Nominal proof certificates grouped in dependency order.
Certificates from NAR4C068C001Part010.
theorem
NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb068_support_mem_0077
(f : SemanticCore.Var)
:
nb068AlphaDummy049 f ∈ (Compiler.CompactSourceSyntax.synCcompl
(SemanticCore.Class.cab (nb068AlphaDummy055 f)
(Compiler.CompactSourceSyntax.synWrex (nb068AlphaDummy056 f) (SemanticCore.Class.cv (nb068AlphaDummy048 f))
(SemanticCore.Wff.classEq (SemanticCore.Class.cv (nb068AlphaDummy055 f))
(Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv (nb068AlphaDummy056 f))))))).fv ∪ (Compiler.CompactSourceSyntax.synCcompl
(SemanticCore.Class.cab (nb068AlphaDummy055 f)
(Compiler.CompactSourceSyntax.synWrex (nb068AlphaDummy056 f) (SemanticCore.Class.cv (nb068AlphaDummy049 f))
(SemanticCore.Wff.classEq (SemanticCore.Class.cv (nb068AlphaDummy055 f))
(Compiler.CompactSourceSyntax.synCun
(Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv (nb068AlphaDummy056 f)))
(Compiler.CompactSourceSyntax.synCsn Compiler.CompactSourceSyntax.synC0c)))))).fv
theorem
NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb068_support_mem_0078 :
nb068AlphaDummy046 ∈ (SemanticCore.Class.cab nb068AlphaDummy053
(Compiler.CompactSourceSyntax.synWrex nb068AlphaDummy054 (SemanticCore.Class.cv nb068AlphaDummy046)
(SemanticCore.Wff.classEq (SemanticCore.Class.cv nb068AlphaDummy053)
(Compiler.CompactSourceSyntax.synCun
(Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv nb068AlphaDummy054))
(Compiler.CompactSourceSyntax.synCsn Compiler.CompactSourceSyntax.synC0c))))).fv ∪ (SemanticCore.Class.cab nb068AlphaDummy053
(Compiler.CompactSourceSyntax.synWrex nb068AlphaDummy054 (SemanticCore.Class.cv nb068AlphaDummy046)
(SemanticCore.Wff.classEq (SemanticCore.Class.cv nb068AlphaDummy053)
(Compiler.CompactSourceSyntax.synCun
(Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv nb068AlphaDummy054))
(Compiler.CompactSourceSyntax.synCsn Compiler.CompactSourceSyntax.synC0c))))).fv
theorem
NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb068_support_mem_0079
(f : SemanticCore.Var)
:
nb068AlphaDummy049 f ∈ (SemanticCore.Class.cab (nb068AlphaDummy055 f)
(Compiler.CompactSourceSyntax.synWrex (nb068AlphaDummy056 f) (SemanticCore.Class.cv (nb068AlphaDummy049 f))
(SemanticCore.Wff.classEq (SemanticCore.Class.cv (nb068AlphaDummy055 f))
(Compiler.CompactSourceSyntax.synCun
(Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv (nb068AlphaDummy056 f)))
(Compiler.CompactSourceSyntax.synCsn Compiler.CompactSourceSyntax.synC0c))))).fv ∪ (SemanticCore.Class.cab (nb068AlphaDummy055 f)
(Compiler.CompactSourceSyntax.synWrex (nb068AlphaDummy056 f) (SemanticCore.Class.cv (nb068AlphaDummy049 f))
(SemanticCore.Wff.classEq (SemanticCore.Class.cv (nb068AlphaDummy055 f))
(Compiler.CompactSourceSyntax.synCun
(Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv (nb068AlphaDummy056 f)))
(Compiler.CompactSourceSyntax.synCsn Compiler.CompactSourceSyntax.synC0c))))).fv
theorem
NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb068_support_mem_0085 :
nb068AlphaDummy045 ∈ (Compiler.CompactSourceSyntax.synCcompl
(SemanticCore.Class.cab nb068AlphaDummy089
(Compiler.CompactSourceSyntax.synWrex nb068AlphaDummy090 (SemanticCore.Class.cv nb068AlphaDummy045)
(SemanticCore.Wff.classEq (SemanticCore.Class.cv nb068AlphaDummy089)
(Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv nb068AlphaDummy090)))))).fv ∪ (Compiler.CompactSourceSyntax.synCcompl
(SemanticCore.Class.cab nb068AlphaDummy089
(Compiler.CompactSourceSyntax.synWrex nb068AlphaDummy090 (SemanticCore.Class.cv nb068AlphaDummy047)
(SemanticCore.Wff.classEq (SemanticCore.Class.cv nb068AlphaDummy089)
(Compiler.CompactSourceSyntax.synCun
(Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv nb068AlphaDummy090))
(Compiler.CompactSourceSyntax.synCsn Compiler.CompactSourceSyntax.synC0c)))))).fv
theorem
NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb068_support_mem_0087
(f : SemanticCore.Var)
:
nb068AlphaDummy048 f ∈ (Compiler.CompactSourceSyntax.synCcompl
(SemanticCore.Class.cab (nb068AlphaDummy091 f)
(Compiler.CompactSourceSyntax.synWrex (nb068AlphaDummy092 f) (SemanticCore.Class.cv (nb068AlphaDummy048 f))
(SemanticCore.Wff.classEq (SemanticCore.Class.cv (nb068AlphaDummy091 f))
(Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv (nb068AlphaDummy092 f))))))).fv ∪ (Compiler.CompactSourceSyntax.synCcompl
(SemanticCore.Class.cab (nb068AlphaDummy091 f)
(Compiler.CompactSourceSyntax.synWrex (nb068AlphaDummy092 f) (SemanticCore.Class.cv (nb068AlphaDummy050 f))
(SemanticCore.Wff.classEq (SemanticCore.Class.cv (nb068AlphaDummy091 f))
(Compiler.CompactSourceSyntax.synCun
(Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv (nb068AlphaDummy092 f)))
(Compiler.CompactSourceSyntax.synCsn Compiler.CompactSourceSyntax.synC0c)))))).fv
theorem
NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb068_support_mem_0088 :
nb068AlphaDummy045 ∈ (SemanticCore.Class.cab nb068AlphaDummy089
(Compiler.CompactSourceSyntax.synWrex nb068AlphaDummy090 (SemanticCore.Class.cv nb068AlphaDummy045)
(SemanticCore.Wff.classEq (SemanticCore.Class.cv nb068AlphaDummy089)
(Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv nb068AlphaDummy090))))).fv ∪ (SemanticCore.Class.cab nb068AlphaDummy089
(Compiler.CompactSourceSyntax.synWrex nb068AlphaDummy090 (SemanticCore.Class.cv nb068AlphaDummy045)
(SemanticCore.Wff.classEq (SemanticCore.Class.cv nb068AlphaDummy089)
(Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv nb068AlphaDummy090))))).fv
theorem
NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb068_support_mem_0089
(f : SemanticCore.Var)
:
nb068AlphaDummy048 f ∈ (SemanticCore.Class.cab (nb068AlphaDummy091 f)
(Compiler.CompactSourceSyntax.synWrex (nb068AlphaDummy092 f) (SemanticCore.Class.cv (nb068AlphaDummy048 f))
(SemanticCore.Wff.classEq (SemanticCore.Class.cv (nb068AlphaDummy091 f))
(Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv (nb068AlphaDummy092 f)))))).fv ∪ (SemanticCore.Class.cab (nb068AlphaDummy091 f)
(Compiler.CompactSourceSyntax.synWrex (nb068AlphaDummy092 f) (SemanticCore.Class.cv (nb068AlphaDummy048 f))
(SemanticCore.Wff.classEq (SemanticCore.Class.cv (nb068AlphaDummy091 f))
(Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv (nb068AlphaDummy092 f)))))).fv
theorem
NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb068_support_mem_0092 :
nb068AlphaDummy097 ∈ (SemanticCore.Wff.classMem (SemanticCore.Class.cv nb068AlphaDummy097) Compiler.CompactSourceSyntax.synCnnc).fv ∪ (Compiler.CompactSourceSyntax.synCplc (SemanticCore.Class.cv nb068AlphaDummy097)
Compiler.CompactSourceSyntax.synC1c).fv ∪ (SemanticCore.Class.cv nb068AlphaDummy097).fv
theorem
NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb068_support_mem_0093
(f : SemanticCore.Var)
:
nb068AlphaDummy099 f ∈ (SemanticCore.Wff.classMem (SemanticCore.Class.cv (nb068AlphaDummy099 f)) Compiler.CompactSourceSyntax.synCnnc).fv ∪ (Compiler.CompactSourceSyntax.synCplc (SemanticCore.Class.cv (nb068AlphaDummy099 f))
Compiler.CompactSourceSyntax.synC1c).fv ∪ (SemanticCore.Class.cv (nb068AlphaDummy099 f)).fv
theorem
NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb068_support_mem_0113 :
nb068AlphaDummy047 ∈ (Compiler.CompactSourceSyntax.synCcompl
