NF weak partition development: NAR4H5C095M3Part007.
theorem
NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb095_support_mem_0384
(D R S_cls E : SemanticCore.Class)
:
nb095AlphaDummy339 D R S_cls E ∈ (SemanticCore.Class.cab (nb095AlphaDummy345 D R S_cls E)
(Compiler.CompactSourceSyntax.synWrex (nb095AlphaDummy346 D R S_cls E)
(SemanticCore.Class.cv (nb095AlphaDummy339 D R S_cls E))
(SemanticCore.Wff.classEq (SemanticCore.Class.cv (nb095AlphaDummy345 D R S_cls E))
(Compiler.CompactSourceSyntax.synCun
(Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv (nb095AlphaDummy346 D R S_cls E)))
(Compiler.CompactSourceSyntax.synCsn Compiler.CompactSourceSyntax.synC0c))))).fv ∪ (SemanticCore.Class.cab (nb095AlphaDummy345 D R S_cls E)
(Compiler.CompactSourceSyntax.synWrex (nb095AlphaDummy346 D R S_cls E)
(SemanticCore.Class.cv (nb095AlphaDummy339 D R S_cls E))
(SemanticCore.Wff.classEq (SemanticCore.Class.cv (nb095AlphaDummy345 D R S_cls E))
(Compiler.CompactSourceSyntax.synCun
(Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv (nb095AlphaDummy346 D R S_cls E)))
(Compiler.CompactSourceSyntax.synCsn Compiler.CompactSourceSyntax.synC0c))))).fv
theorem
NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb095_support_mem_0385
(u : SemanticCore.Var)
(S_cls : SemanticCore.Class)
:
nb095AlphaDummy341 u S_cls ∈ (SemanticCore.Class.cab (nb095AlphaDummy347 u S_cls)
(Compiler.CompactSourceSyntax.synWrex (nb095AlphaDummy348 u S_cls)
(SemanticCore.Class.cv (nb095AlphaDummy341 u S_cls))
(SemanticCore.Wff.classEq (SemanticCore.Class.cv (nb095AlphaDummy347 u S_cls))
(Compiler.CompactSourceSyntax.synCun
(Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv (nb095AlphaDummy348 u S_cls)))
(Compiler.CompactSourceSyntax.synCsn Compiler.CompactSourceSyntax.synC0c))))).fv ∪ (SemanticCore.Class.cab (nb095AlphaDummy347 u S_cls)
(Compiler.CompactSourceSyntax.synWrex (nb095AlphaDummy348 u S_cls)
(SemanticCore.Class.cv (nb095AlphaDummy341 u S_cls))
(SemanticCore.Wff.classEq (SemanticCore.Class.cv (nb095AlphaDummy347 u S_cls))
(Compiler.CompactSourceSyntax.synCun
(Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv (nb095AlphaDummy348 u S_cls)))
(Compiler.CompactSourceSyntax.synCsn Compiler.CompactSourceSyntax.synC0c))))).fv
theorem
NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb095_support_mem_0386
(D R S_cls E : SemanticCore.Class)
:
theorem
NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb095_support_mem_0387
(u : SemanticCore.Var)
(S_cls : SemanticCore.Class)
:
theorem
NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb095_support_mem_0388
(D R S_cls E : SemanticCore.Class)
:
nb095AlphaDummy346 D R S_cls E ∈ (Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv (nb095AlphaDummy346 D R S_cls E))).fv ∪ (Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv (nb095AlphaDummy346 D R S_cls E))).fv
theorem
NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb095_support_mem_0389
(u : SemanticCore.Var)
(S_cls : SemanticCore.Class)
:
nb095AlphaDummy348 u S_cls ∈ (Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv (nb095AlphaDummy348 u S_cls))).fv ∪ (Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv (nb095AlphaDummy348 u S_cls))).fv
theorem
NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb095_support_mem_0390
(D R S_cls E : SemanticCore.Class)
:
nb095AlphaDummy385 D R S_cls E ∈ {nb095AlphaDummy385 D R S_cls E} ∪ {nb095AlphaDummy386 D R S_cls E} ∪ (Compiler.CompactSourceSyntax.synWex (nb095AlphaDummy387 D R S_cls E)
(Compiler.CompactSourceSyntax.synWa
(Compiler.CompactSourceSyntax.synWbr (SemanticCore.Class.cv (nb095AlphaDummy385 D R S_cls E))
(Compiler.CompactSourceSyntax.synCcnv
(Compiler.CompactSourceSyntax.synCcnv (SemanticCore.Class.cv (nb095AlphaDummy000 D R S_cls E))))
(SemanticCore.Class.cv (nb095AlphaDummy387 D R S_cls E)))
(Compiler.CompactSourceSyntax.synWbr (SemanticCore.Class.cv (nb095AlphaDummy387 D R S_cls E))
(Compiler.CompactSourceSyntax.synCcnv (SemanticCore.Class.cv (nb095AlphaDummy000 D R S_cls E)))
(SemanticCore.Class.cv (nb095AlphaDummy386 D R S_cls E))))).fv
theorem
NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb095_support_mem_0391
(f : SemanticCore.Var)
:
nb095AlphaDummy388 f ∈ {nb095AlphaDummy388 f} ∪ {nb095AlphaDummy389 f} ∪ (Compiler.CompactSourceSyntax.synWex (nb095AlphaDummy390 f)
(Compiler.CompactSourceSyntax.synWa
(Compiler.CompactSourceSyntax.synWbr (SemanticCore.Class.cv (nb095AlphaDummy388 f))
(Compiler.CompactSourceSyntax.synCcnv (Compiler.CompactSourceSyntax.synCcnv (SemanticCore.Class.cv f)))
(SemanticCore.Class.cv (nb095AlphaDummy390 f)))
(Compiler.CompactSourceSyntax.synWbr (SemanticCore.Class.cv (nb095AlphaDummy390 f))
(Compiler.CompactSourceSyntax.synCcnv (SemanticCore.Class.cv f))
(SemanticCore.Class.cv (nb095AlphaDummy389 f))))).fv
theorem
NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb095_support_mem_0392
(D R S_cls E : SemanticCore.Class)
:
nb095AlphaDummy386 D R S_cls E ∈ {nb095AlphaDummy385 D R S_cls E} ∪ {nb095AlphaDummy386 D R S_cls E} ∪ (Compiler.CompactSourceSyntax.synWex (nb095AlphaDummy387 D R S_cls E)
(Compiler.CompactSourceSyntax.synWa
(Compiler.CompactSourceSyntax.synWbr (SemanticCore.Class.cv (nb095AlphaDummy385 D R S_cls E))
(Compiler.CompactSourceSyntax.synCcnv
(Compiler.CompactSourceSyntax.synCcnv (SemanticCore.Class.cv (nb095AlphaDummy000 D R S_cls E))))
(SemanticCore.Class.cv (nb095AlphaDummy387 D R S_cls E)))
(Compiler.CompactSourceSyntax.synWbr (SemanticCore.Class.cv (nb095AlphaDummy387 D R S_cls E))
(Compiler.CompactSourceSyntax.synCcnv (SemanticCore.Class.cv (nb095AlphaDummy000 D R S_cls E)))
(SemanticCore.Class.cv (nb095AlphaDummy386 D R S_cls E))))).fv
theorem
NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb095_support_mem_0393
(f : SemanticCore.Var)
:
nb095AlphaDummy389 f ∈ {nb095AlphaDummy388 f} ∪ {nb095AlphaDummy389 f} ∪ (Compiler.CompactSourceSyntax.synWex (nb095AlphaDummy390 f)
(Compiler.CompactSourceSyntax.synWa
(Compiler.CompactSourceSyntax.synWbr (SemanticCore.Class.cv (nb095AlphaDummy388 f))
(Compiler.CompactSourceSyntax.synCcnv (Compiler.CompactSourceSyntax.synCcnv (SemanticCore.Class.cv f)))
(SemanticCore.Class.cv (nb095AlphaDummy390 f)))
(Compiler.CompactSourceSyntax.synWbr (SemanticCore.Class.cv (nb095AlphaDummy390 f))
(Compiler.CompactSourceSyntax.synCcnv (SemanticCore.Class.cv f))
(SemanticCore.Class.cv (nb095AlphaDummy389 f))))).fv
theorem
NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb095_support_mem_0394
(D R S_cls E : SemanticCore.Class)
:
nb095AlphaDummy385 D R S_cls E ∈ (SemanticCore.Class.cv (nb095AlphaDummy385 D R S_cls E)).fv ∪ (SemanticCore.Class.cv (nb095AlphaDummy386 D R S_cls E)).fv
theorem
NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb095_support_mem_0395
(D R S_cls E : SemanticCore.Class)
:
nb095AlphaDummy385 D R S_cls E ∈ (Compiler.CompactSourceSyntax.synCcompl
(SemanticCore.Class.cab (nb095AlphaDummy393 D R S_cls E)
(Compiler.CompactSourceSyntax.synWrex (nb095AlphaDummy394 D R S_cls E)
(SemanticCore.Class.cv (nb095AlphaDummy385 D R S_cls E))
(SemanticCore.Wff.classEq (SemanticCore.Class.cv (nb095AlphaDummy393 D R S_cls E))
(Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv (nb095AlphaDummy394 D R S_cls E))))))).fv ∪ (Compiler.CompactSourceSyntax.synCcompl
(SemanticCore.Class.cab (nb095AlphaDummy393 D R S_cls E)
(Compiler.CompactSourceSyntax.synWrex (nb095AlphaDummy394 D R S_cls E)
(SemanticCore.Class.cv (nb095AlphaDummy386 D R S_cls E))
(SemanticCore.Wff.classEq (SemanticCore.Class.cv (nb095AlphaDummy393 D R S_cls E))
(Compiler.CompactSourceSyntax.synCun
(Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv (nb095AlphaDummy394 D R S_cls E)))
(Compiler.CompactSourceSyntax.synCsn Compiler.CompactSourceSyntax.synC0c)))))).fv
theorem
NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb095_support_mem_0397
(f : SemanticCore.Var)
:
nb095AlphaDummy388 f ∈ (Compiler.CompactSourceSyntax.synCcompl
(SemanticCore.Class.cab (nb095AlphaDummy395 f)
(Compiler.CompactSourceSyntax.synWrex (nb095AlphaDummy396 f) (SemanticCore.Class.cv (nb095AlphaDummy388 f))
(SemanticCore.Wff.classEq (SemanticCore.Class.cv (nb095AlphaDummy395 f))
(Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv (nb095AlphaDummy396 f))))))).fv ∪ (Compiler.CompactSourceSyntax.synCcompl
(SemanticCore.Class.cab (nb095AlphaDummy395 f)
(Compiler.CompactSourceSyntax.synWrex (nb095AlphaDummy396 f) (SemanticCore.Class.cv (nb095AlphaDummy389 f))
(SemanticCore.Wff.classEq (SemanticCore.Class.cv (nb095AlphaDummy395 f))
(Compiler.CompactSourceSyntax.synCun
(Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv (nb095AlphaDummy396 f)))
(Compiler.CompactSourceSyntax.synCsn Compiler.CompactSourceSyntax.synC0c)))))).fv
theorem
NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb095_support_mem_0398
(D R S_cls E : SemanticCore.Class)
:
nb095AlphaDummy385 D R S_cls E ∈ (SemanticCore.Class.cab (nb095AlphaDummy393 D R S_cls E)
(Compiler.CompactSourceSyntax.synWrex (nb095AlphaDummy394 D R S_cls E)
(SemanticCore.Class.cv (nb095AlphaDummy385 D R S_cls E))
(SemanticCore.Wff.classEq (SemanticCore.Class.cv (nb095AlphaDummy393 D R S_cls E))
(Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv (nb095AlphaDummy394 D R S_cls E)))))).fv ∪ (SemanticCore.Class.cab (nb095AlphaDummy393 D R S_cls E)
(Compiler.CompactSourceSyntax.synWrex (nb095AlphaDummy394 D R S_cls E)
(SemanticCore.Class.cv (nb095AlphaDummy385 D R S_cls E))
(SemanticCore.Wff.classEq (SemanticCore.Class.cv (nb095AlphaDummy393 D R S_cls E))
(Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv (nb095AlphaDummy394 D R S_cls E)))))).fv
theorem
NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb095_support_mem_0399
(f : SemanticCore.Var)
:
nb095AlphaDummy388 f ∈ (SemanticCore.Class.cab (nb095AlphaDummy395 f)
(Compiler.CompactSourceSyntax.synWrex (nb095AlphaDummy396 f) (SemanticCore.Class.cv (nb095AlphaDummy388 f))
(SemanticCore.Wff.classEq (SemanticCore.Class.cv (nb095AlphaDummy395 f))
(Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv (nb095AlphaDummy396 f)))))).fv ∪ (SemanticCore.Class.cab (nb095AlphaDummy395 f)
(Compiler.CompactSourceSyntax.synWrex (nb095AlphaDummy396 f) (SemanticCore.Class.cv (nb095AlphaDummy388 f))
(SemanticCore.Wff.classEq (SemanticCore.Class.cv (nb095AlphaDummy395 f))
(Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv (nb095AlphaDummy396 f)))))).fv
theorem
NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb095_support_mem_0400
(D R S_cls E : SemanticCore.Class)
:
theorem
NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb095_support_mem_0402
(D R S_cls E : SemanticCore.Class)
:
nb095AlphaDummy401 D R S_cls E ∈ (SemanticCore.Wff.classMem (SemanticCore.Class.cv (nb095AlphaDummy401 D R S_cls E))
Compiler.CompactSourceSyntax.synCnnc).fv ∪ (Compiler.CompactSourceSyntax.synCplc (SemanticCore.Class.cv (nb095AlphaDummy401 D R S_cls E))
Compiler.CompactSourceSyntax.synC1c).fv ∪ (SemanticCore.Class.cv (nb095AlphaDummy401 D R S_cls E)).fv
theorem
NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb095_support_mem_0403
(f : SemanticCore.Var)
:
nb095AlphaDummy403 f ∈ (SemanticCore.Wff.classMem (SemanticCore.Class.cv (nb095AlphaDummy403 f)) Compiler.CompactSourceSyntax.synCnnc).fv ∪ (Compiler.CompactSourceSyntax.synCplc (SemanticCore.Class.cv (nb095AlphaDummy403 f))
Compiler.CompactSourceSyntax.synC1c).fv ∪ (SemanticCore.Class.cv (nb095AlphaDummy403 f)).fv
theorem
NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb095_support_mem_0404
(D R S_cls E : SemanticCore.Class)
:
nb095AlphaDummy401 D R S_cls E ∈ (SemanticCore.Class.cv (nb095AlphaDummy401 D R S_cls E)).fv ∪ Compiler.CompactSourceSyntax.synC1c.fv
theorem
NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb095_support_mem_0406
(D R S_cls E : SemanticCore.Class)
:
nb095AlphaDummy408 D R S_cls E ∈ (Compiler.CompactSourceSyntax.synCnin (SemanticCore.Class.cv (nb095AlphaDummy408 D R S_cls E))
(SemanticCore.Class.cv (nb095AlphaDummy409 D R S_cls E))).fv ∪ (Compiler.CompactSourceSyntax.synCnin (SemanticCore.Class.cv (nb095AlphaDummy408 D R S_cls E))
(SemanticCore.Class.cv (nb095AlphaDummy409 D R S_cls E))).fv
theorem
NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb095_support_mem_0408
(D R S_cls E : SemanticCore.Class)
:
nb095AlphaDummy408 D R S_cls E ∈ (SemanticCore.Class.cv (nb095AlphaDummy408 D R S_cls E)).fv ∪ (SemanticCore.Class.cv (nb095AlphaDummy409 D R S_cls E)).fv
theorem
NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb095_support_mem_0410
(D R S_cls E : SemanticCore.Class)
:
nb095AlphaDummy409 D R S_cls E ∈ (Compiler.CompactSourceSyntax.synCnin (SemanticCore.Class.cv (nb095AlphaDummy408 D R S_cls E))
(SemanticCore.Class.cv (nb095AlphaDummy409 D R S_cls E))).fv ∪ (Compiler.CompactSourceSyntax.synCnin (SemanticCore.Class.cv (nb095AlphaDummy408 D R S_cls E))
(SemanticCore.Class.cv (nb095AlphaDummy409 D R S_cls E))).fv
theorem
NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb095_support_mem_0412
(D R S_cls E : SemanticCore.Class)
:
nb095AlphaDummy409 D R S_cls E ∈ (SemanticCore.Class.cv (nb095AlphaDummy408 D R S_cls E)).fv ∪ (SemanticCore.Class.cv (nb095AlphaDummy409 D R S_cls E)).fv
theorem
NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb095_support_mem_0414
(D R S_cls E : SemanticCore.Class)
:
nb095AlphaDummy408 D R S_cls E ∈ (Compiler.CompactSourceSyntax.synCcompl (SemanticCore.Class.cv (nb095AlphaDummy408 D R S_cls E))).fv ∪ (Compiler.CompactSourceSyntax.synCcompl (SemanticCore.Class.cv (nb095AlphaDummy409 D R S_cls E))).fv
theorem
NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb095_support_mem_0416
(D R S_cls E : SemanticCore.Class)
:
nb095AlphaDummy408 D R S_cls E ∈ (SemanticCore.Class.cv (nb095AlphaDummy408 D R S_cls E)).fv ∪ (SemanticCore.Class.cv (nb095AlphaDummy408 D R S_cls E)).fv
theorem
NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb095_support_mem_0418
(D R S_cls E : SemanticCore.Class)
:
nb095AlphaDummy409 D R S_cls E ∈ (Compiler.CompactSourceSyntax.synCcompl (SemanticCore.Class.cv (nb095AlphaDummy408 D R S_cls E))).fv ∪ (Compiler.CompactSourceSyntax.synCcompl (SemanticCore.Class.cv (nb095AlphaDummy409 D R S_cls E))).fv
theorem
NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb095_support_mem_0420
(D R S_cls E : SemanticCore.Class)
:
nb095AlphaDummy409 D R S_cls E ∈ (SemanticCore.Class.cv (nb095AlphaDummy409 D R S_cls E)).fv ∪ (SemanticCore.Class.cv (nb095AlphaDummy409 D R S_cls E)).fv
theorem
NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb095_support_mem_0422
(D R S_cls E : SemanticCore.Class)
:
nb095AlphaDummy386 D R S_cls E ∈ (SemanticCore.Class.cv (nb095AlphaDummy385 D R S_cls E)).fv ∪ (SemanticCore.Class.cv (nb095AlphaDummy386 D R S_cls E)).fv
theorem
NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb095_support_mem_0423
(D R S_cls E : SemanticCore.Class)
:
nb095AlphaDummy386 D R S_cls E ∈ (Compiler.CompactSourceSyntax.synCcompl
(SemanticCore.Class.cab (nb095AlphaDummy393 D R S_cls E)
(Compiler.CompactSourceSyntax.synWrex (nb095AlphaDummy394 D R S_cls E)
(SemanticCore.Class.cv (nb095AlphaDummy385 D R S_cls E))
(SemanticCore.Wff.classEq (SemanticCore.Class.cv (nb095AlphaDummy393 D R S_cls E))
(Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv (nb095AlphaDummy394 D R S_cls E))))))).fv ∪ (Compiler.CompactSourceSyntax.synCcompl
(SemanticCore.Class.cab (nb095AlphaDummy393 D R S_cls E)
(Compiler.CompactSourceSyntax.synWrex (nb095AlphaDummy394 D R S_cls E)
(SemanticCore.Class.cv (nb095AlphaDummy386 D R S_cls E))
(SemanticCore.Wff.classEq (SemanticCore.Class.cv (nb095AlphaDummy393 D R S_cls E))
(Compiler.CompactSourceSyntax.synCun
(Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv (nb095AlphaDummy394 D R S_cls E)))
(Compiler.CompactSourceSyntax.synCsn Compiler.CompactSourceSyntax.synC0c)))))).fv
theorem
NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb095_support_mem_0425
(f : SemanticCore.Var)
:
nb095AlphaDummy389 f ∈ (Compiler.CompactSourceSyntax.synCcompl
(SemanticCore.Class.cab (nb095AlphaDummy395 f)
(Compiler.CompactSourceSyntax.synWrex (nb095AlphaDummy396 f) (SemanticCore.Class.cv (nb095AlphaDummy388 f))
(SemanticCore.Wff.classEq (SemanticCore.Class.cv (nb095AlphaDummy395 f))
(Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv (nb095AlphaDummy396 f))))))).fv ∪ (Compiler.CompactSourceSyntax.synCcompl
(SemanticCore.Class.cab (nb095AlphaDummy395 f)
(Compiler.CompactSourceSyntax.synWrex (nb095AlphaDummy396 f) (SemanticCore.Class.cv (nb095AlphaDummy389 f))
(SemanticCore.Wff.classEq (SemanticCore.Class.cv (nb095AlphaDummy395 f))
(Compiler.CompactSourceSyntax.synCun
(Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv (nb095AlphaDummy396 f)))
(Compiler.CompactSourceSyntax.synCsn Compiler.CompactSourceSyntax.synC0c)))))).fv
theorem
NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb095_support_mem_0426
(D R S_cls E : SemanticCore.Class)
:
nb095AlphaDummy386 D R S_cls E ∈ (SemanticCore.Class.cab (nb095AlphaDummy393 D R S_cls E)
(Compiler.CompactSourceSyntax.synWrex (nb095AlphaDummy394 D R S_cls E)
(SemanticCore.Class.cv (nb095AlphaDummy386 D R S_cls E))
(SemanticCore.Wff.classEq (SemanticCore.Class.cv (nb095AlphaDummy393 D R S_cls E))
(Compiler.CompactSourceSyntax.synCun
(Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv (nb095AlphaDummy394 D R S_cls E)))
(Compiler.CompactSourceSyntax.synCsn Compiler.CompactSourceSyntax.synC0c))))).fv ∪ (SemanticCore.Class.cab (nb095AlphaDummy393 D R S_cls E)
(Compiler.CompactSourceSyntax.synWrex (nb095AlphaDummy394 D R S_cls E)
(SemanticCore.Class.cv (nb095AlphaDummy386 D R S_cls E))
(SemanticCore.Wff.classEq (SemanticCore.Class.cv (nb095AlphaDummy393 D R S_cls E))
(Compiler.CompactSourceSyntax.synCun
(Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv (nb095AlphaDummy394 D R S_cls E)))
(Compiler.CompactSourceSyntax.synCsn Compiler.CompactSourceSyntax.synC0c))))).fv
theorem
NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb095_support_mem_0427
(f : SemanticCore.Var)
:
nb095AlphaDummy389 f ∈ (SemanticCore.Class.cab (nb095AlphaDummy395 f)
(Compiler.CompactSourceSyntax.synWrex (nb095AlphaDummy396 f) (SemanticCore.Class.cv (nb095AlphaDummy389 f))
(SemanticCore.Wff.classEq (SemanticCore.Class.cv (nb095AlphaDummy395 f))
(Compiler.CompactSourceSyntax.synCun
(Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv (nb095AlphaDummy396 f)))
(Compiler.CompactSourceSyntax.synCsn Compiler.CompactSourceSyntax.synC0c))))).fv ∪ (SemanticCore.Class.cab (nb095AlphaDummy395 f)
