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LeanPool.NFWeakPartition.NAR4H5C091M3BPart007

NF weak partition development: NAR4H5C091M3BPart007.

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noncomputable def NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb091WppRefl0033 (D R : SemanticCore.Class) (p : SemanticCore.Var) (dv_R_p : p ∉ R.fv) :
Nominal.TReflOn [(nb091AlphaDummy106 D R, nb091AlphaDummy108 R p), (nb091AlphaDummy105 D R, nb091AlphaDummy107 R p), (nb091AlphaDummy103 D R, nb091AlphaDummy104 D R p), (nb091AlphaDummy101 D R, nb091AlphaDummy102 D R p), (nb091AlphaDummy048 D R, nb091AlphaDummy050 D R p), (nb091AlphaDummy047 D R, nb091AlphaDummy049 D R p), (nb091AlphaDummy177 D R, nb091AlphaDummy178 D R p), (nb091AlphaDummy051 D R, nb091AlphaDummy052 D R p), (nb091AlphaDummy045 D R, nb091AlphaDummy046 D R p), (nb091AlphaDummy042 D R, nb091AlphaDummy044 D R p), (nb091AlphaDummy041 D R, nb091AlphaDummy043 D R p), (nb091AlphaDummy001 D R, nb091AlphaDummy002 D R p), (nb091AlphaDummy000 D R, p), (nb091AlphaDummy003 D R, nb091AlphaDummy004 D R p)] (Compiler.CompactSourceSyntax.synCcnv (Compiler.CompactSourceSyntax.synCdif R Compiler.CompactSourceSyntax.synCid)).fv

Checked nominal proof certificate identified upstream as nb091_wpp_refl_0033.

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    noncomputable def NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb091SplitAlpha0011 (D R : SemanticCore.Class) (p : SemanticCore.Var) :
    Nominal.TAlphaWff [(nb091AlphaDummy048 D R, nb091AlphaDummy050 D R p), (nb091AlphaDummy047 D R, nb091AlphaDummy049 D R p), (nb091AlphaDummy177 D R, nb091AlphaDummy178 D R p), (nb091AlphaDummy051 D R, nb091AlphaDummy052 D R p), (nb091AlphaDummy045 D R, nb091AlphaDummy046 D R p), (nb091AlphaDummy042 D R, nb091AlphaDummy044 D R p), (nb091AlphaDummy041 D R, nb091AlphaDummy043 D R p), (nb091AlphaDummy001 D R, nb091AlphaDummy002 D R p), (nb091AlphaDummy000 D R, p), (nb091AlphaDummy003 D R, nb091AlphaDummy004 D R p)] (SemanticCore.Wff.classEq (SemanticCore.Class.cv (nb091AlphaDummy047 D R)) (Compiler.CompactSourceSyntax.synCun (Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv (nb091AlphaDummy048 D R))) (Compiler.CompactSourceSyntax.synCsn Compiler.CompactSourceSyntax.synC0c))) (SemanticCore.Wff.classEq (SemanticCore.Class.cv (nb091AlphaDummy049 D R p)) (Compiler.CompactSourceSyntax.synCun (Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv (nb091AlphaDummy050 D R p))) (Compiler.CompactSourceSyntax.synCsn Compiler.CompactSourceSyntax.synC0c)))

    Checked nominal proof certificate identified upstream as nb091_split_alpha_0011.

