Nominal proof certificates grouped in dependency order.
Certificates from NAR4C077C001Part006.
theorem
NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb077_fresh_361
(x : SemanticCore.Var)
(F I : SemanticCore.Class)
:
theorem
NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb077_fresh_376
(F I : SemanticCore.Class)
:
nb077AlphaDummy013 F I ∉
(Compiler.CompactSourceSyntax.synCima
(Compiler.CompactSourceSyntax.synCpprod
(Compiler.CompactSourceSyntax.synCmpt (nb077AlphaDummy000 F I) Compiler.CompactSourceSyntax.synCvv
(Compiler.CompactSourceSyntax.synCplc (SemanticCore.Class.cv (nb077AlphaDummy000 F I))
Compiler.CompactSourceSyntax.synC1c))
F)
(SemanticCore.Class.cv (nb077AlphaDummy001 F I))).fv ∪ (SemanticCore.Class.cv (nb077AlphaDummy001 F I)).fv
theorem
NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb077_fresh_377
(x : SemanticCore.Var)
(F I : SemanticCore.Class)
:
nb077AlphaDummy014 x F I ∉
(Compiler.CompactSourceSyntax.synCima
(Compiler.CompactSourceSyntax.synCpprod
(Compiler.CompactSourceSyntax.synCmpt x Compiler.CompactSourceSyntax.synCvv
(Compiler.CompactSourceSyntax.synCplc (SemanticCore.Class.cv x) Compiler.CompactSourceSyntax.synC1c))
F)
(SemanticCore.Class.cv (nb077AlphaDummy002 x F I))).fv ∪ (SemanticCore.Class.cv (nb077AlphaDummy002 x F I)).fv
theorem
NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb077_fresh_390
(F I : SemanticCore.Class)
:
nb077AlphaDummy039 F I ∉
(Compiler.CompactSourceSyntax.synCnin (SemanticCore.Class.cv (nb077AlphaDummy034 F I))
(SemanticCore.Class.cv (nb077AlphaDummy035 F I))).fv ∪ (Compiler.CompactSourceSyntax.synCnin (SemanticCore.Class.cv (nb077AlphaDummy034 F I))
(SemanticCore.Class.cv (nb077AlphaDummy035 F I))).fv
theorem
NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb077_fresh_391
(x : SemanticCore.Var)
(F I : SemanticCore.Class)
:
nb077AlphaDummy040 x F I ∉
(Compiler.CompactSourceSyntax.synCnin (SemanticCore.Class.cv (nb077AlphaDummy037 x F I))
(SemanticCore.Class.cv (nb077AlphaDummy038 x F I))).fv ∪ (Compiler.CompactSourceSyntax.synCnin (SemanticCore.Class.cv (nb077AlphaDummy037 x F I))
(SemanticCore.Class.cv (nb077AlphaDummy038 x F I))).fv
theorem
NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb077_fresh_392
(F I : SemanticCore.Class)
:
nb077AlphaDummy087 F I ∉
(Compiler.CompactSourceSyntax.synCnin (SemanticCore.Class.cv (nb077AlphaDummy082 F I))
(SemanticCore.Class.cv (nb077AlphaDummy083 F I))).fv ∪ (Compiler.CompactSourceSyntax.synCnin (SemanticCore.Class.cv (nb077AlphaDummy082 F I))
(SemanticCore.Class.cv (nb077AlphaDummy083 F I))).fv
theorem
NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb077_fresh_394
(F I : SemanticCore.Class)
:
nb077AlphaDummy123 F I ∉
(Compiler.CompactSourceSyntax.synCnin (SemanticCore.Class.cv (nb077AlphaDummy118 F I))
(SemanticCore.Class.cv (nb077AlphaDummy119 F I))).fv ∪ (Compiler.CompactSourceSyntax.synCnin (SemanticCore.Class.cv (nb077AlphaDummy118 F I))
(SemanticCore.Class.cv (nb077AlphaDummy119 F I))).fv
theorem
NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb077_fresh_396
(F I : SemanticCore.Class)
:
nb077AlphaDummy167 F I ∉
(Compiler.CompactSourceSyntax.synCnin (SemanticCore.Class.cv (nb077AlphaDummy162 F I))
(SemanticCore.Class.cv (nb077AlphaDummy163 F I))).fv ∪ (Compiler.CompactSourceSyntax.synCnin (SemanticCore.Class.cv (nb077AlphaDummy162 F I))
(SemanticCore.Class.cv (nb077AlphaDummy163 F I))).fv
theorem
NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb077_fresh_398
(F I : SemanticCore.Class)
:
nb077AlphaDummy203 F I ∉
(Compiler.CompactSourceSyntax.synCnin (SemanticCore.Class.cv (nb077AlphaDummy198 F I))
(SemanticCore.Class.cv (nb077AlphaDummy199 F I))).fv ∪ (Compiler.CompactSourceSyntax.synCnin (SemanticCore.Class.cv (nb077AlphaDummy198 F I))
(SemanticCore.Class.cv (nb077AlphaDummy199 F I))).fv
theorem
NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb077_fresh_400
(F I : SemanticCore.Class)
:
nb077AlphaDummy239 F I ∉
(Compiler.CompactSourceSyntax.synCnin (SemanticCore.Class.cv (nb077AlphaDummy234 F I))
(SemanticCore.Class.cv (nb077AlphaDummy235 F I))).fv ∪ (Compiler.CompactSourceSyntax.synCnin (SemanticCore.Class.cv (nb077AlphaDummy234 F I))
(SemanticCore.Class.cv (nb077AlphaDummy235 F I))).fv
theorem
NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb077_fresh_402
(F I : SemanticCore.Class)
:
nb077AlphaDummy279 F I ∉
(Compiler.CompactSourceSyntax.synCnin (SemanticCore.Class.cv (nb077AlphaDummy274 F I))
(SemanticCore.Class.cv (nb077AlphaDummy275 F I))).fv ∪ (Compiler.CompactSourceSyntax.synCnin (SemanticCore.Class.cv (nb077AlphaDummy274 F I))
(SemanticCore.Class.cv (nb077AlphaDummy275 F I))).fv
theorem
NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb077_fresh_404
(F I : SemanticCore.Class)
:
nb077AlphaDummy301 F I ∉
