Documentation

LeanPool.NFWeakPartition.Certificates.NAR4C090C001Block009

Nominal proof certificates grouped in dependency order.

Certificates from NAR4C090C001Part031.

source
noncomputable def NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb090SplitAlpha0007 (v u : SemanticCore.Var) (A : SemanticCore.Class) (h : SemanticCore.Var) :
Nominal.TAlphaWff [(nb090AlphaDummy177 A, nb090AlphaDummy178 h), (nb090AlphaDummy175 A, nb090AlphaDummy176 h), (nb090AlphaDummy130 A, nb090AlphaDummy132 h), (nb090AlphaDummy129 A, nb090AlphaDummy131 h), (nb090AlphaDummy133 A, nb090AlphaDummy134 h), (nb090AlphaDummy051 A, nb090AlphaDummy054 h), (nb090AlphaDummy050 A, nb090AlphaDummy053 h), (nb090AlphaDummy049 A, nb090AlphaDummy052 h), (nb090AlphaDummy055 A, nb090AlphaDummy056 h), (nb090AlphaDummy047 A, nb090AlphaDummy048 h), (nb090AlphaDummy045 A, nb090AlphaDummy046 h), (nb090AlphaDummy000 A, h), (nb090AlphaDummy002 A, v), (nb090AlphaDummy001 A, u), (nb090AlphaDummy003 A, nb090AlphaDummy004 v u A h)] ((SemanticCore.Wff.classMem (SemanticCore.Class.cv (nb090AlphaDummy177 A)) (SemanticCore.Class.cab (nb090AlphaDummy171 A) (Compiler.CompactSourceSyntax.synWrex (nb090AlphaDummy172 A) (SemanticCore.Class.cv (nb090AlphaDummy130 A)) (SemanticCore.Wff.classEq (SemanticCore.Class.cv (nb090AlphaDummy171 A)) (Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv (nb090AlphaDummy172 A))))))).imp (SemanticCore.Wff.classMem (SemanticCore.Class.cv (nb090AlphaDummy177 A)) (SemanticCore.Class.cab (nb090AlphaDummy171 A) (Compiler.CompactSourceSyntax.synWrex (nb090AlphaDummy172 A) (SemanticCore.Class.cv (nb090AlphaDummy130 A)) (SemanticCore.Wff.classEq (SemanticCore.Class.cv (nb090AlphaDummy171 A)) (Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv (nb090AlphaDummy172 A))))))).neg) ((SemanticCore.Wff.classMem (SemanticCore.Class.cv (nb090AlphaDummy178 h)) (SemanticCore.Class.cab (nb090AlphaDummy173 h) (Compiler.CompactSourceSyntax.synWrex (nb090AlphaDummy174 h) (SemanticCore.Class.cv (nb090AlphaDummy132 h)) (SemanticCore.Wff.classEq (SemanticCore.Class.cv (nb090AlphaDummy173 h)) (Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv (nb090AlphaDummy174 h))))))).imp (SemanticCore.Wff.classMem (SemanticCore.Class.cv (nb090AlphaDummy178 h)) (SemanticCore.Class.cab (nb090AlphaDummy173 h) (Compiler.CompactSourceSyntax.synWrex (nb090AlphaDummy174 h) (SemanticCore.Class.cv (nb090AlphaDummy132 h)) (SemanticCore.Wff.classEq (SemanticCore.Class.cv (nb090AlphaDummy173 h)) (Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv (nb090AlphaDummy174 h))))))).neg)

Checked nominal proof certificate identified upstream as nb090_split_alpha_0007.

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

    Certificates from NAR4C090C001Part032.

