NF weak partition development: NAR4H5C095M3Part037.

noncomputable def NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb095SplitAlpha0082 (x u : SemanticCore.Var) (D R S_cls : SemanticCore.Class) (f : SemanticCore.Var) (E : SemanticCore.Class) : Nominal.TAlphaWff [(nb095AlphaDummy287 D R S_cls E, nb095AlphaDummy288 x R), (nb095AlphaDummy256 D R S_cls E, nb095AlphaDummy258 x R), (nb095AlphaDummy255 D R S_cls E, nb095AlphaDummy257 x R), (nb095AlphaDummy285 D R S_cls E, nb095AlphaDummy286 x R), (nb095AlphaDummy259 D R S_cls E, nb095AlphaDummy260 x R), (nb095AlphaDummy250 D R S_cls E, nb095AlphaDummy252 x R), (nb095AlphaDummy249 D R S_cls E, nb095AlphaDummy251 x R), (nb095AlphaDummy247 D R S_cls E, nb095AlphaDummy248 x D R), (nb095AlphaDummy245 D R S_cls E, nb095AlphaDummy246 x D R), (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 (nb095AlphaDummy287 D R S_cls E)) (Compiler.CompactSourceSyntax.synCcompl (Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv (nb095AlphaDummy256 D R S_cls E))))) (SemanticCore.Wff.classMem (SemanticCore.Class.cv (nb095AlphaDummy288 x R)) (Compiler.CompactSourceSyntax.synCcompl (Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv (nb095AlphaDummy258 x R)))))

Checked nominal proof certificate identified upstream as nb095_split_alpha_0082.

Equations

• One or more equations did not get rendered due to their size.

theorem NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb095_focused_notmem_0050 (D R S_cls E : SemanticCore.Class) : nb095AlphaDummy004 D R S_cls E ∉ R.fv

theorem NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb095_wpp_notmem_1510 (D R S_cls E : SemanticCore.Class) : nb095AlphaDummy004 D R S_cls E ∉ (Compiler.CompactSourceSyntax.synCcnv (Compiler.CompactSourceSyntax.synCdif R Compiler.CompactSourceSyntax.synCid)).fv

theorem NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb095_focused_notmem_0051 (x u : SemanticCore.Var) (D R S_cls : SemanticCore.Class) (f : SemanticCore.Var) (E : SemanticCore.Class) : nb095AlphaDummy006 x u D R S_cls f E ∉ R.fv

theorem NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb095_wpp_notmem_1511 (x u : SemanticCore.Var) (D R S_cls : SemanticCore.Class) (f : SemanticCore.Var) (E : SemanticCore.Class) : nb095AlphaDummy006 x u D R S_cls f E ∉ (Compiler.CompactSourceSyntax.synCcnv (Compiler.CompactSourceSyntax.synCdif R Compiler.CompactSourceSyntax.synCid)).fv

theorem NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb095_compact_envfresh_0282 (x u : SemanticCore.Var) (D R S_cls : SemanticCore.Class) (f : SemanticCore.Var) (E : SemanticCore.Class) (dv_R_f : f ∉ R.fv) (dv_R_u : u ∉ R.fv) (dv_R_x : x ∉ R.fv) : Nominal.TEnvFresh [(nb095AlphaDummy250 D R S_cls E, nb095AlphaDummy252 x R), (nb095AlphaDummy249 D R S_cls E, nb095AlphaDummy251 x R), (nb095AlphaDummy247 D R S_cls E, nb095AlphaDummy248 x D R), (nb095AlphaDummy245 D R S_cls E, nb095AlphaDummy246 x D R), (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)] (Compiler.CompactSourceSyntax.synCcnv (Compiler.CompactSourceSyntax.synCdif R Compiler.CompactSourceSyntax.synCid)).fv