(Compiler.CompactSourceSyntax.synCnin (SemanticCore.Class.cv (nb077AlphaDummy296 F I))
(SemanticCore.Class.cv (nb077AlphaDummy297 F I))).fv ∪ (Compiler.CompactSourceSyntax.synCnin (SemanticCore.Class.cv (nb077AlphaDummy296 F I))
(SemanticCore.Class.cv (nb077AlphaDummy297 F I))).fv
theorem
NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb077_fresh_406
(F I : SemanticCore.Class)
:
nb077AlphaDummy331 F I ∉
(Compiler.CompactSourceSyntax.synCnin (SemanticCore.Class.cv (nb077AlphaDummy326 F I))
(SemanticCore.Class.cv (nb077AlphaDummy327 F I))).fv ∪ (Compiler.CompactSourceSyntax.synCnin (SemanticCore.Class.cv (nb077AlphaDummy326 F I))
(SemanticCore.Class.cv (nb077AlphaDummy327 F I))).fv
theorem
NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb077_fresh_408
(F I : SemanticCore.Class)
:
nb077AlphaDummy055 F I ∉
(Compiler.CompactSourceSyntax.synCnin
(Compiler.CompactSourceSyntax.synCcom
(Compiler.CompactSourceSyntax.synCcnv Compiler.CompactSourceSyntax.synC1st)
(Compiler.CompactSourceSyntax.synCcom
(Compiler.CompactSourceSyntax.synCmpt (nb077AlphaDummy000 F I) Compiler.CompactSourceSyntax.synCvv
(Compiler.CompactSourceSyntax.synCplc (SemanticCore.Class.cv (nb077AlphaDummy000 F I))
Compiler.CompactSourceSyntax.synC1c))
Compiler.CompactSourceSyntax.synC1st))
(Compiler.CompactSourceSyntax.synCcom
(Compiler.CompactSourceSyntax.synCcnv Compiler.CompactSourceSyntax.synC2nd)
(Compiler.CompactSourceSyntax.synCcom F Compiler.CompactSourceSyntax.synC2nd))).fv ∪ (Compiler.CompactSourceSyntax.synCnin
(Compiler.CompactSourceSyntax.synCcom
(Compiler.CompactSourceSyntax.synCcnv Compiler.CompactSourceSyntax.synC1st)
(Compiler.CompactSourceSyntax.synCcom
(Compiler.CompactSourceSyntax.synCmpt (nb077AlphaDummy000 F I) Compiler.CompactSourceSyntax.synCvv
(Compiler.CompactSourceSyntax.synCplc (SemanticCore.Class.cv (nb077AlphaDummy000 F I))
Compiler.CompactSourceSyntax.synC1c))
Compiler.CompactSourceSyntax.synC1st))
(Compiler.CompactSourceSyntax.synCcom
(Compiler.CompactSourceSyntax.synCcnv Compiler.CompactSourceSyntax.synC2nd)
(Compiler.CompactSourceSyntax.synCcom F Compiler.CompactSourceSyntax.synC2nd))).fv
theorem
NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb077_fresh_409
(x : SemanticCore.Var)
(F : SemanticCore.Class)
:
nb077AlphaDummy056 x F ∉
(Compiler.CompactSourceSyntax.synCnin
(Compiler.CompactSourceSyntax.synCcom
(Compiler.CompactSourceSyntax.synCcnv Compiler.CompactSourceSyntax.synC1st)
(Compiler.CompactSourceSyntax.synCcom
(Compiler.CompactSourceSyntax.synCmpt x Compiler.CompactSourceSyntax.synCvv
(Compiler.CompactSourceSyntax.synCplc (SemanticCore.Class.cv x) Compiler.CompactSourceSyntax.synC1c))
Compiler.CompactSourceSyntax.synC1st))
(Compiler.CompactSourceSyntax.synCcom
(Compiler.CompactSourceSyntax.synCcnv Compiler.CompactSourceSyntax.synC2nd)
(Compiler.CompactSourceSyntax.synCcom F Compiler.CompactSourceSyntax.synC2nd))).fv ∪ (Compiler.CompactSourceSyntax.synCnin
(Compiler.CompactSourceSyntax.synCcom
(Compiler.CompactSourceSyntax.synCcnv Compiler.CompactSourceSyntax.synC1st)
(Compiler.CompactSourceSyntax.synCcom
(Compiler.CompactSourceSyntax.synCmpt x Compiler.CompactSourceSyntax.synCvv
(Compiler.CompactSourceSyntax.synCplc (SemanticCore.Class.cv x) Compiler.CompactSourceSyntax.synC1c))
Compiler.CompactSourceSyntax.synC1st))
(Compiler.CompactSourceSyntax.synCcom
(Compiler.CompactSourceSyntax.synCcnv Compiler.CompactSourceSyntax.synC2nd)
(Compiler.CompactSourceSyntax.synCcom F Compiler.CompactSourceSyntax.synC2nd))).fv
theorem
NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb077_fresh_410
(F I : SemanticCore.Class)
:
nb077AlphaDummy011 F I ∉
(Compiler.CompactSourceSyntax.synCnin
(Compiler.CompactSourceSyntax.synCima
(Compiler.CompactSourceSyntax.synCpprod
(Compiler.CompactSourceSyntax.synCmpt (nb077AlphaDummy000 F I) Compiler.CompactSourceSyntax.synCvv
(Compiler.CompactSourceSyntax.synCplc (SemanticCore.Class.cv (nb077AlphaDummy000 F I))
Compiler.CompactSourceSyntax.synC1c))
F)
(SemanticCore.Class.cv (nb077AlphaDummy001 F I)))
(SemanticCore.Class.cv (nb077AlphaDummy001 F I))).fv ∪ (Compiler.CompactSourceSyntax.synCnin
(Compiler.CompactSourceSyntax.synCima
(Compiler.CompactSourceSyntax.synCpprod
(Compiler.CompactSourceSyntax.synCmpt (nb077AlphaDummy000 F I) Compiler.CompactSourceSyntax.synCvv
(Compiler.CompactSourceSyntax.synCplc (SemanticCore.Class.cv (nb077AlphaDummy000 F I))
Compiler.CompactSourceSyntax.synC1c))
F)
(SemanticCore.Class.cv (nb077AlphaDummy001 F I)))
(SemanticCore.Class.cv (nb077AlphaDummy001 F I))).fv
theorem
NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb077_fresh_411
(x : SemanticCore.Var)
(F I : SemanticCore.Class)
:
nb077AlphaDummy012 x F I ∉
(Compiler.CompactSourceSyntax.synCnin
(Compiler.CompactSourceSyntax.synCima
(Compiler.CompactSourceSyntax.synCpprod
