Documentation

LeanPool.NFWeakPartition.Certificates.NAR4C078C001Block047

Nominal proof certificates grouped in dependency order.

Certificates from NAR4C078C001Part141.

source
noncomputable def NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb078SplitAlpha0119 (x y h : SemanticCore.Var) :
Nominal.TAlphaWff [(nb078AlphaDummy895, nb078AlphaDummy896 h), (nb078AlphaDummy893, nb078AlphaDummy894 h), (nb078AlphaDummy848, nb078AlphaDummy850 h), (nb078AlphaDummy847, nb078AlphaDummy849 h), (nb078AlphaDummy851, nb078AlphaDummy852 h), (nb078AlphaDummy769, nb078AlphaDummy772 h), (nb078AlphaDummy768, nb078AlphaDummy771 h), (nb078AlphaDummy767, nb078AlphaDummy770 h), (nb078AlphaDummy773, nb078AlphaDummy774 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_0119.

Equations
  • One or more equations did not get rendered due to their size.
Instances For

    Certificates from NAR4C078C001Part142.

    source
    noncomputable def NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb078SplitAlpha0120 (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), (nb078AlphaDummy769, nb078AlphaDummy772 h), (nb078AlphaDummy768, nb078AlphaDummy771 h), (nb078AlphaDummy767, nb078AlphaDummy770 h), (nb078AlphaDummy773, nb078AlphaDummy774 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_0120.

    Equations
    • One or more equations did not get rendered due to their size.
    Instances For

      Certificates from NAR4C078C001Part143.

      source
      noncomputable def NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb078SplitAlpha0121 (x y h : SemanticCore.Var) :
      Nominal.TAlphaWff [(nb078AlphaDummy931, nb078AlphaDummy932 h), (nb078AlphaDummy929, nb078AlphaDummy930 h), (nb078AlphaDummy769, nb078AlphaDummy772 h), (nb078AlphaDummy768, nb078AlphaDummy771 h), (nb078AlphaDummy767, nb078AlphaDummy770 h), (nb078AlphaDummy773, nb078AlphaDummy774 h), (nb078AlphaDummy002, h), (nb078AlphaDummy004, y), (nb078AlphaDummy003, x)] ((SemanticCore.Wff.classMem (SemanticCore.Class.cv nb078AlphaDummy931) (SemanticCore.Class.cab nb078AlphaDummy925 (Compiler.CompactSourceSyntax.synWrex nb078AlphaDummy926 (SemanticCore.Class.cv nb078AlphaDummy769) (SemanticCore.Wff.classEq (SemanticCore.Class.cv nb078AlphaDummy925) (Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv nb078AlphaDummy926)))))).imp (SemanticCore.Wff.classMem (SemanticCore.Class.cv nb078AlphaDummy931) (SemanticCore.Class.cab nb078AlphaDummy925 (Compiler.CompactSourceSyntax.synWrex nb078AlphaDummy926 (SemanticCore.Class.cv nb078AlphaDummy769) (SemanticCore.Wff.classEq (SemanticCore.Class.cv nb078AlphaDummy925) (Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv nb078AlphaDummy926)))))).neg) ((SemanticCore.Wff.classMem (SemanticCore.Class.cv (nb078AlphaDummy932 h)) (SemanticCore.Class.cab (nb078AlphaDummy927 h) (Compiler.CompactSourceSyntax.synWrex (nb078AlphaDummy928 h) (SemanticCore.Class.cv (nb078AlphaDummy772 h)) (SemanticCore.Wff.classEq (SemanticCore.Class.cv (nb078AlphaDummy927 h)) (Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv (nb078AlphaDummy928 h))))))).imp (SemanticCore.Wff.classMem (SemanticCore.Class.cv (nb078AlphaDummy932 h)) (SemanticCore.Class.cab (nb078AlphaDummy927 h) (Compiler.CompactSourceSyntax.synWrex (nb078AlphaDummy928 h) (SemanticCore.Class.cv (nb078AlphaDummy772 h)) (SemanticCore.Wff.classEq (SemanticCore.Class.cv (nb078AlphaDummy927 h)) (Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv (nb078AlphaDummy928 h))))))).neg)

      Checked nominal proof certificate identified upstream as nb078_split_alpha_0121.

      Equations
      • One or more equations did not get rendered due to their size.
      Instances For