Nominal proof certificates grouped in dependency order.
Certificates from NAR4C090C001Part017.
theorem
NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb090_support_mem_0217
(h : SemanticCore.Var)
:
nb090AlphaDummy054 h ∈ (Compiler.CompactSourceSyntax.synCcompl
(SemanticCore.Class.cab (nb090AlphaDummy209 h)
(Compiler.CompactSourceSyntax.synWrex (nb090AlphaDummy210 h) (SemanticCore.Class.cv (nb090AlphaDummy054 h))
(SemanticCore.Wff.classEq (SemanticCore.Class.cv (nb090AlphaDummy209 h))
(Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv (nb090AlphaDummy210 h))))))).fv ∪ (Compiler.CompactSourceSyntax.synCcompl
(SemanticCore.Class.cab (nb090AlphaDummy209 h)
(Compiler.CompactSourceSyntax.synWrex (nb090AlphaDummy210 h) (SemanticCore.Class.cv (nb090AlphaDummy053 h))
(SemanticCore.Wff.classEq (SemanticCore.Class.cv (nb090AlphaDummy209 h))
(Compiler.CompactSourceSyntax.synCun
(Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv (nb090AlphaDummy210 h)))
(Compiler.CompactSourceSyntax.synCsn Compiler.CompactSourceSyntax.synC0c)))))).fv
theorem
NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb090_support_mem_0218
(A : SemanticCore.Class)
:
nb090AlphaDummy051 A ∈ (SemanticCore.Class.cab (nb090AlphaDummy207 A)
(Compiler.CompactSourceSyntax.synWrex (nb090AlphaDummy208 A) (SemanticCore.Class.cv (nb090AlphaDummy051 A))
(SemanticCore.Wff.classEq (SemanticCore.Class.cv (nb090AlphaDummy207 A))
(Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv (nb090AlphaDummy208 A)))))).fv ∪ (SemanticCore.Class.cab (nb090AlphaDummy207 A)
(Compiler.CompactSourceSyntax.synWrex (nb090AlphaDummy208 A) (SemanticCore.Class.cv (nb090AlphaDummy051 A))
(SemanticCore.Wff.classEq (SemanticCore.Class.cv (nb090AlphaDummy207 A))
(Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv (nb090AlphaDummy208 A)))))).fv
theorem
NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb090_support_mem_0219
(h : SemanticCore.Var)
:
nb090AlphaDummy054 h ∈ (SemanticCore.Class.cab (nb090AlphaDummy209 h)
(Compiler.CompactSourceSyntax.synWrex (nb090AlphaDummy210 h) (SemanticCore.Class.cv (nb090AlphaDummy054 h))
(SemanticCore.Wff.classEq (SemanticCore.Class.cv (nb090AlphaDummy209 h))
(Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv (nb090AlphaDummy210 h)))))).fv ∪ (SemanticCore.Class.cab (nb090AlphaDummy209 h)
(Compiler.CompactSourceSyntax.synWrex (nb090AlphaDummy210 h) (SemanticCore.Class.cv (nb090AlphaDummy054 h))
(SemanticCore.Wff.classEq (SemanticCore.Class.cv (nb090AlphaDummy209 h))
(Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv (nb090AlphaDummy210 h)))))).fv
theorem
NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb090_support_mem_0222
(A : SemanticCore.Class)
:
nb090AlphaDummy215 A ∈ (SemanticCore.Wff.classMem (SemanticCore.Class.cv (nb090AlphaDummy215 A)) Compiler.CompactSourceSyntax.synCnnc).fv ∪ (Compiler.CompactSourceSyntax.synCplc (SemanticCore.Class.cv (nb090AlphaDummy215 A))
Compiler.CompactSourceSyntax.synC1c).fv ∪ (SemanticCore.Class.cv (nb090AlphaDummy215 A)).fv
theorem
NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb090_support_mem_0223
(h : SemanticCore.Var)
:
nb090AlphaDummy217 h ∈ (SemanticCore.Wff.classMem (SemanticCore.Class.cv (nb090AlphaDummy217 h)) Compiler.CompactSourceSyntax.synCnnc).fv ∪ (Compiler.CompactSourceSyntax.synCplc (SemanticCore.Class.cv (nb090AlphaDummy217 h))
Compiler.CompactSourceSyntax.synC1c).fv ∪ (SemanticCore.Class.cv (nb090AlphaDummy217 h)).fv
theorem
NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb090_support_mem_0243
(A : SemanticCore.Class)
:
nb090AlphaDummy050 A ∈ (Compiler.CompactSourceSyntax.synCcompl
(SemanticCore.Class.cab (nb090AlphaDummy207 A)
(Compiler.CompactSourceSyntax.synWrex (nb090AlphaDummy208 A) (SemanticCore.Class.cv (nb090AlphaDummy051 A))
(SemanticCore.Wff.classEq (SemanticCore.Class.cv (nb090AlphaDummy207 A))
(Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv (nb090AlphaDummy208 A))))))).fv ∪ (Compiler.CompactSourceSyntax.synCcompl
(SemanticCore.Class.cab (nb090AlphaDummy207 A)
(Compiler.CompactSourceSyntax.synWrex (nb090AlphaDummy208 A) (SemanticCore.Class.cv (nb090AlphaDummy050 A))
(SemanticCore.Wff.classEq (SemanticCore.Class.cv (nb090AlphaDummy207 A))
(Compiler.CompactSourceSyntax.synCun
(Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv (nb090AlphaDummy208 A)))
(Compiler.CompactSourceSyntax.synCsn Compiler.CompactSourceSyntax.synC0c)))))).fv
theorem
NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb090_support_mem_0245
(h : SemanticCore.Var)
:
nb090AlphaDummy053 h ∈ (Compiler.CompactSourceSyntax.synCcompl
(SemanticCore.Class.cab (nb090AlphaDummy209 h)
(Compiler.CompactSourceSyntax.synWrex (nb090AlphaDummy210 h) (SemanticCore.Class.cv (nb090AlphaDummy054 h))
(SemanticCore.Wff.classEq (SemanticCore.Class.cv (nb090AlphaDummy209 h))
(Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv (nb090AlphaDummy210 h))))))).fv ∪ (Compiler.CompactSourceSyntax.synCcompl
(SemanticCore.Class.cab (nb090AlphaDummy209 h)
(Compiler.CompactSourceSyntax.synWrex (nb090AlphaDummy210 h) (SemanticCore.Class.cv (nb090AlphaDummy053 h))
(SemanticCore.Wff.classEq (SemanticCore.Class.cv (nb090AlphaDummy209 h))
(Compiler.CompactSourceSyntax.synCun
(Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv (nb090AlphaDummy210 h)))
(Compiler.CompactSourceSyntax.synCsn Compiler.CompactSourceSyntax.synC0c)))))).fv
theorem
NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb090_support_mem_0246
(A : SemanticCore.Class)
:
nb090AlphaDummy050 A ∈ (SemanticCore.Class.cab (nb090AlphaDummy207 A)
(Compiler.CompactSourceSyntax.synWrex (nb090AlphaDummy208 A) (SemanticCore.Class.cv (nb090AlphaDummy050 A))
(SemanticCore.Wff.classEq (SemanticCore.Class.cv (nb090AlphaDummy207 A))
(Compiler.CompactSourceSyntax.synCun
(Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv (nb090AlphaDummy208 A)))
(Compiler.CompactSourceSyntax.synCsn Compiler.CompactSourceSyntax.synC0c))))).fv ∪ (SemanticCore.Class.cab (nb090AlphaDummy207 A)
(Compiler.CompactSourceSyntax.synWrex (nb090AlphaDummy208 A) (SemanticCore.Class.cv (nb090AlphaDummy050 A))
(SemanticCore.Wff.classEq (SemanticCore.Class.cv (nb090AlphaDummy207 A))
(Compiler.CompactSourceSyntax.synCun
(Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv (nb090AlphaDummy208 A)))
(Compiler.CompactSourceSyntax.synCsn Compiler.CompactSourceSyntax.synC0c))))).fv
theorem
NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb090_support_mem_0247
(h : SemanticCore.Var)
:
nb090AlphaDummy053 h ∈ (SemanticCore.Class.cab (nb090AlphaDummy209 h)
(Compiler.CompactSourceSyntax.synWrex (nb090AlphaDummy210 h) (SemanticCore.Class.cv (nb090AlphaDummy053 h))
(SemanticCore.Wff.classEq (SemanticCore.Class.cv (nb090AlphaDummy209 h))
(Compiler.CompactSourceSyntax.synCun
(Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv (nb090AlphaDummy210 h)))
(Compiler.CompactSourceSyntax.synCsn Compiler.CompactSourceSyntax.synC0c))))).fv ∪ (SemanticCore.Class.cab (nb090AlphaDummy209 h)
(Compiler.CompactSourceSyntax.synWrex (nb090AlphaDummy210 h) (SemanticCore.Class.cv (nb090AlphaDummy053 h))
(SemanticCore.Wff.classEq (SemanticCore.Class.cv (nb090AlphaDummy209 h))
(Compiler.CompactSourceSyntax.synCun
(Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv (nb090AlphaDummy210 h)))
(Compiler.CompactSourceSyntax.synCsn Compiler.CompactSourceSyntax.synC0c))))).fv
theorem
NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb090_support_mem_0253
(A : SemanticCore.Class)
:
nb090AlphaDummy244 A ∈ (Compiler.CompactSourceSyntax.synCcompl
(SemanticCore.Class.cab (nb090AlphaDummy247 A)
(Compiler.CompactSourceSyntax.synWrex (nb090AlphaDummy248 A) (SemanticCore.Class.cv (nb090AlphaDummy244 A))
(SemanticCore.Wff.classEq (SemanticCore.Class.cv (nb090AlphaDummy247 A))
(Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv (nb090AlphaDummy248 A))))))).fv ∪ (Compiler.CompactSourceSyntax.synCcompl
(SemanticCore.Class.cab (nb090AlphaDummy247 A)
(Compiler.CompactSourceSyntax.synWrex (nb090AlphaDummy248 A) (SemanticCore.Class.cv (nb090AlphaDummy243 A))
(SemanticCore.Wff.classEq (SemanticCore.Class.cv (nb090AlphaDummy247 A))
(Compiler.CompactSourceSyntax.synCun
(Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv (nb090AlphaDummy248 A)))
(Compiler.CompactSourceSyntax.synCsn Compiler.CompactSourceSyntax.synC0c)))))).fv
theorem
NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb090_support_mem_0255
(h : SemanticCore.Var)
:
nb090AlphaDummy246 h ∈ (Compiler.CompactSourceSyntax.synCcompl
(SemanticCore.Class.cab (nb090AlphaDummy249 h)
(Compiler.CompactSourceSyntax.synWrex (nb090AlphaDummy250 h) (SemanticCore.Class.cv (nb090AlphaDummy246 h))
(SemanticCore.Wff.classEq (SemanticCore.Class.cv (nb090AlphaDummy249 h))
(Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv (nb090AlphaDummy250 h))))))).fv ∪ (Compiler.CompactSourceSyntax.synCcompl
(SemanticCore.Class.cab (nb090AlphaDummy249 h)
(Compiler.CompactSourceSyntax.synWrex (nb090AlphaDummy250 h) (SemanticCore.Class.cv (nb090AlphaDummy245 h))
(SemanticCore.Wff.classEq (SemanticCore.Class.cv (nb090AlphaDummy249 h))
(Compiler.CompactSourceSyntax.synCun
(Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv (nb090AlphaDummy250 h)))
(Compiler.CompactSourceSyntax.synCsn Compiler.CompactSourceSyntax.synC0c)))))).fv
theorem
NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb090_support_mem_0256
(A : SemanticCore.Class)
:
nb090AlphaDummy244 A ∈ (SemanticCore.Class.cab (nb090AlphaDummy247 A)
(Compiler.CompactSourceSyntax.synWrex (nb090AlphaDummy248 A) (SemanticCore.Class.cv (nb090AlphaDummy244 A))
(SemanticCore.Wff.classEq (SemanticCore.Class.cv (nb090AlphaDummy247 A))
(Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv (nb090AlphaDummy248 A)))))).fv ∪ (SemanticCore.Class.cab (nb090AlphaDummy247 A)
(Compiler.CompactSourceSyntax.synWrex (nb090AlphaDummy248 A) (SemanticCore.Class.cv (nb090AlphaDummy244 A))
(SemanticCore.Wff.classEq (SemanticCore.Class.cv (nb090AlphaDummy247 A))
(Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv (nb090AlphaDummy248 A)))))).fv
theorem
NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb090_support_mem_0257
(h : SemanticCore.Var)
:
nb090AlphaDummy246 h ∈ (SemanticCore.Class.cab (nb090AlphaDummy249 h)
(Compiler.CompactSourceSyntax.synWrex (nb090AlphaDummy250 h) (SemanticCore.Class.cv (nb090AlphaDummy246 h))
(SemanticCore.Wff.classEq (SemanticCore.Class.cv (nb090AlphaDummy249 h))
(Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv (nb090AlphaDummy250 h)))))).fv ∪ (SemanticCore.Class.cab (nb090AlphaDummy249 h)
(Compiler.CompactSourceSyntax.synWrex (nb090AlphaDummy250 h) (SemanticCore.Class.cv (nb090AlphaDummy246 h))
(SemanticCore.Wff.classEq (SemanticCore.Class.cv (nb090AlphaDummy249 h))
(Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv (nb090AlphaDummy250 h)))))).fv
theorem
NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb090_support_mem_0260
(A : SemanticCore.Class)
:
nb090AlphaDummy255 A ∈ (SemanticCore.Wff.classMem (SemanticCore.Class.cv (nb090AlphaDummy255 A)) Compiler.CompactSourceSyntax.synCnnc).fv ∪ (Compiler.CompactSourceSyntax.synCplc (SemanticCore.Class.cv (nb090AlphaDummy255 A))
