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LeanPool.NFWeakPartition.Certificates.NAR4C090C001Block028

Nominal proof certificates grouped in dependency order.

Certificates from NAR4C090C001Part080.

source
noncomputable def NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb090SplitAlpha0058 (v u : SemanticCore.Var) (A : SemanticCore.Class) (h : SemanticCore.Var) :
Nominal.TAlphaWff [(nb090AlphaDummy437 A, nb090AlphaDummy438 h), (nb090AlphaDummy435 A, nb090AlphaDummy436 h), (nb090AlphaDummy424 A, nb090AlphaDummy427 h), (nb090AlphaDummy423 A, nb090AlphaDummy426 h), (nb090AlphaDummy429 A, nb090AlphaDummy430 h), (nb090AlphaDummy000 A, h), (nb090AlphaDummy002 A, v), (nb090AlphaDummy001 A, u), (nb090AlphaDummy003 A, nb090AlphaDummy004 v u A h)] ((SemanticCore.Wff.classMem (SemanticCore.Class.cv (nb090AlphaDummy437 A)) (SemanticCore.Class.cab (nb090AlphaDummy431 A) (Compiler.CompactSourceSyntax.synWrex (nb090AlphaDummy432 A) (SemanticCore.Class.cv (nb090AlphaDummy423 A)) (SemanticCore.Wff.classEq (SemanticCore.Class.cv (nb090AlphaDummy431 A)) (Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv (nb090AlphaDummy432 A))))))).imp (SemanticCore.Wff.classMem (SemanticCore.Class.cv (nb090AlphaDummy437 A)) (SemanticCore.Class.cab (nb090AlphaDummy431 A) (Compiler.CompactSourceSyntax.synWrex (nb090AlphaDummy432 A) (SemanticCore.Class.cv (nb090AlphaDummy423 A)) (SemanticCore.Wff.classEq (SemanticCore.Class.cv (nb090AlphaDummy431 A)) (Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv (nb090AlphaDummy432 A))))))).neg) ((SemanticCore.Wff.classMem (SemanticCore.Class.cv (nb090AlphaDummy438 h)) (SemanticCore.Class.cab (nb090AlphaDummy433 h) (Compiler.CompactSourceSyntax.synWrex (nb090AlphaDummy434 h) (SemanticCore.Class.cv (nb090AlphaDummy426 h)) (SemanticCore.Wff.classEq (SemanticCore.Class.cv (nb090AlphaDummy433 h)) (Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv (nb090AlphaDummy434 h))))))).imp (SemanticCore.Wff.classMem (SemanticCore.Class.cv (nb090AlphaDummy438 h)) (SemanticCore.Class.cab (nb090AlphaDummy433 h) (Compiler.CompactSourceSyntax.synWrex (nb090AlphaDummy434 h) (SemanticCore.Class.cv (nb090AlphaDummy426 h)) (SemanticCore.Wff.classEq (SemanticCore.Class.cv (nb090AlphaDummy433 h)) (Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv (nb090AlphaDummy434 h))))))).neg)

Checked nominal proof certificate identified upstream as nb090_split_alpha_0058.

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    Certificates from NAR4C090C001Part081.