(Compiler.CompactSourceSyntax.synWrex (nb095AlphaDummy396 f) (SemanticCore.Class.cv (nb095AlphaDummy389 f))
(SemanticCore.Wff.classEq (SemanticCore.Class.cv (nb095AlphaDummy395 f))
(Compiler.CompactSourceSyntax.synCun
(Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv (nb095AlphaDummy396 f)))
(Compiler.CompactSourceSyntax.synCsn Compiler.CompactSourceSyntax.synC0c))))).fv
theorem
NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb095_support_mem_0428
(D R S_cls E : SemanticCore.Class)
:
theorem
NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb095_support_mem_0430
(D R S_cls E : SemanticCore.Class)
:
nb095AlphaDummy394 D R S_cls E ∈ (Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv (nb095AlphaDummy394 D R S_cls E))).fv ∪ (Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv (nb095AlphaDummy394 D R S_cls E))).fv
theorem
NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb095_support_mem_0432
(D R S_cls E : SemanticCore.Class)
:
nb095AlphaDummy385 D R S_cls E ∈ (SemanticCore.Class.cv (nb095AlphaDummy385 D R S_cls E)).fv ∪ (SemanticCore.Class.cv (nb095AlphaDummy387 D R S_cls E)).fv
theorem
NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb095_support_mem_0433
(D R S_cls E : SemanticCore.Class)
:
nb095AlphaDummy385 D R S_cls E ∈ (Compiler.CompactSourceSyntax.synCcompl
(SemanticCore.Class.cab (nb095AlphaDummy429 D R S_cls E)
(Compiler.CompactSourceSyntax.synWrex (nb095AlphaDummy430 D R S_cls E)
(SemanticCore.Class.cv (nb095AlphaDummy385 D R S_cls E))
(SemanticCore.Wff.classEq (SemanticCore.Class.cv (nb095AlphaDummy429 D R S_cls E))
(Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv (nb095AlphaDummy430 D R S_cls E))))))).fv ∪ (Compiler.CompactSourceSyntax.synCcompl
(SemanticCore.Class.cab (nb095AlphaDummy429 D R S_cls E)
(Compiler.CompactSourceSyntax.synWrex (nb095AlphaDummy430 D R S_cls E)
(SemanticCore.Class.cv (nb095AlphaDummy387 D R S_cls E))
(SemanticCore.Wff.classEq (SemanticCore.Class.cv (nb095AlphaDummy429 D R S_cls E))
(Compiler.CompactSourceSyntax.synCun
(Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv (nb095AlphaDummy430 D R S_cls E)))
(Compiler.CompactSourceSyntax.synCsn Compiler.CompactSourceSyntax.synC0c)))))).fv
theorem
NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb095_support_mem_0435
(f : SemanticCore.Var)
:
nb095AlphaDummy388 f ∈ (Compiler.CompactSourceSyntax.synCcompl
(SemanticCore.Class.cab (nb095AlphaDummy431 f)
(Compiler.CompactSourceSyntax.synWrex (nb095AlphaDummy432 f) (SemanticCore.Class.cv (nb095AlphaDummy388 f))
(SemanticCore.Wff.classEq (SemanticCore.Class.cv (nb095AlphaDummy431 f))
(Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv (nb095AlphaDummy432 f))))))).fv ∪ (Compiler.CompactSourceSyntax.synCcompl
(SemanticCore.Class.cab (nb095AlphaDummy431 f)
(Compiler.CompactSourceSyntax.synWrex (nb095AlphaDummy432 f) (SemanticCore.Class.cv (nb095AlphaDummy390 f))
(SemanticCore.Wff.classEq (SemanticCore.Class.cv (nb095AlphaDummy431 f))
(Compiler.CompactSourceSyntax.synCun
(Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv (nb095AlphaDummy432 f)))
(Compiler.CompactSourceSyntax.synCsn Compiler.CompactSourceSyntax.synC0c)))))).fv
theorem
NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb095_support_mem_0436
(D R S_cls E : SemanticCore.Class)
:
nb095AlphaDummy385 D R S_cls E ∈ (SemanticCore.Class.cab (nb095AlphaDummy429 D R S_cls E)
(Compiler.CompactSourceSyntax.synWrex (nb095AlphaDummy430 D R S_cls E)
(SemanticCore.Class.cv (nb095AlphaDummy385 D R S_cls E))
(SemanticCore.Wff.classEq (SemanticCore.Class.cv (nb095AlphaDummy429 D R S_cls E))
(Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv (nb095AlphaDummy430 D R S_cls E)))))).fv ∪ (SemanticCore.Class.cab (nb095AlphaDummy429 D R S_cls E)
(Compiler.CompactSourceSyntax.synWrex (nb095AlphaDummy430 D R S_cls E)
(SemanticCore.Class.cv (nb095AlphaDummy385 D R S_cls E))
(SemanticCore.Wff.classEq (SemanticCore.Class.cv (nb095AlphaDummy429 D R S_cls E))
(Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv (nb095AlphaDummy430 D R S_cls E)))))).fv
theorem
NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb095_support_mem_0437
(f : SemanticCore.Var)
:
nb095AlphaDummy388 f ∈ (SemanticCore.Class.cab (nb095AlphaDummy431 f)
(Compiler.CompactSourceSyntax.synWrex (nb095AlphaDummy432 f) (SemanticCore.Class.cv (nb095AlphaDummy388 f))
(SemanticCore.Wff.classEq (SemanticCore.Class.cv (nb095AlphaDummy431 f))
(Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv (nb095AlphaDummy432 f)))))).fv ∪ (SemanticCore.Class.cab (nb095AlphaDummy431 f)
(Compiler.CompactSourceSyntax.synWrex (nb095AlphaDummy432 f) (SemanticCore.Class.cv (nb095AlphaDummy388 f))
(SemanticCore.Wff.classEq (SemanticCore.Class.cv (nb095AlphaDummy431 f))
(Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv (nb095AlphaDummy432 f)))))).fv
theorem
NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb095_support_mem_0438
(D R S_cls E : SemanticCore.Class)
:
theorem
NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb095_support_mem_0440
(D R S_cls E : SemanticCore.Class)
:
nb095AlphaDummy437 D R S_cls E ∈ (SemanticCore.Wff.classMem (SemanticCore.Class.cv (nb095AlphaDummy437 D R S_cls E))
Compiler.CompactSourceSyntax.synCnnc).fv ∪ (Compiler.CompactSourceSyntax.synCplc (SemanticCore.Class.cv (nb095AlphaDummy437 D R S_cls E))
Compiler.CompactSourceSyntax.synC1c).fv ∪ (SemanticCore.Class.cv (nb095AlphaDummy437 D R S_cls E)).fv
theorem
NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb095_support_mem_0441
(f : SemanticCore.Var)
:
nb095AlphaDummy439 f ∈ (SemanticCore.Wff.classMem (SemanticCore.Class.cv (nb095AlphaDummy439 f)) Compiler.CompactSourceSyntax.synCnnc).fv ∪ (Compiler.CompactSourceSyntax.synCplc (SemanticCore.Class.cv (nb095AlphaDummy439 f))
Compiler.CompactSourceSyntax.synC1c).fv ∪ (SemanticCore.Class.cv (nb095AlphaDummy439 f)).fv
theorem
NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb095_support_mem_0442
(D R S_cls E : SemanticCore.Class)
:
nb095AlphaDummy437 D R S_cls E ∈ (SemanticCore.Class.cv (nb095AlphaDummy437 D R S_cls E)).fv ∪ Compiler.CompactSourceSyntax.synC1c.fv
theorem
NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb095_support_mem_0444
(D R S_cls E : SemanticCore.Class)
:
nb095AlphaDummy444 D R S_cls E ∈ (Compiler.CompactSourceSyntax.synCnin (SemanticCore.Class.cv (nb095AlphaDummy444 D R S_cls E))
(SemanticCore.Class.cv (nb095AlphaDummy445 D R S_cls E))).fv ∪ (Compiler.CompactSourceSyntax.synCnin (SemanticCore.Class.cv (nb095AlphaDummy444 D R S_cls E))
(SemanticCore.Class.cv (nb095AlphaDummy445 D R S_cls E))).fv
theorem
NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb095_support_mem_0446
(D R S_cls E : SemanticCore.Class)
:
nb095AlphaDummy444 D R S_cls E ∈ (SemanticCore.Class.cv (nb095AlphaDummy444 D R S_cls E)).fv ∪ (SemanticCore.Class.cv (nb095AlphaDummy445 D R S_cls E)).fv
theorem
NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb095_support_mem_0448
(D R S_cls E : SemanticCore.Class)
:
nb095AlphaDummy445 D R S_cls E ∈ (Compiler.CompactSourceSyntax.synCnin (SemanticCore.Class.cv (nb095AlphaDummy444 D R S_cls E))
(SemanticCore.Class.cv (nb095AlphaDummy445 D R S_cls E))).fv ∪ (Compiler.CompactSourceSyntax.synCnin (SemanticCore.Class.cv (nb095AlphaDummy444 D R S_cls E))
(SemanticCore.Class.cv (nb095AlphaDummy445 D R S_cls E))).fv
theorem
NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb095_support_mem_0450
(D R S_cls E : SemanticCore.Class)
:
nb095AlphaDummy445 D R S_cls E ∈ (SemanticCore.Class.cv (nb095AlphaDummy444 D R S_cls E)).fv ∪ (SemanticCore.Class.cv (nb095AlphaDummy445 D R S_cls E)).fv
theorem
NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb095_support_mem_0452
(D R S_cls E : SemanticCore.Class)
:
nb095AlphaDummy444 D R S_cls E ∈ (Compiler.CompactSourceSyntax.synCcompl (SemanticCore.Class.cv (nb095AlphaDummy444 D R S_cls E))).fv ∪ (Compiler.CompactSourceSyntax.synCcompl (SemanticCore.Class.cv (nb095AlphaDummy445 D R S_cls E))).fv
theorem
NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb095_support_mem_0454
(D R S_cls E : SemanticCore.Class)
:
nb095AlphaDummy444 D R S_cls E ∈ (SemanticCore.Class.cv (nb095AlphaDummy444 D R S_cls E)).fv ∪ (SemanticCore.Class.cv (nb095AlphaDummy444 D R S_cls E)).fv
theorem
NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb095_support_mem_0456
(D R S_cls E : SemanticCore.Class)
:
nb095AlphaDummy445 D R S_cls E ∈ (Compiler.CompactSourceSyntax.synCcompl (SemanticCore.Class.cv (nb095AlphaDummy444 D R S_cls E))).fv ∪ (Compiler.CompactSourceSyntax.synCcompl (SemanticCore.Class.cv (nb095AlphaDummy445 D R S_cls E))).fv
theorem
NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb095_support_mem_0458
(D R S_cls E : SemanticCore.Class)
:
nb095AlphaDummy445 D R S_cls E ∈ (SemanticCore.Class.cv (nb095AlphaDummy445 D R S_cls E)).fv ∪ (SemanticCore.Class.cv (nb095AlphaDummy445 D R S_cls E)).fv
theorem
NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb095_support_mem_0460
(D R S_cls E : SemanticCore.Class)
:
nb095AlphaDummy387 D R S_cls E ∈ (SemanticCore.Class.cv (nb095AlphaDummy385 D R S_cls E)).fv ∪ (SemanticCore.Class.cv (nb095AlphaDummy387 D R S_cls E)).fv
theorem
NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb095_support_mem_0461
(D R S_cls E : SemanticCore.Class)
:
nb095AlphaDummy387 D R S_cls E ∈ (Compiler.CompactSourceSyntax.synCcompl
(SemanticCore.Class.cab (nb095AlphaDummy429 D R S_cls E)
(Compiler.CompactSourceSyntax.synWrex (nb095AlphaDummy430 D R S_cls E)
(SemanticCore.Class.cv (nb095AlphaDummy385 D R S_cls E))
(SemanticCore.Wff.classEq (SemanticCore.Class.cv (nb095AlphaDummy429 D R S_cls E))
(Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv (nb095AlphaDummy430 D R S_cls E))))))).fv ∪ (Compiler.CompactSourceSyntax.synCcompl
(SemanticCore.Class.cab (nb095AlphaDummy429 D R S_cls E)
(Compiler.CompactSourceSyntax.synWrex (nb095AlphaDummy430 D R S_cls E)
(SemanticCore.Class.cv (nb095AlphaDummy387 D R S_cls E))
(SemanticCore.Wff.classEq (SemanticCore.Class.cv (nb095AlphaDummy429 D R S_cls E))
(Compiler.CompactSourceSyntax.synCun
(Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv (nb095AlphaDummy430 D R S_cls E)))
(Compiler.CompactSourceSyntax.synCsn Compiler.CompactSourceSyntax.synC0c)))))).fv
theorem
NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb095_support_mem_0463
(f : SemanticCore.Var)
:
nb095AlphaDummy390 f ∈ (Compiler.CompactSourceSyntax.synCcompl
(SemanticCore.Class.cab (nb095AlphaDummy431 f)
(Compiler.CompactSourceSyntax.synWrex (nb095AlphaDummy432 f) (SemanticCore.Class.cv (nb095AlphaDummy388 f))
(SemanticCore.Wff.classEq (SemanticCore.Class.cv (nb095AlphaDummy431 f))
(Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv (nb095AlphaDummy432 f))))))).fv ∪ (Compiler.CompactSourceSyntax.synCcompl
(SemanticCore.Class.cab (nb095AlphaDummy431 f)
(Compiler.CompactSourceSyntax.synWrex (nb095AlphaDummy432 f) (SemanticCore.Class.cv (nb095AlphaDummy390 f))
(SemanticCore.Wff.classEq (SemanticCore.Class.cv (nb095AlphaDummy431 f))
(Compiler.CompactSourceSyntax.synCun
(Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv (nb095AlphaDummy432 f)))
(Compiler.CompactSourceSyntax.synCsn Compiler.CompactSourceSyntax.synC0c)))))).fv
theorem
NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb095_support_mem_0464
(D R S_cls E : SemanticCore.Class)
:
nb095AlphaDummy387 D R S_cls E ∈ (SemanticCore.Class.cab (nb095AlphaDummy429 D R S_cls E)
(Compiler.CompactSourceSyntax.synWrex (nb095AlphaDummy430 D R S_cls E)
(SemanticCore.Class.cv (nb095AlphaDummy387 D R S_cls E))
(SemanticCore.Wff.classEq (SemanticCore.Class.cv (nb095AlphaDummy429 D R S_cls E))
(Compiler.CompactSourceSyntax.synCun
(Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv (nb095AlphaDummy430 D R S_cls E)))
(Compiler.CompactSourceSyntax.synCsn Compiler.CompactSourceSyntax.synC0c))))).fv ∪ (SemanticCore.Class.cab (nb095AlphaDummy429 D R S_cls E)
(Compiler.CompactSourceSyntax.synWrex (nb095AlphaDummy430 D R S_cls E)
(SemanticCore.Class.cv (nb095AlphaDummy387 D R S_cls E))
(SemanticCore.Wff.classEq (SemanticCore.Class.cv (nb095AlphaDummy429 D R S_cls E))
(Compiler.CompactSourceSyntax.synCun
(Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv (nb095AlphaDummy430 D R S_cls E)))
(Compiler.CompactSourceSyntax.synCsn Compiler.CompactSourceSyntax.synC0c))))).fv
theorem
NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb095_support_mem_0465
(f : SemanticCore.Var)
:
nb095AlphaDummy390 f ∈ (SemanticCore.Class.cab (nb095AlphaDummy431 f)
(Compiler.CompactSourceSyntax.synWrex (nb095AlphaDummy432 f) (SemanticCore.Class.cv (nb095AlphaDummy390 f))
(SemanticCore.Wff.classEq (SemanticCore.Class.cv (nb095AlphaDummy431 f))
(Compiler.CompactSourceSyntax.synCun
(Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv (nb095AlphaDummy432 f)))
(Compiler.CompactSourceSyntax.synCsn Compiler.CompactSourceSyntax.synC0c))))).fv ∪ (SemanticCore.Class.cab (nb095AlphaDummy431 f)
(Compiler.CompactSourceSyntax.synWrex (nb095AlphaDummy432 f) (SemanticCore.Class.cv (nb095AlphaDummy390 f))
(SemanticCore.Wff.classEq (SemanticCore.Class.cv (nb095AlphaDummy431 f))
(Compiler.CompactSourceSyntax.synCun
(Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv (nb095AlphaDummy432 f)))
(Compiler.CompactSourceSyntax.synCsn Compiler.CompactSourceSyntax.synC0c))))).fv
theorem
NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb095_support_mem_0466
(D R S_cls E : SemanticCore.Class)
:
theorem
NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb095_support_mem_0468
(D R S_cls E : SemanticCore.Class)
:
nb095AlphaDummy430 D R S_cls E ∈ (Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv (nb095AlphaDummy430 D R S_cls E))).fv ∪ (Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv (nb095AlphaDummy430 D R S_cls E))).fv
theorem
NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb095_support_mem_0470
(D R S_cls E : SemanticCore.Class)
:
nb095AlphaDummy465 D R S_cls E ∈ {nb095AlphaDummy465 D R S_cls E} ∪ {nb095AlphaDummy466 D R S_cls E} ∪ (Compiler.CompactSourceSyntax.synWbr (SemanticCore.Class.cv (nb095AlphaDummy466 D R S_cls E))
(Compiler.CompactSourceSyntax.synCcnv (SemanticCore.Class.cv (nb095AlphaDummy000 D R S_cls E)))
(SemanticCore.Class.cv (nb095AlphaDummy465 D R S_cls E))).fv
theorem
NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb095_support_mem_0472
(D R S_cls E : SemanticCore.Class)
:
nb095AlphaDummy466 D R S_cls E ∈ {nb095AlphaDummy465 D R S_cls E} ∪ {nb095AlphaDummy466 D R S_cls E} ∪ (Compiler.CompactSourceSyntax.synWbr (SemanticCore.Class.cv (nb095AlphaDummy466 D R S_cls E))
(Compiler.CompactSourceSyntax.synCcnv (SemanticCore.Class.cv (nb095AlphaDummy000 D R S_cls E)))
(SemanticCore.Class.cv (nb095AlphaDummy465 D R S_cls E))).fv
theorem
NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb095_support_mem_0474
(D R S_cls E : SemanticCore.Class)
:
nb095AlphaDummy465 D R S_cls E ∈ (SemanticCore.Class.cv (nb095AlphaDummy465 D R S_cls E)).fv ∪ (SemanticCore.Class.cv (nb095AlphaDummy466 D R S_cls E)).fv
theorem
NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb095_support_mem_0475
(D R S_cls E : SemanticCore.Class)
:
nb095AlphaDummy465 D R S_cls E ∈ (Compiler.CompactSourceSyntax.synCcompl
(SemanticCore.Class.cab (nb095AlphaDummy471 D R S_cls E)
(Compiler.CompactSourceSyntax.synWrex (nb095AlphaDummy472 D R S_cls E)
(SemanticCore.Class.cv (nb095AlphaDummy465 D R S_cls E))
(SemanticCore.Wff.classEq (SemanticCore.Class.cv (nb095AlphaDummy471 D R S_cls E))
(Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv (nb095AlphaDummy472 D R S_cls E))))))).fv ∪ (Compiler.CompactSourceSyntax.synCcompl
(SemanticCore.Class.cab (nb095AlphaDummy471 D R S_cls E)
(Compiler.CompactSourceSyntax.synWrex (nb095AlphaDummy472 D R S_cls E)
(SemanticCore.Class.cv (nb095AlphaDummy466 D R S_cls E))
(SemanticCore.Wff.classEq (SemanticCore.Class.cv (nb095AlphaDummy471 D R S_cls E))
(Compiler.CompactSourceSyntax.synCun
(Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv (nb095AlphaDummy472 D R S_cls E)))
(Compiler.CompactSourceSyntax.synCsn Compiler.CompactSourceSyntax.synC0c)))))).fv
theorem
NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb095_support_mem_0477
(f : SemanticCore.Var)
:
nb095AlphaDummy467 f ∈ (Compiler.CompactSourceSyntax.synCcompl
(SemanticCore.Class.cab (nb095AlphaDummy473 f)
(Compiler.CompactSourceSyntax.synWrex (nb095AlphaDummy474 f) (SemanticCore.Class.cv (nb095AlphaDummy467 f))
(SemanticCore.Wff.classEq (SemanticCore.Class.cv (nb095AlphaDummy473 f))
(Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv (nb095AlphaDummy474 f))))))).fv ∪ (Compiler.CompactSourceSyntax.synCcompl
(SemanticCore.Class.cab (nb095AlphaDummy473 f)
(Compiler.CompactSourceSyntax.synWrex (nb095AlphaDummy474 f) (SemanticCore.Class.cv (nb095AlphaDummy468 f))
(SemanticCore.Wff.classEq (SemanticCore.Class.cv (nb095AlphaDummy473 f))
(Compiler.CompactSourceSyntax.synCun
(Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv (nb095AlphaDummy474 f)))
(Compiler.CompactSourceSyntax.synCsn Compiler.CompactSourceSyntax.synC0c)))))).fv
theorem
NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb095_support_mem_0478
(D R S_cls E : SemanticCore.Class)
:
nb095AlphaDummy465 D R S_cls E ∈ (SemanticCore.Class.cab (nb095AlphaDummy471 D R S_cls E)
(Compiler.CompactSourceSyntax.synWrex (nb095AlphaDummy472 D R S_cls E)
(SemanticCore.Class.cv (nb095AlphaDummy465 D R S_cls E))
(SemanticCore.Wff.classEq (SemanticCore.Class.cv (nb095AlphaDummy471 D R S_cls E))
(Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv (nb095AlphaDummy472 D R S_cls E)))))).fv ∪ (SemanticCore.Class.cab (nb095AlphaDummy471 D R S_cls E)
(Compiler.CompactSourceSyntax.synWrex (nb095AlphaDummy472 D R S_cls E)
(SemanticCore.Class.cv (nb095AlphaDummy465 D R S_cls E))
(SemanticCore.Wff.classEq (SemanticCore.Class.cv (nb095AlphaDummy471 D R S_cls E))
(Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv (nb095AlphaDummy472 D R S_cls E)))))).fv
theorem
NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb095_support_mem_0479
(f : SemanticCore.Var)
:
nb095AlphaDummy467 f ∈ (SemanticCore.Class.cab (nb095AlphaDummy473 f)
(Compiler.CompactSourceSyntax.synWrex (nb095AlphaDummy474 f) (SemanticCore.Class.cv (nb095AlphaDummy467 f))
(SemanticCore.Wff.classEq (SemanticCore.Class.cv (nb095AlphaDummy473 f))
(Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv (nb095AlphaDummy474 f)))))).fv ∪ (SemanticCore.Class.cab (nb095AlphaDummy473 f)
(Compiler.CompactSourceSyntax.synWrex (nb095AlphaDummy474 f) (SemanticCore.Class.cv (nb095AlphaDummy467 f))
