Documentation

LeanPool.NFWeakPartition.Certificates.NAR4C077C001Block013

Nominal proof certificates grouped in dependency order.

Certificates from NAR4C077C001Part037.

source
noncomputable def NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb077SplitAlpha0023 (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), (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_0023.

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

    Certificates from NAR4C077C001Part038.

    source
    noncomputable def NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb077SplitAlpha0024 (x : SemanticCore.Var) (F I : SemanticCore.Class) :
    Nominal.TAlphaWff [(nb077AlphaDummy153 F I, nb077AlphaDummy154 x), (nb077AlphaDummy151 F I, nb077AlphaDummy152 x), (nb077AlphaDummy140 F I, nb077AlphaDummy143 x), (nb077AlphaDummy139 F I, nb077AlphaDummy142 x), (nb077AlphaDummy145 F I, nb077AlphaDummy146 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), (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 (nb077AlphaDummy153 F I)) (SemanticCore.Class.cab (nb077AlphaDummy147 F I) (Compiler.CompactSourceSyntax.synWrex (nb077AlphaDummy148 F I) (SemanticCore.Class.cv (nb077AlphaDummy139 F I)) (SemanticCore.Wff.classEq (SemanticCore.Class.cv (nb077AlphaDummy147 F I)) (Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv (nb077AlphaDummy148 F I))))))).imp (SemanticCore.Wff.classMem (SemanticCore.Class.cv (nb077AlphaDummy153 F I)) (SemanticCore.Class.cab (nb077AlphaDummy147 F I) (Compiler.CompactSourceSyntax.synWrex (nb077AlphaDummy148 F I) (SemanticCore.Class.cv (nb077AlphaDummy139 F I)) (SemanticCore.Wff.classEq (SemanticCore.Class.cv (nb077AlphaDummy147 F I)) (Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv (nb077AlphaDummy148 F I))))))).neg) ((SemanticCore.Wff.classMem (SemanticCore.Class.cv (nb077AlphaDummy154 x)) (SemanticCore.Class.cab (nb077AlphaDummy149 x) (Compiler.CompactSourceSyntax.synWrex (nb077AlphaDummy150 x) (SemanticCore.Class.cv (nb077AlphaDummy142 x)) (SemanticCore.Wff.classEq (SemanticCore.Class.cv (nb077AlphaDummy149 x)) (Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv (nb077AlphaDummy150 x))))))).imp (SemanticCore.Wff.classMem (SemanticCore.Class.cv (nb077AlphaDummy154 x)) (SemanticCore.Class.cab (nb077AlphaDummy149 x) (Compiler.CompactSourceSyntax.synWrex (nb077AlphaDummy150 x) (SemanticCore.Class.cv (nb077AlphaDummy142 x)) (SemanticCore.Wff.classEq (SemanticCore.Class.cv (nb077AlphaDummy149 x)) (Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv (nb077AlphaDummy150 x))))))).neg)

    Checked nominal proof certificate identified upstream as nb077_split_alpha_0024.

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

      Certificates from NAR4C077C001Part039.

      source
      noncomputable def NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb077SplitAlpha0025 (x : SemanticCore.Var) (F I : SemanticCore.Class) :
      Nominal.TAlphaWff [(nb077AlphaDummy181 F I, nb077AlphaDummy182 x), (nb077AlphaDummy179 F I, nb077AlphaDummy180 x), (nb077AlphaDummy148 F I, nb077AlphaDummy150 x), (nb077AlphaDummy147 F I, nb077AlphaDummy149 x), (nb077AlphaDummy177 F I, nb077AlphaDummy178 x), (nb077AlphaDummy151 F I, nb077AlphaDummy152 x), (nb077AlphaDummy140 F I, nb077AlphaDummy143 x), (nb077AlphaDummy139 F I, nb077AlphaDummy142 x), (nb077AlphaDummy145 F I, nb077AlphaDummy146 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), (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 (nb077AlphaDummy181 F I)) (Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv (nb077AlphaDummy148 F I)))).imp (SemanticCore.Wff.classMem (SemanticCore.Class.cv (nb077AlphaDummy181 F I)) (Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv (nb077AlphaDummy148 F I)))).neg) ((SemanticCore.Wff.classMem (SemanticCore.Class.cv (nb077AlphaDummy182 x)) (Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv (nb077AlphaDummy150 x)))).imp (SemanticCore.Wff.classMem (SemanticCore.Class.cv (nb077AlphaDummy182 x)) (Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv (nb077AlphaDummy150 x)))).neg)

      Checked nominal proof certificate identified upstream as nb077_split_alpha_0025.

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