Documentation

LeanPool.NFWeakPartition.Certificates.NAR4C078C001Block049

Nominal proof certificates grouped in dependency order.

Certificates from NAR4C078C001Part147.

source
noncomputable def NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb078SplitAlpha0125 (x y h : SemanticCore.Var) :
Nominal.TAlphaWff [(nb078AlphaDummy859, nb078AlphaDummy860 h), (nb078AlphaDummy857, nb078AlphaDummy858 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 nb078AlphaDummy859) (SemanticCore.Class.cab nb078AlphaDummy853 (Compiler.CompactSourceSyntax.synWrex nb078AlphaDummy854 (SemanticCore.Class.cv nb078AlphaDummy847) (SemanticCore.Wff.classEq (SemanticCore.Class.cv nb078AlphaDummy853) (Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv nb078AlphaDummy854)))))).imp (SemanticCore.Wff.classMem (SemanticCore.Class.cv nb078AlphaDummy859) (SemanticCore.Class.cab nb078AlphaDummy853 (Compiler.CompactSourceSyntax.synWrex nb078AlphaDummy854 (SemanticCore.Class.cv nb078AlphaDummy847) (SemanticCore.Wff.classEq (SemanticCore.Class.cv nb078AlphaDummy853) (Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv nb078AlphaDummy854)))))).neg) ((SemanticCore.Wff.classMem (SemanticCore.Class.cv (nb078AlphaDummy860 h)) (SemanticCore.Class.cab (nb078AlphaDummy855 h) (Compiler.CompactSourceSyntax.synWrex (nb078AlphaDummy856 h) (SemanticCore.Class.cv (nb078AlphaDummy849 h)) (SemanticCore.Wff.classEq (SemanticCore.Class.cv (nb078AlphaDummy855 h)) (Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv (nb078AlphaDummy856 h))))))).imp (SemanticCore.Wff.classMem (SemanticCore.Class.cv (nb078AlphaDummy860 h)) (SemanticCore.Class.cab (nb078AlphaDummy855 h) (Compiler.CompactSourceSyntax.synWrex (nb078AlphaDummy856 h) (SemanticCore.Class.cv (nb078AlphaDummy849 h)) (SemanticCore.Wff.classEq (SemanticCore.Class.cv (nb078AlphaDummy855 h)) (Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv (nb078AlphaDummy856 h))))))).neg)

Checked nominal proof certificate identified upstream as nb078_split_alpha_0125.

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

    Certificates from NAR4C078C001Part148.

    source
    noncomputable def NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb078SplitAlpha0126 (x y h : SemanticCore.Var) :
    Nominal.TAlphaWff [(nb078AlphaDummy885, nb078AlphaDummy886 h), (nb078AlphaDummy854, nb078AlphaDummy856 h), (nb078AlphaDummy853, nb078AlphaDummy855 h), (nb078AlphaDummy883, nb078AlphaDummy884 h), (nb078AlphaDummy857, nb078AlphaDummy858 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 nb078AlphaDummy885) (Compiler.CompactSourceSyntax.synCcompl (Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv nb078AlphaDummy854)))).imp (SemanticCore.Wff.classMem (SemanticCore.Class.cv nb078AlphaDummy885) (Compiler.CompactSourceSyntax.synCcompl (Compiler.CompactSourceSyntax.synCsn Compiler.CompactSourceSyntax.synC0c))).neg) ((SemanticCore.Wff.classMem (SemanticCore.Class.cv (nb078AlphaDummy886 h)) (Compiler.CompactSourceSyntax.synCcompl (Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv (nb078AlphaDummy856 h))))).imp (SemanticCore.Wff.classMem (SemanticCore.Class.cv (nb078AlphaDummy886 h)) (Compiler.CompactSourceSyntax.synCcompl (Compiler.CompactSourceSyntax.synCsn Compiler.CompactSourceSyntax.synC0c))).neg)

    Checked nominal proof certificate identified upstream as nb078_split_alpha_0126.

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

      Certificates from NAR4C078C001Part149.

      source
      noncomputable def NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb078SplitAlpha0127 (x y h : SemanticCore.Var) :
      Nominal.TAlphaWff [(nb078AlphaDummy895, nb078AlphaDummy896 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 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_0127.

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