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LeanPool.NFWeakPartition.Certificates.NAR4C078C001Block065

Nominal proof certificates grouped in dependency order.

Certificates from NAR4C078C001Part188.

source
noncomputable def NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb078SplitAlpha0171 (x y h : SemanticCore.Var) :
Nominal.TAlphaWff [(nb078AlphaDummy895, nb078AlphaDummy896 h), (nb078AlphaDummy893, nb078AlphaDummy894 h), (nb078AlphaDummy848, nb078AlphaDummy850 h), (nb078AlphaDummy847, nb078AlphaDummy849 h), (nb078AlphaDummy851, nb078AlphaDummy852 h), (nb078AlphaDummy1051, nb078AlphaDummy1054 h), (nb078AlphaDummy1050, nb078AlphaDummy1053 h), (nb078AlphaDummy1049, nb078AlphaDummy1052 h), (nb078AlphaDummy1055, nb078AlphaDummy1056 h), (nb078AlphaDummy002, h), (nb078AlphaDummy004, y), (nb078AlphaDummy003, x)] ((SemanticCore.Wff.classMem (SemanticCore.Class.cv nb078AlphaDummy895) (SemanticCore.Class.cab nb078AlphaDummy889 (Compiler.CompactSourceSyntax.synWrex nb078AlphaDummy890 (SemanticCore.Class.cv nb078AlphaDummy848) (SemanticCore.Wff.classEq (SemanticCore.Class.cv nb078AlphaDummy889) (Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv nb078AlphaDummy890)))))).imp (SemanticCore.Wff.classMem (SemanticCore.Class.cv nb078AlphaDummy895) (SemanticCore.Class.cab nb078AlphaDummy889 (Compiler.CompactSourceSyntax.synWrex nb078AlphaDummy890 (SemanticCore.Class.cv nb078AlphaDummy848) (SemanticCore.Wff.classEq (SemanticCore.Class.cv nb078AlphaDummy889) (Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv nb078AlphaDummy890)))))).neg) ((SemanticCore.Wff.classMem (SemanticCore.Class.cv (nb078AlphaDummy896 h)) (SemanticCore.Class.cab (nb078AlphaDummy891 h) (Compiler.CompactSourceSyntax.synWrex (nb078AlphaDummy892 h) (SemanticCore.Class.cv (nb078AlphaDummy850 h)) (SemanticCore.Wff.classEq (SemanticCore.Class.cv (nb078AlphaDummy891 h)) (Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv (nb078AlphaDummy892 h))))))).imp (SemanticCore.Wff.classMem (SemanticCore.Class.cv (nb078AlphaDummy896 h)) (SemanticCore.Class.cab (nb078AlphaDummy891 h) (Compiler.CompactSourceSyntax.synWrex (nb078AlphaDummy892 h) (SemanticCore.Class.cv (nb078AlphaDummy850 h)) (SemanticCore.Wff.classEq (SemanticCore.Class.cv (nb078AlphaDummy891 h)) (Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv (nb078AlphaDummy892 h))))))).neg)

Checked nominal proof certificate identified upstream as nb078_split_alpha_0171.

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    Certificates from NAR4C078C001Part189.