(Compiler.CompactSourceSyntax.synCmpt x Compiler.CompactSourceSyntax.synCvv
(Compiler.CompactSourceSyntax.synCplc (SemanticCore.Class.cv x) Compiler.CompactSourceSyntax.synC1c))
F)
(SemanticCore.Class.cv (nb077AlphaDummy002 x F I)))
(SemanticCore.Class.cv (nb077AlphaDummy002 x F I))).fv ∪ (Compiler.CompactSourceSyntax.synCnin
(Compiler.CompactSourceSyntax.synCima
(Compiler.CompactSourceSyntax.synCpprod
(Compiler.CompactSourceSyntax.synCmpt x Compiler.CompactSourceSyntax.synCvv
(Compiler.CompactSourceSyntax.synCplc (SemanticCore.Class.cv x) Compiler.CompactSourceSyntax.synC1c))
F)
(SemanticCore.Class.cv (nb077AlphaDummy002 x F I)))
(SemanticCore.Class.cv (nb077AlphaDummy002 x F I))).fv
theorem
NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb077_fresh_412
(F I : SemanticCore.Class)
:
nb077AlphaDummy007 F I ∉
(Compiler.CompactSourceSyntax.synCnin
(Compiler.CompactSourceSyntax.synCsn
(Compiler.CompactSourceSyntax.synCop Compiler.CompactSourceSyntax.synC0c I))
(SemanticCore.Class.cv (nb077AlphaDummy001 F I))).fv ∪ (Compiler.CompactSourceSyntax.synCnin
(Compiler.CompactSourceSyntax.synCsn
(Compiler.CompactSourceSyntax.synCop Compiler.CompactSourceSyntax.synC0c I))
(SemanticCore.Class.cv (nb077AlphaDummy001 F I))).fv
theorem
NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb077_fresh_413
(x : SemanticCore.Var)
(F I : SemanticCore.Class)
:
nb077AlphaDummy008 x F I ∉
(Compiler.CompactSourceSyntax.synCnin
(Compiler.CompactSourceSyntax.synCsn
(Compiler.CompactSourceSyntax.synCop Compiler.CompactSourceSyntax.synC0c I))
(SemanticCore.Class.cv (nb077AlphaDummy002 x F I))).fv ∪ (Compiler.CompactSourceSyntax.synCnin
(Compiler.CompactSourceSyntax.synCsn
(Compiler.CompactSourceSyntax.synCop Compiler.CompactSourceSyntax.synC0c I))
(SemanticCore.Class.cv (nb077AlphaDummy002 x F I))).fv
theorem
NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb077_fresh_415
(x : SemanticCore.Var)
(F I : SemanticCore.Class)
:
theorem
NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb077_fresh_430
(F I : SemanticCore.Class)
:
nb077AlphaDummy015 F I ∉
(Compiler.CompactSourceSyntax.synCpprod
(Compiler.CompactSourceSyntax.synCmpt (nb077AlphaDummy000 F I) Compiler.CompactSourceSyntax.synCvv
(Compiler.CompactSourceSyntax.synCplc (SemanticCore.Class.cv (nb077AlphaDummy000 F I))
Compiler.CompactSourceSyntax.synC1c))
F).fv ∪ (SemanticCore.Class.cv (nb077AlphaDummy001 F I)).fv
theorem
NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb077_fresh_431
(F I : SemanticCore.Class)
:
nb077AlphaDummy016 F I ∉
(Compiler.CompactSourceSyntax.synCpprod
(Compiler.CompactSourceSyntax.synCmpt (nb077AlphaDummy000 F I) Compiler.CompactSourceSyntax.synCvv
(Compiler.CompactSourceSyntax.synCplc (SemanticCore.Class.cv (nb077AlphaDummy000 F I))
Compiler.CompactSourceSyntax.synC1c))
F).fv ∪ (SemanticCore.Class.cv (nb077AlphaDummy001 F I)).fv
theorem
NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb077_fresh_433
(x : SemanticCore.Var)
(F I : SemanticCore.Class)
:
nb077AlphaDummy017 x F I ∉
(Compiler.CompactSourceSyntax.synCpprod
(Compiler.CompactSourceSyntax.synCmpt x Compiler.CompactSourceSyntax.synCvv
(Compiler.CompactSourceSyntax.synCplc (SemanticCore.Class.cv x) Compiler.CompactSourceSyntax.synC1c))
F).fv ∪ (SemanticCore.Class.cv (nb077AlphaDummy002 x F I)).fv
theorem
NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb077_fresh_434
(x : SemanticCore.Var)
(F I : SemanticCore.Class)
:
nb077AlphaDummy018 x F I ∉
(Compiler.CompactSourceSyntax.synCpprod
(Compiler.CompactSourceSyntax.synCmpt x Compiler.CompactSourceSyntax.synCvv
(Compiler.CompactSourceSyntax.synCplc (SemanticCore.Class.cv x) Compiler.CompactSourceSyntax.synC1c))
F).fv ∪ (SemanticCore.Class.cv (nb077AlphaDummy002 x F I)).fv
theorem
NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb077_fresh_437
(x : SemanticCore.Var)
(F I : SemanticCore.Class)
:
theorem
NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb077_fresh_438
(F I : SemanticCore.Class)
:
nb077AlphaDummy001 F I ∉
(Compiler.CompactSourceSyntax.synCsn (Compiler.CompactSourceSyntax.synCop Compiler.CompactSourceSyntax.synC0c I)).fv ∪ (Compiler.CompactSourceSyntax.synCpprod
(Compiler.CompactSourceSyntax.synCmpt (nb077AlphaDummy000 F I) Compiler.CompactSourceSyntax.synCvv
(Compiler.CompactSourceSyntax.synCplc (SemanticCore.Class.cv (nb077AlphaDummy000 F I))
Compiler.CompactSourceSyntax.synC1c))
F).fv
theorem
NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb077_fresh_439
(x : SemanticCore.Var)
(F I : SemanticCore.Class)
:
nb077AlphaDummy002 x F I ∉
(Compiler.CompactSourceSyntax.synCsn (Compiler.CompactSourceSyntax.synCop Compiler.CompactSourceSyntax.synC0c I)).fv ∪ (Compiler.CompactSourceSyntax.synCpprod
(Compiler.CompactSourceSyntax.synCmpt x Compiler.CompactSourceSyntax.synCvv
(Compiler.CompactSourceSyntax.synCplc (SemanticCore.Class.cv x) Compiler.CompactSourceSyntax.synC1c))
