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LeanPool.NFWeakPartition.Certificates.NAR4C078C001Block015

Nominal proof certificates grouped in dependency order.

Certificates from NAR4C078C001Part048.

source
noncomputable def NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb078SplitAlpha0017 (x y f : SemanticCore.Var) :
Nominal.TAlphaWff [(nb078AlphaDummy137, nb078AlphaDummy138 f), (nb078AlphaDummy135, nb078AlphaDummy136 f), (nb078AlphaDummy090, nb078AlphaDummy092 f), (nb078AlphaDummy089, nb078AlphaDummy091 f), (nb078AlphaDummy093, nb078AlphaDummy094 f), (nb078AlphaDummy011, nb078AlphaDummy014 f), (nb078AlphaDummy010, nb078AlphaDummy013 f), (nb078AlphaDummy009, nb078AlphaDummy012 f), (nb078AlphaDummy015, nb078AlphaDummy016 f), (nb078AlphaDummy000, f), (nb078AlphaDummy004, y), (nb078AlphaDummy003, x)] ((SemanticCore.Wff.classMem (SemanticCore.Class.cv nb078AlphaDummy137) (SemanticCore.Class.cab nb078AlphaDummy131 (Compiler.CompactSourceSyntax.synWrex nb078AlphaDummy132 (SemanticCore.Class.cv nb078AlphaDummy090) (SemanticCore.Wff.classEq (SemanticCore.Class.cv nb078AlphaDummy131) (Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv nb078AlphaDummy132)))))).imp (SemanticCore.Wff.classMem (SemanticCore.Class.cv nb078AlphaDummy137) (SemanticCore.Class.cab nb078AlphaDummy131 (Compiler.CompactSourceSyntax.synWrex nb078AlphaDummy132 (SemanticCore.Class.cv nb078AlphaDummy090) (SemanticCore.Wff.classEq (SemanticCore.Class.cv nb078AlphaDummy131) (Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv nb078AlphaDummy132)))))).neg) ((SemanticCore.Wff.classMem (SemanticCore.Class.cv (nb078AlphaDummy138 f)) (SemanticCore.Class.cab (nb078AlphaDummy133 f) (Compiler.CompactSourceSyntax.synWrex (nb078AlphaDummy134 f) (SemanticCore.Class.cv (nb078AlphaDummy092 f)) (SemanticCore.Wff.classEq (SemanticCore.Class.cv (nb078AlphaDummy133 f)) (Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv (nb078AlphaDummy134 f))))))).imp (SemanticCore.Wff.classMem (SemanticCore.Class.cv (nb078AlphaDummy138 f)) (SemanticCore.Class.cab (nb078AlphaDummy133 f) (Compiler.CompactSourceSyntax.synWrex (nb078AlphaDummy134 f) (SemanticCore.Class.cv (nb078AlphaDummy092 f)) (SemanticCore.Wff.classEq (SemanticCore.Class.cv (nb078AlphaDummy133 f)) (Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv (nb078AlphaDummy134 f))))))).neg)

Checked nominal proof certificate identified upstream as nb078_split_alpha_0017.

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    Certificates from NAR4C078C001Part049.