(SemanticCore.Wff.classEq (SemanticCore.Class.cv (nb095AlphaDummy473 f))
(Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv (nb095AlphaDummy474 f)))))).fv
theorem
NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb095_support_mem_0480
(D R S_cls E : SemanticCore.Class)
:
theorem
NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb095_support_mem_0482
(D R S_cls E : SemanticCore.Class)
:
nb095AlphaDummy479 D R S_cls E ∈ (SemanticCore.Wff.classMem (SemanticCore.Class.cv (nb095AlphaDummy479 D R S_cls E))
Compiler.CompactSourceSyntax.synCnnc).fv ∪ (Compiler.CompactSourceSyntax.synCplc (SemanticCore.Class.cv (nb095AlphaDummy479 D R S_cls E))
Compiler.CompactSourceSyntax.synC1c).fv ∪ (SemanticCore.Class.cv (nb095AlphaDummy479 D R S_cls E)).fv
theorem
NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb095_support_mem_0483
(f : SemanticCore.Var)
:
nb095AlphaDummy481 f ∈ (SemanticCore.Wff.classMem (SemanticCore.Class.cv (nb095AlphaDummy481 f)) Compiler.CompactSourceSyntax.synCnnc).fv ∪ (Compiler.CompactSourceSyntax.synCplc (SemanticCore.Class.cv (nb095AlphaDummy481 f))
Compiler.CompactSourceSyntax.synC1c).fv ∪ (SemanticCore.Class.cv (nb095AlphaDummy481 f)).fv
theorem
NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb095_support_mem_0484
(D R S_cls E : SemanticCore.Class)
:
nb095AlphaDummy479 D R S_cls E ∈ (SemanticCore.Class.cv (nb095AlphaDummy479 D R S_cls E)).fv ∪ Compiler.CompactSourceSyntax.synC1c.fv
theorem
NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb095_support_mem_0486
(D R S_cls E : SemanticCore.Class)
:
nb095AlphaDummy486 D R S_cls E ∈ (Compiler.CompactSourceSyntax.synCnin (SemanticCore.Class.cv (nb095AlphaDummy486 D R S_cls E))
(SemanticCore.Class.cv (nb095AlphaDummy487 D R S_cls E))).fv ∪ (Compiler.CompactSourceSyntax.synCnin (SemanticCore.Class.cv (nb095AlphaDummy486 D R S_cls E))
(SemanticCore.Class.cv (nb095AlphaDummy487 D R S_cls E))).fv
theorem
NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb095_support_mem_0488
(D R S_cls E : SemanticCore.Class)
:
nb095AlphaDummy486 D R S_cls E ∈ (SemanticCore.Class.cv (nb095AlphaDummy486 D R S_cls E)).fv ∪ (SemanticCore.Class.cv (nb095AlphaDummy487 D R S_cls E)).fv
theorem
NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb095_support_mem_0490
(D R S_cls E : SemanticCore.Class)
:
nb095AlphaDummy487 D R S_cls E ∈ (Compiler.CompactSourceSyntax.synCnin (SemanticCore.Class.cv (nb095AlphaDummy486 D R S_cls E))
(SemanticCore.Class.cv (nb095AlphaDummy487 D R S_cls E))).fv ∪ (Compiler.CompactSourceSyntax.synCnin (SemanticCore.Class.cv (nb095AlphaDummy486 D R S_cls E))
(SemanticCore.Class.cv (nb095AlphaDummy487 D R S_cls E))).fv
theorem
NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb095_support_mem_0492
(D R S_cls E : SemanticCore.Class)
:
nb095AlphaDummy487 D R S_cls E ∈ (SemanticCore.Class.cv (nb095AlphaDummy486 D R S_cls E)).fv ∪ (SemanticCore.Class.cv (nb095AlphaDummy487 D R S_cls E)).fv
theorem
NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb095_support_mem_0494
(D R S_cls E : SemanticCore.Class)
:
nb095AlphaDummy486 D R S_cls E ∈ (Compiler.CompactSourceSyntax.synCcompl (SemanticCore.Class.cv (nb095AlphaDummy486 D R S_cls E))).fv ∪ (Compiler.CompactSourceSyntax.synCcompl (SemanticCore.Class.cv (nb095AlphaDummy487 D R S_cls E))).fv
theorem
NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb095_support_mem_0496
(D R S_cls E : SemanticCore.Class)
:
nb095AlphaDummy486 D R S_cls E ∈ (SemanticCore.Class.cv (nb095AlphaDummy486 D R S_cls E)).fv ∪ (SemanticCore.Class.cv (nb095AlphaDummy486 D R S_cls E)).fv
theorem
NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb095_support_mem_0498
(D R S_cls E : SemanticCore.Class)
:
nb095AlphaDummy487 D R S_cls E ∈ (Compiler.CompactSourceSyntax.synCcompl (SemanticCore.Class.cv (nb095AlphaDummy486 D R S_cls E))).fv ∪ (Compiler.CompactSourceSyntax.synCcompl (SemanticCore.Class.cv (nb095AlphaDummy487 D R S_cls E))).fv
theorem
NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb095_support_mem_0500
(D R S_cls E : SemanticCore.Class)
:
nb095AlphaDummy487 D R S_cls E ∈ (SemanticCore.Class.cv (nb095AlphaDummy487 D R S_cls E)).fv ∪ (SemanticCore.Class.cv (nb095AlphaDummy487 D R S_cls E)).fv
theorem
NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb095_support_mem_0502
(D R S_cls E : SemanticCore.Class)
:
nb095AlphaDummy466 D R S_cls E ∈ (SemanticCore.Class.cv (nb095AlphaDummy465 D R S_cls E)).fv ∪ (SemanticCore.Class.cv (nb095AlphaDummy466 D R S_cls E)).fv
theorem
NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb095_support_mem_0503
(D R S_cls E : SemanticCore.Class)
:
nb095AlphaDummy466 D R S_cls E ∈ (Compiler.CompactSourceSyntax.synCcompl
(SemanticCore.Class.cab (nb095AlphaDummy471 D R S_cls E)
(Compiler.CompactSourceSyntax.synWrex (nb095AlphaDummy472 D R S_cls E)
(SemanticCore.Class.cv (nb095AlphaDummy465 D R S_cls E))
(SemanticCore.Wff.classEq (SemanticCore.Class.cv (nb095AlphaDummy471 D R S_cls E))
(Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv (nb095AlphaDummy472 D R S_cls E))))))).fv ∪ (Compiler.CompactSourceSyntax.synCcompl
(SemanticCore.Class.cab (nb095AlphaDummy471 D R S_cls E)
(Compiler.CompactSourceSyntax.synWrex (nb095AlphaDummy472 D R S_cls E)
(SemanticCore.Class.cv (nb095AlphaDummy466 D R S_cls E))
(SemanticCore.Wff.classEq (SemanticCore.Class.cv (nb095AlphaDummy471 D R S_cls E))
(Compiler.CompactSourceSyntax.synCun
(Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv (nb095AlphaDummy472 D R S_cls E)))
(Compiler.CompactSourceSyntax.synCsn Compiler.CompactSourceSyntax.synC0c)))))).fv
theorem
NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb095_support_mem_0505
(f : SemanticCore.Var)
:
nb095AlphaDummy468 f ∈ (Compiler.CompactSourceSyntax.synCcompl
(SemanticCore.Class.cab (nb095AlphaDummy473 f)
(Compiler.CompactSourceSyntax.synWrex (nb095AlphaDummy474 f) (SemanticCore.Class.cv (nb095AlphaDummy467 f))
(SemanticCore.Wff.classEq (SemanticCore.Class.cv (nb095AlphaDummy473 f))
(Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv (nb095AlphaDummy474 f))))))).fv ∪ (Compiler.CompactSourceSyntax.synCcompl
(SemanticCore.Class.cab (nb095AlphaDummy473 f)
(Compiler.CompactSourceSyntax.synWrex (nb095AlphaDummy474 f) (SemanticCore.Class.cv (nb095AlphaDummy468 f))
(SemanticCore.Wff.classEq (SemanticCore.Class.cv (nb095AlphaDummy473 f))
(Compiler.CompactSourceSyntax.synCun
(Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv (nb095AlphaDummy474 f)))
(Compiler.CompactSourceSyntax.synCsn Compiler.CompactSourceSyntax.synC0c)))))).fv
theorem
NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb095_support_mem_0506
(D R S_cls E : SemanticCore.Class)
:
nb095AlphaDummy466 D R S_cls E ∈ (SemanticCore.Class.cab (nb095AlphaDummy471 D R S_cls E)
(Compiler.CompactSourceSyntax.synWrex (nb095AlphaDummy472 D R S_cls E)
(SemanticCore.Class.cv (nb095AlphaDummy466 D R S_cls E))
(SemanticCore.Wff.classEq (SemanticCore.Class.cv (nb095AlphaDummy471 D R S_cls E))
(Compiler.CompactSourceSyntax.synCun
(Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv (nb095AlphaDummy472 D R S_cls E)))
(Compiler.CompactSourceSyntax.synCsn Compiler.CompactSourceSyntax.synC0c))))).fv ∪ (SemanticCore.Class.cab (nb095AlphaDummy471 D R S_cls E)
(Compiler.CompactSourceSyntax.synWrex (nb095AlphaDummy472 D R S_cls E)
(SemanticCore.Class.cv (nb095AlphaDummy466 D R S_cls E))
(SemanticCore.Wff.classEq (SemanticCore.Class.cv (nb095AlphaDummy471 D R S_cls E))
(Compiler.CompactSourceSyntax.synCun
(Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv (nb095AlphaDummy472 D R S_cls E)))
(Compiler.CompactSourceSyntax.synCsn Compiler.CompactSourceSyntax.synC0c))))).fv
theorem
NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb095_support_mem_0507
(f : SemanticCore.Var)
:
nb095AlphaDummy468 f ∈ (SemanticCore.Class.cab (nb095AlphaDummy473 f)
(Compiler.CompactSourceSyntax.synWrex (nb095AlphaDummy474 f) (SemanticCore.Class.cv (nb095AlphaDummy468 f))
(SemanticCore.Wff.classEq (SemanticCore.Class.cv (nb095AlphaDummy473 f))
(Compiler.CompactSourceSyntax.synCun
(Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv (nb095AlphaDummy474 f)))
(Compiler.CompactSourceSyntax.synCsn Compiler.CompactSourceSyntax.synC0c))))).fv ∪ (SemanticCore.Class.cab (nb095AlphaDummy473 f)
(Compiler.CompactSourceSyntax.synWrex (nb095AlphaDummy474 f) (SemanticCore.Class.cv (nb095AlphaDummy468 f))
(SemanticCore.Wff.classEq (SemanticCore.Class.cv (nb095AlphaDummy473 f))
(Compiler.CompactSourceSyntax.synCun
(Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv (nb095AlphaDummy474 f)))
(Compiler.CompactSourceSyntax.synCsn Compiler.CompactSourceSyntax.synC0c))))).fv
theorem
NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb095_support_mem_0508
(D R S_cls E : SemanticCore.Class)
:
theorem
NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb095_support_mem_0510
(D R S_cls E : SemanticCore.Class)
:
nb095AlphaDummy472 D R S_cls E ∈ (Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv (nb095AlphaDummy472 D R S_cls E))).fv ∪ (Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv (nb095AlphaDummy472 D R S_cls E))).fv
theorem
NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb095_support_mem_0512
(D R S_cls E : SemanticCore.Class)
:
nb095AlphaDummy466 D R S_cls E ∈ (SemanticCore.Class.cv (nb095AlphaDummy466 D R S_cls E)).fv ∪ (SemanticCore.Class.cv (nb095AlphaDummy465 D R S_cls E)).fv
theorem
NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb095_support_mem_0513
(D R S_cls E : SemanticCore.Class)
:
nb095AlphaDummy466 D R S_cls E ∈ (Compiler.CompactSourceSyntax.synCcompl
(SemanticCore.Class.cab (nb095AlphaDummy507 D R S_cls E)
(Compiler.CompactSourceSyntax.synWrex (nb095AlphaDummy508 D R S_cls E)
(SemanticCore.Class.cv (nb095AlphaDummy466 D R S_cls E))
(SemanticCore.Wff.classEq (SemanticCore.Class.cv (nb095AlphaDummy507 D R S_cls E))
(Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv (nb095AlphaDummy508 D R S_cls E))))))).fv ∪ (Compiler.CompactSourceSyntax.synCcompl
(SemanticCore.Class.cab (nb095AlphaDummy507 D R S_cls E)
(Compiler.CompactSourceSyntax.synWrex (nb095AlphaDummy508 D R S_cls E)
(SemanticCore.Class.cv (nb095AlphaDummy465 D R S_cls E))
(SemanticCore.Wff.classEq (SemanticCore.Class.cv (nb095AlphaDummy507 D R S_cls E))
(Compiler.CompactSourceSyntax.synCun
(Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv (nb095AlphaDummy508 D R S_cls E)))
(Compiler.CompactSourceSyntax.synCsn Compiler.CompactSourceSyntax.synC0c)))))).fv
theorem
NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb095_support_mem_0515
(f : SemanticCore.Var)
:
nb095AlphaDummy468 f ∈ (Compiler.CompactSourceSyntax.synCcompl
(SemanticCore.Class.cab (nb095AlphaDummy509 f)
(Compiler.CompactSourceSyntax.synWrex (nb095AlphaDummy510 f) (SemanticCore.Class.cv (nb095AlphaDummy468 f))
(SemanticCore.Wff.classEq (SemanticCore.Class.cv (nb095AlphaDummy509 f))
(Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv (nb095AlphaDummy510 f))))))).fv ∪ (Compiler.CompactSourceSyntax.synCcompl
(SemanticCore.Class.cab (nb095AlphaDummy509 f)
(Compiler.CompactSourceSyntax.synWrex (nb095AlphaDummy510 f) (SemanticCore.Class.cv (nb095AlphaDummy467 f))
(SemanticCore.Wff.classEq (SemanticCore.Class.cv (nb095AlphaDummy509 f))
(Compiler.CompactSourceSyntax.synCun
(Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv (nb095AlphaDummy510 f)))
(Compiler.CompactSourceSyntax.synCsn Compiler.CompactSourceSyntax.synC0c)))))).fv
theorem
NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb095_support_mem_0516
(D R S_cls E : SemanticCore.Class)
:
nb095AlphaDummy466 D R S_cls E ∈ (SemanticCore.Class.cab (nb095AlphaDummy507 D R S_cls E)
(Compiler.CompactSourceSyntax.synWrex (nb095AlphaDummy508 D R S_cls E)
(SemanticCore.Class.cv (nb095AlphaDummy466 D R S_cls E))
(SemanticCore.Wff.classEq (SemanticCore.Class.cv (nb095AlphaDummy507 D R S_cls E))
(Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv (nb095AlphaDummy508 D R S_cls E)))))).fv ∪ (SemanticCore.Class.cab (nb095AlphaDummy507 D R S_cls E)
(Compiler.CompactSourceSyntax.synWrex (nb095AlphaDummy508 D R S_cls E)
(SemanticCore.Class.cv (nb095AlphaDummy466 D R S_cls E))
(SemanticCore.Wff.classEq (SemanticCore.Class.cv (nb095AlphaDummy507 D R S_cls E))
(Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv (nb095AlphaDummy508 D R S_cls E)))))).fv
theorem
NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb095_support_mem_0517
(f : SemanticCore.Var)
:
nb095AlphaDummy468 f ∈ (SemanticCore.Class.cab (nb095AlphaDummy509 f)
(Compiler.CompactSourceSyntax.synWrex (nb095AlphaDummy510 f) (SemanticCore.Class.cv (nb095AlphaDummy468 f))
(SemanticCore.Wff.classEq (SemanticCore.Class.cv (nb095AlphaDummy509 f))
(Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv (nb095AlphaDummy510 f)))))).fv ∪ (SemanticCore.Class.cab (nb095AlphaDummy509 f)
(Compiler.CompactSourceSyntax.synWrex (nb095AlphaDummy510 f) (SemanticCore.Class.cv (nb095AlphaDummy468 f))
(SemanticCore.Wff.classEq (SemanticCore.Class.cv (nb095AlphaDummy509 f))
(Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv (nb095AlphaDummy510 f)))))).fv
theorem
NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb095_support_mem_0518
(D R S_cls E : SemanticCore.Class)
:
theorem
NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb095_support_mem_0520
(D R S_cls E : SemanticCore.Class)
:
nb095AlphaDummy515 D R S_cls E ∈ (SemanticCore.Wff.classMem (SemanticCore.Class.cv (nb095AlphaDummy515 D R S_cls E))
Compiler.CompactSourceSyntax.synCnnc).fv ∪ (Compiler.CompactSourceSyntax.synCplc (SemanticCore.Class.cv (nb095AlphaDummy515 D R S_cls E))
Compiler.CompactSourceSyntax.synC1c).fv ∪ (SemanticCore.Class.cv (nb095AlphaDummy515 D R S_cls E)).fv
theorem
NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb095_support_mem_0521
(f : SemanticCore.Var)
:
nb095AlphaDummy517 f ∈ (SemanticCore.Wff.classMem (SemanticCore.Class.cv (nb095AlphaDummy517 f)) Compiler.CompactSourceSyntax.synCnnc).fv ∪ (Compiler.CompactSourceSyntax.synCplc (SemanticCore.Class.cv (nb095AlphaDummy517 f))
Compiler.CompactSourceSyntax.synC1c).fv ∪ (SemanticCore.Class.cv (nb095AlphaDummy517 f)).fv
theorem
NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb095_support_mem_0522
(D R S_cls E : SemanticCore.Class)
:
nb095AlphaDummy515 D R S_cls E ∈ (SemanticCore.Class.cv (nb095AlphaDummy515 D R S_cls E)).fv ∪ Compiler.CompactSourceSyntax.synC1c.fv
theorem
NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb095_support_mem_0524
(D R S_cls E : SemanticCore.Class)
:
nb095AlphaDummy522 D R S_cls E ∈ (Compiler.CompactSourceSyntax.synCnin (SemanticCore.Class.cv (nb095AlphaDummy522 D R S_cls E))
(SemanticCore.Class.cv (nb095AlphaDummy523 D R S_cls E))).fv ∪ (Compiler.CompactSourceSyntax.synCnin (SemanticCore.Class.cv (nb095AlphaDummy522 D R S_cls E))
(SemanticCore.Class.cv (nb095AlphaDummy523 D R S_cls E))).fv
theorem
NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb095_support_mem_0526
(D R S_cls E : SemanticCore.Class)
:
nb095AlphaDummy522 D R S_cls E ∈ (SemanticCore.Class.cv (nb095AlphaDummy522 D R S_cls E)).fv ∪ (SemanticCore.Class.cv (nb095AlphaDummy523 D R S_cls E)).fv
theorem
NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb095_support_mem_0528
(D R S_cls E : SemanticCore.Class)
:
nb095AlphaDummy523 D R S_cls E ∈ (Compiler.CompactSourceSyntax.synCnin (SemanticCore.Class.cv (nb095AlphaDummy522 D R S_cls E))
(SemanticCore.Class.cv (nb095AlphaDummy523 D R S_cls E))).fv ∪ (Compiler.CompactSourceSyntax.synCnin (SemanticCore.Class.cv (nb095AlphaDummy522 D R S_cls E))
(SemanticCore.Class.cv (nb095AlphaDummy523 D R S_cls E))).fv
theorem
NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb095_support_mem_0530
(D R S_cls E : SemanticCore.Class)
:
nb095AlphaDummy523 D R S_cls E ∈ (SemanticCore.Class.cv (nb095AlphaDummy522 D R S_cls E)).fv ∪ (SemanticCore.Class.cv (nb095AlphaDummy523 D R S_cls E)).fv
theorem
NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb095_support_mem_0532
(D R S_cls E : SemanticCore.Class)
:
nb095AlphaDummy522 D R S_cls E ∈ (Compiler.CompactSourceSyntax.synCcompl (SemanticCore.Class.cv (nb095AlphaDummy522 D R S_cls E))).fv ∪ (Compiler.CompactSourceSyntax.synCcompl (SemanticCore.Class.cv (nb095AlphaDummy523 D R S_cls E))).fv
theorem
NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb095_support_mem_0534
(D R S_cls E : SemanticCore.Class)
:
nb095AlphaDummy522 D R S_cls E ∈ (SemanticCore.Class.cv (nb095AlphaDummy522 D R S_cls E)).fv ∪ (SemanticCore.Class.cv (nb095AlphaDummy522 D R S_cls E)).fv
theorem
NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb095_support_mem_0536
(D R S_cls E : SemanticCore.Class)
:
nb095AlphaDummy523 D R S_cls E ∈ (Compiler.CompactSourceSyntax.synCcompl (SemanticCore.Class.cv (nb095AlphaDummy522 D R S_cls E))).fv ∪ (Compiler.CompactSourceSyntax.synCcompl (SemanticCore.Class.cv (nb095AlphaDummy523 D R S_cls E))).fv
theorem
NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb095_support_mem_0538
(D R S_cls E : SemanticCore.Class)
:
nb095AlphaDummy523 D R S_cls E ∈ (SemanticCore.Class.cv (nb095AlphaDummy523 D R S_cls E)).fv ∪ (SemanticCore.Class.cv (nb095AlphaDummy523 D R S_cls E)).fv
theorem
NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb095_support_mem_0540
(D R S_cls E : SemanticCore.Class)
:
nb095AlphaDummy465 D R S_cls E ∈ (SemanticCore.Class.cv (nb095AlphaDummy466 D R S_cls E)).fv ∪ (SemanticCore.Class.cv (nb095AlphaDummy465 D R S_cls E)).fv
theorem
NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb095_support_mem_0541
(D R S_cls E : SemanticCore.Class)
:
nb095AlphaDummy465 D R S_cls E ∈ (Compiler.CompactSourceSyntax.synCcompl
(SemanticCore.Class.cab (nb095AlphaDummy507 D R S_cls E)
(Compiler.CompactSourceSyntax.synWrex (nb095AlphaDummy508 D R S_cls E)
(SemanticCore.Class.cv (nb095AlphaDummy466 D R S_cls E))
(SemanticCore.Wff.classEq (SemanticCore.Class.cv (nb095AlphaDummy507 D R S_cls E))
(Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv (nb095AlphaDummy508 D R S_cls E))))))).fv ∪ (Compiler.CompactSourceSyntax.synCcompl
(SemanticCore.Class.cab (nb095AlphaDummy507 D R S_cls E)
(Compiler.CompactSourceSyntax.synWrex (nb095AlphaDummy508 D R S_cls E)
(SemanticCore.Class.cv (nb095AlphaDummy465 D R S_cls E))
(SemanticCore.Wff.classEq (SemanticCore.Class.cv (nb095AlphaDummy507 D R S_cls E))
(Compiler.CompactSourceSyntax.synCun
(Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv (nb095AlphaDummy508 D R S_cls E)))
(Compiler.CompactSourceSyntax.synCsn Compiler.CompactSourceSyntax.synC0c)))))).fv
theorem
NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb095_support_mem_0543
(f : SemanticCore.Var)
:
nb095AlphaDummy467 f ∈ (Compiler.CompactSourceSyntax.synCcompl
(SemanticCore.Class.cab (nb095AlphaDummy509 f)
(Compiler.CompactSourceSyntax.synWrex (nb095AlphaDummy510 f) (SemanticCore.Class.cv (nb095AlphaDummy468 f))
(SemanticCore.Wff.classEq (SemanticCore.Class.cv (nb095AlphaDummy509 f))
(Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv (nb095AlphaDummy510 f))))))).fv ∪ (Compiler.CompactSourceSyntax.synCcompl
(SemanticCore.Class.cab (nb095AlphaDummy509 f)
(Compiler.CompactSourceSyntax.synWrex (nb095AlphaDummy510 f) (SemanticCore.Class.cv (nb095AlphaDummy467 f))
(SemanticCore.Wff.classEq (SemanticCore.Class.cv (nb095AlphaDummy509 f))
(Compiler.CompactSourceSyntax.synCun
(Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv (nb095AlphaDummy510 f)))
(Compiler.CompactSourceSyntax.synCsn Compiler.CompactSourceSyntax.synC0c)))))).fv
theorem
NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb095_support_mem_0544
(D R S_cls E : SemanticCore.Class)
:
nb095AlphaDummy465 D R S_cls E ∈ (SemanticCore.Class.cab (nb095AlphaDummy507 D R S_cls E)
(Compiler.CompactSourceSyntax.synWrex (nb095AlphaDummy508 D R S_cls E)
(SemanticCore.Class.cv (nb095AlphaDummy465 D R S_cls E))
(SemanticCore.Wff.classEq (SemanticCore.Class.cv (nb095AlphaDummy507 D R S_cls E))
(Compiler.CompactSourceSyntax.synCun
(Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv (nb095AlphaDummy508 D R S_cls E)))
(Compiler.CompactSourceSyntax.synCsn Compiler.CompactSourceSyntax.synC0c))))).fv ∪ (SemanticCore.Class.cab (nb095AlphaDummy507 D R S_cls E)
(Compiler.CompactSourceSyntax.synWrex (nb095AlphaDummy508 D R S_cls E)
(SemanticCore.Class.cv (nb095AlphaDummy465 D R S_cls E))
(SemanticCore.Wff.classEq (SemanticCore.Class.cv (nb095AlphaDummy507 D R S_cls E))
(Compiler.CompactSourceSyntax.synCun
(Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv (nb095AlphaDummy508 D R S_cls E)))
(Compiler.CompactSourceSyntax.synCsn Compiler.CompactSourceSyntax.synC0c))))).fv
theorem
NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb095_support_mem_0545
(f : SemanticCore.Var)
:
nb095AlphaDummy467 f ∈ (SemanticCore.Class.cab (nb095AlphaDummy509 f)
(Compiler.CompactSourceSyntax.synWrex (nb095AlphaDummy510 f) (SemanticCore.Class.cv (nb095AlphaDummy467 f))
(SemanticCore.Wff.classEq (SemanticCore.Class.cv (nb095AlphaDummy509 f))
(Compiler.CompactSourceSyntax.synCun
(Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv (nb095AlphaDummy510 f)))
(Compiler.CompactSourceSyntax.synCsn Compiler.CompactSourceSyntax.synC0c))))).fv ∪ (SemanticCore.Class.cab (nb095AlphaDummy509 f)
(Compiler.CompactSourceSyntax.synWrex (nb095AlphaDummy510 f) (SemanticCore.Class.cv (nb095AlphaDummy467 f))
(SemanticCore.Wff.classEq (SemanticCore.Class.cv (nb095AlphaDummy509 f))
(Compiler.CompactSourceSyntax.synCun
(Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv (nb095AlphaDummy510 f)))
(Compiler.CompactSourceSyntax.synCsn Compiler.CompactSourceSyntax.synC0c))))).fv
theorem
NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb095_support_mem_0546
(D R S_cls E : SemanticCore.Class)
:
theorem
NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb095_support_mem_0548
(D R S_cls E : SemanticCore.Class)
:
nb095AlphaDummy508 D R S_cls E ∈ (Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv (nb095AlphaDummy508 D R S_cls E))).fv ∪ (Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv (nb095AlphaDummy508 D R S_cls E))).fv
theorem
NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb095_support_mem_0550
(D R S_cls E : SemanticCore.Class)
:
nb095AlphaDummy000 D R S_cls E ∈ (Compiler.CompactSourceSyntax.synCnin
(Compiler.CompactSourceSyntax.synCcom
(Compiler.CompactSourceSyntax.synCcnv (SemanticCore.Class.cv (nb095AlphaDummy000 D R S_cls E)))
(Compiler.CompactSourceSyntax.synCcnv
(Compiler.CompactSourceSyntax.synCcnv (SemanticCore.Class.cv (nb095AlphaDummy000 D R S_cls E)))))
Compiler.CompactSourceSyntax.synCid).fv ∪ (Compiler.CompactSourceSyntax.synCnin
(Compiler.CompactSourceSyntax.synCcom
(Compiler.CompactSourceSyntax.synCcnv (SemanticCore.Class.cv (nb095AlphaDummy000 D R S_cls E)))
(Compiler.CompactSourceSyntax.synCcnv
(Compiler.CompactSourceSyntax.synCcnv (SemanticCore.Class.cv (nb095AlphaDummy000 D R S_cls E)))))
Compiler.CompactSourceSyntax.synCid).fv
theorem
NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb095_support_mem_0551
(f : SemanticCore.Var)
:
f ∈ (Compiler.CompactSourceSyntax.synCnin
(Compiler.CompactSourceSyntax.synCcom (Compiler.CompactSourceSyntax.synCcnv (SemanticCore.Class.cv f))
(Compiler.CompactSourceSyntax.synCcnv (Compiler.CompactSourceSyntax.synCcnv (SemanticCore.Class.cv f))))
Compiler.CompactSourceSyntax.synCid).fv ∪ (Compiler.CompactSourceSyntax.synCnin
(Compiler.CompactSourceSyntax.synCcom (Compiler.CompactSourceSyntax.synCcnv (SemanticCore.Class.cv f))
(Compiler.CompactSourceSyntax.synCcnv (Compiler.CompactSourceSyntax.synCcnv (SemanticCore.Class.cv f))))
Compiler.CompactSourceSyntax.synCid).fv
theorem
NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb095_support_mem_0552
(D R S_cls E : SemanticCore.Class)
:
nb095AlphaDummy000 D R S_cls E ∈ (Compiler.CompactSourceSyntax.synCcom
(Compiler.CompactSourceSyntax.synCcnv (SemanticCore.Class.cv (nb095AlphaDummy000 D R S_cls E)))
(Compiler.CompactSourceSyntax.synCcnv
(Compiler.CompactSourceSyntax.synCcnv (SemanticCore.Class.cv (nb095AlphaDummy000 D R S_cls E))))).fv ∪ Compiler.CompactSourceSyntax.synCid.fv
theorem
NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb095_support_mem_0554
(D R S_cls E : SemanticCore.Class)
:
nb095AlphaDummy000 D R S_cls E ∈ (Compiler.CompactSourceSyntax.synCcnv (SemanticCore.Class.cv (nb095AlphaDummy000 D R S_cls E))).fv ∪ (Compiler.CompactSourceSyntax.synCcnv
(Compiler.CompactSourceSyntax.synCcnv (SemanticCore.Class.cv (nb095AlphaDummy000 D R S_cls E)))).fv
theorem
NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb095_support_mem_0555
(D R S_cls E : SemanticCore.Class)
:
nb095AlphaDummy000 D R S_cls E ∈ {nb095AlphaDummy385 D R S_cls E} ∪ {nb095AlphaDummy386 D R S_cls E} ∪ (Compiler.CompactSourceSyntax.synWex (nb095AlphaDummy387 D R S_cls E)
(Compiler.CompactSourceSyntax.synWa
(Compiler.CompactSourceSyntax.synWbr (SemanticCore.Class.cv (nb095AlphaDummy385 D R S_cls E))
(Compiler.CompactSourceSyntax.synCcnv
(Compiler.CompactSourceSyntax.synCcnv (SemanticCore.Class.cv (nb095AlphaDummy000 D R S_cls E))))
(SemanticCore.Class.cv (nb095AlphaDummy387 D R S_cls E)))
(Compiler.CompactSourceSyntax.synWbr (SemanticCore.Class.cv (nb095AlphaDummy387 D R S_cls E))
(Compiler.CompactSourceSyntax.synCcnv (SemanticCore.Class.cv (nb095AlphaDummy000 D R S_cls E)))
(SemanticCore.Class.cv (nb095AlphaDummy386 D R S_cls E))))).fv
theorem
NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb095_support_mem_0557
(f : SemanticCore.Var)
:
f ∈ {nb095AlphaDummy388 f} ∪ {nb095AlphaDummy389 f} ∪ (Compiler.CompactSourceSyntax.synWex (nb095AlphaDummy390 f)
(Compiler.CompactSourceSyntax.synWa
(Compiler.CompactSourceSyntax.synWbr (SemanticCore.Class.cv (nb095AlphaDummy388 f))
(Compiler.CompactSourceSyntax.synCcnv (Compiler.CompactSourceSyntax.synCcnv (SemanticCore.Class.cv f)))
(SemanticCore.Class.cv (nb095AlphaDummy390 f)))
(Compiler.CompactSourceSyntax.synWbr (SemanticCore.Class.cv (nb095AlphaDummy390 f))
(Compiler.CompactSourceSyntax.synCcnv (SemanticCore.Class.cv f))
(SemanticCore.Class.cv (nb095AlphaDummy389 f))))).fv
theorem
NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb095_support_mem_0558
(D R S_cls E : SemanticCore.Class)
:
nb095AlphaDummy000 D R S_cls E ∈ {nb095AlphaDummy465 D R S_cls E} ∪ {nb095AlphaDummy466 D R S_cls E} ∪ (Compiler.CompactSourceSyntax.synWbr (SemanticCore.Class.cv (nb095AlphaDummy466 D R S_cls E))
(Compiler.CompactSourceSyntax.synCcnv (SemanticCore.Class.cv (nb095AlphaDummy000 D R S_cls E)))
(SemanticCore.Class.cv (nb095AlphaDummy465 D R S_cls E))).fv
theorem
NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb095_support_mem_0560
(D R S_cls E : SemanticCore.Class)
:
nb095AlphaDummy000 D R S_cls E ∈ (Compiler.CompactSourceSyntax.synCcnv (SemanticCore.Class.cv (nb095AlphaDummy000 D R S_cls E))).fv
theorem
NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb095_support_mem_0562
(D R S_cls E : SemanticCore.Class)
:
nb095AlphaDummy387 D R S_cls E ∈ (SemanticCore.Class.cv (nb095AlphaDummy387 D R S_cls E)).fv ∪ (SemanticCore.Class.cv (nb095AlphaDummy386 D R S_cls E)).fv
theorem
NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb095_support_mem_0563
(D R S_cls E : SemanticCore.Class)
:
nb095AlphaDummy387 D R S_cls E ∈ (Compiler.CompactSourceSyntax.synCcompl
(SemanticCore.Class.cab (nb095AlphaDummy543 D R S_cls E)
(Compiler.CompactSourceSyntax.synWrex (nb095AlphaDummy544 D R S_cls E)
(SemanticCore.Class.cv (nb095AlphaDummy387 D R S_cls E))
(SemanticCore.Wff.classEq (SemanticCore.Class.cv (nb095AlphaDummy543 D R S_cls E))
(Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv (nb095AlphaDummy544 D R S_cls E))))))).fv ∪ (Compiler.CompactSourceSyntax.synCcompl
(SemanticCore.Class.cab (nb095AlphaDummy543 D R S_cls E)
(Compiler.CompactSourceSyntax.synWrex (nb095AlphaDummy544 D R S_cls E)
(SemanticCore.Class.cv (nb095AlphaDummy386 D R S_cls E))
(SemanticCore.Wff.classEq (SemanticCore.Class.cv (nb095AlphaDummy543 D R S_cls E))
(Compiler.CompactSourceSyntax.synCun
(Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv (nb095AlphaDummy544 D R S_cls E)))
(Compiler.CompactSourceSyntax.synCsn Compiler.CompactSourceSyntax.synC0c)))))).fv
theorem
NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb095_support_mem_0565
(f : SemanticCore.Var)
:
nb095AlphaDummy390 f ∈ (Compiler.CompactSourceSyntax.synCcompl
(SemanticCore.Class.cab (nb095AlphaDummy545 f)
(Compiler.CompactSourceSyntax.synWrex (nb095AlphaDummy546 f) (SemanticCore.Class.cv (nb095AlphaDummy390 f))
(SemanticCore.Wff.classEq (SemanticCore.Class.cv (nb095AlphaDummy545 f))
(Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv (nb095AlphaDummy546 f))))))).fv ∪ (Compiler.CompactSourceSyntax.synCcompl
(SemanticCore.Class.cab (nb095AlphaDummy545 f)
(Compiler.CompactSourceSyntax.synWrex (nb095AlphaDummy546 f) (SemanticCore.Class.cv (nb095AlphaDummy389 f))
(SemanticCore.Wff.classEq (SemanticCore.Class.cv (nb095AlphaDummy545 f))
(Compiler.CompactSourceSyntax.synCun
(Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv (nb095AlphaDummy546 f)))
(Compiler.CompactSourceSyntax.synCsn Compiler.CompactSourceSyntax.synC0c)))))).fv
theorem
NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb095_support_mem_0566
(D R S_cls E : SemanticCore.Class)
:
nb095AlphaDummy387 D R S_cls E ∈ (SemanticCore.Class.cab (nb095AlphaDummy543 D R S_cls E)
(Compiler.CompactSourceSyntax.synWrex (nb095AlphaDummy544 D R S_cls E)
(SemanticCore.Class.cv (nb095AlphaDummy387 D R S_cls E))
(SemanticCore.Wff.classEq (SemanticCore.Class.cv (nb095AlphaDummy543 D R S_cls E))
(Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv (nb095AlphaDummy544 D R S_cls E)))))).fv ∪ (SemanticCore.Class.cab (nb095AlphaDummy543 D R S_cls E)
(Compiler.CompactSourceSyntax.synWrex (nb095AlphaDummy544 D R S_cls E)
(SemanticCore.Class.cv (nb095AlphaDummy387 D R S_cls E))
(SemanticCore.Wff.classEq (SemanticCore.Class.cv (nb095AlphaDummy543 D R S_cls E))
(Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv (nb095AlphaDummy544 D R S_cls E)))))).fv
theorem
NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb095_support_mem_0567
(f : SemanticCore.Var)
:
nb095AlphaDummy390 f ∈ (SemanticCore.Class.cab (nb095AlphaDummy545 f)
(Compiler.CompactSourceSyntax.synWrex (nb095AlphaDummy546 f) (SemanticCore.Class.cv (nb095AlphaDummy390 f))
(SemanticCore.Wff.classEq (SemanticCore.Class.cv (nb095AlphaDummy545 f))
(Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv (nb095AlphaDummy546 f)))))).fv ∪ (SemanticCore.Class.cab (nb095AlphaDummy545 f)
(Compiler.CompactSourceSyntax.synWrex (nb095AlphaDummy546 f) (SemanticCore.Class.cv (nb095AlphaDummy390 f))
(SemanticCore.Wff.classEq (SemanticCore.Class.cv (nb095AlphaDummy545 f))
(Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv (nb095AlphaDummy546 f)))))).fv
theorem
NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb095_support_mem_0568
(D R S_cls E : SemanticCore.Class)
:
theorem
NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb095_support_mem_0570
(D R S_cls E : SemanticCore.Class)
:
nb095AlphaDummy551 D R S_cls E ∈ (SemanticCore.Wff.classMem (SemanticCore.Class.cv (nb095AlphaDummy551 D R S_cls E))
Compiler.CompactSourceSyntax.synCnnc).fv ∪ (Compiler.CompactSourceSyntax.synCplc (SemanticCore.Class.cv (nb095AlphaDummy551 D R S_cls E))
Compiler.CompactSourceSyntax.synC1c).fv ∪ (SemanticCore.Class.cv (nb095AlphaDummy551 D R S_cls E)).fv
theorem
NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb095_support_mem_0571
(f : SemanticCore.Var)
:
nb095AlphaDummy553 f ∈ (SemanticCore.Wff.classMem (SemanticCore.Class.cv (nb095AlphaDummy553 f)) Compiler.CompactSourceSyntax.synCnnc).fv ∪ (Compiler.CompactSourceSyntax.synCplc (SemanticCore.Class.cv (nb095AlphaDummy553 f))
Compiler.CompactSourceSyntax.synC1c).fv ∪ (SemanticCore.Class.cv (nb095AlphaDummy553 f)).fv
theorem
NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb095_support_mem_0572
(D R S_cls E : SemanticCore.Class)
:
nb095AlphaDummy551 D R S_cls E ∈ (SemanticCore.Class.cv (nb095AlphaDummy551 D R S_cls E)).fv ∪ Compiler.CompactSourceSyntax.synC1c.fv
theorem
NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb095_support_mem_0574
(D R S_cls E : SemanticCore.Class)
:
nb095AlphaDummy558 D R S_cls E ∈ (Compiler.CompactSourceSyntax.synCnin (SemanticCore.Class.cv (nb095AlphaDummy558 D R S_cls E))
(SemanticCore.Class.cv (nb095AlphaDummy559 D R S_cls E))).fv ∪ (Compiler.CompactSourceSyntax.synCnin (SemanticCore.Class.cv (nb095AlphaDummy558 D R S_cls E))
(SemanticCore.Class.cv (nb095AlphaDummy559 D R S_cls E))).fv
theorem
NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb095_support_mem_0576
(D R S_cls E : SemanticCore.Class)
:
nb095AlphaDummy558 D R S_cls E ∈ (SemanticCore.Class.cv (nb095AlphaDummy558 D R S_cls E)).fv ∪ (SemanticCore.Class.cv (nb095AlphaDummy559 D R S_cls E)).fv
theorem
NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb095_support_mem_0578
(D R S_cls E : SemanticCore.Class)
:
nb095AlphaDummy559 D R S_cls E ∈ (Compiler.CompactSourceSyntax.synCnin (SemanticCore.Class.cv (nb095AlphaDummy558 D R S_cls E))
(SemanticCore.Class.cv (nb095AlphaDummy559 D R S_cls E))).fv ∪ (Compiler.CompactSourceSyntax.synCnin (SemanticCore.Class.cv (nb095AlphaDummy558 D R S_cls E))
(SemanticCore.Class.cv (nb095AlphaDummy559 D R S_cls E))).fv
theorem
NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb095_support_mem_0580
(D R S_cls E : SemanticCore.Class)
:
nb095AlphaDummy559 D R S_cls E ∈ (SemanticCore.Class.cv (nb095AlphaDummy558 D R S_cls E)).fv ∪ (SemanticCore.Class.cv (nb095AlphaDummy559 D R S_cls E)).fv
theorem
NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb095_support_mem_0582
(D R S_cls E : SemanticCore.Class)
:
nb095AlphaDummy558 D R S_cls E ∈ (Compiler.CompactSourceSyntax.synCcompl (SemanticCore.Class.cv (nb095AlphaDummy558 D R S_cls E))).fv ∪ (Compiler.CompactSourceSyntax.synCcompl (SemanticCore.Class.cv (nb095AlphaDummy559 D R S_cls E))).fv
theorem
NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb095_support_mem_0584
(D R S_cls E : SemanticCore.Class)
:
nb095AlphaDummy558 D R S_cls E ∈ (SemanticCore.Class.cv (nb095AlphaDummy558 D R S_cls E)).fv ∪ (SemanticCore.Class.cv (nb095AlphaDummy558 D R S_cls E)).fv
theorem
NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb095_support_mem_0586
(D R S_cls E : SemanticCore.Class)
:
nb095AlphaDummy559 D R S_cls E ∈ (Compiler.CompactSourceSyntax.synCcompl (SemanticCore.Class.cv (nb095AlphaDummy558 D R S_cls E))).fv ∪ (Compiler.CompactSourceSyntax.synCcompl (SemanticCore.Class.cv (nb095AlphaDummy559 D R S_cls E))).fv
theorem
NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb095_support_mem_0588
(D R S_cls E : SemanticCore.Class)
:
nb095AlphaDummy559 D R S_cls E ∈ (SemanticCore.Class.cv (nb095AlphaDummy559 D R S_cls E)).fv ∪ (SemanticCore.Class.cv (nb095AlphaDummy559 D R S_cls E)).fv
theorem
NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb095_support_mem_0590
(D R S_cls E : SemanticCore.Class)
:
nb095AlphaDummy386 D R S_cls E ∈ (SemanticCore.Class.cv (nb095AlphaDummy387 D R S_cls E)).fv ∪ (SemanticCore.Class.cv (nb095AlphaDummy386 D R S_cls E)).fv
theorem
NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb095_support_mem_0591
(D R S_cls E : SemanticCore.Class)
:
nb095AlphaDummy386 D R S_cls E ∈ (Compiler.CompactSourceSyntax.synCcompl
(SemanticCore.Class.cab (nb095AlphaDummy543 D R S_cls E)
(Compiler.CompactSourceSyntax.synWrex (nb095AlphaDummy544 D R S_cls E)
(SemanticCore.Class.cv (nb095AlphaDummy387 D R S_cls E))
(SemanticCore.Wff.classEq (SemanticCore.Class.cv (nb095AlphaDummy543 D R S_cls E))
(Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv (nb095AlphaDummy544 D R S_cls E))))))).fv ∪ (Compiler.CompactSourceSyntax.synCcompl
(SemanticCore.Class.cab (nb095AlphaDummy543 D R S_cls E)
(Compiler.CompactSourceSyntax.synWrex (nb095AlphaDummy544 D R S_cls E)
(SemanticCore.Class.cv (nb095AlphaDummy386 D R S_cls E))
(SemanticCore.Wff.classEq (SemanticCore.Class.cv (nb095AlphaDummy543 D R S_cls E))
(Compiler.CompactSourceSyntax.synCun
(Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv (nb095AlphaDummy544 D R S_cls E)))
(Compiler.CompactSourceSyntax.synCsn Compiler.CompactSourceSyntax.synC0c)))))).fv
theorem
NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb095_support_mem_0593
(f : SemanticCore.Var)
:
nb095AlphaDummy389 f ∈ (Compiler.CompactSourceSyntax.synCcompl
(SemanticCore.Class.cab (nb095AlphaDummy545 f)
(Compiler.CompactSourceSyntax.synWrex (nb095AlphaDummy546 f) (SemanticCore.Class.cv (nb095AlphaDummy390 f))
(SemanticCore.Wff.classEq (SemanticCore.Class.cv (nb095AlphaDummy545 f))
(Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv (nb095AlphaDummy546 f))))))).fv ∪ (Compiler.CompactSourceSyntax.synCcompl
(SemanticCore.Class.cab (nb095AlphaDummy545 f)
(Compiler.CompactSourceSyntax.synWrex (nb095AlphaDummy546 f) (SemanticCore.Class.cv (nb095AlphaDummy389 f))
(SemanticCore.Wff.classEq (SemanticCore.Class.cv (nb095AlphaDummy545 f))
(Compiler.CompactSourceSyntax.synCun
(Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv (nb095AlphaDummy546 f)))