(SemanticCore.Class.cab nb068AlphaDummy089
(Compiler.CompactSourceSyntax.synWrex nb068AlphaDummy090 (SemanticCore.Class.cv nb068AlphaDummy045)
(SemanticCore.Wff.classEq (SemanticCore.Class.cv nb068AlphaDummy089)
(Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv nb068AlphaDummy090)))))).fv ∪ (Compiler.CompactSourceSyntax.synCcompl
(SemanticCore.Class.cab nb068AlphaDummy089
(Compiler.CompactSourceSyntax.synWrex nb068AlphaDummy090 (SemanticCore.Class.cv nb068AlphaDummy047)
(SemanticCore.Wff.classEq (SemanticCore.Class.cv nb068AlphaDummy089)
(Compiler.CompactSourceSyntax.synCun
(Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv nb068AlphaDummy090))
(Compiler.CompactSourceSyntax.synCsn Compiler.CompactSourceSyntax.synC0c)))))).fv
theorem
NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb068_support_mem_0115
(f : SemanticCore.Var)
:
nb068AlphaDummy050 f ∈ (Compiler.CompactSourceSyntax.synCcompl
(SemanticCore.Class.cab (nb068AlphaDummy091 f)
(Compiler.CompactSourceSyntax.synWrex (nb068AlphaDummy092 f) (SemanticCore.Class.cv (nb068AlphaDummy048 f))
(SemanticCore.Wff.classEq (SemanticCore.Class.cv (nb068AlphaDummy091 f))
(Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv (nb068AlphaDummy092 f))))))).fv ∪ (Compiler.CompactSourceSyntax.synCcompl
(SemanticCore.Class.cab (nb068AlphaDummy091 f)
(Compiler.CompactSourceSyntax.synWrex (nb068AlphaDummy092 f) (SemanticCore.Class.cv (nb068AlphaDummy050 f))
(SemanticCore.Wff.classEq (SemanticCore.Class.cv (nb068AlphaDummy091 f))
(Compiler.CompactSourceSyntax.synCun
(Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv (nb068AlphaDummy092 f)))
(Compiler.CompactSourceSyntax.synCsn Compiler.CompactSourceSyntax.synC0c)))))).fv
theorem
NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb068_support_mem_0116 :
nb068AlphaDummy047 ∈ (SemanticCore.Class.cab nb068AlphaDummy089
(Compiler.CompactSourceSyntax.synWrex nb068AlphaDummy090 (SemanticCore.Class.cv nb068AlphaDummy047)
(SemanticCore.Wff.classEq (SemanticCore.Class.cv nb068AlphaDummy089)
(Compiler.CompactSourceSyntax.synCun
(Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv nb068AlphaDummy090))
(Compiler.CompactSourceSyntax.synCsn Compiler.CompactSourceSyntax.synC0c))))).fv ∪ (SemanticCore.Class.cab nb068AlphaDummy089
(Compiler.CompactSourceSyntax.synWrex nb068AlphaDummy090 (SemanticCore.Class.cv nb068AlphaDummy047)
(SemanticCore.Wff.classEq (SemanticCore.Class.cv nb068AlphaDummy089)
(Compiler.CompactSourceSyntax.synCun
(Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv nb068AlphaDummy090))
(Compiler.CompactSourceSyntax.synCsn Compiler.CompactSourceSyntax.synC0c))))).fv
theorem
NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb068_support_mem_0117
(f : SemanticCore.Var)
:
nb068AlphaDummy050 f ∈ (SemanticCore.Class.cab (nb068AlphaDummy091 f)
(Compiler.CompactSourceSyntax.synWrex (nb068AlphaDummy092 f) (SemanticCore.Class.cv (nb068AlphaDummy050 f))
(SemanticCore.Wff.classEq (SemanticCore.Class.cv (nb068AlphaDummy091 f))
(Compiler.CompactSourceSyntax.synCun
(Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv (nb068AlphaDummy092 f)))
(Compiler.CompactSourceSyntax.synCsn Compiler.CompactSourceSyntax.synC0c))))).fv ∪ (SemanticCore.Class.cab (nb068AlphaDummy091 f)
(Compiler.CompactSourceSyntax.synWrex (nb068AlphaDummy092 f) (SemanticCore.Class.cv (nb068AlphaDummy050 f))
(SemanticCore.Wff.classEq (SemanticCore.Class.cv (nb068AlphaDummy091 f))
(Compiler.CompactSourceSyntax.synCun
(Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv (nb068AlphaDummy092 f)))
(Compiler.CompactSourceSyntax.synCsn Compiler.CompactSourceSyntax.synC0c))))).fv
theorem
NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb068_support_mem_0127 :
nb068AlphaDummy125 ∈ (Compiler.CompactSourceSyntax.synCcompl
(SemanticCore.Class.cab nb068AlphaDummy131
(Compiler.CompactSourceSyntax.synWrex nb068AlphaDummy132 (SemanticCore.Class.cv nb068AlphaDummy125)
(SemanticCore.Wff.classEq (SemanticCore.Class.cv nb068AlphaDummy131)
(Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv nb068AlphaDummy132)))))).fv ∪ (Compiler.CompactSourceSyntax.synCcompl
(SemanticCore.Class.cab nb068AlphaDummy131
(Compiler.CompactSourceSyntax.synWrex nb068AlphaDummy132 (SemanticCore.Class.cv nb068AlphaDummy126)
(SemanticCore.Wff.classEq (SemanticCore.Class.cv nb068AlphaDummy131)
(Compiler.CompactSourceSyntax.synCun
(Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv nb068AlphaDummy132))
(Compiler.CompactSourceSyntax.synCsn Compiler.CompactSourceSyntax.synC0c)))))).fv
theorem
NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb068_support_mem_0129
(f : SemanticCore.Var)
:
nb068AlphaDummy127 f ∈ (Compiler.CompactSourceSyntax.synCcompl
(SemanticCore.Class.cab (nb068AlphaDummy133 f)
(Compiler.CompactSourceSyntax.synWrex (nb068AlphaDummy134 f) (SemanticCore.Class.cv (nb068AlphaDummy127 f))
(SemanticCore.Wff.classEq (SemanticCore.Class.cv (nb068AlphaDummy133 f))
(Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv (nb068AlphaDummy134 f))))))).fv ∪ (Compiler.CompactSourceSyntax.synCcompl
(SemanticCore.Class.cab (nb068AlphaDummy133 f)
(Compiler.CompactSourceSyntax.synWrex (nb068AlphaDummy134 f) (SemanticCore.Class.cv (nb068AlphaDummy128 f))
(SemanticCore.Wff.classEq (SemanticCore.Class.cv (nb068AlphaDummy133 f))
(Compiler.CompactSourceSyntax.synCun
(Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv (nb068AlphaDummy134 f)))
(Compiler.CompactSourceSyntax.synCsn Compiler.CompactSourceSyntax.synC0c)))))).fv
theorem
NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb068_support_mem_0130 :
nb068AlphaDummy125 ∈ (SemanticCore.Class.cab nb068AlphaDummy131
(Compiler.CompactSourceSyntax.synWrex nb068AlphaDummy132 (SemanticCore.Class.cv nb068AlphaDummy125)
(SemanticCore.Wff.classEq (SemanticCore.Class.cv nb068AlphaDummy131)
(Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv nb068AlphaDummy132))))).fv ∪ (SemanticCore.Class.cab nb068AlphaDummy131
(Compiler.CompactSourceSyntax.synWrex nb068AlphaDummy132 (SemanticCore.Class.cv nb068AlphaDummy125)
(SemanticCore.Wff.classEq (SemanticCore.Class.cv nb068AlphaDummy131)
(Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv nb068AlphaDummy132))))).fv
theorem
NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb068_support_mem_0131
(f : SemanticCore.Var)
:
nb068AlphaDummy127 f ∈ (SemanticCore.Class.cab (nb068AlphaDummy133 f)
(Compiler.CompactSourceSyntax.synWrex (nb068AlphaDummy134 f) (SemanticCore.Class.cv (nb068AlphaDummy127 f))
(SemanticCore.Wff.classEq (SemanticCore.Class.cv (nb068AlphaDummy133 f))
(Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv (nb068AlphaDummy134 f)))))).fv ∪ (SemanticCore.Class.cab (nb068AlphaDummy133 f)
(Compiler.CompactSourceSyntax.synWrex (nb068AlphaDummy134 f) (SemanticCore.Class.cv (nb068AlphaDummy127 f))
(SemanticCore.Wff.classEq (SemanticCore.Class.cv (nb068AlphaDummy133 f))
(Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv (nb068AlphaDummy134 f)))))).fv
theorem
NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb068_support_mem_0134 :
nb068AlphaDummy139 ∈ (SemanticCore.Wff.classMem (SemanticCore.Class.cv nb068AlphaDummy139) Compiler.CompactSourceSyntax.synCnnc).fv ∪ (Compiler.CompactSourceSyntax.synCplc (SemanticCore.Class.cv nb068AlphaDummy139)
Compiler.CompactSourceSyntax.synC1c).fv ∪ (SemanticCore.Class.cv nb068AlphaDummy139).fv
