticCore.Wff.classMem (SemanticCore.Class.cv (nb078AlphaDummy734 g)) (SemanticCore.Class.cab (nb078AlphaDummy729 g) (Compiler.CompactSourceSyntax.synWrex (nb078AlphaDummy730 g) (SemanticCore.Class.cv (nb078AlphaDummy574 g)) (SemanticCore.Wff.classEq (SemanticCore.Class.cv (nb078AlphaDummy729 g)) (Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv (nb078AlphaDummy730 g))))))).neg)

      Checked nominal proof certificate identified upstream as nb078_split_alpha_0075.

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