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LeanPool.NFWeakPartition.NAR4H5C093M3Part004

NF weak partition development: NAR4H5C093M3Part004.

source
noncomputable def NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb093SplitAlpha0004 (A : SemanticCore.Class) (r d : SemanticCore.Var) :
Nominal.TAlphaWff [(nb093AlphaDummy106 A, nb093AlphaDummy107 r), (nb093AlphaDummy104 A, nb093AlphaDummy105 r), (nb093AlphaDummy059 A, nb093AlphaDummy061 r), (nb093AlphaDummy058 A, nb093AlphaDummy060 r), (nb093AlphaDummy062 A, nb093AlphaDummy063 r), (nb093AlphaDummy056 A, nb093AlphaDummy057 r), (nb093AlphaDummy054 A, nb093AlphaDummy055 r), (nb093AlphaDummy052 A, nb093AlphaDummy053 r), (nb093AlphaDummy045 A, nb093AlphaDummy047 r d), (nb093AlphaDummy044 A, nb093AlphaDummy046 r d), (nb093AlphaDummy050 A, nb093AlphaDummy051 r d), (nb093AlphaDummy048 A, nb093AlphaDummy049 r d), (nb093AlphaDummy000 A, d), (nb093AlphaDummy001 A, r), (nb093AlphaDummy006 A, nb093AlphaDummy007 r d), (nb093AlphaDummy004 A, nb093AlphaDummy005 A r d), (nb093AlphaDummy002 A, nb093AlphaDummy003 A r d)] ((SemanticCore.Wff.classMem (SemanticCore.Class.cv (nb093AlphaDummy106 A)) (SemanticCore.Class.cab (nb093AlphaDummy100 A) (Compiler.CompactSourceSyntax.synWrex (nb093AlphaDummy101 A) (SemanticCore.Class.cv (nb093AlphaDummy059 A)) (SemanticCore.Wff.classEq (SemanticCore.Class.cv (nb093AlphaDummy100 A)) (Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv (nb093AlphaDummy101 A))))))).imp (SemanticCore.Wff.classMem (SemanticCore.Class.cv (nb093AlphaDummy106 A)) (SemanticCore.Class.cab (nb093AlphaDummy100 A) (Compiler.CompactSourceSyntax.synWrex (nb093AlphaDummy101 A) (SemanticCore.Class.cv (nb093AlphaDummy059 A)) (SemanticCore.Wff.classEq (SemanticCore.Class.cv (nb093AlphaDummy100 A)) (Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv (nb093AlphaDummy101 A))))))).neg) ((SemanticCore.Wff.classMem (SemanticCore.Class.cv (nb093AlphaDummy107 r)) (SemanticCore.Class.cab (nb093AlphaDummy102 r) (Compiler.CompactSourceSyntax.synWrex (nb093AlphaDummy103 r) (SemanticCore.Class.cv (nb093AlphaDummy061 r)) (SemanticCore.Wff.classEq (SemanticCore.Class.cv (nb093AlphaDummy102 r)) (Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv (nb093AlphaDummy103 r))))))).imp (SemanticCore.Wff.classMem (SemanticCore.Class.cv (nb093AlphaDummy107 r)) (SemanticCore.Class.cab (nb093AlphaDummy102 r) (Compiler.CompactSourceSyntax.synWrex (nb093AlphaDummy103 r) (SemanticCore.Class.cv (nb093AlphaDummy061 r)) (SemanticCore.Wff.classEq (SemanticCore.Class.cv (nb093AlphaDummy102 r)) (Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv (nb093AlphaDummy103 r))))))).neg)

Checked nominal proof certificate identified upstream as nb093_split_alpha_0004.

