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LeanPool.NFWeakPartition.Certificates.NAR4C078C001Block016

Nominal proof certificates grouped in dependency order.

Certificates from NAR4C078C001Part051.

source
noncomputable def NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb078SplitAlpha0020 (x y f : SemanticCore.Var) :
Nominal.TAlphaWff [(nb078AlphaDummy199, nb078AlphaDummy200 f), (nb078AlphaDummy168, nb078AlphaDummy170 f), (nb078AlphaDummy167, nb078AlphaDummy169 f), (nb078AlphaDummy197, nb078AlphaDummy198 f), (nb078AlphaDummy171, nb078AlphaDummy172 f), (nb078AlphaDummy011, nb078AlphaDummy014 f), (nb078AlphaDummy010, nb078AlphaDummy013 f), (nb078AlphaDummy009, nb078AlphaDummy012 f), (nb078AlphaDummy015, nb078AlphaDummy016 f), (nb078AlphaDummy000, f), (nb078AlphaDummy004, y), (nb078AlphaDummy003, x)] (Compiler.CompactSourceSyntax.synWa (SemanticCore.Wff.classMem (SemanticCore.Class.cv nb078AlphaDummy199) (Compiler.CompactSourceSyntax.synCcompl (Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv nb078AlphaDummy168)))) (SemanticCore.Wff.classMem (SemanticCore.Class.cv nb078AlphaDummy199) (Compiler.CompactSourceSyntax.synCcompl (Compiler.CompactSourceSyntax.synCsn Compiler.CompactSourceSyntax.synC0c)))).neg (Compiler.CompactSourceSyntax.synWa (SemanticCore.Wff.classMem (SemanticCore.Class.cv (nb078AlphaDummy200 f)) (Compiler.CompactSourceSyntax.synCcompl (Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv (nb078AlphaDummy170 f))))) (SemanticCore.Wff.classMem (SemanticCore.Class.cv (nb078AlphaDummy200 f)) (Compiler.CompactSourceSyntax.synCcompl (Compiler.CompactSourceSyntax.synCsn Compiler.CompactSourceSyntax.synC0c)))).neg

Checked nominal proof certificate identified upstream as nb078_split_alpha_0020.

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    Certificates from NAR4C078C001Part052.

    source
    noncomputable def NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb078SplitAlpha0021 (x y f : SemanticCore.Var) :
    Nominal.TAlphaWff [(nb078AlphaDummy208, nb078AlphaDummy210 f), (nb078AlphaDummy207, nb078AlphaDummy209 f), (nb078AlphaDummy237, nb078AlphaDummy238 f), (nb078AlphaDummy211, nb078AlphaDummy212 f), (nb078AlphaDummy204, nb078AlphaDummy206 f), (nb078AlphaDummy203, nb078AlphaDummy205 f), (nb078AlphaDummy000, f), (nb078AlphaDummy004, y), (nb078AlphaDummy003, x)] ((SemanticCore.Wff.classMem (SemanticCore.Class.cv nb078AlphaDummy208) (SemanticCore.Class.cv nb078AlphaDummy203)).imp (SemanticCore.Wff.classEq (SemanticCore.Class.cv nb078AlphaDummy207) (Compiler.CompactSourceSyntax.synCun (Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv nb078AlphaDummy208)) (Compiler.CompactSourceSyntax.synCsn Compiler.CompactSourceSyntax.synC0c))).neg) ((SemanticCore.Wff.classMem (SemanticCore.Class.cv (nb078AlphaDummy210 f)) (SemanticCore.Class.cv (nb078AlphaDummy205 f))).imp (SemanticCore.Wff.classEq (SemanticCore.Class.cv (nb078AlphaDummy209 f)) (Compiler.CompactSourceSyntax.synCun (Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv (nb078AlphaDummy210 f))) (Compiler.CompactSourceSyntax.synCsn Compiler.CompactSourceSyntax.synC0c))).neg)

    Checked nominal proof certificate identified upstream as nb078_split_alpha_0021.

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      Certificates from NAR4C078C001Part053.

      source
      noncomputable def NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb078SplitAlpha0022 (x y f : SemanticCore.Var) :
      Nominal.TAlphaWff [(nb078AlphaDummy211, nb078AlphaDummy212 f), (nb078AlphaDummy204, nb078AlphaDummy206 f), (nb078AlphaDummy203, nb078AlphaDummy205 f), (nb078AlphaDummy000, f), (nb078AlphaDummy004, y), (nb078AlphaDummy003, x)] ((SemanticCore.Wff.classMem (SemanticCore.Class.cv nb078AlphaDummy211) (Compiler.CompactSourceSyntax.synCcompl (SemanticCore.Class.cab nb078AlphaDummy207 (Compiler.CompactSourceSyntax.synWrex nb078AlphaDummy208 (SemanticCore.Class.cv nb078AlphaDummy204) (SemanticCore.Wff.classEq (SemanticCore.Class.cv nb078AlphaDummy207) (Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv nb078AlphaDummy208))))))).imp (SemanticCore.Wff.classMem (SemanticCore.Class.cv nb078AlphaDummy211) (Compiler.CompactSourceSyntax.synCcompl (SemanticCore.Class.cab nb078AlphaDummy207 (Compiler.CompactSourceSyntax.synWrex nb078AlphaDummy208 (SemanticCore.Class.cv nb078AlphaDummy203) (SemanticCore.Wff.classEq (SemanticCore.Class.cv nb078AlphaDummy207) (Compiler.CompactSourceSyntax.synCun (Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv nb078AlphaDummy208)) (Compiler.CompactSourceSyntax.synCsn Compiler.CompactSourceSyntax.synC0c))))))).neg) ((SemanticCore.Wff.classMem (SemanticCore.Class.cv (nb078AlphaDummy212 f)) (Compiler.CompactSourceSyntax.synCcompl (SemanticCore.Class.cab (nb078AlphaDummy209 f) (Compiler.CompactSourceSyntax.synWrex (nb078AlphaDummy210 f) (SemanticCore.Class.cv (nb078AlphaDummy206 f)) (SemanticCore.Wff.classEq (SemanticCore.Class.cv (nb078AlphaDummy209 f)) (Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv (nb078AlphaDummy210 f)))))))).imp (SemanticCore.Wff.classMem (SemanticCore.Class.cv (nb078AlphaDummy212 f)) (Compiler.CompactSourceSyntax.synCcompl (SemanticCore.Class.cab (nb078AlphaDummy209 f) (Compiler.CompactSourceSyntax.synWrex (nb078AlphaDummy210 f) (SemanticCore.Class.cv (nb078AlphaDummy205 f)) (SemanticCore.Wff.classEq (SemanticCore.Class.cv (nb078AlphaDummy209 f)) (Compiler.CompactSourceSyntax.synCun (Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv (nb078AlphaDummy210 f))) (Compiler.CompactSourceSyntax.synCsn Compiler.CompactSourceSyntax.synC0c))))))).neg)

      Checked nominal proof certificate identified upstream as nb078_split_alpha_0022.

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