Nominal proof certificates grouped in dependency order.
Certificates from NAR4C078C001Part024.
theorem
NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb078_support_mem_0323 :
nb078AlphaDummy288 ∈ (Compiler.CompactSourceSyntax.synCcompl
(SemanticCore.Class.cab nb078AlphaDummy295
(Compiler.CompactSourceSyntax.synWrex nb078AlphaDummy296 (SemanticCore.Class.cv nb078AlphaDummy287)
(SemanticCore.Wff.classEq (SemanticCore.Class.cv nb078AlphaDummy295)
(Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv nb078AlphaDummy296)))))).fv ∪ (Compiler.CompactSourceSyntax.synCcompl
(SemanticCore.Class.cab nb078AlphaDummy295
(Compiler.CompactSourceSyntax.synWrex nb078AlphaDummy296 (SemanticCore.Class.cv nb078AlphaDummy288)
(SemanticCore.Wff.classEq (SemanticCore.Class.cv nb078AlphaDummy295)
(Compiler.CompactSourceSyntax.synCun
(Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv nb078AlphaDummy296))
(Compiler.CompactSourceSyntax.synCsn Compiler.CompactSourceSyntax.synC0c)))))).fv
theorem
NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb078_support_mem_0325
(g : SemanticCore.Var)
:
nb078AlphaDummy291 g ∈ (Compiler.CompactSourceSyntax.synCcompl
(SemanticCore.Class.cab (nb078AlphaDummy297 g)
(Compiler.CompactSourceSyntax.synWrex (nb078AlphaDummy298 g) (SemanticCore.Class.cv (nb078AlphaDummy290 g))
(SemanticCore.Wff.classEq (SemanticCore.Class.cv (nb078AlphaDummy297 g))
(Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv (nb078AlphaDummy298 g))))))).fv ∪ (Compiler.CompactSourceSyntax.synCcompl
(SemanticCore.Class.cab (nb078AlphaDummy297 g)
(Compiler.CompactSourceSyntax.synWrex (nb078AlphaDummy298 g) (SemanticCore.Class.cv (nb078AlphaDummy291 g))
(SemanticCore.Wff.classEq (SemanticCore.Class.cv (nb078AlphaDummy297 g))
(Compiler.CompactSourceSyntax.synCun
(Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv (nb078AlphaDummy298 g)))
(Compiler.CompactSourceSyntax.synCsn Compiler.CompactSourceSyntax.synC0c)))))).fv
theorem
NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb078_support_mem_0326 :
nb078AlphaDummy288 ∈ (SemanticCore.Class.cab nb078AlphaDummy295
(Compiler.CompactSourceSyntax.synWrex nb078AlphaDummy296 (SemanticCore.Class.cv nb078AlphaDummy288)
(SemanticCore.Wff.classEq (SemanticCore.Class.cv nb078AlphaDummy295)
(Compiler.CompactSourceSyntax.synCun
(Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv nb078AlphaDummy296))
(Compiler.CompactSourceSyntax.synCsn Compiler.CompactSourceSyntax.synC0c))))).fv ∪ (SemanticCore.Class.cab nb078AlphaDummy295
(Compiler.CompactSourceSyntax.synWrex nb078AlphaDummy296 (SemanticCore.Class.cv nb078AlphaDummy288)
(SemanticCore.Wff.classEq (SemanticCore.Class.cv nb078AlphaDummy295)
(Compiler.CompactSourceSyntax.synCun
(Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv nb078AlphaDummy296))
(Compiler.CompactSourceSyntax.synCsn Compiler.CompactSourceSyntax.synC0c))))).fv
theorem
NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb078_support_mem_0327
(g : SemanticCore.Var)
:
nb078AlphaDummy291 g ∈ (SemanticCore.Class.cab (nb078AlphaDummy297 g)
(Compiler.CompactSourceSyntax.synWrex (nb078AlphaDummy298 g) (SemanticCore.Class.cv (nb078AlphaDummy291 g))
(SemanticCore.Wff.classEq (SemanticCore.Class.cv (nb078AlphaDummy297 g))
(Compiler.CompactSourceSyntax.synCun
(Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv (nb078AlphaDummy298 g)))
(Compiler.CompactSourceSyntax.synCsn Compiler.CompactSourceSyntax.synC0c))))).fv ∪ (SemanticCore.Class.cab (nb078AlphaDummy297 g)
(Compiler.CompactSourceSyntax.synWrex (nb078AlphaDummy298 g) (SemanticCore.Class.cv (nb078AlphaDummy291 g))
(SemanticCore.Wff.classEq (SemanticCore.Class.cv (nb078AlphaDummy297 g))
(Compiler.CompactSourceSyntax.synCun
(Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv (nb078AlphaDummy298 g)))
(Compiler.CompactSourceSyntax.synCsn Compiler.CompactSourceSyntax.synC0c))))).fv
theorem
NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb078_support_mem_0333 :
nb078AlphaDummy287 ∈ (Compiler.CompactSourceSyntax.synCcompl
(SemanticCore.Class.cab nb078AlphaDummy331
(Compiler.CompactSourceSyntax.synWrex nb078AlphaDummy332 (SemanticCore.Class.cv nb078AlphaDummy287)
(SemanticCore.Wff.classEq (SemanticCore.Class.cv nb078AlphaDummy331)
(Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv nb078AlphaDummy332)))))).fv ∪ (Compiler.CompactSourceSyntax.synCcompl
(SemanticCore.Class.cab nb078AlphaDummy331
(Compiler.CompactSourceSyntax.synWrex nb078AlphaDummy332 (SemanticCore.Class.cv nb078AlphaDummy289)
(SemanticCore.Wff.classEq (SemanticCore.Class.cv nb078AlphaDummy331)
(Compiler.CompactSourceSyntax.synCun
(Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv nb078AlphaDummy332))
(Compiler.CompactSourceSyntax.synCsn Compiler.CompactSourceSyntax.synC0c)))))).fv
theorem
NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb078_support_mem_0335
(g : SemanticCore.Var)
:
nb078AlphaDummy290 g ∈ (Compiler.CompactSourceSyntax.synCcompl
(SemanticCore.Class.cab (nb078AlphaDummy333 g)
(Compiler.CompactSourceSyntax.synWrex (nb078AlphaDummy334 g) (SemanticCore.Class.cv (nb078AlphaDummy290 g))
(SemanticCore.Wff.classEq (SemanticCore.Class.cv (nb078AlphaDummy333 g))
(Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv (nb078AlphaDummy334 g))))))).fv ∪ (Compiler.CompactSourceSyntax.synCcompl
(SemanticCore.Class.cab (nb078AlphaDummy333 g)
(Compiler.CompactSourceSyntax.synWrex (nb078AlphaDummy334 g) (SemanticCore.Class.cv (nb078AlphaDummy292 g))
(SemanticCore.Wff.classEq (SemanticCore.Class.cv (nb078AlphaDummy333 g))
(Compiler.CompactSourceSyntax.synCun
(Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv (nb078AlphaDummy334 g)))
(Compiler.CompactSourceSyntax.synCsn Compiler.CompactSourceSyntax.synC0c)))))).fv
theorem
NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb078_support_mem_0336 :
nb078AlphaDummy287 ∈ (SemanticCore.Class.cab nb078AlphaDummy331
(Compiler.CompactSourceSyntax.synWrex nb078AlphaDummy332 (SemanticCore.Class.cv nb078AlphaDummy287)
(SemanticCore.Wff.classEq (SemanticCore.Class.cv nb078AlphaDummy331)
(Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv nb078AlphaDummy332))))).fv ∪ (SemanticCore.Class.cab nb078AlphaDummy331
(Compiler.CompactSourceSyntax.synWrex nb078AlphaDummy332 (SemanticCore.Class.cv nb078AlphaDummy287)
(SemanticCore.Wff.classEq (SemanticCore.Class.cv nb078AlphaDummy331)
(Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv nb078AlphaDummy332))))).fv
theorem
NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb078_support_mem_0337
(g : SemanticCore.Var)
:
nb078AlphaDummy290 g ∈ (SemanticCore.Class.cab (nb078AlphaDummy333 g)
(Compiler.CompactSourceSyntax.synWrex (nb078AlphaDummy334 g) (SemanticCore.Class.cv (nb078AlphaDummy290 g))
(SemanticCore.Wff.classEq (SemanticCore.Class.cv (nb078AlphaDummy333 g))
(Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv (nb078AlphaDummy334 g)))))).fv ∪ (SemanticCore.Class.cab (nb078AlphaDummy333 g)
(Compiler.CompactSourceSyntax.synWrex (nb078AlphaDummy334 g) (SemanticCore.Class.cv (nb078AlphaDummy290 g))
(SemanticCore.Wff.classEq (SemanticCore.Class.cv (nb078AlphaDummy333 g))
(Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv (nb078AlphaDummy334 g)))))).fv
