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LeanPool.NFWeakPartition.Certificates.NAR4C078C001Block012

Nominal proof certificates grouped in dependency order.

Certificates from NAR4C078C001Part038.

source
noncomputable def NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb078SplitAlpha0006 (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), (nb078AlphaDummy007, nb078AlphaDummy008 f), (nb078AlphaDummy005, nb078AlphaDummy006 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_0006.

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    Certificates from NAR4C078C001Part039.

    source
    noncomputable def NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb078SplitAlpha0007 (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), (nb078AlphaDummy007, nb078AlphaDummy008 f), (nb078AlphaDummy005, nb078AlphaDummy006 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_0007.

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      Certificates from NAR4C078C001Part040.

      source
      noncomputable def NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb078SplitAlpha0008 (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), (nb078AlphaDummy007, nb078AlphaDummy008 f), (nb078AlphaDummy005, nb078AlphaDummy006 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_0008.

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