(Compiler.CompactSourceSyntax.synCsn Compiler.CompactSourceSyntax.synC0c)))))).fv
theorem
NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb095_support_mem_0594
(D R S_cls E : SemanticCore.Class)
:
nb095AlphaDummy386 D R S_cls E ∈ (SemanticCore.Class.cab (nb095AlphaDummy543 D R S_cls E)
(Compiler.CompactSourceSyntax.synWrex (nb095AlphaDummy544 D R S_cls E)
(SemanticCore.Class.cv (nb095AlphaDummy386 D R S_cls E))
(SemanticCore.Wff.classEq (SemanticCore.Class.cv (nb095AlphaDummy543 D R S_cls E))
(Compiler.CompactSourceSyntax.synCun
(Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv (nb095AlphaDummy544 D R S_cls E)))
(Compiler.CompactSourceSyntax.synCsn Compiler.CompactSourceSyntax.synC0c))))).fv ∪ (SemanticCore.Class.cab (nb095AlphaDummy543 D R S_cls E)
(Compiler.CompactSourceSyntax.synWrex (nb095AlphaDummy544 D R S_cls E)
(SemanticCore.Class.cv (nb095AlphaDummy386 D R S_cls E))
(SemanticCore.Wff.classEq (SemanticCore.Class.cv (nb095AlphaDummy543 D R S_cls E))
(Compiler.CompactSourceSyntax.synCun
(Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv (nb095AlphaDummy544 D R S_cls E)))
(Compiler.CompactSourceSyntax.synCsn Compiler.CompactSourceSyntax.synC0c))))).fv
theorem
NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb095_support_mem_0595
(f : SemanticCore.Var)
:
nb095AlphaDummy389 f ∈ (SemanticCore.Class.cab (nb095AlphaDummy545 f)
(Compiler.CompactSourceSyntax.synWrex (nb095AlphaDummy546 f) (SemanticCore.Class.cv (nb095AlphaDummy389 f))
(SemanticCore.Wff.classEq (SemanticCore.Class.cv (nb095AlphaDummy545 f))
(Compiler.CompactSourceSyntax.synCun
(Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv (nb095AlphaDummy546 f)))
(Compiler.CompactSourceSyntax.synCsn Compiler.CompactSourceSyntax.synC0c))))).fv ∪ (SemanticCore.Class.cab (nb095AlphaDummy545 f)
(Compiler.CompactSourceSyntax.synWrex (nb095AlphaDummy546 f) (SemanticCore.Class.cv (nb095AlphaDummy389 f))
(SemanticCore.Wff.classEq (SemanticCore.Class.cv (nb095AlphaDummy545 f))
(Compiler.CompactSourceSyntax.synCun
(Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv (nb095AlphaDummy546 f)))
(Compiler.CompactSourceSyntax.synCsn Compiler.CompactSourceSyntax.synC0c))))).fv
theorem
NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb095_support_mem_0596
(D R S_cls E : SemanticCore.Class)
:
theorem
NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb095_support_mem_0598
(D R S_cls E : SemanticCore.Class)
:
nb095AlphaDummy544 D R S_cls E ∈ (Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv (nb095AlphaDummy544 D R S_cls E))).fv ∪ (Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv (nb095AlphaDummy544 D R S_cls E))).fv
theorem
NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb095_support_mem_0600
(D R S_cls E : SemanticCore.Class)
:
nb095AlphaDummy002 D R S_cls E ∈ (SemanticCore.Class.cv (nb095AlphaDummy000 D R S_cls E)).fv ∪ (Compiler.CompactSourceSyntax.synCin R
(Compiler.CompactSourceSyntax.synCxp
(Compiler.CompactSourceSyntax.synCin D
(Compiler.CompactSourceSyntax.synCima
(Compiler.CompactSourceSyntax.synCcnv
(Compiler.CompactSourceSyntax.synCdif R Compiler.CompactSourceSyntax.synCid))
(Compiler.CompactSourceSyntax.synCsn (SemanticCore.Class.cv (nb095AlphaDummy002 D R S_cls E)))))
(Compiler.CompactSourceSyntax.synCin D
(Compiler.CompactSourceSyntax.synCima
(Compiler.CompactSourceSyntax.synCcnv
(Compiler.CompactSourceSyntax.synCdif R Compiler.CompactSourceSyntax.synCid))
(Compiler.CompactSourceSyntax.synCsn
(SemanticCore.Class.cv (nb095AlphaDummy002 D R S_cls E))))))).fv ∪ (Compiler.CompactSourceSyntax.synCin S_cls
(Compiler.CompactSourceSyntax.synCxp
(Compiler.CompactSourceSyntax.synCin E
(Compiler.CompactSourceSyntax.synCima
(Compiler.CompactSourceSyntax.synCcnv
(Compiler.CompactSourceSyntax.synCdif S_cls Compiler.CompactSourceSyntax.synCid))
(Compiler.CompactSourceSyntax.synCsn (SemanticCore.Class.cv (nb095AlphaDummy001 D R S_cls E)))))
(Compiler.CompactSourceSyntax.synCin E
(Compiler.CompactSourceSyntax.synCima
(Compiler.CompactSourceSyntax.synCcnv
(Compiler.CompactSourceSyntax.synCdif S_cls Compiler.CompactSourceSyntax.synCid))
(Compiler.CompactSourceSyntax.synCsn
(SemanticCore.Class.cv (nb095AlphaDummy001 D R S_cls E))))))).fv ∪ (Compiler.CompactSourceSyntax.synCin D
(Compiler.CompactSourceSyntax.synCima
(Compiler.CompactSourceSyntax.synCcnv
(Compiler.CompactSourceSyntax.synCdif R Compiler.CompactSourceSyntax.synCid))
(Compiler.CompactSourceSyntax.synCsn (SemanticCore.Class.cv (nb095AlphaDummy002 D R S_cls E))))).fv ∪ (Compiler.CompactSourceSyntax.synCin E
(Compiler.CompactSourceSyntax.synCima
(Compiler.CompactSourceSyntax.synCcnv
(Compiler.CompactSourceSyntax.synCdif S_cls Compiler.CompactSourceSyntax.synCid))
(Compiler.CompactSourceSyntax.synCsn (SemanticCore.Class.cv (nb095AlphaDummy001 D R S_cls E))))).fv
theorem
NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb095_support_mem_0601
(x u : SemanticCore.Var)
(D R S_cls : SemanticCore.Class)
(f : SemanticCore.Var)
(E : SemanticCore.Class)
:
x ∈ (SemanticCore.Class.cv f).fv ∪ (Compiler.CompactSourceSyntax.synCin R
(Compiler.CompactSourceSyntax.synCxp
(Compiler.CompactSourceSyntax.synCin D
(Compiler.CompactSourceSyntax.synCima
(Compiler.CompactSourceSyntax.synCcnv
(Compiler.CompactSourceSyntax.synCdif R Compiler.CompactSourceSyntax.synCid))
(Compiler.CompactSourceSyntax.synCsn (SemanticCore.Class.cv x))))
(Compiler.CompactSourceSyntax.synCin D
(Compiler.CompactSourceSyntax.synCima
(Compiler.CompactSourceSyntax.synCcnv
(Compiler.CompactSourceSyntax.synCdif R Compiler.CompactSourceSyntax.synCid))
(Compiler.CompactSourceSyntax.synCsn (SemanticCore.Class.cv x)))))).fv ∪ (Compiler.CompactSourceSyntax.synCin S_cls
(Compiler.CompactSourceSyntax.synCxp
(Compiler.CompactSourceSyntax.synCin E
(Compiler.CompactSourceSyntax.synCima
(Compiler.CompactSourceSyntax.synCcnv
(Compiler.CompactSourceSyntax.synCdif S_cls Compiler.CompactSourceSyntax.synCid))
(Compiler.CompactSourceSyntax.synCsn (SemanticCore.Class.cv u))))
(Compiler.CompactSourceSyntax.synCin E
(Compiler.CompactSourceSyntax.synCima
(Compiler.CompactSourceSyntax.synCcnv
(Compiler.CompactSourceSyntax.synCdif S_cls Compiler.CompactSourceSyntax.synCid))
(Compiler.CompactSourceSyntax.synCsn (SemanticCore.Class.cv u)))))).fv ∪ (Compiler.CompactSourceSyntax.synCin D
(Compiler.CompactSourceSyntax.synCima
(Compiler.CompactSourceSyntax.synCcnv
(Compiler.CompactSourceSyntax.synCdif R Compiler.CompactSourceSyntax.synCid))
(Compiler.CompactSourceSyntax.synCsn (SemanticCore.Class.cv x)))).fv ∪ (Compiler.CompactSourceSyntax.synCin E
(Compiler.CompactSourceSyntax.synCima
(Compiler.CompactSourceSyntax.synCcnv
(Compiler.CompactSourceSyntax.synCdif S_cls Compiler.CompactSourceSyntax.synCid))
(Compiler.CompactSourceSyntax.synCsn (SemanticCore.Class.cv u)))).fv
theorem
NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb095_support_mem_0602
(D R S_cls E : SemanticCore.Class)
:
nb095AlphaDummy003 D R S_cls E ∈ (SemanticCore.Class.cv (nb095AlphaDummy003 D R S_cls E)).fv ∪ (SemanticCore.Class.cv (nb095AlphaDummy004 D R S_cls E)).fv
theorem
NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb095_support_mem_0603
(D R S_cls E : SemanticCore.Class)
:
nb095AlphaDummy003 D R S_cls E ∈ (Compiler.CompactSourceSyntax.synCcompl
(SemanticCore.Class.cab (nb095AlphaDummy579 D R S_cls E)
(Compiler.CompactSourceSyntax.synWrex (nb095AlphaDummy580 D R S_cls E)
(SemanticCore.Class.cv (nb095AlphaDummy003 D R S_cls E))
(SemanticCore.Wff.classEq (SemanticCore.Class.cv (nb095AlphaDummy579 D R S_cls E))
(Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv (nb095AlphaDummy580 D R S_cls E))))))).fv ∪ (Compiler.CompactSourceSyntax.synCcompl
(SemanticCore.Class.cab (nb095AlphaDummy579 D R S_cls E)
(Compiler.CompactSourceSyntax.synWrex (nb095AlphaDummy580 D R S_cls E)
(SemanticCore.Class.cv (nb095AlphaDummy004 D R S_cls E))
(SemanticCore.Wff.classEq (SemanticCore.Class.cv (nb095AlphaDummy579 D R S_cls E))
(Compiler.CompactSourceSyntax.synCun
(Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv (nb095AlphaDummy580 D R S_cls E)))
(Compiler.CompactSourceSyntax.synCsn Compiler.CompactSourceSyntax.synC0c)))))).fv
theorem
NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb095_support_mem_0604
(x u : SemanticCore.Var)
(D R S_cls : SemanticCore.Class)
(f : SemanticCore.Var)
(E : SemanticCore.Class)
:
nb095AlphaDummy005 x u D R S_cls f E ∈ (SemanticCore.Class.cv (nb095AlphaDummy005 x u D R S_cls f E)).fv ∪ (SemanticCore.Class.cv (nb095AlphaDummy006 x u D R S_cls f E)).fv
theorem
NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb095_support_mem_0605
(x u : SemanticCore.Var)
(D R S_cls : SemanticCore.Class)
(f : SemanticCore.Var)
(E : SemanticCore.Class)
:
nb095AlphaDummy005 x u D R S_cls f E ∈ (Compiler.CompactSourceSyntax.synCcompl
(SemanticCore.Class.cab (nb095AlphaDummy581 x u D R S_cls f E)
(Compiler.CompactSourceSyntax.synWrex (nb095AlphaDummy582 x u D R S_cls f E)
(SemanticCore.Class.cv (nb095AlphaDummy005 x u D R S_cls f E))
(SemanticCore.Wff.classEq (SemanticCore.Class.cv (nb095AlphaDummy581 x u D R S_cls f E))
(Compiler.CompactSourceSyntax.synCphi
(SemanticCore.Class.cv (nb095AlphaDummy582 x u D R S_cls f E))))))).fv ∪ (Compiler.CompactSourceSyntax.synCcompl
(SemanticCore.Class.cab (nb095AlphaDummy581 x u D R S_cls f E)
(Compiler.CompactSourceSyntax.synWrex (nb095AlphaDummy582 x u D R S_cls f E)
(SemanticCore.Class.cv (nb095AlphaDummy006 x u D R S_cls f E))
(SemanticCore.Wff.classEq (SemanticCore.Class.cv (nb095AlphaDummy581 x u D R S_cls f E))
(Compiler.CompactSourceSyntax.synCun
(Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv (nb095AlphaDummy582 x u D R S_cls f E)))
(Compiler.CompactSourceSyntax.synCsn Compiler.CompactSourceSyntax.synC0c)))))).fv
theorem
NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb095_support_mem_0606
(D R S_cls E : SemanticCore.Class)
:
nb095AlphaDummy003 D R S_cls E ∈ (SemanticCore.Class.cab (nb095AlphaDummy579 D R S_cls E)
(Compiler.CompactSourceSyntax.synWrex (nb095AlphaDummy580 D R S_cls E)
(SemanticCore.Class.cv (nb095AlphaDummy003 D R S_cls E))
(SemanticCore.Wff.classEq (SemanticCore.Class.cv (nb095AlphaDummy579 D R S_cls E))
(Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv (nb095AlphaDummy580 D R S_cls E)))))).fv ∪ (SemanticCore.Class.cab (nb095AlphaDummy579 D R S_cls E)
(Compiler.CompactSourceSyntax.synWrex (nb095AlphaDummy580 D R S_cls E)
(SemanticCore.Class.cv (nb095AlphaDummy003 D R S_cls E))
(SemanticCore.Wff.classEq (SemanticCore.Class.cv (nb095AlphaDummy579 D R S_cls E))
(Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv (nb095AlphaDummy580 D R S_cls E)))))).fv
theorem
NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb095_support_mem_0607
(x u : SemanticCore.Var)
(D R S_cls : SemanticCore.Class)
(f : SemanticCore.Var)
(E : SemanticCore.Class)
:
nb095AlphaDummy005 x u D R S_cls f E ∈ (SemanticCore.Class.cab (nb095AlphaDummy581 x u D R S_cls f E)
(Compiler.CompactSourceSyntax.synWrex (nb095AlphaDummy582 x u D R S_cls f E)
(SemanticCore.Class.cv (nb095AlphaDummy005 x u D R S_cls f E))
(SemanticCore.Wff.classEq (SemanticCore.Class.cv (nb095AlphaDummy581 x u D R S_cls f E))
(Compiler.CompactSourceSyntax.synCphi
(SemanticCore.Class.cv (nb095AlphaDummy582 x u D R S_cls f E)))))).fv ∪ (SemanticCore.Class.cab (nb095AlphaDummy581 x u D R S_cls f E)
(Compiler.CompactSourceSyntax.synWrex (nb095AlphaDummy582 x u D R S_cls f E)
(SemanticCore.Class.cv (nb095AlphaDummy005 x u D R S_cls f E))
(SemanticCore.Wff.classEq (SemanticCore.Class.cv (nb095AlphaDummy581 x u D R S_cls f E))
(Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv (nb095AlphaDummy582 x u D R S_cls f E)))))).fv
theorem
NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb095_support_mem_0608
(D R S_cls E : SemanticCore.Class)
:
theorem
NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb095_support_mem_0609
(x u : SemanticCore.Var)
(D R S_cls : SemanticCore.Class)
(f : SemanticCore.Var)
(E : SemanticCore.Class)
:
nb095AlphaDummy582 x u D R S_cls f E ∈ (SemanticCore.Class.cv (nb095AlphaDummy582 x u D R S_cls f E)).fv
theorem
NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb095_support_mem_0610
(D R S_cls E : SemanticCore.Class)
:
nb095AlphaDummy587 D R S_cls E ∈ (SemanticCore.Wff.classMem (SemanticCore.Class.cv (nb095AlphaDummy587 D R S_cls E))
Compiler.CompactSourceSyntax.synCnnc).fv ∪ (Compiler.CompactSourceSyntax.synCplc (SemanticCore.Class.cv (nb095AlphaDummy587 D R S_cls E))
Compiler.CompactSourceSyntax.synC1c).fv ∪ (SemanticCore.Class.cv (nb095AlphaDummy587 D R S_cls E)).fv
theorem
NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb095_support_mem_0611
(x u : SemanticCore.Var)
(D R S_cls : SemanticCore.Class)
(f : SemanticCore.Var)
(E : SemanticCore.Class)
:
nb095AlphaDummy589 x u D R S_cls f E ∈ (SemanticCore.Wff.classMem (SemanticCore.Class.cv (nb095AlphaDummy589 x u D R S_cls f E))
Compiler.CompactSourceSyntax.synCnnc).fv ∪ (Compiler.CompactSourceSyntax.synCplc (SemanticCore.Class.cv (nb095AlphaDummy589 x u D R S_cls f E))
Compiler.CompactSourceSyntax.synC1c).fv ∪ (SemanticCore.Class.cv (nb095AlphaDummy589 x u D R S_cls f E)).fv
theorem
NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb095_support_mem_0612
(D R S_cls E : SemanticCore.Class)
:
nb095AlphaDummy587 D R S_cls E ∈ (SemanticCore.Class.cv (nb095AlphaDummy587 D R S_cls E)).fv ∪ Compiler.CompactSourceSyntax.synC1c.fv
theorem
NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb095_support_mem_0613
(x u : SemanticCore.Var)
(D R S_cls : SemanticCore.Class)
(f : SemanticCore.Var)
(E : SemanticCore.Class)
:
nb095AlphaDummy589 x u D R S_cls f E ∈ (SemanticCore.Class.cv (nb095AlphaDummy589 x u D R S_cls f E)).fv ∪ Compiler.CompactSourceSyntax.synC1c.fv
theorem
NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb095_support_mem_0614
(D R S_cls E : SemanticCore.Class)
:
nb095AlphaDummy594 D R S_cls E ∈ (Compiler.CompactSourceSyntax.synCnin (SemanticCore.Class.cv (nb095AlphaDummy594 D R S_cls E))
(SemanticCore.Class.cv (nb095AlphaDummy595 D R S_cls E))).fv ∪ (Compiler.CompactSourceSyntax.synCnin (SemanticCore.Class.cv (nb095AlphaDummy594 D R S_cls E))
(SemanticCore.Class.cv (nb095AlphaDummy595 D R S_cls E))).fv
theorem
NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb095_support_mem_0615
(x u : SemanticCore.Var)
(D R S_cls : SemanticCore.Class)
(f : SemanticCore.Var)
(E : SemanticCore.Class)
:
nb095AlphaDummy597 x u D R S_cls f E ∈ (Compiler.CompactSourceSyntax.synCnin (SemanticCore.Class.cv (nb095AlphaDummy597 x u D R S_cls f E))
(SemanticCore.Class.cv (nb095AlphaDummy598 x u D R S_cls f E))).fv ∪ (Compiler.CompactSourceSyntax.synCnin (SemanticCore.Class.cv (nb095AlphaDummy597 x u D R S_cls f E))
(SemanticCore.Class.cv (nb095AlphaDummy598 x u D R S_cls f E))).fv
theorem
NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb095_support_mem_0616
(D R S_cls E : SemanticCore.Class)
:
nb095AlphaDummy594 D R S_cls E ∈ (SemanticCore.Class.cv (nb095AlphaDummy594 D R S_cls E)).fv ∪ (SemanticCore.Class.cv (nb095AlphaDummy595 D R S_cls E)).fv
theorem
NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb095_support_mem_0617
(x u : SemanticCore.Var)
(D R S_cls : SemanticCore.Class)
(f : SemanticCore.Var)
(E : SemanticCore.Class)
:
nb095AlphaDummy597 x u D R S_cls f E ∈ (SemanticCore.Class.cv (nb095AlphaDummy597 x u D R S_cls f E)).fv ∪ (SemanticCore.Class.cv (nb095AlphaDummy598 x u D R S_cls f E)).fv
theorem
NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb095_support_mem_0618
(D R S_cls E : SemanticCore.Class)
:
nb095AlphaDummy595 D R S_cls E ∈ (Compiler.CompactSourceSyntax.synCnin (SemanticCore.Class.cv (nb095AlphaDummy594 D R S_cls E))
(SemanticCore.Class.cv (nb095AlphaDummy595 D R S_cls E))).fv ∪ (Compiler.CompactSourceSyntax.synCnin (SemanticCore.Class.cv (nb095AlphaDummy594 D R S_cls E))
(SemanticCore.Class.cv (nb095AlphaDummy595 D R S_cls E))).fv
theorem
NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb095_support_mem_0619
(x u : SemanticCore.Var)
(D R S_cls : SemanticCore.Class)
(f : SemanticCore.Var)
(E : SemanticCore.Class)
:
nb095AlphaDummy598 x u D R S_cls f E ∈ (Compiler.CompactSourceSyntax.synCnin (SemanticCore.Class.cv (nb095AlphaDummy597 x u D R S_cls f E))
(SemanticCore.Class.cv (nb095AlphaDummy598 x u D R S_cls f E))).fv ∪ (Compiler.CompactSourceSyntax.synCnin (SemanticCore.Class.cv (nb095AlphaDummy597 x u D R S_cls f E))
(SemanticCore.Class.cv (nb095AlphaDummy598 x u D R S_cls f E))).fv
theorem
NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb095_support_mem_0620
(D R S_cls E : SemanticCore.Class)
:
nb095AlphaDummy595 D R S_cls E ∈ (SemanticCore.Class.cv (nb095AlphaDummy594 D R S_cls E)).fv ∪ (SemanticCore.Class.cv (nb095AlphaDummy595 D R S_cls E)).fv
theorem
NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb095_support_mem_0621
(x u : SemanticCore.Var)
(D R S_cls : SemanticCore.Class)
(f : SemanticCore.Var)
(E : SemanticCore.Class)
:
nb095AlphaDummy598 x u D R S_cls f E ∈ (SemanticCore.Class.cv (nb095AlphaDummy597 x u D R S_cls f E)).fv ∪ (SemanticCore.Class.cv (nb095AlphaDummy598 x u D R S_cls f E)).fv
theorem
NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb095_support_mem_0622
(D R S_cls E : SemanticCore.Class)
:
nb095AlphaDummy594 D R S_cls E ∈ (Compiler.CompactSourceSyntax.synCcompl (SemanticCore.Class.cv (nb095AlphaDummy594 D R S_cls E))).fv ∪ (Compiler.CompactSourceSyntax.synCcompl (SemanticCore.Class.cv (nb095AlphaDummy595 D R S_cls E))).fv
theorem
NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb095_support_mem_0623
(x u : SemanticCore.Var)
(D R S_cls : SemanticCore.Class)
(f : SemanticCore.Var)
(E : SemanticCore.Class)
:
nb095AlphaDummy597 x u D R S_cls f E ∈ (Compiler.CompactSourceSyntax.synCcompl (SemanticCore.Class.cv (nb095AlphaDummy597 x u D R S_cls f E))).fv ∪ (Compiler.CompactSourceSyntax.synCcompl (SemanticCore.Class.cv (nb095AlphaDummy598 x u D R S_cls f E))).fv
theorem
NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb095_support_mem_0624
(D R S_cls E : SemanticCore.Class)
:
nb095AlphaDummy594 D R S_cls E ∈ (SemanticCore.Class.cv (nb095AlphaDummy594 D R S_cls E)).fv ∪ (SemanticCore.Class.cv (nb095AlphaDummy594 D R S_cls E)).fv
theorem
NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb095_support_mem_0625
(x u : SemanticCore.Var)
(D R S_cls : SemanticCore.Class)
(f : SemanticCore.Var)
(E : SemanticCore.Class)
:
nb095AlphaDummy597 x u D R S_cls f E ∈ (SemanticCore.Class.cv (nb095AlphaDummy597 x u D R S_cls f E)).fv ∪ (SemanticCore.Class.cv (nb095AlphaDummy597 x u D R S_cls f E)).fv
theorem
NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb095_support_mem_0626
(D R S_cls E : SemanticCore.Class)
:
nb095AlphaDummy595 D R S_cls E ∈ (Compiler.CompactSourceSyntax.synCcompl (SemanticCore.Class.cv (nb095AlphaDummy594 D R S_cls E))).fv ∪ (Compiler.CompactSourceSyntax.synCcompl (SemanticCore.Class.cv (nb095AlphaDummy595 D R S_cls E))).fv
theorem
NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb095_support_mem_0627
(x u : SemanticCore.Var)
(D R S_cls : SemanticCore.Class)
(f : SemanticCore.Var)
(E : SemanticCore.Class)
:
nb095AlphaDummy598 x u D R S_cls f E ∈ (Compiler.CompactSourceSyntax.synCcompl (SemanticCore.Class.cv (nb095AlphaDummy597 x u D R S_cls f E))).fv ∪ (Compiler.CompactSourceSyntax.synCcompl (SemanticCore.Class.cv (nb095AlphaDummy598 x u D R S_cls f E))).fv
theorem
NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb095_support_mem_0628
(D R S_cls E : SemanticCore.Class)
:
nb095AlphaDummy595 D R S_cls E ∈ (SemanticCore.Class.cv (nb095AlphaDummy595 D R S_cls E)).fv ∪ (SemanticCore.Class.cv (nb095AlphaDummy595 D R S_cls E)).fv
theorem
NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb095_support_mem_0629
(x u : SemanticCore.Var)
(D R S_cls : SemanticCore.Class)
(f : SemanticCore.Var)
(E : SemanticCore.Class)
:
nb095AlphaDummy598 x u D R S_cls f E ∈ (SemanticCore.Class.cv (nb095AlphaDummy598 x u D R S_cls f E)).fv ∪ (SemanticCore.Class.cv (nb095AlphaDummy598 x u D R S_cls f E)).fv
theorem
NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb095_support_mem_0630
(D R S_cls E : SemanticCore.Class)
:
nb095AlphaDummy004 D R S_cls E ∈ (SemanticCore.Class.cv (nb095AlphaDummy003 D R S_cls E)).fv ∪ (SemanticCore.Class.cv (nb095AlphaDummy004 D R S_cls E)).fv
theorem
NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb095_support_mem_0631
(D R S_cls E : SemanticCore.Class)
:
nb095AlphaDummy004 D R S_cls E ∈ (Compiler.CompactSourceSyntax.synCcompl
(SemanticCore.Class.cab (nb095AlphaDummy579 D R S_cls E)
(Compiler.CompactSourceSyntax.synWrex (nb095AlphaDummy580 D R S_cls E)
(SemanticCore.Class.cv (nb095AlphaDummy003 D R S_cls E))
(SemanticCore.Wff.classEq (SemanticCore.Class.cv (nb095AlphaDummy579 D R S_cls E))
(Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv (nb095AlphaDummy580 D R S_cls E))))))).fv ∪ (Compiler.CompactSourceSyntax.synCcompl
(SemanticCore.Class.cab (nb095AlphaDummy579 D R S_cls E)
(Compiler.CompactSourceSyntax.synWrex (nb095AlphaDummy580 D R S_cls E)
(SemanticCore.Class.cv (nb095AlphaDummy004 D R S_cls E))
(SemanticCore.Wff.classEq (SemanticCore.Class.cv (nb095AlphaDummy579 D R S_cls E))
(Compiler.CompactSourceSyntax.synCun
(Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv (nb095AlphaDummy580 D R S_cls E)))
(Compiler.CompactSourceSyntax.synCsn Compiler.CompactSourceSyntax.synC0c)))))).fv
theorem
NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb095_support_mem_0632
(x u : SemanticCore.Var)
(D R S_cls : SemanticCore.Class)
(f : SemanticCore.Var)
(E : SemanticCore.Class)
:
nb095AlphaDummy006 x u D R S_cls f E ∈ (SemanticCore.Class.cv (nb095AlphaDummy005 x u D R S_cls f E)).fv ∪ (SemanticCore.Class.cv (nb095AlphaDummy006 x u D R S_cls f E)).fv
theorem
NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb095_support_mem_0633
(x u : SemanticCore.Var)
(D R S_cls : SemanticCore.Class)
(f : SemanticCore.Var)
(E : SemanticCore.Class)
:
nb095AlphaDummy006 x u D R S_cls f E ∈ (Compiler.CompactSourceSyntax.synCcompl
(SemanticCore.Class.cab (nb095AlphaDummy581 x u D R S_cls f E)
(Compiler.CompactSourceSyntax.synWrex (nb095AlphaDummy582 x u D R S_cls f E)
(SemanticCore.Class.cv (nb095AlphaDummy005 x u D R S_cls f E))
(SemanticCore.Wff.classEq (SemanticCore.Class.cv (nb095AlphaDummy581 x u D R S_cls f E))
(Compiler.CompactSourceSyntax.synCphi
(SemanticCore.Class.cv (nb095AlphaDummy582 x u D R S_cls f E))))))).fv ∪ (Compiler.CompactSourceSyntax.synCcompl
(SemanticCore.Class.cab (nb095AlphaDummy581 x u D R S_cls f E)
(Compiler.CompactSourceSyntax.synWrex (nb095AlphaDummy582 x u D R S_cls f E)
(SemanticCore.Class.cv (nb095AlphaDummy006 x u D R S_cls f E))
(SemanticCore.Wff.classEq (SemanticCore.Class.cv (nb095AlphaDummy581 x u D R S_cls f E))
(Compiler.CompactSourceSyntax.synCun
(Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv (nb095AlphaDummy582 x u D R S_cls f E)))
(Compiler.CompactSourceSyntax.synCsn Compiler.CompactSourceSyntax.synC0c)))))).fv
theorem
NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb095_support_mem_0634
(D R S_cls E : SemanticCore.Class)
:
nb095AlphaDummy004 D R S_cls E ∈ (SemanticCore.Class.cab (nb095AlphaDummy579 D R S_cls E)
(Compiler.CompactSourceSyntax.synWrex (nb095AlphaDummy580 D R S_cls E)
(SemanticCore.Class.cv (nb095AlphaDummy004 D R S_cls E))
(SemanticCore.Wff.classEq (SemanticCore.Class.cv (nb095AlphaDummy579 D R S_cls E))
(Compiler.CompactSourceSyntax.synCun
(Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv (nb095AlphaDummy580 D R S_cls E)))
(Compiler.CompactSourceSyntax.synCsn Compiler.CompactSourceSyntax.synC0c))))).fv ∪ (SemanticCore.Class.cab (nb095AlphaDummy579 D R S_cls E)
(Compiler.CompactSourceSyntax.synWrex (nb095AlphaDummy580 D R S_cls E)
(SemanticCore.Class.cv (nb095AlphaDummy004 D R S_cls E))
(SemanticCore.Wff.classEq (SemanticCore.Class.cv (nb095AlphaDummy579 D R S_cls E))
(Compiler.CompactSourceSyntax.synCun
(Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv (nb095AlphaDummy580 D R S_cls E)))
(Compiler.CompactSourceSyntax.synCsn Compiler.CompactSourceSyntax.synC0c))))).fv
theorem
NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb095_support_mem_0635
(x u : SemanticCore.Var)
(D R S_cls : SemanticCore.Class)
(f : SemanticCore.Var)
(E : SemanticCore.Class)
:
nb095AlphaDummy006 x u D R S_cls f E ∈ (SemanticCore.Class.cab (nb095AlphaDummy581 x u D R S_cls f E)
(Compiler.CompactSourceSyntax.synWrex (nb095AlphaDummy582 x u D R S_cls f E)
(SemanticCore.Class.cv (nb095AlphaDummy006 x u D R S_cls f E))
(SemanticCore.Wff.classEq (SemanticCore.Class.cv (nb095AlphaDummy581 x u D R S_cls f E))
(Compiler.CompactSourceSyntax.synCun
(Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv (nb095AlphaDummy582 x u D R S_cls f E)))
(Compiler.CompactSourceSyntax.synCsn Compiler.CompactSourceSyntax.synC0c))))).fv ∪ (SemanticCore.Class.cab (nb095AlphaDummy581 x u D R S_cls f E)
(Compiler.CompactSourceSyntax.synWrex (nb095AlphaDummy582 x u D R S_cls f E)
(SemanticCore.Class.cv (nb095AlphaDummy006 x u D R S_cls f E))
(SemanticCore.Wff.classEq (SemanticCore.Class.cv (nb095AlphaDummy581 x u D R S_cls f E))
(Compiler.CompactSourceSyntax.synCun
(Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv (nb095AlphaDummy582 x u D R S_cls f E)))
(Compiler.CompactSourceSyntax.synCsn Compiler.CompactSourceSyntax.synC0c))))).fv
theorem
NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb095_support_mem_0636
(D R S_cls E : SemanticCore.Class)
:
theorem
NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb095_support_mem_0637
(x u : SemanticCore.Var)
(D R S_cls : SemanticCore.Class)
(f : SemanticCore.Var)
(E : SemanticCore.Class)
:
nb095AlphaDummy582 x u D R S_cls f E ∈ (Compiler.CompactSourceSyntax.synCcompl
(Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv (nb095AlphaDummy582 x u D R S_cls f E)))).fv ∪ (Compiler.CompactSourceSyntax.synCcompl
(Compiler.CompactSourceSyntax.synCsn Compiler.CompactSourceSyntax.synC0c)).fv
theorem
NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb095_support_mem_0638
(D R S_cls E : SemanticCore.Class)
:
nb095AlphaDummy580 D R S_cls E ∈ (Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv (nb095AlphaDummy580 D R S_cls E))).fv ∪ (Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv (nb095AlphaDummy580 D R S_cls E))).fv
theorem
NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb095_support_mem_0639
(x u : SemanticCore.Var)
(D R S_cls : SemanticCore.Class)
(f : SemanticCore.Var)
(E : SemanticCore.Class)
:
nb095AlphaDummy582 x u D R S_cls f E ∈ (Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv (nb095AlphaDummy582 x u D R S_cls f E))).fv ∪ (Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv (nb095AlphaDummy582 x u D R S_cls f E))).fv
theorem
NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb095_support_mem_0640
(D R S_cls E : SemanticCore.Class)
:
nb095AlphaDummy619 D R S_cls E ∈ {nb095AlphaDummy619 D R S_cls E} ∪ {nb095AlphaDummy620 D R S_cls E} ∪ (Compiler.CompactSourceSyntax.synWa
(SemanticCore.Wff.classMem (SemanticCore.Class.cv (nb095AlphaDummy619 D R S_cls E))
(Compiler.CompactSourceSyntax.synCin D
(Compiler.CompactSourceSyntax.synCima
(Compiler.CompactSourceSyntax.synCcnv
(Compiler.CompactSourceSyntax.synCdif R Compiler.CompactSourceSyntax.synCid))
(Compiler.CompactSourceSyntax.synCsn (SemanticCore.Class.cv (nb095AlphaDummy002 D R S_cls E))))))
(SemanticCore.Wff.classMem (SemanticCore.Class.cv (nb095AlphaDummy620 D R S_cls E))
(Compiler.CompactSourceSyntax.synCin D
(Compiler.CompactSourceSyntax.synCima
(Compiler.CompactSourceSyntax.synCcnv
(Compiler.CompactSourceSyntax.synCdif R Compiler.CompactSourceSyntax.synCid))
(Compiler.CompactSourceSyntax.synCsn (SemanticCore.Class.cv (nb095AlphaDummy002 D R S_cls E))))))).fv
theorem
NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb095_support_mem_0641
(x : SemanticCore.Var)
(D R : SemanticCore.Class)
:
nb095AlphaDummy621 x D R ∈ {nb095AlphaDummy621 x D R} ∪ {nb095AlphaDummy622 x D R} ∪ (Compiler.CompactSourceSyntax.synWa
(SemanticCore.Wff.classMem (SemanticCore.Class.cv (nb095AlphaDummy621 x D R))
(Compiler.CompactSourceSyntax.synCin D
(Compiler.CompactSourceSyntax.synCima
(Compiler.CompactSourceSyntax.synCcnv
(Compiler.CompactSourceSyntax.synCdif R Compiler.CompactSourceSyntax.synCid))
(Compiler.CompactSourceSyntax.synCsn (SemanticCore.Class.cv x)))))
(SemanticCore.Wff.classMem (SemanticCore.Class.cv (nb095AlphaDummy622 x D R))
(Compiler.CompactSourceSyntax.synCin D
(Compiler.CompactSourceSyntax.synCima
(Compiler.CompactSourceSyntax.synCcnv
(Compiler.CompactSourceSyntax.synCdif R Compiler.CompactSourceSyntax.synCid))
(Compiler.CompactSourceSyntax.synCsn (SemanticCore.Class.cv x)))))).fv
theorem
NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb095_support_mem_0642
(D R S_cls E : SemanticCore.Class)
:
nb095AlphaDummy620 D R S_cls E ∈ {nb095AlphaDummy619 D R S_cls E} ∪ {nb095AlphaDummy620 D R S_cls E} ∪ (Compiler.CompactSourceSyntax.synWa
(SemanticCore.Wff.classMem (SemanticCore.Class.cv (nb095AlphaDummy619 D R S_cls E))
(Compiler.CompactSourceSyntax.synCin D
(Compiler.CompactSourceSyntax.synCima
(Compiler.CompactSourceSyntax.synCcnv
(Compiler.CompactSourceSyntax.synCdif R Compiler.CompactSourceSyntax.synCid))
(Compiler.CompactSourceSyntax.synCsn (SemanticCore.Class.cv (nb095AlphaDummy002 D R S_cls E))))))
(SemanticCore.Wff.classMem (SemanticCore.Class.cv (nb095AlphaDummy620 D R S_cls E))
(Compiler.CompactSourceSyntax.synCin D
(Compiler.CompactSourceSyntax.synCima
(Compiler.CompactSourceSyntax.synCcnv
(Compiler.CompactSourceSyntax.synCdif R Compiler.CompactSourceSyntax.synCid))
(Compiler.CompactSourceSyntax.synCsn (SemanticCore.Class.cv (nb095AlphaDummy002 D R S_cls E))))))).fv
theorem
NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb095_support_mem_0643
(x : SemanticCore.Var)
(D R : SemanticCore.Class)
:
nb095AlphaDummy622 x D R ∈ {nb095AlphaDummy621 x D R} ∪ {nb095AlphaDummy622 x D R} ∪ (Compiler.CompactSourceSyntax.synWa
(SemanticCore.Wff.classMem (SemanticCore.Class.cv (nb095AlphaDummy621 x D R))
(Compiler.CompactSourceSyntax.synCin D
(Compiler.CompactSourceSyntax.synCima
(Compiler.CompactSourceSyntax.synCcnv
(Compiler.CompactSourceSyntax.synCdif R Compiler.CompactSourceSyntax.synCid))
(Compiler.CompactSourceSyntax.synCsn (SemanticCore.Class.cv x)))))
(SemanticCore.Wff.classMem (SemanticCore.Class.cv (nb095AlphaDummy622 x D R))
(Compiler.CompactSourceSyntax.synCin D
(Compiler.CompactSourceSyntax.synCima
(Compiler.CompactSourceSyntax.synCcnv
(Compiler.CompactSourceSyntax.synCdif R Compiler.CompactSourceSyntax.synCid))
(Compiler.CompactSourceSyntax.synCsn (SemanticCore.Class.cv x)))))).fv
theorem
NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb095_support_mem_0644
(D R S_cls E : SemanticCore.Class)
:
nb095AlphaDummy619 D R S_cls E ∈ (SemanticCore.Class.cv (nb095AlphaDummy619 D R S_cls E)).fv ∪ (SemanticCore.Class.cv (nb095AlphaDummy620 D R S_cls E)).fv
theorem
NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb095_support_mem_0645
(D R S_cls E : SemanticCore.Class)
:
nb095AlphaDummy619 D R S_cls E ∈ (Compiler.CompactSourceSyntax.synCcompl
(SemanticCore.Class.cab (nb095AlphaDummy625 D R S_cls E)
(Compiler.CompactSourceSyntax.synWrex (nb095AlphaDummy626 D R S_cls E)
(SemanticCore.Class.cv (nb095AlphaDummy619 D R S_cls E))
(SemanticCore.Wff.classEq (SemanticCore.Class.cv (nb095AlphaDummy625 D R S_cls E))
(Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv (nb095AlphaDummy626 D R S_cls E))))))).fv ∪ (Compiler.CompactSourceSyntax.synCcompl
(SemanticCore.Class.cab (nb095AlphaDummy625 D R S_cls E)
(Compiler.CompactSourceSyntax.synWrex (nb095AlphaDummy626 D R S_cls E)
(SemanticCore.Class.cv (nb095AlphaDummy620 D R S_cls E))
(SemanticCore.Wff.classEq (SemanticCore.Class.cv (nb095AlphaDummy625 D R S_cls E))
(Compiler.CompactSourceSyntax.synCun
(Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv (nb095AlphaDummy626 D R S_cls E)))
(Compiler.CompactSourceSyntax.synCsn Compiler.CompactSourceSyntax.synC0c)))))).fv
theorem
NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb095_support_mem_0646
(x : SemanticCore.Var)
(D R : SemanticCore.Class)
:
nb095AlphaDummy621 x D R ∈ (SemanticCore.Class.cv (nb095AlphaDummy621 x D R)).fv ∪ (SemanticCore.Class.cv (nb095AlphaDummy622 x D R)).fv
theorem
NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb095_support_mem_0647
(x : SemanticCore.Var)
(D R : SemanticCore.Class)
:
nb095AlphaDummy621 x D R ∈ (Compiler.CompactSourceSyntax.synCcompl
(SemanticCore.Class.cab (nb095AlphaDummy627 x D R)
(Compiler.CompactSourceSyntax.synWrex (nb095AlphaDummy628 x D R)
(SemanticCore.Class.cv (nb095AlphaDummy621 x D R))
(SemanticCore.Wff.classEq (SemanticCore.Class.cv (nb095AlphaDummy627 x D R))
(Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv (nb095AlphaDummy628 x D R))))))).fv ∪ (Compiler.CompactSourceSyntax.synCcompl
(SemanticCore.Class.cab (nb095AlphaDummy627 x D R)
(Compiler.CompactSourceSyntax.synWrex (nb095AlphaDummy628 x D R)
(SemanticCore.Class.cv (nb095AlphaDummy622 x D R))
(SemanticCore.Wff.classEq (SemanticCore.Class.cv (nb095AlphaDummy627 x D R))
(Compiler.CompactSourceSyntax.synCun
(Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv (nb095AlphaDummy628 x D R)))
(Compiler.CompactSourceSyntax.synCsn Compiler.CompactSourceSyntax.synC0c)))))).fv
theorem
NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb095_support_mem_0648
(D R S_cls E : SemanticCore.Class)
:
nb095AlphaDummy619 D R S_cls E ∈ (SemanticCore.Class.cab (nb095AlphaDummy625 D R S_cls E)
(Compiler.CompactSourceSyntax.synWrex (nb095AlphaDummy626 D R S_cls E)
(SemanticCore.Class.cv (nb095AlphaDummy619 D R S_cls E))
(SemanticCore.Wff.classEq (SemanticCore.Class.cv (nb095AlphaDummy625 D R S_cls E))
(Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv (nb095AlphaDummy626 D R S_cls E)))))).fv ∪ (SemanticCore.Class.cab (nb095AlphaDummy625 D R S_cls E)
(Compiler.CompactSourceSyntax.synWrex (nb095AlphaDummy626 D R S_cls E)
(SemanticCore.Class.cv (nb095AlphaDummy619 D R S_cls E))
(SemanticCore.Wff.classEq (SemanticCore.Class.cv (nb095AlphaDummy625 D R S_cls E))
(Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv (nb095AlphaDummy626 D R S_cls E)))))).fv
theorem
NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb095_support_mem_0649
(x : SemanticCore.Var)
(D R : SemanticCore.Class)
:
nb095AlphaDummy621 x D R ∈ (SemanticCore.Class.cab (nb095AlphaDummy627 x D R)
(Compiler.CompactSourceSyntax.synWrex (nb095AlphaDummy628 x D R)
(SemanticCore.Class.cv (nb095AlphaDummy621 x D R))
(SemanticCore.Wff.classEq (SemanticCore.Class.cv (nb095AlphaDummy627 x D R))
(Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv (nb095AlphaDummy628 x D R)))))).fv ∪ (SemanticCore.Class.cab (nb095AlphaDummy627 x D R)
(Compiler.CompactSourceSyntax.synWrex (nb095AlphaDummy628 x D R)
(SemanticCore.Class.cv (nb095AlphaDummy621 x D R))
(SemanticCore.Wff.classEq (SemanticCore.Class.cv (nb095AlphaDummy627 x D R))
(Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv (nb095AlphaDummy628 x D R)))))).fv
theorem
NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb095_support_mem_0650
(D R S_cls E : SemanticCore.Class)
:
theorem
NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb095_support_mem_0652
(D R S_cls E : SemanticCore.Class)
:
nb095AlphaDummy633 D R S_cls E ∈ (SemanticCore.Wff.classMem (SemanticCore.Class.cv (nb095AlphaDummy633 D R S_cls E))
Compiler.CompactSourceSyntax.synCnnc).fv ∪ (Compiler.CompactSourceSyntax.synCplc (SemanticCore.Class.cv (nb095AlphaDummy633 D R S_cls E))
Compiler.CompactSourceSyntax.synC1c).fv ∪ (SemanticCore.Class.cv (nb095AlphaDummy633 D R S_cls E)).fv
theorem
NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb095_support_mem_0653
(x : SemanticCore.Var)
(D R : SemanticCore.Class)
:
nb095AlphaDummy635 x D R ∈ (SemanticCore.Wff.classMem (SemanticCore.Class.cv (nb095AlphaDummy635 x D R))
Compiler.CompactSourceSyntax.synCnnc).fv ∪ (Compiler.CompactSourceSyntax.synCplc (SemanticCore.Class.cv (nb095AlphaDummy635 x D R))
Compiler.CompactSourceSyntax.synC1c).fv ∪ (SemanticCore.Class.cv (nb095AlphaDummy635 x D R)).fv
theorem
NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb095_support_mem_0654
(D R S_cls E : SemanticCore.Class)
:
nb095AlphaDummy633 D R S_cls E ∈ (SemanticCore.Class.cv (nb095AlphaDummy633 D R S_cls E)).fv ∪ Compiler.CompactSourceSyntax.synC1c.fv
theorem
NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb095_support_mem_0656
(D R S_cls E : SemanticCore.Class)
:
nb095AlphaDummy640 D R S_cls E ∈ (Compiler.CompactSourceSyntax.synCnin (SemanticCore.Class.cv (nb095AlphaDummy640 D R S_cls E))
(SemanticCore.Class.cv (nb095AlphaDummy641 D R S_cls E))).fv ∪ (Compiler.CompactSourceSyntax.synCnin (SemanticCore.Class.cv (nb095AlphaDummy640 D R S_cls E))
(SemanticCore.Class.cv (nb095AlphaDummy641 D R S_cls E))).fv
theorem
NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb095_support_mem_0657
(x : SemanticCore.Var)
(D R : SemanticCore.Class)
:
nb095AlphaDummy643 x D R ∈ (Compiler.CompactSourceSyntax.synCnin (SemanticCore.Class.cv (nb095AlphaDummy643 x D R))
