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LeanPool.NFWeakPartition.Certificates.NAR4C078C001Block048

Nominal proof certificates grouped in dependency order.

Certificates from NAR4C078C001Part144.

source
noncomputable def NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb078SplitAlpha0122 (x y h : SemanticCore.Var) :
Nominal.TAlphaWff [(nb078AlphaDummy957, nb078AlphaDummy958 h), (nb078AlphaDummy926, nb078AlphaDummy928 h), (nb078AlphaDummy925, nb078AlphaDummy927 h), (nb078AlphaDummy955, nb078AlphaDummy956 h), (nb078AlphaDummy929, nb078AlphaDummy930 h), (nb078AlphaDummy769, nb078AlphaDummy772 h), (nb078AlphaDummy768, nb078AlphaDummy771 h), (nb078AlphaDummy767, nb078AlphaDummy770 h), (nb078AlphaDummy773, nb078AlphaDummy774 h), (nb078AlphaDummy002, h), (nb078AlphaDummy004, y), (nb078AlphaDummy003, x)] (Compiler.CompactSourceSyntax.synWa (SemanticCore.Wff.classMem (SemanticCore.Class.cv nb078AlphaDummy957) (Compiler.CompactSourceSyntax.synCcompl (Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv nb078AlphaDummy926)))) (SemanticCore.Wff.classMem (SemanticCore.Class.cv nb078AlphaDummy957) (Compiler.CompactSourceSyntax.synCcompl (Compiler.CompactSourceSyntax.synCsn Compiler.CompactSourceSyntax.synC0c)))).neg (Compiler.CompactSourceSyntax.synWa (SemanticCore.Wff.classMem (SemanticCore.Class.cv (nb078AlphaDummy958 h)) (Compiler.CompactSourceSyntax.synCcompl (Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv (nb078AlphaDummy928 h))))) (SemanticCore.Wff.classMem (SemanticCore.Class.cv (nb078AlphaDummy958 h)) (Compiler.CompactSourceSyntax.synCcompl (Compiler.CompactSourceSyntax.synCsn Compiler.CompactSourceSyntax.synC0c)))).neg

Checked nominal proof certificate identified upstream as nb078_split_alpha_0122.

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    Certificates from NAR4C078C001Part145.

    source
    noncomputable def NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb078SplitAlpha0123 (x y h : SemanticCore.Var) :
    Nominal.TAlphaWff [(nb078AlphaDummy966, nb078AlphaDummy968 h), (nb078AlphaDummy965, nb078AlphaDummy967 h), (nb078AlphaDummy995, nb078AlphaDummy996 h), (nb078AlphaDummy969, nb078AlphaDummy970 h), (nb078AlphaDummy962, nb078AlphaDummy964 h), (nb078AlphaDummy961, nb078AlphaDummy963 h), (nb078AlphaDummy002, h), (nb078AlphaDummy004, y), (nb078AlphaDummy003, x)] ((SemanticCore.Wff.classMem (SemanticCore.Class.cv nb078AlphaDummy966) (SemanticCore.Class.cv nb078AlphaDummy961)).imp (SemanticCore.Wff.classEq (SemanticCore.Class.cv nb078AlphaDummy965) (Compiler.CompactSourceSyntax.synCun (Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv nb078AlphaDummy966)) (Compiler.CompactSourceSyntax.synCsn Compiler.CompactSourceSyntax.synC0c))).neg) ((SemanticCore.Wff.classMem (SemanticCore.Class.cv (nb078AlphaDummy968 h)) (SemanticCore.Class.cv (nb078AlphaDummy963 h))).imp (SemanticCore.Wff.classEq (SemanticCore.Class.cv (nb078AlphaDummy967 h)) (Compiler.CompactSourceSyntax.synCun (Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv (nb078AlphaDummy968 h))) (Compiler.CompactSourceSyntax.synCsn Compiler.CompactSourceSyntax.synC0c))).neg)

    Checked nominal proof certificate identified upstream as nb078_split_alpha_0123.

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      Certificates from NAR4C078C001Part146.

      source
      noncomputable def NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb078SplitAlpha0124 (x y h : SemanticCore.Var) :
      Nominal.TAlphaWff [(nb078AlphaDummy969, nb078AlphaDummy970 h), (nb078AlphaDummy962, nb078AlphaDummy964 h), (nb078AlphaDummy961, nb078AlphaDummy963 h), (nb078AlphaDummy002, h), (nb078AlphaDummy004, y), (nb078AlphaDummy003, x)] ((SemanticCore.Wff.classMem (SemanticCore.Class.cv nb078AlphaDummy969) (Compiler.CompactSourceSyntax.synCcompl (SemanticCore.Class.cab nb078AlphaDummy965 (Compiler.CompactSourceSyntax.synWrex nb078AlphaDummy966 (SemanticCore.Class.cv nb078AlphaDummy962) (SemanticCore.Wff.classEq (SemanticCore.Class.cv nb078AlphaDummy965) (Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv nb078AlphaDummy966))))))).imp (SemanticCore.Wff.classMem (SemanticCore.Class.cv nb078AlphaDummy969) (Compiler.CompactSourceSyntax.synCcompl (SemanticCore.Class.cab nb078AlphaDummy965 (Compiler.CompactSourceSyntax.synWrex nb078AlphaDummy966 (SemanticCore.Class.cv nb078AlphaDummy961) (SemanticCore.Wff.classEq (SemanticCore.Class.cv nb078AlphaDummy965) (Compiler.CompactSourceSyntax.synCun (Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv nb078AlphaDummy966)) (Compiler.CompactSourceSyntax.synCsn Compiler.CompactSourceSyntax.synC0c))))))).neg) ((SemanticCore.Wff.classMem (SemanticCore.Class.cv (nb078AlphaDummy970 h)) (Compiler.CompactSourceSyntax.synCcompl (SemanticCore.Class.cab (nb078AlphaDummy967 h) (Compiler.CompactSourceSyntax.synWrex (nb078AlphaDummy968 h) (SemanticCore.Class.cv (nb078AlphaDummy964 h)) (SemanticCore.Wff.classEq (SemanticCore.Class.cv (nb078AlphaDummy967 h)) (Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv (nb078AlphaDummy968 h)))))))).imp (SemanticCore.Wff.classMem (SemanticCore.Class.cv (nb078AlphaDummy970 h)) (Compiler.CompactSourceSyntax.synCcompl (SemanticCore.Class.cab (nb078AlphaDummy967 h) (Compiler.CompactSourceSyntax.synWrex (nb078AlphaDummy968 h) (SemanticCore.Class.cv (nb078AlphaDummy963 h)) (SemanticCore.Wff.classEq (SemanticCore.Class.cv (nb078AlphaDummy967 h)) (Compiler.CompactSourceSyntax.synCun (Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv (nb078AlphaDummy968 h))) (Compiler.CompactSourceSyntax.synCsn Compiler.CompactSourceSyntax.synC0c))))))).neg)

      Checked nominal proof certificate identified upstream as nb078_split_alpha_0124.

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