Nominal proof certificates grouped in dependency order.
Certificates from NAR4C078C001Part028.
theorem
NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb078_support_mem_0883 :
nb078AlphaDummy847 ∈ (Compiler.CompactSourceSyntax.synCcompl
(SemanticCore.Class.cab nb078AlphaDummy853
(Compiler.CompactSourceSyntax.synWrex nb078AlphaDummy854 (SemanticCore.Class.cv nb078AlphaDummy847)
(SemanticCore.Wff.classEq (SemanticCore.Class.cv nb078AlphaDummy853)
(Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv nb078AlphaDummy854)))))).fv ∪ (Compiler.CompactSourceSyntax.synCcompl
(SemanticCore.Class.cab nb078AlphaDummy853
(Compiler.CompactSourceSyntax.synWrex nb078AlphaDummy854 (SemanticCore.Class.cv nb078AlphaDummy848)
(SemanticCore.Wff.classEq (SemanticCore.Class.cv nb078AlphaDummy853)
(Compiler.CompactSourceSyntax.synCun
(Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv nb078AlphaDummy854))
(Compiler.CompactSourceSyntax.synCsn Compiler.CompactSourceSyntax.synC0c)))))).fv
theorem
NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb078_support_mem_0885
(h : SemanticCore.Var)
:
nb078AlphaDummy849 h ∈ (Compiler.CompactSourceSyntax.synCcompl
(SemanticCore.Class.cab (nb078AlphaDummy855 h)
(Compiler.CompactSourceSyntax.synWrex (nb078AlphaDummy856 h) (SemanticCore.Class.cv (nb078AlphaDummy849 h))
(SemanticCore.Wff.classEq (SemanticCore.Class.cv (nb078AlphaDummy855 h))
(Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv (nb078AlphaDummy856 h))))))).fv ∪ (Compiler.CompactSourceSyntax.synCcompl
(SemanticCore.Class.cab (nb078AlphaDummy855 h)
(Compiler.CompactSourceSyntax.synWrex (nb078AlphaDummy856 h) (SemanticCore.Class.cv (nb078AlphaDummy850 h))
(SemanticCore.Wff.classEq (SemanticCore.Class.cv (nb078AlphaDummy855 h))
(Compiler.CompactSourceSyntax.synCun
(Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv (nb078AlphaDummy856 h)))
(Compiler.CompactSourceSyntax.synCsn Compiler.CompactSourceSyntax.synC0c)))))).fv
theorem
NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb078_support_mem_0886 :
nb078AlphaDummy847 ∈ (SemanticCore.Class.cab nb078AlphaDummy853
(Compiler.CompactSourceSyntax.synWrex nb078AlphaDummy854 (SemanticCore.Class.cv nb078AlphaDummy847)
(SemanticCore.Wff.classEq (SemanticCore.Class.cv nb078AlphaDummy853)
(Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv nb078AlphaDummy854))))).fv ∪ (SemanticCore.Class.cab nb078AlphaDummy853
(Compiler.CompactSourceSyntax.synWrex nb078AlphaDummy854 (SemanticCore.Class.cv nb078AlphaDummy847)
(SemanticCore.Wff.classEq (SemanticCore.Class.cv nb078AlphaDummy853)
(Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv nb078AlphaDummy854))))).fv
theorem
NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb078_support_mem_0887
(h : SemanticCore.Var)
:
nb078AlphaDummy849 h ∈ (SemanticCore.Class.cab (nb078AlphaDummy855 h)
(Compiler.CompactSourceSyntax.synWrex (nb078AlphaDummy856 h) (SemanticCore.Class.cv (nb078AlphaDummy849 h))
(SemanticCore.Wff.classEq (SemanticCore.Class.cv (nb078AlphaDummy855 h))
(Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv (nb078AlphaDummy856 h)))))).fv ∪ (SemanticCore.Class.cab (nb078AlphaDummy855 h)
(Compiler.CompactSourceSyntax.synWrex (nb078AlphaDummy856 h) (SemanticCore.Class.cv (nb078AlphaDummy849 h))
(SemanticCore.Wff.classEq (SemanticCore.Class.cv (nb078AlphaDummy855 h))
(Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv (nb078AlphaDummy856 h)))))).fv
theorem
NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb078_support_mem_0890 :
nb078AlphaDummy861 ∈ (SemanticCore.Wff.classMem (SemanticCore.Class.cv nb078AlphaDummy861) Compiler.CompactSourceSyntax.synCnnc).fv ∪ (Compiler.CompactSourceSyntax.synCplc (SemanticCore.Class.cv nb078AlphaDummy861)
Compiler.CompactSourceSyntax.synC1c).fv ∪ (SemanticCore.Class.cv nb078AlphaDummy861).fv
theorem
NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb078_support_mem_0891
(h : SemanticCore.Var)
:
nb078AlphaDummy863 h ∈ (SemanticCore.Wff.classMem (SemanticCore.Class.cv (nb078AlphaDummy863 h)) Compiler.CompactSourceSyntax.synCnnc).fv ∪ (Compiler.CompactSourceSyntax.synCplc (SemanticCore.Class.cv (nb078AlphaDummy863 h))
Compiler.CompactSourceSyntax.synC1c).fv ∪ (SemanticCore.Class.cv (nb078AlphaDummy863 h)).fv
theorem
NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb078_support_mem_0911 :
nb078AlphaDummy848 ∈ (Compiler.CompactSourceSyntax.synCcompl
(SemanticCore.Class.cab nb078AlphaDummy853
(Compiler.CompactSourceSyntax.synWrex nb078AlphaDummy854 (SemanticCore.Class.cv nb078AlphaDummy847)
(SemanticCore.Wff.classEq (SemanticCore.Class.cv nb078AlphaDummy853)
(Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv nb078AlphaDummy854)))))).fv ∪ (Compiler.CompactSourceSyntax.synCcompl
(SemanticCore.Class.cab nb078AlphaDummy853
(Compiler.CompactSourceSyntax.synWrex nb078AlphaDummy854 (SemanticCore.Class.cv nb078AlphaDummy848)
(SemanticCore.Wff.classEq (SemanticCore.Class.cv nb078AlphaDummy853)
(Compiler.CompactSourceSyntax.synCun
(Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv nb078AlphaDummy854))
(Compiler.CompactSourceSyntax.synCsn Compiler.CompactSourceSyntax.synC0c)))))).fv
theorem
NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb078_support_mem_0913
(h : SemanticCore.Var)
:
nb078AlphaDummy850 h ∈ (Compiler.CompactSourceSyntax.synCcompl
(SemanticCore.Class.cab (nb078AlphaDummy855 h)
(Compiler.CompactSourceSyntax.synWrex (nb078AlphaDummy856 h) (SemanticCore.Class.cv (nb078AlphaDummy849 h))
(SemanticCore.Wff.classEq (SemanticCore.Class.cv (nb078AlphaDummy855 h))
(Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv (nb078AlphaDummy856 h))))))).fv ∪ (Compiler.CompactSourceSyntax.synCcompl
(SemanticCore.Class.cab (nb078AlphaDummy855 h)
(Compiler.CompactSourceSyntax.synWrex (nb078AlphaDummy856 h) (SemanticCore.Class.cv (nb078AlphaDummy850 h))
(SemanticCore.Wff.classEq (SemanticCore.Class.cv (nb078AlphaDummy855 h))
(Compiler.CompactSourceSyntax.synCun
(Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv (nb078AlphaDummy856 h)))
(Compiler.CompactSourceSyntax.synCsn Compiler.CompactSourceSyntax.synC0c)))))).fv
theorem
NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb078_support_mem_0914 :
nb078AlphaDummy848 ∈ (SemanticCore.Class.cab nb078AlphaDummy853
(Compiler.CompactSourceSyntax.synWrex nb078AlphaDummy854 (SemanticCore.Class.cv nb078AlphaDummy848)
(SemanticCore.Wff.classEq (SemanticCore.Class.cv nb078AlphaDummy853)
(Compiler.CompactSourceSyntax.synCun
(Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv nb078AlphaDummy854))
(Compiler.CompactSourceSyntax.synCsn Compiler.CompactSourceSyntax.synC0c))))).fv ∪ (SemanticCore.Class.cab nb078AlphaDummy853
(Compiler.CompactSourceSyntax.synWrex nb078AlphaDummy854 (SemanticCore.Class.cv nb078AlphaDummy848)
(SemanticCore.Wff.classEq (SemanticCore.Class.cv nb078AlphaDummy853)
(Compiler.CompactSourceSyntax.synCun
(Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv nb078AlphaDummy854))
(Compiler.CompactSourceSyntax.synCsn Compiler.CompactSourceSyntax.synC0c))))).fv
theorem
NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb078_support_mem_0915
(h : SemanticCore.Var)
:
nb078AlphaDummy850 h ∈ (SemanticCore.Class.cab (nb078AlphaDummy855 h)
(Compiler.CompactSourceSyntax.synWrex (nb078AlphaDummy856 h) (SemanticCore.Class.cv (nb078AlphaDummy850 h))
(SemanticCore.Wff.classEq (SemanticCore.Class.cv (nb078AlphaDummy855 h))
(Compiler.CompactSourceSyntax.synCun
(Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv (nb078AlphaDummy856 h)))
