NF weak partition development: NAR4H5C095M3Part043.

noncomputable def NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb095SplitAlpha0096 (x u : SemanticCore.Var) (D R S_cls : SemanticCore.Class) (f : SemanticCore.Var) (E : SemanticCore.Class) : Nominal.TAlphaWff [(nb095AlphaDummy805 D R S_cls E, nb095AlphaDummy806 u S_cls E), (nb095AlphaDummy803 D R S_cls E, nb095AlphaDummy804 u S_cls E), (nb095AlphaDummy794 D R S_cls E, nb095AlphaDummy796 u S_cls E), (nb095AlphaDummy793 D R S_cls E, nb095AlphaDummy795 u S_cls E), (nb095AlphaDummy797 D R S_cls E, nb095AlphaDummy798 u S_cls E), (nb095AlphaDummy791 D R S_cls E, nb095AlphaDummy792 u S_cls E), (nb095AlphaDummy789 D R S_cls E, nb095AlphaDummy790 u S_cls E), (nb095AlphaDummy004 D R S_cls E, nb095AlphaDummy006 x u D R S_cls f E), (nb095AlphaDummy003 D R S_cls E, nb095AlphaDummy005 x u D R S_cls f E), (nb095AlphaDummy001 D R S_cls E, u), (nb095AlphaDummy002 D R S_cls E, x), (nb095AlphaDummy000 D R S_cls E, f)] ((SemanticCore.Wff.classMem (SemanticCore.Class.cv (nb095AlphaDummy805 D R S_cls E)) (SemanticCore.Class.cab (nb095AlphaDummy799 D R S_cls E) (Compiler.CompactSourceSyntax.synWrex (nb095AlphaDummy800 D R S_cls E) (SemanticCore.Class.cv (nb095AlphaDummy793 D R S_cls E)) (SemanticCore.Wff.classEq (SemanticCore.Class.cv (nb095AlphaDummy799 D R S_cls E)) (Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv (nb095AlphaDummy800 D R S_cls E))))))).imp (SemanticCore.Wff.classMem (SemanticCore.Class.cv (nb095AlphaDummy805 D R S_cls E)) (SemanticCore.Class.cab (nb095AlphaDummy799 D R S_cls E) (Compiler.CompactSourceSyntax.synWrex (nb095AlphaDummy800 D R S_cls E) (SemanticCore.Class.cv (nb095AlphaDummy793 D R S_cls E)) (SemanticCore.Wff.classEq (SemanticCore.Class.cv (nb095AlphaDummy799 D R S_cls E)) (Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv (nb095AlphaDummy800 D R S_cls E))))))).neg) ((SemanticCore.Wff.classMem (SemanticCore.Class.cv (nb095AlphaDummy806 u S_cls E)) (SemanticCore.Class.cab (nb095AlphaDummy801 u S_cls E) (Compiler.CompactSourceSyntax.synWrex (nb095AlphaDummy802 u S_cls E) (SemanticCore.Class.cv (nb095AlphaDummy795 u S_cls E)) (SemanticCore.Wff.classEq (SemanticCore.Class.cv (nb095AlphaDummy801 u S_cls E)) (Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv (nb095AlphaDummy802 u S_cls E))))))).imp (SemanticCore.Wff.classMem (SemanticCore.Class.cv (nb095AlphaDummy806 u S_cls E)) (SemanticCore.Class.cab (nb095AlphaDummy801 u S_cls E) (Compiler.CompactSourceSyntax.synWrex (nb095AlphaDummy802 u S_cls E) (SemanticCore.Class.cv (nb095AlphaDummy795 u S_cls E)) (SemanticCore.Wff.classEq (SemanticCore.Class.cv (nb095AlphaDummy801 u S_cls E)) (Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv (nb095AlphaDummy802 u S_cls E))))))).neg)

Checked nominal proof certificate identified upstream as nb095_split_alpha_0096.

Equations

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