F).fv
theorem
NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb077_fresh_440
(F I : SemanticCore.Class)
:
nb077AlphaDummy000 F I ∉ F.fv ∪ I.fv
theorem
NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb077_fresh_442
(F I : SemanticCore.Class)
:
nb077AlphaDummy257 F I ∉
{nb077AlphaDummy000 F I} ∪ {nb077AlphaDummy255 F I} ∪ (Compiler.CompactSourceSyntax.synWa
(SemanticCore.Wff.classMem (SemanticCore.Class.cv (nb077AlphaDummy000 F I)) Compiler.CompactSourceSyntax.synCvv)
(SemanticCore.Wff.classEq (SemanticCore.Class.cv (nb077AlphaDummy255 F I))
(Compiler.CompactSourceSyntax.synCplc (SemanticCore.Class.cv (nb077AlphaDummy000 F I))
Compiler.CompactSourceSyntax.synC1c))).fv
theorem
NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb077_fresh_443
(F I : SemanticCore.Class)
:
nb077AlphaDummy065 F I ∉
{nb077AlphaDummy059 F I} ∪ {nb077AlphaDummy060 F I} ∪ (Compiler.CompactSourceSyntax.synWex (nb077AlphaDummy061 F I)
(Compiler.CompactSourceSyntax.synWa
(Compiler.CompactSourceSyntax.synWbr (SemanticCore.Class.cv (nb077AlphaDummy059 F I))
(Compiler.CompactSourceSyntax.synCcom
(Compiler.CompactSourceSyntax.synCmpt (nb077AlphaDummy000 F I) Compiler.CompactSourceSyntax.synCvv
(Compiler.CompactSourceSyntax.synCplc (SemanticCore.Class.cv (nb077AlphaDummy000 F I))
Compiler.CompactSourceSyntax.synC1c))
Compiler.CompactSourceSyntax.synC1st)
(SemanticCore.Class.cv (nb077AlphaDummy061 F I)))
(Compiler.CompactSourceSyntax.synWbr (SemanticCore.Class.cv (nb077AlphaDummy061 F I))
(Compiler.CompactSourceSyntax.synCcnv Compiler.CompactSourceSyntax.synC1st)
(SemanticCore.Class.cv (nb077AlphaDummy060 F I))))).fv
theorem
NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb077_fresh_444
(x : SemanticCore.Var)
:
nb077AlphaDummy066 x ∉
{nb077AlphaDummy062 x} ∪ {nb077AlphaDummy063 x} ∪ (Compiler.CompactSourceSyntax.synWex (nb077AlphaDummy064 x)
(Compiler.CompactSourceSyntax.synWa
(Compiler.CompactSourceSyntax.synWbr (SemanticCore.Class.cv (nb077AlphaDummy062 x))
(Compiler.CompactSourceSyntax.synCcom
(Compiler.CompactSourceSyntax.synCmpt x Compiler.CompactSourceSyntax.synCvv
(Compiler.CompactSourceSyntax.synCplc (SemanticCore.Class.cv x) Compiler.CompactSourceSyntax.synC1c))
Compiler.CompactSourceSyntax.synC1st)
(SemanticCore.Class.cv (nb077AlphaDummy064 x)))
(Compiler.CompactSourceSyntax.synWbr (SemanticCore.Class.cv (nb077AlphaDummy064 x))
(Compiler.CompactSourceSyntax.synCcnv Compiler.CompactSourceSyntax.synC1st)
(SemanticCore.Class.cv (nb077AlphaDummy063 x))))).fv
theorem
NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb077_fresh_445
(F I : SemanticCore.Class)
:
nb077AlphaDummy145 F I ∉
{nb077AlphaDummy139 F I} ∪ {nb077AlphaDummy140 F I} ∪ (Compiler.CompactSourceSyntax.synWex (nb077AlphaDummy141 F I)
(Compiler.CompactSourceSyntax.synWa
(Compiler.CompactSourceSyntax.synWbr (SemanticCore.Class.cv (nb077AlphaDummy139 F I))
Compiler.CompactSourceSyntax.synC1st (SemanticCore.Class.cv (nb077AlphaDummy141 F I)))
(Compiler.CompactSourceSyntax.synWbr (SemanticCore.Class.cv (nb077AlphaDummy141 F I))
(Compiler.CompactSourceSyntax.synCmpt (nb077AlphaDummy000 F I) Compiler.CompactSourceSyntax.synCvv
(Compiler.CompactSourceSyntax.synCplc (SemanticCore.Class.cv (nb077AlphaDummy000 F I))
Compiler.CompactSourceSyntax.synC1c))
(SemanticCore.Class.cv (nb077AlphaDummy140 F I))))).fv
theorem
NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb077_fresh_446
(x : SemanticCore.Var)
:
nb077AlphaDummy146 x ∉
{nb077AlphaDummy142 x} ∪ {nb077AlphaDummy143 x} ∪ (Compiler.CompactSourceSyntax.synWex (nb077AlphaDummy144 x)
(Compiler.CompactSourceSyntax.synWa
(Compiler.CompactSourceSyntax.synWbr (SemanticCore.Class.cv (nb077AlphaDummy142 x))
Compiler.CompactSourceSyntax.synC1st (SemanticCore.Class.cv (nb077AlphaDummy144 x)))
(Compiler.CompactSourceSyntax.synWbr (SemanticCore.Class.cv (nb077AlphaDummy144 x))
(Compiler.CompactSourceSyntax.synCmpt x Compiler.CompactSourceSyntax.synCvv
(Compiler.CompactSourceSyntax.synCplc (SemanticCore.Class.cv x) Compiler.CompactSourceSyntax.synC1c))
(SemanticCore.Class.cv (nb077AlphaDummy143 x))))).fv
theorem
NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb077_fresh_448
(x : SemanticCore.Var)
:
nb077AlphaDummy258 x ∉
{x} ∪ {nb077AlphaDummy256 x} ∪ (Compiler.CompactSourceSyntax.synWa
(SemanticCore.Wff.classMem (SemanticCore.Class.cv x) Compiler.CompactSourceSyntax.synCvv)
(SemanticCore.Wff.classEq (SemanticCore.Class.cv (nb077AlphaDummy256 x))
(Compiler.CompactSourceSyntax.synCplc (SemanticCore.Class.cv x) Compiler.CompactSourceSyntax.synC1c))).fv
theorem
NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb077_support_mem_0000
(F I : SemanticCore.Class)
:
nb077AlphaDummy001 F I ∈ (Compiler.CompactSourceSyntax.synCnin
(Compiler.CompactSourceSyntax.synCsn