(SemanticCore.Class.cv (nb095AlphaDummy644 x D R))).fv ∪ (Compiler.CompactSourceSyntax.synCnin (SemanticCore.Class.cv (nb095AlphaDummy643 x D R))
(SemanticCore.Class.cv (nb095AlphaDummy644 x D R))).fv
theorem
NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb095_support_mem_0658
(D R S_cls E : SemanticCore.Class)
:
nb095AlphaDummy640 D R S_cls E ∈ (SemanticCore.Class.cv (nb095AlphaDummy640 D R S_cls E)).fv ∪ (SemanticCore.Class.cv (nb095AlphaDummy641 D R S_cls E)).fv
theorem
NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb095_support_mem_0659
(x : SemanticCore.Var)
(D R : SemanticCore.Class)
:
nb095AlphaDummy643 x D R ∈ (SemanticCore.Class.cv (nb095AlphaDummy643 x D R)).fv ∪ (SemanticCore.Class.cv (nb095AlphaDummy644 x D R)).fv
theorem
NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb095_support_mem_0660
(D R S_cls E : SemanticCore.Class)
:
nb095AlphaDummy641 D R S_cls E ∈ (Compiler.CompactSourceSyntax.synCnin (SemanticCore.Class.cv (nb095AlphaDummy640 D R S_cls E))
(SemanticCore.Class.cv (nb095AlphaDummy641 D R S_cls E))).fv ∪ (Compiler.CompactSourceSyntax.synCnin (SemanticCore.Class.cv (nb095AlphaDummy640 D R S_cls E))
(SemanticCore.Class.cv (nb095AlphaDummy641 D R S_cls E))).fv
theorem
NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb095_support_mem_0661
(x : SemanticCore.Var)
(D R : SemanticCore.Class)
:
nb095AlphaDummy644 x D R ∈ (Compiler.CompactSourceSyntax.synCnin (SemanticCore.Class.cv (nb095AlphaDummy643 x D R))
(SemanticCore.Class.cv (nb095AlphaDummy644 x D R))).fv ∪ (Compiler.CompactSourceSyntax.synCnin (SemanticCore.Class.cv (nb095AlphaDummy643 x D R))
(SemanticCore.Class.cv (nb095AlphaDummy644 x D R))).fv
theorem
NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb095_support_mem_0662
(D R S_cls E : SemanticCore.Class)
:
nb095AlphaDummy641 D R S_cls E ∈ (SemanticCore.Class.cv (nb095AlphaDummy640 D R S_cls E)).fv ∪ (SemanticCore.Class.cv (nb095AlphaDummy641 D R S_cls E)).fv
theorem
NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb095_support_mem_0663
(x : SemanticCore.Var)
(D R : SemanticCore.Class)
:
nb095AlphaDummy644 x D R ∈ (SemanticCore.Class.cv (nb095AlphaDummy643 x D R)).fv ∪ (SemanticCore.Class.cv (nb095AlphaDummy644 x D R)).fv
theorem
NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb095_support_mem_0664
(D R S_cls E : SemanticCore.Class)
:
nb095AlphaDummy640 D R S_cls E ∈ (Compiler.CompactSourceSyntax.synCcompl (SemanticCore.Class.cv (nb095AlphaDummy640 D R S_cls E))).fv ∪ (Compiler.CompactSourceSyntax.synCcompl (SemanticCore.Class.cv (nb095AlphaDummy641 D R S_cls E))).fv
theorem
NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb095_support_mem_0666
(D R S_cls E : SemanticCore.Class)
:
nb095AlphaDummy640 D R S_cls E ∈ (SemanticCore.Class.cv (nb095AlphaDummy640 D R S_cls E)).fv ∪ (SemanticCore.Class.cv (nb095AlphaDummy640 D R S_cls E)).fv
theorem
NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb095_support_mem_0667
(x : SemanticCore.Var)
(D R : SemanticCore.Class)
:
nb095AlphaDummy643 x D R ∈ (SemanticCore.Class.cv (nb095AlphaDummy643 x D R)).fv ∪ (SemanticCore.Class.cv (nb095AlphaDummy643 x D R)).fv
theorem
NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb095_support_mem_0668
(D R S_cls E : SemanticCore.Class)
:
nb095AlphaDummy641 D R S_cls E ∈ (Compiler.CompactSourceSyntax.synCcompl (SemanticCore.Class.cv (nb095AlphaDummy640 D R S_cls E))).fv ∪ (Compiler.CompactSourceSyntax.synCcompl (SemanticCore.Class.cv (nb095AlphaDummy641 D R S_cls E))).fv
theorem
NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb095_support_mem_0670
(D R S_cls E : SemanticCore.Class)
:
nb095AlphaDummy641 D R S_cls E ∈ (SemanticCore.Class.cv (nb095AlphaDummy641 D R S_cls E)).fv ∪ (SemanticCore.Class.cv (nb095AlphaDummy641 D R S_cls E)).fv
theorem
NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb095_support_mem_0671
(x : SemanticCore.Var)
(D R : SemanticCore.Class)
:
nb095AlphaDummy644 x D R ∈ (SemanticCore.Class.cv (nb095AlphaDummy644 x D R)).fv ∪ (SemanticCore.Class.cv (nb095AlphaDummy644 x D R)).fv
theorem
NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb095_support_mem_0672
(D R S_cls E : SemanticCore.Class)
:
nb095AlphaDummy620 D R S_cls E ∈ (SemanticCore.Class.cv (nb095AlphaDummy619 D R S_cls E)).fv ∪ (SemanticCore.Class.cv (nb095AlphaDummy620 D R S_cls E)).fv
theorem
NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb095_support_mem_0673
(D R S_cls E : SemanticCore.Class)
:
nb095AlphaDummy620 D R S_cls E ∈ (Compiler.CompactSourceSyntax.synCcompl
(SemanticCore.Class.cab (nb095AlphaDummy625 D R S_cls E)
(Compiler.CompactSourceSyntax.synWrex (nb095AlphaDummy626 D R S_cls E)
(SemanticCore.Class.cv (nb095AlphaDummy619 D R S_cls E))
(SemanticCore.Wff.classEq (SemanticCore.Class.cv (nb095AlphaDummy625 D R S_cls E))
(Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv (nb095AlphaDummy626 D R S_cls E))))))).fv ∪ (Compiler.CompactSourceSyntax.synCcompl
(SemanticCore.Class.cab (nb095AlphaDummy625 D R S_cls E)
(Compiler.CompactSourceSyntax.synWrex (nb095AlphaDummy626 D R S_cls E)
(SemanticCore.Class.cv (nb095AlphaDummy620 D R S_cls E))
(SemanticCore.Wff.classEq (SemanticCore.Class.cv (nb095AlphaDummy625 D R S_cls E))
(Compiler.CompactSourceSyntax.synCun
(Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv (nb095AlphaDummy626 D R S_cls E)))
(Compiler.CompactSourceSyntax.synCsn Compiler.CompactSourceSyntax.synC0c)))))).fv
theorem
NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb095_support_mem_0674
(x : SemanticCore.Var)
(D R : SemanticCore.Class)
:
nb095AlphaDummy622 x D R ∈ (SemanticCore.Class.cv (nb095AlphaDummy621 x D R)).fv ∪ (SemanticCore.Class.cv (nb095AlphaDummy622 x D R)).fv
theorem
NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb095_support_mem_0675
(x : SemanticCore.Var)
(D R : SemanticCore.Class)
:
nb095AlphaDummy622 x D R ∈ (Compiler.CompactSourceSyntax.synCcompl
(SemanticCore.Class.cab (nb095AlphaDummy627 x D R)
(Compiler.CompactSourceSyntax.synWrex (nb095AlphaDummy628 x D R)
(SemanticCore.Class.cv (nb095AlphaDummy621 x D R))
(SemanticCore.Wff.classEq (SemanticCore.Class.cv (nb095AlphaDummy627 x D R))
(Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv (nb095AlphaDummy628 x D R))))))).fv ∪ (Compiler.CompactSourceSyntax.synCcompl
(SemanticCore.Class.cab (nb095AlphaDummy627 x D R)
(Compiler.CompactSourceSyntax.synWrex (nb095AlphaDummy628 x D R)
(SemanticCore.Class.cv (nb095AlphaDummy622 x D R))
(SemanticCore.Wff.classEq (SemanticCore.Class.cv (nb095AlphaDummy627 x D R))
(Compiler.CompactSourceSyntax.synCun
(Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv (nb095AlphaDummy628 x D R)))
(Compiler.CompactSourceSyntax.synCsn Compiler.CompactSourceSyntax.synC0c)))))).fv
theorem
NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb095_support_mem_0676
(D R S_cls E : SemanticCore.Class)
:
nb095AlphaDummy620 D R S_cls E ∈ (SemanticCore.Class.cab (nb095AlphaDummy625 D R S_cls E)
(Compiler.CompactSourceSyntax.synWrex (nb095AlphaDummy626 D R S_cls E)
(SemanticCore.Class.cv (nb095AlphaDummy620 D R S_cls E))
(SemanticCore.Wff.classEq (SemanticCore.Class.cv (nb095AlphaDummy625 D R S_cls E))
(Compiler.CompactSourceSyntax.synCun
(Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv (nb095AlphaDummy626 D R S_cls E)))
(Compiler.CompactSourceSyntax.synCsn Compiler.CompactSourceSyntax.synC0c))))).fv ∪ (SemanticCore.Class.cab (nb095AlphaDummy625 D R S_cls E)
(Compiler.CompactSourceSyntax.synWrex (nb095AlphaDummy626 D R S_cls E)
(SemanticCore.Class.cv (nb095AlphaDummy620 D R S_cls E))
(SemanticCore.Wff.classEq (SemanticCore.Class.cv (nb095AlphaDummy625 D R S_cls E))
(Compiler.CompactSourceSyntax.synCun
(Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv (nb095AlphaDummy626 D R S_cls E)))
(Compiler.CompactSourceSyntax.synCsn Compiler.CompactSourceSyntax.synC0c))))).fv
theorem
NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb095_support_mem_0677
(x : SemanticCore.Var)
(D R : SemanticCore.Class)
:
nb095AlphaDummy622 x D R ∈ (SemanticCore.Class.cab (nb095AlphaDummy627 x D R)
(Compiler.CompactSourceSyntax.synWrex (nb095AlphaDummy628 x D R)
(SemanticCore.Class.cv (nb095AlphaDummy622 x D R))
(SemanticCore.Wff.classEq (SemanticCore.Class.cv (nb095AlphaDummy627 x D R))
(Compiler.CompactSourceSyntax.synCun
(Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv (nb095AlphaDummy628 x D R)))
(Compiler.CompactSourceSyntax.synCsn Compiler.CompactSourceSyntax.synC0c))))).fv ∪ (SemanticCore.Class.cab (nb095AlphaDummy627 x D R)
(Compiler.CompactSourceSyntax.synWrex (nb095AlphaDummy628 x D R)
(SemanticCore.Class.cv (nb095AlphaDummy622 x D R))
(SemanticCore.Wff.classEq (SemanticCore.Class.cv (nb095AlphaDummy627 x D R))
(Compiler.CompactSourceSyntax.synCun
(Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv (nb095AlphaDummy628 x D R)))
(Compiler.CompactSourceSyntax.synCsn Compiler.CompactSourceSyntax.synC0c))))).fv
theorem
NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb095_support_mem_0678
(D R S_cls E : SemanticCore.Class)
:
theorem
NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb095_support_mem_0680
(D R S_cls E : SemanticCore.Class)
:
nb095AlphaDummy626 D R S_cls E ∈ (Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv (nb095AlphaDummy626 D R S_cls E))).fv ∪ (Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv (nb095AlphaDummy626 D R S_cls E))).fv
theorem
NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb095_support_mem_0682
(D R S_cls E : SemanticCore.Class)
:
nb095AlphaDummy002 D R S_cls E ∈ (Compiler.CompactSourceSyntax.synCnin R
(Compiler.CompactSourceSyntax.synCxp
(Compiler.CompactSourceSyntax.synCin D
(Compiler.CompactSourceSyntax.synCima
(Compiler.CompactSourceSyntax.synCcnv
(Compiler.CompactSourceSyntax.synCdif R Compiler.CompactSourceSyntax.synCid))
(Compiler.CompactSourceSyntax.synCsn (SemanticCore.Class.cv (nb095AlphaDummy002 D R S_cls E)))))
(Compiler.CompactSourceSyntax.synCin D
(Compiler.CompactSourceSyntax.synCima
(Compiler.CompactSourceSyntax.synCcnv
(Compiler.CompactSourceSyntax.synCdif R Compiler.CompactSourceSyntax.synCid))
(Compiler.CompactSourceSyntax.synCsn (SemanticCore.Class.cv (nb095AlphaDummy002 D R S_cls E))))))).fv ∪ (Compiler.CompactSourceSyntax.synCnin R
(Compiler.CompactSourceSyntax.synCxp
(Compiler.CompactSourceSyntax.synCin D
(Compiler.CompactSourceSyntax.synCima
(Compiler.CompactSourceSyntax.synCcnv
(Compiler.CompactSourceSyntax.synCdif R Compiler.CompactSourceSyntax.synCid))
(Compiler.CompactSourceSyntax.synCsn (SemanticCore.Class.cv (nb095AlphaDummy002 D R S_cls E)))))
(Compiler.CompactSourceSyntax.synCin D
(Compiler.CompactSourceSyntax.synCima
(Compiler.CompactSourceSyntax.synCcnv
(Compiler.CompactSourceSyntax.synCdif R Compiler.CompactSourceSyntax.synCid))
(Compiler.CompactSourceSyntax.synCsn (SemanticCore.Class.cv (nb095AlphaDummy002 D R S_cls E))))))).fv
theorem
NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb095_support_mem_0683
(x : SemanticCore.Var)
(D R : SemanticCore.Class)
:
x ∈ (Compiler.CompactSourceSyntax.synCnin R
(Compiler.CompactSourceSyntax.synCxp
(Compiler.CompactSourceSyntax.synCin D
(Compiler.CompactSourceSyntax.synCima
(Compiler.CompactSourceSyntax.synCcnv
(Compiler.CompactSourceSyntax.synCdif R Compiler.CompactSourceSyntax.synCid))
(Compiler.CompactSourceSyntax.synCsn (SemanticCore.Class.cv x))))
(Compiler.CompactSourceSyntax.synCin D
(Compiler.CompactSourceSyntax.synCima
(Compiler.CompactSourceSyntax.synCcnv
(Compiler.CompactSourceSyntax.synCdif R Compiler.CompactSourceSyntax.synCid))
(Compiler.CompactSourceSyntax.synCsn (SemanticCore.Class.cv x)))))).fv ∪ (Compiler.CompactSourceSyntax.synCnin R
(Compiler.CompactSourceSyntax.synCxp
(Compiler.CompactSourceSyntax.synCin D
(Compiler.CompactSourceSyntax.synCima
(Compiler.CompactSourceSyntax.synCcnv
(Compiler.CompactSourceSyntax.synCdif R Compiler.CompactSourceSyntax.synCid))
(Compiler.CompactSourceSyntax.synCsn (SemanticCore.Class.cv x))))
(Compiler.CompactSourceSyntax.synCin D
(Compiler.CompactSourceSyntax.synCima
(Compiler.CompactSourceSyntax.synCcnv
(Compiler.CompactSourceSyntax.synCdif R Compiler.CompactSourceSyntax.synCid))
(Compiler.CompactSourceSyntax.synCsn (SemanticCore.Class.cv x)))))).fv
theorem
NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb095_support_mem_0684
(D R S_cls E : SemanticCore.Class)
:
nb095AlphaDummy002 D R S_cls E ∈ R.fv ∪ (Compiler.CompactSourceSyntax.synCxp
(Compiler.CompactSourceSyntax.synCin D
(Compiler.CompactSourceSyntax.synCima
(Compiler.CompactSourceSyntax.synCcnv
(Compiler.CompactSourceSyntax.synCdif R Compiler.CompactSourceSyntax.synCid))
(Compiler.CompactSourceSyntax.synCsn (SemanticCore.Class.cv (nb095AlphaDummy002 D R S_cls E)))))
(Compiler.CompactSourceSyntax.synCin D
(Compiler.CompactSourceSyntax.synCima
(Compiler.CompactSourceSyntax.synCcnv
(Compiler.CompactSourceSyntax.synCdif R Compiler.CompactSourceSyntax.synCid))
(Compiler.CompactSourceSyntax.synCsn (SemanticCore.Class.cv (nb095AlphaDummy002 D R S_cls E)))))).fv
theorem
NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb095_support_mem_0685
(x : SemanticCore.Var)
(D R : SemanticCore.Class)
:
x ∈ R.fv ∪ (Compiler.CompactSourceSyntax.synCxp
(Compiler.CompactSourceSyntax.synCin D
(Compiler.CompactSourceSyntax.synCima
(Compiler.CompactSourceSyntax.synCcnv
(Compiler.CompactSourceSyntax.synCdif R Compiler.CompactSourceSyntax.synCid))
(Compiler.CompactSourceSyntax.synCsn (SemanticCore.Class.cv x))))
(Compiler.CompactSourceSyntax.synCin D
(Compiler.CompactSourceSyntax.synCima
(Compiler.CompactSourceSyntax.synCcnv
(Compiler.CompactSourceSyntax.synCdif R Compiler.CompactSourceSyntax.synCid))
(Compiler.CompactSourceSyntax.synCsn (SemanticCore.Class.cv x))))).fv
theorem
NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb095_support_mem_0686
(D R S_cls E : SemanticCore.Class)
:
nb095AlphaDummy002 D R S_cls E ∈ {nb095AlphaDummy619 D R S_cls E} ∪ {nb095AlphaDummy620 D R S_cls E} ∪ (Compiler.CompactSourceSyntax.synWa
(SemanticCore.Wff.classMem (SemanticCore.Class.cv (nb095AlphaDummy619 D R S_cls E))
(Compiler.CompactSourceSyntax.synCin D
(Compiler.CompactSourceSyntax.synCima
(Compiler.CompactSourceSyntax.synCcnv
(Compiler.CompactSourceSyntax.synCdif R Compiler.CompactSourceSyntax.synCid))
(Compiler.CompactSourceSyntax.synCsn (SemanticCore.Class.cv (nb095AlphaDummy002 D R S_cls E))))))
(SemanticCore.Wff.classMem (SemanticCore.Class.cv (nb095AlphaDummy620 D R S_cls E))
(Compiler.CompactSourceSyntax.synCin D
(Compiler.CompactSourceSyntax.synCima
(Compiler.CompactSourceSyntax.synCcnv
(Compiler.CompactSourceSyntax.synCdif R Compiler.CompactSourceSyntax.synCid))
(Compiler.CompactSourceSyntax.synCsn (SemanticCore.Class.cv (nb095AlphaDummy002 D R S_cls E))))))).fv
theorem
NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb095_support_mem_0687
(x : SemanticCore.Var)
(D R : SemanticCore.Class)
:
x ∈ {nb095AlphaDummy621 x D R} ∪ {nb095AlphaDummy622 x D R} ∪ (Compiler.CompactSourceSyntax.synWa
(SemanticCore.Wff.classMem (SemanticCore.Class.cv (nb095AlphaDummy621 x D R))
(Compiler.CompactSourceSyntax.synCin D
(Compiler.CompactSourceSyntax.synCima
(Compiler.CompactSourceSyntax.synCcnv
(Compiler.CompactSourceSyntax.synCdif R Compiler.CompactSourceSyntax.synCid))
(Compiler.CompactSourceSyntax.synCsn (SemanticCore.Class.cv x)))))
(SemanticCore.Wff.classMem (SemanticCore.Class.cv (nb095AlphaDummy622 x D R))
(Compiler.CompactSourceSyntax.synCin D
(Compiler.CompactSourceSyntax.synCima
(Compiler.CompactSourceSyntax.synCcnv
(Compiler.CompactSourceSyntax.synCdif R Compiler.CompactSourceSyntax.synCid))
(Compiler.CompactSourceSyntax.synCsn (SemanticCore.Class.cv x)))))).fv
theorem
NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb095_support_mem_0688
(D R S_cls E : SemanticCore.Class)
:
nb095AlphaDummy002 D R S_cls E ∈ (Compiler.CompactSourceSyntax.synCin D
(Compiler.CompactSourceSyntax.synCima
(Compiler.CompactSourceSyntax.synCcnv
(Compiler.CompactSourceSyntax.synCdif R Compiler.CompactSourceSyntax.synCid))
(Compiler.CompactSourceSyntax.synCsn (SemanticCore.Class.cv (nb095AlphaDummy002 D R S_cls E))))).fv ∪ (Compiler.CompactSourceSyntax.synCin D
(Compiler.CompactSourceSyntax.synCima
(Compiler.CompactSourceSyntax.synCcnv
(Compiler.CompactSourceSyntax.synCdif R Compiler.CompactSourceSyntax.synCid))
(Compiler.CompactSourceSyntax.synCsn (SemanticCore.Class.cv (nb095AlphaDummy002 D R S_cls E))))).fv
theorem
NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb095_support_mem_0689
(x : SemanticCore.Var)
(D R : SemanticCore.Class)
:
x ∈ (Compiler.CompactSourceSyntax.synCin D
(Compiler.CompactSourceSyntax.synCima
(Compiler.CompactSourceSyntax.synCcnv
(Compiler.CompactSourceSyntax.synCdif R Compiler.CompactSourceSyntax.synCid))
(Compiler.CompactSourceSyntax.synCsn (SemanticCore.Class.cv x)))).fv ∪ (Compiler.CompactSourceSyntax.synCin D
(Compiler.CompactSourceSyntax.synCima
(Compiler.CompactSourceSyntax.synCcnv
(Compiler.CompactSourceSyntax.synCdif R Compiler.CompactSourceSyntax.synCid))
(Compiler.CompactSourceSyntax.synCsn (SemanticCore.Class.cv x)))).fv
theorem
NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb095_support_mem_0690
(D R S_cls E : SemanticCore.Class)
:
nb095AlphaDummy003 D R S_cls E ∈ (Compiler.CompactSourceSyntax.synCfv (SemanticCore.Class.cv (nb095AlphaDummy000 D R S_cls E))
(SemanticCore.Class.cv (nb095AlphaDummy003 D R S_cls E))).fv ∪ (Compiler.CompactSourceSyntax.synCfv (SemanticCore.Class.cv (nb095AlphaDummy000 D R S_cls E))
(SemanticCore.Class.cv (nb095AlphaDummy004 D R S_cls E))).fv
theorem
NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb095_support_mem_0691
(D R S_cls E : SemanticCore.Class)
:
nb095AlphaDummy003 D R S_cls E ∈ (Compiler.CompactSourceSyntax.synCcompl
(SemanticCore.Class.cab (nb095AlphaDummy661 D R S_cls E)
(Compiler.CompactSourceSyntax.synWrex (nb095AlphaDummy662 D R S_cls E)
(Compiler.CompactSourceSyntax.synCfv (SemanticCore.Class.cv (nb095AlphaDummy000 D R S_cls E))
(SemanticCore.Class.cv (nb095AlphaDummy003 D R S_cls E)))
(SemanticCore.Wff.classEq (SemanticCore.Class.cv (nb095AlphaDummy661 D R S_cls E))
(Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv (nb095AlphaDummy662 D R S_cls E))))))).fv ∪ (Compiler.CompactSourceSyntax.synCcompl
(SemanticCore.Class.cab (nb095AlphaDummy661 D R S_cls E)
(Compiler.CompactSourceSyntax.synWrex (nb095AlphaDummy662 D R S_cls E)
(Compiler.CompactSourceSyntax.synCfv (SemanticCore.Class.cv (nb095AlphaDummy000 D R S_cls E))
(SemanticCore.Class.cv (nb095AlphaDummy004 D R S_cls E)))
