NF weak partition development: NAR4C057C001Part007.
theorem
NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb057_support_mem_0246 :
nb057AlphaDummy045 ∈ (SemanticCore.Class.cab nb057AlphaDummy202
(Compiler.CompactSourceSyntax.synWrex nb057AlphaDummy203 (SemanticCore.Class.cv nb057AlphaDummy045)
(SemanticCore.Wff.classEq (SemanticCore.Class.cv nb057AlphaDummy202)
(Compiler.CompactSourceSyntax.synCun
(Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv nb057AlphaDummy203))
(Compiler.CompactSourceSyntax.synCsn Compiler.CompactSourceSyntax.synC0c))))).fv ∪ (SemanticCore.Class.cab nb057AlphaDummy202
(Compiler.CompactSourceSyntax.synWrex nb057AlphaDummy203 (SemanticCore.Class.cv nb057AlphaDummy045)
(SemanticCore.Wff.classEq (SemanticCore.Class.cv nb057AlphaDummy202)
(Compiler.CompactSourceSyntax.synCun
(Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv nb057AlphaDummy203))
(Compiler.CompactSourceSyntax.synCsn Compiler.CompactSourceSyntax.synC0c))))).fv
theorem
NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb057_support_mem_0247
(f : SemanticCore.Var)
:
nb057AlphaDummy048 f ∈ (SemanticCore.Class.cab (nb057AlphaDummy204 f)
(Compiler.CompactSourceSyntax.synWrex (nb057AlphaDummy205 f) (SemanticCore.Class.cv (nb057AlphaDummy048 f))
(SemanticCore.Wff.classEq (SemanticCore.Class.cv (nb057AlphaDummy204 f))
(Compiler.CompactSourceSyntax.synCun
(Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv (nb057AlphaDummy205 f)))
(Compiler.CompactSourceSyntax.synCsn Compiler.CompactSourceSyntax.synC0c))))).fv ∪ (SemanticCore.Class.cab (nb057AlphaDummy204 f)
(Compiler.CompactSourceSyntax.synWrex (nb057AlphaDummy205 f) (SemanticCore.Class.cv (nb057AlphaDummy048 f))
(SemanticCore.Wff.classEq (SemanticCore.Class.cv (nb057AlphaDummy204 f))
(Compiler.CompactSourceSyntax.synCun
(Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv (nb057AlphaDummy205 f)))
(Compiler.CompactSourceSyntax.synCsn Compiler.CompactSourceSyntax.synC0c))))).fv
theorem
NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb057_support_mem_0253 :
nb057AlphaDummy239 ∈ (Compiler.CompactSourceSyntax.synCcompl
(SemanticCore.Class.cab nb057AlphaDummy242
(Compiler.CompactSourceSyntax.synWrex nb057AlphaDummy243 (SemanticCore.Class.cv nb057AlphaDummy239)
(SemanticCore.Wff.classEq (SemanticCore.Class.cv nb057AlphaDummy242)
(Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv nb057AlphaDummy243)))))).fv ∪ (Compiler.CompactSourceSyntax.synCcompl
(SemanticCore.Class.cab nb057AlphaDummy242
(Compiler.CompactSourceSyntax.synWrex nb057AlphaDummy243 (SemanticCore.Class.cv nb057AlphaDummy238)
(SemanticCore.Wff.classEq (SemanticCore.Class.cv nb057AlphaDummy242)
(Compiler.CompactSourceSyntax.synCun
(Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv nb057AlphaDummy243))
(Compiler.CompactSourceSyntax.synCsn Compiler.CompactSourceSyntax.synC0c)))))).fv
theorem
NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb057_support_mem_0255
(f : SemanticCore.Var)
:
nb057AlphaDummy241 f ∈ (Compiler.CompactSourceSyntax.synCcompl
(SemanticCore.Class.cab (nb057AlphaDummy244 f)
(Compiler.CompactSourceSyntax.synWrex (nb057AlphaDummy245 f) (SemanticCore.Class.cv (nb057AlphaDummy241 f))
(SemanticCore.Wff.classEq (SemanticCore.Class.cv (nb057AlphaDummy244 f))
(Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv (nb057AlphaDummy245 f))))))).fv ∪ (Compiler.CompactSourceSyntax.synCcompl
(SemanticCore.Class.cab (nb057AlphaDummy244 f)
(Compiler.CompactSourceSyntax.synWrex (nb057AlphaDummy245 f) (SemanticCore.Class.cv (nb057AlphaDummy240 f))
(SemanticCore.Wff.classEq (SemanticCore.Class.cv (nb057AlphaDummy244 f))
(Compiler.CompactSourceSyntax.synCun
(Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv (nb057AlphaDummy245 f)))
(Compiler.CompactSourceSyntax.synCsn Compiler.CompactSourceSyntax.synC0c)))))).fv
theorem
NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb057_support_mem_0256 :
nb057AlphaDummy239 ∈ (SemanticCore.Class.cab nb057AlphaDummy242
(Compiler.CompactSourceSyntax.synWrex nb057AlphaDummy243 (SemanticCore.Class.cv nb057AlphaDummy239)
(SemanticCore.Wff.classEq (SemanticCore.Class.cv nb057AlphaDummy242)
(Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv nb057AlphaDummy243))))).fv ∪ (SemanticCore.Class.cab nb057AlphaDummy242
(Compiler.CompactSourceSyntax.synWrex nb057AlphaDummy243 (SemanticCore.Class.cv nb057AlphaDummy239)
(SemanticCore.Wff.classEq (SemanticCore.Class.cv nb057AlphaDummy242)
(Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv nb057AlphaDummy243))))).fv
theorem
NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb057_support_mem_0257
(f : SemanticCore.Var)
:
nb057AlphaDummy241 f ∈ (SemanticCore.Class.cab (nb057AlphaDummy244 f)
(Compiler.CompactSourceSyntax.synWrex (nb057AlphaDummy245 f) (SemanticCore.Class.cv (nb057AlphaDummy241 f))
(SemanticCore.Wff.classEq (SemanticCore.Class.cv (nb057AlphaDummy244 f))
(Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv (nb057AlphaDummy245 f)))))).fv ∪ (SemanticCore.Class.cab (nb057AlphaDummy244 f)
(Compiler.CompactSourceSyntax.synWrex (nb057AlphaDummy245 f) (SemanticCore.Class.cv (nb057AlphaDummy241 f))
(SemanticCore.Wff.classEq (SemanticCore.Class.cv (nb057AlphaDummy244 f))
(Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv (nb057AlphaDummy245 f)))))).fv
theorem
NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb057_support_mem_0260 :
nb057AlphaDummy250 ∈ (SemanticCore.Wff.classMem (SemanticCore.Class.cv nb057AlphaDummy250) Compiler.CompactSourceSyntax.synCnnc).fv ∪ (Compiler.CompactSourceSyntax.synCplc (SemanticCore.Class.cv nb057AlphaDummy250)
Compiler.CompactSourceSyntax.synC1c).fv ∪ (SemanticCore.Class.cv nb057AlphaDummy250).fv
theorem
NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb057_support_mem_0261
(f : SemanticCore.Var)
:
nb057AlphaDummy252 f ∈ (SemanticCore.Wff.classMem (SemanticCore.Class.cv (nb057AlphaDummy252 f)) Compiler.CompactSourceSyntax.synCnnc).fv ∪ (Compiler.CompactSourceSyntax.synCplc (SemanticCore.Class.cv (nb057AlphaDummy252 f))
Compiler.CompactSourceSyntax.synC1c).fv ∪ (SemanticCore.Class.cv (nb057AlphaDummy252 f)).fv
theorem
NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb057_support_mem_0281 :
nb057AlphaDummy238 ∈ (Compiler.CompactSourceSyntax.synCcompl
(SemanticCore.Class.cab nb057AlphaDummy242
(Compiler.CompactSourceSyntax.synWrex nb057AlphaDummy243 (SemanticCore.Class.cv nb057AlphaDummy239)
(SemanticCore.Wff.classEq (SemanticCore.Class.cv nb057AlphaDummy242)
(Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv nb057AlphaDummy243)))))).fv ∪ (Compiler.CompactSourceSyntax.synCcompl