Compiler.CompactSourceSyntax.synC1c).fv ∪ (SemanticCore.Class.cv (nb090AlphaDummy255 A)).fv
theorem
NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb090_support_mem_0261
(h : SemanticCore.Var)
:
nb090AlphaDummy257 h ∈ (SemanticCore.Wff.classMem (SemanticCore.Class.cv (nb090AlphaDummy257 h)) Compiler.CompactSourceSyntax.synCnnc).fv ∪ (Compiler.CompactSourceSyntax.synCplc (SemanticCore.Class.cv (nb090AlphaDummy257 h))
Compiler.CompactSourceSyntax.synC1c).fv ∪ (SemanticCore.Class.cv (nb090AlphaDummy257 h)).fv
theorem
NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb090_support_mem_0281
(A : SemanticCore.Class)
:
nb090AlphaDummy243 A ∈ (Compiler.CompactSourceSyntax.synCcompl
(SemanticCore.Class.cab (nb090AlphaDummy247 A)
(Compiler.CompactSourceSyntax.synWrex (nb090AlphaDummy248 A) (SemanticCore.Class.cv (nb090AlphaDummy244 A))
(SemanticCore.Wff.classEq (SemanticCore.Class.cv (nb090AlphaDummy247 A))
(Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv (nb090AlphaDummy248 A))))))).fv ∪ (Compiler.CompactSourceSyntax.synCcompl
(SemanticCore.Class.cab (nb090AlphaDummy247 A)
(Compiler.CompactSourceSyntax.synWrex (nb090AlphaDummy248 A) (SemanticCore.Class.cv (nb090AlphaDummy243 A))
(SemanticCore.Wff.classEq (SemanticCore.Class.cv (nb090AlphaDummy247 A))
(Compiler.CompactSourceSyntax.synCun
(Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv (nb090AlphaDummy248 A)))
(Compiler.CompactSourceSyntax.synCsn Compiler.CompactSourceSyntax.synC0c)))))).fv
theorem
NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb090_support_mem_0283
(h : SemanticCore.Var)
:
nb090AlphaDummy245 h ∈ (Compiler.CompactSourceSyntax.synCcompl
(SemanticCore.Class.cab (nb090AlphaDummy249 h)
(Compiler.CompactSourceSyntax.synWrex (nb090AlphaDummy250 h) (SemanticCore.Class.cv (nb090AlphaDummy246 h))
(SemanticCore.Wff.classEq (SemanticCore.Class.cv (nb090AlphaDummy249 h))
(Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv (nb090AlphaDummy250 h))))))).fv ∪ (Compiler.CompactSourceSyntax.synCcompl
(SemanticCore.Class.cab (nb090AlphaDummy249 h)
(Compiler.CompactSourceSyntax.synWrex (nb090AlphaDummy250 h) (SemanticCore.Class.cv (nb090AlphaDummy245 h))
(SemanticCore.Wff.classEq (SemanticCore.Class.cv (nb090AlphaDummy249 h))
(Compiler.CompactSourceSyntax.synCun
(Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv (nb090AlphaDummy250 h)))
(Compiler.CompactSourceSyntax.synCsn Compiler.CompactSourceSyntax.synC0c)))))).fv
theorem
NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb090_support_mem_0284
(A : SemanticCore.Class)
:
nb090AlphaDummy243 A ∈ (SemanticCore.Class.cab (nb090AlphaDummy247 A)
(Compiler.CompactSourceSyntax.synWrex (nb090AlphaDummy248 A) (SemanticCore.Class.cv (nb090AlphaDummy243 A))
(SemanticCore.Wff.classEq (SemanticCore.Class.cv (nb090AlphaDummy247 A))
(Compiler.CompactSourceSyntax.synCun
(Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv (nb090AlphaDummy248 A)))
(Compiler.CompactSourceSyntax.synCsn Compiler.CompactSourceSyntax.synC0c))))).fv ∪ (SemanticCore.Class.cab (nb090AlphaDummy247 A)
(Compiler.CompactSourceSyntax.synWrex (nb090AlphaDummy248 A) (SemanticCore.Class.cv (nb090AlphaDummy243 A))
(SemanticCore.Wff.classEq (SemanticCore.Class.cv (nb090AlphaDummy247 A))
(Compiler.CompactSourceSyntax.synCun
(Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv (nb090AlphaDummy248 A)))
(Compiler.CompactSourceSyntax.synCsn Compiler.CompactSourceSyntax.synC0c))))).fv
theorem
NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb090_support_mem_0285
(h : SemanticCore.Var)
:
nb090AlphaDummy245 h ∈ (SemanticCore.Class.cab (nb090AlphaDummy249 h)
(Compiler.CompactSourceSyntax.synWrex (nb090AlphaDummy250 h) (SemanticCore.Class.cv (nb090AlphaDummy245 h))
(SemanticCore.Wff.classEq (SemanticCore.Class.cv (nb090AlphaDummy249 h))
(Compiler.CompactSourceSyntax.synCun
(Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv (nb090AlphaDummy250 h)))
(Compiler.CompactSourceSyntax.synCsn Compiler.CompactSourceSyntax.synC0c))))).fv ∪ (SemanticCore.Class.cab (nb090AlphaDummy249 h)
(Compiler.CompactSourceSyntax.synWrex (nb090AlphaDummy250 h) (SemanticCore.Class.cv (nb090AlphaDummy245 h))
(SemanticCore.Wff.classEq (SemanticCore.Class.cv (nb090AlphaDummy249 h))
(Compiler.CompactSourceSyntax.synCun
(Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv (nb090AlphaDummy250 h)))
(Compiler.CompactSourceSyntax.synCsn Compiler.CompactSourceSyntax.synC0c))))).fv
theorem
NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb090_support_mem_0294
(A : SemanticCore.Class)
:
nb090AlphaDummy001 A ∈ (SemanticCore.Class.cab (nb090AlphaDummy285 A)
(SemanticCore.Wff.classEq
(SemanticCore.Class.cab (nb090AlphaDummy283 A)
(Compiler.CompactSourceSyntax.synWbr (SemanticCore.Class.cv (nb090AlphaDummy001 A))
Compiler.CompactSourceSyntax.synC2nd (SemanticCore.Class.cv (nb090AlphaDummy283 A))))
(Compiler.CompactSourceSyntax.synCsn (SemanticCore.Class.cv (nb090AlphaDummy285 A))))).fv
theorem
NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb090_support_mem_0297
(u : SemanticCore.Var)
:
u ∈ (SemanticCore.Class.cab (nb090AlphaDummy286 u)
(SemanticCore.Wff.classEq
(SemanticCore.Class.cab (nb090AlphaDummy284 u)
(Compiler.CompactSourceSyntax.synWbr (SemanticCore.Class.cv u) Compiler.CompactSourceSyntax.synC2nd
(SemanticCore.Class.cv (nb090AlphaDummy284 u))))
(Compiler.CompactSourceSyntax.synCsn (SemanticCore.Class.cv (nb090AlphaDummy286 u))))).fv
theorem
NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb090_support_mem_0299
(A : SemanticCore.Class)
:
nb090AlphaDummy001 A ∈ (Compiler.CompactSourceSyntax.synCcompl
(SemanticCore.Class.cab (nb090AlphaDummy291 A)
(Compiler.CompactSourceSyntax.synWrex (nb090AlphaDummy292 A) (SemanticCore.Class.cv (nb090AlphaDummy001 A))
(SemanticCore.Wff.classEq (SemanticCore.Class.cv (nb090AlphaDummy291 A))
(Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv (nb090AlphaDummy292 A))))))).fv ∪ (Compiler.CompactSourceSyntax.synCcompl
(SemanticCore.Class.cab (nb090AlphaDummy291 A)
(Compiler.CompactSourceSyntax.synWrex (nb090AlphaDummy292 A) (SemanticCore.Class.cv (nb090AlphaDummy283 A))
(SemanticCore.Wff.classEq (SemanticCore.Class.cv (nb090AlphaDummy291 A))
(Compiler.CompactSourceSyntax.synCun
(Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv (nb090AlphaDummy292 A)))
(Compiler.CompactSourceSyntax.synCsn Compiler.CompactSourceSyntax.synC0c)))))).fv
theorem
NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb090_support_mem_0301
(u : SemanticCore.Var)
:
u ∈ (Compiler.CompactSourceSyntax.synCcompl
(SemanticCore.Class.cab (nb090AlphaDummy293 u)
(Compiler.CompactSourceSyntax.synWrex (nb090AlphaDummy294 u) (SemanticCore.Class.cv u)
(SemanticCore.Wff.classEq (SemanticCore.Class.cv (nb090AlphaDummy293 u))
(Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv (nb090AlphaDummy294 u))))))).fv ∪ (Compiler.CompactSourceSyntax.synCcompl
(SemanticCore.Class.cab (nb090AlphaDummy293 u)
(Compiler.CompactSourceSyntax.synWrex (nb090AlphaDummy294 u) (SemanticCore.Class.cv (nb090AlphaDummy284 u))
(SemanticCore.Wff.classEq (SemanticCore.Class.cv (nb090AlphaDummy293 u))
(Compiler.CompactSourceSyntax.synCun
(Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv (nb090AlphaDummy294 u)))
(Compiler.CompactSourceSyntax.synCsn Compiler.CompactSourceSyntax.synC0c)))))).fv
theorem
NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb090_support_mem_0302
(A : SemanticCore.Class)
:
nb090AlphaDummy001 A ∈ (SemanticCore.Class.cab (nb090AlphaDummy291 A)
(Compiler.CompactSourceSyntax.synWrex (nb090AlphaDummy292 A) (SemanticCore.Class.cv (nb090AlphaDummy001 A))
(SemanticCore.Wff.classEq (SemanticCore.Class.cv (nb090AlphaDummy291 A))
(Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv (nb090AlphaDummy292 A)))))).fv ∪ (SemanticCore.Class.cab (nb090AlphaDummy291 A)
(Compiler.CompactSourceSyntax.synWrex (nb090AlphaDummy292 A) (SemanticCore.Class.cv (nb090AlphaDummy001 A))
(SemanticCore.Wff.classEq (SemanticCore.Class.cv (nb090AlphaDummy291 A))
(Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv (nb090AlphaDummy292 A)))))).fv
theorem
NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb090_support_mem_0303
(u : SemanticCore.Var)
:
u ∈ (SemanticCore.Class.cab (nb090AlphaDummy293 u)
(Compiler.CompactSourceSyntax.synWrex (nb090AlphaDummy294 u) (SemanticCore.Class.cv u)
(SemanticCore.Wff.classEq (SemanticCore.Class.cv (nb090AlphaDummy293 u))
(Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv (nb090AlphaDummy294 u)))))).fv ∪ (SemanticCore.Class.cab (nb090AlphaDummy293 u)
(Compiler.CompactSourceSyntax.synWrex (nb090AlphaDummy294 u) (SemanticCore.Class.cv u)
(SemanticCore.Wff.classEq (SemanticCore.Class.cv (nb090AlphaDummy293 u))
(Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv (nb090AlphaDummy294 u)))))).fv
theorem
NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb090_support_mem_0306
(A : SemanticCore.Class)
:
nb090AlphaDummy299 A ∈ (SemanticCore.Wff.classMem (SemanticCore.Class.cv (nb090AlphaDummy299 A)) Compiler.CompactSourceSyntax.synCnnc).fv ∪ (Compiler.CompactSourceSyntax.synCplc (SemanticCore.Class.cv (nb090AlphaDummy299 A))
Compiler.CompactSourceSyntax.synC1c).fv ∪ (SemanticCore.Class.cv (nb090AlphaDummy299 A)).fv
theorem
NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb090_support_mem_0307
(u : SemanticCore.Var)
:
nb090AlphaDummy301 u ∈ (SemanticCore.Wff.classMem (SemanticCore.Class.cv (nb090AlphaDummy301 u)) Compiler.CompactSourceSyntax.synCnnc).fv ∪ (Compiler.CompactSourceSyntax.synCplc (SemanticCore.Class.cv (nb090AlphaDummy301 u))
Compiler.CompactSourceSyntax.synC1c).fv ∪ (SemanticCore.Class.cv (nb090AlphaDummy301 u)).fv
theorem
NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb090_support_mem_0327
(A : SemanticCore.Class)
:
nb090AlphaDummy283 A ∈ (Compiler.CompactSourceSyntax.synCcompl
(SemanticCore.Class.cab (nb090AlphaDummy291 A)
(Compiler.CompactSourceSyntax.synWrex (nb090AlphaDummy292 A) (SemanticCore.Class.cv (nb090AlphaDummy001 A))
(SemanticCore.Wff.classEq (SemanticCore.Class.cv (nb090AlphaDummy291 A))
(Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv (nb090AlphaDummy292 A))))))).fv ∪ (Compiler.CompactSourceSyntax.synCcompl
(SemanticCore.Class.cab (nb090AlphaDummy291 A)
(Compiler.CompactSourceSyntax.synWrex (nb090AlphaDummy292 A) (SemanticCore.Class.cv (nb090AlphaDummy283 A))
(SemanticCore.Wff.classEq (SemanticCore.Class.cv (nb090AlphaDummy291 A))
(Compiler.CompactSourceSyntax.synCun
(Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv (nb090AlphaDummy292 A)))
(Compiler.CompactSourceSyntax.synCsn Compiler.CompactSourceSyntax.synC0c)))))).fv
theorem
NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb090_support_mem_0329
(u : SemanticCore.Var)
:
nb090AlphaDummy284 u ∈ (Compiler.CompactSourceSyntax.synCcompl
(SemanticCore.Class.cab (nb090AlphaDummy293 u)
(Compiler.CompactSourceSyntax.synWrex (nb090AlphaDummy294 u) (SemanticCore.Class.cv u)
(SemanticCore.Wff.classEq (SemanticCore.Class.cv (nb090AlphaDummy293 u))
(Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv (nb090AlphaDummy294 u))))))).fv ∪ (Compiler.CompactSourceSyntax.synCcompl
