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LeanPool.NFWeakPartition.Certificates.NAR4C078C001Block050

Nominal proof certificates grouped in dependency order.

Certificates from NAR4C078C001Part150.

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noncomputable def NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb078SplitAlpha0128 (x y h : SemanticCore.Var) :
Nominal.TAlphaWff [(nb078AlphaDummy921, nb078AlphaDummy922 h), (nb078AlphaDummy890, nb078AlphaDummy892 h), (nb078AlphaDummy889, nb078AlphaDummy891 h), (nb078AlphaDummy919, nb078AlphaDummy920 h), (nb078AlphaDummy893, nb078AlphaDummy894 h), (nb078AlphaDummy848, nb078AlphaDummy850 h), (nb078AlphaDummy847, nb078AlphaDummy849 h), (nb078AlphaDummy851, nb078AlphaDummy852 h), (nb078AlphaDummy962, nb078AlphaDummy964 h), (nb078AlphaDummy961, nb078AlphaDummy963 h), (nb078AlphaDummy002, h), (nb078AlphaDummy004, y), (nb078AlphaDummy003, x)] ((SemanticCore.Wff.classMem (SemanticCore.Class.cv nb078AlphaDummy921) (Compiler.CompactSourceSyntax.synCcompl (Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv nb078AlphaDummy890)))).imp (SemanticCore.Wff.classMem (SemanticCore.Class.cv nb078AlphaDummy921) (Compiler.CompactSourceSyntax.synCcompl (Compiler.CompactSourceSyntax.synCsn Compiler.CompactSourceSyntax.synC0c))).neg) ((SemanticCore.Wff.classMem (SemanticCore.Class.cv (nb078AlphaDummy922 h)) (Compiler.CompactSourceSyntax.synCcompl (Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv (nb078AlphaDummy892 h))))).imp (SemanticCore.Wff.classMem (SemanticCore.Class.cv (nb078AlphaDummy922 h)) (Compiler.CompactSourceSyntax.synCcompl (Compiler.CompactSourceSyntax.synCsn Compiler.CompactSourceSyntax.synC0c))).neg)

Checked nominal proof certificate identified upstream as nb078_split_alpha_0128.

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    source
    noncomputable def NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb078SplitAlpha0129 (x y h : SemanticCore.Var) (dv_h_x : h ≠ x) (dv_x_y : x ≠ y) :
    Nominal.TAlphaWff [(nb078AlphaDummy002, h), (nb078AlphaDummy004, y), (nb078AlphaDummy003, x)] ((Compiler.CompactSourceSyntax.synWfun (SemanticCore.Class.cv nb078AlphaDummy002)).imp (SemanticCore.Wff.classEq (Compiler.CompactSourceSyntax.synCdm (SemanticCore.Class.cv nb078AlphaDummy002)) (SemanticCore.Class.cv nb078AlphaDummy003)).neg) ((Compiler.CompactSourceSyntax.synWfun (SemanticCore.Class.cv h)).imp (SemanticCore.Wff.classEq (Compiler.CompactSourceSyntax.synCdm (SemanticCore.Class.cv h)) (SemanticCore.Class.cv x)).neg)

    Checked nominal proof certificate identified upstream as nb078_split_alpha_0129.

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      Certificates from NAR4C078C001Part151.

      source
      noncomputable def NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb078SplitAlpha0130 (x y h : SemanticCore.Var) :
      Nominal.TAlphaWff [(nb078AlphaDummy1015, nb078AlphaDummy1016 h), (nb078AlphaDummy1013, nb078AlphaDummy1014 h), (nb078AlphaDummy1006, nb078AlphaDummy1008 h), (nb078AlphaDummy1005, nb078AlphaDummy1007 h), (nb078AlphaDummy1003, nb078AlphaDummy1004 y h), (nb078AlphaDummy1001, nb078AlphaDummy1002 y h), (nb078AlphaDummy002, h), (nb078AlphaDummy004, y), (nb078AlphaDummy003, x)] ((SemanticCore.Wff.classMem (SemanticCore.Class.cv nb078AlphaDummy1015) (SemanticCore.Class.cab nb078AlphaDummy1009 (Compiler.CompactSourceSyntax.synWrex nb078AlphaDummy1010 (SemanticCore.Class.cv nb078AlphaDummy1006) (SemanticCore.Wff.classEq (SemanticCore.Class.cv nb078AlphaDummy1009) (Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv nb078AlphaDummy1010)))))).imp (SemanticCore.Wff.classMem (SemanticCore.Class.cv nb078AlphaDummy1015) (SemanticCore.Class.cab nb078AlphaDummy1009 (Compiler.CompactSourceSyntax.synWrex nb078AlphaDummy1010 (SemanticCore.Class.cv nb078AlphaDummy1006) (SemanticCore.Wff.classEq (SemanticCore.Class.cv nb078AlphaDummy1009) (Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv nb078AlphaDummy1010)))))).neg) ((SemanticCore.Wff.classMem (SemanticCore.Class.cv (nb078AlphaDummy1016 h)) (SemanticCore.Class.cab (nb078AlphaDummy1011 h) (Compiler.CompactSourceSyntax.synWrex (nb078AlphaDummy1012 h) (SemanticCore.Class.cv (nb078AlphaDummy1008 h)) (SemanticCore.Wff.classEq (SemanticCore.Class.cv (nb078AlphaDummy1011 h)) (Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv (nb078AlphaDummy1012 h))))))).imp (SemanticCore.Wff.classMem (SemanticCore.Class.cv (nb078AlphaDummy1016 h)) (SemanticCore.Class.cab (nb078AlphaDummy1011 h) (Compiler.CompactSourceSyntax.synWrex (nb078AlphaDummy1012 h) (SemanticCore.Class.cv (nb078AlphaDummy1008 h)) (SemanticCore.Wff.classEq (SemanticCore.Class.cv (nb078AlphaDummy1011 h)) (Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv (nb078AlphaDummy1012 h))))))).neg)

      Checked nominal proof certificate identified upstream as nb078_split_alpha_0130.

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