theorem
NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb078_support_mem_0340 :
nb078AlphaDummy339 ∈ (SemanticCore.Wff.classMem (SemanticCore.Class.cv nb078AlphaDummy339) Compiler.CompactSourceSyntax.synCnnc).fv ∪ (Compiler.CompactSourceSyntax.synCplc (SemanticCore.Class.cv nb078AlphaDummy339)
Compiler.CompactSourceSyntax.synC1c).fv ∪ (SemanticCore.Class.cv nb078AlphaDummy339).fv
theorem
NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb078_support_mem_0341
(g : SemanticCore.Var)
:
nb078AlphaDummy341 g ∈ (SemanticCore.Wff.classMem (SemanticCore.Class.cv (nb078AlphaDummy341 g)) Compiler.CompactSourceSyntax.synCnnc).fv ∪ (Compiler.CompactSourceSyntax.synCplc (SemanticCore.Class.cv (nb078AlphaDummy341 g))
Compiler.CompactSourceSyntax.synC1c).fv ∪ (SemanticCore.Class.cv (nb078AlphaDummy341 g)).fv
theorem
NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb078_support_mem_0361 :
nb078AlphaDummy289 ∈ (Compiler.CompactSourceSyntax.synCcompl
(SemanticCore.Class.cab nb078AlphaDummy331
(Compiler.CompactSourceSyntax.synWrex nb078AlphaDummy332 (SemanticCore.Class.cv nb078AlphaDummy287)
(SemanticCore.Wff.classEq (SemanticCore.Class.cv nb078AlphaDummy331)
(Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv nb078AlphaDummy332)))))).fv ∪ (Compiler.CompactSourceSyntax.synCcompl
(SemanticCore.Class.cab nb078AlphaDummy331
(Compiler.CompactSourceSyntax.synWrex nb078AlphaDummy332 (SemanticCore.Class.cv nb078AlphaDummy289)
(SemanticCore.Wff.classEq (SemanticCore.Class.cv nb078AlphaDummy331)
(Compiler.CompactSourceSyntax.synCun
(Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv nb078AlphaDummy332))
(Compiler.CompactSourceSyntax.synCsn Compiler.CompactSourceSyntax.synC0c)))))).fv
theorem
NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb078_support_mem_0363
(g : SemanticCore.Var)
:
nb078AlphaDummy292 g ∈ (Compiler.CompactSourceSyntax.synCcompl
(SemanticCore.Class.cab (nb078AlphaDummy333 g)
(Compiler.CompactSourceSyntax.synWrex (nb078AlphaDummy334 g) (SemanticCore.Class.cv (nb078AlphaDummy290 g))
(SemanticCore.Wff.classEq (SemanticCore.Class.cv (nb078AlphaDummy333 g))
(Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv (nb078AlphaDummy334 g))))))).fv ∪ (Compiler.CompactSourceSyntax.synCcompl
(SemanticCore.Class.cab (nb078AlphaDummy333 g)
(Compiler.CompactSourceSyntax.synWrex (nb078AlphaDummy334 g) (SemanticCore.Class.cv (nb078AlphaDummy292 g))
(SemanticCore.Wff.classEq (SemanticCore.Class.cv (nb078AlphaDummy333 g))
(Compiler.CompactSourceSyntax.synCun
(Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv (nb078AlphaDummy334 g)))
(Compiler.CompactSourceSyntax.synCsn Compiler.CompactSourceSyntax.synC0c)))))).fv
theorem
NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb078_support_mem_0364 :
nb078AlphaDummy289 ∈ (SemanticCore.Class.cab nb078AlphaDummy331
(Compiler.CompactSourceSyntax.synWrex nb078AlphaDummy332 (SemanticCore.Class.cv nb078AlphaDummy289)
(SemanticCore.Wff.classEq (SemanticCore.Class.cv nb078AlphaDummy331)
(Compiler.CompactSourceSyntax.synCun
(Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv nb078AlphaDummy332))
(Compiler.CompactSourceSyntax.synCsn Compiler.CompactSourceSyntax.synC0c))))).fv ∪ (SemanticCore.Class.cab nb078AlphaDummy331
(Compiler.CompactSourceSyntax.synWrex nb078AlphaDummy332 (SemanticCore.Class.cv nb078AlphaDummy289)
(SemanticCore.Wff.classEq (SemanticCore.Class.cv nb078AlphaDummy331)
(Compiler.CompactSourceSyntax.synCun
(Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv nb078AlphaDummy332))
(Compiler.CompactSourceSyntax.synCsn Compiler.CompactSourceSyntax.synC0c))))).fv
theorem
NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb078_support_mem_0365
(g : SemanticCore.Var)
:
nb078AlphaDummy292 g ∈ (SemanticCore.Class.cab (nb078AlphaDummy333 g)
(Compiler.CompactSourceSyntax.synWrex (nb078AlphaDummy334 g) (SemanticCore.Class.cv (nb078AlphaDummy292 g))
(SemanticCore.Wff.classEq (SemanticCore.Class.cv (nb078AlphaDummy333 g))
(Compiler.CompactSourceSyntax.synCun
(Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv (nb078AlphaDummy334 g)))
(Compiler.CompactSourceSyntax.synCsn Compiler.CompactSourceSyntax.synC0c))))).fv ∪ (SemanticCore.Class.cab (nb078AlphaDummy333 g)
(Compiler.CompactSourceSyntax.synWrex (nb078AlphaDummy334 g) (SemanticCore.Class.cv (nb078AlphaDummy292 g))
(SemanticCore.Wff.classEq (SemanticCore.Class.cv (nb078AlphaDummy333 g))
(Compiler.CompactSourceSyntax.synCun
(Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv (nb078AlphaDummy334 g)))
(Compiler.CompactSourceSyntax.synCsn Compiler.CompactSourceSyntax.synC0c))))).fv
theorem
NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb078_support_mem_0375 :
nb078AlphaDummy367 ∈ (Compiler.CompactSourceSyntax.synCcompl
(SemanticCore.Class.cab nb078AlphaDummy373
(Compiler.CompactSourceSyntax.synWrex nb078AlphaDummy374 (SemanticCore.Class.cv nb078AlphaDummy367)
(SemanticCore.Wff.classEq (SemanticCore.Class.cv nb078AlphaDummy373)
(Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv nb078AlphaDummy374)))))).fv ∪ (Compiler.CompactSourceSyntax.synCcompl
(SemanticCore.Class.cab nb078AlphaDummy373
(Compiler.CompactSourceSyntax.synWrex nb078AlphaDummy374 (SemanticCore.Class.cv nb078AlphaDummy368)
(SemanticCore.Wff.classEq (SemanticCore.Class.cv nb078AlphaDummy373)
(Compiler.CompactSourceSyntax.synCun
(Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv nb078AlphaDummy374))
(Compiler.CompactSourceSyntax.synCsn Compiler.CompactSourceSyntax.synC0c)))))).fv
theorem
NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb078_support_mem_0377
(g : SemanticCore.Var)
:
nb078AlphaDummy369 g ∈ (Compiler.CompactSourceSyntax.synCcompl
(SemanticCore.Class.cab (nb078AlphaDummy375 g)
(Compiler.CompactSourceSyntax.synWrex (nb078AlphaDummy376 g) (SemanticCore.Class.cv (nb078AlphaDummy369 g))
(SemanticCore.Wff.classEq (SemanticCore.Class.cv (nb078AlphaDummy375 g))
(Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv (nb078AlphaDummy376 g))))))).fv ∪ (Compiler.CompactSourceSyntax.synCcompl
(SemanticCore.Class.cab (nb078AlphaDummy375 g)
(Compiler.CompactSourceSyntax.synWrex (nb078AlphaDummy376 g) (SemanticCore.Class.cv (nb078AlphaDummy370 g))
(SemanticCore.Wff.classEq (SemanticCore.Class.cv (nb078AlphaDummy375 g))
(Compiler.CompactSourceSyntax.synCun
(Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv (nb078AlphaDummy376 g)))
(Compiler.CompactSourceSyntax.synCsn Compiler.CompactSourceSyntax.synC0c)))))).fv
theorem
NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb078_support_mem_0378 :
nb078AlphaDummy367 ∈ (SemanticCore.Class.cab nb078AlphaDummy373
(Compiler.CompactSourceSyntax.synWrex nb078AlphaDummy374 (SemanticCore.Class.cv nb078AlphaDummy367)
(SemanticCore.Wff.classEq (SemanticCore.Class.cv nb078AlphaDummy373)
(Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv nb078AlphaDummy374))))).fv ∪ (SemanticCore.Class.cab nb078AlphaDummy373
(Compiler.CompactSourceSyntax.synWrex nb078AlphaDummy374 (SemanticCore.Class.cv nb078AlphaDummy367)
(SemanticCore.Wff.classEq (SemanticCore.Class.cv nb078AlphaDummy373)
(Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv nb078AlphaDummy374))))).fv
theorem
NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb078_support_mem_0379