theorem
NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb068_support_mem_0135
(f : SemanticCore.Var)
:
nb068AlphaDummy141 f ∈ (SemanticCore.Wff.classMem (SemanticCore.Class.cv (nb068AlphaDummy141 f)) Compiler.CompactSourceSyntax.synCnnc).fv ∪ (Compiler.CompactSourceSyntax.synCplc (SemanticCore.Class.cv (nb068AlphaDummy141 f))
Compiler.CompactSourceSyntax.synC1c).fv ∪ (SemanticCore.Class.cv (nb068AlphaDummy141 f)).fv
theorem
NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb068_support_mem_0155 :
nb068AlphaDummy126 ∈ (Compiler.CompactSourceSyntax.synCcompl
(SemanticCore.Class.cab nb068AlphaDummy131
(Compiler.CompactSourceSyntax.synWrex nb068AlphaDummy132 (SemanticCore.Class.cv nb068AlphaDummy125)
(SemanticCore.Wff.classEq (SemanticCore.Class.cv nb068AlphaDummy131)
(Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv nb068AlphaDummy132)))))).fv ∪ (Compiler.CompactSourceSyntax.synCcompl
(SemanticCore.Class.cab nb068AlphaDummy131
(Compiler.CompactSourceSyntax.synWrex nb068AlphaDummy132 (SemanticCore.Class.cv nb068AlphaDummy126)
(SemanticCore.Wff.classEq (SemanticCore.Class.cv nb068AlphaDummy131)
(Compiler.CompactSourceSyntax.synCun
(Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv nb068AlphaDummy132))
(Compiler.CompactSourceSyntax.synCsn Compiler.CompactSourceSyntax.synC0c)))))).fv
theorem
NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb068_support_mem_0157
(f : SemanticCore.Var)
:
nb068AlphaDummy128 f ∈ (Compiler.CompactSourceSyntax.synCcompl
(SemanticCore.Class.cab (nb068AlphaDummy133 f)
(Compiler.CompactSourceSyntax.synWrex (nb068AlphaDummy134 f) (SemanticCore.Class.cv (nb068AlphaDummy127 f))
(SemanticCore.Wff.classEq (SemanticCore.Class.cv (nb068AlphaDummy133 f))
(Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv (nb068AlphaDummy134 f))))))).fv ∪ (Compiler.CompactSourceSyntax.synCcompl
(SemanticCore.Class.cab (nb068AlphaDummy133 f)
(Compiler.CompactSourceSyntax.synWrex (nb068AlphaDummy134 f) (SemanticCore.Class.cv (nb068AlphaDummy128 f))
(SemanticCore.Wff.classEq (SemanticCore.Class.cv (nb068AlphaDummy133 f))
(Compiler.CompactSourceSyntax.synCun
(Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv (nb068AlphaDummy134 f)))
(Compiler.CompactSourceSyntax.synCsn Compiler.CompactSourceSyntax.synC0c)))))).fv
theorem
NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb068_support_mem_0158 :
nb068AlphaDummy126 ∈ (SemanticCore.Class.cab nb068AlphaDummy131
(Compiler.CompactSourceSyntax.synWrex nb068AlphaDummy132 (SemanticCore.Class.cv nb068AlphaDummy126)
(SemanticCore.Wff.classEq (SemanticCore.Class.cv nb068AlphaDummy131)
(Compiler.CompactSourceSyntax.synCun
(Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv nb068AlphaDummy132))
(Compiler.CompactSourceSyntax.synCsn Compiler.CompactSourceSyntax.synC0c))))).fv ∪ (SemanticCore.Class.cab nb068AlphaDummy131
(Compiler.CompactSourceSyntax.synWrex nb068AlphaDummy132 (SemanticCore.Class.cv nb068AlphaDummy126)
(SemanticCore.Wff.classEq (SemanticCore.Class.cv nb068AlphaDummy131)
(Compiler.CompactSourceSyntax.synCun
(Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv nb068AlphaDummy132))
(Compiler.CompactSourceSyntax.synCsn Compiler.CompactSourceSyntax.synC0c))))).fv
theorem
NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb068_support_mem_0159
(f : SemanticCore.Var)
:
nb068AlphaDummy128 f ∈ (SemanticCore.Class.cab (nb068AlphaDummy133 f)
(Compiler.CompactSourceSyntax.synWrex (nb068AlphaDummy134 f) (SemanticCore.Class.cv (nb068AlphaDummy128 f))
(SemanticCore.Wff.classEq (SemanticCore.Class.cv (nb068AlphaDummy133 f))
(Compiler.CompactSourceSyntax.synCun
(Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv (nb068AlphaDummy134 f)))
(Compiler.CompactSourceSyntax.synCsn Compiler.CompactSourceSyntax.synC0c))))).fv ∪ (SemanticCore.Class.cab (nb068AlphaDummy133 f)
(Compiler.CompactSourceSyntax.synWrex (nb068AlphaDummy134 f) (SemanticCore.Class.cv (nb068AlphaDummy128 f))
(SemanticCore.Wff.classEq (SemanticCore.Class.cv (nb068AlphaDummy133 f))
(Compiler.CompactSourceSyntax.synCun
(Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv (nb068AlphaDummy134 f)))
(Compiler.CompactSourceSyntax.synCsn Compiler.CompactSourceSyntax.synC0c))))).fv
theorem
NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb068_support_mem_0165 :
nb068AlphaDummy126 ∈ (Compiler.CompactSourceSyntax.synCcompl
(SemanticCore.Class.cab nb068AlphaDummy167
(Compiler.CompactSourceSyntax.synWrex nb068AlphaDummy168 (SemanticCore.Class.cv nb068AlphaDummy126)
(SemanticCore.Wff.classEq (SemanticCore.Class.cv nb068AlphaDummy167)
(Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv nb068AlphaDummy168)))))).fv ∪ (Compiler.CompactSourceSyntax.synCcompl
(SemanticCore.Class.cab nb068AlphaDummy167
(Compiler.CompactSourceSyntax.synWrex nb068AlphaDummy168 (SemanticCore.Class.cv nb068AlphaDummy125)
(SemanticCore.Wff.classEq (SemanticCore.Class.cv nb068AlphaDummy167)
(Compiler.CompactSourceSyntax.synCun
(Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv nb068AlphaDummy168))
(Compiler.CompactSourceSyntax.synCsn Compiler.CompactSourceSyntax.synC0c)))))).fv
theorem
NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb068_support_mem_0167
(f : SemanticCore.Var)
:
nb068AlphaDummy128 f ∈ (Compiler.CompactSourceSyntax.synCcompl
(SemanticCore.Class.cab (nb068AlphaDummy169 f)
(Compiler.CompactSourceSyntax.synWrex (nb068AlphaDummy170 f) (SemanticCore.Class.cv (nb068AlphaDummy128 f))
(SemanticCore.Wff.classEq (SemanticCore.Class.cv (nb068AlphaDummy169 f))
(Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv (nb068AlphaDummy170 f))))))).fv ∪ (Compiler.CompactSourceSyntax.synCcompl
(SemanticCore.Class.cab (nb068AlphaDummy169 f)
(Compiler.CompactSourceSyntax.synWrex (nb068AlphaDummy170 f) (SemanticCore.Class.cv (nb068AlphaDummy127 f))
(SemanticCore.Wff.classEq (SemanticCore.Class.cv (nb068AlphaDummy169 f))
(Compiler.CompactSourceSyntax.synCun
(Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv (nb068AlphaDummy170 f)))
(Compiler.CompactSourceSyntax.synCsn Compiler.CompactSourceSyntax.synC0c)))))).fv
theorem
NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb068_support_mem_0168 :
nb068AlphaDummy126 ∈ (SemanticCore.Class.cab nb068AlphaDummy167
(Compiler.CompactSourceSyntax.synWrex nb068AlphaDummy168 (SemanticCore.Class.cv nb068AlphaDummy126)
(SemanticCore.Wff.classEq (SemanticCore.Class.cv nb068AlphaDummy167)
(Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv nb068AlphaDummy168))))).fv ∪ (SemanticCore.Class.cab nb068AlphaDummy167
(Compiler.CompactSourceSyntax.synWrex nb068AlphaDummy168 (SemanticCore.Class.cv nb068AlphaDummy126)
(SemanticCore.Wff.classEq (SemanticCore.Class.cv nb068AlphaDummy167)
(Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv nb068AlphaDummy168))))).fv
theorem
NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb068_support_mem_0169
(f : SemanticCore.Var)
:
nb068AlphaDummy128 f ∈ (SemanticCore.Class.cab (nb068AlphaDummy169 f)
(Compiler.CompactSourceSyntax.synWrex (nb068AlphaDummy170 f) (SemanticCore.Class.cv (nb068AlphaDummy128 f))
(SemanticCore.Wff.classEq (SemanticCore.Class.cv (nb068AlphaDummy169 f))
(Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv (nb068AlphaDummy170 f)))))).fv ∪ (SemanticCore.Class.cab (nb068AlphaDummy169 f)
