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LeanPool.NFWeakPartition.Certificates.NAR4C090C001Block008

Nominal proof certificates grouped in dependency order.

Certificates from NAR4C090C001Part028.

source
noncomputable def NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb090SplitAlpha0004 (v u : SemanticCore.Var) (A : SemanticCore.Class) (h : SemanticCore.Var) :
Nominal.TAlphaWff [(nb090AlphaDummy127 A, nb090AlphaDummy128 h), (nb090AlphaDummy125 A, nb090AlphaDummy126 h), (nb090AlphaDummy094 A, nb090AlphaDummy096 h), (nb090AlphaDummy093 A, nb090AlphaDummy095 h), (nb090AlphaDummy123 A, nb090AlphaDummy124 h), (nb090AlphaDummy097 A, nb090AlphaDummy098 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 (nb090AlphaDummy127 A)) (Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv (nb090AlphaDummy094 A)))).imp (SemanticCore.Wff.classMem (SemanticCore.Class.cv (nb090AlphaDummy127 A)) (Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv (nb090AlphaDummy094 A)))).neg) ((SemanticCore.Wff.classMem (SemanticCore.Class.cv (nb090AlphaDummy128 h)) (Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv (nb090AlphaDummy096 h)))).imp (SemanticCore.Wff.classMem (SemanticCore.Class.cv (nb090AlphaDummy128 h)) (Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv (nb090AlphaDummy096 h)))).neg)

Checked nominal proof certificate identified upstream as nb090_split_alpha_0004.

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    Certificates from NAR4C090C001Part029.

    source
    noncomputable def NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb090SplitAlpha0005 (v u : SemanticCore.Var) (A : SemanticCore.Class) (h : SemanticCore.Var) :
    Nominal.TAlphaWff [(nb090AlphaDummy141 A, nb090AlphaDummy142 h), (nb090AlphaDummy139 A, nb090AlphaDummy140 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 (nb090AlphaDummy141 A)) (SemanticCore.Class.cab (nb090AlphaDummy135 A) (Compiler.CompactSourceSyntax.synWrex (nb090AlphaDummy136 A) (SemanticCore.Class.cv (nb090AlphaDummy129 A)) (SemanticCore.Wff.classEq (SemanticCore.Class.cv (nb090AlphaDummy135 A)) (Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv (nb090AlphaDummy136 A))))))).imp (SemanticCore.Wff.classMem (SemanticCore.Class.cv (nb090AlphaDummy141 A)) (SemanticCore.Class.cab (nb090AlphaDummy135 A) (Compiler.CompactSourceSyntax.synWrex (nb090AlphaDummy136 A) (SemanticCore.Class.cv (nb090AlphaDummy129 A)) (SemanticCore.Wff.classEq (SemanticCore.Class.cv (nb090AlphaDummy135 A)) (Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv (nb090AlphaDummy136 A))))))).neg) ((SemanticCore.Wff.classMem (SemanticCore.Class.cv (nb090AlphaDummy142 h)) (SemanticCore.Class.cab (nb090AlphaDummy137 h) (Compiler.CompactSourceSyntax.synWrex (nb090AlphaDummy138 h) (SemanticCore.Class.cv (nb090AlphaDummy131 h)) (SemanticCore.Wff.classEq (SemanticCore.Class.cv (nb090AlphaDummy137 h)) (Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv (nb090AlphaDummy138 h))))))).imp (SemanticCore.Wff.classMem (SemanticCore.Class.cv (nb090AlphaDummy142 h)) (SemanticCore.Class.cab (nb090AlphaDummy137 h) (Compiler.CompactSourceSyntax.synWrex (nb090AlphaDummy138 h) (SemanticCore.Class.cv (nb090AlphaDummy131 h)) (SemanticCore.Wff.classEq (SemanticCore.Class.cv (nb090AlphaDummy137 h)) (Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv (nb090AlphaDummy138 h))))))).neg)

    Checked nominal proof certificate identified upstream as nb090_split_alpha_0005.

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    Instances For

      Certificates from NAR4C090C001Part030.

      source
      noncomputable def NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb090SplitAlpha0006 (v u : SemanticCore.Var) (A : SemanticCore.Class) (h : SemanticCore.Var) :
      Nominal.TAlphaWff [(nb090AlphaDummy169 A, nb090AlphaDummy170 h), (nb090AlphaDummy167 A, nb090AlphaDummy168 h), (nb090AlphaDummy136 A, nb090AlphaDummy138 h), (nb090AlphaDummy135 A, nb090AlphaDummy137 h), (nb090AlphaDummy165 A, nb090AlphaDummy166 h), (nb090AlphaDummy139 A, nb090AlphaDummy140 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 (nb090AlphaDummy169 A)) (Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv (nb090AlphaDummy136 A)))).imp (SemanticCore.Wff.classMem (SemanticCore.Class.cv (nb090AlphaDummy169 A)) (Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv (nb090AlphaDummy136 A)))).neg) ((SemanticCore.Wff.classMem (SemanticCore.Class.cv (nb090AlphaDummy170 h)) (Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv (nb090AlphaDummy138 h)))).imp (SemanticCore.Wff.classMem (SemanticCore.Class.cv (nb090AlphaDummy170 h)) (Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv (nb090AlphaDummy138 h)))).neg)

      Checked nominal proof certificate identified upstream as nb090_split_alpha_0006.

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