(SemanticCore.Class.cab nb057AlphaDummy242
(Compiler.CompactSourceSyntax.synWrex nb057AlphaDummy243 (SemanticCore.Class.cv nb057AlphaDummy238)
(SemanticCore.Wff.classEq (SemanticCore.Class.cv nb057AlphaDummy242)
(Compiler.CompactSourceSyntax.synCun
(Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv nb057AlphaDummy243))
(Compiler.CompactSourceSyntax.synCsn Compiler.CompactSourceSyntax.synC0c)))))).fv
theorem
NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb057_support_mem_0283
(f : SemanticCore.Var)
:
nb057AlphaDummy240 f ∈ (Compiler.CompactSourceSyntax.synCcompl
(SemanticCore.Class.cab (nb057AlphaDummy244 f)
(Compiler.CompactSourceSyntax.synWrex (nb057AlphaDummy245 f) (SemanticCore.Class.cv (nb057AlphaDummy241 f))
(SemanticCore.Wff.classEq (SemanticCore.Class.cv (nb057AlphaDummy244 f))
(Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv (nb057AlphaDummy245 f))))))).fv ∪ (Compiler.CompactSourceSyntax.synCcompl
(SemanticCore.Class.cab (nb057AlphaDummy244 f)
(Compiler.CompactSourceSyntax.synWrex (nb057AlphaDummy245 f) (SemanticCore.Class.cv (nb057AlphaDummy240 f))
(SemanticCore.Wff.classEq (SemanticCore.Class.cv (nb057AlphaDummy244 f))
(Compiler.CompactSourceSyntax.synCun
(Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv (nb057AlphaDummy245 f)))
(Compiler.CompactSourceSyntax.synCsn Compiler.CompactSourceSyntax.synC0c)))))).fv
theorem
NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb057_support_mem_0284 :
nb057AlphaDummy238 ∈ (SemanticCore.Class.cab nb057AlphaDummy242
(Compiler.CompactSourceSyntax.synWrex nb057AlphaDummy243 (SemanticCore.Class.cv nb057AlphaDummy238)
(SemanticCore.Wff.classEq (SemanticCore.Class.cv nb057AlphaDummy242)
(Compiler.CompactSourceSyntax.synCun
(Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv nb057AlphaDummy243))
(Compiler.CompactSourceSyntax.synCsn Compiler.CompactSourceSyntax.synC0c))))).fv ∪ (SemanticCore.Class.cab nb057AlphaDummy242
(Compiler.CompactSourceSyntax.synWrex nb057AlphaDummy243 (SemanticCore.Class.cv nb057AlphaDummy238)
(SemanticCore.Wff.classEq (SemanticCore.Class.cv nb057AlphaDummy242)
(Compiler.CompactSourceSyntax.synCun
(Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv nb057AlphaDummy243))
(Compiler.CompactSourceSyntax.synCsn Compiler.CompactSourceSyntax.synC0c))))).fv
theorem
NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb057_support_mem_0285
(f : SemanticCore.Var)
:
nb057AlphaDummy240 f ∈ (SemanticCore.Class.cab (nb057AlphaDummy244 f)
(Compiler.CompactSourceSyntax.synWrex (nb057AlphaDummy245 f) (SemanticCore.Class.cv (nb057AlphaDummy240 f))
(SemanticCore.Wff.classEq (SemanticCore.Class.cv (nb057AlphaDummy244 f))
(Compiler.CompactSourceSyntax.synCun
(Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv (nb057AlphaDummy245 f)))
(Compiler.CompactSourceSyntax.synCsn Compiler.CompactSourceSyntax.synC0c))))).fv ∪ (SemanticCore.Class.cab (nb057AlphaDummy244 f)
(Compiler.CompactSourceSyntax.synWrex (nb057AlphaDummy245 f) (SemanticCore.Class.cv (nb057AlphaDummy240 f))
(SemanticCore.Wff.classEq (SemanticCore.Class.cv (nb057AlphaDummy244 f))
(Compiler.CompactSourceSyntax.synCun
(Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv (nb057AlphaDummy245 f)))
(Compiler.CompactSourceSyntax.synCsn Compiler.CompactSourceSyntax.synC0c))))).fv