(Compiler.CompactSourceSyntax.synWrex (nb068AlphaDummy170 f) (SemanticCore.Class.cv (nb068AlphaDummy128 f))
(SemanticCore.Wff.classEq (SemanticCore.Class.cv (nb068AlphaDummy169 f))
(Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv (nb068AlphaDummy170 f)))))).fv
theorem
NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb068_support_mem_0172 :
nb068AlphaDummy175 ∈ (SemanticCore.Wff.classMem (SemanticCore.Class.cv nb068AlphaDummy175) Compiler.CompactSourceSyntax.synCnnc).fv ∪ (Compiler.CompactSourceSyntax.synCplc (SemanticCore.Class.cv nb068AlphaDummy175)
Compiler.CompactSourceSyntax.synC1c).fv ∪ (SemanticCore.Class.cv nb068AlphaDummy175).fv
theorem
NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb068_support_mem_0173
(f : SemanticCore.Var)
:
nb068AlphaDummy177 f ∈ (SemanticCore.Wff.classMem (SemanticCore.Class.cv (nb068AlphaDummy177 f)) Compiler.CompactSourceSyntax.synCnnc).fv ∪ (Compiler.CompactSourceSyntax.synCplc (SemanticCore.Class.cv (nb068AlphaDummy177 f))
Compiler.CompactSourceSyntax.synC1c).fv ∪ (SemanticCore.Class.cv (nb068AlphaDummy177 f)).fv
theorem
NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb068_support_mem_0193 :
nb068AlphaDummy125 ∈ (Compiler.CompactSourceSyntax.synCcompl
(SemanticCore.Class.cab nb068AlphaDummy167
(Compiler.CompactSourceSyntax.synWrex nb068AlphaDummy168 (SemanticCore.Class.cv nb068AlphaDummy126)
(SemanticCore.Wff.classEq (SemanticCore.Class.cv nb068AlphaDummy167)
(Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv nb068AlphaDummy168)))))).fv ∪ (Compiler.CompactSourceSyntax.synCcompl
(SemanticCore.Class.cab nb068AlphaDummy167
(Compiler.CompactSourceSyntax.synWrex nb068AlphaDummy168 (SemanticCore.Class.cv nb068AlphaDummy125)
(SemanticCore.Wff.classEq (SemanticCore.Class.cv nb068AlphaDummy167)
(Compiler.CompactSourceSyntax.synCun
(Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv nb068AlphaDummy168))
(Compiler.CompactSourceSyntax.synCsn Compiler.CompactSourceSyntax.synC0c)))))).fv
theorem
NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb068_support_mem_0195
(f : SemanticCore.Var)
:
nb068AlphaDummy127 f ∈ (Compiler.CompactSourceSyntax.synCcompl
(SemanticCore.Class.cab (nb068AlphaDummy169 f)
(Compiler.CompactSourceSyntax.synWrex (nb068AlphaDummy170 f) (SemanticCore.Class.cv (nb068AlphaDummy128 f))
(SemanticCore.Wff.classEq (SemanticCore.Class.cv (nb068AlphaDummy169 f))
(Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv (nb068AlphaDummy170 f))))))).fv ∪ (Compiler.CompactSourceSyntax.synCcompl
(SemanticCore.Class.cab (nb068AlphaDummy169 f)
(Compiler.CompactSourceSyntax.synWrex (nb068AlphaDummy170 f) (SemanticCore.Class.cv (nb068AlphaDummy127 f))
(SemanticCore.Wff.classEq (SemanticCore.Class.cv (nb068AlphaDummy169 f))
(Compiler.CompactSourceSyntax.synCun
(Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv (nb068AlphaDummy170 f)))
(Compiler.CompactSourceSyntax.synCsn Compiler.CompactSourceSyntax.synC0c)))))).fv
theorem
NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb068_support_mem_0196 :
nb068AlphaDummy125 ∈ (SemanticCore.Class.cab nb068AlphaDummy167
(Compiler.CompactSourceSyntax.synWrex nb068AlphaDummy168 (SemanticCore.Class.cv nb068AlphaDummy125)
(SemanticCore.Wff.classEq (SemanticCore.Class.cv nb068AlphaDummy167)
(Compiler.CompactSourceSyntax.synCun
(Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv nb068AlphaDummy168))
(Compiler.CompactSourceSyntax.synCsn Compiler.CompactSourceSyntax.synC0c))))).fv ∪ (SemanticCore.Class.cab nb068AlphaDummy167
(Compiler.CompactSourceSyntax.synWrex nb068AlphaDummy168 (SemanticCore.Class.cv nb068AlphaDummy125)
(SemanticCore.Wff.classEq (SemanticCore.Class.cv nb068AlphaDummy167)
(Compiler.CompactSourceSyntax.synCun
(Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv nb068AlphaDummy168))
(Compiler.CompactSourceSyntax.synCsn Compiler.CompactSourceSyntax.synC0c))))).fv
theorem
NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb068_support_mem_0197
(f : SemanticCore.Var)
:
nb068AlphaDummy127 f ∈ (SemanticCore.Class.cab (nb068AlphaDummy169 f)
(Compiler.CompactSourceSyntax.synWrex (nb068AlphaDummy170 f) (SemanticCore.Class.cv (nb068AlphaDummy127 f))
(SemanticCore.Wff.classEq (SemanticCore.Class.cv (nb068AlphaDummy169 f))
(Compiler.CompactSourceSyntax.synCun
(Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv (nb068AlphaDummy170 f)))
(Compiler.CompactSourceSyntax.synCsn Compiler.CompactSourceSyntax.synC0c))))).fv ∪ (SemanticCore.Class.cab (nb068AlphaDummy169 f)
(Compiler.CompactSourceSyntax.synWrex (nb068AlphaDummy170 f) (SemanticCore.Class.cv (nb068AlphaDummy127 f))
(SemanticCore.Wff.classEq (SemanticCore.Class.cv (nb068AlphaDummy169 f))
(Compiler.CompactSourceSyntax.synCun
(Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv (nb068AlphaDummy170 f)))
(Compiler.CompactSourceSyntax.synCsn Compiler.CompactSourceSyntax.synC0c))))).fv
theorem
NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb068_support_mem_0202 :
nb068AlphaDummy000 ∈ (Compiler.CompactSourceSyntax.synCnin
(Compiler.CompactSourceSyntax.synCcom (SemanticCore.Class.cv nb068AlphaDummy000)
(Compiler.CompactSourceSyntax.synCcnv (SemanticCore.Class.cv nb068AlphaDummy000)))
Compiler.CompactSourceSyntax.synCid).fv ∪ (Compiler.CompactSourceSyntax.synCnin
(Compiler.CompactSourceSyntax.synCcom (SemanticCore.Class.cv nb068AlphaDummy000)
(Compiler.CompactSourceSyntax.synCcnv (SemanticCore.Class.cv nb068AlphaDummy000)))
Compiler.CompactSourceSyntax.synCid).fv
theorem
NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb068_support_mem_0203
(f : SemanticCore.Var)
:
f ∈ (Compiler.CompactSourceSyntax.synCnin
(Compiler.CompactSourceSyntax.synCcom (SemanticCore.Class.cv f)
(Compiler.CompactSourceSyntax.synCcnv (SemanticCore.Class.cv f)))
Compiler.CompactSourceSyntax.synCid).fv ∪ (Compiler.CompactSourceSyntax.synCnin
(Compiler.CompactSourceSyntax.synCcom (SemanticCore.Class.cv f)
(Compiler.CompactSourceSyntax.synCcnv (SemanticCore.Class.cv f)))
Compiler.CompactSourceSyntax.synCid).fv
theorem
NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb068_support_mem_0207 :
nb068AlphaDummy000 ∈ {nb068AlphaDummy045} ∪ {nb068AlphaDummy046} ∪ (Compiler.CompactSourceSyntax.synWex nb068AlphaDummy047
(Compiler.CompactSourceSyntax.synWa
(Compiler.CompactSourceSyntax.synWbr (SemanticCore.Class.cv nb068AlphaDummy045)
(Compiler.CompactSourceSyntax.synCcnv (SemanticCore.Class.cv nb068AlphaDummy000))
(SemanticCore.Class.cv nb068AlphaDummy047))
(Compiler.CompactSourceSyntax.synWbr (SemanticCore.Class.cv nb068AlphaDummy047)
(SemanticCore.Class.cv nb068AlphaDummy000) (SemanticCore.Class.cv nb068AlphaDummy046)))).fv
theorem
NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb068_support_mem_0209
(f : SemanticCore.Var)
:
f ∈ {nb068AlphaDummy048 f} ∪ {nb068AlphaDummy049 f} ∪ (Compiler.CompactSourceSyntax.synWex (nb068AlphaDummy050 f)
(Compiler.CompactSourceSyntax.synWa
(Compiler.CompactSourceSyntax.synWbr (SemanticCore.Class.cv (nb068AlphaDummy048 f))
(Compiler.CompactSourceSyntax.synCcnv (SemanticCore.Class.cv f))
(SemanticCore.Class.cv (nb068AlphaDummy050 f)))
(Compiler.CompactSourceSyntax.synWbr (SemanticCore.Class.cv (nb068AlphaDummy050 f)) (SemanticCore.Class.cv f)
(SemanticCore.Class.cv (nb068AlphaDummy049 f))))).fv
Certificates from NAR4C068C001Part011.
