NF weak partition development: NAR4C058C001Part002.
theorem
NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb058_support_mem_0035 :
nb058AlphaDummy001 ∈ (Compiler.CompactSourceSyntax.synCcompl
(SemanticCore.Class.cab nb058AlphaDummy005
(Compiler.CompactSourceSyntax.synWrex nb058AlphaDummy006 (SemanticCore.Class.cv nb058AlphaDummy000)
(SemanticCore.Wff.classEq (SemanticCore.Class.cv nb058AlphaDummy005)
(Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv nb058AlphaDummy006)))))).fv ∪ (Compiler.CompactSourceSyntax.synCcompl
(SemanticCore.Class.cab nb058AlphaDummy005
(Compiler.CompactSourceSyntax.synWrex nb058AlphaDummy006 (SemanticCore.Class.cv nb058AlphaDummy001)
(SemanticCore.Wff.classEq (SemanticCore.Class.cv nb058AlphaDummy005)
(Compiler.CompactSourceSyntax.synCun
(Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv nb058AlphaDummy006))
(Compiler.CompactSourceSyntax.synCsn Compiler.CompactSourceSyntax.synC0c)))))).fv
theorem
NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb058_support_mem_0037
(x : SemanticCore.Var)
:
nb058AlphaDummy002 x ∈ (Compiler.CompactSourceSyntax.synCcompl
(SemanticCore.Class.cab (nb058AlphaDummy007 x)
(Compiler.CompactSourceSyntax.synWrex (nb058AlphaDummy008 x) (SemanticCore.Class.cv x)
(SemanticCore.Wff.classEq (SemanticCore.Class.cv (nb058AlphaDummy007 x))
(Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv (nb058AlphaDummy008 x))))))).fv ∪ (Compiler.CompactSourceSyntax.synCcompl
(SemanticCore.Class.cab (nb058AlphaDummy007 x)
(Compiler.CompactSourceSyntax.synWrex (nb058AlphaDummy008 x) (SemanticCore.Class.cv (nb058AlphaDummy002 x))
(SemanticCore.Wff.classEq (SemanticCore.Class.cv (nb058AlphaDummy007 x))
(Compiler.CompactSourceSyntax.synCun
(Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv (nb058AlphaDummy008 x)))
(Compiler.CompactSourceSyntax.synCsn Compiler.CompactSourceSyntax.synC0c)))))).fv
theorem
NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb058_support_mem_0038 :
nb058AlphaDummy001 ∈ (SemanticCore.Class.cab nb058AlphaDummy005
(Compiler.CompactSourceSyntax.synWrex nb058AlphaDummy006 (SemanticCore.Class.cv nb058AlphaDummy001)
(SemanticCore.Wff.classEq (SemanticCore.Class.cv nb058AlphaDummy005)
(Compiler.CompactSourceSyntax.synCun
(Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv nb058AlphaDummy006))
(Compiler.CompactSourceSyntax.synCsn Compiler.CompactSourceSyntax.synC0c))))).fv ∪ (SemanticCore.Class.cab nb058AlphaDummy005
(Compiler.CompactSourceSyntax.synWrex nb058AlphaDummy006 (SemanticCore.Class.cv nb058AlphaDummy001)
(SemanticCore.Wff.classEq (SemanticCore.Class.cv nb058AlphaDummy005)
(Compiler.CompactSourceSyntax.synCun
(Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv nb058AlphaDummy006))
(Compiler.CompactSourceSyntax.synCsn Compiler.CompactSourceSyntax.synC0c))))).fv
theorem
NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb058_support_mem_0039
(x : SemanticCore.Var)
:
nb058AlphaDummy002 x ∈ (SemanticCore.Class.cab (nb058AlphaDummy007 x)
(Compiler.CompactSourceSyntax.synWrex (nb058AlphaDummy008 x) (SemanticCore.Class.cv (nb058AlphaDummy002 x))
(SemanticCore.Wff.classEq (SemanticCore.Class.cv (nb058AlphaDummy007 x))
(Compiler.CompactSourceSyntax.synCun
(Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv (nb058AlphaDummy008 x)))