(SemanticCore.Class.cab (nb090AlphaDummy293 u)
(Compiler.CompactSourceSyntax.synWrex (nb090AlphaDummy294 u) (SemanticCore.Class.cv (nb090AlphaDummy284 u))
(SemanticCore.Wff.classEq (SemanticCore.Class.cv (nb090AlphaDummy293 u))
(Compiler.CompactSourceSyntax.synCun
(Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv (nb090AlphaDummy294 u)))
(Compiler.CompactSourceSyntax.synCsn Compiler.CompactSourceSyntax.synC0c)))))).fv
theorem
NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb090_support_mem_0330
(A : SemanticCore.Class)
:
nb090AlphaDummy283 A ∈ (SemanticCore.Class.cab (nb090AlphaDummy291 A)
(Compiler.CompactSourceSyntax.synWrex (nb090AlphaDummy292 A) (SemanticCore.Class.cv (nb090AlphaDummy283 A))
(SemanticCore.Wff.classEq (SemanticCore.Class.cv (nb090AlphaDummy291 A))
(Compiler.CompactSourceSyntax.synCun
(Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv (nb090AlphaDummy292 A)))
(Compiler.CompactSourceSyntax.synCsn Compiler.CompactSourceSyntax.synC0c))))).fv ∪ (SemanticCore.Class.cab (nb090AlphaDummy291 A)
(Compiler.CompactSourceSyntax.synWrex (nb090AlphaDummy292 A) (SemanticCore.Class.cv (nb090AlphaDummy283 A))
(SemanticCore.Wff.classEq (SemanticCore.Class.cv (nb090AlphaDummy291 A))
(Compiler.CompactSourceSyntax.synCun
(Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv (nb090AlphaDummy292 A)))
(Compiler.CompactSourceSyntax.synCsn Compiler.CompactSourceSyntax.synC0c))))).fv
theorem
NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb090_support_mem_0331
(u : SemanticCore.Var)
:
nb090AlphaDummy284 u ∈ (SemanticCore.Class.cab (nb090AlphaDummy293 u)
(Compiler.CompactSourceSyntax.synWrex (nb090AlphaDummy294 u) (SemanticCore.Class.cv (nb090AlphaDummy284 u))
(SemanticCore.Wff.classEq (SemanticCore.Class.cv (nb090AlphaDummy293 u))
(Compiler.CompactSourceSyntax.synCun
(Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv (nb090AlphaDummy294 u)))
(Compiler.CompactSourceSyntax.synCsn Compiler.CompactSourceSyntax.synC0c))))).fv ∪ (SemanticCore.Class.cab (nb090AlphaDummy293 u)
(Compiler.CompactSourceSyntax.synWrex (nb090AlphaDummy294 u) (SemanticCore.Class.cv (nb090AlphaDummy284 u))
(SemanticCore.Wff.classEq (SemanticCore.Class.cv (nb090AlphaDummy293 u))
(Compiler.CompactSourceSyntax.synCun
(Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv (nb090AlphaDummy294 u)))
(Compiler.CompactSourceSyntax.synCsn Compiler.CompactSourceSyntax.synC0c))))).fv
theorem
NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb090_support_mem_0339
(A : SemanticCore.Class)
:
nb090AlphaDummy334 A ∈ (Compiler.CompactSourceSyntax.synCcompl
(SemanticCore.Class.cab (nb090AlphaDummy337 A)
(Compiler.CompactSourceSyntax.synWrex (nb090AlphaDummy338 A) (SemanticCore.Class.cv (nb090AlphaDummy334 A))
(SemanticCore.Wff.classEq (SemanticCore.Class.cv (nb090AlphaDummy337 A))
(Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv (nb090AlphaDummy338 A))))))).fv ∪ (Compiler.CompactSourceSyntax.synCcompl
(SemanticCore.Class.cab (nb090AlphaDummy337 A)
(Compiler.CompactSourceSyntax.synWrex (nb090AlphaDummy338 A) (SemanticCore.Class.cv (nb090AlphaDummy333 A))
(SemanticCore.Wff.classEq (SemanticCore.Class.cv (nb090AlphaDummy337 A))
(Compiler.CompactSourceSyntax.synCun
(Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv (nb090AlphaDummy338 A)))
(Compiler.CompactSourceSyntax.synCsn Compiler.CompactSourceSyntax.synC0c)))))).fv
theorem
NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb090_support_mem_0341
(h : SemanticCore.Var)
:
nb090AlphaDummy336 h ∈ (Compiler.CompactSourceSyntax.synCcompl
(SemanticCore.Class.cab (nb090AlphaDummy339 h)
(Compiler.CompactSourceSyntax.synWrex (nb090AlphaDummy340 h) (SemanticCore.Class.cv (nb090AlphaDummy336 h))
(SemanticCore.Wff.classEq (SemanticCore.Class.cv (nb090AlphaDummy339 h))
(Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv (nb090AlphaDummy340 h))))))).fv ∪ (Compiler.CompactSourceSyntax.synCcompl
(SemanticCore.Class.cab (nb090AlphaDummy339 h)
(Compiler.CompactSourceSyntax.synWrex (nb090AlphaDummy340 h) (SemanticCore.Class.cv (nb090AlphaDummy335 h))
(SemanticCore.Wff.classEq (SemanticCore.Class.cv (nb090AlphaDummy339 h))
(Compiler.CompactSourceSyntax.synCun
(Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv (nb090AlphaDummy340 h)))
(Compiler.CompactSourceSyntax.synCsn Compiler.CompactSourceSyntax.synC0c)))))).fv
theorem
NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb090_support_mem_0342
(A : SemanticCore.Class)
:
nb090AlphaDummy334 A ∈ (SemanticCore.Class.cab (nb090AlphaDummy337 A)
(Compiler.CompactSourceSyntax.synWrex (nb090AlphaDummy338 A) (SemanticCore.Class.cv (nb090AlphaDummy334 A))
(SemanticCore.Wff.classEq (SemanticCore.Class.cv (nb090AlphaDummy337 A))
(Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv (nb090AlphaDummy338 A)))))).fv ∪ (SemanticCore.Class.cab (nb090AlphaDummy337 A)
(Compiler.CompactSourceSyntax.synWrex (nb090AlphaDummy338 A) (SemanticCore.Class.cv (nb090AlphaDummy334 A))
(SemanticCore.Wff.classEq (SemanticCore.Class.cv (nb090AlphaDummy337 A))
(Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv (nb090AlphaDummy338 A)))))).fv
theorem
NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb090_support_mem_0343
(h : SemanticCore.Var)
:
nb090AlphaDummy336 h ∈ (SemanticCore.Class.cab (nb090AlphaDummy339 h)
(Compiler.CompactSourceSyntax.synWrex (nb090AlphaDummy340 h) (SemanticCore.Class.cv (nb090AlphaDummy336 h))
(SemanticCore.Wff.classEq (SemanticCore.Class.cv (nb090AlphaDummy339 h))
(Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv (nb090AlphaDummy340 h)))))).fv ∪ (SemanticCore.Class.cab (nb090AlphaDummy339 h)
(Compiler.CompactSourceSyntax.synWrex (nb090AlphaDummy340 h) (SemanticCore.Class.cv (nb090AlphaDummy336 h))
(SemanticCore.Wff.classEq (SemanticCore.Class.cv (nb090AlphaDummy339 h))
(Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv (nb090AlphaDummy340 h)))))).fv
theorem
NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb090_support_mem_0346
(A : SemanticCore.Class)
:
nb090AlphaDummy345 A ∈ (SemanticCore.Wff.classMem (SemanticCore.Class.cv (nb090AlphaDummy345 A)) Compiler.CompactSourceSyntax.synCnnc).fv ∪ (Compiler.CompactSourceSyntax.synCplc (SemanticCore.Class.cv (nb090AlphaDummy345 A))
Compiler.CompactSourceSyntax.synC1c).fv ∪ (SemanticCore.Class.cv (nb090AlphaDummy345 A)).fv
theorem
NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb090_support_mem_0347
(h : SemanticCore.Var)
:
nb090AlphaDummy347 h ∈ (SemanticCore.Wff.classMem (SemanticCore.Class.cv (nb090AlphaDummy347 h)) Compiler.CompactSourceSyntax.synCnnc).fv ∪ (Compiler.CompactSourceSyntax.synCplc (SemanticCore.Class.cv (nb090AlphaDummy347 h))
Compiler.CompactSourceSyntax.synC1c).fv ∪ (SemanticCore.Class.cv (nb090AlphaDummy347 h)).fv
Certificates from NAR4C090C001Part018.
theorem
NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb090_support_mem_0367
(A : SemanticCore.Class)
:
nb090AlphaDummy333 A ∈ (Compiler.CompactSourceSyntax.synCcompl
(SemanticCore.Class.cab (nb090AlphaDummy337 A)
(Compiler.CompactSourceSyntax.synWrex (nb090AlphaDummy338 A) (SemanticCore.Class.cv (nb090AlphaDummy334 A))
(SemanticCore.Wff.classEq (SemanticCore.Class.cv (nb090AlphaDummy337 A))
(Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv (nb090AlphaDummy338 A))))))).fv ∪ (Compiler.CompactSourceSyntax.synCcompl
(SemanticCore.Class.cab (nb090AlphaDummy337 A)
(Compiler.CompactSourceSyntax.synWrex (nb090AlphaDummy338 A) (SemanticCore.Class.cv (nb090AlphaDummy333 A))
(SemanticCore.Wff.classEq (SemanticCore.Class.cv (nb090AlphaDummy337 A))
(Compiler.CompactSourceSyntax.synCun
(Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv (nb090AlphaDummy338 A)))
(Compiler.CompactSourceSyntax.synCsn Compiler.CompactSourceSyntax.synC0c)))))).fv
theorem
NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb090_support_mem_0369
(h : SemanticCore.Var)
:
nb090AlphaDummy335 h ∈ (Compiler.CompactSourceSyntax.synCcompl
(SemanticCore.Class.cab (nb090AlphaDummy339 h)
(Compiler.CompactSourceSyntax.synWrex (nb090AlphaDummy340 h) (SemanticCore.Class.cv (nb090AlphaDummy336 h))
(SemanticCore.Wff.classEq (SemanticCore.Class.cv (nb090AlphaDummy339 h))
(Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv (nb090AlphaDummy340 h))))))).fv ∪ (Compiler.CompactSourceSyntax.synCcompl
(SemanticCore.Class.cab (nb090AlphaDummy339 h)
(Compiler.CompactSourceSyntax.synWrex (nb090AlphaDummy340 h) (SemanticCore.Class.cv (nb090AlphaDummy335 h))
(SemanticCore.Wff.classEq (SemanticCore.Class.cv (nb090AlphaDummy339 h))
(Compiler.CompactSourceSyntax.synCun
(Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv (nb090AlphaDummy340 h)))
(Compiler.CompactSourceSyntax.synCsn Compiler.CompactSourceSyntax.synC0c)))))).fv
theorem
NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb090_support_mem_0370
(A : SemanticCore.Class)
:
nb090AlphaDummy333 A ∈ (SemanticCore.Class.cab (nb090AlphaDummy337 A)
(Compiler.CompactSourceSyntax.synWrex (nb090AlphaDummy338 A) (SemanticCore.Class.cv (nb090AlphaDummy333 A))
(SemanticCore.Wff.classEq (SemanticCore.Class.cv (nb090AlphaDummy337 A))
(Compiler.CompactSourceSyntax.synCun
(Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv (nb090AlphaDummy338 A)))
(Compiler.CompactSourceSyntax.synCsn Compiler.CompactSourceSyntax.synC0c))))).fv ∪ (SemanticCore.Class.cab (nb090AlphaDummy337 A)
(Compiler.CompactSourceSyntax.synWrex (nb090AlphaDummy338 A) (SemanticCore.Class.cv (nb090AlphaDummy333 A))
(SemanticCore.Wff.classEq (SemanticCore.Class.cv (nb090AlphaDummy337 A))
(Compiler.CompactSourceSyntax.synCun
(Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv (nb090AlphaDummy338 A)))
(Compiler.CompactSourceSyntax.synCsn Compiler.CompactSourceSyntax.synC0c))))).fv
theorem
NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb090_support_mem_0371
(h : SemanticCore.Var)
:
nb090AlphaDummy335 h ∈ (SemanticCore.Class.cab (nb090AlphaDummy339 h)
(Compiler.CompactSourceSyntax.synWrex (nb090AlphaDummy340 h) (SemanticCore.Class.cv (nb090AlphaDummy335 h))
(SemanticCore.Wff.classEq (SemanticCore.Class.cv (nb090AlphaDummy339 h))
(Compiler.CompactSourceSyntax.synCun
(Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv (nb090AlphaDummy340 h)))
(Compiler.CompactSourceSyntax.synCsn Compiler.CompactSourceSyntax.synC0c))))).fv ∪ (SemanticCore.Class.cab (nb090AlphaDummy339 h)
(Compiler.CompactSourceSyntax.synWrex (nb090AlphaDummy340 h) (SemanticCore.Class.cv (nb090AlphaDummy335 h))
(SemanticCore.Wff.classEq (SemanticCore.Class.cv (nb090AlphaDummy339 h))
(Compiler.CompactSourceSyntax.synCun
(Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv (nb090AlphaDummy340 h)))
(Compiler.CompactSourceSyntax.synCsn Compiler.CompactSourceSyntax.synC0c))))).fv
theorem
NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb090_support_mem_0376
(A : SemanticCore.Class)
:
nb090AlphaDummy000 A ∈ (Compiler.CompactSourceSyntax.synCnin
(Compiler.CompactSourceSyntax.synCrn (SemanticCore.Class.cv (nb090AlphaDummy000 A)))
(Compiler.CompactSourceSyntax.synCfv Compiler.CompactSourceSyntax.synC2nd
(SemanticCore.Class.cv (nb090AlphaDummy002 A)))).fv ∪ (Compiler.CompactSourceSyntax.synCnin