    source
    noncomputable def NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb090SplitAlpha0008 (v u : SemanticCore.Var) (A : SemanticCore.Class) (h : SemanticCore.Var) :
    Nominal.TAlphaWff [(nb090AlphaDummy205 A, nb090AlphaDummy206 h), (nb090AlphaDummy203 A, nb090AlphaDummy204 h), (nb090AlphaDummy172 A, nb090AlphaDummy174 h), (nb090AlphaDummy171 A, nb090AlphaDummy173 h), (nb090AlphaDummy201 A, nb090AlphaDummy202 h), (nb090AlphaDummy175 A, nb090AlphaDummy176 h), (nb090AlphaDummy130 A, nb090AlphaDummy132 h), (nb090AlphaDummy129 A, nb090AlphaDummy131 h), (nb090AlphaDummy133 A, nb090AlphaDummy134 h), (nb090AlphaDummy051 A, nb090AlphaDummy054 h), (nb090AlphaDummy050 A, nb090AlphaDummy053 h), (nb090AlphaDummy049 A, nb090AlphaDummy052 h), (nb090AlphaDummy055 A, nb090AlphaDummy056 h), (nb090AlphaDummy047 A, nb090AlphaDummy048 h), (nb090AlphaDummy045 A, nb090AlphaDummy046 h), (nb090AlphaDummy000 A, h), (nb090AlphaDummy002 A, v), (nb090AlphaDummy001 A, u), (nb090AlphaDummy003 A, nb090AlphaDummy004 v u A h)] ((SemanticCore.Wff.classMem (SemanticCore.Class.cv (nb090AlphaDummy205 A)) (Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv (nb090AlphaDummy172 A)))).imp (SemanticCore.Wff.classMem (SemanticCore.Class.cv (nb090AlphaDummy205 A)) (Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv (nb090AlphaDummy172 A)))).neg) ((SemanticCore.Wff.classMem (SemanticCore.Class.cv (nb090AlphaDummy206 h)) (Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv (nb090AlphaDummy174 h)))).imp (SemanticCore.Wff.classMem (SemanticCore.Class.cv (nb090AlphaDummy206 h)) (Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv (nb090AlphaDummy174 h)))).neg)

    Checked nominal proof certificate identified upstream as nb090_split_alpha_0008.

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

      Certificates from NAR4C090C001Part033.

      source
      noncomputable def NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb090SplitAlpha0009 (v u : SemanticCore.Var) (A : SemanticCore.Class) (h : SemanticCore.Var) :
      Nominal.TAlphaWff [(nb090AlphaDummy213 A, nb090AlphaDummy214 h), (nb090AlphaDummy211 A, nb090AlphaDummy212 h), (nb090AlphaDummy051 A, nb090AlphaDummy054 h), (nb090AlphaDummy050 A, nb090AlphaDummy053 h), (nb090AlphaDummy049 A, nb090AlphaDummy052 h), (nb090AlphaDummy055 A, nb090AlphaDummy056 h), (nb090AlphaDummy047 A, nb090AlphaDummy048 h), (nb090AlphaDummy045 A, nb090AlphaDummy046 h), (nb090AlphaDummy000 A, h), (nb090AlphaDummy002 A, v), (nb090AlphaDummy001 A, u), (nb090AlphaDummy003 A, nb090AlphaDummy004 v u A h)] ((SemanticCore.Wff.classMem (SemanticCore.Class.cv (nb090AlphaDummy213 A)) (SemanticCore.Class.cab (nb090AlphaDummy207 A) (Compiler.CompactSourceSyntax.synWrex (nb090AlphaDummy208 A) (SemanticCore.Class.cv (nb090AlphaDummy051 A)) (SemanticCore.Wff.classEq (SemanticCore.Class.cv (nb090AlphaDummy207 A)) (Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv (nb090AlphaDummy208 A))))))).imp (SemanticCore.Wff.classMem (SemanticCore.Class.cv (nb090AlphaDummy213 A)) (SemanticCore.Class.cab (nb090AlphaDummy207 A) (Compiler.CompactSourceSyntax.synWrex (nb090AlphaDummy208 A) (SemanticCore.Class.cv (nb090AlphaDummy051 A)) (SemanticCore.Wff.classEq (SemanticCore.Class.cv (nb090AlphaDummy207 A)) (Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv (nb090AlphaDummy208 A))))))).neg) ((SemanticCore.Wff.classMem (SemanticCore.Class.cv (nb090AlphaDummy214 h)) (SemanticCore.Class.cab (nb090AlphaDummy209 h) (Compiler.CompactSourceSyntax.synWrex (nb090AlphaDummy210 h) (SemanticCore.Class.cv (nb090AlphaDummy054 h)) (SemanticCore.Wff.classEq (SemanticCore.Class.cv (nb090AlphaDummy209 h)) (Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv (nb090AlphaDummy210 h))))))).imp (SemanticCore.Wff.classMem (SemanticCore.Class.cv (nb090AlphaDummy214 h)) (SemanticCore.Class.cab (nb090AlphaDummy209 h) (Compiler.CompactSourceSyntax.synWrex (nb090AlphaDummy210 h) (SemanticCore.Class.cv (nb090AlphaDummy054 h)) (SemanticCore.Wff.classEq (SemanticCore.Class.cv (nb090AlphaDummy209 h)) (Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv (nb090AlphaDummy210 h))))))).neg)

      Checked nominal proof certificate identified upstream as nb090_split_alpha_0009.

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