Documentation

LeanPool.NFWeakPartition.AlphaSupport.NAR4C057C001Part017Stage1

NF weak partition development: NAR4C057C001Part017.

source
noncomputable def NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb057CompositionVariableOccurrence (f a : SemanticCore.Var) (dv_a_f : a ≠ f) :
Nominal.TAlphaClass [(nb057AlphaDummy046, nb057AlphaDummy049 f), (nb057AlphaDummy045, nb057AlphaDummy048 f), (nb057AlphaDummy044, nb057AlphaDummy047 f), (nb057AlphaDummy050, nb057AlphaDummy051 f), (nb057AlphaDummy042, nb057AlphaDummy043 f), (nb057AlphaDummy040, nb057AlphaDummy041 f), (nb057AlphaDummy000, a), (nb057AlphaDummy001, f), (nb057AlphaDummy002, nb057AlphaDummy003 f a)] (SemanticCore.Class.cv nb057AlphaDummy001) (SemanticCore.Class.cv f)

Checked nominal proof certificate identified upstream as nb057_composition_variable_occurrence.

Equations
  • One or more equations did not get rendered due to their size.
Instances For
    source
    noncomputable def NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb057SplitAlpha0031 (f a : SemanticCore.Var) (dv_a_f : a ≠ f) :
    Nominal.TAlphaWff [(nb057AlphaDummy046, nb057AlphaDummy049 f), (nb057AlphaDummy045, nb057AlphaDummy048 f), (nb057AlphaDummy044, nb057AlphaDummy047 f), (nb057AlphaDummy050, nb057AlphaDummy051 f), (nb057AlphaDummy042, nb057AlphaDummy043 f), (nb057AlphaDummy040, nb057AlphaDummy041 f), (nb057AlphaDummy000, a), (nb057AlphaDummy001, f), (nb057AlphaDummy002, nb057AlphaDummy003 f a)] ((Compiler.CompactSourceSyntax.synWbr (SemanticCore.Class.cv nb057AlphaDummy044) (Compiler.CompactSourceSyntax.synCcnv (SemanticCore.Class.cv nb057AlphaDummy001)) (SemanticCore.Class.cv nb057AlphaDummy046)).imp (Compiler.CompactSourceSyntax.synWbr (SemanticCore.Class.cv nb057AlphaDummy046) (SemanticCore.Class.cv nb057AlphaDummy001) (SemanticCore.Class.cv nb057AlphaDummy045)).neg) ((Compiler.CompactSourceSyntax.synWbr (SemanticCore.Class.cv (nb057AlphaDummy047 f)) (Compiler.CompactSourceSyntax.synCcnv (SemanticCore.Class.cv f)) (SemanticCore.Class.cv (nb057AlphaDummy049 f))).imp (Compiler.CompactSourceSyntax.synWbr (SemanticCore.Class.cv (nb057AlphaDummy049 f)) (SemanticCore.Class.cv f) (SemanticCore.Class.cv (nb057AlphaDummy048 f))).neg)

    Checked nominal proof certificate identified upstream as nb057_split_alpha_0031.

    Equations
    • One or more equations did not get rendered due to their size.
    Instances For
      source
      theorem NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb057_wpp_notmem_0588 :
      nb057AlphaDummy042 ∉ Compiler.CompactSourceSyntax.synCid.fv
      source
      theorem NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb057_wpp_notmem_0589 (f : SemanticCore.Var) :
      nb057AlphaDummy043 f ∉ Compiler.CompactSourceSyntax.synCid.fv
      source
      theorem NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb057_wpp_notmem_0590 :
      nb057AlphaDummy040 ∉ Compiler.CompactSourceSyntax.synCid.fv
      source
      theorem NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb057_wpp_notmem_0591 (f : SemanticCore.Var) :
      nb057AlphaDummy041 f ∉ Compiler.CompactSourceSyntax.synCid.fv
      source
      theorem NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb057_wpp_notmem_0592 :
      nb057AlphaDummy000 ∉ Compiler.CompactSourceSyntax.synCid.fv
      source
      theorem NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb057_wpp_notmem_0593 (a : SemanticCore.Var) :
      a ∉ Compiler.CompactSourceSyntax.synCid.fv
      source
      theorem NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb057_wpp_notmem_0594 :
      nb057AlphaDummy001 ∉ Compiler.CompactSourceSyntax.synCid.fv
      source
      theorem NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb057_wpp_notmem_0595 (f : SemanticCore.Var) :
      f ∉ Compiler.CompactSourceSyntax.synCid.fv
      source
      theorem NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb057_wpp_notmem_0596 :
      nb057AlphaDummy002 ∉ Compiler.CompactSourceSyntax.synCid.fv
      source
      theorem NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb057_wpp_notmem_0597 (f a : SemanticCore.Var) :
      nb057AlphaDummy003 f a ∉ Compiler.CompactSourceSyntax.synCid.fv
      source
      theorem NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb057_compact_envfresh_0042 (f a : SemanticCore.Var) :
      Nominal.TEnvFresh [(nb057AlphaDummy042, nb057AlphaDummy043 f), (nb057AlphaDummy040, nb057AlphaDummy041 f), (nb057AlphaDummy000, a), (nb057AlphaDummy001, f), (nb057AlphaDummy002, nb057AlphaDummy003 f a)] Compiler.CompactSourceSyntax.synCid.fv