(Compiler.CompactSourceSyntax.synCrn (SemanticCore.Class.cv (nb090AlphaDummy000 A)))
(Compiler.CompactSourceSyntax.synCfv Compiler.CompactSourceSyntax.synC2nd
(SemanticCore.Class.cv (nb090AlphaDummy002 A)))).fv
theorem
NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb090_support_mem_0377
(v h : SemanticCore.Var)
:
h ∈ (Compiler.CompactSourceSyntax.synCnin (Compiler.CompactSourceSyntax.synCrn (SemanticCore.Class.cv h))
(Compiler.CompactSourceSyntax.synCfv Compiler.CompactSourceSyntax.synC2nd (SemanticCore.Class.cv v))).fv ∪ (Compiler.CompactSourceSyntax.synCnin (Compiler.CompactSourceSyntax.synCrn (SemanticCore.Class.cv h))
(Compiler.CompactSourceSyntax.synCfv Compiler.CompactSourceSyntax.synC2nd (SemanticCore.Class.cv v))).fv
theorem
NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb090_support_mem_0382
(A : SemanticCore.Class)
:
nb090AlphaDummy002 A ∈ (Compiler.CompactSourceSyntax.synCnin
(Compiler.CompactSourceSyntax.synCrn (SemanticCore.Class.cv (nb090AlphaDummy000 A)))
(Compiler.CompactSourceSyntax.synCfv Compiler.CompactSourceSyntax.synC2nd
(SemanticCore.Class.cv (nb090AlphaDummy002 A)))).fv ∪ (Compiler.CompactSourceSyntax.synCnin
(Compiler.CompactSourceSyntax.synCrn (SemanticCore.Class.cv (nb090AlphaDummy000 A)))
(Compiler.CompactSourceSyntax.synCfv Compiler.CompactSourceSyntax.synC2nd
(SemanticCore.Class.cv (nb090AlphaDummy002 A)))).fv
theorem
NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb090_support_mem_0383
(v h : SemanticCore.Var)
:
v ∈ (Compiler.CompactSourceSyntax.synCnin (Compiler.CompactSourceSyntax.synCrn (SemanticCore.Class.cv h))
(Compiler.CompactSourceSyntax.synCfv Compiler.CompactSourceSyntax.synC2nd (SemanticCore.Class.cv v))).fv ∪ (Compiler.CompactSourceSyntax.synCnin (Compiler.CompactSourceSyntax.synCrn (SemanticCore.Class.cv h))
(Compiler.CompactSourceSyntax.synCfv Compiler.CompactSourceSyntax.synC2nd (SemanticCore.Class.cv v))).fv
theorem
NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb090_support_mem_0388
(A : SemanticCore.Class)
:
nb090AlphaDummy002 A ∈ (SemanticCore.Class.cab (nb090AlphaDummy375 A)
(SemanticCore.Wff.classEq
(SemanticCore.Class.cab (nb090AlphaDummy373 A)
(Compiler.CompactSourceSyntax.synWbr (SemanticCore.Class.cv (nb090AlphaDummy002 A))
Compiler.CompactSourceSyntax.synC2nd (SemanticCore.Class.cv (nb090AlphaDummy373 A))))
(Compiler.CompactSourceSyntax.synCsn (SemanticCore.Class.cv (nb090AlphaDummy375 A))))).fv
theorem
NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb090_support_mem_0391
(v : SemanticCore.Var)
:
v ∈ (SemanticCore.Class.cab (nb090AlphaDummy376 v)
(SemanticCore.Wff.classEq
(SemanticCore.Class.cab (nb090AlphaDummy374 v)
(Compiler.CompactSourceSyntax.synWbr (SemanticCore.Class.cv v) Compiler.CompactSourceSyntax.synC2nd
(SemanticCore.Class.cv (nb090AlphaDummy374 v))))
(Compiler.CompactSourceSyntax.synCsn (SemanticCore.Class.cv (nb090AlphaDummy376 v))))).fv
theorem
NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb090_support_mem_0393
(A : SemanticCore.Class)
:
nb090AlphaDummy002 A ∈ (Compiler.CompactSourceSyntax.synCcompl
(SemanticCore.Class.cab (nb090AlphaDummy381 A)
(Compiler.CompactSourceSyntax.synWrex (nb090AlphaDummy382 A) (SemanticCore.Class.cv (nb090AlphaDummy002 A))
(SemanticCore.Wff.classEq (SemanticCore.Class.cv (nb090AlphaDummy381 A))
(Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv (nb090AlphaDummy382 A))))))).fv ∪ (Compiler.CompactSourceSyntax.synCcompl
(SemanticCore.Class.cab (nb090AlphaDummy381 A)
(Compiler.CompactSourceSyntax.synWrex (nb090AlphaDummy382 A) (SemanticCore.Class.cv (nb090AlphaDummy373 A))
(SemanticCore.Wff.classEq (SemanticCore.Class.cv (nb090AlphaDummy381 A))
(Compiler.CompactSourceSyntax.synCun
(Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv (nb090AlphaDummy382 A)))
(Compiler.CompactSourceSyntax.synCsn Compiler.CompactSourceSyntax.synC0c)))))).fv
theorem
NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb090_support_mem_0395
(v : SemanticCore.Var)
:
v ∈ (Compiler.CompactSourceSyntax.synCcompl
(SemanticCore.Class.cab (nb090AlphaDummy383 v)
(Compiler.CompactSourceSyntax.synWrex (nb090AlphaDummy384 v) (SemanticCore.Class.cv v)
(SemanticCore.Wff.classEq (SemanticCore.Class.cv (nb090AlphaDummy383 v))
(Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv (nb090AlphaDummy384 v))))))).fv ∪ (Compiler.CompactSourceSyntax.synCcompl
(SemanticCore.Class.cab (nb090AlphaDummy383 v)
(Compiler.CompactSourceSyntax.synWrex (nb090AlphaDummy384 v) (SemanticCore.Class.cv (nb090AlphaDummy374 v))
(SemanticCore.Wff.classEq (SemanticCore.Class.cv (nb090AlphaDummy383 v))
(Compiler.CompactSourceSyntax.synCun
(Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv (nb090AlphaDummy384 v)))
(Compiler.CompactSourceSyntax.synCsn Compiler.CompactSourceSyntax.synC0c)))))).fv
theorem
NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb090_support_mem_0396
(A : SemanticCore.Class)
:
nb090AlphaDummy002 A ∈ (SemanticCore.Class.cab (nb090AlphaDummy381 A)
(Compiler.CompactSourceSyntax.synWrex (nb090AlphaDummy382 A) (SemanticCore.Class.cv (nb090AlphaDummy002 A))
(SemanticCore.Wff.classEq (SemanticCore.Class.cv (nb090AlphaDummy381 A))
(Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv (nb090AlphaDummy382 A)))))).fv ∪ (SemanticCore.Class.cab (nb090AlphaDummy381 A)
(Compiler.CompactSourceSyntax.synWrex (nb090AlphaDummy382 A) (SemanticCore.Class.cv (nb090AlphaDummy002 A))
(SemanticCore.Wff.classEq (SemanticCore.Class.cv (nb090AlphaDummy381 A))
(Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv (nb090AlphaDummy382 A)))))).fv
theorem
NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb090_support_mem_0397
(v : SemanticCore.Var)
:
v ∈ (SemanticCore.Class.cab (nb090AlphaDummy383 v)
(Compiler.CompactSourceSyntax.synWrex (nb090AlphaDummy384 v) (SemanticCore.Class.cv v)
(SemanticCore.Wff.classEq (SemanticCore.Class.cv (nb090AlphaDummy383 v))
(Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv (nb090AlphaDummy384 v)))))).fv ∪ (SemanticCore.Class.cab (nb090AlphaDummy383 v)
(Compiler.CompactSourceSyntax.synWrex (nb090AlphaDummy384 v) (SemanticCore.Class.cv v)
(SemanticCore.Wff.classEq (SemanticCore.Class.cv (nb090AlphaDummy383 v))
(Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv (nb090AlphaDummy384 v)))))).fv
theorem
NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb090_support_mem_0400
(A : SemanticCore.Class)
:
nb090AlphaDummy389 A ∈ (SemanticCore.Wff.classMem (SemanticCore.Class.cv (nb090AlphaDummy389 A)) Compiler.CompactSourceSyntax.synCnnc).fv ∪ (Compiler.CompactSourceSyntax.synCplc (SemanticCore.Class.cv (nb090AlphaDummy389 A))
Compiler.CompactSourceSyntax.synC1c).fv ∪ (SemanticCore.Class.cv (nb090AlphaDummy389 A)).fv
theorem
NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb090_support_mem_0401
(v : SemanticCore.Var)
:
nb090AlphaDummy391 v ∈ (SemanticCore.Wff.classMem (SemanticCore.Class.cv (nb090AlphaDummy391 v)) Compiler.CompactSourceSyntax.synCnnc).fv ∪ (Compiler.CompactSourceSyntax.synCplc (SemanticCore.Class.cv (nb090AlphaDummy391 v))
Compiler.CompactSourceSyntax.synC1c).fv ∪ (SemanticCore.Class.cv (nb090AlphaDummy391 v)).fv
theorem
NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb090_support_mem_0421
(A : SemanticCore.Class)
:
nb090AlphaDummy373 A ∈ (Compiler.CompactSourceSyntax.synCcompl
(SemanticCore.Class.cab (nb090AlphaDummy381 A)
(Compiler.CompactSourceSyntax.synWrex (nb090AlphaDummy382 A) (SemanticCore.Class.cv (nb090AlphaDummy002 A))
(SemanticCore.Wff.classEq (SemanticCore.Class.cv (nb090AlphaDummy381 A))
(Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv (nb090AlphaDummy382 A))))))).fv ∪ (Compiler.CompactSourceSyntax.synCcompl
(SemanticCore.Class.cab (nb090AlphaDummy381 A)
(Compiler.CompactSourceSyntax.synWrex (nb090AlphaDummy382 A) (SemanticCore.Class.cv (nb090AlphaDummy373 A))
(SemanticCore.Wff.classEq (SemanticCore.Class.cv (nb090AlphaDummy381 A))
(Compiler.CompactSourceSyntax.synCun
(Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv (nb090AlphaDummy382 A)))
(Compiler.CompactSourceSyntax.synCsn Compiler.CompactSourceSyntax.synC0c)))))).fv
theorem
NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb090_support_mem_0423
(v : SemanticCore.Var)
:
nb090AlphaDummy374 v ∈ (Compiler.CompactSourceSyntax.synCcompl
(SemanticCore.Class.cab (nb090AlphaDummy383 v)
(Compiler.CompactSourceSyntax.synWrex (nb090AlphaDummy384 v) (SemanticCore.Class.cv v)
(SemanticCore.Wff.classEq (SemanticCore.Class.cv (nb090AlphaDummy383 v))
(Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv (nb090AlphaDummy384 v))))))).fv ∪ (Compiler.CompactSourceSyntax.synCcompl
(SemanticCore.Class.cab (nb090AlphaDummy383 v)
(Compiler.CompactSourceSyntax.synWrex (nb090AlphaDummy384 v) (SemanticCore.Class.cv (nb090AlphaDummy374 v))
(SemanticCore.Wff.classEq (SemanticCore.Class.cv (nb090AlphaDummy383 v))
(Compiler.CompactSourceSyntax.synCun
(Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv (nb090AlphaDummy384 v)))
(Compiler.CompactSourceSyntax.synCsn Compiler.CompactSourceSyntax.synC0c)))))).fv
theorem
NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb090_support_mem_0424
(A : SemanticCore.Class)
:
nb090AlphaDummy373 A ∈ (SemanticCore.Class.cab (nb090AlphaDummy381 A)
(Compiler.CompactSourceSyntax.synWrex (nb090AlphaDummy382 A) (SemanticCore.Class.cv (nb090AlphaDummy373 A))
(SemanticCore.Wff.classEq (SemanticCore.Class.cv (nb090AlphaDummy381 A))
(Compiler.CompactSourceSyntax.synCun
(Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv (nb090AlphaDummy382 A)))
(Compiler.CompactSourceSyntax.synCsn Compiler.CompactSourceSyntax.synC0c))))).fv ∪ (SemanticCore.Class.cab (nb090AlphaDummy381 A)
(Compiler.CompactSourceSyntax.synWrex (nb090AlphaDummy382 A) (SemanticCore.Class.cv (nb090AlphaDummy373 A))
(SemanticCore.Wff.classEq (SemanticCore.Class.cv (nb090AlphaDummy381 A))
(Compiler.CompactSourceSyntax.synCun
(Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv (nb090AlphaDummy382 A)))
(Compiler.CompactSourceSyntax.synCsn Compiler.CompactSourceSyntax.synC0c))))).fv
theorem
NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb090_support_mem_0425
(v : SemanticCore.Var)
:
nb090AlphaDummy374 v ∈ (SemanticCore.Class.cab (nb090AlphaDummy383 v)
(Compiler.CompactSourceSyntax.synWrex (nb090AlphaDummy384 v) (SemanticCore.Class.cv (nb090AlphaDummy374 v))
(SemanticCore.Wff.classEq (SemanticCore.Class.cv (nb090AlphaDummy383 v))
(Compiler.CompactSourceSyntax.synCun
(Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv (nb090AlphaDummy384 v)))
(Compiler.CompactSourceSyntax.synCsn Compiler.CompactSourceSyntax.synC0c))))).fv ∪ (SemanticCore.Class.cab (nb090AlphaDummy383 v)
(Compiler.CompactSourceSyntax.synWrex (nb090AlphaDummy384 v) (SemanticCore.Class.cv (nb090AlphaDummy374 v))
(SemanticCore.Wff.classEq (SemanticCore.Class.cv (nb090AlphaDummy383 v))
(Compiler.CompactSourceSyntax.synCun
(Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv (nb090AlphaDummy384 v)))
(Compiler.CompactSourceSyntax.synCsn Compiler.CompactSourceSyntax.synC0c))))).fv
theorem
NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb090_support_mem_0432
