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LeanPool.NFWeakPartition.Certificates.NAR4C077C001Block005

Nominal proof certificates grouped in dependency order.

Certificates from NAR4C077C001Part015.

source
noncomputable def NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb077SplitAlpha0004 (x : SemanticCore.Var) (F I : SemanticCore.Class) :
Nominal.TAlphaWff [(nb077AlphaDummy109 F I, nb077AlphaDummy110 x), (nb077AlphaDummy107 F I, nb077AlphaDummy108 x), (nb077AlphaDummy061 F I, nb077AlphaDummy064 x), (nb077AlphaDummy060 F I, nb077AlphaDummy063 x), (nb077AlphaDummy059 F I, nb077AlphaDummy062 x), (nb077AlphaDummy065 F I, nb077AlphaDummy066 x), (nb077AlphaDummy057 F I, nb077AlphaDummy058 x F), (nb077AlphaDummy055 F I, nb077AlphaDummy056 x F), (nb077AlphaDummy016 F I, nb077AlphaDummy018 x F I), (nb077AlphaDummy015 F I, nb077AlphaDummy017 x F I), (nb077AlphaDummy013 F I, nb077AlphaDummy014 x F I), (nb077AlphaDummy011 F I, nb077AlphaDummy012 x F I), (nb077AlphaDummy001 F I, nb077AlphaDummy002 x F I), (nb077AlphaDummy004 F I, nb077AlphaDummy006 x F I), (nb077AlphaDummy003 F I, nb077AlphaDummy005 x F I)] ((SemanticCore.Wff.classMem (SemanticCore.Class.cv (nb077AlphaDummy109 F I)) (SemanticCore.Class.cab (nb077AlphaDummy103 F I) (Compiler.CompactSourceSyntax.synWrex (nb077AlphaDummy104 F I) (SemanticCore.Class.cv (nb077AlphaDummy059 F I)) (SemanticCore.Wff.classEq (SemanticCore.Class.cv (nb077AlphaDummy103 F I)) (Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv (nb077AlphaDummy104 F I))))))).imp (SemanticCore.Wff.classMem (SemanticCore.Class.cv (nb077AlphaDummy109 F I)) (SemanticCore.Class.cab (nb077AlphaDummy103 F I) (Compiler.CompactSourceSyntax.synWrex (nb077AlphaDummy104 F I) (SemanticCore.Class.cv (nb077AlphaDummy059 F I)) (SemanticCore.Wff.classEq (SemanticCore.Class.cv (nb077AlphaDummy103 F I)) (Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv (nb077AlphaDummy104 F I))))))).neg) ((SemanticCore.Wff.classMem (SemanticCore.Class.cv (nb077AlphaDummy110 x)) (SemanticCore.Class.cab (nb077AlphaDummy105 x) (Compiler.CompactSourceSyntax.synWrex (nb077AlphaDummy106 x) (SemanticCore.Class.cv (nb077AlphaDummy062 x)) (SemanticCore.Wff.classEq (SemanticCore.Class.cv (nb077AlphaDummy105 x)) (Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv (nb077AlphaDummy106 x))))))).imp (SemanticCore.Wff.classMem (SemanticCore.Class.cv (nb077AlphaDummy110 x)) (SemanticCore.Class.cab (nb077AlphaDummy105 x) (Compiler.CompactSourceSyntax.synWrex (nb077AlphaDummy106 x) (SemanticCore.Class.cv (nb077AlphaDummy062 x)) (SemanticCore.Wff.classEq (SemanticCore.Class.cv (nb077AlphaDummy105 x)) (Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv (nb077AlphaDummy106 x))))))).neg)

Checked nominal proof certificate identified upstream as nb077_split_alpha_0004.

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

    Certificates from NAR4C077C001Part016.

    source
    noncomputable def NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb077SplitAlpha0005 (x : SemanticCore.Var) (F I : SemanticCore.Class) :
    Nominal.TAlphaWff [(nb077AlphaDummy137 F I, nb077AlphaDummy138 x), (nb077AlphaDummy135 F I, nb077AlphaDummy136 x), (nb077AlphaDummy104 F I, nb077AlphaDummy106 x), (nb077AlphaDummy103 F I, nb077AlphaDummy105 x), (nb077AlphaDummy133 F I, nb077AlphaDummy134 x), (nb077AlphaDummy107 F I, nb077AlphaDummy108 x), (nb077AlphaDummy061 F I, nb077AlphaDummy064 x), (nb077AlphaDummy060 F I, nb077AlphaDummy063 x), (nb077AlphaDummy059 F I, nb077AlphaDummy062 x), (nb077AlphaDummy065 F I, nb077AlphaDummy066 x), (nb077AlphaDummy057 F I, nb077AlphaDummy058 x F), (nb077AlphaDummy055 F I, nb077AlphaDummy056 x F), (nb077AlphaDummy016 F I, nb077AlphaDummy018 x F I), (nb077AlphaDummy015 F I, nb077AlphaDummy017 x F I), (nb077AlphaDummy013 F I, nb077AlphaDummy014 x F I), (nb077AlphaDummy011 F I, nb077AlphaDummy012 x F I), (nb077AlphaDummy001 F I, nb077AlphaDummy002 x F I), (nb077AlphaDummy004 F I, nb077AlphaDummy006 x F I), (nb077AlphaDummy003 F I, nb077AlphaDummy005 x F I)] ((SemanticCore.Wff.classMem (SemanticCore.Class.cv (nb077AlphaDummy137 F I)) (Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv (nb077AlphaDummy104 F I)))).imp (SemanticCore.Wff.classMem (SemanticCore.Class.cv (nb077AlphaDummy137 F I)) (Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv (nb077AlphaDummy104 F I)))).neg) ((SemanticCore.Wff.classMem (SemanticCore.Class.cv (nb077AlphaDummy138 x)) (Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv (nb077AlphaDummy106 x)))).imp (SemanticCore.Wff.classMem (SemanticCore.Class.cv (nb077AlphaDummy138 x)) (Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv (nb077AlphaDummy106 x)))).neg)

    Checked nominal proof certificate identified upstream as nb077_split_alpha_0005.

    Equations
    • One or more equations did not get rendered due to their size.
    Instances For
      source
      theorem NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb077_compact_fv_empty_0128 (F I : SemanticCore.Class) :
      nb077AlphaDummy140 F I ∉ ∅
      source
      theorem NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb077_compact_fv_empty_0129 (x : SemanticCore.Var) :
      nb077AlphaDummy143 x ∉ ∅
      source
      theorem NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb077_compact_fv_empty_0130 (F I : SemanticCore.Class) :
      nb077AlphaDummy139 F I ∉ ∅
      source
      theorem NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb077_compact_fv_empty_0131 (x : SemanticCore.Var) :
      nb077AlphaDummy142 x ∉ ∅
      source
      theorem NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb077_compact_fv_empty_0132 (F I : SemanticCore.Class) :
      nb077AlphaDummy145 F I ∉ ∅
      source
      theorem NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb077_compact_fv_empty_0133 (x : SemanticCore.Var) :
      nb077AlphaDummy146 x ∉ ∅