(SemanticCore.Wff.classEq (SemanticCore.Class.cv (nb095AlphaDummy661 D R S_cls E))
(Compiler.CompactSourceSyntax.synCun
(Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv (nb095AlphaDummy662 D R S_cls E)))
(Compiler.CompactSourceSyntax.synCsn Compiler.CompactSourceSyntax.synC0c)))))).fv
theorem
NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb095_support_mem_0692
(x u : SemanticCore.Var)
(D R S_cls : SemanticCore.Class)
(f : SemanticCore.Var)
(E : SemanticCore.Class)
:
nb095AlphaDummy005 x u D R S_cls f E ∈ (Compiler.CompactSourceSyntax.synCfv (SemanticCore.Class.cv f)
(SemanticCore.Class.cv (nb095AlphaDummy005 x u D R S_cls f E))).fv ∪ (Compiler.CompactSourceSyntax.synCfv (SemanticCore.Class.cv f)
(SemanticCore.Class.cv (nb095AlphaDummy006 x u D R S_cls f E))).fv
theorem
NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb095_support_mem_0693
(x u : SemanticCore.Var)
(D R S_cls : SemanticCore.Class)
(f : SemanticCore.Var)
(E : SemanticCore.Class)
:
nb095AlphaDummy005 x u D R S_cls f E ∈ (Compiler.CompactSourceSyntax.synCcompl
(SemanticCore.Class.cab (nb095AlphaDummy663 x u D R S_cls f E)
(Compiler.CompactSourceSyntax.synWrex (nb095AlphaDummy664 x u D R S_cls f E)
(Compiler.CompactSourceSyntax.synCfv (SemanticCore.Class.cv f)
(SemanticCore.Class.cv (nb095AlphaDummy005 x u D R S_cls f E)))
(SemanticCore.Wff.classEq (SemanticCore.Class.cv (nb095AlphaDummy663 x u D R S_cls f E))
(Compiler.CompactSourceSyntax.synCphi
(SemanticCore.Class.cv (nb095AlphaDummy664 x u D R S_cls f E))))))).fv ∪ (Compiler.CompactSourceSyntax.synCcompl
(SemanticCore.Class.cab (nb095AlphaDummy663 x u D R S_cls f E)
(Compiler.CompactSourceSyntax.synWrex (nb095AlphaDummy664 x u D R S_cls f E)
(Compiler.CompactSourceSyntax.synCfv (SemanticCore.Class.cv f)
(SemanticCore.Class.cv (nb095AlphaDummy006 x u D R S_cls f E)))
(SemanticCore.Wff.classEq (SemanticCore.Class.cv (nb095AlphaDummy663 x u D R S_cls f E))
(Compiler.CompactSourceSyntax.synCun
(Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv (nb095AlphaDummy664 x u D R S_cls f E)))
(Compiler.CompactSourceSyntax.synCsn Compiler.CompactSourceSyntax.synC0c)))))).fv
theorem
NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb095_support_mem_0694
(D R S_cls E : SemanticCore.Class)
:
nb095AlphaDummy003 D R S_cls E ∈ (SemanticCore.Class.cab (nb095AlphaDummy661 D R S_cls E)
(Compiler.CompactSourceSyntax.synWrex (nb095AlphaDummy662 D R S_cls E)
(Compiler.CompactSourceSyntax.synCfv (SemanticCore.Class.cv (nb095AlphaDummy000 D R S_cls E))
(SemanticCore.Class.cv (nb095AlphaDummy003 D R S_cls E)))
(SemanticCore.Wff.classEq (SemanticCore.Class.cv (nb095AlphaDummy661 D R S_cls E))
(Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv (nb095AlphaDummy662 D R S_cls E)))))).fv ∪ (SemanticCore.Class.cab (nb095AlphaDummy661 D R S_cls E)
(Compiler.CompactSourceSyntax.synWrex (nb095AlphaDummy662 D R S_cls E)
(Compiler.CompactSourceSyntax.synCfv (SemanticCore.Class.cv (nb095AlphaDummy000 D R S_cls E))
(SemanticCore.Class.cv (nb095AlphaDummy003 D R S_cls E)))
(SemanticCore.Wff.classEq (SemanticCore.Class.cv (nb095AlphaDummy661 D R S_cls E))
(Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv (nb095AlphaDummy662 D R S_cls E)))))).fv
theorem
NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb095_support_mem_0695
(x u : SemanticCore.Var)
(D R S_cls : SemanticCore.Class)
(f : SemanticCore.Var)
(E : SemanticCore.Class)
:
nb095AlphaDummy005 x u D R S_cls f E ∈ (SemanticCore.Class.cab (nb095AlphaDummy663 x u D R S_cls f E)
(Compiler.CompactSourceSyntax.synWrex (nb095AlphaDummy664 x u D R S_cls f E)
(Compiler.CompactSourceSyntax.synCfv (SemanticCore.Class.cv f)
(SemanticCore.Class.cv (nb095AlphaDummy005 x u D R S_cls f E)))
(SemanticCore.Wff.classEq (SemanticCore.Class.cv (nb095AlphaDummy663 x u D R S_cls f E))
(Compiler.CompactSourceSyntax.synCphi
(SemanticCore.Class.cv (nb095AlphaDummy664 x u D R S_cls f E)))))).fv ∪ (SemanticCore.Class.cab (nb095AlphaDummy663 x u D R S_cls f E)
(Compiler.CompactSourceSyntax.synWrex (nb095AlphaDummy664 x u D R S_cls f E)
(Compiler.CompactSourceSyntax.synCfv (SemanticCore.Class.cv f)
(SemanticCore.Class.cv (nb095AlphaDummy005 x u D R S_cls f E)))
(SemanticCore.Wff.classEq (SemanticCore.Class.cv (nb095AlphaDummy663 x u D R S_cls f E))
(Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv (nb095AlphaDummy664 x u D R S_cls f E)))))).fv
theorem
NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb095_support_mem_0696
(D R S_cls E : SemanticCore.Class)
:
nb095AlphaDummy003 D R S_cls E ∈ (SemanticCore.Class.cv (nb095AlphaDummy000 D R S_cls E)).fv ∪ (SemanticCore.Class.cv (nb095AlphaDummy003 D R S_cls E)).fv
theorem
NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb095_support_mem_0697
(D R S_cls E : SemanticCore.Class)
:
nb095AlphaDummy003 D R S_cls E ∈ {nb095AlphaDummy669 D R S_cls E} ∪ (Compiler.CompactSourceSyntax.synWbr (SemanticCore.Class.cv (nb095AlphaDummy003 D R S_cls E))
(SemanticCore.Class.cv (nb095AlphaDummy000 D R S_cls E))
(SemanticCore.Class.cv (nb095AlphaDummy669 D R S_cls E))).fv
theorem
NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb095_support_mem_0698
(D R S_cls E : SemanticCore.Class)
:
nb095AlphaDummy003 D R S_cls E ∈ (SemanticCore.Class.cab (nb095AlphaDummy671 D R S_cls E)
(SemanticCore.Wff.classEq
(SemanticCore.Class.cab (nb095AlphaDummy669 D R S_cls E)
(Compiler.CompactSourceSyntax.synWbr (SemanticCore.Class.cv (nb095AlphaDummy003 D R S_cls E))
(SemanticCore.Class.cv (nb095AlphaDummy000 D R S_cls E))
(SemanticCore.Class.cv (nb095AlphaDummy669 D R S_cls E))))
(Compiler.CompactSourceSyntax.synCsn (SemanticCore.Class.cv (nb095AlphaDummy671 D R S_cls E))))).fv
theorem
NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb095_support_mem_0699
(x u : SemanticCore.Var)
(D R S_cls : SemanticCore.Class)
(f : SemanticCore.Var)
(E : SemanticCore.Class)
:
nb095AlphaDummy005 x u D R S_cls f E ∈ (SemanticCore.Class.cv f).fv ∪ (SemanticCore.Class.cv (nb095AlphaDummy005 x u D R S_cls f E)).fv
theorem
NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb095_support_mem_0700
(x u : SemanticCore.Var)
(D R S_cls : SemanticCore.Class)
(f : SemanticCore.Var)
(E : SemanticCore.Class)
:
nb095AlphaDummy005 x u D R S_cls f E ∈ {nb095AlphaDummy670 x u D R S_cls f E} ∪ (Compiler.CompactSourceSyntax.synWbr (SemanticCore.Class.cv (nb095AlphaDummy005 x u D R S_cls f E))
(SemanticCore.Class.cv f) (SemanticCore.Class.cv (nb095AlphaDummy670 x u D R S_cls f E))).fv
theorem
NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb095_support_mem_0701
(x u : SemanticCore.Var)
(D R S_cls : SemanticCore.Class)
(f : SemanticCore.Var)
(E : SemanticCore.Class)
:
nb095AlphaDummy005 x u D R S_cls f E ∈ (SemanticCore.Class.cab (nb095AlphaDummy672 x u D R S_cls f E)
(SemanticCore.Wff.classEq
(SemanticCore.Class.cab (nb095AlphaDummy670 x u D R S_cls f E)
(Compiler.CompactSourceSyntax.synWbr (SemanticCore.Class.cv (nb095AlphaDummy005 x u D R S_cls f E))
(SemanticCore.Class.cv f) (SemanticCore.Class.cv (nb095AlphaDummy670 x u D R S_cls f E))))
(Compiler.CompactSourceSyntax.synCsn (SemanticCore.Class.cv (nb095AlphaDummy672 x u D R S_cls f E))))).fv
theorem
NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb095_support_mem_0702
(D R S_cls E : SemanticCore.Class)
:
nb095AlphaDummy003 D R S_cls E ∈ (SemanticCore.Class.cv (nb095AlphaDummy003 D R S_cls E)).fv ∪ (SemanticCore.Class.cv (nb095AlphaDummy669 D R S_cls E)).fv
theorem
NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb095_support_mem_0703
(D R S_cls E : SemanticCore.Class)
:
nb095AlphaDummy003 D R S_cls E ∈ (Compiler.CompactSourceSyntax.synCcompl
(SemanticCore.Class.cab (nb095AlphaDummy677 D R S_cls E)
(Compiler.CompactSourceSyntax.synWrex (nb095AlphaDummy678 D R S_cls E)
(SemanticCore.Class.cv (nb095AlphaDummy003 D R S_cls E))
(SemanticCore.Wff.classEq (SemanticCore.Class.cv (nb095AlphaDummy677 D R S_cls E))
(Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv (nb095AlphaDummy678 D R S_cls E))))))).fv ∪ (Compiler.CompactSourceSyntax.synCcompl
(SemanticCore.Class.cab (nb095AlphaDummy677 D R S_cls E)
(Compiler.CompactSourceSyntax.synWrex (nb095AlphaDummy678 D R S_cls E)
(SemanticCore.Class.cv (nb095AlphaDummy669 D R S_cls E))
(SemanticCore.Wff.classEq (SemanticCore.Class.cv (nb095AlphaDummy677 D R S_cls E))
(Compiler.CompactSourceSyntax.synCun
(Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv (nb095AlphaDummy678 D R S_cls E)))
(Compiler.CompactSourceSyntax.synCsn Compiler.CompactSourceSyntax.synC0c)))))).fv
theorem
NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb095_support_mem_0704
(x u : SemanticCore.Var)
(D R S_cls : SemanticCore.Class)
(f : SemanticCore.Var)
(E : SemanticCore.Class)
:
nb095AlphaDummy005 x u D R S_cls f E ∈ (SemanticCore.Class.cv (nb095AlphaDummy005 x u D R S_cls f E)).fv ∪ (SemanticCore.Class.cv (nb095AlphaDummy670 x u D R S_cls f E)).fv
theorem
NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb095_support_mem_0705
(x u : SemanticCore.Var)
(D R S_cls : SemanticCore.Class)
(f : SemanticCore.Var)
(E : SemanticCore.Class)
:
nb095AlphaDummy005 x u D R S_cls f E ∈ (Compiler.CompactSourceSyntax.synCcompl
(SemanticCore.Class.cab (nb095AlphaDummy679 x u D R S_cls f E)
(Compiler.CompactSourceSyntax.synWrex (nb095AlphaDummy680 x u D R S_cls f E)
(SemanticCore.Class.cv (nb095AlphaDummy005 x u D R S_cls f E))
(SemanticCore.Wff.classEq (SemanticCore.Class.cv (nb095AlphaDummy679 x u D R S_cls f E))
(Compiler.CompactSourceSyntax.synCphi
(SemanticCore.Class.cv (nb095AlphaDummy680 x u D R S_cls f E))))))).fv ∪ (Compiler.CompactSourceSyntax.synCcompl
(SemanticCore.Class.cab (nb095AlphaDummy679 x u D R S_cls f E)
(Compiler.CompactSourceSyntax.synWrex (nb095AlphaDummy680 x u D R S_cls f E)
(SemanticCore.Class.cv (nb095AlphaDummy670 x u D R S_cls f E))
(SemanticCore.Wff.classEq (SemanticCore.Class.cv (nb095AlphaDummy679 x u D R S_cls f E))
(Compiler.CompactSourceSyntax.synCun
(Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv (nb095AlphaDummy680 x u D R S_cls f E)))
(Compiler.CompactSourceSyntax.synCsn Compiler.CompactSourceSyntax.synC0c)))))).fv
theorem
NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb095_support_mem_0706
(D R S_cls E : SemanticCore.Class)
:
nb095AlphaDummy003 D R S_cls E ∈ (SemanticCore.Class.cab (nb095AlphaDummy677 D R S_cls E)
(Compiler.CompactSourceSyntax.synWrex (nb095AlphaDummy678 D R S_cls E)
(SemanticCore.Class.cv (nb095AlphaDummy003 D R S_cls E))
(SemanticCore.Wff.classEq (SemanticCore.Class.cv (nb095AlphaDummy677 D R S_cls E))
(Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv (nb095AlphaDummy678 D R S_cls E)))))).fv ∪ (SemanticCore.Class.cab (nb095AlphaDummy677 D R S_cls E)
(Compiler.CompactSourceSyntax.synWrex (nb095AlphaDummy678 D R S_cls E)
(SemanticCore.Class.cv (nb095AlphaDummy003 D R S_cls E))
(SemanticCore.Wff.classEq (SemanticCore.Class.cv (nb095AlphaDummy677 D R S_cls E))
(Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv (nb095AlphaDummy678 D R S_cls E)))))).fv
theorem
NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb095_support_mem_0707
(x u : SemanticCore.Var)
(D R S_cls : SemanticCore.Class)
(f : SemanticCore.Var)
(E : SemanticCore.Class)
:
nb095AlphaDummy005 x u D R S_cls f E ∈ (SemanticCore.Class.cab (nb095AlphaDummy679 x u D R S_cls f E)
(Compiler.CompactSourceSyntax.synWrex (nb095AlphaDummy680 x u D R S_cls f E)
(SemanticCore.Class.cv (nb095AlphaDummy005 x u D R S_cls f E))
(SemanticCore.Wff.classEq (SemanticCore.Class.cv (nb095AlphaDummy679 x u D R S_cls f E))
(Compiler.CompactSourceSyntax.synCphi
(SemanticCore.Class.cv (nb095AlphaDummy680 x u D R S_cls f E)))))).fv ∪ (SemanticCore.Class.cab (nb095AlphaDummy679 x u D R S_cls f E)
(Compiler.CompactSourceSyntax.synWrex (nb095AlphaDummy680 x u D R S_cls f E)
(SemanticCore.Class.cv (nb095AlphaDummy005 x u D R S_cls f E))
(SemanticCore.Wff.classEq (SemanticCore.Class.cv (nb095AlphaDummy679 x u D R S_cls f E))
(Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv (nb095AlphaDummy680 x u D R S_cls f E)))))).fv
theorem
NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb095_support_mem_0708
(D R S_cls E : SemanticCore.Class)
:
theorem
NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb095_support_mem_0709
(x u : SemanticCore.Var)
(D R S_cls : SemanticCore.Class)
(f : SemanticCore.Var)
(E : SemanticCore.Class)
:
nb095AlphaDummy680 x u D R S_cls f E ∈ (SemanticCore.Class.cv (nb095AlphaDummy680 x u D R S_cls f E)).fv
theorem
NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb095_support_mem_0710
(D R S_cls E : SemanticCore.Class)
:
nb095AlphaDummy685 D R S_cls E ∈ (SemanticCore.Wff.classMem (SemanticCore.Class.cv (nb095AlphaDummy685 D R S_cls E))
Compiler.CompactSourceSyntax.synCnnc).fv ∪ (Compiler.CompactSourceSyntax.synCplc (SemanticCore.Class.cv (nb095AlphaDummy685 D R S_cls E))
Compiler.CompactSourceSyntax.synC1c).fv ∪ (SemanticCore.Class.cv (nb095AlphaDummy685 D R S_cls E)).fv
theorem
NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb095_support_mem_0711
(x u : SemanticCore.Var)
(D R S_cls : SemanticCore.Class)
(f : SemanticCore.Var)
(E : SemanticCore.Class)
:
nb095AlphaDummy687 x u D R S_cls f E ∈ (SemanticCore.Wff.classMem (SemanticCore.Class.cv (nb095AlphaDummy687 x u D R S_cls f E))
Compiler.CompactSourceSyntax.synCnnc).fv ∪ (Compiler.CompactSourceSyntax.synCplc (SemanticCore.Class.cv (nb095AlphaDummy687 x u D R S_cls f E))
Compiler.CompactSourceSyntax.synC1c).fv ∪ (SemanticCore.Class.cv (nb095AlphaDummy687 x u D R S_cls f E)).fv
theorem
NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb095_support_mem_0712
(D R S_cls E : SemanticCore.Class)
:
nb095AlphaDummy685 D R S_cls E ∈ (SemanticCore.Class.cv (nb095AlphaDummy685 D R S_cls E)).fv ∪ Compiler.CompactSourceSyntax.synC1c.fv
theorem
NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb095_support_mem_0713
(x u : SemanticCore.Var)
(D R S_cls : SemanticCore.Class)
(f : SemanticCore.Var)
(E : SemanticCore.Class)
:
nb095AlphaDummy687 x u D R S_cls f E ∈ (SemanticCore.Class.cv (nb095AlphaDummy687 x u D R S_cls f E)).fv ∪ Compiler.CompactSourceSyntax.synC1c.fv
theorem
NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb095_support_mem_0714
(D R S_cls E : SemanticCore.Class)
:
nb095AlphaDummy692 D R S_cls E ∈ (Compiler.CompactSourceSyntax.synCnin (SemanticCore.Class.cv (nb095AlphaDummy692 D R S_cls E))
(SemanticCore.Class.cv (nb095AlphaDummy693 D R S_cls E))).fv ∪ (Compiler.CompactSourceSyntax.synCnin (SemanticCore.Class.cv (nb095AlphaDummy692 D R S_cls E))
(SemanticCore.Class.cv (nb095AlphaDummy693 D R S_cls E))).fv
theorem
NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb095_support_mem_0715
(x u : SemanticCore.Var)
(D R S_cls : SemanticCore.Class)
(f : SemanticCore.Var)
(E : SemanticCore.Class)
:
nb095AlphaDummy695 x u D R S_cls f E ∈ (Compiler.CompactSourceSyntax.synCnin (SemanticCore.Class.cv (nb095AlphaDummy695 x u D R S_cls f E))
(SemanticCore.Class.cv (nb095AlphaDummy696 x u D R S_cls f E))).fv ∪ (Compiler.CompactSourceSyntax.synCnin (SemanticCore.Class.cv (nb095AlphaDummy695 x u D R S_cls f E))
(SemanticCore.Class.cv (nb095AlphaDummy696 x u D R S_cls f E))).fv
theorem
NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb095_support_mem_0716
(D R S_cls E : SemanticCore.Class)
:
nb095AlphaDummy692 D R S_cls E ∈ (SemanticCore.Class.cv (nb095AlphaDummy692 D R S_cls E)).fv ∪ (SemanticCore.Class.cv (nb095AlphaDummy693 D R S_cls E)).fv
theorem
NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb095_support_mem_0717
(x u : SemanticCore.Var)
(D R S_cls : SemanticCore.Class)
(f : SemanticCore.Var)
(E : SemanticCore.Class)
:
nb095AlphaDummy695 x u D R S_cls f E ∈ (SemanticCore.Class.cv (nb095AlphaDummy695 x u D R S_cls f E)).fv ∪ (SemanticCore.Class.cv (nb095AlphaDummy696 x u D R S_cls f E)).fv
theorem
NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb095_support_mem_0718
(D R S_cls E : SemanticCore.Class)
:
nb095AlphaDummy693 D R S_cls E ∈ (Compiler.CompactSourceSyntax.synCnin (SemanticCore.Class.cv (nb095AlphaDummy692 D R S_cls E))
(SemanticCore.Class.cv (nb095AlphaDummy693 D R S_cls E))).fv ∪ (Compiler.CompactSourceSyntax.synCnin (SemanticCore.Class.cv (nb095AlphaDummy692 D R S_cls E))
(SemanticCore.Class.cv (nb095AlphaDummy693 D R S_cls E))).fv
theorem
NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb095_support_mem_0719
(x u : SemanticCore.Var)
(D R S_cls : SemanticCore.Class)
(f : SemanticCore.Var)
(E : SemanticCore.Class)
:
nb095AlphaDummy696 x u D R S_cls f E ∈ (Compiler.CompactSourceSyntax.synCnin (SemanticCore.Class.cv (nb095AlphaDummy695 x u D R S_cls f E))
(SemanticCore.Class.cv (nb095AlphaDummy696 x u D R S_cls f E))).fv ∪ (Compiler.CompactSourceSyntax.synCnin (SemanticCore.Class.cv (nb095AlphaDummy695 x u D R S_cls f E))
(SemanticCore.Class.cv (nb095AlphaDummy696 x u D R S_cls f E))).fv
theorem
NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb095_support_mem_0720
(D R S_cls E : SemanticCore.Class)
:
nb095AlphaDummy693 D R S_cls E ∈ (SemanticCore.Class.cv (nb095AlphaDummy692 D R S_cls E)).fv ∪ (SemanticCore.Class.cv (nb095AlphaDummy693 D R S_cls E)).fv
theorem
NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb095_support_mem_0721
(x u : SemanticCore.Var)
(D R S_cls : SemanticCore.Class)
(f : SemanticCore.Var)
(E : SemanticCore.Class)
:
nb095AlphaDummy696 x u D R S_cls f E ∈ (SemanticCore.Class.cv (nb095AlphaDummy695 x u D R S_cls f E)).fv ∪ (SemanticCore.Class.cv (nb095AlphaDummy696 x u D R S_cls f E)).fv
theorem
NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb095_support_mem_0722
(D R S_cls E : SemanticCore.Class)
:
nb095AlphaDummy692 D R S_cls E ∈ (Compiler.CompactSourceSyntax.synCcompl (SemanticCore.Class.cv (nb095AlphaDummy692 D R S_cls E))).fv ∪ (Compiler.CompactSourceSyntax.synCcompl (SemanticCore.Class.cv (nb095AlphaDummy693 D R S_cls E))).fv
theorem
NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb095_support_mem_0723
(x u : SemanticCore.Var)
(D R S_cls : SemanticCore.Class)
(f : SemanticCore.Var)
(E : SemanticCore.Class)
:
nb095AlphaDummy695 x u D R S_cls f E ∈ (Compiler.CompactSourceSyntax.synCcompl (SemanticCore.Class.cv (nb095AlphaDummy695 x u D R S_cls f E))).fv ∪ (Compiler.CompactSourceSyntax.synCcompl (SemanticCore.Class.cv (nb095AlphaDummy696 x u D R S_cls f E))).fv
theorem
NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb095_support_mem_0724
(D R S_cls E : SemanticCore.Class)
:
nb095AlphaDummy692 D R S_cls E ∈ (SemanticCore.Class.cv (nb095AlphaDummy692 D R S_cls E)).fv ∪ (SemanticCore.Class.cv (nb095AlphaDummy692 D R S_cls E)).fv