(Compiler.CompactSourceSyntax.synCsn Compiler.CompactSourceSyntax.synC0c))))).fv ∪ (SemanticCore.Class.cab (nb078AlphaDummy855 h)
(Compiler.CompactSourceSyntax.synWrex (nb078AlphaDummy856 h) (SemanticCore.Class.cv (nb078AlphaDummy850 h))
(SemanticCore.Wff.classEq (SemanticCore.Class.cv (nb078AlphaDummy855 h))
(Compiler.CompactSourceSyntax.synCun
(Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv (nb078AlphaDummy856 h)))
(Compiler.CompactSourceSyntax.synCsn Compiler.CompactSourceSyntax.synC0c))))).fv
theorem
NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb078_support_mem_0921 :
nb078AlphaDummy848 ∈ (Compiler.CompactSourceSyntax.synCcompl
(SemanticCore.Class.cab nb078AlphaDummy889
(Compiler.CompactSourceSyntax.synWrex nb078AlphaDummy890 (SemanticCore.Class.cv nb078AlphaDummy848)
(SemanticCore.Wff.classEq (SemanticCore.Class.cv nb078AlphaDummy889)
(Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv nb078AlphaDummy890)))))).fv ∪ (Compiler.CompactSourceSyntax.synCcompl
(SemanticCore.Class.cab nb078AlphaDummy889
(Compiler.CompactSourceSyntax.synWrex nb078AlphaDummy890 (SemanticCore.Class.cv nb078AlphaDummy847)
(SemanticCore.Wff.classEq (SemanticCore.Class.cv nb078AlphaDummy889)
(Compiler.CompactSourceSyntax.synCun
(Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv nb078AlphaDummy890))
(Compiler.CompactSourceSyntax.synCsn Compiler.CompactSourceSyntax.synC0c)))))).fv
theorem
NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb078_support_mem_0923
(h : SemanticCore.Var)
:
nb078AlphaDummy850 h ∈ (Compiler.CompactSourceSyntax.synCcompl
(SemanticCore.Class.cab (nb078AlphaDummy891 h)
(Compiler.CompactSourceSyntax.synWrex (nb078AlphaDummy892 h) (SemanticCore.Class.cv (nb078AlphaDummy850 h))
(SemanticCore.Wff.classEq (SemanticCore.Class.cv (nb078AlphaDummy891 h))
(Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv (nb078AlphaDummy892 h))))))).fv ∪ (Compiler.CompactSourceSyntax.synCcompl
(SemanticCore.Class.cab (nb078AlphaDummy891 h)
(Compiler.CompactSourceSyntax.synWrex (nb078AlphaDummy892 h) (SemanticCore.Class.cv (nb078AlphaDummy849 h))
(SemanticCore.Wff.classEq (SemanticCore.Class.cv (nb078AlphaDummy891 h))
(Compiler.CompactSourceSyntax.synCun
(Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv (nb078AlphaDummy892 h)))
(Compiler.CompactSourceSyntax.synCsn Compiler.CompactSourceSyntax.synC0c)))))).fv
theorem
NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb078_support_mem_0924 :
nb078AlphaDummy848 ∈ (SemanticCore.Class.cab nb078AlphaDummy889
(Compiler.CompactSourceSyntax.synWrex nb078AlphaDummy890 (SemanticCore.Class.cv nb078AlphaDummy848)
(SemanticCore.Wff.classEq (SemanticCore.Class.cv nb078AlphaDummy889)
(Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv nb078AlphaDummy890))))).fv ∪ (SemanticCore.Class.cab nb078AlphaDummy889
(Compiler.CompactSourceSyntax.synWrex nb078AlphaDummy890 (SemanticCore.Class.cv nb078AlphaDummy848)
(SemanticCore.Wff.classEq (SemanticCore.Class.cv nb078AlphaDummy889)
(Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv nb078AlphaDummy890))))).fv
theorem
NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb078_support_mem_0925
(h : SemanticCore.Var)
:
nb078AlphaDummy850 h ∈ (SemanticCore.Class.cab (nb078AlphaDummy891 h)
(Compiler.CompactSourceSyntax.synWrex (nb078AlphaDummy892 h) (SemanticCore.Class.cv (nb078AlphaDummy850 h))
(SemanticCore.Wff.classEq (SemanticCore.Class.cv (nb078AlphaDummy891 h))
(Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv (nb078AlphaDummy892 h)))))).fv ∪ (SemanticCore.Class.cab (nb078AlphaDummy891 h)
(Compiler.CompactSourceSyntax.synWrex (nb078AlphaDummy892 h) (SemanticCore.Class.cv (nb078AlphaDummy850 h))
(SemanticCore.Wff.classEq (SemanticCore.Class.cv (nb078AlphaDummy891 h))
(Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv (nb078AlphaDummy892 h)))))).fv
theorem
NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb078_support_mem_0928 :
nb078AlphaDummy897 ∈ (SemanticCore.Wff.classMem (SemanticCore.Class.cv nb078AlphaDummy897) Compiler.CompactSourceSyntax.synCnnc).fv ∪ (Compiler.CompactSourceSyntax.synCplc (SemanticCore.Class.cv nb078AlphaDummy897)
Compiler.CompactSourceSyntax.synC1c).fv ∪ (SemanticCore.Class.cv nb078AlphaDummy897).fv
theorem
NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb078_support_mem_0929
(h : SemanticCore.Var)
:
nb078AlphaDummy899 h ∈ (SemanticCore.Wff.classMem (SemanticCore.Class.cv (nb078AlphaDummy899 h)) Compiler.CompactSourceSyntax.synCnnc).fv ∪ (Compiler.CompactSourceSyntax.synCplc (SemanticCore.Class.cv (nb078AlphaDummy899 h))
Compiler.CompactSourceSyntax.synC1c).fv ∪ (SemanticCore.Class.cv (nb078AlphaDummy899 h)).fv
theorem
NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb078_support_mem_0949 :
nb078AlphaDummy847 ∈ (Compiler.CompactSourceSyntax.synCcompl
(SemanticCore.Class.cab nb078AlphaDummy889
(Compiler.CompactSourceSyntax.synWrex nb078AlphaDummy890 (SemanticCore.Class.cv nb078AlphaDummy848)
(SemanticCore.Wff.classEq (SemanticCore.Class.cv nb078AlphaDummy889)
(Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv nb078AlphaDummy890)))))).fv ∪ (Compiler.CompactSourceSyntax.synCcompl
(SemanticCore.Class.cab nb078AlphaDummy889
(Compiler.CompactSourceSyntax.synWrex nb078AlphaDummy890 (SemanticCore.Class.cv nb078AlphaDummy847)
(SemanticCore.Wff.classEq (SemanticCore.Class.cv nb078AlphaDummy889)
(Compiler.CompactSourceSyntax.synCun
(Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv nb078AlphaDummy890))
(Compiler.CompactSourceSyntax.synCsn Compiler.CompactSourceSyntax.synC0c)))))).fv
theorem
NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb078_support_mem_0951
(h : SemanticCore.Var)
:
nb078AlphaDummy849 h ∈ (Compiler.CompactSourceSyntax.synCcompl
(SemanticCore.Class.cab (nb078AlphaDummy891 h)
(Compiler.CompactSourceSyntax.synWrex (nb078AlphaDummy892 h) (SemanticCore.Class.cv (nb078AlphaDummy850 h))
(SemanticCore.Wff.classEq (SemanticCore.Class.cv (nb078AlphaDummy891 h))
(Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv (nb078AlphaDummy892 h))))))).fv ∪ (Compiler.CompactSourceSyntax.synCcompl
(SemanticCore.Class.cab (nb078AlphaDummy891 h)
(Compiler.CompactSourceSyntax.synWrex (nb078AlphaDummy892 h) (SemanticCore.Class.cv (nb078AlphaDummy849 h))
(SemanticCore.Wff.classEq (SemanticCore.Class.cv (nb078AlphaDummy891 h))
(Compiler.CompactSourceSyntax.synCun
(Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv (nb078AlphaDummy892 h)))
(Compiler.CompactSourceSyntax.synCsn Compiler.CompactSourceSyntax.synC0c)))))).fv
theorem
NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb078_support_mem_0952 :
nb078AlphaDummy847 ∈ (SemanticCore.Class.cab nb078AlphaDummy889
(Compiler.CompactSourceSyntax.synWrex nb078AlphaDummy890 (SemanticCore.Class.cv nb078AlphaDummy847)
(SemanticCore.Wff.classEq (SemanticCore.Class.cv nb078AlphaDummy889)
(Compiler.CompactSourceSyntax.synCun
(Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv nb078AlphaDummy890))
(Compiler.CompactSourceSyntax.synCsn Compiler.CompactSourceSyntax.synC0c))))).fv ∪ (SemanticCore.Class.cab nb078AlphaDummy889
(Compiler.CompactSourceSyntax.synWrex nb078AlphaDummy890 (SemanticCore.Class.cv nb078AlphaDummy847)
(SemanticCore.Wff.classEq (SemanticCore.Class.cv nb078AlphaDummy889)
(Compiler.CompactSourceSyntax.synCun
(Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv nb078AlphaDummy890))
(Compiler.CompactSourceSyntax.synCsn Compiler.CompactSourceSyntax.synC0c))))).fv
theorem
NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb078_support_mem_0953