(A : SemanticCore.Class)
:
nb090AlphaDummy423 A ∈ {nb090AlphaDummy423 A} ∪ {nb090AlphaDummy424 A} ∪ (Compiler.CompactSourceSyntax.synWex (nb090AlphaDummy425 A)
(Compiler.CompactSourceSyntax.synWa
(Compiler.CompactSourceSyntax.synWbr (SemanticCore.Class.cv (nb090AlphaDummy423 A))
(Compiler.CompactSourceSyntax.synCcnv
(Compiler.CompactSourceSyntax.synCcnv (SemanticCore.Class.cv (nb090AlphaDummy000 A))))
(SemanticCore.Class.cv (nb090AlphaDummy425 A)))
(Compiler.CompactSourceSyntax.synWbr (SemanticCore.Class.cv (nb090AlphaDummy425 A))
(Compiler.CompactSourceSyntax.synCcnv (SemanticCore.Class.cv (nb090AlphaDummy000 A)))
(SemanticCore.Class.cv (nb090AlphaDummy424 A))))).fv
theorem
NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb090_support_mem_0433
(h : SemanticCore.Var)
:
nb090AlphaDummy426 h ∈ {nb090AlphaDummy426 h} ∪ {nb090AlphaDummy427 h} ∪ (Compiler.CompactSourceSyntax.synWex (nb090AlphaDummy428 h)
(Compiler.CompactSourceSyntax.synWa
(Compiler.CompactSourceSyntax.synWbr (SemanticCore.Class.cv (nb090AlphaDummy426 h))
(Compiler.CompactSourceSyntax.synCcnv (Compiler.CompactSourceSyntax.synCcnv (SemanticCore.Class.cv h)))
(SemanticCore.Class.cv (nb090AlphaDummy428 h)))
(Compiler.CompactSourceSyntax.synWbr (SemanticCore.Class.cv (nb090AlphaDummy428 h))
(Compiler.CompactSourceSyntax.synCcnv (SemanticCore.Class.cv h))
(SemanticCore.Class.cv (nb090AlphaDummy427 h))))).fv
theorem
NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb090_support_mem_0434
(A : SemanticCore.Class)
:
nb090AlphaDummy424 A ∈ {nb090AlphaDummy423 A} ∪ {nb090AlphaDummy424 A} ∪ (Compiler.CompactSourceSyntax.synWex (nb090AlphaDummy425 A)
(Compiler.CompactSourceSyntax.synWa
(Compiler.CompactSourceSyntax.synWbr (SemanticCore.Class.cv (nb090AlphaDummy423 A))
(Compiler.CompactSourceSyntax.synCcnv
(Compiler.CompactSourceSyntax.synCcnv (SemanticCore.Class.cv (nb090AlphaDummy000 A))))
(SemanticCore.Class.cv (nb090AlphaDummy425 A)))
(Compiler.CompactSourceSyntax.synWbr (SemanticCore.Class.cv (nb090AlphaDummy425 A))
(Compiler.CompactSourceSyntax.synCcnv (SemanticCore.Class.cv (nb090AlphaDummy000 A)))
(SemanticCore.Class.cv (nb090AlphaDummy424 A))))).fv
theorem
NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb090_support_mem_0435
(h : SemanticCore.Var)
:
nb090AlphaDummy427 h ∈ {nb090AlphaDummy426 h} ∪ {nb090AlphaDummy427 h} ∪ (Compiler.CompactSourceSyntax.synWex (nb090AlphaDummy428 h)
(Compiler.CompactSourceSyntax.synWa
(Compiler.CompactSourceSyntax.synWbr (SemanticCore.Class.cv (nb090AlphaDummy426 h))
(Compiler.CompactSourceSyntax.synCcnv (Compiler.CompactSourceSyntax.synCcnv (SemanticCore.Class.cv h)))
(SemanticCore.Class.cv (nb090AlphaDummy428 h)))
(Compiler.CompactSourceSyntax.synWbr (SemanticCore.Class.cv (nb090AlphaDummy428 h))
(Compiler.CompactSourceSyntax.synCcnv (SemanticCore.Class.cv h))
(SemanticCore.Class.cv (nb090AlphaDummy427 h))))).fv
theorem
NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb090_support_mem_0437
(A : SemanticCore.Class)
:
nb090AlphaDummy423 A ∈ (Compiler.CompactSourceSyntax.synCcompl
(SemanticCore.Class.cab (nb090AlphaDummy431 A)
(Compiler.CompactSourceSyntax.synWrex (nb090AlphaDummy432 A) (SemanticCore.Class.cv (nb090AlphaDummy423 A))
(SemanticCore.Wff.classEq (SemanticCore.Class.cv (nb090AlphaDummy431 A))
(Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv (nb090AlphaDummy432 A))))))).fv ∪ (Compiler.CompactSourceSyntax.synCcompl
(SemanticCore.Class.cab (nb090AlphaDummy431 A)
(Compiler.CompactSourceSyntax.synWrex (nb090AlphaDummy432 A) (SemanticCore.Class.cv (nb090AlphaDummy424 A))
(SemanticCore.Wff.classEq (SemanticCore.Class.cv (nb090AlphaDummy431 A))
(Compiler.CompactSourceSyntax.synCun
(Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv (nb090AlphaDummy432 A)))
(Compiler.CompactSourceSyntax.synCsn Compiler.CompactSourceSyntax.synC0c)))))).fv
theorem
NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb090_support_mem_0439
(h : SemanticCore.Var)
:
nb090AlphaDummy426 h ∈ (Compiler.CompactSourceSyntax.synCcompl
(SemanticCore.Class.cab (nb090AlphaDummy433 h)
(Compiler.CompactSourceSyntax.synWrex (nb090AlphaDummy434 h) (SemanticCore.Class.cv (nb090AlphaDummy426 h))
(SemanticCore.Wff.classEq (SemanticCore.Class.cv (nb090AlphaDummy433 h))
(Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv (nb090AlphaDummy434 h))))))).fv ∪ (Compiler.CompactSourceSyntax.synCcompl
(SemanticCore.Class.cab (nb090AlphaDummy433 h)
(Compiler.CompactSourceSyntax.synWrex (nb090AlphaDummy434 h) (SemanticCore.Class.cv (nb090AlphaDummy427 h))
(SemanticCore.Wff.classEq (SemanticCore.Class.cv (nb090AlphaDummy433 h))
(Compiler.CompactSourceSyntax.synCun
(Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv (nb090AlphaDummy434 h)))
(Compiler.CompactSourceSyntax.synCsn Compiler.CompactSourceSyntax.synC0c)))))).fv
theorem
NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb090_support_mem_0440
(A : SemanticCore.Class)
:
nb090AlphaDummy423 A ∈ (SemanticCore.Class.cab (nb090AlphaDummy431 A)
(Compiler.CompactSourceSyntax.synWrex (nb090AlphaDummy432 A) (SemanticCore.Class.cv (nb090AlphaDummy423 A))
(SemanticCore.Wff.classEq (SemanticCore.Class.cv (nb090AlphaDummy431 A))
(Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv (nb090AlphaDummy432 A)))))).fv ∪ (SemanticCore.Class.cab (nb090AlphaDummy431 A)
(Compiler.CompactSourceSyntax.synWrex (nb090AlphaDummy432 A) (SemanticCore.Class.cv (nb090AlphaDummy423 A))
(SemanticCore.Wff.classEq (SemanticCore.Class.cv (nb090AlphaDummy431 A))
(Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv (nb090AlphaDummy432 A)))))).fv
theorem
NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb090_support_mem_0441
(h : SemanticCore.Var)
:
nb090AlphaDummy426 h ∈ (SemanticCore.Class.cab (nb090AlphaDummy433 h)
(Compiler.CompactSourceSyntax.synWrex (nb090AlphaDummy434 h) (SemanticCore.Class.cv (nb090AlphaDummy426 h))
(SemanticCore.Wff.classEq (SemanticCore.Class.cv (nb090AlphaDummy433 h))
(Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv (nb090AlphaDummy434 h)))))).fv ∪ (SemanticCore.Class.cab (nb090AlphaDummy433 h)
(Compiler.CompactSourceSyntax.synWrex (nb090AlphaDummy434 h) (SemanticCore.Class.cv (nb090AlphaDummy426 h))
(SemanticCore.Wff.classEq (SemanticCore.Class.cv (nb090AlphaDummy433 h))
(Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv (nb090AlphaDummy434 h)))))).fv
theorem
NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb090_support_mem_0444
(A : SemanticCore.Class)
:
nb090AlphaDummy439 A ∈ (SemanticCore.Wff.classMem (SemanticCore.Class.cv (nb090AlphaDummy439 A)) Compiler.CompactSourceSyntax.synCnnc).fv ∪ (Compiler.CompactSourceSyntax.synCplc (SemanticCore.Class.cv (nb090AlphaDummy439 A))
Compiler.CompactSourceSyntax.synC1c).fv ∪ (SemanticCore.Class.cv (nb090AlphaDummy439 A)).fv
theorem
NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb090_support_mem_0445
(h : SemanticCore.Var)
:
nb090AlphaDummy441 h ∈ (SemanticCore.Wff.classMem (SemanticCore.Class.cv (nb090AlphaDummy441 h)) Compiler.CompactSourceSyntax.synCnnc).fv ∪ (Compiler.CompactSourceSyntax.synCplc (SemanticCore.Class.cv (nb090AlphaDummy441 h))
Compiler.CompactSourceSyntax.synC1c).fv ∪ (SemanticCore.Class.cv (nb090AlphaDummy441 h)).fv
theorem
NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb090_support_mem_0465
(A : SemanticCore.Class)
:
nb090AlphaDummy424 A ∈ (Compiler.CompactSourceSyntax.synCcompl
(SemanticCore.Class.cab (nb090AlphaDummy431 A)
(Compiler.CompactSourceSyntax.synWrex (nb090AlphaDummy432 A) (SemanticCore.Class.cv (nb090AlphaDummy423 A))
(SemanticCore.Wff.classEq (SemanticCore.Class.cv (nb090AlphaDummy431 A))
(Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv (nb090AlphaDummy432 A))))))).fv ∪ (Compiler.CompactSourceSyntax.synCcompl
(SemanticCore.Class.cab (nb090AlphaDummy431 A)
(Compiler.CompactSourceSyntax.synWrex (nb090AlphaDummy432 A) (SemanticCore.Class.cv (nb090AlphaDummy424 A))
(SemanticCore.Wff.classEq (SemanticCore.Class.cv (nb090AlphaDummy431 A))
(Compiler.CompactSourceSyntax.synCun
(Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv (nb090AlphaDummy432 A)))
(Compiler.CompactSourceSyntax.synCsn Compiler.CompactSourceSyntax.synC0c)))))).fv
theorem
NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb090_support_mem_0467
(h : SemanticCore.Var)
:
nb090AlphaDummy427 h ∈ (Compiler.CompactSourceSyntax.synCcompl
(SemanticCore.Class.cab (nb090AlphaDummy433 h)
(Compiler.CompactSourceSyntax.synWrex (nb090AlphaDummy434 h) (SemanticCore.Class.cv (nb090AlphaDummy426 h))
(SemanticCore.Wff.classEq (SemanticCore.Class.cv (nb090AlphaDummy433 h))
(Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv (nb090AlphaDummy434 h))))))).fv ∪ (Compiler.CompactSourceSyntax.synCcompl
(SemanticCore.Class.cab (nb090AlphaDummy433 h)
(Compiler.CompactSourceSyntax.synWrex (nb090AlphaDummy434 h) (SemanticCore.Class.cv (nb090AlphaDummy427 h))
(SemanticCore.Wff.classEq (SemanticCore.Class.cv (nb090AlphaDummy433 h))
(Compiler.CompactSourceSyntax.synCun
(Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv (nb090AlphaDummy434 h)))
(Compiler.CompactSourceSyntax.synCsn Compiler.CompactSourceSyntax.synC0c)))))).fv
theorem
NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb090_support_mem_0468
(A : SemanticCore.Class)
:
nb090AlphaDummy424 A ∈ (SemanticCore.Class.cab (nb090AlphaDummy431 A)
(Compiler.CompactSourceSyntax.synWrex (nb090AlphaDummy432 A) (SemanticCore.Class.cv (nb090AlphaDummy424 A))
(SemanticCore.Wff.classEq (SemanticCore.Class.cv (nb090AlphaDummy431 A))
(Compiler.CompactSourceSyntax.synCun
(Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv (nb090AlphaDummy432 A)))
(Compiler.CompactSourceSyntax.synCsn Compiler.CompactSourceSyntax.synC0c))))).fv ∪ (SemanticCore.Class.cab (nb090AlphaDummy431 A)
(Compiler.CompactSourceSyntax.synWrex (nb090AlphaDummy432 A) (SemanticCore.Class.cv (nb090AlphaDummy424 A))
(SemanticCore.Wff.classEq (SemanticCore.Class.cv (nb090AlphaDummy431 A))
(Compiler.CompactSourceSyntax.synCun
(Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv (nb090AlphaDummy432 A)))
(Compiler.CompactSourceSyntax.synCsn Compiler.CompactSourceSyntax.synC0c))))).fv
theorem
NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb090_support_mem_0469
(h : SemanticCore.Var)
:
nb090AlphaDummy427 h ∈ (SemanticCore.Class.cab (nb090AlphaDummy433 h)
(Compiler.CompactSourceSyntax.synWrex (nb090AlphaDummy434 h) (SemanticCore.Class.cv (nb090AlphaDummy427 h))
(SemanticCore.Wff.classEq (SemanticCore.Class.cv (nb090AlphaDummy433 h))
(Compiler.CompactSourceSyntax.synCun
(Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv (nb090AlphaDummy434 h)))
(Compiler.CompactSourceSyntax.synCsn Compiler.CompactSourceSyntax.synC0c))))).fv ∪ (SemanticCore.Class.cab (nb090AlphaDummy433 h)
(Compiler.CompactSourceSyntax.synWrex (nb090AlphaDummy434 h) (SemanticCore.Class.cv (nb090AlphaDummy427 h))
(SemanticCore.Wff.classEq (SemanticCore.Class.cv (nb090AlphaDummy433 h))
(Compiler.CompactSourceSyntax.synCun
(Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv (nb090AlphaDummy434 h)))
(Compiler.CompactSourceSyntax.synCsn Compiler.CompactSourceSyntax.synC0c))))).fv
theorem
NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb090_support_mem_0475
(A : SemanticCore.Class)
:
nb090AlphaDummy423 A ∈ (Compiler.CompactSourceSyntax.synCcompl
(SemanticCore.Class.cab (nb090AlphaDummy467 A)
(Compiler.CompactSourceSyntax.synWrex (nb090AlphaDummy468 A) (SemanticCore.Class.cv (nb090AlphaDummy423 A))
(SemanticCore.Wff.classEq (SemanticCore.Class.cv (nb090AlphaDummy467 A))
(Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv (nb090AlphaDummy468 A))))))).fv ∪ (Compiler.CompactSourceSyntax.synCcompl
(SemanticCore.Class.cab (nb090AlphaDummy467 A)
(Compiler.CompactSourceSyntax.synWrex (nb090AlphaDummy468 A) (SemanticCore.Class.cv (nb090AlphaDummy425 A))
(SemanticCore.Wff.classEq (SemanticCore.Class.cv (nb090AlphaDummy467 A))
(Compiler.CompactSourceSyntax.synCun
(Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv (nb090AlphaDummy468 A)))
(Compiler.CompactSourceSyntax.synCsn Compiler.CompactSourceSyntax.synC0c)))))).fv
theorem
NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb090_support_mem_0477
(h : SemanticCore.Var)
:
nb090AlphaDummy426 h ∈ (Compiler.CompactSourceSyntax.synCcompl
(SemanticCore.Class.cab (nb090AlphaDummy469 h)
(Compiler.CompactSourceSyntax.synWrex (nb090AlphaDummy470 h) (SemanticCore.Class.cv (nb090AlphaDummy426 h))
(SemanticCore.Wff.classEq (SemanticCore.Class.cv (nb090AlphaDummy469 h))
(Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv (nb090AlphaDummy470 h))))))).fv ∪ (Compiler.CompactSourceSyntax.synCcompl
(SemanticCore.Class.cab (nb090AlphaDummy469 h)
(Compiler.CompactSourceSyntax.synWrex (nb090AlphaDummy470 h) (SemanticCore.Class.cv (nb090AlphaDummy428 h))
(SemanticCore.Wff.classEq (SemanticCore.Class.cv (nb090AlphaDummy469 h))
(Compiler.CompactSourceSyntax.synCun
(Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv (nb090AlphaDummy470 h)))
(Compiler.CompactSourceSyntax.synCsn Compiler.CompactSourceSyntax.synC0c)))))).fv
theorem
NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb090_support_mem_0478
(A : SemanticCore.Class)
:
nb090AlphaDummy423 A ∈ (SemanticCore.Class.cab (nb090AlphaDummy467 A)
(Compiler.CompactSourceSyntax.synWrex (nb090AlphaDummy468 A) (SemanticCore.Class.cv (nb090AlphaDummy423 A))
(SemanticCore.Wff.classEq (SemanticCore.Class.cv (nb090AlphaDummy467 A))
(Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv (nb090AlphaDummy468 A)))))).fv ∪ (SemanticCore.Class.cab (nb090AlphaDummy467 A)
(Compiler.CompactSourceSyntax.synWrex (nb090AlphaDummy468 A) (SemanticCore.Class.cv (nb090AlphaDummy423 A))
(SemanticCore.Wff.classEq (SemanticCore.Class.cv (nb090AlphaDummy467 A))
(Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv (nb090AlphaDummy468 A)))))).fv
theorem
NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb090_support_mem_0479
(h : SemanticCore.Var)
:
nb090AlphaDummy426 h ∈ (SemanticCore.Class.cab (nb090AlphaDummy469 h)
(Compiler.CompactSourceSyntax.synWrex (nb090AlphaDummy470 h) (SemanticCore.Class.cv (nb090AlphaDummy426 h))
(SemanticCore.Wff.classEq (SemanticCore.Class.cv (nb090AlphaDummy469 h))
(Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv (nb090AlphaDummy470 h)))))).fv ∪ (SemanticCore.Class.cab (nb090AlphaDummy469 h)
(Compiler.CompactSourceSyntax.synWrex (nb090AlphaDummy470 h) (SemanticCore.Class.cv (nb090AlphaDummy426 h))
(SemanticCore.Wff.classEq (SemanticCore.Class.cv (nb090AlphaDummy469 h))
(Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv (nb090AlphaDummy470 h)))))).fv
theorem
NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb090_support_mem_0482
(A : SemanticCore.Class)
:
nb090AlphaDummy475 A ∈ (SemanticCore.Wff.classMem (SemanticCore.Class.cv (nb090AlphaDummy475 A)) Compiler.CompactSourceSyntax.synCnnc).fv ∪ (Compiler.CompactSourceSyntax.synCplc (SemanticCore.Class.cv (nb090AlphaDummy475 A))
Compiler.CompactSourceSyntax.synC1c).fv ∪ (SemanticCore.Class.cv (nb090AlphaDummy475 A)).fv
theorem
NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb090_support_mem_0483
(h : SemanticCore.Var)
:
nb090AlphaDummy477 h ∈ (SemanticCore.Wff.classMem (SemanticCore.Class.cv (nb090AlphaDummy477 h)) Compiler.CompactSourceSyntax.synCnnc).fv ∪ (Compiler.CompactSourceSyntax.synCplc (SemanticCore.Class.cv (nb090AlphaDummy477 h))
Compiler.CompactSourceSyntax.synC1c).fv ∪ (SemanticCore.Class.cv (nb090AlphaDummy477 h)).fv
Certificates from NAR4C090C001Part019.
theorem
NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb090_support_mem_0503
(A : SemanticCore.Class)
:
nb090AlphaDummy425 A ∈ (Compiler.CompactSourceSyntax.synCcompl
(SemanticCore.Class.cab (nb090AlphaDummy467 A)
(Compiler.CompactSourceSyntax.synWrex (nb090AlphaDummy468 A) (SemanticCore.Class.cv (nb090AlphaDummy423 A))
(SemanticCore.Wff.classEq (SemanticCore.Class.cv (nb090AlphaDummy467 A))
(Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv (nb090AlphaDummy468 A))))))).fv ∪ (Compiler.CompactSourceSyntax.synCcompl
(SemanticCore.Class.cab (nb090AlphaDummy467 A)
(Compiler.CompactSourceSyntax.synWrex (nb090AlphaDummy468 A) (SemanticCore.Class.cv (nb090AlphaDummy425 A))
(SemanticCore.Wff.classEq (SemanticCore.Class.cv (nb090AlphaDummy467 A))
(Compiler.CompactSourceSyntax.synCun
(Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv (nb090AlphaDummy468 A)))
(Compiler.CompactSourceSyntax.synCsn Compiler.CompactSourceSyntax.synC0c)))))).fv
theorem
NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb090_support_mem_0505
(h : SemanticCore.Var)
:
nb090AlphaDummy428 h ∈ (Compiler.CompactSourceSyntax.synCcompl
(SemanticCore.Class.cab (nb090AlphaDummy469 h)
(Compiler.CompactSourceSyntax.synWrex (nb090AlphaDummy470 h) (SemanticCore.Class.cv (nb090AlphaDummy426 h))
(SemanticCore.Wff.classEq (SemanticCore.Class.cv (nb090AlphaDummy469 h))
(Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv (nb090AlphaDummy470 h))))))).fv ∪ (Compiler.CompactSourceSyntax.synCcompl
(SemanticCore.Class.cab (nb090AlphaDummy469 h)
(Compiler.CompactSourceSyntax.synWrex (nb090AlphaDummy470 h) (SemanticCore.Class.cv (nb090AlphaDummy428 h))
(SemanticCore.Wff.classEq (SemanticCore.Class.cv (nb090AlphaDummy469 h))
(Compiler.CompactSourceSyntax.synCun
(Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv (nb090AlphaDummy470 h)))
(Compiler.CompactSourceSyntax.synCsn Compiler.CompactSourceSyntax.synC0c)))))).fv
theorem
NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb090_support_mem_0506
(A : SemanticCore.Class)
:
nb090AlphaDummy425 A ∈ (SemanticCore.Class.cab (nb090AlphaDummy467 A)
(Compiler.CompactSourceSyntax.synWrex (nb090AlphaDummy468 A) (SemanticCore.Class.cv (nb090AlphaDummy425 A))
(SemanticCore.Wff.classEq (SemanticCore.Class.cv (nb090AlphaDummy467 A))
(Compiler.CompactSourceSyntax.synCun
(Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv (nb090AlphaDummy468 A)))
(Compiler.CompactSourceSyntax.synCsn Compiler.CompactSourceSyntax.synC0c))))).fv ∪ (SemanticCore.Class.cab (nb090AlphaDummy467 A)
(Compiler.CompactSourceSyntax.synWrex (nb090AlphaDummy468 A) (SemanticCore.Class.cv (nb090AlphaDummy425 A))
(SemanticCore.Wff.classEq (SemanticCore.Class.cv (nb090AlphaDummy467 A))
(Compiler.CompactSourceSyntax.synCun
(Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv (nb090AlphaDummy468 A)))
(Compiler.CompactSourceSyntax.synCsn Compiler.CompactSourceSyntax.synC0c))))).fv
theorem
NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb090_support_mem_0507
(h : SemanticCore.Var)
:
nb090AlphaDummy428 h ∈ (SemanticCore.Class.cab (nb090AlphaDummy469 h)
(Compiler.CompactSourceSyntax.synWrex (nb090AlphaDummy470 h) (SemanticCore.Class.cv (nb090AlphaDummy428 h))
(SemanticCore.Wff.classEq (SemanticCore.Class.cv (nb090AlphaDummy469 h))
(Compiler.CompactSourceSyntax.synCun
(Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv (nb090AlphaDummy470 h)))
(Compiler.CompactSourceSyntax.synCsn Compiler.CompactSourceSyntax.synC0c))))).fv ∪ (SemanticCore.Class.cab (nb090AlphaDummy469 h)
(Compiler.CompactSourceSyntax.synWrex (nb090AlphaDummy470 h) (SemanticCore.Class.cv (nb090AlphaDummy428 h))
(SemanticCore.Wff.classEq (SemanticCore.Class.cv (nb090AlphaDummy469 h))
(Compiler.CompactSourceSyntax.synCun
(Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv (nb090AlphaDummy470 h)))
(Compiler.CompactSourceSyntax.synCsn Compiler.CompactSourceSyntax.synC0c))))).fv
theorem
NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb090_support_mem_0517
(A : SemanticCore.Class)
:
nb090AlphaDummy503 A ∈ (Compiler.CompactSourceSyntax.synCcompl
(SemanticCore.Class.cab (nb090AlphaDummy509 A)
(Compiler.CompactSourceSyntax.synWrex (nb090AlphaDummy510 A) (SemanticCore.Class.cv (nb090AlphaDummy503 A))
(SemanticCore.Wff.classEq (SemanticCore.Class.cv (nb090AlphaDummy509 A))
(Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv (nb090AlphaDummy510 A))))))).fv ∪ (Compiler.CompactSourceSyntax.synCcompl
(SemanticCore.Class.cab (nb090AlphaDummy509 A)
(Compiler.CompactSourceSyntax.synWrex (nb090AlphaDummy510 A) (SemanticCore.Class.cv (nb090AlphaDummy504 A))
(SemanticCore.Wff.classEq (SemanticCore.Class.cv (nb090AlphaDummy509 A))
(Compiler.CompactSourceSyntax.synCun
(Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv (nb090AlphaDummy510 A)))
(Compiler.CompactSourceSyntax.synCsn Compiler.CompactSourceSyntax.synC0c)))))).fv
theorem
NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb090_support_mem_0519
(h : SemanticCore.Var)
:
nb090AlphaDummy505 h ∈ (Compiler.CompactSourceSyntax.synCcompl
(SemanticCore.Class.cab (nb090AlphaDummy511 h)
(Compiler.CompactSourceSyntax.synWrex (nb090AlphaDummy512 h) (SemanticCore.Class.cv (nb090AlphaDummy505 h))
(SemanticCore.Wff.classEq (SemanticCore.Class.cv (nb090AlphaDummy511 h))
(Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv (nb090AlphaDummy512 h))))))).fv ∪ (Compiler.CompactSourceSyntax.synCcompl
(SemanticCore.Class.cab (nb090AlphaDummy511 h)
(Compiler.CompactSourceSyntax.synWrex (nb090AlphaDummy512 h) (SemanticCore.Class.cv (nb090AlphaDummy506 h))
(SemanticCore.Wff.classEq (SemanticCore.Class.cv (nb090AlphaDummy511 h))
(Compiler.CompactSourceSyntax.synCun
(Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv (nb090AlphaDummy512 h)))
(Compiler.CompactSourceSyntax.synCsn Compiler.CompactSourceSyntax.synC0c)))))).fv
theorem
NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb090_support_mem_0520
(A : SemanticCore.Class)
:
nb090AlphaDummy503 A ∈ (SemanticCore.Class.cab (nb090AlphaDummy509 A)
(Compiler.CompactSourceSyntax.synWrex (nb090AlphaDummy510 A) (SemanticCore.Class.cv (nb090AlphaDummy503 A))
(SemanticCore.Wff.classEq (SemanticCore.Class.cv (nb090AlphaDummy509 A))
(Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv (nb090AlphaDummy510 A)))))).fv ∪ (SemanticCore.Class.cab (nb090AlphaDummy509 A)
(Compiler.CompactSourceSyntax.synWrex (nb090AlphaDummy510 A) (SemanticCore.Class.cv (nb090AlphaDummy503 A))
(SemanticCore.Wff.classEq (SemanticCore.Class.cv (nb090AlphaDummy509 A))
(Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv (nb090AlphaDummy510 A)))))).fv
theorem
NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb090_support_mem_0521
(h : SemanticCore.Var)
:
nb090AlphaDummy505 h ∈ (SemanticCore.Class.cab (nb090AlphaDummy511 h)