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    source
    noncomputable def NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb093SplitAlpha0005 (A : SemanticCore.Class) (r d : SemanticCore.Var) :
    Nominal.TAlphaWff [(nb093AlphaDummy134 A, nb093AlphaDummy135 r), (nb093AlphaDummy132 A, nb093AlphaDummy133 r), (nb093AlphaDummy101 A, nb093AlphaDummy103 r), (nb093AlphaDummy100 A, nb093AlphaDummy102 r), (nb093AlphaDummy130 A, nb093AlphaDummy131 r), (nb093AlphaDummy104 A, nb093AlphaDummy105 r), (nb093AlphaDummy059 A, nb093AlphaDummy061 r), (nb093AlphaDummy058 A, nb093AlphaDummy060 r), (nb093AlphaDummy062 A, nb093AlphaDummy063 r), (nb093AlphaDummy056 A, nb093AlphaDummy057 r), (nb093AlphaDummy054 A, nb093AlphaDummy055 r), (nb093AlphaDummy052 A, nb093AlphaDummy053 r), (nb093AlphaDummy045 A, nb093AlphaDummy047 r d), (nb093AlphaDummy044 A, nb093AlphaDummy046 r d), (nb093AlphaDummy050 A, nb093AlphaDummy051 r d), (nb093AlphaDummy048 A, nb093AlphaDummy049 r d), (nb093AlphaDummy000 A, d), (nb093AlphaDummy001 A, r), (nb093AlphaDummy006 A, nb093AlphaDummy007 r d), (nb093AlphaDummy004 A, nb093AlphaDummy005 A r d), (nb093AlphaDummy002 A, nb093AlphaDummy003 A r d)] ((SemanticCore.Wff.classMem (SemanticCore.Class.cv (nb093AlphaDummy134 A)) (Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv (nb093AlphaDummy101 A)))).imp (SemanticCore.Wff.classMem (SemanticCore.Class.cv (nb093AlphaDummy134 A)) (Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv (nb093AlphaDummy101 A)))).neg) ((SemanticCore.Wff.classMem (SemanticCore.Class.cv (nb093AlphaDummy135 r)) (Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv (nb093AlphaDummy103 r)))).imp (SemanticCore.Wff.classMem (SemanticCore.Class.cv (nb093AlphaDummy135 r)) (Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv (nb093AlphaDummy103 r)))).neg)

    Checked nominal proof certificate identified upstream as nb093_split_alpha_0005.

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      source
      noncomputable def NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb093SplitAlpha0006 (A : SemanticCore.Class) (r d : SemanticCore.Var) (dv_d_r : d ≠ r) :
      Nominal.TAlphaWff [(nb093AlphaDummy056 A, nb093AlphaDummy057 r), (nb093AlphaDummy054 A, nb093AlphaDummy055 r), (nb093AlphaDummy052 A, nb093AlphaDummy053 r), (nb093AlphaDummy045 A, nb093AlphaDummy047 r d), (nb093AlphaDummy044 A, nb093AlphaDummy046 r d), (nb093AlphaDummy050 A, nb093AlphaDummy051 r d), (nb093AlphaDummy048 A, nb093AlphaDummy049 r d), (nb093AlphaDummy000 A, d), (nb093AlphaDummy001 A, r), (nb093AlphaDummy006 A, nb093AlphaDummy007 r d), (nb093AlphaDummy004 A, nb093AlphaDummy005 A r d), (nb093AlphaDummy002 A, nb093AlphaDummy003 A r d)] ((SemanticCore.Wff.classMem (SemanticCore.Class.cv (nb093AlphaDummy056 A)) (Compiler.CompactSourceSyntax.synCcnv (SemanticCore.Class.cv (nb093AlphaDummy001 A)))).imp (SemanticCore.Wff.classMem (SemanticCore.Class.cv (nb093AlphaDummy056 A)) (Compiler.CompactSourceSyntax.synCcnv (SemanticCore.Class.cv (nb093AlphaDummy001 A)))).neg) ((SemanticCore.Wff.classMem (SemanticCore.Class.cv (nb093AlphaDummy057 r)) (Compiler.CompactSourceSyntax.synCcnv (SemanticCore.Class.cv r))).imp (SemanticCore.Wff.classMem (SemanticCore.Class.cv (nb093AlphaDummy057 r)) (Compiler.CompactSourceSyntax.synCcnv (SemanticCore.Class.cv r))).neg)

      Checked nominal proof certificate identified upstream as nb093_split_alpha_0006.

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