(g : SemanticCore.Var)
:
nb078AlphaDummy369 g ∈ (SemanticCore.Class.cab (nb078AlphaDummy375 g)
(Compiler.CompactSourceSyntax.synWrex (nb078AlphaDummy376 g) (SemanticCore.Class.cv (nb078AlphaDummy369 g))
(SemanticCore.Wff.classEq (SemanticCore.Class.cv (nb078AlphaDummy375 g))
(Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv (nb078AlphaDummy376 g)))))).fv ∪ (SemanticCore.Class.cab (nb078AlphaDummy375 g)
(Compiler.CompactSourceSyntax.synWrex (nb078AlphaDummy376 g) (SemanticCore.Class.cv (nb078AlphaDummy369 g))
(SemanticCore.Wff.classEq (SemanticCore.Class.cv (nb078AlphaDummy375 g))
(Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv (nb078AlphaDummy376 g)))))).fv
theorem
NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb078_support_mem_0382 :
nb078AlphaDummy381 ∈ (SemanticCore.Wff.classMem (SemanticCore.Class.cv nb078AlphaDummy381) Compiler.CompactSourceSyntax.synCnnc).fv ∪ (Compiler.CompactSourceSyntax.synCplc (SemanticCore.Class.cv nb078AlphaDummy381)
Compiler.CompactSourceSyntax.synC1c).fv ∪ (SemanticCore.Class.cv nb078AlphaDummy381).fv
theorem
NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb078_support_mem_0383
(g : SemanticCore.Var)
:
nb078AlphaDummy383 g ∈ (SemanticCore.Wff.classMem (SemanticCore.Class.cv (nb078AlphaDummy383 g)) Compiler.CompactSourceSyntax.synCnnc).fv ∪ (Compiler.CompactSourceSyntax.synCplc (SemanticCore.Class.cv (nb078AlphaDummy383 g))
Compiler.CompactSourceSyntax.synC1c).fv ∪ (SemanticCore.Class.cv (nb078AlphaDummy383 g)).fv
theorem
NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb078_support_mem_0403 :
nb078AlphaDummy368 ∈ (Compiler.CompactSourceSyntax.synCcompl
(SemanticCore.Class.cab nb078AlphaDummy373
(Compiler.CompactSourceSyntax.synWrex nb078AlphaDummy374 (SemanticCore.Class.cv nb078AlphaDummy367)
(SemanticCore.Wff.classEq (SemanticCore.Class.cv nb078AlphaDummy373)
(Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv nb078AlphaDummy374)))))).fv ∪ (Compiler.CompactSourceSyntax.synCcompl
(SemanticCore.Class.cab nb078AlphaDummy373
(Compiler.CompactSourceSyntax.synWrex nb078AlphaDummy374 (SemanticCore.Class.cv nb078AlphaDummy368)
(SemanticCore.Wff.classEq (SemanticCore.Class.cv nb078AlphaDummy373)
(Compiler.CompactSourceSyntax.synCun
(Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv nb078AlphaDummy374))
(Compiler.CompactSourceSyntax.synCsn Compiler.CompactSourceSyntax.synC0c)))))).fv
theorem
NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb078_support_mem_0405
(g : SemanticCore.Var)
:
nb078AlphaDummy370 g ∈ (Compiler.CompactSourceSyntax.synCcompl
(SemanticCore.Class.cab (nb078AlphaDummy375 g)
(Compiler.CompactSourceSyntax.synWrex (nb078AlphaDummy376 g) (SemanticCore.Class.cv (nb078AlphaDummy369 g))
(SemanticCore.Wff.classEq (SemanticCore.Class.cv (nb078AlphaDummy375 g))
(Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv (nb078AlphaDummy376 g))))))).fv ∪ (Compiler.CompactSourceSyntax.synCcompl
(SemanticCore.Class.cab (nb078AlphaDummy375 g)
(Compiler.CompactSourceSyntax.synWrex (nb078AlphaDummy376 g) (SemanticCore.Class.cv (nb078AlphaDummy370 g))
(SemanticCore.Wff.classEq (SemanticCore.Class.cv (nb078AlphaDummy375 g))
(Compiler.CompactSourceSyntax.synCun
(Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv (nb078AlphaDummy376 g)))
(Compiler.CompactSourceSyntax.synCsn Compiler.CompactSourceSyntax.synC0c)))))).fv
theorem
NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb078_support_mem_0406 :
nb078AlphaDummy368 ∈ (SemanticCore.Class.cab nb078AlphaDummy373
(Compiler.CompactSourceSyntax.synWrex nb078AlphaDummy374 (SemanticCore.Class.cv nb078AlphaDummy368)
(SemanticCore.Wff.classEq (SemanticCore.Class.cv nb078AlphaDummy373)
(Compiler.CompactSourceSyntax.synCun
(Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv nb078AlphaDummy374))
(Compiler.CompactSourceSyntax.synCsn Compiler.CompactSourceSyntax.synC0c))))).fv ∪ (SemanticCore.Class.cab nb078AlphaDummy373
(Compiler.CompactSourceSyntax.synWrex nb078AlphaDummy374 (SemanticCore.Class.cv nb078AlphaDummy368)
(SemanticCore.Wff.classEq (SemanticCore.Class.cv nb078AlphaDummy373)
(Compiler.CompactSourceSyntax.synCun
(Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv nb078AlphaDummy374))
(Compiler.CompactSourceSyntax.synCsn Compiler.CompactSourceSyntax.synC0c))))).fv
theorem
NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb078_support_mem_0407
(g : SemanticCore.Var)
:
nb078AlphaDummy370 g ∈ (SemanticCore.Class.cab (nb078AlphaDummy375 g)
(Compiler.CompactSourceSyntax.synWrex (nb078AlphaDummy376 g) (SemanticCore.Class.cv (nb078AlphaDummy370 g))
(SemanticCore.Wff.classEq (SemanticCore.Class.cv (nb078AlphaDummy375 g))
(Compiler.CompactSourceSyntax.synCun
(Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv (nb078AlphaDummy376 g)))
(Compiler.CompactSourceSyntax.synCsn Compiler.CompactSourceSyntax.synC0c))))).fv ∪ (SemanticCore.Class.cab (nb078AlphaDummy375 g)
(Compiler.CompactSourceSyntax.synWrex (nb078AlphaDummy376 g) (SemanticCore.Class.cv (nb078AlphaDummy370 g))
(SemanticCore.Wff.classEq (SemanticCore.Class.cv (nb078AlphaDummy375 g))
(Compiler.CompactSourceSyntax.synCun
(Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv (nb078AlphaDummy376 g)))
(Compiler.CompactSourceSyntax.synCsn Compiler.CompactSourceSyntax.synC0c))))).fv
theorem
NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb078_support_mem_0413 :
nb078AlphaDummy368 ∈ (Compiler.CompactSourceSyntax.synCcompl
(SemanticCore.Class.cab nb078AlphaDummy409
(Compiler.CompactSourceSyntax.synWrex nb078AlphaDummy410 (SemanticCore.Class.cv nb078AlphaDummy368)
(SemanticCore.Wff.classEq (SemanticCore.Class.cv nb078AlphaDummy409)
(Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv nb078AlphaDummy410)))))).fv ∪ (Compiler.CompactSourceSyntax.synCcompl
(SemanticCore.Class.cab nb078AlphaDummy409
(Compiler.CompactSourceSyntax.synWrex nb078AlphaDummy410 (SemanticCore.Class.cv nb078AlphaDummy367)
(SemanticCore.Wff.classEq (SemanticCore.Class.cv nb078AlphaDummy409)
(Compiler.CompactSourceSyntax.synCun
(Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv nb078AlphaDummy410))
(Compiler.CompactSourceSyntax.synCsn Compiler.CompactSourceSyntax.synC0c)))))).fv
theorem
NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb078_support_mem_0415
(g : SemanticCore.Var)
:
nb078AlphaDummy370 g ∈ (Compiler.CompactSourceSyntax.synCcompl
(SemanticCore.Class.cab (nb078AlphaDummy411 g)
(Compiler.CompactSourceSyntax.synWrex (nb078AlphaDummy412 g) (SemanticCore.Class.cv (nb078AlphaDummy370 g))
(SemanticCore.Wff.classEq (SemanticCore.Class.cv (nb078AlphaDummy411 g))
(Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv (nb078AlphaDummy412 g))))))).fv ∪ (Compiler.CompactSourceSyntax.synCcompl
(SemanticCore.Class.cab (nb078AlphaDummy411 g)
(Compiler.CompactSourceSyntax.synWrex (nb078AlphaDummy412 g) (SemanticCore.Class.cv (nb078AlphaDummy369 g))
(SemanticCore.Wff.classEq (SemanticCore.Class.cv (nb078AlphaDummy411 g))
(Compiler.CompactSourceSyntax.synCun
(Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv (nb078AlphaDummy412 g)))
(Compiler.CompactSourceSyntax.synCsn Compiler.CompactSourceSyntax.synC0c)))))).fv
theorem
NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb078_support_mem_0416 :
nb078AlphaDummy368 ∈ (SemanticCore.Class.cab nb078AlphaDummy409
(Compiler.CompactSourceSyntax.synWrex nb078AlphaDummy410 (SemanticCore.Class.cv nb078AlphaDummy368)
(SemanticCore.Wff.classEq (SemanticCore.Class.cv nb078AlphaDummy409)
(Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv nb078AlphaDummy410))))).fv ∪ (SemanticCore.Class.cab nb078AlphaDummy409
(Compiler.CompactSourceSyntax.synWrex nb078AlphaDummy410 (SemanticCore.Class.cv nb078AlphaDummy368)
(SemanticCore.Wff.classEq (SemanticCore.Class.cv nb078AlphaDummy409)
(Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv nb078AlphaDummy410))))).fv
theorem
NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb078_support_mem_0417
(g : SemanticCore.Var)
:
nb078AlphaDummy370 g ∈ (SemanticCore.Class.cab (nb078AlphaDummy411 g)
(Compiler.CompactSourceSyntax.synWrex (nb078AlphaDummy412 g) (SemanticCore.Class.cv (nb078AlphaDummy370 g))
(SemanticCore.Wff.classEq (SemanticCore.Class.cv (nb078AlphaDummy411 g))
(Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv (nb078AlphaDummy412 g)))))).fv ∪ (SemanticCore.Class.cab (nb078AlphaDummy411 g)
(Compiler.CompactSourceSyntax.synWrex (nb078AlphaDummy412 g) (SemanticCore.Class.cv (nb078AlphaDummy370 g))
(SemanticCore.Wff.classEq (SemanticCore.Class.cv (nb078AlphaDummy411 g))
(Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv (nb078AlphaDummy412 g)))))).fv
theorem
NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb078_support_mem_0420 :
nb078AlphaDummy417 ∈ (SemanticCore.Wff.classMem (SemanticCore.Class.cv nb078AlphaDummy417) Compiler.CompactSourceSyntax.synCnnc).fv ∪ (Compiler.CompactSourceSyntax.synCplc (SemanticCore.Class.cv nb078AlphaDummy417)
Compiler.CompactSourceSyntax.synC1c).fv ∪ (SemanticCore.Class.cv nb078AlphaDummy417).fv
theorem
NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb078_support_mem_0421
(g : SemanticCore.Var)
:
nb078AlphaDummy419 g ∈ (SemanticCore.Wff.classMem (SemanticCore.Class.cv (nb078AlphaDummy419 g)) Compiler.CompactSourceSyntax.synCnnc).fv ∪ (Compiler.CompactSourceSyntax.synCplc (SemanticCore.Class.cv (nb078AlphaDummy419 g))
Compiler.CompactSourceSyntax.synC1c).fv ∪ (SemanticCore.Class.cv (nb078AlphaDummy419 g)).fv
theorem
NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb078_support_mem_0441 :
nb078AlphaDummy367 ∈ (Compiler.CompactSourceSyntax.synCcompl
(SemanticCore.Class.cab nb078AlphaDummy409
(Compiler.CompactSourceSyntax.synWrex nb078AlphaDummy410 (SemanticCore.Class.cv nb078AlphaDummy368)
(SemanticCore.Wff.classEq (SemanticCore.Class.cv nb078AlphaDummy409)
(Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv nb078AlphaDummy410)))))).fv ∪ (Compiler.CompactSourceSyntax.synCcompl
(SemanticCore.Class.cab nb078AlphaDummy409
(Compiler.CompactSourceSyntax.synWrex nb078AlphaDummy410 (SemanticCore.Class.cv nb078AlphaDummy367)
(SemanticCore.Wff.classEq (SemanticCore.Class.cv nb078AlphaDummy409)
(Compiler.CompactSourceSyntax.synCun
(Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv nb078AlphaDummy410))
(Compiler.CompactSourceSyntax.synCsn Compiler.CompactSourceSyntax.synC0c)))))).fv
theorem
NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb078_support_mem_0443
(g : SemanticCore.Var)
:
nb078AlphaDummy369 g ∈ (Compiler.CompactSourceSyntax.synCcompl
(SemanticCore.Class.cab (nb078AlphaDummy411 g)
(Compiler.CompactSourceSyntax.synWrex (nb078AlphaDummy412 g) (SemanticCore.Class.cv (nb078AlphaDummy370 g))
(SemanticCore.Wff.classEq (SemanticCore.Class.cv (nb078AlphaDummy411 g))
(Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv (nb078AlphaDummy412 g))))))).fv ∪ (Compiler.CompactSourceSyntax.synCcompl
(SemanticCore.Class.cab (nb078AlphaDummy411 g)
(Compiler.CompactSourceSyntax.synWrex (nb078AlphaDummy412 g) (SemanticCore.Class.cv (nb078AlphaDummy369 g))
(SemanticCore.Wff.classEq (SemanticCore.Class.cv (nb078AlphaDummy411 g))
(Compiler.CompactSourceSyntax.synCun
(Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv (nb078AlphaDummy412 g)))
(Compiler.CompactSourceSyntax.synCsn Compiler.CompactSourceSyntax.synC0c)))))).fv
theorem
NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb078_support_mem_0444 :
nb078AlphaDummy367 ∈ (SemanticCore.Class.cab nb078AlphaDummy409
(Compiler.CompactSourceSyntax.synWrex nb078AlphaDummy410 (SemanticCore.Class.cv nb078AlphaDummy367)
(SemanticCore.Wff.classEq (SemanticCore.Class.cv nb078AlphaDummy409)
(Compiler.CompactSourceSyntax.synCun
(Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv nb078AlphaDummy410))
(Compiler.CompactSourceSyntax.synCsn Compiler.CompactSourceSyntax.synC0c))))).fv ∪ (SemanticCore.Class.cab nb078AlphaDummy409
(Compiler.CompactSourceSyntax.synWrex nb078AlphaDummy410 (SemanticCore.Class.cv nb078AlphaDummy367)
(SemanticCore.Wff.classEq (SemanticCore.Class.cv nb078AlphaDummy409)
(Compiler.CompactSourceSyntax.synCun
(Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv nb078AlphaDummy410))
(Compiler.CompactSourceSyntax.synCsn Compiler.CompactSourceSyntax.synC0c))))).fv
theorem
NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb078_support_mem_0445
(g : SemanticCore.Var)
:
nb078AlphaDummy369 g ∈ (SemanticCore.Class.cab (nb078AlphaDummy411 g)
(Compiler.CompactSourceSyntax.synWrex (nb078AlphaDummy412 g) (SemanticCore.Class.cv (nb078AlphaDummy369 g))
(SemanticCore.Wff.classEq (SemanticCore.Class.cv (nb078AlphaDummy411 g))
(Compiler.CompactSourceSyntax.synCun
(Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv (nb078AlphaDummy412 g)))
(Compiler.CompactSourceSyntax.synCsn Compiler.CompactSourceSyntax.synC0c))))).fv ∪ (SemanticCore.Class.cab (nb078AlphaDummy411 g)
(Compiler.CompactSourceSyntax.synWrex (nb078AlphaDummy412 g) (SemanticCore.Class.cv (nb078AlphaDummy369 g))
(SemanticCore.Wff.classEq (SemanticCore.Class.cv (nb078AlphaDummy411 g))
(Compiler.CompactSourceSyntax.synCun
(Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv (nb078AlphaDummy412 g)))
(Compiler.CompactSourceSyntax.synCsn Compiler.CompactSourceSyntax.synC0c))))).fv
theorem
NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb078_support_mem_0450 :
nb078AlphaDummy001 ∈ (Compiler.CompactSourceSyntax.synCnin
(Compiler.CompactSourceSyntax.synCcom (SemanticCore.Class.cv nb078AlphaDummy001)
(Compiler.CompactSourceSyntax.synCcnv (SemanticCore.Class.cv nb078AlphaDummy001)))
Compiler.CompactSourceSyntax.synCid).fv ∪ (Compiler.CompactSourceSyntax.synCnin
(Compiler.CompactSourceSyntax.synCcom (SemanticCore.Class.cv nb078AlphaDummy001)
(Compiler.CompactSourceSyntax.synCcnv (SemanticCore.Class.cv nb078AlphaDummy001)))
Compiler.CompactSourceSyntax.synCid).fv
theorem
NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb078_support_mem_0451
(g : SemanticCore.Var)
:
g ∈ (Compiler.CompactSourceSyntax.synCnin
(Compiler.CompactSourceSyntax.synCcom (SemanticCore.Class.cv g)
(Compiler.CompactSourceSyntax.synCcnv (SemanticCore.Class.cv g)))
Compiler.CompactSourceSyntax.synCid).fv ∪ (Compiler.CompactSourceSyntax.synCnin
(Compiler.CompactSourceSyntax.synCcom (SemanticCore.Class.cv g)
(Compiler.CompactSourceSyntax.synCcnv (SemanticCore.Class.cv g)))
Compiler.CompactSourceSyntax.synCid).fv
Certificates from NAR4C078C001Part025.