    source
    noncomputable def NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb090SplitAlpha0059 (v u : SemanticCore.Var) (A : SemanticCore.Class) (h : SemanticCore.Var) :
    Nominal.TAlphaWff [(nb090AlphaDummy463 A, nb090AlphaDummy464 h), (nb090AlphaDummy432 A, nb090AlphaDummy434 h), (nb090AlphaDummy431 A, nb090AlphaDummy433 h), (nb090AlphaDummy461 A, nb090AlphaDummy462 h), (nb090AlphaDummy435 A, nb090AlphaDummy436 h), (nb090AlphaDummy424 A, nb090AlphaDummy427 h), (nb090AlphaDummy423 A, nb090AlphaDummy426 h), (nb090AlphaDummy429 A, nb090AlphaDummy430 h), (nb090AlphaDummy000 A, h), (nb090AlphaDummy002 A, v), (nb090AlphaDummy001 A, u), (nb090AlphaDummy003 A, nb090AlphaDummy004 v u A h)] (Compiler.CompactSourceSyntax.synWa (SemanticCore.Wff.classMem (SemanticCore.Class.cv (nb090AlphaDummy463 A)) (Compiler.CompactSourceSyntax.synCcompl (Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv (nb090AlphaDummy432 A))))) (SemanticCore.Wff.classMem (SemanticCore.Class.cv (nb090AlphaDummy463 A)) (Compiler.CompactSourceSyntax.synCcompl (Compiler.CompactSourceSyntax.synCsn Compiler.CompactSourceSyntax.synC0c)))).neg (Compiler.CompactSourceSyntax.synWa (SemanticCore.Wff.classMem (SemanticCore.Class.cv (nb090AlphaDummy464 h)) (Compiler.CompactSourceSyntax.synCcompl (Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv (nb090AlphaDummy434 h))))) (SemanticCore.Wff.classMem (SemanticCore.Class.cv (nb090AlphaDummy464 h)) (Compiler.CompactSourceSyntax.synCcompl (Compiler.CompactSourceSyntax.synCsn Compiler.CompactSourceSyntax.synC0c)))).neg

    Checked nominal proof certificate identified upstream as nb090_split_alpha_0059.

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      Certificates from NAR4C090C001Part082.

      source
      noncomputable def NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb090SplitAlpha0060 (v u : SemanticCore.Var) (A : SemanticCore.Class) (h : SemanticCore.Var) :
      Nominal.TAlphaWff [(nb090AlphaDummy473 A, nb090AlphaDummy474 h), (nb090AlphaDummy471 A, nb090AlphaDummy472 h), (nb090AlphaDummy425 A, nb090AlphaDummy428 h), (nb090AlphaDummy424 A, nb090AlphaDummy427 h), (nb090AlphaDummy423 A, nb090AlphaDummy426 h), (nb090AlphaDummy429 A, nb090AlphaDummy430 h), (nb090AlphaDummy000 A, h), (nb090AlphaDummy002 A, v), (nb090AlphaDummy001 A, u), (nb090AlphaDummy003 A, nb090AlphaDummy004 v u A h)] ((SemanticCore.Wff.classMem (SemanticCore.Class.cv (nb090AlphaDummy473 A)) (SemanticCore.Class.cab (nb090AlphaDummy467 A) (Compiler.CompactSourceSyntax.synWrex (nb090AlphaDummy468 A) (SemanticCore.Class.cv (nb090AlphaDummy423 A)) (SemanticCore.Wff.classEq (SemanticCore.Class.cv (nb090AlphaDummy467 A)) (Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv (nb090AlphaDummy468 A))))))).imp (SemanticCore.Wff.classMem (SemanticCore.Class.cv (nb090AlphaDummy473 A)) (SemanticCore.Class.cab (nb090AlphaDummy467 A) (Compiler.CompactSourceSyntax.synWrex (nb090AlphaDummy468 A) (SemanticCore.Class.cv (nb090AlphaDummy423 A)) (SemanticCore.Wff.classEq (SemanticCore.Class.cv (nb090AlphaDummy467 A)) (Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv (nb090AlphaDummy468 A))))))).neg) ((SemanticCore.Wff.classMem (SemanticCore.Class.cv (nb090AlphaDummy474 h)) (SemanticCore.Class.cab (nb090AlphaDummy469 h) (Compiler.CompactSourceSyntax.synWrex (nb090AlphaDummy470 h) (SemanticCore.Class.cv (nb090AlphaDummy426 h)) (SemanticCore.Wff.classEq (SemanticCore.Class.cv (nb090AlphaDummy469 h)) (Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv (nb090AlphaDummy470 h))))))).imp (SemanticCore.Wff.classMem (SemanticCore.Class.cv (nb090AlphaDummy474 h)) (SemanticCore.Class.cab (nb090AlphaDummy469 h) (Compiler.CompactSourceSyntax.synWrex (nb090AlphaDummy470 h) (SemanticCore.Class.cv (nb090AlphaDummy426 h)) (SemanticCore.Wff.classEq (SemanticCore.Class.cv (nb090AlphaDummy469 h)) (Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv (nb090AlphaDummy470 h))))))).neg)

      Checked nominal proof certificate identified upstream as nb090_split_alpha_0060.

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