theorem
NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb068_support_mem_0215 :
nb068AlphaDummy047 ∈ (Compiler.CompactSourceSyntax.synCcompl
(SemanticCore.Class.cab nb068AlphaDummy203
(Compiler.CompactSourceSyntax.synWrex nb068AlphaDummy204 (SemanticCore.Class.cv nb068AlphaDummy047)
(SemanticCore.Wff.classEq (SemanticCore.Class.cv nb068AlphaDummy203)
(Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv nb068AlphaDummy204)))))).fv ∪ (Compiler.CompactSourceSyntax.synCcompl
(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)))))).fv
theorem
NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb068_support_mem_0217
(f : SemanticCore.Var)
:
nb068AlphaDummy050 f ∈ (Compiler.CompactSourceSyntax.synCcompl
(SemanticCore.Class.cab (nb068AlphaDummy205 f)
(Compiler.CompactSourceSyntax.synWrex (nb068AlphaDummy206 f) (SemanticCore.Class.cv (nb068AlphaDummy050 f))
(SemanticCore.Wff.classEq (SemanticCore.Class.cv (nb068AlphaDummy205 f))
(Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv (nb068AlphaDummy206 f))))))).fv ∪ (Compiler.CompactSourceSyntax.synCcompl
(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)))))).fv
theorem
NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb068_support_mem_0218 :
nb068AlphaDummy047 ∈ (SemanticCore.Class.cab nb068AlphaDummy203
(Compiler.CompactSourceSyntax.synWrex nb068AlphaDummy204 (SemanticCore.Class.cv nb068AlphaDummy047)
(SemanticCore.Wff.classEq (SemanticCore.Class.cv nb068AlphaDummy203)
(Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv nb068AlphaDummy204))))).fv ∪ (SemanticCore.Class.cab nb068AlphaDummy203
(Compiler.CompactSourceSyntax.synWrex nb068AlphaDummy204 (SemanticCore.Class.cv nb068AlphaDummy047)
(SemanticCore.Wff.classEq (SemanticCore.Class.cv nb068AlphaDummy203)
(Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv nb068AlphaDummy204))))).fv
theorem
NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb068_support_mem_0219
(f : SemanticCore.Var)
:
nb068AlphaDummy050 f ∈ (SemanticCore.Class.cab (nb068AlphaDummy205 f)
(Compiler.CompactSourceSyntax.synWrex (nb068AlphaDummy206 f) (SemanticCore.Class.cv (nb068AlphaDummy050 f))
(SemanticCore.Wff.classEq (SemanticCore.Class.cv (nb068AlphaDummy205 f))
(Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv (nb068AlphaDummy206 f)))))).fv ∪ (SemanticCore.Class.cab (nb068AlphaDummy205 f)
(Compiler.CompactSourceSyntax.synWrex (nb068AlphaDummy206 f) (SemanticCore.Class.cv (nb068AlphaDummy050 f))
(SemanticCore.Wff.classEq (SemanticCore.Class.cv (nb068AlphaDummy205 f))
(Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv (nb068AlphaDummy206 f)))))).fv
theorem
NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb068_support_mem_0222 :
nb068AlphaDummy211 ∈ (SemanticCore.Wff.classMem (SemanticCore.Class.cv nb068AlphaDummy211) Compiler.CompactSourceSyntax.synCnnc).fv ∪ (Compiler.CompactSourceSyntax.synCplc (SemanticCore.Class.cv nb068AlphaDummy211)
Compiler.CompactSourceSyntax.synC1c).fv ∪ (SemanticCore.Class.cv nb068AlphaDummy211).fv
theorem
NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb068_support_mem_0223
(f : SemanticCore.Var)
:
nb068AlphaDummy213 f ∈ (SemanticCore.Wff.classMem (SemanticCore.Class.cv (nb068AlphaDummy213 f)) Compiler.CompactSourceSyntax.synCnnc).fv ∪ (Compiler.CompactSourceSyntax.synCplc (SemanticCore.Class.cv (nb068AlphaDummy213 f))
Compiler.CompactSourceSyntax.synC1c).fv ∪ (SemanticCore.Class.cv (nb068AlphaDummy213 f)).fv
theorem
NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb068_support_mem_0243 :
nb068AlphaDummy046 ∈ (Compiler.CompactSourceSyntax.synCcompl
(SemanticCore.Class.cab nb068AlphaDummy203
(Compiler.CompactSourceSyntax.synWrex nb068AlphaDummy204 (SemanticCore.Class.cv nb068AlphaDummy047)
(SemanticCore.Wff.classEq (SemanticCore.Class.cv nb068AlphaDummy203)
(Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv nb068AlphaDummy204)))))).fv ∪ (Compiler.CompactSourceSyntax.synCcompl
(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)))))).fv
theorem
NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb068_support_mem_0245
(f : SemanticCore.Var)
:
nb068AlphaDummy049 f ∈ (Compiler.CompactSourceSyntax.synCcompl
(SemanticCore.Class.cab (nb068AlphaDummy205 f)
(Compiler.CompactSourceSyntax.synWrex (nb068AlphaDummy206 f) (SemanticCore.Class.cv (nb068AlphaDummy050 f))
(SemanticCore.Wff.classEq (SemanticCore.Class.cv (nb068AlphaDummy205 f))
(Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv (nb068AlphaDummy206 f))))))).fv ∪ (Compiler.CompactSourceSyntax.synCcompl
(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)))))).fv
theorem
NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb068_support_mem_0246 :
nb068AlphaDummy046 ∈ (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))))).fv ∪ (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))))).fv
theorem
NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb068_support_mem_0247
(f : SemanticCore.Var)
:
nb068AlphaDummy049 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))))).fv ∪ (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))))).fv
theorem
NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb068_support_mem_0253 :
nb068AlphaDummy240 ∈ (Compiler.CompactSourceSyntax.synCcompl
(SemanticCore.Class.cab nb068AlphaDummy243
(Compiler.CompactSourceSyntax.synWrex nb068AlphaDummy244 (SemanticCore.Class.cv nb068AlphaDummy240)
(SemanticCore.Wff.classEq (SemanticCore.Class.cv nb068AlphaDummy243)
(Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv nb068AlphaDummy244)))))).fv ∪ (Compiler.CompactSourceSyntax.synCcompl
(SemanticCore.Class.cab nb068AlphaDummy243
(Compiler.CompactSourceSyntax.synWrex nb068AlphaDummy244 (SemanticCore.Class.cv nb068AlphaDummy239)
(SemanticCore.Wff.classEq (SemanticCore.Class.cv nb068AlphaDummy243)
(Compiler.CompactSourceSyntax.synCun
(Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv nb068AlphaDummy244))
(Compiler.CompactSourceSyntax.synCsn Compiler.CompactSourceSyntax.synC0c)))))).fv
theorem
NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb068_support_mem_0255
(f : SemanticCore.Var)
:
nb068AlphaDummy242 f ∈ (Compiler.CompactSourceSyntax.synCcompl
(SemanticCore.Class.cab (nb068AlphaDummy245 f)
(Compiler.CompactSourceSyntax.synWrex (nb068AlphaDummy246 f) (SemanticCore.Class.cv (nb068AlphaDummy242 f))
(SemanticCore.Wff.classEq (SemanticCore.Class.cv (nb068AlphaDummy245 f))
(Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv (nb068AlphaDummy246 f))))))).fv ∪ (Compiler.CompactSourceSyntax.synCcompl
(SemanticCore.Class.cab (nb068AlphaDummy245 f)
(Compiler.CompactSourceSyntax.synWrex (nb068AlphaDummy246 f) (SemanticCore.Class.cv (nb068AlphaDummy241 f))
(SemanticCore.Wff.classEq (SemanticCore.Class.cv (nb068AlphaDummy245 f))
(Compiler.CompactSourceSyntax.synCun
(Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv (nb068AlphaDummy246 f)))
(Compiler.CompactSourceSyntax.synCsn Compiler.CompactSourceSyntax.synC0c)))))).fv
theorem
NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb068_support_mem_0256 :
nb068AlphaDummy240 ∈ (SemanticCore.Class.cab nb068AlphaDummy243
(Compiler.CompactSourceSyntax.synWrex nb068AlphaDummy244 (SemanticCore.Class.cv nb068AlphaDummy240)