(h : SemanticCore.Var)
:
nb078AlphaDummy849 h ∈ (SemanticCore.Class.cab (nb078AlphaDummy891 h)
(Compiler.CompactSourceSyntax.synWrex (nb078AlphaDummy892 h) (SemanticCore.Class.cv (nb078AlphaDummy849 h))
(SemanticCore.Wff.classEq (SemanticCore.Class.cv (nb078AlphaDummy891 h))
(Compiler.CompactSourceSyntax.synCun
(Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv (nb078AlphaDummy892 h)))
(Compiler.CompactSourceSyntax.synCsn Compiler.CompactSourceSyntax.synC0c))))).fv ∪ (SemanticCore.Class.cab (nb078AlphaDummy891 h)
(Compiler.CompactSourceSyntax.synWrex (nb078AlphaDummy892 h) (SemanticCore.Class.cv (nb078AlphaDummy849 h))
(SemanticCore.Wff.classEq (SemanticCore.Class.cv (nb078AlphaDummy891 h))
(Compiler.CompactSourceSyntax.synCun
(Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv (nb078AlphaDummy892 h)))
(Compiler.CompactSourceSyntax.synCsn Compiler.CompactSourceSyntax.synC0c))))).fv
theorem
NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb078_support_mem_0958 :
nb078AlphaDummy002 ∈ (Compiler.CompactSourceSyntax.synCnin
(Compiler.CompactSourceSyntax.synCcom (SemanticCore.Class.cv nb078AlphaDummy002)
(Compiler.CompactSourceSyntax.synCcnv (SemanticCore.Class.cv nb078AlphaDummy002)))
Compiler.CompactSourceSyntax.synCid).fv ∪ (Compiler.CompactSourceSyntax.synCnin
(Compiler.CompactSourceSyntax.synCcom (SemanticCore.Class.cv nb078AlphaDummy002)
(Compiler.CompactSourceSyntax.synCcnv (SemanticCore.Class.cv nb078AlphaDummy002)))
Compiler.CompactSourceSyntax.synCid).fv
theorem
NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb078_support_mem_0959
(h : SemanticCore.Var)
:
h ∈ (Compiler.CompactSourceSyntax.synCnin
(Compiler.CompactSourceSyntax.synCcom (SemanticCore.Class.cv h)
(Compiler.CompactSourceSyntax.synCcnv (SemanticCore.Class.cv h)))
Compiler.CompactSourceSyntax.synCid).fv ∪ (Compiler.CompactSourceSyntax.synCnin
(Compiler.CompactSourceSyntax.synCcom (SemanticCore.Class.cv h)
(Compiler.CompactSourceSyntax.synCcnv (SemanticCore.Class.cv h)))
Compiler.CompactSourceSyntax.synCid).fv
theorem
NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb078_support_mem_0963 :
nb078AlphaDummy002 ∈ {nb078AlphaDummy767} ∪ {nb078AlphaDummy768} ∪ (Compiler.CompactSourceSyntax.synWex nb078AlphaDummy769
(Compiler.CompactSourceSyntax.synWa
(Compiler.CompactSourceSyntax.synWbr (SemanticCore.Class.cv nb078AlphaDummy767)
(Compiler.CompactSourceSyntax.synCcnv (SemanticCore.Class.cv nb078AlphaDummy002))
(SemanticCore.Class.cv nb078AlphaDummy769))
(Compiler.CompactSourceSyntax.synWbr (SemanticCore.Class.cv nb078AlphaDummy769)
(SemanticCore.Class.cv nb078AlphaDummy002) (SemanticCore.Class.cv nb078AlphaDummy768)))).fv
theorem
NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb078_support_mem_0965
(h : SemanticCore.Var)
:
h ∈ {nb078AlphaDummy770 h} ∪ {nb078AlphaDummy771 h} ∪ (Compiler.CompactSourceSyntax.synWex (nb078AlphaDummy772 h)
(Compiler.CompactSourceSyntax.synWa
(Compiler.CompactSourceSyntax.synWbr (SemanticCore.Class.cv (nb078AlphaDummy770 h))
(Compiler.CompactSourceSyntax.synCcnv (SemanticCore.Class.cv h))
(SemanticCore.Class.cv (nb078AlphaDummy772 h)))
(Compiler.CompactSourceSyntax.synWbr (SemanticCore.Class.cv (nb078AlphaDummy772 h)) (SemanticCore.Class.cv h)
(SemanticCore.Class.cv (nb078AlphaDummy771 h))))).fv
theorem
NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb078_support_mem_0971 :
nb078AlphaDummy769 ∈ (Compiler.CompactSourceSyntax.synCcompl
(SemanticCore.Class.cab nb078AlphaDummy925
(Compiler.CompactSourceSyntax.synWrex nb078AlphaDummy926 (SemanticCore.Class.cv nb078AlphaDummy769)
(SemanticCore.Wff.classEq (SemanticCore.Class.cv nb078AlphaDummy925)
(Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv nb078AlphaDummy926)))))).fv ∪ (Compiler.CompactSourceSyntax.synCcompl
(SemanticCore.Class.cab nb078AlphaDummy925
(Compiler.CompactSourceSyntax.synWrex nb078AlphaDummy926 (SemanticCore.Class.cv nb078AlphaDummy768)
(SemanticCore.Wff.classEq (SemanticCore.Class.cv nb078AlphaDummy925)
(Compiler.CompactSourceSyntax.synCun
(Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv nb078AlphaDummy926))
(Compiler.CompactSourceSyntax.synCsn Compiler.CompactSourceSyntax.synC0c)))))).fv
theorem
NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb078_support_mem_0973
(h : SemanticCore.Var)
:
nb078AlphaDummy772 h ∈ (Compiler.CompactSourceSyntax.synCcompl
(SemanticCore.Class.cab (nb078AlphaDummy927 h)
(Compiler.CompactSourceSyntax.synWrex (nb078AlphaDummy928 h) (SemanticCore.Class.cv (nb078AlphaDummy772 h))
(SemanticCore.Wff.classEq (SemanticCore.Class.cv (nb078AlphaDummy927 h))
(Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv (nb078AlphaDummy928 h))))))).fv ∪ (Compiler.CompactSourceSyntax.synCcompl
(SemanticCore.Class.cab (nb078AlphaDummy927 h)
(Compiler.CompactSourceSyntax.synWrex (nb078AlphaDummy928 h) (SemanticCore.Class.cv (nb078AlphaDummy771 h))
(SemanticCore.Wff.classEq (SemanticCore.Class.cv (nb078AlphaDummy927 h))
(Compiler.CompactSourceSyntax.synCun
(Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv (nb078AlphaDummy928 h)))
(Compiler.CompactSourceSyntax.synCsn Compiler.CompactSourceSyntax.synC0c)))))).fv
theorem
NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb078_support_mem_0974 :
nb078AlphaDummy769 ∈ (SemanticCore.Class.cab nb078AlphaDummy925
(Compiler.CompactSourceSyntax.synWrex nb078AlphaDummy926 (SemanticCore.Class.cv nb078AlphaDummy769)
(SemanticCore.Wff.classEq (SemanticCore.Class.cv nb078AlphaDummy925)
(Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv nb078AlphaDummy926))))).fv ∪ (SemanticCore.Class.cab nb078AlphaDummy925
(Compiler.CompactSourceSyntax.synWrex nb078AlphaDummy926 (SemanticCore.Class.cv nb078AlphaDummy769)
(SemanticCore.Wff.classEq (SemanticCore.Class.cv nb078AlphaDummy925)
(Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv nb078AlphaDummy926))))).fv
theorem
NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb078_support_mem_0975
(h : SemanticCore.Var)
:
nb078AlphaDummy772 h ∈ (SemanticCore.Class.cab (nb078AlphaDummy927 h)
(Compiler.CompactSourceSyntax.synWrex (nb078AlphaDummy928 h) (SemanticCore.Class.cv (nb078AlphaDummy772 h))
(SemanticCore.Wff.classEq (SemanticCore.Class.cv (nb078AlphaDummy927 h))
(Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv (nb078AlphaDummy928 h)))))).fv ∪ (SemanticCore.Class.cab (nb078AlphaDummy927 h)
(Compiler.CompactSourceSyntax.synWrex (nb078AlphaDummy928 h) (SemanticCore.Class.cv (nb078AlphaDummy772 h))
(SemanticCore.Wff.classEq (SemanticCore.Class.cv (nb078AlphaDummy927 h))
(Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv (nb078AlphaDummy928 h)))))).fv
theorem
NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb078_support_mem_0978 :
nb078AlphaDummy933 ∈ (SemanticCore.Wff.classMem (SemanticCore.Class.cv nb078AlphaDummy933) Compiler.CompactSourceSyntax.synCnnc).fv ∪ (Compiler.CompactSourceSyntax.synCplc (SemanticCore.Class.cv nb078AlphaDummy933)
Compiler.CompactSourceSyntax.synC1c).fv ∪ (SemanticCore.Class.cv nb078AlphaDummy933).fv
theorem
NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb078_support_mem_0979
(h : SemanticCore.Var)
:
nb078AlphaDummy935 h ∈ (SemanticCore.Wff.classMem (SemanticCore.Class.cv (nb078AlphaDummy935 h)) Compiler.CompactSourceSyntax.synCnnc).fv ∪ (Compiler.CompactSourceSyntax.synCplc (SemanticCore.Class.cv (nb078AlphaDummy935 h))
Compiler.CompactSourceSyntax.synC1c).fv ∪ (SemanticCore.Class.cv (nb078AlphaDummy935 h)).fv
theorem
NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb078_support_mem_0999 :
nb078AlphaDummy768 ∈ (Compiler.CompactSourceSyntax.synCcompl
(SemanticCore.Class.cab nb078AlphaDummy925
(Compiler.CompactSourceSyntax.synWrex nb078AlphaDummy926 (SemanticCore.Class.cv nb078AlphaDummy769)
(SemanticCore.Wff.classEq (SemanticCore.Class.cv nb078AlphaDummy925)
(Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv nb078AlphaDummy926)))))).fv ∪ (Compiler.CompactSourceSyntax.synCcompl
(SemanticCore.Class.cab nb078AlphaDummy925
(Compiler.CompactSourceSyntax.synWrex nb078AlphaDummy926 (SemanticCore.Class.cv nb078AlphaDummy768)
(SemanticCore.Wff.classEq (SemanticCore.Class.cv nb078AlphaDummy925)
(Compiler.CompactSourceSyntax.synCun
(Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv nb078AlphaDummy926))
(Compiler.CompactSourceSyntax.synCsn Compiler.CompactSourceSyntax.synC0c)))))).fv
theorem
NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb078_support_mem_1001
(h : SemanticCore.Var)
:
nb078AlphaDummy771 h ∈ (Compiler.CompactSourceSyntax.synCcompl
(SemanticCore.Class.cab (nb078AlphaDummy927 h)
(Compiler.CompactSourceSyntax.synWrex (nb078AlphaDummy928 h) (SemanticCore.Class.cv (nb078AlphaDummy772 h))
(SemanticCore.Wff.classEq (SemanticCore.Class.cv (nb078AlphaDummy927 h))
(Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv (nb078AlphaDummy928 h))))))).fv ∪ (Compiler.CompactSourceSyntax.synCcompl
(SemanticCore.Class.cab (nb078AlphaDummy927 h)
(Compiler.CompactSourceSyntax.synWrex (nb078AlphaDummy928 h) (SemanticCore.Class.cv (nb078AlphaDummy771 h))
(SemanticCore.Wff.classEq (SemanticCore.Class.cv (nb078AlphaDummy927 h))
(Compiler.CompactSourceSyntax.synCun
(Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv (nb078AlphaDummy928 h)))
(Compiler.CompactSourceSyntax.synCsn Compiler.CompactSourceSyntax.synC0c)))))).fv
theorem
NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb078_support_mem_1002 :
nb078AlphaDummy768 ∈ (SemanticCore.Class.cab nb078AlphaDummy925
(Compiler.CompactSourceSyntax.synWrex nb078AlphaDummy926 (SemanticCore.Class.cv nb078AlphaDummy768)
(SemanticCore.Wff.classEq (SemanticCore.Class.cv nb078AlphaDummy925)
(Compiler.CompactSourceSyntax.synCun
(Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv nb078AlphaDummy926))
(Compiler.CompactSourceSyntax.synCsn Compiler.CompactSourceSyntax.synC0c))))).fv ∪ (SemanticCore.Class.cab nb078AlphaDummy925
(Compiler.CompactSourceSyntax.synWrex nb078AlphaDummy926 (SemanticCore.Class.cv nb078AlphaDummy768)
(SemanticCore.Wff.classEq (SemanticCore.Class.cv nb078AlphaDummy925)
(Compiler.CompactSourceSyntax.synCun
(Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv nb078AlphaDummy926))
(Compiler.CompactSourceSyntax.synCsn Compiler.CompactSourceSyntax.synC0c))))).fv
theorem
NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb078_support_mem_1003
(h : SemanticCore.Var)
:
nb078AlphaDummy771 h ∈ (SemanticCore.Class.cab (nb078AlphaDummy927 h)
(Compiler.CompactSourceSyntax.synWrex (nb078AlphaDummy928 h) (SemanticCore.Class.cv (nb078AlphaDummy771 h))
(SemanticCore.Wff.classEq (SemanticCore.Class.cv (nb078AlphaDummy927 h))
(Compiler.CompactSourceSyntax.synCun
(Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv (nb078AlphaDummy928 h)))
(Compiler.CompactSourceSyntax.synCsn Compiler.CompactSourceSyntax.synC0c))))).fv ∪ (SemanticCore.Class.cab (nb078AlphaDummy927 h)
(Compiler.CompactSourceSyntax.synWrex (nb078AlphaDummy928 h) (SemanticCore.Class.cv (nb078AlphaDummy771 h))
(SemanticCore.Wff.classEq (SemanticCore.Class.cv (nb078AlphaDummy927 h))
(Compiler.CompactSourceSyntax.synCun
(Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv (nb078AlphaDummy928 h)))
(Compiler.CompactSourceSyntax.synCsn Compiler.CompactSourceSyntax.synC0c))))).fv
theorem
NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb078_support_mem_1009 :
nb078AlphaDummy962 ∈ (Compiler.CompactSourceSyntax.synCcompl
(SemanticCore.Class.cab nb078AlphaDummy965
(Compiler.CompactSourceSyntax.synWrex nb078AlphaDummy966 (SemanticCore.Class.cv nb078AlphaDummy962)
(SemanticCore.Wff.classEq (SemanticCore.Class.cv nb078AlphaDummy965)
(Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv nb078AlphaDummy966)))))).fv ∪ (Compiler.CompactSourceSyntax.synCcompl
(SemanticCore.Class.cab nb078AlphaDummy965
(Compiler.CompactSourceSyntax.synWrex nb078AlphaDummy966 (SemanticCore.Class.cv nb078AlphaDummy961)
(SemanticCore.Wff.classEq (SemanticCore.Class.cv nb078AlphaDummy965)
(Compiler.CompactSourceSyntax.synCun
(Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv nb078AlphaDummy966))
(Compiler.CompactSourceSyntax.synCsn Compiler.CompactSourceSyntax.synC0c)))))).fv
theorem
NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb078_support_mem_1011
(h : SemanticCore.Var)
:
nb078AlphaDummy964 h ∈ (Compiler.CompactSourceSyntax.synCcompl
(SemanticCore.Class.cab (nb078AlphaDummy967 h)
(Compiler.CompactSourceSyntax.synWrex (nb078AlphaDummy968 h) (SemanticCore.Class.cv (nb078AlphaDummy964 h))
(SemanticCore.Wff.classEq (SemanticCore.Class.cv (nb078AlphaDummy967 h))
(Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv (nb078AlphaDummy968 h))))))).fv ∪ (Compiler.CompactSourceSyntax.synCcompl
(SemanticCore.Class.cab (nb078AlphaDummy967 h)
(Compiler.CompactSourceSyntax.synWrex (nb078AlphaDummy968 h) (SemanticCore.Class.cv (nb078AlphaDummy963 h))
(SemanticCore.Wff.classEq (SemanticCore.Class.cv (nb078AlphaDummy967 h))
(Compiler.CompactSourceSyntax.synCun
(Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv (nb078AlphaDummy968 h)))
(Compiler.CompactSourceSyntax.synCsn Compiler.CompactSourceSyntax.synC0c)))))).fv
theorem
NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb078_support_mem_1012 :
nb078AlphaDummy962 ∈ (SemanticCore.Class.cab nb078AlphaDummy965
(Compiler.CompactSourceSyntax.synWrex nb078AlphaDummy966 (SemanticCore.Class.cv nb078AlphaDummy962)
(SemanticCore.Wff.classEq (SemanticCore.Class.cv nb078AlphaDummy965)
(Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv nb078AlphaDummy966))))).fv ∪ (SemanticCore.Class.cab nb078AlphaDummy965
(Compiler.CompactSourceSyntax.synWrex nb078AlphaDummy966 (SemanticCore.Class.cv nb078AlphaDummy962)
(SemanticCore.Wff.classEq (SemanticCore.Class.cv nb078AlphaDummy965)
(Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv nb078AlphaDummy966))))).fv
theorem
NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb078_support_mem_1013
(h : SemanticCore.Var)
:
nb078AlphaDummy964 h ∈ (SemanticCore.Class.cab (nb078AlphaDummy967 h)
(Compiler.CompactSourceSyntax.synWrex (nb078AlphaDummy968 h) (SemanticCore.Class.cv (nb078AlphaDummy964 h))
(SemanticCore.Wff.classEq (SemanticCore.Class.cv (nb078AlphaDummy967 h))
(Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv (nb078AlphaDummy968 h)))))).fv ∪ (SemanticCore.Class.cab (nb078AlphaDummy967 h)
(Compiler.CompactSourceSyntax.synWrex (nb078AlphaDummy968 h) (SemanticCore.Class.cv (nb078AlphaDummy964 h))
(SemanticCore.Wff.classEq (SemanticCore.Class.cv (nb078AlphaDummy967 h))
(Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv (nb078AlphaDummy968 h)))))).fv
theorem
NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb078_support_mem_1016 :
nb078AlphaDummy973 ∈ (SemanticCore.Wff.classMem (SemanticCore.Class.cv nb078AlphaDummy973) Compiler.CompactSourceSyntax.synCnnc).fv ∪ (Compiler.CompactSourceSyntax.synCplc (SemanticCore.Class.cv nb078AlphaDummy973)
Compiler.CompactSourceSyntax.synC1c).fv ∪ (SemanticCore.Class.cv nb078AlphaDummy973).fv
Certificates from NAR4C078C001Part029.
