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LeanPool.NFWeakPartition.Certificates.NAR4C090C001Block013

Nominal proof certificates grouped in dependency order.

Certificates from NAR4C090C001Part042.

source
noncomputable def NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb090SplitAlpha0018 (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), (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_0018.

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    Certificates from NAR4C090C001Part043.

    source
    noncomputable def NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb090SplitAlpha0019 (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), (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_0019.

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    Instances For

      Certificates from NAR4C090C001Part044.

      source
      noncomputable def NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb090SplitAlpha0020 (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), (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_0020.

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