(SemanticCore.Wff.classEq (SemanticCore.Class.cv nb068AlphaDummy243)
(Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv nb068AlphaDummy244))))).fv ∪ (SemanticCore.Class.cab nb068AlphaDummy243
(Compiler.CompactSourceSyntax.synWrex nb068AlphaDummy244 (SemanticCore.Class.cv nb068AlphaDummy240)
(SemanticCore.Wff.classEq (SemanticCore.Class.cv nb068AlphaDummy243)
(Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv nb068AlphaDummy244))))).fv
theorem
NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb068_support_mem_0257
(f : SemanticCore.Var)
:
nb068AlphaDummy242 f ∈ (SemanticCore.Class.cab (nb068AlphaDummy245 f)
(Compiler.CompactSourceSyntax.synWrex (nb068AlphaDummy246 f) (SemanticCore.Class.cv (nb068AlphaDummy242 f))
(SemanticCore.Wff.classEq (SemanticCore.Class.cv (nb068AlphaDummy245 f))
(Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv (nb068AlphaDummy246 f)))))).fv ∪ (SemanticCore.Class.cab (nb068AlphaDummy245 f)
(Compiler.CompactSourceSyntax.synWrex (nb068AlphaDummy246 f) (SemanticCore.Class.cv (nb068AlphaDummy242 f))
(SemanticCore.Wff.classEq (SemanticCore.Class.cv (nb068AlphaDummy245 f))
(Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv (nb068AlphaDummy246 f)))))).fv
theorem
NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb068_support_mem_0260 :
nb068AlphaDummy251 ∈ (SemanticCore.Wff.classMem (SemanticCore.Class.cv nb068AlphaDummy251) Compiler.CompactSourceSyntax.synCnnc).fv ∪ (Compiler.CompactSourceSyntax.synCplc (SemanticCore.Class.cv nb068AlphaDummy251)
Compiler.CompactSourceSyntax.synC1c).fv ∪ (SemanticCore.Class.cv nb068AlphaDummy251).fv
theorem
NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb068_support_mem_0261
(f : SemanticCore.Var)
:
nb068AlphaDummy253 f ∈ (SemanticCore.Wff.classMem (SemanticCore.Class.cv (nb068AlphaDummy253 f)) Compiler.CompactSourceSyntax.synCnnc).fv ∪ (Compiler.CompactSourceSyntax.synCplc (SemanticCore.Class.cv (nb068AlphaDummy253 f))
Compiler.CompactSourceSyntax.synC1c).fv ∪ (SemanticCore.Class.cv (nb068AlphaDummy253 f)).fv
theorem
NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb068_support_mem_0281 :
nb068AlphaDummy239 ∈ (Compiler.CompactSourceSyntax.synCcompl
(SemanticCore.Class.cab nb068AlphaDummy243
(Compiler.CompactSourceSyntax.synWrex nb068AlphaDummy244 (SemanticCore.Class.cv nb068AlphaDummy240)
(SemanticCore.Wff.classEq (SemanticCore.Class.cv nb068AlphaDummy243)
(Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv nb068AlphaDummy244)))))).fv ∪ (Compiler.CompactSourceSyntax.synCcompl
(SemanticCore.Class.cab nb068AlphaDummy243
(Compiler.CompactSourceSyntax.synWrex nb068AlphaDummy244 (SemanticCore.Class.cv nb068AlphaDummy239)
(SemanticCore.Wff.classEq (SemanticCore.Class.cv nb068AlphaDummy243)
(Compiler.CompactSourceSyntax.synCun
(Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv nb068AlphaDummy244))
(Compiler.CompactSourceSyntax.synCsn Compiler.CompactSourceSyntax.synC0c)))))).fv
theorem
NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb068_support_mem_0283
(f : SemanticCore.Var)
:
nb068AlphaDummy241 f ∈ (Compiler.CompactSourceSyntax.synCcompl
(SemanticCore.Class.cab (nb068AlphaDummy245 f)
(Compiler.CompactSourceSyntax.synWrex (nb068AlphaDummy246 f) (SemanticCore.Class.cv (nb068AlphaDummy242 f))
(SemanticCore.Wff.classEq (SemanticCore.Class.cv (nb068AlphaDummy245 f))
(Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv (nb068AlphaDummy246 f))))))).fv ∪ (Compiler.CompactSourceSyntax.synCcompl
(SemanticCore.Class.cab (nb068AlphaDummy245 f)
(Compiler.CompactSourceSyntax.synWrex (nb068AlphaDummy246 f) (SemanticCore.Class.cv (nb068AlphaDummy241 f))
(SemanticCore.Wff.classEq (SemanticCore.Class.cv (nb068AlphaDummy245 f))
(Compiler.CompactSourceSyntax.synCun
(Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv (nb068AlphaDummy246 f)))
(Compiler.CompactSourceSyntax.synCsn Compiler.CompactSourceSyntax.synC0c)))))).fv
theorem
NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb068_support_mem_0284 :
nb068AlphaDummy239 ∈ (SemanticCore.Class.cab nb068AlphaDummy243
(Compiler.CompactSourceSyntax.synWrex nb068AlphaDummy244 (SemanticCore.Class.cv nb068AlphaDummy239)
(SemanticCore.Wff.classEq (SemanticCore.Class.cv nb068AlphaDummy243)
(Compiler.CompactSourceSyntax.synCun
(Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv nb068AlphaDummy244))
(Compiler.CompactSourceSyntax.synCsn Compiler.CompactSourceSyntax.synC0c))))).fv ∪ (SemanticCore.Class.cab nb068AlphaDummy243
(Compiler.CompactSourceSyntax.synWrex nb068AlphaDummy244 (SemanticCore.Class.cv nb068AlphaDummy239)
(SemanticCore.Wff.classEq (SemanticCore.Class.cv nb068AlphaDummy243)
(Compiler.CompactSourceSyntax.synCun
(Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv nb068AlphaDummy244))
(Compiler.CompactSourceSyntax.synCsn Compiler.CompactSourceSyntax.synC0c))))).fv
theorem
NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb068_support_mem_0285
(f : SemanticCore.Var)
:
nb068AlphaDummy241 f ∈ (SemanticCore.Class.cab (nb068AlphaDummy245 f)
(Compiler.CompactSourceSyntax.synWrex (nb068AlphaDummy246 f) (SemanticCore.Class.cv (nb068AlphaDummy241 f))
(SemanticCore.Wff.classEq (SemanticCore.Class.cv (nb068AlphaDummy245 f))
(Compiler.CompactSourceSyntax.synCun
(Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv (nb068AlphaDummy246 f)))
(Compiler.CompactSourceSyntax.synCsn Compiler.CompactSourceSyntax.synC0c))))).fv ∪ (SemanticCore.Class.cab (nb068AlphaDummy245 f)
(Compiler.CompactSourceSyntax.synWrex (nb068AlphaDummy246 f) (SemanticCore.Class.cv (nb068AlphaDummy241 f))
(SemanticCore.Wff.classEq (SemanticCore.Class.cv (nb068AlphaDummy245 f))
(Compiler.CompactSourceSyntax.synCun
(Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv (nb068AlphaDummy246 f)))
(Compiler.CompactSourceSyntax.synCsn Compiler.CompactSourceSyntax.synC0c))))).fv
theorem
NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb068_support_mem_0293 :
nb068AlphaDummy284 ∈ (Compiler.CompactSourceSyntax.synCcompl
(SemanticCore.Class.cab nb068AlphaDummy287
(Compiler.CompactSourceSyntax.synWrex nb068AlphaDummy288 (SemanticCore.Class.cv nb068AlphaDummy284)
(SemanticCore.Wff.classEq (SemanticCore.Class.cv nb068AlphaDummy287)
(Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv nb068AlphaDummy288)))))).fv ∪ (Compiler.CompactSourceSyntax.synCcompl
(SemanticCore.Class.cab nb068AlphaDummy287
(Compiler.CompactSourceSyntax.synWrex nb068AlphaDummy288 (SemanticCore.Class.cv nb068AlphaDummy283)
(SemanticCore.Wff.classEq (SemanticCore.Class.cv nb068AlphaDummy287)
(Compiler.CompactSourceSyntax.synCun
(Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv nb068AlphaDummy288))
(Compiler.CompactSourceSyntax.synCsn Compiler.CompactSourceSyntax.synC0c)))))).fv
theorem
NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb068_support_mem_0295
(f : SemanticCore.Var)
:
nb068AlphaDummy286 f ∈ (Compiler.CompactSourceSyntax.synCcompl
(SemanticCore.Class.cab (nb068AlphaDummy289 f)
(Compiler.CompactSourceSyntax.synWrex (nb068AlphaDummy290 f) (SemanticCore.Class.cv (nb068AlphaDummy286 f))
(SemanticCore.Wff.classEq (SemanticCore.Class.cv (nb068AlphaDummy289 f))
(Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv (nb068AlphaDummy290 f))))))).fv ∪ (Compiler.CompactSourceSyntax.synCcompl