theorem
NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb078_support_mem_1017
(h : SemanticCore.Var)
:
nb078AlphaDummy975 h ∈ (SemanticCore.Wff.classMem (SemanticCore.Class.cv (nb078AlphaDummy975 h)) Compiler.CompactSourceSyntax.synCnnc).fv ∪ (Compiler.CompactSourceSyntax.synCplc (SemanticCore.Class.cv (nb078AlphaDummy975 h))
Compiler.CompactSourceSyntax.synC1c).fv ∪ (SemanticCore.Class.cv (nb078AlphaDummy975 h)).fv
theorem
NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb078_support_mem_1037 :
nb078AlphaDummy961 ∈ (Compiler.CompactSourceSyntax.synCcompl
(SemanticCore.Class.cab nb078AlphaDummy965
(Compiler.CompactSourceSyntax.synWrex nb078AlphaDummy966 (SemanticCore.Class.cv nb078AlphaDummy962)
(SemanticCore.Wff.classEq (SemanticCore.Class.cv nb078AlphaDummy965)
(Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv nb078AlphaDummy966)))))).fv ∪ (Compiler.CompactSourceSyntax.synCcompl
(SemanticCore.Class.cab nb078AlphaDummy965
(Compiler.CompactSourceSyntax.synWrex nb078AlphaDummy966 (SemanticCore.Class.cv nb078AlphaDummy961)
(SemanticCore.Wff.classEq (SemanticCore.Class.cv nb078AlphaDummy965)
(Compiler.CompactSourceSyntax.synCun
(Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv nb078AlphaDummy966))
(Compiler.CompactSourceSyntax.synCsn Compiler.CompactSourceSyntax.synC0c)))))).fv
theorem
NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb078_support_mem_1039
(h : SemanticCore.Var)
:
nb078AlphaDummy963 h ∈ (Compiler.CompactSourceSyntax.synCcompl
(SemanticCore.Class.cab (nb078AlphaDummy967 h)
(Compiler.CompactSourceSyntax.synWrex (nb078AlphaDummy968 h) (SemanticCore.Class.cv (nb078AlphaDummy964 h))
(SemanticCore.Wff.classEq (SemanticCore.Class.cv (nb078AlphaDummy967 h))
(Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv (nb078AlphaDummy968 h))))))).fv ∪ (Compiler.CompactSourceSyntax.synCcompl
(SemanticCore.Class.cab (nb078AlphaDummy967 h)
(Compiler.CompactSourceSyntax.synWrex (nb078AlphaDummy968 h) (SemanticCore.Class.cv (nb078AlphaDummy963 h))
(SemanticCore.Wff.classEq (SemanticCore.Class.cv (nb078AlphaDummy967 h))
(Compiler.CompactSourceSyntax.synCun
(Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv (nb078AlphaDummy968 h)))
(Compiler.CompactSourceSyntax.synCsn Compiler.CompactSourceSyntax.synC0c)))))).fv
theorem
NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb078_support_mem_1040 :
nb078AlphaDummy961 ∈ (SemanticCore.Class.cab nb078AlphaDummy965
(Compiler.CompactSourceSyntax.synWrex nb078AlphaDummy966 (SemanticCore.Class.cv nb078AlphaDummy961)
(SemanticCore.Wff.classEq (SemanticCore.Class.cv nb078AlphaDummy965)
(Compiler.CompactSourceSyntax.synCun
(Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv nb078AlphaDummy966))
(Compiler.CompactSourceSyntax.synCsn Compiler.CompactSourceSyntax.synC0c))))).fv ∪ (SemanticCore.Class.cab nb078AlphaDummy965
(Compiler.CompactSourceSyntax.synWrex nb078AlphaDummy966 (SemanticCore.Class.cv nb078AlphaDummy961)
(SemanticCore.Wff.classEq (SemanticCore.Class.cv nb078AlphaDummy965)
(Compiler.CompactSourceSyntax.synCun
(Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv nb078AlphaDummy966))
(Compiler.CompactSourceSyntax.synCsn Compiler.CompactSourceSyntax.synC0c))))).fv
theorem
NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb078_support_mem_1041
(h : SemanticCore.Var)
:
nb078AlphaDummy963 h ∈ (SemanticCore.Class.cab (nb078AlphaDummy967 h)
(Compiler.CompactSourceSyntax.synWrex (nb078AlphaDummy968 h) (SemanticCore.Class.cv (nb078AlphaDummy963 h))
(SemanticCore.Wff.classEq (SemanticCore.Class.cv (nb078AlphaDummy967 h))
(Compiler.CompactSourceSyntax.synCun
(Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv (nb078AlphaDummy968 h)))
(Compiler.CompactSourceSyntax.synCsn Compiler.CompactSourceSyntax.synC0c))))).fv ∪ (SemanticCore.Class.cab (nb078AlphaDummy967 h)
(Compiler.CompactSourceSyntax.synWrex (nb078AlphaDummy968 h) (SemanticCore.Class.cv (nb078AlphaDummy963 h))
(SemanticCore.Wff.classEq (SemanticCore.Class.cv (nb078AlphaDummy967 h))
(Compiler.CompactSourceSyntax.synCun
(Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv (nb078AlphaDummy968 h)))
(Compiler.CompactSourceSyntax.synCsn Compiler.CompactSourceSyntax.synC0c))))).fv
theorem
NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb078_support_mem_1049 :
nb078AlphaDummy1006 ∈ (Compiler.CompactSourceSyntax.synCcompl
(SemanticCore.Class.cab nb078AlphaDummy1009
(Compiler.CompactSourceSyntax.synWrex nb078AlphaDummy1010 (SemanticCore.Class.cv nb078AlphaDummy1006)
(SemanticCore.Wff.classEq (SemanticCore.Class.cv nb078AlphaDummy1009)
(Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv nb078AlphaDummy1010)))))).fv ∪ (Compiler.CompactSourceSyntax.synCcompl
(SemanticCore.Class.cab nb078AlphaDummy1009
(Compiler.CompactSourceSyntax.synWrex nb078AlphaDummy1010 (SemanticCore.Class.cv nb078AlphaDummy1005)
(SemanticCore.Wff.classEq (SemanticCore.Class.cv nb078AlphaDummy1009)
(Compiler.CompactSourceSyntax.synCun
(Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv nb078AlphaDummy1010))
(Compiler.CompactSourceSyntax.synCsn Compiler.CompactSourceSyntax.synC0c)))))).fv
theorem
NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb078_support_mem_1051
(h : SemanticCore.Var)
:
nb078AlphaDummy1008 h ∈ (Compiler.CompactSourceSyntax.synCcompl
(SemanticCore.Class.cab (nb078AlphaDummy1011 h)
(Compiler.CompactSourceSyntax.synWrex (nb078AlphaDummy1012 h) (SemanticCore.Class.cv (nb078AlphaDummy1008 h))
(SemanticCore.Wff.classEq (SemanticCore.Class.cv (nb078AlphaDummy1011 h))
(Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv (nb078AlphaDummy1012 h))))))).fv ∪ (Compiler.CompactSourceSyntax.synCcompl
(SemanticCore.Class.cab (nb078AlphaDummy1011 h)
(Compiler.CompactSourceSyntax.synWrex (nb078AlphaDummy1012 h) (SemanticCore.Class.cv (nb078AlphaDummy1007 h))
(SemanticCore.Wff.classEq (SemanticCore.Class.cv (nb078AlphaDummy1011 h))
(Compiler.CompactSourceSyntax.synCun
(Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv (nb078AlphaDummy1012 h)))
(Compiler.CompactSourceSyntax.synCsn Compiler.CompactSourceSyntax.synC0c)))))).fv
theorem
NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb078_support_mem_1052 :
nb078AlphaDummy1006 ∈ (SemanticCore.Class.cab nb078AlphaDummy1009
(Compiler.CompactSourceSyntax.synWrex nb078AlphaDummy1010 (SemanticCore.Class.cv nb078AlphaDummy1006)
(SemanticCore.Wff.classEq (SemanticCore.Class.cv nb078AlphaDummy1009)
(Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv nb078AlphaDummy1010))))).fv ∪ (SemanticCore.Class.cab nb078AlphaDummy1009
(Compiler.CompactSourceSyntax.synWrex nb078AlphaDummy1010 (SemanticCore.Class.cv nb078AlphaDummy1006)
(SemanticCore.Wff.classEq (SemanticCore.Class.cv nb078AlphaDummy1009)
(Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv nb078AlphaDummy1010))))).fv
theorem
NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb078_support_mem_1053
(h : SemanticCore.Var)
:
nb078AlphaDummy1008 h ∈ (SemanticCore.Class.cab (nb078AlphaDummy1011 h)
(Compiler.CompactSourceSyntax.synWrex (nb078AlphaDummy1012 h) (SemanticCore.Class.cv (nb078AlphaDummy1008 h))
(SemanticCore.Wff.classEq (SemanticCore.Class.cv (nb078AlphaDummy1011 h))
(Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv (nb078AlphaDummy1012 h)))))).fv ∪ (SemanticCore.Class.cab (nb078AlphaDummy1011 h)
(Compiler.CompactSourceSyntax.synWrex (nb078AlphaDummy1012 h) (SemanticCore.Class.cv (nb078AlphaDummy1008 h))
(SemanticCore.Wff.classEq (SemanticCore.Class.cv (nb078AlphaDummy1011 h))
(Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv (nb078AlphaDummy1012 h)))))).fv
theorem
NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb078_support_mem_1056 :