theorem
NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb078_support_mem_0455 :
nb078AlphaDummy001 ∈ {nb078AlphaDummy287} ∪ {nb078AlphaDummy288} ∪ (Compiler.CompactSourceSyntax.synWex nb078AlphaDummy289
(Compiler.CompactSourceSyntax.synWa
(Compiler.CompactSourceSyntax.synWbr (SemanticCore.Class.cv nb078AlphaDummy287)
(Compiler.CompactSourceSyntax.synCcnv (SemanticCore.Class.cv nb078AlphaDummy001))
(SemanticCore.Class.cv nb078AlphaDummy289))
(Compiler.CompactSourceSyntax.synWbr (SemanticCore.Class.cv nb078AlphaDummy289)
(SemanticCore.Class.cv nb078AlphaDummy001) (SemanticCore.Class.cv nb078AlphaDummy288)))).fv
theorem
NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb078_support_mem_0457
(g : SemanticCore.Var)
:
g ∈ {nb078AlphaDummy290 g} ∪ {nb078AlphaDummy291 g} ∪ (Compiler.CompactSourceSyntax.synWex (nb078AlphaDummy292 g)
(Compiler.CompactSourceSyntax.synWa
(Compiler.CompactSourceSyntax.synWbr (SemanticCore.Class.cv (nb078AlphaDummy290 g))
(Compiler.CompactSourceSyntax.synCcnv (SemanticCore.Class.cv g))
(SemanticCore.Class.cv (nb078AlphaDummy292 g)))
(Compiler.CompactSourceSyntax.synWbr (SemanticCore.Class.cv (nb078AlphaDummy292 g)) (SemanticCore.Class.cv g)
(SemanticCore.Class.cv (nb078AlphaDummy291 g))))).fv
theorem
NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb078_support_mem_0463 :
nb078AlphaDummy289 ∈ (Compiler.CompactSourceSyntax.synCcompl
(SemanticCore.Class.cab nb078AlphaDummy445
(Compiler.CompactSourceSyntax.synWrex nb078AlphaDummy446 (SemanticCore.Class.cv nb078AlphaDummy289)
(SemanticCore.Wff.classEq (SemanticCore.Class.cv nb078AlphaDummy445)
(Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv nb078AlphaDummy446)))))).fv ∪ (Compiler.CompactSourceSyntax.synCcompl
(SemanticCore.Class.cab nb078AlphaDummy445
(Compiler.CompactSourceSyntax.synWrex nb078AlphaDummy446 (SemanticCore.Class.cv nb078AlphaDummy288)
(SemanticCore.Wff.classEq (SemanticCore.Class.cv nb078AlphaDummy445)
(Compiler.CompactSourceSyntax.synCun
(Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv nb078AlphaDummy446))
(Compiler.CompactSourceSyntax.synCsn Compiler.CompactSourceSyntax.synC0c)))))).fv
theorem
NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb078_support_mem_0465
(g : SemanticCore.Var)
:
nb078AlphaDummy292 g ∈ (Compiler.CompactSourceSyntax.synCcompl
(SemanticCore.Class.cab (nb078AlphaDummy447 g)
(Compiler.CompactSourceSyntax.synWrex (nb078AlphaDummy448 g) (SemanticCore.Class.cv (nb078AlphaDummy292 g))
(SemanticCore.Wff.classEq (SemanticCore.Class.cv (nb078AlphaDummy447 g))
(Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv (nb078AlphaDummy448 g))))))).fv ∪ (Compiler.CompactSourceSyntax.synCcompl
(SemanticCore.Class.cab (nb078AlphaDummy447 g)
(Compiler.CompactSourceSyntax.synWrex (nb078AlphaDummy448 g) (SemanticCore.Class.cv (nb078AlphaDummy291 g))
(SemanticCore.Wff.classEq (SemanticCore.Class.cv (nb078AlphaDummy447 g))
(Compiler.CompactSourceSyntax.synCun
(Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv (nb078AlphaDummy448 g)))
(Compiler.CompactSourceSyntax.synCsn Compiler.CompactSourceSyntax.synC0c)))))).fv
theorem
NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb078_support_mem_0466 :
nb078AlphaDummy289 ∈ (SemanticCore.Class.cab nb078AlphaDummy445
(Compiler.CompactSourceSyntax.synWrex nb078AlphaDummy446 (SemanticCore.Class.cv nb078AlphaDummy289)
(SemanticCore.Wff.classEq (SemanticCore.Class.cv nb078AlphaDummy445)
(Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv nb078AlphaDummy446))))).fv ∪ (SemanticCore.Class.cab nb078AlphaDummy445
(Compiler.CompactSourceSyntax.synWrex nb078AlphaDummy446 (SemanticCore.Class.cv nb078AlphaDummy289)
(SemanticCore.Wff.classEq (SemanticCore.Class.cv nb078AlphaDummy445)
(Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv nb078AlphaDummy446))))).fv
theorem
NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb078_support_mem_0467
(g : SemanticCore.Var)
:
nb078AlphaDummy292 g ∈ (SemanticCore.Class.cab (nb078AlphaDummy447 g)
(Compiler.CompactSourceSyntax.synWrex (nb078AlphaDummy448 g) (SemanticCore.Class.cv (nb078AlphaDummy292 g))
(SemanticCore.Wff.classEq (SemanticCore.Class.cv (nb078AlphaDummy447 g))
(Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv (nb078AlphaDummy448 g)))))).fv ∪ (SemanticCore.Class.cab (nb078AlphaDummy447 g)
(Compiler.CompactSourceSyntax.synWrex (nb078AlphaDummy448 g) (SemanticCore.Class.cv (nb078AlphaDummy292 g))
(SemanticCore.Wff.classEq (SemanticCore.Class.cv (nb078AlphaDummy447 g))
(Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv (nb078AlphaDummy448 g)))))).fv
theorem
NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb078_support_mem_0470 :
nb078AlphaDummy453 ∈ (SemanticCore.Wff.classMem (SemanticCore.Class.cv nb078AlphaDummy453) Compiler.CompactSourceSyntax.synCnnc).fv ∪ (Compiler.CompactSourceSyntax.synCplc (SemanticCore.Class.cv nb078AlphaDummy453)
Compiler.CompactSourceSyntax.synC1c).fv ∪ (SemanticCore.Class.cv nb078AlphaDummy453).fv
theorem
NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb078_support_mem_0471
(g : SemanticCore.Var)
:
nb078AlphaDummy455 g ∈ (SemanticCore.Wff.classMem (SemanticCore.Class.cv (nb078AlphaDummy455 g)) Compiler.CompactSourceSyntax.synCnnc).fv ∪ (Compiler.CompactSourceSyntax.synCplc (SemanticCore.Class.cv (nb078AlphaDummy455 g))
Compiler.CompactSourceSyntax.synC1c).fv ∪ (SemanticCore.Class.cv (nb078AlphaDummy455 g)).fv
theorem
NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb078_support_mem_0491 :
nb078AlphaDummy288 ∈ (Compiler.CompactSourceSyntax.synCcompl
(SemanticCore.Class.cab nb078AlphaDummy445
(Compiler.CompactSourceSyntax.synWrex nb078AlphaDummy446 (SemanticCore.Class.cv nb078AlphaDummy289)
(SemanticCore.Wff.classEq (SemanticCore.Class.cv nb078AlphaDummy445)
(Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv nb078AlphaDummy446)))))).fv ∪ (Compiler.CompactSourceSyntax.synCcompl
(SemanticCore.Class.cab nb078AlphaDummy445
(Compiler.CompactSourceSyntax.synWrex nb078AlphaDummy446 (SemanticCore.Class.cv nb078AlphaDummy288)
(SemanticCore.Wff.classEq (SemanticCore.Class.cv nb078AlphaDummy445)
(Compiler.CompactSourceSyntax.synCun
(Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv nb078AlphaDummy446))
(Compiler.CompactSourceSyntax.synCsn Compiler.CompactSourceSyntax.synC0c)))))).fv
theorem
NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb078_support_mem_0493
(g : SemanticCore.Var)
:
nb078AlphaDummy291 g ∈ (Compiler.CompactSourceSyntax.synCcompl
(SemanticCore.Class.cab (nb078AlphaDummy447 g)
(Compiler.CompactSourceSyntax.synWrex (nb078AlphaDummy448 g) (SemanticCore.Class.cv (nb078AlphaDummy292 g))
(SemanticCore.Wff.classEq (SemanticCore.Class.cv (nb078AlphaDummy447 g))
(Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv (nb078AlphaDummy448 g))))))).fv ∪ (Compiler.CompactSourceSyntax.synCcompl
(SemanticCore.Class.cab (nb078AlphaDummy447 g)
(Compiler.CompactSourceSyntax.synWrex (nb078AlphaDummy448 g) (SemanticCore.Class.cv (nb078AlphaDummy291 g))
(SemanticCore.Wff.classEq (SemanticCore.Class.cv (nb078AlphaDummy447 g))
(Compiler.CompactSourceSyntax.synCun
(Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv (nb078AlphaDummy448 g)))
(Compiler.CompactSourceSyntax.synCsn Compiler.CompactSourceSyntax.synC0c)))))).fv
theorem
NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb078_support_mem_0494 :
nb078AlphaDummy288 ∈ (SemanticCore.Class.cab nb078AlphaDummy445
(Compiler.CompactSourceSyntax.synWrex nb078AlphaDummy446 (SemanticCore.Class.cv nb078AlphaDummy288)
(SemanticCore.Wff.classEq (SemanticCore.Class.cv nb078AlphaDummy445)
(Compiler.CompactSourceSyntax.synCun
(Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv nb078AlphaDummy446))