(SemanticCore.Class.cab (nb068AlphaDummy289 f)
(Compiler.CompactSourceSyntax.synWrex (nb068AlphaDummy290 f) (SemanticCore.Class.cv (nb068AlphaDummy285 f))
(SemanticCore.Wff.classEq (SemanticCore.Class.cv (nb068AlphaDummy289 f))
(Compiler.CompactSourceSyntax.synCun
(Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv (nb068AlphaDummy290 f)))
(Compiler.CompactSourceSyntax.synCsn Compiler.CompactSourceSyntax.synC0c)))))).fv
theorem
NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb068_support_mem_0296 :
nb068AlphaDummy284 ∈ (SemanticCore.Class.cab nb068AlphaDummy287
(Compiler.CompactSourceSyntax.synWrex nb068AlphaDummy288 (SemanticCore.Class.cv nb068AlphaDummy284)
(SemanticCore.Wff.classEq (SemanticCore.Class.cv nb068AlphaDummy287)
(Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv nb068AlphaDummy288))))).fv ∪ (SemanticCore.Class.cab nb068AlphaDummy287
(Compiler.CompactSourceSyntax.synWrex nb068AlphaDummy288 (SemanticCore.Class.cv nb068AlphaDummy284)
(SemanticCore.Wff.classEq (SemanticCore.Class.cv nb068AlphaDummy287)
(Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv nb068AlphaDummy288))))).fv
theorem
NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb068_support_mem_0297
(f : SemanticCore.Var)
:
nb068AlphaDummy286 f ∈ (SemanticCore.Class.cab (nb068AlphaDummy289 f)
(Compiler.CompactSourceSyntax.synWrex (nb068AlphaDummy290 f) (SemanticCore.Class.cv (nb068AlphaDummy286 f))
(SemanticCore.Wff.classEq (SemanticCore.Class.cv (nb068AlphaDummy289 f))
(Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv (nb068AlphaDummy290 f)))))).fv ∪ (SemanticCore.Class.cab (nb068AlphaDummy289 f)
(Compiler.CompactSourceSyntax.synWrex (nb068AlphaDummy290 f) (SemanticCore.Class.cv (nb068AlphaDummy286 f))
(SemanticCore.Wff.classEq (SemanticCore.Class.cv (nb068AlphaDummy289 f))
(Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv (nb068AlphaDummy290 f)))))).fv
theorem
NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb068_support_mem_0300 :
nb068AlphaDummy295 ∈ (SemanticCore.Wff.classMem (SemanticCore.Class.cv nb068AlphaDummy295) Compiler.CompactSourceSyntax.synCnnc).fv ∪ (Compiler.CompactSourceSyntax.synCplc (SemanticCore.Class.cv nb068AlphaDummy295)
Compiler.CompactSourceSyntax.synC1c).fv ∪ (SemanticCore.Class.cv nb068AlphaDummy295).fv
theorem
NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb068_support_mem_0301
(f : SemanticCore.Var)
:
nb068AlphaDummy297 f ∈ (SemanticCore.Wff.classMem (SemanticCore.Class.cv (nb068AlphaDummy297 f)) Compiler.CompactSourceSyntax.synCnnc).fv ∪ (Compiler.CompactSourceSyntax.synCplc (SemanticCore.Class.cv (nb068AlphaDummy297 f))
Compiler.CompactSourceSyntax.synC1c).fv ∪ (SemanticCore.Class.cv (nb068AlphaDummy297 f)).fv
theorem
NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb068_support_mem_0321 :
nb068AlphaDummy283 ∈ (Compiler.CompactSourceSyntax.synCcompl
(SemanticCore.Class.cab nb068AlphaDummy287
(Compiler.CompactSourceSyntax.synWrex nb068AlphaDummy288 (SemanticCore.Class.cv nb068AlphaDummy284)
(SemanticCore.Wff.classEq (SemanticCore.Class.cv nb068AlphaDummy287)
(Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv nb068AlphaDummy288)))))).fv ∪ (Compiler.CompactSourceSyntax.synCcompl
(SemanticCore.Class.cab nb068AlphaDummy287
(Compiler.CompactSourceSyntax.synWrex nb068AlphaDummy288 (SemanticCore.Class.cv nb068AlphaDummy283)
(SemanticCore.Wff.classEq (SemanticCore.Class.cv nb068AlphaDummy287)
(Compiler.CompactSourceSyntax.synCun
(Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv nb068AlphaDummy288))
(Compiler.CompactSourceSyntax.synCsn Compiler.CompactSourceSyntax.synC0c)))))).fv
theorem
NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb068_support_mem_0323
(f : SemanticCore.Var)
:
nb068AlphaDummy285 f ∈ (Compiler.CompactSourceSyntax.synCcompl
(SemanticCore.Class.cab (nb068AlphaDummy289 f)
(Compiler.CompactSourceSyntax.synWrex (nb068AlphaDummy290 f) (SemanticCore.Class.cv (nb068AlphaDummy286 f))
(SemanticCore.Wff.classEq (SemanticCore.Class.cv (nb068AlphaDummy289 f))
(Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv (nb068AlphaDummy290 f))))))).fv ∪ (Compiler.CompactSourceSyntax.synCcompl
(SemanticCore.Class.cab (nb068AlphaDummy289 f)
(Compiler.CompactSourceSyntax.synWrex (nb068AlphaDummy290 f) (SemanticCore.Class.cv (nb068AlphaDummy285 f))
(SemanticCore.Wff.classEq (SemanticCore.Class.cv (nb068AlphaDummy289 f))
(Compiler.CompactSourceSyntax.synCun
(Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv (nb068AlphaDummy290 f)))
(Compiler.CompactSourceSyntax.synCsn Compiler.CompactSourceSyntax.synC0c)))))).fv
theorem
NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb068_support_mem_0324 :
nb068AlphaDummy283 ∈ (SemanticCore.Class.cab nb068AlphaDummy287
(Compiler.CompactSourceSyntax.synWrex nb068AlphaDummy288 (SemanticCore.Class.cv nb068AlphaDummy283)
(SemanticCore.Wff.classEq (SemanticCore.Class.cv nb068AlphaDummy287)
(Compiler.CompactSourceSyntax.synCun
(Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv nb068AlphaDummy288))
(Compiler.CompactSourceSyntax.synCsn Compiler.CompactSourceSyntax.synC0c))))).fv ∪ (SemanticCore.Class.cab nb068AlphaDummy287
(Compiler.CompactSourceSyntax.synWrex nb068AlphaDummy288 (SemanticCore.Class.cv nb068AlphaDummy283)
(SemanticCore.Wff.classEq (SemanticCore.Class.cv nb068AlphaDummy287)
(Compiler.CompactSourceSyntax.synCun
(Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv nb068AlphaDummy288))
(Compiler.CompactSourceSyntax.synCsn Compiler.CompactSourceSyntax.synC0c))))).fv
theorem
NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb068_support_mem_0325
(f : SemanticCore.Var)
:
nb068AlphaDummy285 f ∈ (SemanticCore.Class.cab (nb068AlphaDummy289 f)
(Compiler.CompactSourceSyntax.synWrex (nb068AlphaDummy290 f) (SemanticCore.Class.cv (nb068AlphaDummy285 f))
(SemanticCore.Wff.classEq (SemanticCore.Class.cv (nb068AlphaDummy289 f))
(Compiler.CompactSourceSyntax.synCun
(Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv (nb068AlphaDummy290 f)))
(Compiler.CompactSourceSyntax.synCsn Compiler.CompactSourceSyntax.synC0c))))).fv ∪ (SemanticCore.Class.cab (nb068AlphaDummy289 f)
(Compiler.CompactSourceSyntax.synWrex (nb068AlphaDummy290 f) (SemanticCore.Class.cv (nb068AlphaDummy285 f))
(SemanticCore.Wff.classEq (SemanticCore.Class.cv (nb068AlphaDummy289 f))
(Compiler.CompactSourceSyntax.synCun
(Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv (nb068AlphaDummy290 f)))
(Compiler.CompactSourceSyntax.synCsn Compiler.CompactSourceSyntax.synC0c))))).fv
theorem
NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb068_support_mem_0330 :
nb068AlphaDummy000 ∈ (Compiler.CompactSourceSyntax.synCnin (Compiler.CompactSourceSyntax.synCrn (SemanticCore.Class.cv nb068AlphaDummy000))
(SemanticCore.Class.cv nb068AlphaDummy002)).fv ∪ (Compiler.CompactSourceSyntax.synCnin
(Compiler.CompactSourceSyntax.synCrn (SemanticCore.Class.cv nb068AlphaDummy000))
(SemanticCore.Class.cv nb068AlphaDummy002)).fv
theorem
NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb068_support_mem_0336 :
nb068AlphaDummy002 ∈ (Compiler.CompactSourceSyntax.synCnin (Compiler.CompactSourceSyntax.synCrn (SemanticCore.Class.cv nb068AlphaDummy000))
