NF weak partition development: NAR4H5C095M3Part039.

noncomputable def NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb095WppRefl0297 (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.TReflOn [(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), (nb095AlphaDummy620 D R S_cls E, nb095AlphaDummy622 x D R), (nb095AlphaDummy619 D R S_cls E, nb095AlphaDummy621 x D R), (nb095AlphaDummy623 D R S_cls E, nb095AlphaDummy624 x D R), (nb095AlphaDummy617 D R S_cls E, nb095AlphaDummy618 x D R), (nb095AlphaDummy615 D R S_cls E, nb095AlphaDummy616 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

Checked nominal proof certificate identified upstream as nb095_wpp_refl_0297.

Equations

• NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb095WppRefl0297 x u D R S_cls f E dv_R_f dv_R_u dv_R_x = ⋯.reflOn

noncomputable def NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb095SplitAlpha0089 (x u : SemanticCore.Var) (D R S_cls : SemanticCore.Class) (f : SemanticCore.Var) (E : SemanticCore.Class) (dv_D_f : f ∉ D.fv) (dv_D_u : u ∉ D.fv) (dv_D_x : x ∉ D.fv) (dv_R_f : f ∉ R.fv) (dv_R_u : u ∉ R.fv) (dv_R_x : x ∉ R.fv) (dv_u_x : u ≠ x) : Nominal.TAlphaWff [(nb095AlphaDummy620 D R S_cls E, nb095AlphaDummy622 x D R), (nb095AlphaDummy619 D R S_cls E, nb095AlphaDummy621 x D R), (nb095AlphaDummy623 D R S_cls E, nb095AlphaDummy624 x D R), (nb095AlphaDummy617 D R S_cls E, nb095AlphaDummy618 x D R), (nb095AlphaDummy615 D R S_cls E, nb095AlphaDummy616 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 (nb095AlphaDummy619 D R S_cls E)) (Compiler.CompactSourceSyntax.synCin D (Compiler.CompactSourceSyntax.synCima (Compiler.CompactSourceSyntax.synCcnv (Compiler.CompactSourceSyntax.synCdif R Compiler.CompactSourceSyntax.synCid)) (Compiler.CompactSourceSyntax.synCsn (SemanticCore.Class.cv (nb095AlphaDummy002 D R S_cls E)))))).imp (SemanticCore.Wff.classMem (SemanticCore.Class.cv (nb095AlphaDummy620 D R S_cls E)) (Compiler.CompactSourceSyntax.synCin D (Compiler.CompactSourceSyntax.synCima (Compiler.CompactSourceSyntax.synCcnv (Compiler.CompactSourceSyntax.synCdif R Compiler.CompactSourceSyntax.synCid)) (Compiler.CompactSourceSyntax.synCsn (SemanticCore.Class.cv (nb095AlphaDummy002 D R S_cls E)))))).neg) ((SemanticCore.Wff.classMem (SemanticCore.Class.cv (nb095AlphaDummy621 x D R)) (Compiler.CompactSourceSyntax.synCin D (Compiler.CompactSourceSyntax.synCima (Compiler.CompactSourceSyntax.synCcnv (Compiler.CompactSourceSyntax.synCdif R Compiler.CompactSourceSyntax.synCid)) (Compiler.CompactSourceSyntax.synCsn (SemanticCore.Class.cv x))))).imp (SemanticCore.Wff.classMem (SemanticCore.Class.cv (nb095AlphaDummy622 x D R)) (Compiler.CompactSourceSyntax.synCin D (Compiler.CompactSourceSyntax.synCima (Compiler.CompactSourceSyntax.synCcnv (Compiler.CompactSourceSyntax.synCdif R Compiler.CompactSourceSyntax.synCid)) (Compiler.CompactSourceSyntax.synCsn (SemanticCore.Class.cv x))))).neg)

Checked nominal proof certificate identified upstream as nb095_split_alpha_0089.

Equations

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