(Compiler.CompactSourceSyntax.synCop Compiler.CompactSourceSyntax.synC0c I))
(SemanticCore.Class.cv (nb077AlphaDummy001 F I))).fv ∪ (Compiler.CompactSourceSyntax.synCnin
(Compiler.CompactSourceSyntax.synCsn
(Compiler.CompactSourceSyntax.synCop Compiler.CompactSourceSyntax.synC0c I))
(SemanticCore.Class.cv (nb077AlphaDummy001 F I))).fv
theorem
NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb077_support_mem_0001
(x : SemanticCore.Var)
(F I : SemanticCore.Class)
:
nb077AlphaDummy002 x F I ∈ (Compiler.CompactSourceSyntax.synCnin
(Compiler.CompactSourceSyntax.synCsn
(Compiler.CompactSourceSyntax.synCop Compiler.CompactSourceSyntax.synC0c I))
(SemanticCore.Class.cv (nb077AlphaDummy002 x F I))).fv ∪ (Compiler.CompactSourceSyntax.synCnin
(Compiler.CompactSourceSyntax.synCsn
(Compiler.CompactSourceSyntax.synCop Compiler.CompactSourceSyntax.synC0c I))
(SemanticCore.Class.cv (nb077AlphaDummy002 x F I))).fv
theorem
NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb077_support_mem_0004
(F I : SemanticCore.Class)
:
nb077AlphaDummy001 F I ∈ (Compiler.CompactSourceSyntax.synCnin
(Compiler.CompactSourceSyntax.synCima
(Compiler.CompactSourceSyntax.synCpprod
(Compiler.CompactSourceSyntax.synCmpt (nb077AlphaDummy000 F I) Compiler.CompactSourceSyntax.synCvv
(Compiler.CompactSourceSyntax.synCplc (SemanticCore.Class.cv (nb077AlphaDummy000 F I))
Compiler.CompactSourceSyntax.synC1c))
F)
(SemanticCore.Class.cv (nb077AlphaDummy001 F I)))
(SemanticCore.Class.cv (nb077AlphaDummy001 F I))).fv ∪ (Compiler.CompactSourceSyntax.synCnin
(Compiler.CompactSourceSyntax.synCima
(Compiler.CompactSourceSyntax.synCpprod
(Compiler.CompactSourceSyntax.synCmpt (nb077AlphaDummy000 F I) Compiler.CompactSourceSyntax.synCvv
(Compiler.CompactSourceSyntax.synCplc (SemanticCore.Class.cv (nb077AlphaDummy000 F I))
Compiler.CompactSourceSyntax.synC1c))
F)
(SemanticCore.Class.cv (nb077AlphaDummy001 F I)))
(SemanticCore.Class.cv (nb077AlphaDummy001 F I))).fv
theorem
NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb077_support_mem_0005
(x : SemanticCore.Var)
(F I : SemanticCore.Class)
:
nb077AlphaDummy002 x F I ∈ (Compiler.CompactSourceSyntax.synCnin
(Compiler.CompactSourceSyntax.synCima
(Compiler.CompactSourceSyntax.synCpprod
(Compiler.CompactSourceSyntax.synCmpt x Compiler.CompactSourceSyntax.synCvv
(Compiler.CompactSourceSyntax.synCplc (SemanticCore.Class.cv x) Compiler.CompactSourceSyntax.synC1c))
F)
(SemanticCore.Class.cv (nb077AlphaDummy002 x F I)))
(SemanticCore.Class.cv (nb077AlphaDummy002 x F I))).fv ∪ (Compiler.CompactSourceSyntax.synCnin
(Compiler.CompactSourceSyntax.synCima
(Compiler.CompactSourceSyntax.synCpprod
(Compiler.CompactSourceSyntax.synCmpt x Compiler.CompactSourceSyntax.synCvv
(Compiler.CompactSourceSyntax.synCplc (SemanticCore.Class.cv x) Compiler.CompactSourceSyntax.synC1c))
F)
(SemanticCore.Class.cv (nb077AlphaDummy002 x F I)))
(SemanticCore.Class.cv (nb077AlphaDummy002 x F I))).fv
theorem
NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb077_support_mem_0006
(F I : SemanticCore.Class)
:
nb077AlphaDummy001 F I ∈ (Compiler.CompactSourceSyntax.synCima
(Compiler.CompactSourceSyntax.synCpprod
(Compiler.CompactSourceSyntax.synCmpt (nb077AlphaDummy000 F I) Compiler.CompactSourceSyntax.synCvv
(Compiler.CompactSourceSyntax.synCplc (SemanticCore.Class.cv (nb077AlphaDummy000 F I))
Compiler.CompactSourceSyntax.synC1c))
F)
(SemanticCore.Class.cv (nb077AlphaDummy001 F I))).fv ∪ (SemanticCore.Class.cv (nb077AlphaDummy001 F I)).fv
theorem
NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb077_support_mem_0007
(x : SemanticCore.Var)
(F I : SemanticCore.Class)
:
nb077AlphaDummy002 x F I ∈ (Compiler.CompactSourceSyntax.synCima
(Compiler.CompactSourceSyntax.synCpprod
(Compiler.CompactSourceSyntax.synCmpt x Compiler.CompactSourceSyntax.synCvv
(Compiler.CompactSourceSyntax.synCplc (SemanticCore.Class.cv x) Compiler.CompactSourceSyntax.synC1c))
F)
(SemanticCore.Class.cv (nb077AlphaDummy002 x F I))).fv ∪ (SemanticCore.Class.cv (nb077AlphaDummy002 x F I)).fv
theorem
NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb077_support_mem_0008
(F I : SemanticCore.Class)
:
nb077AlphaDummy001 F I ∈ (Compiler.CompactSourceSyntax.synCpprod
(Compiler.CompactSourceSyntax.synCmpt (nb077AlphaDummy000 F I) Compiler.CompactSourceSyntax.synCvv
(Compiler.CompactSourceSyntax.synCplc (SemanticCore.Class.cv (nb077AlphaDummy000 F I))
Compiler.CompactSourceSyntax.synC1c))
F).fv ∪ (SemanticCore.Class.cv (nb077AlphaDummy001 F I)).fv
theorem
NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb077_support_mem_0009
(x : SemanticCore.Var)
(F I : SemanticCore.Class)
:
nb077AlphaDummy002 x F I ∈ (Compiler.CompactSourceSyntax.synCpprod
(Compiler.CompactSourceSyntax.synCmpt x Compiler.CompactSourceSyntax.synCvv
(Compiler.CompactSourceSyntax.synCplc (SemanticCore.Class.cv x) Compiler.CompactSourceSyntax.synC1c))
