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LeanPool.NFWeakPartition.Certificates.NAR4C090C001Block034

Nominal proof certificates grouped in dependency order.

Certificates from NAR4C090C001Part098.

source
noncomputable def NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb090SplitAlpha0076 (v u : SemanticCore.Var) (A : SemanticCore.Class) (h : SemanticCore.Var) :
Nominal.TAlphaWff [(nb090AlphaDummy205 A, nb090AlphaDummy206 h), (nb090AlphaDummy203 A, nb090AlphaDummy204 h), (nb090AlphaDummy172 A, nb090AlphaDummy174 h), (nb090AlphaDummy171 A, nb090AlphaDummy173 h), (nb090AlphaDummy201 A, nb090AlphaDummy202 h), (nb090AlphaDummy175 A, nb090AlphaDummy176 h), (nb090AlphaDummy130 A, nb090AlphaDummy132 h), (nb090AlphaDummy129 A, nb090AlphaDummy131 h), (nb090AlphaDummy133 A, nb090AlphaDummy134 h), (nb090AlphaDummy425 A, nb090AlphaDummy428 h), (nb090AlphaDummy424 A, nb090AlphaDummy427 h), (nb090AlphaDummy423 A, nb090AlphaDummy426 h), (nb090AlphaDummy429 A, nb090AlphaDummy430 h), (nb090AlphaDummy000 A, h), (nb090AlphaDummy002 A, v), (nb090AlphaDummy001 A, u), (nb090AlphaDummy003 A, nb090AlphaDummy004 v u A h)] ((SemanticCore.Wff.classMem (SemanticCore.Class.cv (nb090AlphaDummy205 A)) (Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv (nb090AlphaDummy172 A)))).imp (SemanticCore.Wff.classMem (SemanticCore.Class.cv (nb090AlphaDummy205 A)) (Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv (nb090AlphaDummy172 A)))).neg) ((SemanticCore.Wff.classMem (SemanticCore.Class.cv (nb090AlphaDummy206 h)) (Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv (nb090AlphaDummy174 h)))).imp (SemanticCore.Wff.classMem (SemanticCore.Class.cv (nb090AlphaDummy206 h)) (Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv (nb090AlphaDummy174 h)))).neg)

Checked nominal proof certificate identified upstream as nb090_split_alpha_0076.

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Instances For

    Certificates from NAR4C090C001Part099.

    source
    noncomputable def NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb090SplitAlpha0077 (v u : SemanticCore.Var) (A : SemanticCore.Class) (h : SemanticCore.Var) (dv_h_u : h ≠ u) (dv_h_v : h ≠ v) (dv_u_v : u ≠ v) :
    Nominal.TAlphaWff [(nb090AlphaDummy000 A, h), (nb090AlphaDummy002 A, v), (nb090AlphaDummy001 A, u), (nb090AlphaDummy003 A, nb090AlphaDummy004 v u A h)] ((Compiler.CompactSourceSyntax.synWf (SemanticCore.Class.cv (nb090AlphaDummy000 A)) (Compiler.CompactSourceSyntax.synCfv Compiler.CompactSourceSyntax.synC2nd (SemanticCore.Class.cv (nb090AlphaDummy001 A))) (Compiler.CompactSourceSyntax.synCfv Compiler.CompactSourceSyntax.synC2nd (SemanticCore.Class.cv (nb090AlphaDummy002 A)))).imp (Compiler.CompactSourceSyntax.synWfun (Compiler.CompactSourceSyntax.synCcnv (SemanticCore.Class.cv (nb090AlphaDummy000 A)))).neg) ((Compiler.CompactSourceSyntax.synWf (SemanticCore.Class.cv h) (Compiler.CompactSourceSyntax.synCfv Compiler.CompactSourceSyntax.synC2nd (SemanticCore.Class.cv u)) (Compiler.CompactSourceSyntax.synCfv Compiler.CompactSourceSyntax.synC2nd (SemanticCore.Class.cv v))).imp (Compiler.CompactSourceSyntax.synWfun (Compiler.CompactSourceSyntax.synCcnv (SemanticCore.Class.cv h))).neg)

    Checked nominal proof certificate identified upstream as nb090_split_alpha_0077.

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    Instances For