(Compiler.CompactSourceSyntax.synWrex (nb090AlphaDummy512 h) (SemanticCore.Class.cv (nb090AlphaDummy505 h))
(SemanticCore.Wff.classEq (SemanticCore.Class.cv (nb090AlphaDummy511 h))
(Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv (nb090AlphaDummy512 h)))))).fv ∪ (SemanticCore.Class.cab (nb090AlphaDummy511 h)
(Compiler.CompactSourceSyntax.synWrex (nb090AlphaDummy512 h) (SemanticCore.Class.cv (nb090AlphaDummy505 h))
(SemanticCore.Wff.classEq (SemanticCore.Class.cv (nb090AlphaDummy511 h))
(Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv (nb090AlphaDummy512 h)))))).fv
theorem
NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb090_support_mem_0524
(A : SemanticCore.Class)
:
nb090AlphaDummy517 A ∈ (SemanticCore.Wff.classMem (SemanticCore.Class.cv (nb090AlphaDummy517 A)) Compiler.CompactSourceSyntax.synCnnc).fv ∪ (Compiler.CompactSourceSyntax.synCplc (SemanticCore.Class.cv (nb090AlphaDummy517 A))
Compiler.CompactSourceSyntax.synC1c).fv ∪ (SemanticCore.Class.cv (nb090AlphaDummy517 A)).fv
theorem
NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb090_support_mem_0525
(h : SemanticCore.Var)
:
nb090AlphaDummy519 h ∈ (SemanticCore.Wff.classMem (SemanticCore.Class.cv (nb090AlphaDummy519 h)) Compiler.CompactSourceSyntax.synCnnc).fv ∪ (Compiler.CompactSourceSyntax.synCplc (SemanticCore.Class.cv (nb090AlphaDummy519 h))
Compiler.CompactSourceSyntax.synC1c).fv ∪ (SemanticCore.Class.cv (nb090AlphaDummy519 h)).fv
theorem
NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb090_support_mem_0545
(A : SemanticCore.Class)
:
nb090AlphaDummy504 A ∈ (Compiler.CompactSourceSyntax.synCcompl
(SemanticCore.Class.cab (nb090AlphaDummy509 A)
(Compiler.CompactSourceSyntax.synWrex (nb090AlphaDummy510 A) (SemanticCore.Class.cv (nb090AlphaDummy503 A))
(SemanticCore.Wff.classEq (SemanticCore.Class.cv (nb090AlphaDummy509 A))
(Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv (nb090AlphaDummy510 A))))))).fv ∪ (Compiler.CompactSourceSyntax.synCcompl
(SemanticCore.Class.cab (nb090AlphaDummy509 A)
(Compiler.CompactSourceSyntax.synWrex (nb090AlphaDummy510 A) (SemanticCore.Class.cv (nb090AlphaDummy504 A))
(SemanticCore.Wff.classEq (SemanticCore.Class.cv (nb090AlphaDummy509 A))
(Compiler.CompactSourceSyntax.synCun
(Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv (nb090AlphaDummy510 A)))
(Compiler.CompactSourceSyntax.synCsn Compiler.CompactSourceSyntax.synC0c)))))).fv
theorem
NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb090_support_mem_0547
(h : SemanticCore.Var)
:
nb090AlphaDummy506 h ∈ (Compiler.CompactSourceSyntax.synCcompl
(SemanticCore.Class.cab (nb090AlphaDummy511 h)
(Compiler.CompactSourceSyntax.synWrex (nb090AlphaDummy512 h) (SemanticCore.Class.cv (nb090AlphaDummy505 h))
(SemanticCore.Wff.classEq (SemanticCore.Class.cv (nb090AlphaDummy511 h))
(Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv (nb090AlphaDummy512 h))))))).fv ∪ (Compiler.CompactSourceSyntax.synCcompl
(SemanticCore.Class.cab (nb090AlphaDummy511 h)
(Compiler.CompactSourceSyntax.synWrex (nb090AlphaDummy512 h) (SemanticCore.Class.cv (nb090AlphaDummy506 h))
(SemanticCore.Wff.classEq (SemanticCore.Class.cv (nb090AlphaDummy511 h))
(Compiler.CompactSourceSyntax.synCun
(Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv (nb090AlphaDummy512 h)))
(Compiler.CompactSourceSyntax.synCsn Compiler.CompactSourceSyntax.synC0c)))))).fv
theorem
NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb090_support_mem_0548
(A : SemanticCore.Class)
:
nb090AlphaDummy504 A ∈ (SemanticCore.Class.cab (nb090AlphaDummy509 A)
(Compiler.CompactSourceSyntax.synWrex (nb090AlphaDummy510 A) (SemanticCore.Class.cv (nb090AlphaDummy504 A))
(SemanticCore.Wff.classEq (SemanticCore.Class.cv (nb090AlphaDummy509 A))
(Compiler.CompactSourceSyntax.synCun
(Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv (nb090AlphaDummy510 A)))
(Compiler.CompactSourceSyntax.synCsn Compiler.CompactSourceSyntax.synC0c))))).fv ∪ (SemanticCore.Class.cab (nb090AlphaDummy509 A)
(Compiler.CompactSourceSyntax.synWrex (nb090AlphaDummy510 A) (SemanticCore.Class.cv (nb090AlphaDummy504 A))
(SemanticCore.Wff.classEq (SemanticCore.Class.cv (nb090AlphaDummy509 A))
(Compiler.CompactSourceSyntax.synCun
(Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv (nb090AlphaDummy510 A)))
(Compiler.CompactSourceSyntax.synCsn Compiler.CompactSourceSyntax.synC0c))))).fv
theorem
NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb090_support_mem_0549
(h : SemanticCore.Var)
:
nb090AlphaDummy506 h ∈ (SemanticCore.Class.cab (nb090AlphaDummy511 h)
(Compiler.CompactSourceSyntax.synWrex (nb090AlphaDummy512 h) (SemanticCore.Class.cv (nb090AlphaDummy506 h))
(SemanticCore.Wff.classEq (SemanticCore.Class.cv (nb090AlphaDummy511 h))
(Compiler.CompactSourceSyntax.synCun
(Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv (nb090AlphaDummy512 h)))
(Compiler.CompactSourceSyntax.synCsn Compiler.CompactSourceSyntax.synC0c))))).fv ∪ (SemanticCore.Class.cab (nb090AlphaDummy511 h)
(Compiler.CompactSourceSyntax.synWrex (nb090AlphaDummy512 h) (SemanticCore.Class.cv (nb090AlphaDummy506 h))
(SemanticCore.Wff.classEq (SemanticCore.Class.cv (nb090AlphaDummy511 h))
(Compiler.CompactSourceSyntax.synCun
(Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv (nb090AlphaDummy512 h)))
(Compiler.CompactSourceSyntax.synCsn Compiler.CompactSourceSyntax.synC0c))))).fv
theorem
NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb090_support_mem_0555
(A : SemanticCore.Class)
:
nb090AlphaDummy504 A ∈ (Compiler.CompactSourceSyntax.synCcompl
(SemanticCore.Class.cab (nb090AlphaDummy545 A)
(Compiler.CompactSourceSyntax.synWrex (nb090AlphaDummy546 A) (SemanticCore.Class.cv (nb090AlphaDummy504 A))
(SemanticCore.Wff.classEq (SemanticCore.Class.cv (nb090AlphaDummy545 A))
(Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv (nb090AlphaDummy546 A))))))).fv ∪ (Compiler.CompactSourceSyntax.synCcompl
(SemanticCore.Class.cab (nb090AlphaDummy545 A)
(Compiler.CompactSourceSyntax.synWrex (nb090AlphaDummy546 A) (SemanticCore.Class.cv (nb090AlphaDummy503 A))
(SemanticCore.Wff.classEq (SemanticCore.Class.cv (nb090AlphaDummy545 A))
(Compiler.CompactSourceSyntax.synCun
(Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv (nb090AlphaDummy546 A)))
(Compiler.CompactSourceSyntax.synCsn Compiler.CompactSourceSyntax.synC0c)))))).fv
theorem
NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb090_support_mem_0557
(h : SemanticCore.Var)
:
nb090AlphaDummy506 h ∈ (Compiler.CompactSourceSyntax.synCcompl
(SemanticCore.Class.cab (nb090AlphaDummy547 h)
(Compiler.CompactSourceSyntax.synWrex (nb090AlphaDummy548 h) (SemanticCore.Class.cv (nb090AlphaDummy506 h))
(SemanticCore.Wff.classEq (SemanticCore.Class.cv (nb090AlphaDummy547 h))
(Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv (nb090AlphaDummy548 h))))))).fv ∪ (Compiler.CompactSourceSyntax.synCcompl
(SemanticCore.Class.cab (nb090AlphaDummy547 h)
(Compiler.CompactSourceSyntax.synWrex (nb090AlphaDummy548 h) (SemanticCore.Class.cv (nb090AlphaDummy505 h))
(SemanticCore.Wff.classEq (SemanticCore.Class.cv (nb090AlphaDummy547 h))
(Compiler.CompactSourceSyntax.synCun
(Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv (nb090AlphaDummy548 h)))
(Compiler.CompactSourceSyntax.synCsn Compiler.CompactSourceSyntax.synC0c)))))).fv
theorem
NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb090_support_mem_0558
(A : SemanticCore.Class)
:
nb090AlphaDummy504 A ∈ (SemanticCore.Class.cab (nb090AlphaDummy545 A)
(Compiler.CompactSourceSyntax.synWrex (nb090AlphaDummy546 A) (SemanticCore.Class.cv (nb090AlphaDummy504 A))
(SemanticCore.Wff.classEq (SemanticCore.Class.cv (nb090AlphaDummy545 A))
(Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv (nb090AlphaDummy546 A)))))).fv ∪ (SemanticCore.Class.cab (nb090AlphaDummy545 A)
(Compiler.CompactSourceSyntax.synWrex (nb090AlphaDummy546 A) (SemanticCore.Class.cv (nb090AlphaDummy504 A))
(SemanticCore.Wff.classEq (SemanticCore.Class.cv (nb090AlphaDummy545 A))
(Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv (nb090AlphaDummy546 A)))))).fv
theorem
NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb090_support_mem_0559
(h : SemanticCore.Var)
:
nb090AlphaDummy506 h ∈ (SemanticCore.Class.cab (nb090AlphaDummy547 h)
(Compiler.CompactSourceSyntax.synWrex (nb090AlphaDummy548 h) (SemanticCore.Class.cv (nb090AlphaDummy506 h))
(SemanticCore.Wff.classEq (SemanticCore.Class.cv (nb090AlphaDummy547 h))
(Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv (nb090AlphaDummy548 h)))))).fv ∪ (SemanticCore.Class.cab (nb090AlphaDummy547 h)
(Compiler.CompactSourceSyntax.synWrex (nb090AlphaDummy548 h) (SemanticCore.Class.cv (nb090AlphaDummy506 h))
(SemanticCore.Wff.classEq (SemanticCore.Class.cv (nb090AlphaDummy547 h))
(Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv (nb090AlphaDummy548 h)))))).fv
theorem
NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb090_support_mem_0562
(A : SemanticCore.Class)
:
nb090AlphaDummy553 A ∈ (SemanticCore.Wff.classMem (SemanticCore.Class.cv (nb090AlphaDummy553 A)) Compiler.CompactSourceSyntax.synCnnc).fv ∪ (Compiler.CompactSourceSyntax.synCplc (SemanticCore.Class.cv (nb090AlphaDummy553 A))
Compiler.CompactSourceSyntax.synC1c).fv ∪ (SemanticCore.Class.cv (nb090AlphaDummy553 A)).fv
theorem
NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb090_support_mem_0563
(h : SemanticCore.Var)
:
nb090AlphaDummy555 h ∈ (SemanticCore.Wff.classMem (SemanticCore.Class.cv (nb090AlphaDummy555 h)) Compiler.CompactSourceSyntax.synCnnc).fv ∪ (Compiler.CompactSourceSyntax.synCplc (SemanticCore.Class.cv (nb090AlphaDummy555 h))
Compiler.CompactSourceSyntax.synC1c).fv ∪ (SemanticCore.Class.cv (nb090AlphaDummy555 h)).fv
theorem
NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb090_support_mem_0583
(A : SemanticCore.Class)
:
nb090AlphaDummy503 A ∈ (Compiler.CompactSourceSyntax.synCcompl
(SemanticCore.Class.cab (nb090AlphaDummy545 A)
(Compiler.CompactSourceSyntax.synWrex (nb090AlphaDummy546 A) (SemanticCore.Class.cv (nb090AlphaDummy504 A))
(SemanticCore.Wff.classEq (SemanticCore.Class.cv (nb090AlphaDummy545 A))
(Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv (nb090AlphaDummy546 A))))))).fv ∪ (Compiler.CompactSourceSyntax.synCcompl
(SemanticCore.Class.cab (nb090AlphaDummy545 A)
(Compiler.CompactSourceSyntax.synWrex (nb090AlphaDummy546 A) (SemanticCore.Class.cv (nb090AlphaDummy503 A))
(SemanticCore.Wff.classEq (SemanticCore.Class.cv (nb090AlphaDummy545 A))
(Compiler.CompactSourceSyntax.synCun
(Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv (nb090AlphaDummy546 A)))
(Compiler.CompactSourceSyntax.synCsn Compiler.CompactSourceSyntax.synC0c)))))).fv
theorem
NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb090_support_mem_0585
(h : SemanticCore.Var)
:
nb090AlphaDummy505 h ∈ (Compiler.CompactSourceSyntax.synCcompl
(SemanticCore.Class.cab (nb090AlphaDummy547 h)
(Compiler.CompactSourceSyntax.synWrex (nb090AlphaDummy548 h) (SemanticCore.Class.cv (nb090AlphaDummy506 h))
(SemanticCore.Wff.classEq (SemanticCore.Class.cv (nb090AlphaDummy547 h))
(Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv (nb090AlphaDummy548 h))))))).fv ∪ (Compiler.CompactSourceSyntax.synCcompl