    source
    noncomputable def NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb078SplitAlpha0172 (x y h : SemanticCore.Var) :
    Nominal.TAlphaWff [(nb078AlphaDummy923, nb078AlphaDummy924 h), (nb078AlphaDummy921, nb078AlphaDummy922 h), (nb078AlphaDummy890, nb078AlphaDummy892 h), (nb078AlphaDummy889, nb078AlphaDummy891 h), (nb078AlphaDummy919, nb078AlphaDummy920 h), (nb078AlphaDummy893, nb078AlphaDummy894 h), (nb078AlphaDummy848, nb078AlphaDummy850 h), (nb078AlphaDummy847, nb078AlphaDummy849 h), (nb078AlphaDummy851, nb078AlphaDummy852 h), (nb078AlphaDummy1051, nb078AlphaDummy1054 h), (nb078AlphaDummy1050, nb078AlphaDummy1053 h), (nb078AlphaDummy1049, nb078AlphaDummy1052 h), (nb078AlphaDummy1055, nb078AlphaDummy1056 h), (nb078AlphaDummy002, h), (nb078AlphaDummy004, y), (nb078AlphaDummy003, x)] ((SemanticCore.Wff.classMem (SemanticCore.Class.cv nb078AlphaDummy923) (Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv nb078AlphaDummy890))).imp (SemanticCore.Wff.classMem (SemanticCore.Class.cv nb078AlphaDummy923) (Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv nb078AlphaDummy890))).neg) ((SemanticCore.Wff.classMem (SemanticCore.Class.cv (nb078AlphaDummy924 h)) (Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv (nb078AlphaDummy892 h)))).imp (SemanticCore.Wff.classMem (SemanticCore.Class.cv (nb078AlphaDummy924 h)) (Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv (nb078AlphaDummy892 h)))).neg)

    Checked nominal proof certificate identified upstream as nb078_split_alpha_0172.

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      Certificates from NAR4C078C001Part190.

      source
      noncomputable def NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb078SplitAlpha0173 (x y h : SemanticCore.Var) (dv_h_x : h ≠ x) (dv_h_y : h ≠ y) (dv_x_y : x ≠ y) :
      Nominal.TAlphaWff [(nb078AlphaDummy002, h), (nb078AlphaDummy004, y), (nb078AlphaDummy003, x)] ((Compiler.CompactSourceSyntax.synWf (SemanticCore.Class.cv nb078AlphaDummy002) (SemanticCore.Class.cv nb078AlphaDummy003) (SemanticCore.Class.cv nb078AlphaDummy004)).imp (Compiler.CompactSourceSyntax.synWfun (Compiler.CompactSourceSyntax.synCcnv (SemanticCore.Class.cv nb078AlphaDummy002))).neg) ((Compiler.CompactSourceSyntax.synWf (SemanticCore.Class.cv h) (SemanticCore.Class.cv x) (SemanticCore.Class.cv y)).imp (Compiler.CompactSourceSyntax.synWfun (Compiler.CompactSourceSyntax.synCcnv (SemanticCore.Class.cv h))).neg)

      Checked nominal proof certificate identified upstream as nb078_split_alpha_0173.

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        source
        noncomputable def NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nominalDfWpp (x y f g h : SemanticCore.Var) (__dv_f_g : f ≠ g) (__dv_f_h : f ≠ h) (dv_f_x : f ≠ x) (dv_f_y : f ≠ y) (__dv_g_h : g ≠ h) (dv_g_x : g ≠ x) (dv_g_y : g ≠ y) (dv_h_x : h ≠ x) (dv_h_y : h ≠ y) (dv_x_y : x ≠ y) :
        Nominal.NPrf (Compiler.CompactSourceSyntax.synWb Compiler.CompactSourceSyntax.synWwpp (SemanticCore.Wff.all x (SemanticCore.Wff.all y ((Compiler.CompactSourceSyntax.synWa (Compiler.CompactSourceSyntax.synWex f (Compiler.CompactSourceSyntax.synWfo (SemanticCore.Class.cv f) (SemanticCore.Class.cv y) (SemanticCore.Class.cv x))) (Compiler.CompactSourceSyntax.synWex g (Compiler.CompactSourceSyntax.synWf1 (SemanticCore.Class.cv g) (SemanticCore.Class.cv y) (SemanticCore.Class.cv x)))).imp (Compiler.CompactSourceSyntax.synWex h (Compiler.CompactSourceSyntax.synWf1 (SemanticCore.Class.cv h) (SemanticCore.Class.cv x) (SemanticCore.Class.cv y)))))))

        Checked nominal proof certificate identified upstream as nominal_df_wpp.

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