Documentation

LeanPool.NFWeakPartition.Certificates.NAR4C078C001Block038

Nominal proof certificates grouped in dependency order.

Certificates from NAR4C078C001Part116.

source
noncomputable def NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb078SplitAlpha0091 (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), (nb078AlphaDummy650, nb078AlphaDummy652 g), (nb078AlphaDummy649, nb078AlphaDummy651 g), (nb078AlphaDummy653, nb078AlphaDummy654 g), (nb078AlphaDummy571, nb078AlphaDummy574 g), (nb078AlphaDummy570, nb078AlphaDummy573 g), (nb078AlphaDummy569, nb078AlphaDummy572 g), (nb078AlphaDummy575, nb078AlphaDummy576 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_0091.

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    Certificates from NAR4C078C001Part117.

    source
    noncomputable def NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb078SplitAlpha0092 (x y g : SemanticCore.Var) :
    Nominal.TAlphaWff [(nb078AlphaDummy415, nb078AlphaDummy416 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), (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_0092.

    Equations
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    Instances For