NF weak partition development: NAR4C068C001Part023.

noncomputable def NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb068SplitAlpha0031 (x y f : SemanticCore.Var) : Nominal.TAlphaWff [(nb068AlphaDummy233, nb068AlphaDummy234 f), (nb068AlphaDummy207, nb068AlphaDummy208 f), (nb068AlphaDummy047, nb068AlphaDummy050 f), (nb068AlphaDummy046, nb068AlphaDummy049 f), (nb068AlphaDummy045, nb068AlphaDummy048 f), (nb068AlphaDummy051, nb068AlphaDummy052 f), (nb068AlphaDummy043, nb068AlphaDummy044 f), (nb068AlphaDummy041, nb068AlphaDummy042 f), (nb068AlphaDummy000, f), (nb068AlphaDummy002, y), (nb068AlphaDummy001, x), (nb068AlphaDummy003, nb068AlphaDummy004 x y f)] ((SemanticCore.Wff.classMem (SemanticCore.Class.cv nb068AlphaDummy233) (SemanticCore.Class.cab nb068AlphaDummy203 (Compiler.CompactSourceSyntax.synWrex nb068AlphaDummy204 (SemanticCore.Class.cv nb068AlphaDummy046) (SemanticCore.Wff.classEq (SemanticCore.Class.cv nb068AlphaDummy203) (Compiler.CompactSourceSyntax.synCun (Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv nb068AlphaDummy204)) (Compiler.CompactSourceSyntax.synCsn Compiler.CompactSourceSyntax.synC0c)))))).imp (SemanticCore.Wff.classMem (SemanticCore.Class.cv nb068AlphaDummy233) (SemanticCore.Class.cab nb068AlphaDummy203 (Compiler.CompactSourceSyntax.synWrex nb068AlphaDummy204 (SemanticCore.Class.cv nb068AlphaDummy046) (SemanticCore.Wff.classEq (SemanticCore.Class.cv nb068AlphaDummy203) (Compiler.CompactSourceSyntax.synCun (Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv nb068AlphaDummy204)) (Compiler.CompactSourceSyntax.synCsn Compiler.CompactSourceSyntax.synC0c)))))).neg) ((SemanticCore.Wff.classMem (SemanticCore.Class.cv (nb068AlphaDummy234 f)) (SemanticCore.Class.cab (nb068AlphaDummy205 f) (Compiler.CompactSourceSyntax.synWrex (nb068AlphaDummy206 f) (SemanticCore.Class.cv (nb068AlphaDummy049 f)) (SemanticCore.Wff.classEq (SemanticCore.Class.cv (nb068AlphaDummy205 f)) (Compiler.CompactSourceSyntax.synCun (Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv (nb068AlphaDummy206 f))) (Compiler.CompactSourceSyntax.synCsn Compiler.CompactSourceSyntax.synC0c)))))).imp (SemanticCore.Wff.classMem (SemanticCore.Class.cv (nb068AlphaDummy234 f)) (SemanticCore.Class.cab (nb068AlphaDummy205 f) (Compiler.CompactSourceSyntax.synWrex (nb068AlphaDummy206 f) (SemanticCore.Class.cv (nb068AlphaDummy049 f)) (SemanticCore.Wff.classEq (SemanticCore.Class.cv (nb068AlphaDummy205 f)) (Compiler.CompactSourceSyntax.synCun (Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv (nb068AlphaDummy206 f))) (Compiler.CompactSourceSyntax.synCsn Compiler.CompactSourceSyntax.synC0c)))))).neg)

Checked nominal proof certificate identified upstream as nb068_split_alpha_0031.

