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LeanPool.NFWeakPartition.Certificates.NAR4C078C001Block010

Nominal proof certificates grouped in dependency order.

Certificates from NAR4C078C001Part032.

source
noncomputable def NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb078SplitAlpha0000 (x y f : SemanticCore.Var) :
Nominal.TAlphaWff [(nb078AlphaDummy023, nb078AlphaDummy024 f), (nb078AlphaDummy021, nb078AlphaDummy022 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 nb078AlphaDummy023) (SemanticCore.Class.cab nb078AlphaDummy017 (Compiler.CompactSourceSyntax.synWrex nb078AlphaDummy018 (SemanticCore.Class.cv nb078AlphaDummy009) (SemanticCore.Wff.classEq (SemanticCore.Class.cv nb078AlphaDummy017) (Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv nb078AlphaDummy018)))))).imp (SemanticCore.Wff.classMem (SemanticCore.Class.cv nb078AlphaDummy023) (SemanticCore.Class.cab nb078AlphaDummy017 (Compiler.CompactSourceSyntax.synWrex nb078AlphaDummy018 (SemanticCore.Class.cv nb078AlphaDummy009) (SemanticCore.Wff.classEq (SemanticCore.Class.cv nb078AlphaDummy017) (Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv nb078AlphaDummy018)))))).neg) ((SemanticCore.Wff.classMem (SemanticCore.Class.cv (nb078AlphaDummy024 f)) (SemanticCore.Class.cab (nb078AlphaDummy019 f) (Compiler.CompactSourceSyntax.synWrex (nb078AlphaDummy020 f) (SemanticCore.Class.cv (nb078AlphaDummy012 f)) (SemanticCore.Wff.classEq (SemanticCore.Class.cv (nb078AlphaDummy019 f)) (Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv (nb078AlphaDummy020 f))))))).imp (SemanticCore.Wff.classMem (SemanticCore.Class.cv (nb078AlphaDummy024 f)) (SemanticCore.Class.cab (nb078AlphaDummy019 f) (Compiler.CompactSourceSyntax.synWrex (nb078AlphaDummy020 f) (SemanticCore.Class.cv (nb078AlphaDummy012 f)) (SemanticCore.Wff.classEq (SemanticCore.Class.cv (nb078AlphaDummy019 f)) (Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv (nb078AlphaDummy020 f))))))).neg)

Checked nominal proof certificate identified upstream as nb078_split_alpha_0000.

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    Certificates from NAR4C078C001Part033.

    source
    noncomputable def NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb078SplitAlpha0001 (x y f : SemanticCore.Var) :
    Nominal.TAlphaWff [(nb078AlphaDummy049, nb078AlphaDummy050 f), (nb078AlphaDummy018, nb078AlphaDummy020 f), (nb078AlphaDummy017, nb078AlphaDummy019 f), (nb078AlphaDummy047, nb078AlphaDummy048 f), (nb078AlphaDummy021, nb078AlphaDummy022 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 nb078AlphaDummy049) (Compiler.CompactSourceSyntax.synCcompl (Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv nb078AlphaDummy018)))).imp (SemanticCore.Wff.classMem (SemanticCore.Class.cv nb078AlphaDummy049) (Compiler.CompactSourceSyntax.synCcompl (Compiler.CompactSourceSyntax.synCsn Compiler.CompactSourceSyntax.synC0c))).neg) ((SemanticCore.Wff.classMem (SemanticCore.Class.cv (nb078AlphaDummy050 f)) (Compiler.CompactSourceSyntax.synCcompl (Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv (nb078AlphaDummy020 f))))).imp (SemanticCore.Wff.classMem (SemanticCore.Class.cv (nb078AlphaDummy050 f)) (Compiler.CompactSourceSyntax.synCcompl (Compiler.CompactSourceSyntax.synCsn Compiler.CompactSourceSyntax.synC0c))).neg)

    Checked nominal proof certificate identified upstream as nb078_split_alpha_0001.

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      Certificates from NAR4C078C001Part034.

      source
      noncomputable def NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb078SplitAlpha0002 (x y f : SemanticCore.Var) :
      Nominal.TAlphaWff [(nb078AlphaDummy059, nb078AlphaDummy060 f), (nb078AlphaDummy057, nb078AlphaDummy058 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 nb078AlphaDummy059) (SemanticCore.Class.cab nb078AlphaDummy053 (Compiler.CompactSourceSyntax.synWrex nb078AlphaDummy054 (SemanticCore.Class.cv nb078AlphaDummy009) (SemanticCore.Wff.classEq (SemanticCore.Class.cv nb078AlphaDummy053) (Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv nb078AlphaDummy054)))))).imp (SemanticCore.Wff.classMem (SemanticCore.Class.cv nb078AlphaDummy059) (SemanticCore.Class.cab nb078AlphaDummy053 (Compiler.CompactSourceSyntax.synWrex nb078AlphaDummy054 (SemanticCore.Class.cv nb078AlphaDummy009) (SemanticCore.Wff.classEq (SemanticCore.Class.cv nb078AlphaDummy053) (Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv nb078AlphaDummy054)))))).neg) ((SemanticCore.Wff.classMem (SemanticCore.Class.cv (nb078AlphaDummy060 f)) (SemanticCore.Class.cab (nb078AlphaDummy055 f) (Compiler.CompactSourceSyntax.synWrex (nb078AlphaDummy056 f) (SemanticCore.Class.cv (nb078AlphaDummy012 f)) (SemanticCore.Wff.classEq (SemanticCore.Class.cv (nb078AlphaDummy055 f)) (Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv (nb078AlphaDummy056 f))))))).imp (SemanticCore.Wff.classMem (SemanticCore.Class.cv (nb078AlphaDummy060 f)) (SemanticCore.Class.cab (nb078AlphaDummy055 f) (Compiler.CompactSourceSyntax.synWrex (nb078AlphaDummy056 f) (SemanticCore.Class.cv (nb078AlphaDummy012 f)) (SemanticCore.Wff.classEq (SemanticCore.Class.cv (nb078AlphaDummy055 f)) (Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv (nb078AlphaDummy056 f))))))).neg)

      Checked nominal proof certificate identified upstream as nb078_split_alpha_0002.

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