F).fv ∪ (SemanticCore.Class.cv (nb077AlphaDummy002 x F I)).fv
theorem
NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb077_support_mem_0011
(F I : SemanticCore.Class)
:
nb077AlphaDummy016 F I ∈ (Compiler.CompactSourceSyntax.synCcompl
(SemanticCore.Class.cab (nb077AlphaDummy019 F I)
(Compiler.CompactSourceSyntax.synWrex (nb077AlphaDummy020 F I)
(SemanticCore.Class.cv (nb077AlphaDummy016 F I))
(SemanticCore.Wff.classEq (SemanticCore.Class.cv (nb077AlphaDummy019 F I))
(Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv (nb077AlphaDummy020 F I))))))).fv ∪ (Compiler.CompactSourceSyntax.synCcompl
(SemanticCore.Class.cab (nb077AlphaDummy019 F I)
(Compiler.CompactSourceSyntax.synWrex (nb077AlphaDummy020 F I)
(SemanticCore.Class.cv (nb077AlphaDummy015 F I))
(SemanticCore.Wff.classEq (SemanticCore.Class.cv (nb077AlphaDummy019 F I))
(Compiler.CompactSourceSyntax.synCun
(Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv (nb077AlphaDummy020 F I)))
(Compiler.CompactSourceSyntax.synCsn Compiler.CompactSourceSyntax.synC0c)))))).fv
theorem
NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb077_support_mem_0012
(x : SemanticCore.Var)
(F I : SemanticCore.Class)
:
nb077AlphaDummy018 x F I ∈ (SemanticCore.Class.cv (nb077AlphaDummy018 x F I)).fv ∪ (SemanticCore.Class.cv (nb077AlphaDummy017 x F I)).fv
theorem
NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb077_support_mem_0013
(x : SemanticCore.Var)
(F I : SemanticCore.Class)
:
nb077AlphaDummy018 x F I ∈ (Compiler.CompactSourceSyntax.synCcompl
(SemanticCore.Class.cab (nb077AlphaDummy021 x F I)
(Compiler.CompactSourceSyntax.synWrex (nb077AlphaDummy022 x F I)
(SemanticCore.Class.cv (nb077AlphaDummy018 x F I))
(SemanticCore.Wff.classEq (SemanticCore.Class.cv (nb077AlphaDummy021 x F I))
(Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv (nb077AlphaDummy022 x F I))))))).fv ∪ (Compiler.CompactSourceSyntax.synCcompl
(SemanticCore.Class.cab (nb077AlphaDummy021 x F I)
(Compiler.CompactSourceSyntax.synWrex (nb077AlphaDummy022 x F I)
(SemanticCore.Class.cv (nb077AlphaDummy017 x F I))
(SemanticCore.Wff.classEq (SemanticCore.Class.cv (nb077AlphaDummy021 x F I))
(Compiler.CompactSourceSyntax.synCun
(Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv (nb077AlphaDummy022 x F I)))
(Compiler.CompactSourceSyntax.synCsn Compiler.CompactSourceSyntax.synC0c)))))).fv
theorem
NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb077_support_mem_0014
(F I : SemanticCore.Class)
:
nb077AlphaDummy016 F I ∈ (SemanticCore.Class.cab (nb077AlphaDummy019 F I)
(Compiler.CompactSourceSyntax.synWrex (nb077AlphaDummy020 F I) (SemanticCore.Class.cv (nb077AlphaDummy016 F I))
(SemanticCore.Wff.classEq (SemanticCore.Class.cv (nb077AlphaDummy019 F I))
(Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv (nb077AlphaDummy020 F I)))))).fv ∪ (SemanticCore.Class.cab (nb077AlphaDummy019 F I)
(Compiler.CompactSourceSyntax.synWrex (nb077AlphaDummy020 F I) (SemanticCore.Class.cv (nb077AlphaDummy016 F I))
(SemanticCore.Wff.classEq (SemanticCore.Class.cv (nb077AlphaDummy019 F I))
(Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv (nb077AlphaDummy020 F I)))))).fv
theorem
NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb077_support_mem_0015
(x : SemanticCore.Var)
(F I : SemanticCore.Class)
:
nb077AlphaDummy018 x F I ∈ (SemanticCore.Class.cab (nb077AlphaDummy021 x F I)
(Compiler.CompactSourceSyntax.synWrex (nb077AlphaDummy022 x F I)
(SemanticCore.Class.cv (nb077AlphaDummy018 x F I))
(SemanticCore.Wff.classEq (SemanticCore.Class.cv (nb077AlphaDummy021 x F I))
(Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv (nb077AlphaDummy022 x F I)))))).fv ∪ (SemanticCore.Class.cab (nb077AlphaDummy021 x F I)
(Compiler.CompactSourceSyntax.synWrex (nb077AlphaDummy022 x F I)
(SemanticCore.Class.cv (nb077AlphaDummy018 x F I))
(SemanticCore.Wff.classEq (SemanticCore.Class.cv (nb077AlphaDummy021 x F I))
(Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv (nb077AlphaDummy022 x F I)))))).fv
theorem
NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb077_support_mem_0018
(F I : SemanticCore.Class)
:
nb077AlphaDummy027 F I ∈ (SemanticCore.Wff.classMem (SemanticCore.Class.cv (nb077AlphaDummy027 F I)) Compiler.CompactSourceSyntax.synCnnc).fv ∪ (Compiler.CompactSourceSyntax.synCplc (SemanticCore.Class.cv (nb077AlphaDummy027 F I))
Compiler.CompactSourceSyntax.synC1c).fv ∪ (SemanticCore.Class.cv (nb077AlphaDummy027 F I)).fv
theorem
NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb077_support_mem_0019
(x : SemanticCore.Var)
(F I : SemanticCore.Class)
:
nb077AlphaDummy029 x F I ∈ (SemanticCore.Wff.classMem (SemanticCore.Class.cv (nb077AlphaDummy029 x F I))
Compiler.CompactSourceSyntax.synCnnc).fv ∪ (Compiler.CompactSourceSyntax.synCplc (SemanticCore.Class.cv (nb077AlphaDummy029 x F I))
