Documentation

LeanPool.NFWeakPartition.Certificates.NAR4C078C001Block013

Nominal proof certificates grouped in dependency order.

Certificates from NAR4C078C001Part042.

source
noncomputable def NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb078WppRefl0035 (x y f : SemanticCore.Var) :
Nominal.TReflOn [(nb078AlphaDummy007, nb078AlphaDummy008 f), (nb078AlphaDummy005, nb078AlphaDummy006 f), (nb078AlphaDummy000, f), (nb078AlphaDummy004, y), (nb078AlphaDummy003, x)] Compiler.CompactSourceSyntax.synCid.fv

Checked nominal proof certificate identified upstream as nb078_wpp_refl_0035.

Equations
Instances For
    source
    noncomputable def NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb078SplitAlpha0011 (x y f : SemanticCore.Var) :
    Nominal.TAlphaWff [(nb078AlphaDummy023, nb078AlphaDummy024 f), (nb078AlphaDummy021, nb078AlphaDummy022 f), (nb078AlphaDummy010, nb078AlphaDummy013 f), (nb078AlphaDummy009, nb078AlphaDummy012 f), (nb078AlphaDummy015, nb078AlphaDummy016 f), (nb078AlphaDummy000, f), (nb078AlphaDummy004, y), (nb078AlphaDummy003, x)] ((SemanticCore.Wff.classMem (SemanticCore.Class.cv nb078AlphaDummy023) (SemanticCore.Class.cab nb078AlphaDummy017 (Compiler.CompactSourceSyntax.synWrex nb078AlphaDummy018 (SemanticCore.Class.cv nb078AlphaDummy009) (SemanticCore.Wff.classEq (SemanticCore.Class.cv nb078AlphaDummy017) (Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv nb078AlphaDummy018)))))).imp (SemanticCore.Wff.classMem (SemanticCore.Class.cv nb078AlphaDummy023) (SemanticCore.Class.cab nb078AlphaDummy017 (Compiler.CompactSourceSyntax.synWrex nb078AlphaDummy018 (SemanticCore.Class.cv nb078AlphaDummy009) (SemanticCore.Wff.classEq (SemanticCore.Class.cv nb078AlphaDummy017) (Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv nb078AlphaDummy018)))))).neg) ((SemanticCore.Wff.classMem (SemanticCore.Class.cv (nb078AlphaDummy024 f)) (SemanticCore.Class.cab (nb078AlphaDummy019 f) (Compiler.CompactSourceSyntax.synWrex (nb078AlphaDummy020 f) (SemanticCore.Class.cv (nb078AlphaDummy012 f)) (SemanticCore.Wff.classEq (SemanticCore.Class.cv (nb078AlphaDummy019 f)) (Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv (nb078AlphaDummy020 f))))))).imp (SemanticCore.Wff.classMem (SemanticCore.Class.cv (nb078AlphaDummy024 f)) (SemanticCore.Class.cab (nb078AlphaDummy019 f) (Compiler.CompactSourceSyntax.synWrex (nb078AlphaDummy020 f) (SemanticCore.Class.cv (nb078AlphaDummy012 f)) (SemanticCore.Wff.classEq (SemanticCore.Class.cv (nb078AlphaDummy019 f)) (Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv (nb078AlphaDummy020 f))))))).neg)

    Checked nominal proof certificate identified upstream as nb078_split_alpha_0011.

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

      Certificates from NAR4C078C001Part043.

