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LeanPool.NFWeakPartition.Certificates.NAR4C090C001Block022

Nominal proof certificates grouped in dependency order.

Certificates from NAR4C090C001Part063.

source
noncomputable def NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb090SplitAlpha0041 (v u : SemanticCore.Var) (A : SemanticCore.Class) (h : SemanticCore.Var) :
Nominal.TAlphaWff [(nb090AlphaDummy501 A, nb090AlphaDummy502 h), (nb090AlphaDummy499 A, nb090AlphaDummy500 h), (nb090AlphaDummy468 A, nb090AlphaDummy470 h), (nb090AlphaDummy467 A, nb090AlphaDummy469 h), (nb090AlphaDummy497 A, nb090AlphaDummy498 h), (nb090AlphaDummy471 A, nb090AlphaDummy472 h), (nb090AlphaDummy425 A, nb090AlphaDummy428 h), (nb090AlphaDummy424 A, nb090AlphaDummy427 h), (nb090AlphaDummy423 A, nb090AlphaDummy426 h), (nb090AlphaDummy429 A, nb090AlphaDummy430 h), (nb090AlphaDummy421 A, nb090AlphaDummy422 h), (nb090AlphaDummy419 A, nb090AlphaDummy420 h), (nb090AlphaDummy000 A, h), (nb090AlphaDummy002 A, v), (nb090AlphaDummy001 A, u), (nb090AlphaDummy003 A, nb090AlphaDummy004 v u A h)] ((SemanticCore.Wff.classMem (SemanticCore.Class.cv (nb090AlphaDummy501 A)) (Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv (nb090AlphaDummy468 A)))).imp (SemanticCore.Wff.classMem (SemanticCore.Class.cv (nb090AlphaDummy501 A)) (Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv (nb090AlphaDummy468 A)))).neg) ((SemanticCore.Wff.classMem (SemanticCore.Class.cv (nb090AlphaDummy502 h)) (Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv (nb090AlphaDummy470 h)))).imp (SemanticCore.Wff.classMem (SemanticCore.Class.cv (nb090AlphaDummy502 h)) (Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv (nb090AlphaDummy470 h)))).neg)

Checked nominal proof certificate identified upstream as nb090_split_alpha_0041.

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    Certificates from NAR4C090C001Part064.

    source
    noncomputable def NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb090SplitAlpha0042 (v u : SemanticCore.Var) (A : SemanticCore.Class) (h : SemanticCore.Var) :
    Nominal.TAlphaWff [(nb090AlphaDummy515 A, nb090AlphaDummy516 h), (nb090AlphaDummy513 A, nb090AlphaDummy514 h), (nb090AlphaDummy504 A, nb090AlphaDummy506 h), (nb090AlphaDummy503 A, nb090AlphaDummy505 h), (nb090AlphaDummy507 A, nb090AlphaDummy508 h), (nb090AlphaDummy425 A, nb090AlphaDummy428 h), (nb090AlphaDummy424 A, nb090AlphaDummy427 h), (nb090AlphaDummy423 A, nb090AlphaDummy426 h), (nb090AlphaDummy429 A, nb090AlphaDummy430 h), (nb090AlphaDummy421 A, nb090AlphaDummy422 h), (nb090AlphaDummy419 A, nb090AlphaDummy420 h), (nb090AlphaDummy000 A, h), (nb090AlphaDummy002 A, v), (nb090AlphaDummy001 A, u), (nb090AlphaDummy003 A, nb090AlphaDummy004 v u A h)] ((SemanticCore.Wff.classMem (SemanticCore.Class.cv (nb090AlphaDummy515 A)) (SemanticCore.Class.cab (nb090AlphaDummy509 A) (Compiler.CompactSourceSyntax.synWrex (nb090AlphaDummy510 A) (SemanticCore.Class.cv (nb090AlphaDummy503 A)) (SemanticCore.Wff.classEq (SemanticCore.Class.cv (nb090AlphaDummy509 A)) (Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv (nb090AlphaDummy510 A))))))).imp (SemanticCore.Wff.classMem (SemanticCore.Class.cv (nb090AlphaDummy515 A)) (SemanticCore.Class.cab (nb090AlphaDummy509 A) (Compiler.CompactSourceSyntax.synWrex (nb090AlphaDummy510 A) (SemanticCore.Class.cv (nb090AlphaDummy503 A)) (SemanticCore.Wff.classEq (SemanticCore.Class.cv (nb090AlphaDummy509 A)) (Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv (nb090AlphaDummy510 A))))))).neg) ((SemanticCore.Wff.classMem (SemanticCore.Class.cv (nb090AlphaDummy516 h)) (SemanticCore.Class.cab (nb090AlphaDummy511 h) (Compiler.CompactSourceSyntax.synWrex (nb090AlphaDummy512 h) (SemanticCore.Class.cv (nb090AlphaDummy505 h)) (SemanticCore.Wff.classEq (SemanticCore.Class.cv (nb090AlphaDummy511 h)) (Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv (nb090AlphaDummy512 h))))))).imp (SemanticCore.Wff.classMem (SemanticCore.Class.cv (nb090AlphaDummy516 h)) (SemanticCore.Class.cab (nb090AlphaDummy511 h) (Compiler.CompactSourceSyntax.synWrex (nb090AlphaDummy512 h) (SemanticCore.Class.cv (nb090AlphaDummy505 h)) (SemanticCore.Wff.classEq (SemanticCore.Class.cv (nb090AlphaDummy511 h)) (Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv (nb090AlphaDummy512 h))))))).neg)