(Compiler.CompactSourceSyntax.synCsn Compiler.CompactSourceSyntax.synC0c))))).fv ∪ (SemanticCore.Class.cab (nb058AlphaDummy007 x)
(Compiler.CompactSourceSyntax.synWrex (nb058AlphaDummy008 x) (SemanticCore.Class.cv (nb058AlphaDummy002 x))
(SemanticCore.Wff.classEq (SemanticCore.Class.cv (nb058AlphaDummy007 x))
(Compiler.CompactSourceSyntax.synCun
(Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv (nb058AlphaDummy008 x)))
(Compiler.CompactSourceSyntax.synCsn Compiler.CompactSourceSyntax.synC0c))))).fv
theorem
NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb058_support_mem_0044 :
nb058AlphaDummy045 ∈ (Compiler.CompactSourceSyntax.synCnin (SemanticCore.Class.cv nb058AlphaDummy045)
(Compiler.CompactSourceSyntax.synCuni (SemanticCore.Class.cv nb058AlphaDummy000))).fv ∪ (Compiler.CompactSourceSyntax.synCnin (SemanticCore.Class.cv nb058AlphaDummy045)
(Compiler.CompactSourceSyntax.synCuni (SemanticCore.Class.cv nb058AlphaDummy000))).fv
theorem
NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb058_support_mem_0045
(x : SemanticCore.Var)
:
nb058AlphaDummy046 x ∈ (Compiler.CompactSourceSyntax.synCnin (SemanticCore.Class.cv (nb058AlphaDummy046 x))
(Compiler.CompactSourceSyntax.synCuni (SemanticCore.Class.cv x))).fv ∪ (Compiler.CompactSourceSyntax.synCnin (SemanticCore.Class.cv (nb058AlphaDummy046 x))
(Compiler.CompactSourceSyntax.synCuni (SemanticCore.Class.cv x))).fv
theorem
NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb058_support_mem_0048 :
nb058AlphaDummy000 ∈ (Compiler.CompactSourceSyntax.synCnin
(Compiler.CompactSourceSyntax.synCpw
(Compiler.CompactSourceSyntax.synCuni (SemanticCore.Class.cv nb058AlphaDummy000)))
Compiler.CompactSourceSyntax.synC1c).fv ∪ (Compiler.CompactSourceSyntax.synCnin
(Compiler.CompactSourceSyntax.synCpw
(Compiler.CompactSourceSyntax.synCuni (SemanticCore.Class.cv nb058AlphaDummy000)))
Compiler.CompactSourceSyntax.synC1c).fv
theorem
NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb058_support_mem_0049
(x : SemanticCore.Var)
:
x ∈ (Compiler.CompactSourceSyntax.synCnin
(Compiler.CompactSourceSyntax.synCpw (Compiler.CompactSourceSyntax.synCuni (SemanticCore.Class.cv x)))
Compiler.CompactSourceSyntax.synC1c).fv ∪ (Compiler.CompactSourceSyntax.synCnin
(Compiler.CompactSourceSyntax.synCpw (Compiler.CompactSourceSyntax.synCuni (SemanticCore.Class.cv x)))
Compiler.CompactSourceSyntax.synC1c).fv
theorem
NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb058_support_mem_0054 :
nb058AlphaDummy000 ∈ (Compiler.CompactSourceSyntax.synCnin (SemanticCore.Class.cv nb058AlphaDummy045)
(Compiler.CompactSourceSyntax.synCuni (SemanticCore.Class.cv nb058AlphaDummy000))).fv ∪ (Compiler.CompactSourceSyntax.synCnin (SemanticCore.Class.cv nb058AlphaDummy045)
(Compiler.CompactSourceSyntax.synCuni (SemanticCore.Class.cv nb058AlphaDummy000))).fv
theorem
NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb058_support_mem_0055
(x : SemanticCore.Var)
:
x ∈ (Compiler.CompactSourceSyntax.synCnin (SemanticCore.Class.cv (nb058AlphaDummy046 x))
(Compiler.CompactSourceSyntax.synCuni (SemanticCore.Class.cv x))).fv ∪ (Compiler.CompactSourceSyntax.synCnin (SemanticCore.Class.cv (nb058AlphaDummy046 x))
(Compiler.CompactSourceSyntax.synCuni (SemanticCore.Class.cv x))).fv