      source
      noncomputable def NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb078SplitAlpha0012 (x y f : SemanticCore.Var) :
      Nominal.TAlphaWff [(nb078AlphaDummy018, nb078AlphaDummy020 f), (nb078AlphaDummy017, nb078AlphaDummy019 f), (nb078AlphaDummy047, nb078AlphaDummy048 f), (nb078AlphaDummy021, nb078AlphaDummy022 f), (nb078AlphaDummy010, nb078AlphaDummy013 f), (nb078AlphaDummy009, nb078AlphaDummy012 f), (nb078AlphaDummy015, nb078AlphaDummy016 f), (nb078AlphaDummy000, f), (nb078AlphaDummy004, y), (nb078AlphaDummy003, x)] ((SemanticCore.Wff.classMem (SemanticCore.Class.cv nb078AlphaDummy018) (SemanticCore.Class.cv nb078AlphaDummy010)).imp (SemanticCore.Wff.classEq (SemanticCore.Class.cv nb078AlphaDummy017) (Compiler.CompactSourceSyntax.synCun (Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv nb078AlphaDummy018)) (Compiler.CompactSourceSyntax.synCsn Compiler.CompactSourceSyntax.synC0c))).neg) ((SemanticCore.Wff.classMem (SemanticCore.Class.cv (nb078AlphaDummy020 f)) (SemanticCore.Class.cv (nb078AlphaDummy013 f))).imp (SemanticCore.Wff.classEq (SemanticCore.Class.cv (nb078AlphaDummy019 f)) (Compiler.CompactSourceSyntax.synCun (Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv (nb078AlphaDummy020 f))) (Compiler.CompactSourceSyntax.synCsn Compiler.CompactSourceSyntax.synC0c))).neg)

      Checked nominal proof certificate identified upstream as nb078_split_alpha_0012.

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

        Certificates from NAR4C078C001Part044.

        source
        noncomputable def NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb078SplitAlpha0013 (x y f : SemanticCore.Var) :
        Nominal.TAlphaWff [(nb078AlphaDummy059, nb078AlphaDummy060 f), (nb078AlphaDummy057, nb078AlphaDummy058 f), (nb078AlphaDummy011, nb078AlphaDummy014 f), (nb078AlphaDummy010, nb078AlphaDummy013 f), (nb078AlphaDummy009, nb078AlphaDummy012 f), (nb078AlphaDummy015, nb078AlphaDummy016 f), (nb078AlphaDummy000, f), (nb078AlphaDummy004, y), (nb078AlphaDummy003, x)] ((SemanticCore.Wff.classMem (SemanticCore.Class.cv nb078AlphaDummy059) (SemanticCore.Class.cab nb078AlphaDummy053 (Compiler.CompactSourceSyntax.synWrex nb078AlphaDummy054 (SemanticCore.Class.cv nb078AlphaDummy009) (SemanticCore.Wff.classEq (SemanticCore.Class.cv nb078AlphaDummy053) (Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv nb078AlphaDummy054)))))).imp (SemanticCore.Wff.classMem (SemanticCore.Class.cv nb078AlphaDummy059) (SemanticCore.Class.cab nb078AlphaDummy053 (Compiler.CompactSourceSyntax.synWrex nb078AlphaDummy054 (SemanticCore.Class.cv nb078AlphaDummy009) (SemanticCore.Wff.classEq (SemanticCore.Class.cv nb078AlphaDummy053) (Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv nb078AlphaDummy054)))))).neg) ((SemanticCore.Wff.classMem (SemanticCore.Class.cv (nb078AlphaDummy060 f)) (SemanticCore.Class.cab (nb078AlphaDummy055 f) (Compiler.CompactSourceSyntax.synWrex (nb078AlphaDummy056 f) (SemanticCore.Class.cv (nb078AlphaDummy012 f)) (SemanticCore.Wff.classEq (SemanticCore.Class.cv (nb078AlphaDummy055 f)) (Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv (nb078AlphaDummy056 f))))))).imp (SemanticCore.Wff.classMem (SemanticCore.Class.cv (nb078AlphaDummy060 f)) (SemanticCore.Class.cab (nb078AlphaDummy055 f) (Compiler.CompactSourceSyntax.synWrex (nb078AlphaDummy056 f) (SemanticCore.Class.cv (nb078AlphaDummy012 f)) (SemanticCore.Wff.classEq (SemanticCore.Class.cv (nb078AlphaDummy055 f)) (Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv (nb078AlphaDummy056 f))))))).neg)

        Checked nominal proof certificate identified upstream as nb078_split_alpha_0013.

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