(Compiler.CompactSourceSyntax.synCsn Compiler.CompactSourceSyntax.synC0c))))).fv ∪ (SemanticCore.Class.cab nb078AlphaDummy445
(Compiler.CompactSourceSyntax.synWrex nb078AlphaDummy446 (SemanticCore.Class.cv nb078AlphaDummy288)
(SemanticCore.Wff.classEq (SemanticCore.Class.cv nb078AlphaDummy445)
(Compiler.CompactSourceSyntax.synCun
(Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv nb078AlphaDummy446))
(Compiler.CompactSourceSyntax.synCsn Compiler.CompactSourceSyntax.synC0c))))).fv
theorem
NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb078_support_mem_0495
(g : SemanticCore.Var)
:
nb078AlphaDummy291 g ∈ (SemanticCore.Class.cab (nb078AlphaDummy447 g)
(Compiler.CompactSourceSyntax.synWrex (nb078AlphaDummy448 g) (SemanticCore.Class.cv (nb078AlphaDummy291 g))
(SemanticCore.Wff.classEq (SemanticCore.Class.cv (nb078AlphaDummy447 g))
(Compiler.CompactSourceSyntax.synCun
(Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv (nb078AlphaDummy448 g)))
(Compiler.CompactSourceSyntax.synCsn Compiler.CompactSourceSyntax.synC0c))))).fv ∪ (SemanticCore.Class.cab (nb078AlphaDummy447 g)
(Compiler.CompactSourceSyntax.synWrex (nb078AlphaDummy448 g) (SemanticCore.Class.cv (nb078AlphaDummy291 g))
(SemanticCore.Wff.classEq (SemanticCore.Class.cv (nb078AlphaDummy447 g))
(Compiler.CompactSourceSyntax.synCun
(Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv (nb078AlphaDummy448 g)))
(Compiler.CompactSourceSyntax.synCsn Compiler.CompactSourceSyntax.synC0c))))).fv
theorem
NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb078_support_mem_0501 :
nb078AlphaDummy482 ∈ (Compiler.CompactSourceSyntax.synCcompl
(SemanticCore.Class.cab nb078AlphaDummy485
(Compiler.CompactSourceSyntax.synWrex nb078AlphaDummy486 (SemanticCore.Class.cv nb078AlphaDummy482)
(SemanticCore.Wff.classEq (SemanticCore.Class.cv nb078AlphaDummy485)
(Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv nb078AlphaDummy486)))))).fv ∪ (Compiler.CompactSourceSyntax.synCcompl
(SemanticCore.Class.cab nb078AlphaDummy485
(Compiler.CompactSourceSyntax.synWrex nb078AlphaDummy486 (SemanticCore.Class.cv nb078AlphaDummy481)
(SemanticCore.Wff.classEq (SemanticCore.Class.cv nb078AlphaDummy485)
(Compiler.CompactSourceSyntax.synCun
(Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv nb078AlphaDummy486))
(Compiler.CompactSourceSyntax.synCsn Compiler.CompactSourceSyntax.synC0c)))))).fv
theorem
NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb078_support_mem_0503
(g : SemanticCore.Var)
:
nb078AlphaDummy484 g ∈ (Compiler.CompactSourceSyntax.synCcompl
(SemanticCore.Class.cab (nb078AlphaDummy487 g)
(Compiler.CompactSourceSyntax.synWrex (nb078AlphaDummy488 g) (SemanticCore.Class.cv (nb078AlphaDummy484 g))
(SemanticCore.Wff.classEq (SemanticCore.Class.cv (nb078AlphaDummy487 g))
(Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv (nb078AlphaDummy488 g))))))).fv ∪ (Compiler.CompactSourceSyntax.synCcompl
(SemanticCore.Class.cab (nb078AlphaDummy487 g)
(Compiler.CompactSourceSyntax.synWrex (nb078AlphaDummy488 g) (SemanticCore.Class.cv (nb078AlphaDummy483 g))
(SemanticCore.Wff.classEq (SemanticCore.Class.cv (nb078AlphaDummy487 g))
(Compiler.CompactSourceSyntax.synCun
(Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv (nb078AlphaDummy488 g)))
(Compiler.CompactSourceSyntax.synCsn Compiler.CompactSourceSyntax.synC0c)))))).fv
theorem
NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb078_support_mem_0504 :
nb078AlphaDummy482 ∈ (SemanticCore.Class.cab nb078AlphaDummy485
(Compiler.CompactSourceSyntax.synWrex nb078AlphaDummy486 (SemanticCore.Class.cv nb078AlphaDummy482)
(SemanticCore.Wff.classEq (SemanticCore.Class.cv nb078AlphaDummy485)
(Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv nb078AlphaDummy486))))).fv ∪ (SemanticCore.Class.cab nb078AlphaDummy485
(Compiler.CompactSourceSyntax.synWrex nb078AlphaDummy486 (SemanticCore.Class.cv nb078AlphaDummy482)
(SemanticCore.Wff.classEq (SemanticCore.Class.cv nb078AlphaDummy485)
(Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv nb078AlphaDummy486))))).fv
theorem
NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb078_support_mem_0505
(g : SemanticCore.Var)
:
nb078AlphaDummy484 g ∈ (SemanticCore.Class.cab (nb078AlphaDummy487 g)
(Compiler.CompactSourceSyntax.synWrex (nb078AlphaDummy488 g) (SemanticCore.Class.cv (nb078AlphaDummy484 g))
(SemanticCore.Wff.classEq (SemanticCore.Class.cv (nb078AlphaDummy487 g))
(Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv (nb078AlphaDummy488 g)))))).fv ∪ (SemanticCore.Class.cab (nb078AlphaDummy487 g)
(Compiler.CompactSourceSyntax.synWrex (nb078AlphaDummy488 g) (SemanticCore.Class.cv (nb078AlphaDummy484 g))
(SemanticCore.Wff.classEq (SemanticCore.Class.cv (nb078AlphaDummy487 g))
(Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv (nb078AlphaDummy488 g)))))).fv
theorem
NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb078_support_mem_0508 :
nb078AlphaDummy493 ∈ (SemanticCore.Wff.classMem (SemanticCore.Class.cv nb078AlphaDummy493) Compiler.CompactSourceSyntax.synCnnc).fv ∪ (Compiler.CompactSourceSyntax.synCplc (SemanticCore.Class.cv nb078AlphaDummy493)
Compiler.CompactSourceSyntax.synC1c).fv ∪ (SemanticCore.Class.cv nb078AlphaDummy493).fv
theorem
NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb078_support_mem_0509
(g : SemanticCore.Var)
:
nb078AlphaDummy495 g ∈ (SemanticCore.Wff.classMem (SemanticCore.Class.cv (nb078AlphaDummy495 g)) Compiler.CompactSourceSyntax.synCnnc).fv ∪ (Compiler.CompactSourceSyntax.synCplc (SemanticCore.Class.cv (nb078AlphaDummy495 g))
Compiler.CompactSourceSyntax.synC1c).fv ∪ (SemanticCore.Class.cv (nb078AlphaDummy495 g)).fv
theorem
NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb078_support_mem_0529 :
nb078AlphaDummy481 ∈ (Compiler.CompactSourceSyntax.synCcompl
(SemanticCore.Class.cab nb078AlphaDummy485
(Compiler.CompactSourceSyntax.synWrex nb078AlphaDummy486 (SemanticCore.Class.cv nb078AlphaDummy482)
(SemanticCore.Wff.classEq (SemanticCore.Class.cv nb078AlphaDummy485)
(Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv nb078AlphaDummy486)))))).fv ∪ (Compiler.CompactSourceSyntax.synCcompl
(SemanticCore.Class.cab nb078AlphaDummy485
(Compiler.CompactSourceSyntax.synWrex nb078AlphaDummy486 (SemanticCore.Class.cv nb078AlphaDummy481)
(SemanticCore.Wff.classEq (SemanticCore.Class.cv nb078AlphaDummy485)
(Compiler.CompactSourceSyntax.synCun
(Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv nb078AlphaDummy486))
(Compiler.CompactSourceSyntax.synCsn Compiler.CompactSourceSyntax.synC0c)))))).fv
theorem
NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb078_support_mem_0531
(g : SemanticCore.Var)
:
nb078AlphaDummy483 g ∈ (Compiler.CompactSourceSyntax.synCcompl
(SemanticCore.Class.cab (nb078AlphaDummy487 g)
(Compiler.CompactSourceSyntax.synWrex (nb078AlphaDummy488 g) (SemanticCore.Class.cv (nb078AlphaDummy484 g))
(SemanticCore.Wff.classEq (SemanticCore.Class.cv (nb078AlphaDummy487 g))
(Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv (nb078AlphaDummy488 g))))))).fv ∪ (Compiler.CompactSourceSyntax.synCcompl
(SemanticCore.Class.cab (nb078AlphaDummy487 g)
(Compiler.CompactSourceSyntax.synWrex (nb078AlphaDummy488 g) (SemanticCore.Class.cv (nb078AlphaDummy483 g))
(SemanticCore.Wff.classEq (SemanticCore.Class.cv (nb078AlphaDummy487 g))
(Compiler.CompactSourceSyntax.synCun
(Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv (nb078AlphaDummy488 g)))
(Compiler.CompactSourceSyntax.synCsn Compiler.CompactSourceSyntax.synC0c)))))).fv
theorem
NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb078_support_mem_0532 :
nb078AlphaDummy481 ∈ (SemanticCore.Class.cab nb078AlphaDummy485
