NF weak partition development: NAR4H5C095M3Part041.

noncomputable def NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb095SplitAlpha0092 (x u : SemanticCore.Var) (D R S_cls : SemanticCore.Class) (f : SemanticCore.Var) (E : SemanticCore.Class) (dv_f_u : f ≠ u) (dv_f_x : f ≠ x) : Nominal.TAlphaWff [(nb095AlphaDummy667 D R S_cls E, nb095AlphaDummy668 x u D R S_cls f E), (nb095AlphaDummy665 D R S_cls E, nb095AlphaDummy666 x u D R S_cls f 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 (nb095AlphaDummy667 D R S_cls E)) (SemanticCore.Class.cab (nb095AlphaDummy661 D R S_cls E) (Compiler.CompactSourceSyntax.synWrex (nb095AlphaDummy662 D R S_cls E) (Compiler.CompactSourceSyntax.synCfv (SemanticCore.Class.cv (nb095AlphaDummy000 D R S_cls E)) (SemanticCore.Class.cv (nb095AlphaDummy003 D R S_cls E))) (SemanticCore.Wff.classEq (SemanticCore.Class.cv (nb095AlphaDummy661 D R S_cls E)) (Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv (nb095AlphaDummy662 D R S_cls E))))))).imp (SemanticCore.Wff.classMem (SemanticCore.Class.cv (nb095AlphaDummy667 D R S_cls E)) (SemanticCore.Class.cab (nb095AlphaDummy661 D R S_cls E) (Compiler.CompactSourceSyntax.synWrex (nb095AlphaDummy662 D R S_cls E) (Compiler.CompactSourceSyntax.synCfv (SemanticCore.Class.cv (nb095AlphaDummy000 D R S_cls E)) (SemanticCore.Class.cv (nb095AlphaDummy003 D R S_cls E))) (SemanticCore.Wff.classEq (SemanticCore.Class.cv (nb095AlphaDummy661 D R S_cls E)) (Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv (nb095AlphaDummy662 D R S_cls E))))))).neg) ((SemanticCore.Wff.classMem (SemanticCore.Class.cv (nb095AlphaDummy668 x u D R S_cls f E)) (SemanticCore.Class.cab (nb095AlphaDummy663 x u D R S_cls f E) (Compiler.CompactSourceSyntax.synWrex (nb095AlphaDummy664 x u D R S_cls f E) (Compiler.CompactSourceSyntax.synCfv (SemanticCore.Class.cv f) (SemanticCore.Class.cv (nb095AlphaDummy005 x u D R S_cls f E))) (SemanticCore.Wff.classEq (SemanticCore.Class.cv (nb095AlphaDummy663 x u D R S_cls f E)) (Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv (nb095AlphaDummy664 x u D R S_cls f E))))))).imp (SemanticCore.Wff.classMem (SemanticCore.Class.cv (nb095AlphaDummy668 x u D R S_cls f E)) (SemanticCore.Class.cab (nb095AlphaDummy663 x u D R S_cls f E) (Compiler.CompactSourceSyntax.synWrex (nb095AlphaDummy664 x u D R S_cls f E) (Compiler.CompactSourceSyntax.synCfv (SemanticCore.Class.cv f) (SemanticCore.Class.cv (nb095AlphaDummy005 x u D R S_cls f E))) (SemanticCore.Wff.classEq (SemanticCore.Class.cv (nb095AlphaDummy663 x u D R S_cls f E)) (Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv (nb095AlphaDummy664 x u D R S_cls f E))))))).neg)

Checked nominal proof certificate identified upstream as nb095_split_alpha_0092.

Equations

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