nb078AlphaDummy1017 ∈ (SemanticCore.Wff.classMem (SemanticCore.Class.cv nb078AlphaDummy1017) Compiler.CompactSourceSyntax.synCnnc).fv ∪ (Compiler.CompactSourceSyntax.synCplc (SemanticCore.Class.cv nb078AlphaDummy1017)
Compiler.CompactSourceSyntax.synC1c).fv ∪ (SemanticCore.Class.cv nb078AlphaDummy1017).fv
theorem
NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb078_support_mem_1057
(h : SemanticCore.Var)
:
nb078AlphaDummy1019 h ∈ (SemanticCore.Wff.classMem (SemanticCore.Class.cv (nb078AlphaDummy1019 h)) Compiler.CompactSourceSyntax.synCnnc).fv ∪ (Compiler.CompactSourceSyntax.synCplc (SemanticCore.Class.cv (nb078AlphaDummy1019 h))
Compiler.CompactSourceSyntax.synC1c).fv ∪ (SemanticCore.Class.cv (nb078AlphaDummy1019 h)).fv
theorem
NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb078_support_mem_1061
(h : SemanticCore.Var)
:
nb078AlphaDummy1027 h ∈ (Compiler.CompactSourceSyntax.synCnin (SemanticCore.Class.cv (nb078AlphaDummy1027 h))
(SemanticCore.Class.cv (nb078AlphaDummy1028 h))).fv ∪ (Compiler.CompactSourceSyntax.synCnin (SemanticCore.Class.cv (nb078AlphaDummy1027 h))
(SemanticCore.Class.cv (nb078AlphaDummy1028 h))).fv
theorem
NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb078_support_mem_1065
(h : SemanticCore.Var)
:
nb078AlphaDummy1028 h ∈ (Compiler.CompactSourceSyntax.synCnin (SemanticCore.Class.cv (nb078AlphaDummy1027 h))
(SemanticCore.Class.cv (nb078AlphaDummy1028 h))).fv ∪ (Compiler.CompactSourceSyntax.synCnin (SemanticCore.Class.cv (nb078AlphaDummy1027 h))
(SemanticCore.Class.cv (nb078AlphaDummy1028 h))).fv
theorem
NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb078_support_mem_1077 :
nb078AlphaDummy1005 ∈ (Compiler.CompactSourceSyntax.synCcompl
(SemanticCore.Class.cab nb078AlphaDummy1009
(Compiler.CompactSourceSyntax.synWrex nb078AlphaDummy1010 (SemanticCore.Class.cv nb078AlphaDummy1006)
(SemanticCore.Wff.classEq (SemanticCore.Class.cv nb078AlphaDummy1009)
(Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv nb078AlphaDummy1010)))))).fv ∪ (Compiler.CompactSourceSyntax.synCcompl
(SemanticCore.Class.cab nb078AlphaDummy1009
(Compiler.CompactSourceSyntax.synWrex nb078AlphaDummy1010 (SemanticCore.Class.cv nb078AlphaDummy1005)
(SemanticCore.Wff.classEq (SemanticCore.Class.cv nb078AlphaDummy1009)
(Compiler.CompactSourceSyntax.synCun
(Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv nb078AlphaDummy1010))
(Compiler.CompactSourceSyntax.synCsn Compiler.CompactSourceSyntax.synC0c)))))).fv
theorem
NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb078_support_mem_1079
(h : SemanticCore.Var)
:
nb078AlphaDummy1007 h ∈ (Compiler.CompactSourceSyntax.synCcompl
(SemanticCore.Class.cab (nb078AlphaDummy1011 h)
(Compiler.CompactSourceSyntax.synWrex (nb078AlphaDummy1012 h) (SemanticCore.Class.cv (nb078AlphaDummy1008 h))
(SemanticCore.Wff.classEq (SemanticCore.Class.cv (nb078AlphaDummy1011 h))
(Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv (nb078AlphaDummy1012 h))))))).fv ∪ (Compiler.CompactSourceSyntax.synCcompl
(SemanticCore.Class.cab (nb078AlphaDummy1011 h)
(Compiler.CompactSourceSyntax.synWrex (nb078AlphaDummy1012 h) (SemanticCore.Class.cv (nb078AlphaDummy1007 h))
(SemanticCore.Wff.classEq (SemanticCore.Class.cv (nb078AlphaDummy1011 h))
(Compiler.CompactSourceSyntax.synCun
(Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv (nb078AlphaDummy1012 h)))
(Compiler.CompactSourceSyntax.synCsn Compiler.CompactSourceSyntax.synC0c)))))).fv
theorem
NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb078_support_mem_1080 :
nb078AlphaDummy1005 ∈ (SemanticCore.Class.cab nb078AlphaDummy1009
(Compiler.CompactSourceSyntax.synWrex nb078AlphaDummy1010 (SemanticCore.Class.cv nb078AlphaDummy1005)
(SemanticCore.Wff.classEq (SemanticCore.Class.cv nb078AlphaDummy1009)
(Compiler.CompactSourceSyntax.synCun
(Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv nb078AlphaDummy1010))
(Compiler.CompactSourceSyntax.synCsn Compiler.CompactSourceSyntax.synC0c))))).fv ∪ (SemanticCore.Class.cab nb078AlphaDummy1009
(Compiler.CompactSourceSyntax.synWrex nb078AlphaDummy1010 (SemanticCore.Class.cv nb078AlphaDummy1005)
(SemanticCore.Wff.classEq (SemanticCore.Class.cv nb078AlphaDummy1009)
(Compiler.CompactSourceSyntax.synCun
(Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv nb078AlphaDummy1010))
(Compiler.CompactSourceSyntax.synCsn Compiler.CompactSourceSyntax.synC0c))))).fv
theorem
NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb078_support_mem_1081
(h : SemanticCore.Var)
:
nb078AlphaDummy1007 h ∈ (SemanticCore.Class.cab (nb078AlphaDummy1011 h)
(Compiler.CompactSourceSyntax.synWrex (nb078AlphaDummy1012 h) (SemanticCore.Class.cv (nb078AlphaDummy1007 h))
(SemanticCore.Wff.classEq (SemanticCore.Class.cv (nb078AlphaDummy1011 h))
(Compiler.CompactSourceSyntax.synCun
(Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv (nb078AlphaDummy1012 h)))
(Compiler.CompactSourceSyntax.synCsn Compiler.CompactSourceSyntax.synC0c))))).fv ∪ (SemanticCore.Class.cab (nb078AlphaDummy1011 h)
(Compiler.CompactSourceSyntax.synWrex (nb078AlphaDummy1012 h) (SemanticCore.Class.cv (nb078AlphaDummy1007 h))
(SemanticCore.Wff.classEq (SemanticCore.Class.cv (nb078AlphaDummy1011 h))
(Compiler.CompactSourceSyntax.synCun
(Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv (nb078AlphaDummy1012 h)))
(Compiler.CompactSourceSyntax.synCsn Compiler.CompactSourceSyntax.synC0c))))).fv
theorem
NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb078_support_mem_1086 :
nb078AlphaDummy002 ∈ (Compiler.CompactSourceSyntax.synCnin (Compiler.CompactSourceSyntax.synCrn (SemanticCore.Class.cv nb078AlphaDummy002))
(SemanticCore.Class.cv nb078AlphaDummy004)).fv ∪ (Compiler.CompactSourceSyntax.synCnin
(Compiler.CompactSourceSyntax.synCrn (SemanticCore.Class.cv nb078AlphaDummy002))
(SemanticCore.Class.cv nb078AlphaDummy004)).fv
theorem
NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb078_support_mem_1092 :
nb078AlphaDummy004 ∈ (Compiler.CompactSourceSyntax.synCnin (Compiler.CompactSourceSyntax.synCrn (SemanticCore.Class.cv nb078AlphaDummy002))
(SemanticCore.Class.cv nb078AlphaDummy004)).fv ∪ (Compiler.CompactSourceSyntax.synCnin
(Compiler.CompactSourceSyntax.synCrn (SemanticCore.Class.cv nb078AlphaDummy002))
(SemanticCore.Class.cv nb078AlphaDummy004)).fv
theorem
NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb078_support_mem_1096 :
nb078AlphaDummy1049 ∈ {nb078AlphaDummy1049} ∪ {nb078AlphaDummy1050} ∪ (Compiler.CompactSourceSyntax.synWex nb078AlphaDummy1051
(Compiler.CompactSourceSyntax.synWa
(Compiler.CompactSourceSyntax.synWbr (SemanticCore.Class.cv nb078AlphaDummy1049)
(Compiler.CompactSourceSyntax.synCcnv
(Compiler.CompactSourceSyntax.synCcnv (SemanticCore.Class.cv nb078AlphaDummy002)))
(SemanticCore.Class.cv nb078AlphaDummy1051))
(Compiler.CompactSourceSyntax.synWbr (SemanticCore.Class.cv nb078AlphaDummy1051)
(Compiler.CompactSourceSyntax.synCcnv (SemanticCore.Class.cv nb078AlphaDummy002))
(SemanticCore.Class.cv nb078AlphaDummy1050)))).fv
theorem
NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb078_support_mem_1097
(h : SemanticCore.Var)
:
nb078AlphaDummy1052 h ∈ {nb078AlphaDummy1052 h} ∪ {nb078AlphaDummy1053 h} ∪ (Compiler.CompactSourceSyntax.synWex (nb078AlphaDummy1054 h)
(Compiler.CompactSourceSyntax.synWa
(Compiler.CompactSourceSyntax.synWbr (SemanticCore.Class.cv (nb078AlphaDummy1052 h))
(Compiler.CompactSourceSyntax.synCcnv (Compiler.CompactSourceSyntax.synCcnv (SemanticCore.Class.cv h)))
(SemanticCore.Class.cv (nb078AlphaDummy1054 h)))
(Compiler.CompactSourceSyntax.synWbr (SemanticCore.Class.cv (nb078AlphaDummy1054 h))
(Compiler.CompactSourceSyntax.synCcnv (SemanticCore.Class.cv h))