    source
    noncomputable def NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb078SplitAlpha0018 (x y f : SemanticCore.Var) :
    Nominal.TAlphaWff [(nb078AlphaDummy165, nb078AlphaDummy166 f), (nb078AlphaDummy163, nb078AlphaDummy164 f), (nb078AlphaDummy132, nb078AlphaDummy134 f), (nb078AlphaDummy131, nb078AlphaDummy133 f), (nb078AlphaDummy161, nb078AlphaDummy162 f), (nb078AlphaDummy135, nb078AlphaDummy136 f), (nb078AlphaDummy090, nb078AlphaDummy092 f), (nb078AlphaDummy089, nb078AlphaDummy091 f), (nb078AlphaDummy093, nb078AlphaDummy094 f), (nb078AlphaDummy011, nb078AlphaDummy014 f), (nb078AlphaDummy010, nb078AlphaDummy013 f), (nb078AlphaDummy009, nb078AlphaDummy012 f), (nb078AlphaDummy015, nb078AlphaDummy016 f), (nb078AlphaDummy000, f), (nb078AlphaDummy004, y), (nb078AlphaDummy003, x)] ((SemanticCore.Wff.classMem (SemanticCore.Class.cv nb078AlphaDummy165) (Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv nb078AlphaDummy132))).imp (SemanticCore.Wff.classMem (SemanticCore.Class.cv nb078AlphaDummy165) (Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv nb078AlphaDummy132))).neg) ((SemanticCore.Wff.classMem (SemanticCore.Class.cv (nb078AlphaDummy166 f)) (Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv (nb078AlphaDummy134 f)))).imp (SemanticCore.Wff.classMem (SemanticCore.Class.cv (nb078AlphaDummy166 f)) (Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv (nb078AlphaDummy134 f)))).neg)

    Checked nominal proof certificate identified upstream as nb078_split_alpha_0018.

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      Certificates from NAR4C078C001Part050.

      source
      noncomputable def NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb078SplitAlpha0019 (x y f : SemanticCore.Var) :
      Nominal.TAlphaWff [(nb078AlphaDummy173, nb078AlphaDummy174 f), (nb078AlphaDummy171, nb078AlphaDummy172 f), (nb078AlphaDummy011, nb078AlphaDummy014 f), (nb078AlphaDummy010, nb078AlphaDummy013 f), (nb078AlphaDummy009, nb078AlphaDummy012 f), (nb078AlphaDummy015, nb078AlphaDummy016 f), (nb078AlphaDummy000, f), (nb078AlphaDummy004, y), (nb078AlphaDummy003, x)] ((SemanticCore.Wff.classMem (SemanticCore.Class.cv nb078AlphaDummy173) (SemanticCore.Class.cab nb078AlphaDummy167 (Compiler.CompactSourceSyntax.synWrex nb078AlphaDummy168 (SemanticCore.Class.cv nb078AlphaDummy011) (SemanticCore.Wff.classEq (SemanticCore.Class.cv nb078AlphaDummy167) (Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv nb078AlphaDummy168)))))).imp (SemanticCore.Wff.classMem (SemanticCore.Class.cv nb078AlphaDummy173) (SemanticCore.Class.cab nb078AlphaDummy167 (Compiler.CompactSourceSyntax.synWrex nb078AlphaDummy168 (SemanticCore.Class.cv nb078AlphaDummy011) (SemanticCore.Wff.classEq (SemanticCore.Class.cv nb078AlphaDummy167) (Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv nb078AlphaDummy168)))))).neg) ((SemanticCore.Wff.classMem (SemanticCore.Class.cv (nb078AlphaDummy174 f)) (SemanticCore.Class.cab (nb078AlphaDummy169 f) (Compiler.CompactSourceSyntax.synWrex (nb078AlphaDummy170 f) (SemanticCore.Class.cv (nb078AlphaDummy014 f)) (SemanticCore.Wff.classEq (SemanticCore.Class.cv (nb078AlphaDummy169 f)) (Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv (nb078AlphaDummy170 f))))))).imp (SemanticCore.Wff.classMem (SemanticCore.Class.cv (nb078AlphaDummy174 f)) (SemanticCore.Class.cab (nb078AlphaDummy169 f) (Compiler.CompactSourceSyntax.synWrex (nb078AlphaDummy170 f) (SemanticCore.Class.cv (nb078AlphaDummy014 f)) (SemanticCore.Wff.classEq (SemanticCore.Class.cv (nb078AlphaDummy169 f)) (Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv (nb078AlphaDummy170 f))))))).neg)

      Checked nominal proof certificate identified upstream as nb078_split_alpha_0019.

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