(Compiler.CompactSourceSyntax.synWrex nb078AlphaDummy486 (SemanticCore.Class.cv nb078AlphaDummy481)
(SemanticCore.Wff.classEq (SemanticCore.Class.cv nb078AlphaDummy485)
(Compiler.CompactSourceSyntax.synCun
(Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv nb078AlphaDummy486))
(Compiler.CompactSourceSyntax.synCsn Compiler.CompactSourceSyntax.synC0c))))).fv ∪ (SemanticCore.Class.cab nb078AlphaDummy485
(Compiler.CompactSourceSyntax.synWrex nb078AlphaDummy486 (SemanticCore.Class.cv nb078AlphaDummy481)
(SemanticCore.Wff.classEq (SemanticCore.Class.cv nb078AlphaDummy485)
(Compiler.CompactSourceSyntax.synCun
(Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv nb078AlphaDummy486))
(Compiler.CompactSourceSyntax.synCsn Compiler.CompactSourceSyntax.synC0c))))).fv
theorem
NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb078_support_mem_0533
(g : SemanticCore.Var)
:
nb078AlphaDummy483 g ∈ (SemanticCore.Class.cab (nb078AlphaDummy487 g)
(Compiler.CompactSourceSyntax.synWrex (nb078AlphaDummy488 g) (SemanticCore.Class.cv (nb078AlphaDummy483 g))
(SemanticCore.Wff.classEq (SemanticCore.Class.cv (nb078AlphaDummy487 g))
(Compiler.CompactSourceSyntax.synCun
(Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv (nb078AlphaDummy488 g)))
(Compiler.CompactSourceSyntax.synCsn Compiler.CompactSourceSyntax.synC0c))))).fv ∪ (SemanticCore.Class.cab (nb078AlphaDummy487 g)
(Compiler.CompactSourceSyntax.synWrex (nb078AlphaDummy488 g) (SemanticCore.Class.cv (nb078AlphaDummy483 g))
(SemanticCore.Wff.classEq (SemanticCore.Class.cv (nb078AlphaDummy487 g))
(Compiler.CompactSourceSyntax.synCun
(Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv (nb078AlphaDummy488 g)))
(Compiler.CompactSourceSyntax.synCsn Compiler.CompactSourceSyntax.synC0c))))).fv
theorem
NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb078_support_mem_0541 :
nb078AlphaDummy526 ∈ (Compiler.CompactSourceSyntax.synCcompl
(SemanticCore.Class.cab nb078AlphaDummy529
(Compiler.CompactSourceSyntax.synWrex nb078AlphaDummy530 (SemanticCore.Class.cv nb078AlphaDummy526)
(SemanticCore.Wff.classEq (SemanticCore.Class.cv nb078AlphaDummy529)
(Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv nb078AlphaDummy530)))))).fv ∪ (Compiler.CompactSourceSyntax.synCcompl
(SemanticCore.Class.cab nb078AlphaDummy529
(Compiler.CompactSourceSyntax.synWrex nb078AlphaDummy530 (SemanticCore.Class.cv nb078AlphaDummy525)
(SemanticCore.Wff.classEq (SemanticCore.Class.cv nb078AlphaDummy529)
(Compiler.CompactSourceSyntax.synCun
(Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv nb078AlphaDummy530))
(Compiler.CompactSourceSyntax.synCsn Compiler.CompactSourceSyntax.synC0c)))))).fv
theorem
NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb078_support_mem_0543
(g : SemanticCore.Var)
:
nb078AlphaDummy528 g ∈ (Compiler.CompactSourceSyntax.synCcompl
(SemanticCore.Class.cab (nb078AlphaDummy531 g)
(Compiler.CompactSourceSyntax.synWrex (nb078AlphaDummy532 g) (SemanticCore.Class.cv (nb078AlphaDummy528 g))
(SemanticCore.Wff.classEq (SemanticCore.Class.cv (nb078AlphaDummy531 g))
(Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv (nb078AlphaDummy532 g))))))).fv ∪ (Compiler.CompactSourceSyntax.synCcompl
(SemanticCore.Class.cab (nb078AlphaDummy531 g)
(Compiler.CompactSourceSyntax.synWrex (nb078AlphaDummy532 g) (SemanticCore.Class.cv (nb078AlphaDummy527 g))
(SemanticCore.Wff.classEq (SemanticCore.Class.cv (nb078AlphaDummy531 g))
(Compiler.CompactSourceSyntax.synCun
(Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv (nb078AlphaDummy532 g)))
(Compiler.CompactSourceSyntax.synCsn Compiler.CompactSourceSyntax.synC0c)))))).fv
theorem
NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb078_support_mem_0544 :
nb078AlphaDummy526 ∈ (SemanticCore.Class.cab nb078AlphaDummy529
(Compiler.CompactSourceSyntax.synWrex nb078AlphaDummy530 (SemanticCore.Class.cv nb078AlphaDummy526)
(SemanticCore.Wff.classEq (SemanticCore.Class.cv nb078AlphaDummy529)
(Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv nb078AlphaDummy530))))).fv ∪ (SemanticCore.Class.cab nb078AlphaDummy529
(Compiler.CompactSourceSyntax.synWrex nb078AlphaDummy530 (SemanticCore.Class.cv nb078AlphaDummy526)
(SemanticCore.Wff.classEq (SemanticCore.Class.cv nb078AlphaDummy529)
(Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv nb078AlphaDummy530))))).fv
theorem
NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb078_support_mem_0545
(g : SemanticCore.Var)
:
nb078AlphaDummy528 g ∈ (SemanticCore.Class.cab (nb078AlphaDummy531 g)
(Compiler.CompactSourceSyntax.synWrex (nb078AlphaDummy532 g) (SemanticCore.Class.cv (nb078AlphaDummy528 g))
(SemanticCore.Wff.classEq (SemanticCore.Class.cv (nb078AlphaDummy531 g))
(Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv (nb078AlphaDummy532 g)))))).fv ∪ (SemanticCore.Class.cab (nb078AlphaDummy531 g)
(Compiler.CompactSourceSyntax.synWrex (nb078AlphaDummy532 g) (SemanticCore.Class.cv (nb078AlphaDummy528 g))
(SemanticCore.Wff.classEq (SemanticCore.Class.cv (nb078AlphaDummy531 g))
(Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv (nb078AlphaDummy532 g)))))).fv
theorem
NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb078_support_mem_0548 :
nb078AlphaDummy537 ∈ (SemanticCore.Wff.classMem (SemanticCore.Class.cv nb078AlphaDummy537) Compiler.CompactSourceSyntax.synCnnc).fv ∪ (Compiler.CompactSourceSyntax.synCplc (SemanticCore.Class.cv nb078AlphaDummy537)
Compiler.CompactSourceSyntax.synC1c).fv ∪ (SemanticCore.Class.cv nb078AlphaDummy537).fv
theorem
NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb078_support_mem_0549
(g : SemanticCore.Var)
:
nb078AlphaDummy539 g ∈ (SemanticCore.Wff.classMem (SemanticCore.Class.cv (nb078AlphaDummy539 g)) Compiler.CompactSourceSyntax.synCnnc).fv ∪ (Compiler.CompactSourceSyntax.synCplc (SemanticCore.Class.cv (nb078AlphaDummy539 g))
Compiler.CompactSourceSyntax.synC1c).fv ∪ (SemanticCore.Class.cv (nb078AlphaDummy539 g)).fv
theorem
NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb078_support_mem_0569 :
nb078AlphaDummy525 ∈ (Compiler.CompactSourceSyntax.synCcompl
(SemanticCore.Class.cab nb078AlphaDummy529
(Compiler.CompactSourceSyntax.synWrex nb078AlphaDummy530 (SemanticCore.Class.cv nb078AlphaDummy526)
(SemanticCore.Wff.classEq (SemanticCore.Class.cv nb078AlphaDummy529)
(Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv nb078AlphaDummy530)))))).fv ∪ (Compiler.CompactSourceSyntax.synCcompl
(SemanticCore.Class.cab nb078AlphaDummy529
(Compiler.CompactSourceSyntax.synWrex nb078AlphaDummy530 (SemanticCore.Class.cv nb078AlphaDummy525)
(SemanticCore.Wff.classEq (SemanticCore.Class.cv nb078AlphaDummy529)
(Compiler.CompactSourceSyntax.synCun
(Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv nb078AlphaDummy530))
(Compiler.CompactSourceSyntax.synCsn Compiler.CompactSourceSyntax.synC0c)))))).fv
theorem
NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb078_support_mem_0571
(g : SemanticCore.Var)
:
nb078AlphaDummy527 g ∈ (Compiler.CompactSourceSyntax.synCcompl
(SemanticCore.Class.cab (nb078AlphaDummy531 g)
(Compiler.CompactSourceSyntax.synWrex (nb078AlphaDummy532 g) (SemanticCore.Class.cv (nb078AlphaDummy528 g))
(SemanticCore.Wff.classEq (SemanticCore.Class.cv (nb078AlphaDummy531 g))
(Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv (nb078AlphaDummy532 g))))))).fv ∪ (Compiler.CompactSourceSyntax.synCcompl
(SemanticCore.Class.cab (nb078AlphaDummy531 g)
(Compiler.CompactSourceSyntax.synWrex (nb078AlphaDummy532 g) (SemanticCore.Class.cv (nb078AlphaDummy527 g))
(SemanticCore.Wff.classEq (SemanticCore.Class.cv (nb078AlphaDummy531 g))
(Compiler.CompactSourceSyntax.synCun
(Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv (nb078AlphaDummy532 g)))
(Compiler.CompactSourceSyntax.synCsn Compiler.CompactSourceSyntax.synC0c)))))).fv
theorem
NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb078_support_mem_0572 :
nb078AlphaDummy525 ∈ (SemanticCore.Class.cab nb078AlphaDummy529
(Compiler.CompactSourceSyntax.synWrex nb078AlphaDummy530 (SemanticCore.Class.cv nb078AlphaDummy525)
(SemanticCore.Wff.classEq (SemanticCore.Class.cv nb078AlphaDummy529)
(Compiler.CompactSourceSyntax.synCun
(Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv nb078AlphaDummy530))
(Compiler.CompactSourceSyntax.synCsn Compiler.CompactSourceSyntax.synC0c))))).fv ∪ (SemanticCore.Class.cab nb078AlphaDummy529
(Compiler.CompactSourceSyntax.synWrex nb078AlphaDummy530 (SemanticCore.Class.cv nb078AlphaDummy525)
(SemanticCore.Wff.classEq (SemanticCore.Class.cv nb078AlphaDummy529)
(Compiler.CompactSourceSyntax.synCun
(Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv nb078AlphaDummy530))
(Compiler.CompactSourceSyntax.synCsn Compiler.CompactSourceSyntax.synC0c))))).fv
theorem
NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb078_support_mem_0573
(g : SemanticCore.Var)
:
nb078AlphaDummy527 g ∈ (SemanticCore.Class.cab (nb078AlphaDummy531 g)
(Compiler.CompactSourceSyntax.synWrex (nb078AlphaDummy532 g) (SemanticCore.Class.cv (nb078AlphaDummy527 g))
(SemanticCore.Wff.classEq (SemanticCore.Class.cv (nb078AlphaDummy531 g))
(Compiler.CompactSourceSyntax.synCun
(Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv (nb078AlphaDummy532 g)))
(Compiler.CompactSourceSyntax.synCsn Compiler.CompactSourceSyntax.synC0c))))).fv ∪ (SemanticCore.Class.cab (nb078AlphaDummy531 g)
(Compiler.CompactSourceSyntax.synWrex (nb078AlphaDummy532 g) (SemanticCore.Class.cv (nb078AlphaDummy527 g))
(SemanticCore.Wff.classEq (SemanticCore.Class.cv (nb078AlphaDummy531 g))
(Compiler.CompactSourceSyntax.synCun
(Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv (nb078AlphaDummy532 g)))
(Compiler.CompactSourceSyntax.synCsn Compiler.CompactSourceSyntax.synC0c))))).fv
theorem
NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb078_support_mem_0578 :
nb078AlphaDummy001 ∈ (Compiler.CompactSourceSyntax.synCnin (Compiler.CompactSourceSyntax.synCrn (SemanticCore.Class.cv nb078AlphaDummy001))
(SemanticCore.Class.cv nb078AlphaDummy003)).fv ∪ (Compiler.CompactSourceSyntax.synCnin
(Compiler.CompactSourceSyntax.synCrn (SemanticCore.Class.cv nb078AlphaDummy001))
(SemanticCore.Class.cv nb078AlphaDummy003)).fv
theorem
NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb078_support_mem_0584 :
nb078AlphaDummy003 ∈ (Compiler.CompactSourceSyntax.synCnin (Compiler.CompactSourceSyntax.synCrn (SemanticCore.Class.cv nb078AlphaDummy001))
(SemanticCore.Class.cv nb078AlphaDummy003)).fv ∪ (Compiler.CompactSourceSyntax.synCnin
(Compiler.CompactSourceSyntax.synCrn (SemanticCore.Class.cv nb078AlphaDummy001))
(SemanticCore.Class.cv nb078AlphaDummy003)).fv
theorem
NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb078_support_mem_0588 :
nb078AlphaDummy569 ∈ {nb078AlphaDummy569} ∪ {nb078AlphaDummy570} ∪ (Compiler.CompactSourceSyntax.synWex nb078AlphaDummy571
(Compiler.CompactSourceSyntax.synWa
(Compiler.CompactSourceSyntax.synWbr (SemanticCore.Class.cv nb078AlphaDummy569)
(Compiler.CompactSourceSyntax.synCcnv
(Compiler.CompactSourceSyntax.synCcnv (SemanticCore.Class.cv nb078AlphaDummy001)))
(SemanticCore.Class.cv nb078AlphaDummy571))
(Compiler.CompactSourceSyntax.synWbr (SemanticCore.Class.cv nb078AlphaDummy571)
(Compiler.CompactSourceSyntax.synCcnv (SemanticCore.Class.cv nb078AlphaDummy001))
(SemanticCore.Class.cv nb078AlphaDummy570)))).fv
theorem
NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb078_support_mem_0589
(g : SemanticCore.Var)
:
nb078AlphaDummy572 g ∈ {nb078AlphaDummy572 g} ∪ {nb078AlphaDummy573 g} ∪ (Compiler.CompactSourceSyntax.synWex (nb078AlphaDummy574 g)
(Compiler.CompactSourceSyntax.synWa
(Compiler.CompactSourceSyntax.synWbr (SemanticCore.Class.cv (nb078AlphaDummy572 g))
(Compiler.CompactSourceSyntax.synCcnv (Compiler.CompactSourceSyntax.synCcnv (SemanticCore.Class.cv g)))
(SemanticCore.Class.cv (nb078AlphaDummy574 g)))
(Compiler.CompactSourceSyntax.synWbr (SemanticCore.Class.cv (nb078AlphaDummy574 g))
(Compiler.CompactSourceSyntax.synCcnv (SemanticCore.Class.cv g))
(SemanticCore.Class.cv (nb078AlphaDummy573 g))))).fv
theorem
NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb078_support_mem_0590 :
nb078AlphaDummy570 ∈ {nb078AlphaDummy569} ∪ {nb078AlphaDummy570} ∪ (Compiler.CompactSourceSyntax.synWex nb078AlphaDummy571
(Compiler.CompactSourceSyntax.synWa
(Compiler.CompactSourceSyntax.synWbr (SemanticCore.Class.cv nb078AlphaDummy569)
(Compiler.CompactSourceSyntax.synCcnv
(Compiler.CompactSourceSyntax.synCcnv (SemanticCore.Class.cv nb078AlphaDummy001)))
(SemanticCore.Class.cv nb078AlphaDummy571))
(Compiler.CompactSourceSyntax.synWbr (SemanticCore.Class.cv nb078AlphaDummy571)
(Compiler.CompactSourceSyntax.synCcnv (SemanticCore.Class.cv nb078AlphaDummy001))
(SemanticCore.Class.cv nb078AlphaDummy570)))).fv
theorem
NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb078_support_mem_0591
(g : SemanticCore.Var)
:
nb078AlphaDummy573 g ∈ {nb078AlphaDummy572 g} ∪ {nb078AlphaDummy573 g} ∪ (Compiler.CompactSourceSyntax.synWex (nb078AlphaDummy574 g)
(Compiler.CompactSourceSyntax.synWa
(Compiler.CompactSourceSyntax.synWbr (SemanticCore.Class.cv (nb078AlphaDummy572 g))
(Compiler.CompactSourceSyntax.synCcnv (Compiler.CompactSourceSyntax.synCcnv (SemanticCore.Class.cv g)))
(SemanticCore.Class.cv (nb078AlphaDummy574 g)))
(Compiler.CompactSourceSyntax.synWbr (SemanticCore.Class.cv (nb078AlphaDummy574 g))
(Compiler.CompactSourceSyntax.synCcnv (SemanticCore.Class.cv g))
(SemanticCore.Class.cv (nb078AlphaDummy573 g))))).fv
theorem
NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb078_support_mem_0593 :
nb078AlphaDummy569 ∈ (Compiler.CompactSourceSyntax.synCcompl
(SemanticCore.Class.cab nb078AlphaDummy577
(Compiler.CompactSourceSyntax.synWrex nb078AlphaDummy578 (SemanticCore.Class.cv nb078AlphaDummy569)
(SemanticCore.Wff.classEq (SemanticCore.Class.cv nb078AlphaDummy577)
(Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv nb078AlphaDummy578)))))).fv ∪ (Compiler.CompactSourceSyntax.synCcompl
(SemanticCore.Class.cab nb078AlphaDummy577
(Compiler.CompactSourceSyntax.synWrex nb078AlphaDummy578 (SemanticCore.Class.cv nb078AlphaDummy570)
(SemanticCore.Wff.classEq (SemanticCore.Class.cv nb078AlphaDummy577)
(Compiler.CompactSourceSyntax.synCun
(Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv nb078AlphaDummy578))
(Compiler.CompactSourceSyntax.synCsn Compiler.CompactSourceSyntax.synC0c)))))).fv
theorem
NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb078_support_mem_0595
(g : SemanticCore.Var)
:
nb078AlphaDummy572 g ∈ (Compiler.CompactSourceSyntax.synCcompl
(SemanticCore.Class.cab (nb078AlphaDummy579 g)
(Compiler.CompactSourceSyntax.synWrex (nb078AlphaDummy580 g) (SemanticCore.Class.cv (nb078AlphaDummy572 g))
(SemanticCore.Wff.classEq (SemanticCore.Class.cv (nb078AlphaDummy579 g))
(Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv (nb078AlphaDummy580 g))))))).fv ∪ (Compiler.CompactSourceSyntax.synCcompl
(SemanticCore.Class.cab (nb078AlphaDummy579 g)
(Compiler.CompactSourceSyntax.synWrex (nb078AlphaDummy580 g) (SemanticCore.Class.cv (nb078AlphaDummy573 g))
(SemanticCore.Wff.classEq (SemanticCore.Class.cv (nb078AlphaDummy579 g))
(Compiler.CompactSourceSyntax.synCun
(Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv (nb078AlphaDummy580 g)))
(Compiler.CompactSourceSyntax.synCsn Compiler.CompactSourceSyntax.synC0c)))))).fv