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LeanPool.NFWeakPartition.Certificates.NAR4C078C001Block014

Nominal proof certificates grouped in dependency order.

Certificates from NAR4C078C001Part045.

source
noncomputable def NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb078SplitAlpha0014 (x y f : SemanticCore.Var) :
Nominal.TAlphaWff [(nb078AlphaDummy085, nb078AlphaDummy086 f), (nb078AlphaDummy054, nb078AlphaDummy056 f), (nb078AlphaDummy053, nb078AlphaDummy055 f), (nb078AlphaDummy083, nb078AlphaDummy084 f), (nb078AlphaDummy057, nb078AlphaDummy058 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 nb078AlphaDummy085) (Compiler.CompactSourceSyntax.synCcompl (Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv nb078AlphaDummy054)))) (SemanticCore.Wff.classMem (SemanticCore.Class.cv nb078AlphaDummy085) (Compiler.CompactSourceSyntax.synCcompl (Compiler.CompactSourceSyntax.synCsn Compiler.CompactSourceSyntax.synC0c)))).neg (Compiler.CompactSourceSyntax.synWa (SemanticCore.Wff.classMem (SemanticCore.Class.cv (nb078AlphaDummy086 f)) (Compiler.CompactSourceSyntax.synCcompl (Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv (nb078AlphaDummy056 f))))) (SemanticCore.Wff.classMem (SemanticCore.Class.cv (nb078AlphaDummy086 f)) (Compiler.CompactSourceSyntax.synCcompl (Compiler.CompactSourceSyntax.synCsn Compiler.CompactSourceSyntax.synC0c)))).neg

Checked nominal proof certificate identified upstream as nb078_split_alpha_0014.

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    Certificates from NAR4C078C001Part046.

    source
    noncomputable def NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb078SplitAlpha0015 (x y f : SemanticCore.Var) :
    Nominal.TAlphaWff [(nb078AlphaDummy101, nb078AlphaDummy102 f), (nb078AlphaDummy099, nb078AlphaDummy100 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 nb078AlphaDummy101) (SemanticCore.Class.cab nb078AlphaDummy095 (Compiler.CompactSourceSyntax.synWrex nb078AlphaDummy096 (SemanticCore.Class.cv nb078AlphaDummy089) (SemanticCore.Wff.classEq (SemanticCore.Class.cv nb078AlphaDummy095) (Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv nb078AlphaDummy096)))))).imp (SemanticCore.Wff.classMem (SemanticCore.Class.cv nb078AlphaDummy101) (SemanticCore.Class.cab nb078AlphaDummy095 (Compiler.CompactSourceSyntax.synWrex nb078AlphaDummy096 (SemanticCore.Class.cv nb078AlphaDummy089) (SemanticCore.Wff.classEq (SemanticCore.Class.cv nb078AlphaDummy095) (Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv nb078AlphaDummy096)))))).neg) ((SemanticCore.Wff.classMem (SemanticCore.Class.cv (nb078AlphaDummy102 f)) (SemanticCore.Class.cab (nb078AlphaDummy097 f) (Compiler.CompactSourceSyntax.synWrex (nb078AlphaDummy098 f) (SemanticCore.Class.cv (nb078AlphaDummy091 f)) (SemanticCore.Wff.classEq (SemanticCore.Class.cv (nb078AlphaDummy097 f)) (Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv (nb078AlphaDummy098 f))))))).imp (SemanticCore.Wff.classMem (SemanticCore.Class.cv (nb078AlphaDummy102 f)) (SemanticCore.Class.cab (nb078AlphaDummy097 f) (Compiler.CompactSourceSyntax.synWrex (nb078AlphaDummy098 f) (SemanticCore.Class.cv (nb078AlphaDummy091 f)) (SemanticCore.Wff.classEq (SemanticCore.Class.cv (nb078AlphaDummy097 f)) (Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv (nb078AlphaDummy098 f))))))).neg)

    Checked nominal proof certificate identified upstream as nb078_split_alpha_0015.

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      Certificates from NAR4C078C001Part047.

      source
      noncomputable def NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb078SplitAlpha0016 (x y f : SemanticCore.Var) :
      Nominal.TAlphaWff [(nb078AlphaDummy129, nb078AlphaDummy130 f), (nb078AlphaDummy127, nb078AlphaDummy128 f), (nb078AlphaDummy096, nb078AlphaDummy098 f), (nb078AlphaDummy095, nb078AlphaDummy097 f), (nb078AlphaDummy125, nb078AlphaDummy126 f), (nb078AlphaDummy099, nb078AlphaDummy100 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 nb078AlphaDummy129) (Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv nb078AlphaDummy096))).imp (SemanticCore.Wff.classMem (SemanticCore.Class.cv nb078AlphaDummy129) (Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv nb078AlphaDummy096))).neg) ((SemanticCore.Wff.classMem (SemanticCore.Class.cv (nb078AlphaDummy130 f)) (Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv (nb078AlphaDummy098 f)))).imp (SemanticCore.Wff.classMem (SemanticCore.Class.cv (nb078AlphaDummy130 f)) (Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv (nb078AlphaDummy098 f)))).neg)

      Checked nominal proof certificate identified upstream as nb078_split_alpha_0016.

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