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      noncomputable def NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb091SplitAlpha0012 (D R : SemanticCore.Class) (p : SemanticCore.Var) (dv_D_p : p ∉ D.fv) (dv_R_p : p ∉ R.fv) :
      Nominal.TAlphaWff [(nb091AlphaDummy177 D R, nb091AlphaDummy178 D R p), (nb091AlphaDummy051 D R, nb091AlphaDummy052 D R p), (nb091AlphaDummy045 D R, nb091AlphaDummy046 D R p), (nb091AlphaDummy042 D R, nb091AlphaDummy044 D R p), (nb091AlphaDummy041 D R, nb091AlphaDummy043 D R p), (nb091AlphaDummy001 D R, nb091AlphaDummy002 D R p), (nb091AlphaDummy000 D R, p), (nb091AlphaDummy003 D R, nb091AlphaDummy004 D R p)] ((SemanticCore.Wff.classMem (SemanticCore.Class.cv (nb091AlphaDummy177 D R)) (SemanticCore.Class.cab (nb091AlphaDummy047 D R) (Compiler.CompactSourceSyntax.synWrex (nb091AlphaDummy048 D R) (Compiler.CompactSourceSyntax.synCin D (Compiler.CompactSourceSyntax.synCima (Compiler.CompactSourceSyntax.synCcnv (Compiler.CompactSourceSyntax.synCdif R Compiler.CompactSourceSyntax.synCid)) (Compiler.CompactSourceSyntax.synCsn (Compiler.CompactSourceSyntax.synCuni (Compiler.CompactSourceSyntax.synCuni (SemanticCore.Class.cv (nb091AlphaDummy000 D R))))))) (SemanticCore.Wff.classEq (SemanticCore.Class.cv (nb091AlphaDummy047 D R)) (Compiler.CompactSourceSyntax.synCun (Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv (nb091AlphaDummy048 D R))) (Compiler.CompactSourceSyntax.synCsn Compiler.CompactSourceSyntax.synC0c)))))).imp (SemanticCore.Wff.classMem (SemanticCore.Class.cv (nb091AlphaDummy177 D R)) (SemanticCore.Class.cab (nb091AlphaDummy047 D R) (Compiler.CompactSourceSyntax.synWrex (nb091AlphaDummy048 D R) (Compiler.CompactSourceSyntax.synCin D (Compiler.CompactSourceSyntax.synCima (Compiler.CompactSourceSyntax.synCcnv (Compiler.CompactSourceSyntax.synCdif R Compiler.CompactSourceSyntax.synCid)) (Compiler.CompactSourceSyntax.synCsn (Compiler.CompactSourceSyntax.synCuni (Compiler.CompactSourceSyntax.synCuni (SemanticCore.Class.cv (nb091AlphaDummy000 D R))))))) (SemanticCore.Wff.classEq (SemanticCore.Class.cv (nb091AlphaDummy047 D R)) (Compiler.CompactSourceSyntax.synCun (Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv (nb091AlphaDummy048 D R))) (Compiler.CompactSourceSyntax.synCsn Compiler.CompactSourceSyntax.synC0c)))))).neg) ((SemanticCore.Wff.classMem (SemanticCore.Class.cv (nb091AlphaDummy178 D R p)) (SemanticCore.Class.cab (nb091AlphaDummy049 D R p) (Compiler.CompactSourceSyntax.synWrex (nb091AlphaDummy050 D R p) (Compiler.CompactSourceSyntax.synCin D (Compiler.CompactSourceSyntax.synCima (Compiler.CompactSourceSyntax.synCcnv (Compiler.CompactSourceSyntax.synCdif R Compiler.CompactSourceSyntax.synCid)) (Compiler.CompactSourceSyntax.synCsn (Compiler.CompactSourceSyntax.synCuni (Compiler.CompactSourceSyntax.synCuni (SemanticCore.Class.cv p)))))) (SemanticCore.Wff.classEq (SemanticCore.Class.cv (nb091AlphaDummy049 D R p)) (Compiler.CompactSourceSyntax.synCun (Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv (nb091AlphaDummy050 D R p))) (Compiler.CompactSourceSyntax.synCsn Compiler.CompactSourceSyntax.synC0c)))))).imp (SemanticCore.Wff.classMem (SemanticCore.Class.cv (nb091AlphaDummy178 D R p)) (SemanticCore.Class.cab (nb091AlphaDummy049 D R p) (Compiler.CompactSourceSyntax.synWrex (nb091AlphaDummy050 D R p) (Compiler.CompactSourceSyntax.synCin D (Compiler.CompactSourceSyntax.synCima (Compiler.CompactSourceSyntax.synCcnv (Compiler.CompactSourceSyntax.synCdif R Compiler.CompactSourceSyntax.synCid)) (Compiler.CompactSourceSyntax.synCsn (Compiler.CompactSourceSyntax.synCuni (Compiler.CompactSourceSyntax.synCuni (SemanticCore.Class.cv p)))))) (SemanticCore.Wff.classEq (SemanticCore.Class.cv (nb091AlphaDummy049 D R p)) (Compiler.CompactSourceSyntax.synCun (Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv (nb091AlphaDummy050 D R p))) (Compiler.CompactSourceSyntax.synCsn Compiler.CompactSourceSyntax.synC0c)))))).neg)

      Checked nominal proof certificate identified upstream as nb091_split_alpha_0012.

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