    Checked nominal proof certificate identified upstream as nb090_split_alpha_0042.

    Equations
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    Instances For

      Certificates from NAR4C090C001Part065.

      source
      noncomputable def NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb090SplitAlpha0043 (v u : SemanticCore.Var) (A : SemanticCore.Class) (h : SemanticCore.Var) :
      Nominal.TAlphaWff [(nb090AlphaDummy543 A, nb090AlphaDummy544 h), (nb090AlphaDummy541 A, nb090AlphaDummy542 h), (nb090AlphaDummy510 A, nb090AlphaDummy512 h), (nb090AlphaDummy509 A, nb090AlphaDummy511 h), (nb090AlphaDummy539 A, nb090AlphaDummy540 h), (nb090AlphaDummy513 A, nb090AlphaDummy514 h), (nb090AlphaDummy504 A, nb090AlphaDummy506 h), (nb090AlphaDummy503 A, nb090AlphaDummy505 h), (nb090AlphaDummy507 A, nb090AlphaDummy508 h), (nb090AlphaDummy425 A, nb090AlphaDummy428 h), (nb090AlphaDummy424 A, nb090AlphaDummy427 h), (nb090AlphaDummy423 A, nb090AlphaDummy426 h), (nb090AlphaDummy429 A, nb090AlphaDummy430 h), (nb090AlphaDummy421 A, nb090AlphaDummy422 h), (nb090AlphaDummy419 A, nb090AlphaDummy420 h), (nb090AlphaDummy000 A, h), (nb090AlphaDummy002 A, v), (nb090AlphaDummy001 A, u), (nb090AlphaDummy003 A, nb090AlphaDummy004 v u A h)] ((SemanticCore.Wff.classMem (SemanticCore.Class.cv (nb090AlphaDummy543 A)) (Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv (nb090AlphaDummy510 A)))).imp (SemanticCore.Wff.classMem (SemanticCore.Class.cv (nb090AlphaDummy543 A)) (Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv (nb090AlphaDummy510 A)))).neg) ((SemanticCore.Wff.classMem (SemanticCore.Class.cv (nb090AlphaDummy544 h)) (Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv (nb090AlphaDummy512 h)))).imp (SemanticCore.Wff.classMem (SemanticCore.Class.cv (nb090AlphaDummy544 h)) (Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv (nb090AlphaDummy512 h)))).neg)

      Checked nominal proof certificate identified upstream as nb090_split_alpha_0043.

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      Instances For