(SemanticCore.Class.cv nb068AlphaDummy002)).fv ∪ (Compiler.CompactSourceSyntax.synCnin
(Compiler.CompactSourceSyntax.synCrn (SemanticCore.Class.cv nb068AlphaDummy000))
(SemanticCore.Class.cv nb068AlphaDummy002)).fv
theorem
NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb068_support_mem_0340 :
nb068AlphaDummy327 ∈ {nb068AlphaDummy327} ∪ {nb068AlphaDummy328} ∪ (Compiler.CompactSourceSyntax.synWex nb068AlphaDummy329
(Compiler.CompactSourceSyntax.synWa
(Compiler.CompactSourceSyntax.synWbr (SemanticCore.Class.cv nb068AlphaDummy327)
(Compiler.CompactSourceSyntax.synCcnv
(Compiler.CompactSourceSyntax.synCcnv (SemanticCore.Class.cv nb068AlphaDummy000)))
(SemanticCore.Class.cv nb068AlphaDummy329))
(Compiler.CompactSourceSyntax.synWbr (SemanticCore.Class.cv nb068AlphaDummy329)
(Compiler.CompactSourceSyntax.synCcnv (SemanticCore.Class.cv nb068AlphaDummy000))
(SemanticCore.Class.cv nb068AlphaDummy328)))).fv
theorem
NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb068_support_mem_0341
(f : SemanticCore.Var)
:
nb068AlphaDummy330 f ∈ {nb068AlphaDummy330 f} ∪ {nb068AlphaDummy331 f} ∪ (Compiler.CompactSourceSyntax.synWex (nb068AlphaDummy332 f)
(Compiler.CompactSourceSyntax.synWa
(Compiler.CompactSourceSyntax.synWbr (SemanticCore.Class.cv (nb068AlphaDummy330 f))
(Compiler.CompactSourceSyntax.synCcnv (Compiler.CompactSourceSyntax.synCcnv (SemanticCore.Class.cv f)))
(SemanticCore.Class.cv (nb068AlphaDummy332 f)))
(Compiler.CompactSourceSyntax.synWbr (SemanticCore.Class.cv (nb068AlphaDummy332 f))
(Compiler.CompactSourceSyntax.synCcnv (SemanticCore.Class.cv f))
(SemanticCore.Class.cv (nb068AlphaDummy331 f))))).fv
theorem
NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb068_support_mem_0342 :
nb068AlphaDummy328 ∈ {nb068AlphaDummy327} ∪ {nb068AlphaDummy328} ∪ (Compiler.CompactSourceSyntax.synWex nb068AlphaDummy329
(Compiler.CompactSourceSyntax.synWa
(Compiler.CompactSourceSyntax.synWbr (SemanticCore.Class.cv nb068AlphaDummy327)
(Compiler.CompactSourceSyntax.synCcnv
(Compiler.CompactSourceSyntax.synCcnv (SemanticCore.Class.cv nb068AlphaDummy000)))
(SemanticCore.Class.cv nb068AlphaDummy329))
(Compiler.CompactSourceSyntax.synWbr (SemanticCore.Class.cv nb068AlphaDummy329)
(Compiler.CompactSourceSyntax.synCcnv (SemanticCore.Class.cv nb068AlphaDummy000))
(SemanticCore.Class.cv nb068AlphaDummy328)))).fv
theorem
NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb068_support_mem_0343
(f : SemanticCore.Var)
:
nb068AlphaDummy331 f ∈ {nb068AlphaDummy330 f} ∪ {nb068AlphaDummy331 f} ∪ (Compiler.CompactSourceSyntax.synWex (nb068AlphaDummy332 f)
(Compiler.CompactSourceSyntax.synWa
(Compiler.CompactSourceSyntax.synWbr (SemanticCore.Class.cv (nb068AlphaDummy330 f))
(Compiler.CompactSourceSyntax.synCcnv (Compiler.CompactSourceSyntax.synCcnv (SemanticCore.Class.cv f)))
(SemanticCore.Class.cv (nb068AlphaDummy332 f)))
(Compiler.CompactSourceSyntax.synWbr (SemanticCore.Class.cv (nb068AlphaDummy332 f))
(Compiler.CompactSourceSyntax.synCcnv (SemanticCore.Class.cv f))
(SemanticCore.Class.cv (nb068AlphaDummy331 f))))).fv
theorem
NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb068_support_mem_0345 :
nb068AlphaDummy327 ∈ (Compiler.CompactSourceSyntax.synCcompl
(SemanticCore.Class.cab nb068AlphaDummy335
(Compiler.CompactSourceSyntax.synWrex nb068AlphaDummy336 (SemanticCore.Class.cv nb068AlphaDummy327)
(SemanticCore.Wff.classEq (SemanticCore.Class.cv nb068AlphaDummy335)
(Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv nb068AlphaDummy336)))))).fv ∪ (Compiler.CompactSourceSyntax.synCcompl
(SemanticCore.Class.cab nb068AlphaDummy335
(Compiler.CompactSourceSyntax.synWrex nb068AlphaDummy336 (SemanticCore.Class.cv nb068AlphaDummy328)
(SemanticCore.Wff.classEq (SemanticCore.Class.cv nb068AlphaDummy335)
(Compiler.CompactSourceSyntax.synCun
(Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv nb068AlphaDummy336))
(Compiler.CompactSourceSyntax.synCsn Compiler.CompactSourceSyntax.synC0c)))))).fv
theorem
NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb068_support_mem_0347
(f : SemanticCore.Var)
:
nb068AlphaDummy330 f ∈ (Compiler.CompactSourceSyntax.synCcompl
(SemanticCore.Class.cab (nb068AlphaDummy337 f)
(Compiler.CompactSourceSyntax.synWrex (nb068AlphaDummy338 f) (SemanticCore.Class.cv (nb068AlphaDummy330 f))
(SemanticCore.Wff.classEq (SemanticCore.Class.cv (nb068AlphaDummy337 f))
(Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv (nb068AlphaDummy338 f))))))).fv ∪ (Compiler.CompactSourceSyntax.synCcompl
(SemanticCore.Class.cab (nb068AlphaDummy337 f)
(Compiler.CompactSourceSyntax.synWrex (nb068AlphaDummy338 f) (SemanticCore.Class.cv (nb068AlphaDummy331 f))
(SemanticCore.Wff.classEq (SemanticCore.Class.cv (nb068AlphaDummy337 f))
(Compiler.CompactSourceSyntax.synCun
(Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv (nb068AlphaDummy338 f)))
(Compiler.CompactSourceSyntax.synCsn Compiler.CompactSourceSyntax.synC0c)))))).fv
theorem
NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb068_support_mem_0348 :
nb068AlphaDummy327 ∈ (SemanticCore.Class.cab nb068AlphaDummy335
(Compiler.CompactSourceSyntax.synWrex nb068AlphaDummy336 (SemanticCore.Class.cv nb068AlphaDummy327)
(SemanticCore.Wff.classEq (SemanticCore.Class.cv nb068AlphaDummy335)
(Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv nb068AlphaDummy336))))).fv ∪ (SemanticCore.Class.cab nb068AlphaDummy335
(Compiler.CompactSourceSyntax.synWrex nb068AlphaDummy336 (SemanticCore.Class.cv nb068AlphaDummy327)
(SemanticCore.Wff.classEq (SemanticCore.Class.cv nb068AlphaDummy335)
(Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv nb068AlphaDummy336))))).fv
theorem
NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb068_support_mem_0349
(f : SemanticCore.Var)
:
nb068AlphaDummy330 f ∈ (SemanticCore.Class.cab (nb068AlphaDummy337 f)
(Compiler.CompactSourceSyntax.synWrex (nb068AlphaDummy338 f) (SemanticCore.Class.cv (nb068AlphaDummy330 f))
(SemanticCore.Wff.classEq (SemanticCore.Class.cv (nb068AlphaDummy337 f))
(Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv (nb068AlphaDummy338 f)))))).fv ∪ (SemanticCore.Class.cab (nb068AlphaDummy337 f)
(Compiler.CompactSourceSyntax.synWrex (nb068AlphaDummy338 f) (SemanticCore.Class.cv (nb068AlphaDummy330 f))
(SemanticCore.Wff.classEq (SemanticCore.Class.cv (nb068AlphaDummy337 f))
(Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv (nb068AlphaDummy338 f)))))).fv
theorem
NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb068_support_mem_0352 :
nb068AlphaDummy343 ∈ (SemanticCore.Wff.classMem (SemanticCore.Class.cv nb068AlphaDummy343) Compiler.CompactSourceSyntax.synCnnc).fv ∪ (Compiler.CompactSourceSyntax.synCplc (SemanticCore.Class.cv nb068AlphaDummy343)
Compiler.CompactSourceSyntax.synC1c).fv ∪ (SemanticCore.Class.cv nb068AlphaDummy343).fv
theorem
NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb068_support_mem_0353
(f : SemanticCore.Var)
:
nb068AlphaDummy345 f ∈ (SemanticCore.Wff.classMem (SemanticCore.Class.cv (nb068AlphaDummy345 f)) Compiler.CompactSourceSyntax.synCnnc).fv ∪ (Compiler.CompactSourceSyntax.synCplc (SemanticCore.Class.cv (nb068AlphaDummy345 f))
Compiler.CompactSourceSyntax.synC1c).fv ∪ (SemanticCore.Class.cv (nb068AlphaDummy345 f)).fv