Compiler.CompactSourceSyntax.synC1c).fv ∪ (SemanticCore.Class.cv (nb077AlphaDummy029 x F I)).fv
theorem
NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb077_support_mem_0022
(F I : SemanticCore.Class)
:
nb077AlphaDummy034 F I ∈ (Compiler.CompactSourceSyntax.synCnin (SemanticCore.Class.cv (nb077AlphaDummy034 F I))
(SemanticCore.Class.cv (nb077AlphaDummy035 F I))).fv ∪ (Compiler.CompactSourceSyntax.synCnin (SemanticCore.Class.cv (nb077AlphaDummy034 F I))
(SemanticCore.Class.cv (nb077AlphaDummy035 F I))).fv
theorem
NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb077_support_mem_0023
(x : SemanticCore.Var)
(F I : SemanticCore.Class)
:
nb077AlphaDummy037 x F I ∈ (Compiler.CompactSourceSyntax.synCnin (SemanticCore.Class.cv (nb077AlphaDummy037 x F I))
(SemanticCore.Class.cv (nb077AlphaDummy038 x F I))).fv ∪ (Compiler.CompactSourceSyntax.synCnin (SemanticCore.Class.cv (nb077AlphaDummy037 x F I))
(SemanticCore.Class.cv (nb077AlphaDummy038 x F I))).fv
theorem
NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb077_support_mem_0025
(x : SemanticCore.Var)
(F I : SemanticCore.Class)
:
nb077AlphaDummy037 x F I ∈ (SemanticCore.Class.cv (nb077AlphaDummy037 x F I)).fv ∪ (SemanticCore.Class.cv (nb077AlphaDummy038 x F I)).fv
theorem
NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb077_support_mem_0026
(F I : SemanticCore.Class)
:
nb077AlphaDummy035 F I ∈ (Compiler.CompactSourceSyntax.synCnin (SemanticCore.Class.cv (nb077AlphaDummy034 F I))
(SemanticCore.Class.cv (nb077AlphaDummy035 F I))).fv ∪ (Compiler.CompactSourceSyntax.synCnin (SemanticCore.Class.cv (nb077AlphaDummy034 F I))
(SemanticCore.Class.cv (nb077AlphaDummy035 F I))).fv
theorem
NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb077_support_mem_0027
(x : SemanticCore.Var)
(F I : SemanticCore.Class)
:
nb077AlphaDummy038 x F I ∈ (Compiler.CompactSourceSyntax.synCnin (SemanticCore.Class.cv (nb077AlphaDummy037 x F I))
(SemanticCore.Class.cv (nb077AlphaDummy038 x F I))).fv ∪ (Compiler.CompactSourceSyntax.synCnin (SemanticCore.Class.cv (nb077AlphaDummy037 x F I))
(SemanticCore.Class.cv (nb077AlphaDummy038 x F I))).fv
theorem
NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb077_support_mem_0029
(x : SemanticCore.Var)
(F I : SemanticCore.Class)
:
nb077AlphaDummy038 x F I ∈ (SemanticCore.Class.cv (nb077AlphaDummy037 x F I)).fv ∪ (SemanticCore.Class.cv (nb077AlphaDummy038 x F I)).fv
theorem
NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb077_support_mem_0033
(x : SemanticCore.Var)
(F I : SemanticCore.Class)
:
nb077AlphaDummy037 x F I ∈ (SemanticCore.Class.cv (nb077AlphaDummy037 x F I)).fv ∪ (SemanticCore.Class.cv (nb077AlphaDummy037 x F I)).fv
theorem
NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb077_support_mem_0037
(x : SemanticCore.Var)
(F I : SemanticCore.Class)
:
nb077AlphaDummy038 x F I ∈ (SemanticCore.Class.cv (nb077AlphaDummy038 x F I)).fv ∪ (SemanticCore.Class.cv (nb077AlphaDummy038 x F I)).fv
Certificates from NAR4C077C001Part007.
theorem
NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb077_support_mem_0039
(F I : SemanticCore.Class)
:
nb077AlphaDummy015 F I ∈ (Compiler.CompactSourceSyntax.synCcompl
(SemanticCore.Class.cab (nb077AlphaDummy019 F I)
(Compiler.CompactSourceSyntax.synWrex (nb077AlphaDummy020 F I)
(SemanticCore.Class.cv (nb077AlphaDummy016 F I))
(SemanticCore.Wff.classEq (SemanticCore.Class.cv (nb077AlphaDummy019 F I))
(Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv (nb077AlphaDummy020 F I))))))).fv ∪ (Compiler.CompactSourceSyntax.synCcompl
(SemanticCore.Class.cab (nb077AlphaDummy019 F I)
(Compiler.CompactSourceSyntax.synWrex (nb077AlphaDummy020 F I)
(SemanticCore.Class.cv (nb077AlphaDummy015 F I))
(SemanticCore.Wff.classEq (SemanticCore.Class.cv (nb077AlphaDummy019 F I))
(Compiler.CompactSourceSyntax.synCun
(Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv (nb077AlphaDummy020 F I)))
(Compiler.CompactSourceSyntax.synCsn Compiler.CompactSourceSyntax.synC0c)))))).fv
theorem
NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb077_support_mem_0040
(x : SemanticCore.Var)
(F I : SemanticCore.Class)
:
nb077AlphaDummy017 x F I ∈ (SemanticCore.Class.cv (nb077AlphaDummy018 x F I)).fv ∪ (SemanticCore.Class.cv (nb077AlphaDummy017 x F I)).fv
theorem
NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb077_support_mem_0041
(x : SemanticCore.Var)
(F I : SemanticCore.Class)
:
nb077AlphaDummy017 x F I ∈ (Compiler.CompactSourceSyntax.synCcompl
(SemanticCore.Class.cab (nb077AlphaDummy021 x F I)
(Compiler.CompactSourceSyntax.synWrex (nb077AlphaDummy022 x F I)
(SemanticCore.Class.cv (nb077AlphaDummy018 x F I))
(SemanticCore.Wff.classEq (SemanticCore.Class.cv (nb077AlphaDummy021 x F I))
(Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv (nb077AlphaDummy022 x F I))))))).fv ∪ (Compiler.CompactSourceSyntax.synCcompl
