Nominal proof certificates grouped in dependency order.

Certificates from NAR4C090C001Part054.

noncomputable def NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb090SplitAlpha0031 (v u : SemanticCore.Var) (A : SemanticCore.Class) (h : SemanticCore.Var) : Nominal.TAlphaWff [(nb090AlphaDummy343 A, nb090AlphaDummy344 h), (nb090AlphaDummy341 A, nb090AlphaDummy342 h), (nb090AlphaDummy334 A, nb090AlphaDummy336 h), (nb090AlphaDummy333 A, nb090AlphaDummy335 h), (nb090AlphaDummy331 A, nb090AlphaDummy332 v h), (nb090AlphaDummy329 A, nb090AlphaDummy330 v h), (nb090AlphaDummy000 A, h), (nb090AlphaDummy002 A, v), (nb090AlphaDummy001 A, u), (nb090AlphaDummy003 A, nb090AlphaDummy004 v u A h)] ((SemanticCore.Wff.classMem (SemanticCore.Class.cv (nb090AlphaDummy343 A)) (SemanticCore.Class.cab (nb090AlphaDummy337 A) (Compiler.CompactSourceSyntax.synWrex (nb090AlphaDummy338 A) (SemanticCore.Class.cv (nb090AlphaDummy334 A)) (SemanticCore.Wff.classEq (SemanticCore.Class.cv (nb090AlphaDummy337 A)) (Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv (nb090AlphaDummy338 A))))))).imp (SemanticCore.Wff.classMem (SemanticCore.Class.cv (nb090AlphaDummy343 A)) (SemanticCore.Class.cab (nb090AlphaDummy337 A) (Compiler.CompactSourceSyntax.synWrex (nb090AlphaDummy338 A) (SemanticCore.Class.cv (nb090AlphaDummy334 A)) (SemanticCore.Wff.classEq (SemanticCore.Class.cv (nb090AlphaDummy337 A)) (Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv (nb090AlphaDummy338 A))))))).neg) ((SemanticCore.Wff.classMem (SemanticCore.Class.cv (nb090AlphaDummy344 h)) (SemanticCore.Class.cab (nb090AlphaDummy339 h) (Compiler.CompactSourceSyntax.synWrex (nb090AlphaDummy340 h) (SemanticCore.Class.cv (nb090AlphaDummy336 h)) (SemanticCore.Wff.classEq (SemanticCore.Class.cv (nb090AlphaDummy339 h)) (Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv (nb090AlphaDummy340 h))))))).imp (SemanticCore.Wff.classMem (SemanticCore.Class.cv (nb090AlphaDummy344 h)) (SemanticCore.Class.cab (nb090AlphaDummy339 h) (Compiler.CompactSourceSyntax.synWrex (nb090AlphaDummy340 h) (SemanticCore.Class.cv (nb090AlphaDummy336 h)) (SemanticCore.Wff.classEq (SemanticCore.Class.cv (nb090AlphaDummy339 h)) (Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv (nb090AlphaDummy340 h))))))).neg)

Checked nominal proof certificate identified upstream as nb090_split_alpha_0031.

Equations

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

Certificates from NAR4C090C001Part055.

noncomputable def NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb090SplitAlpha0032 (v u : SemanticCore.Var) (A : SemanticCore.Class) (h : SemanticCore.Var) : Nominal.TAlphaWff [(nb090AlphaDummy369 A, nb090AlphaDummy370 h), (nb090AlphaDummy338 A, nb090AlphaDummy340 h), (nb090AlphaDummy337 A, nb090AlphaDummy339 h), (nb090AlphaDummy367 A, nb090AlphaDummy368 h), (nb090AlphaDummy341 A, nb090AlphaDummy342 h), (nb090AlphaDummy334 A, nb090AlphaDummy336 h), (nb090AlphaDummy333 A, nb090AlphaDummy335 h), (nb090AlphaDummy331 A, nb090AlphaDummy332 v h), (nb090AlphaDummy329 A, nb090AlphaDummy330 v h), (nb090AlphaDummy000 A, h), (nb090AlphaDummy002 A, v), (nb090AlphaDummy001 A, u), (nb090AlphaDummy003 A, nb090AlphaDummy004 v u A h)] ((SemanticCore.Wff.classMem (SemanticCore.Class.cv (nb090AlphaDummy369 A)) (Compiler.CompactSourceSyntax.synCcompl (Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv (nb090AlphaDummy338 A))))).imp (SemanticCore.Wff.classMem (SemanticCore.Class.cv (nb090AlphaDummy369 A)) (Compiler.CompactSourceSyntax.synCcompl (Compiler.CompactSourceSyntax.synCsn Compiler.CompactSourceSyntax.synC0c))).neg) ((SemanticCore.Wff.classMem (SemanticCore.Class.cv (nb090AlphaDummy370 h)) (Compiler.CompactSourceSyntax.synCcompl (Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv (nb090AlphaDummy340 h))))).imp (SemanticCore.Wff.classMem (SemanticCore.Class.cv (nb090AlphaDummy370 h)) (Compiler.CompactSourceSyntax.synCcompl (Compiler.CompactSourceSyntax.synCsn Compiler.CompactSourceSyntax.synC0c))).neg)

Checked nominal proof certificate identified upstream as nb090_split_alpha_0032.

Equations

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

theorem NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb090_compact_fv_empty_0300 (A : SemanticCore.Class) : nb090AlphaDummy373 A ∉ ∅

theorem NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb090_compact_fv_empty_0301 (v : SemanticCore.Var) : nb090AlphaDummy374 v ∉ ∅

theorem NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb090_compact_fv_empty_0302 (A : SemanticCore.Class) : nb090AlphaDummy375 A ∉ ∅

theorem NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb090_compact_fv_empty_0303 (v : SemanticCore.Var) : nb090AlphaDummy376 v ∉ ∅

theorem NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb090_compact_fv_empty_0304 (A : SemanticCore.Class) : nb090AlphaDummy378 A ∉ ∅

theorem NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb090_compact_fv_empty_0305 (v : SemanticCore.Var) : nb090AlphaDummy380 v ∉ ∅

theorem NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb090_compact_fv_empty_0306 (A : SemanticCore.Class) : nb090AlphaDummy377 A ∉ ∅

theorem NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb090_compact_fv_empty_0307 (v : SemanticCore.Var) : nb090AlphaDummy379 v ∉ ∅