(SemanticCore.Class.cv (nb078AlphaDummy1053 h))))).fv
theorem
NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb078_support_mem_1098 :
nb078AlphaDummy1050 ∈ {nb078AlphaDummy1049} ∪ {nb078AlphaDummy1050} ∪ (Compiler.CompactSourceSyntax.synWex nb078AlphaDummy1051
(Compiler.CompactSourceSyntax.synWa
(Compiler.CompactSourceSyntax.synWbr (SemanticCore.Class.cv nb078AlphaDummy1049)
(Compiler.CompactSourceSyntax.synCcnv
(Compiler.CompactSourceSyntax.synCcnv (SemanticCore.Class.cv nb078AlphaDummy002)))
(SemanticCore.Class.cv nb078AlphaDummy1051))
(Compiler.CompactSourceSyntax.synWbr (SemanticCore.Class.cv nb078AlphaDummy1051)
(Compiler.CompactSourceSyntax.synCcnv (SemanticCore.Class.cv nb078AlphaDummy002))
(SemanticCore.Class.cv nb078AlphaDummy1050)))).fv
theorem
NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb078_support_mem_1099
(h : SemanticCore.Var)
:
nb078AlphaDummy1053 h ∈ {nb078AlphaDummy1052 h} ∪ {nb078AlphaDummy1053 h} ∪ (Compiler.CompactSourceSyntax.synWex (nb078AlphaDummy1054 h)
(Compiler.CompactSourceSyntax.synWa
(Compiler.CompactSourceSyntax.synWbr (SemanticCore.Class.cv (nb078AlphaDummy1052 h))
(Compiler.CompactSourceSyntax.synCcnv (Compiler.CompactSourceSyntax.synCcnv (SemanticCore.Class.cv h)))
(SemanticCore.Class.cv (nb078AlphaDummy1054 h)))
(Compiler.CompactSourceSyntax.synWbr (SemanticCore.Class.cv (nb078AlphaDummy1054 h))
(Compiler.CompactSourceSyntax.synCcnv (SemanticCore.Class.cv h))
(SemanticCore.Class.cv (nb078AlphaDummy1053 h))))).fv
theorem
NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb078_support_mem_1101 :
nb078AlphaDummy1049 ∈ (Compiler.CompactSourceSyntax.synCcompl
(SemanticCore.Class.cab nb078AlphaDummy1057
(Compiler.CompactSourceSyntax.synWrex nb078AlphaDummy1058 (SemanticCore.Class.cv nb078AlphaDummy1049)
(SemanticCore.Wff.classEq (SemanticCore.Class.cv nb078AlphaDummy1057)
(Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv nb078AlphaDummy1058)))))).fv ∪ (Compiler.CompactSourceSyntax.synCcompl
(SemanticCore.Class.cab nb078AlphaDummy1057
(Compiler.CompactSourceSyntax.synWrex nb078AlphaDummy1058 (SemanticCore.Class.cv nb078AlphaDummy1050)
(SemanticCore.Wff.classEq (SemanticCore.Class.cv nb078AlphaDummy1057)
(Compiler.CompactSourceSyntax.synCun
(Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv nb078AlphaDummy1058))
(Compiler.CompactSourceSyntax.synCsn Compiler.CompactSourceSyntax.synC0c)))))).fv
theorem
NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb078_support_mem_1103
(h : SemanticCore.Var)
:
nb078AlphaDummy1052 h ∈ (Compiler.CompactSourceSyntax.synCcompl
(SemanticCore.Class.cab (nb078AlphaDummy1059 h)
(Compiler.CompactSourceSyntax.synWrex (nb078AlphaDummy1060 h) (SemanticCore.Class.cv (nb078AlphaDummy1052 h))
(SemanticCore.Wff.classEq (SemanticCore.Class.cv (nb078AlphaDummy1059 h))
(Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv (nb078AlphaDummy1060 h))))))).fv ∪ (Compiler.CompactSourceSyntax.synCcompl
(SemanticCore.Class.cab (nb078AlphaDummy1059 h)
(Compiler.CompactSourceSyntax.synWrex (nb078AlphaDummy1060 h) (SemanticCore.Class.cv (nb078AlphaDummy1053 h))
(SemanticCore.Wff.classEq (SemanticCore.Class.cv (nb078AlphaDummy1059 h))
(Compiler.CompactSourceSyntax.synCun
(Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv (nb078AlphaDummy1060 h)))
(Compiler.CompactSourceSyntax.synCsn Compiler.CompactSourceSyntax.synC0c)))))).fv
theorem
NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb078_support_mem_1104 :
nb078AlphaDummy1049 ∈ (SemanticCore.Class.cab nb078AlphaDummy1057
(Compiler.CompactSourceSyntax.synWrex nb078AlphaDummy1058 (SemanticCore.Class.cv nb078AlphaDummy1049)
(SemanticCore.Wff.classEq (SemanticCore.Class.cv nb078AlphaDummy1057)
(Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv nb078AlphaDummy1058))))).fv ∪ (SemanticCore.Class.cab nb078AlphaDummy1057
(Compiler.CompactSourceSyntax.synWrex nb078AlphaDummy1058 (SemanticCore.Class.cv nb078AlphaDummy1049)
(SemanticCore.Wff.classEq (SemanticCore.Class.cv nb078AlphaDummy1057)
(Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv nb078AlphaDummy1058))))).fv
theorem
NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb078_support_mem_1105
(h : SemanticCore.Var)
:
nb078AlphaDummy1052 h ∈ (SemanticCore.Class.cab (nb078AlphaDummy1059 h)
(Compiler.CompactSourceSyntax.synWrex (nb078AlphaDummy1060 h) (SemanticCore.Class.cv (nb078AlphaDummy1052 h))
(SemanticCore.Wff.classEq (SemanticCore.Class.cv (nb078AlphaDummy1059 h))
(Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv (nb078AlphaDummy1060 h)))))).fv ∪ (SemanticCore.Class.cab (nb078AlphaDummy1059 h)
(Compiler.CompactSourceSyntax.synWrex (nb078AlphaDummy1060 h) (SemanticCore.Class.cv (nb078AlphaDummy1052 h))
(SemanticCore.Wff.classEq (SemanticCore.Class.cv (nb078AlphaDummy1059 h))
(Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv (nb078AlphaDummy1060 h)))))).fv
theorem
NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb078_support_mem_1108 :
nb078AlphaDummy1065 ∈ (SemanticCore.Wff.classMem (SemanticCore.Class.cv nb078AlphaDummy1065) Compiler.CompactSourceSyntax.synCnnc).fv ∪ (Compiler.CompactSourceSyntax.synCplc (SemanticCore.Class.cv nb078AlphaDummy1065)
Compiler.CompactSourceSyntax.synC1c).fv ∪ (SemanticCore.Class.cv nb078AlphaDummy1065).fv
theorem
NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb078_support_mem_1109
(h : SemanticCore.Var)
:
nb078AlphaDummy1067 h ∈ (SemanticCore.Wff.classMem (SemanticCore.Class.cv (nb078AlphaDummy1067 h)) Compiler.CompactSourceSyntax.synCnnc).fv ∪ (Compiler.CompactSourceSyntax.synCplc (SemanticCore.Class.cv (nb078AlphaDummy1067 h))
Compiler.CompactSourceSyntax.synC1c).fv ∪ (SemanticCore.Class.cv (nb078AlphaDummy1067 h)).fv
theorem
NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb078_support_mem_1113
(h : SemanticCore.Var)
:
nb078AlphaDummy1075 h ∈ (Compiler.CompactSourceSyntax.synCnin (SemanticCore.Class.cv (nb078AlphaDummy1075 h))
(SemanticCore.Class.cv (nb078AlphaDummy1076 h))).fv ∪ (Compiler.CompactSourceSyntax.synCnin (SemanticCore.Class.cv (nb078AlphaDummy1075 h))
(SemanticCore.Class.cv (nb078AlphaDummy1076 h))).fv
theorem
NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb078_support_mem_1117
(h : SemanticCore.Var)
:
nb078AlphaDummy1076 h ∈ (Compiler.CompactSourceSyntax.synCnin (SemanticCore.Class.cv (nb078AlphaDummy1075 h))
(SemanticCore.Class.cv (nb078AlphaDummy1076 h))).fv ∪ (Compiler.CompactSourceSyntax.synCnin (SemanticCore.Class.cv (nb078AlphaDummy1075 h))
(SemanticCore.Class.cv (nb078AlphaDummy1076 h))).fv
theorem
NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb078_support_mem_1129 :
nb078AlphaDummy1050 ∈ (Compiler.CompactSourceSyntax.synCcompl
(SemanticCore.Class.cab nb078AlphaDummy1057
(Compiler.CompactSourceSyntax.synWrex nb078AlphaDummy1058 (SemanticCore.Class.cv nb078AlphaDummy1049)
(SemanticCore.Wff.classEq (SemanticCore.Class.cv nb078AlphaDummy1057)
(Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv nb078AlphaDummy1058)))))).fv ∪ (Compiler.CompactSourceSyntax.synCcompl
(SemanticCore.Class.cab nb078AlphaDummy1057
(Compiler.CompactSourceSyntax.synWrex nb078AlphaDummy1058 (SemanticCore.Class.cv nb078AlphaDummy1050)
(SemanticCore.Wff.classEq (SemanticCore.Class.cv nb078AlphaDummy1057)
(Compiler.CompactSourceSyntax.synCun
(Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv nb078AlphaDummy1058))
(Compiler.CompactSourceSyntax.synCsn Compiler.CompactSourceSyntax.synC0c)))))).fv
theorem
NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb078_support_mem_1131
(h : SemanticCore.Var)
:
nb078AlphaDummy1053 h ∈ (Compiler.CompactSourceSyntax.synCcompl
(SemanticCore.Class.cab (nb078AlphaDummy1059 h)