Equations

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

noncomputable def NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb068SplitAlpha0032 (x y f : SemanticCore.Var) : Nominal.TAlphaWff [(nb068AlphaDummy047, nb068AlphaDummy050 f), (nb068AlphaDummy046, nb068AlphaDummy049 f), (nb068AlphaDummy045, nb068AlphaDummy048 f), (nb068AlphaDummy051, nb068AlphaDummy052 f), (nb068AlphaDummy043, nb068AlphaDummy044 f), (nb068AlphaDummy041, nb068AlphaDummy042 f), (nb068AlphaDummy000, f), (nb068AlphaDummy002, y), (nb068AlphaDummy001, x), (nb068AlphaDummy003, nb068AlphaDummy004 x y f)] ((Compiler.CompactSourceSyntax.synWbr (SemanticCore.Class.cv nb068AlphaDummy045) (Compiler.CompactSourceSyntax.synCcnv (SemanticCore.Class.cv nb068AlphaDummy000)) (SemanticCore.Class.cv nb068AlphaDummy047)).imp (Compiler.CompactSourceSyntax.synWbr (SemanticCore.Class.cv nb068AlphaDummy047) (SemanticCore.Class.cv nb068AlphaDummy000) (SemanticCore.Class.cv nb068AlphaDummy046)).neg) ((Compiler.CompactSourceSyntax.synWbr (SemanticCore.Class.cv (nb068AlphaDummy048 f)) (Compiler.CompactSourceSyntax.synCcnv (SemanticCore.Class.cv f)) (SemanticCore.Class.cv (nb068AlphaDummy050 f))).imp (Compiler.CompactSourceSyntax.synWbr (SemanticCore.Class.cv (nb068AlphaDummy050 f)) (SemanticCore.Class.cv f) (SemanticCore.Class.cv (nb068AlphaDummy049 f))).neg)

Checked nominal proof certificate identified upstream as nb068_split_alpha_0032.

Equations

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

theorem NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb068_wpp_notmem_0596 : nb068AlphaDummy043 ∉ Compiler.CompactSourceSyntax.synCid.fv

theorem NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb068_wpp_notmem_0597 (f : SemanticCore.Var) : nb068AlphaDummy044 f ∉ Compiler.CompactSourceSyntax.synCid.fv

theorem NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb068_wpp_notmem_0598 : nb068AlphaDummy041 ∉ Compiler.CompactSourceSyntax.synCid.fv

theorem NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb068_wpp_notmem_0599 (f : SemanticCore.Var) : nb068AlphaDummy042 f ∉ Compiler.CompactSourceSyntax.synCid.fv

theorem NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb068_wpp_notmem_0600 : nb068AlphaDummy000 ∉ Compiler.CompactSourceSyntax.synCid.fv

theorem NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb068_wpp_notmem_0601 (f : SemanticCore.Var) : f ∉ Compiler.CompactSourceSyntax.synCid.fv

theorem NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb068_wpp_notmem_0602 : nb068AlphaDummy002 ∉ Compiler.CompactSourceSyntax.synCid.fv

theorem NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb068_wpp_notmem_0603 (y : SemanticCore.Var) : y ∉ Compiler.CompactSourceSyntax.synCid.fv

theorem NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb068_wpp_notmem_0604 : nb068AlphaDummy001 ∉ Compiler.CompactSourceSyntax.synCid.fv

theorem NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb068_wpp_notmem_0605 (x : SemanticCore.Var) : x ∉ Compiler.CompactSourceSyntax.synCid.fv

theorem NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb068_wpp_notmem_0606 : nb068AlphaDummy003 ∉ Compiler.CompactSourceSyntax.synCid.fv

theorem NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb068_wpp_notmem_0607 (x y f : SemanticCore.Var) : nb068AlphaDummy004 x y f ∉ Compiler.CompactSourceSyntax.synCid.fv

theorem NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb068_compact_envfresh_0042 (x y f : SemanticCore.Var) : Nominal.TEnvFresh [(nb068AlphaDummy043, nb068AlphaDummy044 f), (nb068AlphaDummy041, nb068AlphaDummy042 f), (nb068AlphaDummy000, f), (nb068AlphaDummy002, y), (nb068AlphaDummy001, x), (nb068AlphaDummy003, nb068AlphaDummy004 x y f)] Compiler.CompactSourceSyntax.synCid.fv