(SemanticCore.Class.cab (nb090AlphaDummy547 h)
(Compiler.CompactSourceSyntax.synWrex (nb090AlphaDummy548 h) (SemanticCore.Class.cv (nb090AlphaDummy505 h))
(SemanticCore.Wff.classEq (SemanticCore.Class.cv (nb090AlphaDummy547 h))
(Compiler.CompactSourceSyntax.synCun
(Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv (nb090AlphaDummy548 h)))
(Compiler.CompactSourceSyntax.synCsn Compiler.CompactSourceSyntax.synC0c)))))).fv
theorem
NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb090_support_mem_0586
(A : SemanticCore.Class)
:
nb090AlphaDummy503 A ∈ (SemanticCore.Class.cab (nb090AlphaDummy545 A)
(Compiler.CompactSourceSyntax.synWrex (nb090AlphaDummy546 A) (SemanticCore.Class.cv (nb090AlphaDummy503 A))
(SemanticCore.Wff.classEq (SemanticCore.Class.cv (nb090AlphaDummy545 A))
(Compiler.CompactSourceSyntax.synCun
(Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv (nb090AlphaDummy546 A)))
(Compiler.CompactSourceSyntax.synCsn Compiler.CompactSourceSyntax.synC0c))))).fv ∪ (SemanticCore.Class.cab (nb090AlphaDummy545 A)
(Compiler.CompactSourceSyntax.synWrex (nb090AlphaDummy546 A) (SemanticCore.Class.cv (nb090AlphaDummy503 A))
(SemanticCore.Wff.classEq (SemanticCore.Class.cv (nb090AlphaDummy545 A))
(Compiler.CompactSourceSyntax.synCun
(Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv (nb090AlphaDummy546 A)))
(Compiler.CompactSourceSyntax.synCsn Compiler.CompactSourceSyntax.synC0c))))).fv
theorem
NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb090_support_mem_0587
(h : SemanticCore.Var)
:
nb090AlphaDummy505 h ∈ (SemanticCore.Class.cab (nb090AlphaDummy547 h)
(Compiler.CompactSourceSyntax.synWrex (nb090AlphaDummy548 h) (SemanticCore.Class.cv (nb090AlphaDummy505 h))
(SemanticCore.Wff.classEq (SemanticCore.Class.cv (nb090AlphaDummy547 h))
(Compiler.CompactSourceSyntax.synCun
(Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv (nb090AlphaDummy548 h)))
(Compiler.CompactSourceSyntax.synCsn Compiler.CompactSourceSyntax.synC0c))))).fv ∪ (SemanticCore.Class.cab (nb090AlphaDummy547 h)
(Compiler.CompactSourceSyntax.synWrex (nb090AlphaDummy548 h) (SemanticCore.Class.cv (nb090AlphaDummy505 h))
(SemanticCore.Wff.classEq (SemanticCore.Class.cv (nb090AlphaDummy547 h))
(Compiler.CompactSourceSyntax.synCun
(Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv (nb090AlphaDummy548 h)))
(Compiler.CompactSourceSyntax.synCsn Compiler.CompactSourceSyntax.synC0c))))).fv
theorem
NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb090_support_mem_0592
(A : SemanticCore.Class)
:
nb090AlphaDummy000 A ∈ (Compiler.CompactSourceSyntax.synCnin
(Compiler.CompactSourceSyntax.synCcom
(Compiler.CompactSourceSyntax.synCcnv (SemanticCore.Class.cv (nb090AlphaDummy000 A)))
(Compiler.CompactSourceSyntax.synCcnv
(Compiler.CompactSourceSyntax.synCcnv (SemanticCore.Class.cv (nb090AlphaDummy000 A)))))
Compiler.CompactSourceSyntax.synCid).fv ∪ (Compiler.CompactSourceSyntax.synCnin
(Compiler.CompactSourceSyntax.synCcom
(Compiler.CompactSourceSyntax.synCcnv (SemanticCore.Class.cv (nb090AlphaDummy000 A)))
(Compiler.CompactSourceSyntax.synCcnv
(Compiler.CompactSourceSyntax.synCcnv (SemanticCore.Class.cv (nb090AlphaDummy000 A)))))
Compiler.CompactSourceSyntax.synCid).fv
theorem
NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb090_support_mem_0593
(h : SemanticCore.Var)
:
h ∈ (Compiler.CompactSourceSyntax.synCnin
(Compiler.CompactSourceSyntax.synCcom (Compiler.CompactSourceSyntax.synCcnv (SemanticCore.Class.cv h))
(Compiler.CompactSourceSyntax.synCcnv (Compiler.CompactSourceSyntax.synCcnv (SemanticCore.Class.cv h))))
Compiler.CompactSourceSyntax.synCid).fv ∪ (Compiler.CompactSourceSyntax.synCnin
(Compiler.CompactSourceSyntax.synCcom (Compiler.CompactSourceSyntax.synCcnv (SemanticCore.Class.cv h))
(Compiler.CompactSourceSyntax.synCcnv (Compiler.CompactSourceSyntax.synCcnv (SemanticCore.Class.cv h))))
Compiler.CompactSourceSyntax.synCid).fv
theorem
NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb090_support_mem_0594
(A : SemanticCore.Class)
:
nb090AlphaDummy000 A ∈ (Compiler.CompactSourceSyntax.synCcom
(Compiler.CompactSourceSyntax.synCcnv (SemanticCore.Class.cv (nb090AlphaDummy000 A)))
(Compiler.CompactSourceSyntax.synCcnv
(Compiler.CompactSourceSyntax.synCcnv (SemanticCore.Class.cv (nb090AlphaDummy000 A))))).fv ∪ Compiler.CompactSourceSyntax.synCid.fv
theorem
NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb090_support_mem_0597
(A : SemanticCore.Class)
:
nb090AlphaDummy000 A ∈ {nb090AlphaDummy423 A} ∪ {nb090AlphaDummy424 A} ∪ (Compiler.CompactSourceSyntax.synWex (nb090AlphaDummy425 A)
(Compiler.CompactSourceSyntax.synWa
(Compiler.CompactSourceSyntax.synWbr (SemanticCore.Class.cv (nb090AlphaDummy423 A))
(Compiler.CompactSourceSyntax.synCcnv
(Compiler.CompactSourceSyntax.synCcnv (SemanticCore.Class.cv (nb090AlphaDummy000 A))))
(SemanticCore.Class.cv (nb090AlphaDummy425 A)))
(Compiler.CompactSourceSyntax.synWbr (SemanticCore.Class.cv (nb090AlphaDummy425 A))
(Compiler.CompactSourceSyntax.synCcnv (SemanticCore.Class.cv (nb090AlphaDummy000 A)))
(SemanticCore.Class.cv (nb090AlphaDummy424 A))))).fv
theorem
NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb090_support_mem_0599
(h : SemanticCore.Var)
:
h ∈ {nb090AlphaDummy426 h} ∪ {nb090AlphaDummy427 h} ∪ (Compiler.CompactSourceSyntax.synWex (nb090AlphaDummy428 h)
(Compiler.CompactSourceSyntax.synWa
(Compiler.CompactSourceSyntax.synWbr (SemanticCore.Class.cv (nb090AlphaDummy426 h))
(Compiler.CompactSourceSyntax.synCcnv (Compiler.CompactSourceSyntax.synCcnv (SemanticCore.Class.cv h)))
(SemanticCore.Class.cv (nb090AlphaDummy428 h)))
(Compiler.CompactSourceSyntax.synWbr (SemanticCore.Class.cv (nb090AlphaDummy428 h))
(Compiler.CompactSourceSyntax.synCcnv (SemanticCore.Class.cv h))
(SemanticCore.Class.cv (nb090AlphaDummy427 h))))).fv
theorem
NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb090_support_mem_0605
(A : SemanticCore.Class)
:
nb090AlphaDummy425 A ∈ (Compiler.CompactSourceSyntax.synCcompl
(SemanticCore.Class.cab (nb090AlphaDummy581 A)
(Compiler.CompactSourceSyntax.synWrex (nb090AlphaDummy582 A) (SemanticCore.Class.cv (nb090AlphaDummy425 A))
(SemanticCore.Wff.classEq (SemanticCore.Class.cv (nb090AlphaDummy581 A))
(Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv (nb090AlphaDummy582 A))))))).fv ∪ (Compiler.CompactSourceSyntax.synCcompl
(SemanticCore.Class.cab (nb090AlphaDummy581 A)
(Compiler.CompactSourceSyntax.synWrex (nb090AlphaDummy582 A) (SemanticCore.Class.cv (nb090AlphaDummy424 A))
(SemanticCore.Wff.classEq (SemanticCore.Class.cv (nb090AlphaDummy581 A))
(Compiler.CompactSourceSyntax.synCun
(Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv (nb090AlphaDummy582 A)))
(Compiler.CompactSourceSyntax.synCsn Compiler.CompactSourceSyntax.synC0c)))))).fv
theorem
NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb090_support_mem_0607
(h : SemanticCore.Var)
:
nb090AlphaDummy428 h ∈ (Compiler.CompactSourceSyntax.synCcompl
(SemanticCore.Class.cab (nb090AlphaDummy583 h)
(Compiler.CompactSourceSyntax.synWrex (nb090AlphaDummy584 h) (SemanticCore.Class.cv (nb090AlphaDummy428 h))
(SemanticCore.Wff.classEq (SemanticCore.Class.cv (nb090AlphaDummy583 h))
(Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv (nb090AlphaDummy584 h))))))).fv ∪ (Compiler.CompactSourceSyntax.synCcompl
(SemanticCore.Class.cab (nb090AlphaDummy583 h)
(Compiler.CompactSourceSyntax.synWrex (nb090AlphaDummy584 h) (SemanticCore.Class.cv (nb090AlphaDummy427 h))
(SemanticCore.Wff.classEq (SemanticCore.Class.cv (nb090AlphaDummy583 h))
(Compiler.CompactSourceSyntax.synCun
(Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv (nb090AlphaDummy584 h)))
(Compiler.CompactSourceSyntax.synCsn Compiler.CompactSourceSyntax.synC0c)))))).fv
theorem
NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb090_support_mem_0608
(A : SemanticCore.Class)
:
nb090AlphaDummy425 A ∈ (SemanticCore.Class.cab (nb090AlphaDummy581 A)
(Compiler.CompactSourceSyntax.synWrex (nb090AlphaDummy582 A) (SemanticCore.Class.cv (nb090AlphaDummy425 A))
(SemanticCore.Wff.classEq (SemanticCore.Class.cv (nb090AlphaDummy581 A))
(Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv (nb090AlphaDummy582 A)))))).fv ∪ (SemanticCore.Class.cab (nb090AlphaDummy581 A)
(Compiler.CompactSourceSyntax.synWrex (nb090AlphaDummy582 A) (SemanticCore.Class.cv (nb090AlphaDummy425 A))
(SemanticCore.Wff.classEq (SemanticCore.Class.cv (nb090AlphaDummy581 A))
(Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv (nb090AlphaDummy582 A)))))).fv
theorem
NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb090_support_mem_0609
(h : SemanticCore.Var)
:
nb090AlphaDummy428 h ∈ (SemanticCore.Class.cab (nb090AlphaDummy583 h)
(Compiler.CompactSourceSyntax.synWrex (nb090AlphaDummy584 h) (SemanticCore.Class.cv (nb090AlphaDummy428 h))
(SemanticCore.Wff.classEq (SemanticCore.Class.cv (nb090AlphaDummy583 h))
(Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv (nb090AlphaDummy584 h)))))).fv ∪ (SemanticCore.Class.cab (nb090AlphaDummy583 h)
(Compiler.CompactSourceSyntax.synWrex (nb090AlphaDummy584 h) (SemanticCore.Class.cv (nb090AlphaDummy428 h))
(SemanticCore.Wff.classEq (SemanticCore.Class.cv (nb090AlphaDummy583 h))
(Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv (nb090AlphaDummy584 h)))))).fv
theorem
NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb090_support_mem_0612
(A : SemanticCore.Class)
:
nb090AlphaDummy589 A ∈ (SemanticCore.Wff.classMem (SemanticCore.Class.cv (nb090AlphaDummy589 A)) Compiler.CompactSourceSyntax.synCnnc).fv ∪ (Compiler.CompactSourceSyntax.synCplc (SemanticCore.Class.cv (nb090AlphaDummy589 A))
Compiler.CompactSourceSyntax.synC1c).fv ∪ (SemanticCore.Class.cv (nb090AlphaDummy589 A)).fv
theorem
NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb090_support_mem_0613
(h : SemanticCore.Var)
:
nb090AlphaDummy591 h ∈ (SemanticCore.Wff.classMem (SemanticCore.Class.cv (nb090AlphaDummy591 h)) Compiler.CompactSourceSyntax.synCnnc).fv ∪ (Compiler.CompactSourceSyntax.synCplc (SemanticCore.Class.cv (nb090AlphaDummy591 h))
Compiler.CompactSourceSyntax.synC1c).fv ∪ (SemanticCore.Class.cv (nb090AlphaDummy591 h)).fv
theorem
NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb090_support_mem_0633
(A : SemanticCore.Class)
:
nb090AlphaDummy424 A ∈ (Compiler.CompactSourceSyntax.synCcompl
(SemanticCore.Class.cab (nb090AlphaDummy581 A)
(Compiler.CompactSourceSyntax.synWrex (nb090AlphaDummy582 A) (SemanticCore.Class.cv (nb090AlphaDummy425 A))
(SemanticCore.Wff.classEq (SemanticCore.Class.cv (nb090AlphaDummy581 A))
(Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv (nb090AlphaDummy582 A))))))).fv ∪ (Compiler.CompactSourceSyntax.synCcompl
(SemanticCore.Class.cab (nb090AlphaDummy581 A)
(Compiler.CompactSourceSyntax.synWrex (nb090AlphaDummy582 A) (SemanticCore.Class.cv (nb090AlphaDummy424 A))
(SemanticCore.Wff.classEq (SemanticCore.Class.cv (nb090AlphaDummy581 A))
(Compiler.CompactSourceSyntax.synCun
(Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv (nb090AlphaDummy582 A)))
(Compiler.CompactSourceSyntax.synCsn Compiler.CompactSourceSyntax.synC0c)))))).fv