(Compiler.CompactSourceSyntax.synWrex (nb078AlphaDummy1060 h) (SemanticCore.Class.cv (nb078AlphaDummy1052 h))
(SemanticCore.Wff.classEq (SemanticCore.Class.cv (nb078AlphaDummy1059 h))
(Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv (nb078AlphaDummy1060 h))))))).fv ∪ (Compiler.CompactSourceSyntax.synCcompl
(SemanticCore.Class.cab (nb078AlphaDummy1059 h)
(Compiler.CompactSourceSyntax.synWrex (nb078AlphaDummy1060 h) (SemanticCore.Class.cv (nb078AlphaDummy1053 h))
(SemanticCore.Wff.classEq (SemanticCore.Class.cv (nb078AlphaDummy1059 h))
(Compiler.CompactSourceSyntax.synCun
(Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv (nb078AlphaDummy1060 h)))
(Compiler.CompactSourceSyntax.synCsn Compiler.CompactSourceSyntax.synC0c)))))).fv
theorem
NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb078_support_mem_1132 :
nb078AlphaDummy1050 ∈ (SemanticCore.Class.cab nb078AlphaDummy1057
(Compiler.CompactSourceSyntax.synWrex nb078AlphaDummy1058 (SemanticCore.Class.cv nb078AlphaDummy1050)
(SemanticCore.Wff.classEq (SemanticCore.Class.cv nb078AlphaDummy1057)
(Compiler.CompactSourceSyntax.synCun
(Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv nb078AlphaDummy1058))
(Compiler.CompactSourceSyntax.synCsn Compiler.CompactSourceSyntax.synC0c))))).fv ∪ (SemanticCore.Class.cab nb078AlphaDummy1057
(Compiler.CompactSourceSyntax.synWrex nb078AlphaDummy1058 (SemanticCore.Class.cv nb078AlphaDummy1050)
(SemanticCore.Wff.classEq (SemanticCore.Class.cv nb078AlphaDummy1057)
(Compiler.CompactSourceSyntax.synCun
(Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv nb078AlphaDummy1058))
(Compiler.CompactSourceSyntax.synCsn Compiler.CompactSourceSyntax.synC0c))))).fv
theorem
NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb078_support_mem_1133
(h : SemanticCore.Var)
:
nb078AlphaDummy1053 h ∈ (SemanticCore.Class.cab (nb078AlphaDummy1059 h)
(Compiler.CompactSourceSyntax.synWrex (nb078AlphaDummy1060 h) (SemanticCore.Class.cv (nb078AlphaDummy1053 h))
(SemanticCore.Wff.classEq (SemanticCore.Class.cv (nb078AlphaDummy1059 h))
(Compiler.CompactSourceSyntax.synCun
(Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv (nb078AlphaDummy1060 h)))
(Compiler.CompactSourceSyntax.synCsn Compiler.CompactSourceSyntax.synC0c))))).fv ∪ (SemanticCore.Class.cab (nb078AlphaDummy1059 h)
(Compiler.CompactSourceSyntax.synWrex (nb078AlphaDummy1060 h) (SemanticCore.Class.cv (nb078AlphaDummy1053 h))
(SemanticCore.Wff.classEq (SemanticCore.Class.cv (nb078AlphaDummy1059 h))
(Compiler.CompactSourceSyntax.synCun
(Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv (nb078AlphaDummy1060 h)))
(Compiler.CompactSourceSyntax.synCsn Compiler.CompactSourceSyntax.synC0c))))).fv
theorem
NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb078_support_mem_1139 :
nb078AlphaDummy1049 ∈ (Compiler.CompactSourceSyntax.synCcompl
(SemanticCore.Class.cab nb078AlphaDummy1093
(Compiler.CompactSourceSyntax.synWrex nb078AlphaDummy1094 (SemanticCore.Class.cv nb078AlphaDummy1049)
(SemanticCore.Wff.classEq (SemanticCore.Class.cv nb078AlphaDummy1093)
(Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv nb078AlphaDummy1094)))))).fv ∪ (Compiler.CompactSourceSyntax.synCcompl
(SemanticCore.Class.cab nb078AlphaDummy1093
(Compiler.CompactSourceSyntax.synWrex nb078AlphaDummy1094 (SemanticCore.Class.cv nb078AlphaDummy1051)
(SemanticCore.Wff.classEq (SemanticCore.Class.cv nb078AlphaDummy1093)
(Compiler.CompactSourceSyntax.synCun
(Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv nb078AlphaDummy1094))
(Compiler.CompactSourceSyntax.synCsn Compiler.CompactSourceSyntax.synC0c)))))).fv
theorem
NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb078_support_mem_1141
(h : SemanticCore.Var)
:
nb078AlphaDummy1052 h ∈ (Compiler.CompactSourceSyntax.synCcompl
(SemanticCore.Class.cab (nb078AlphaDummy1095 h)
(Compiler.CompactSourceSyntax.synWrex (nb078AlphaDummy1096 h) (SemanticCore.Class.cv (nb078AlphaDummy1052 h))
(SemanticCore.Wff.classEq (SemanticCore.Class.cv (nb078AlphaDummy1095 h))
(Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv (nb078AlphaDummy1096 h))))))).fv ∪ (Compiler.CompactSourceSyntax.synCcompl
(SemanticCore.Class.cab (nb078AlphaDummy1095 h)
(Compiler.CompactSourceSyntax.synWrex (nb078AlphaDummy1096 h) (SemanticCore.Class.cv (nb078AlphaDummy1054 h))
(SemanticCore.Wff.classEq (SemanticCore.Class.cv (nb078AlphaDummy1095 h))
(Compiler.CompactSourceSyntax.synCun
(Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv (nb078AlphaDummy1096 h)))
(Compiler.CompactSourceSyntax.synCsn Compiler.CompactSourceSyntax.synC0c)))))).fv
theorem
NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb078_support_mem_1142 :
nb078AlphaDummy1049 ∈ (SemanticCore.Class.cab nb078AlphaDummy1093
(Compiler.CompactSourceSyntax.synWrex nb078AlphaDummy1094 (SemanticCore.Class.cv nb078AlphaDummy1049)
(SemanticCore.Wff.classEq (SemanticCore.Class.cv nb078AlphaDummy1093)
(Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv nb078AlphaDummy1094))))).fv ∪ (SemanticCore.Class.cab nb078AlphaDummy1093
(Compiler.CompactSourceSyntax.synWrex nb078AlphaDummy1094 (SemanticCore.Class.cv nb078AlphaDummy1049)
(SemanticCore.Wff.classEq (SemanticCore.Class.cv nb078AlphaDummy1093)
(Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv nb078AlphaDummy1094))))).fv
theorem
NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb078_support_mem_1143
(h : SemanticCore.Var)
:
nb078AlphaDummy1052 h ∈ (SemanticCore.Class.cab (nb078AlphaDummy1095 h)
(Compiler.CompactSourceSyntax.synWrex (nb078AlphaDummy1096 h) (SemanticCore.Class.cv (nb078AlphaDummy1052 h))
(SemanticCore.Wff.classEq (SemanticCore.Class.cv (nb078AlphaDummy1095 h))
(Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv (nb078AlphaDummy1096 h)))))).fv ∪ (SemanticCore.Class.cab (nb078AlphaDummy1095 h)
(Compiler.CompactSourceSyntax.synWrex (nb078AlphaDummy1096 h) (SemanticCore.Class.cv (nb078AlphaDummy1052 h))
(SemanticCore.Wff.classEq (SemanticCore.Class.cv (nb078AlphaDummy1095 h))
(Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv (nb078AlphaDummy1096 h)))))).fv
theorem
NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb078_support_mem_1146 :
nb078AlphaDummy1101 ∈ (SemanticCore.Wff.classMem (SemanticCore.Class.cv nb078AlphaDummy1101) Compiler.CompactSourceSyntax.synCnnc).fv ∪ (Compiler.CompactSourceSyntax.synCplc (SemanticCore.Class.cv nb078AlphaDummy1101)
Compiler.CompactSourceSyntax.synC1c).fv ∪ (SemanticCore.Class.cv nb078AlphaDummy1101).fv
theorem
NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb078_support_mem_1147
(h : SemanticCore.Var)
:
nb078AlphaDummy1103 h ∈ (SemanticCore.Wff.classMem (SemanticCore.Class.cv (nb078AlphaDummy1103 h)) Compiler.CompactSourceSyntax.synCnnc).fv ∪ (Compiler.CompactSourceSyntax.synCplc (SemanticCore.Class.cv (nb078AlphaDummy1103 h))
Compiler.CompactSourceSyntax.synC1c).fv ∪ (SemanticCore.Class.cv (nb078AlphaDummy1103 h)).fv
theorem
NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb078_support_mem_1151
(h : SemanticCore.Var)
:
nb078AlphaDummy1111 h ∈ (Compiler.CompactSourceSyntax.synCnin (SemanticCore.Class.cv (nb078AlphaDummy1111 h))
(SemanticCore.Class.cv (nb078AlphaDummy1112 h))).fv ∪ (Compiler.CompactSourceSyntax.synCnin (SemanticCore.Class.cv (nb078AlphaDummy1111 h))
(SemanticCore.Class.cv (nb078AlphaDummy1112 h))).fv
theorem
NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb078_support_mem_1155
(h : SemanticCore.Var)
:
nb078AlphaDummy1112 h ∈ (Compiler.CompactSourceSyntax.synCnin (SemanticCore.Class.cv (nb078AlphaDummy1111 h))
(SemanticCore.Class.cv (nb078AlphaDummy1112 h))).fv ∪ (Compiler.CompactSourceSyntax.synCnin (SemanticCore.Class.cv (nb078AlphaDummy1111 h))
(SemanticCore.Class.cv (nb078AlphaDummy1112 h))).fv