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LeanPool.NFWeakPartition.NAR4H5C093M3Part002

NF weak partition development: NAR4H5C093M3Part002.

source
noncomputable def NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb093SplitAlpha0000 (A : SemanticCore.Class) (r d : SemanticCore.Var) :
Nominal.TAlphaWff [(nb093AlphaDummy009 A, nb093AlphaDummy011 r d), (nb093AlphaDummy008 A, nb093AlphaDummy010 r d), (nb093AlphaDummy038 A, nb093AlphaDummy039 r d), (nb093AlphaDummy012 A, nb093AlphaDummy013 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 (nb093AlphaDummy009 A)) (SemanticCore.Class.cv (nb093AlphaDummy000 A))).imp (SemanticCore.Wff.classEq (SemanticCore.Class.cv (nb093AlphaDummy008 A)) (Compiler.CompactSourceSyntax.synCun (Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv (nb093AlphaDummy009 A))) (Compiler.CompactSourceSyntax.synCsn Compiler.CompactSourceSyntax.synC0c))).neg) ((SemanticCore.Wff.classMem (SemanticCore.Class.cv (nb093AlphaDummy011 r d)) (SemanticCore.Class.cv d)).imp (SemanticCore.Wff.classEq (SemanticCore.Class.cv (nb093AlphaDummy010 r d)) (Compiler.CompactSourceSyntax.synCun (Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv (nb093AlphaDummy011 r d))) (Compiler.CompactSourceSyntax.synCsn Compiler.CompactSourceSyntax.synC0c))).neg)

Checked nominal proof certificate identified upstream as nb093_split_alpha_0000.

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    source
    noncomputable def NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb093SplitAlpha0001 (A : SemanticCore.Class) (r d : SemanticCore.Var) (dv_d_r : d ≠ r) :
    Nominal.TAlphaWff [(nb093AlphaDummy012 A, nb093AlphaDummy013 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 (nb093AlphaDummy012 A)) (Compiler.CompactSourceSyntax.synCcompl (SemanticCore.Class.cab (nb093AlphaDummy008 A) (Compiler.CompactSourceSyntax.synWrex (nb093AlphaDummy009 A) (SemanticCore.Class.cv (nb093AlphaDummy001 A)) (SemanticCore.Wff.classEq (SemanticCore.Class.cv (nb093AlphaDummy008 A)) (Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv (nb093AlphaDummy009 A)))))))).imp (SemanticCore.Wff.classMem (SemanticCore.Class.cv (nb093AlphaDummy012 A)) (Compiler.CompactSourceSyntax.synCcompl (SemanticCore.Class.cab (nb093AlphaDummy008 A) (Compiler.CompactSourceSyntax.synWrex (nb093AlphaDummy009 A) (SemanticCore.Class.cv (nb093AlphaDummy000 A)) (SemanticCore.Wff.classEq (SemanticCore.Class.cv (nb093AlphaDummy008 A)) (Compiler.CompactSourceSyntax.synCun (Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv (nb093AlphaDummy009 A))) (Compiler.CompactSourceSyntax.synCsn Compiler.CompactSourceSyntax.synC0c))))))).neg) ((SemanticCore.Wff.classMem (SemanticCore.Class.cv (nb093AlphaDummy013 r d)) (Compiler.CompactSourceSyntax.synCcompl (SemanticCore.Class.cab (nb093AlphaDummy010 r d) (Compiler.CompactSourceSyntax.synWrex (nb093AlphaDummy011 r d) (SemanticCore.Class.cv r) (SemanticCore.Wff.classEq (SemanticCore.Class.cv (nb093AlphaDummy010 r d)) (Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv (nb093AlphaDummy011 r d)))))))).imp (SemanticCore.Wff.classMem (SemanticCore.Class.cv (nb093AlphaDummy013 r d)) (Compiler.CompactSourceSyntax.synCcompl (SemanticCore.Class.cab (nb093AlphaDummy010 r d) (Compiler.CompactSourceSyntax.synWrex (nb093AlphaDummy011 r d) (SemanticCore.Class.cv d) (SemanticCore.Wff.classEq (SemanticCore.Class.cv (nb093AlphaDummy010 r d)) (Compiler.CompactSourceSyntax.synCun (Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv (nb093AlphaDummy011 r d))) (Compiler.CompactSourceSyntax.synCsn Compiler.CompactSourceSyntax.synC0c))))))).neg)

    Checked nominal proof certificate identified upstream as nb093_split_alpha_0001.

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