(SemanticCore.Class.cab (nb077AlphaDummy021 x F I)
(Compiler.CompactSourceSyntax.synWrex (nb077AlphaDummy022 x F I)
(SemanticCore.Class.cv (nb077AlphaDummy017 x F I))
(SemanticCore.Wff.classEq (SemanticCore.Class.cv (nb077AlphaDummy021 x F I))
(Compiler.CompactSourceSyntax.synCun
(Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv (nb077AlphaDummy022 x F I)))
(Compiler.CompactSourceSyntax.synCsn Compiler.CompactSourceSyntax.synC0c)))))).fv
theorem
NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb077_support_mem_0042
(F I : SemanticCore.Class)
:
nb077AlphaDummy015 F I ∈ (SemanticCore.Class.cab (nb077AlphaDummy019 F I)
(Compiler.CompactSourceSyntax.synWrex (nb077AlphaDummy020 F I) (SemanticCore.Class.cv (nb077AlphaDummy015 F I))
(SemanticCore.Wff.classEq (SemanticCore.Class.cv (nb077AlphaDummy019 F I))
(Compiler.CompactSourceSyntax.synCun
(Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv (nb077AlphaDummy020 F I)))
(Compiler.CompactSourceSyntax.synCsn Compiler.CompactSourceSyntax.synC0c))))).fv ∪ (SemanticCore.Class.cab (nb077AlphaDummy019 F I)
(Compiler.CompactSourceSyntax.synWrex (nb077AlphaDummy020 F I) (SemanticCore.Class.cv (nb077AlphaDummy015 F I))
(SemanticCore.Wff.classEq (SemanticCore.Class.cv (nb077AlphaDummy019 F I))
(Compiler.CompactSourceSyntax.synCun
(Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv (nb077AlphaDummy020 F I)))
(Compiler.CompactSourceSyntax.synCsn Compiler.CompactSourceSyntax.synC0c))))).fv
theorem
NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb077_support_mem_0043
(x : SemanticCore.Var)
(F I : SemanticCore.Class)
:
nb077AlphaDummy017 x F I ∈ (SemanticCore.Class.cab (nb077AlphaDummy021 x F I)
(Compiler.CompactSourceSyntax.synWrex (nb077AlphaDummy022 x F I)
(SemanticCore.Class.cv (nb077AlphaDummy017 x F I))
(SemanticCore.Wff.classEq (SemanticCore.Class.cv (nb077AlphaDummy021 x F I))
(Compiler.CompactSourceSyntax.synCun
(Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv (nb077AlphaDummy022 x F I)))
(Compiler.CompactSourceSyntax.synCsn Compiler.CompactSourceSyntax.synC0c))))).fv ∪ (SemanticCore.Class.cab (nb077AlphaDummy021 x F I)
(Compiler.CompactSourceSyntax.synWrex (nb077AlphaDummy022 x F I)
(SemanticCore.Class.cv (nb077AlphaDummy017 x F I))
(SemanticCore.Wff.classEq (SemanticCore.Class.cv (nb077AlphaDummy021 x F I))
(Compiler.CompactSourceSyntax.synCun
(Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv (nb077AlphaDummy022 x F I)))
(Compiler.CompactSourceSyntax.synCsn Compiler.CompactSourceSyntax.synC0c))))).fv
theorem
NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb077_support_mem_0048
(F I : SemanticCore.Class)
:
nb077AlphaDummy059 F I ∈ {nb077AlphaDummy059 F I} ∪ {nb077AlphaDummy060 F I} ∪ (Compiler.CompactSourceSyntax.synWex (nb077AlphaDummy061 F I)
(Compiler.CompactSourceSyntax.synWa
(Compiler.CompactSourceSyntax.synWbr (SemanticCore.Class.cv (nb077AlphaDummy059 F I))
(Compiler.CompactSourceSyntax.synCcom
(Compiler.CompactSourceSyntax.synCmpt (nb077AlphaDummy000 F I) Compiler.CompactSourceSyntax.synCvv
(Compiler.CompactSourceSyntax.synCplc (SemanticCore.Class.cv (nb077AlphaDummy000 F I))
Compiler.CompactSourceSyntax.synC1c))
Compiler.CompactSourceSyntax.synC1st)
(SemanticCore.Class.cv (nb077AlphaDummy061 F I)))
(Compiler.CompactSourceSyntax.synWbr (SemanticCore.Class.cv (nb077AlphaDummy061 F I))
(Compiler.CompactSourceSyntax.synCcnv Compiler.CompactSourceSyntax.synC1st)
(SemanticCore.Class.cv (nb077AlphaDummy060 F I))))).fv
theorem
NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb077_support_mem_0049
(x : SemanticCore.Var)
:
nb077AlphaDummy062 x ∈ {nb077AlphaDummy062 x} ∪ {nb077AlphaDummy063 x} ∪ (Compiler.CompactSourceSyntax.synWex (nb077AlphaDummy064 x)
(Compiler.CompactSourceSyntax.synWa
(Compiler.CompactSourceSyntax.synWbr (SemanticCore.Class.cv (nb077AlphaDummy062 x))
(Compiler.CompactSourceSyntax.synCcom
(Compiler.CompactSourceSyntax.synCmpt x Compiler.CompactSourceSyntax.synCvv
(Compiler.CompactSourceSyntax.synCplc (SemanticCore.Class.cv x) Compiler.CompactSourceSyntax.synC1c))
Compiler.CompactSourceSyntax.synC1st)
(SemanticCore.Class.cv (nb077AlphaDummy064 x)))
(Compiler.CompactSourceSyntax.synWbr (SemanticCore.Class.cv (nb077AlphaDummy064 x))
(Compiler.CompactSourceSyntax.synCcnv Compiler.CompactSourceSyntax.synC1st)
(SemanticCore.Class.cv (nb077AlphaDummy063 x))))).fv
theorem
NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb077_support_mem_0050
(F I : SemanticCore.Class)
:
nb077AlphaDummy060 F I ∈ {nb077AlphaDummy059 F I} ∪ {nb077AlphaDummy060 F I} ∪ (Compiler.CompactSourceSyntax.synWex (nb077AlphaDummy061 F I)
(Compiler.CompactSourceSyntax.synWa
(Compiler.CompactSourceSyntax.synWbr (SemanticCore.Class.cv (nb077AlphaDummy059 F I))
(Compiler.CompactSourceSyntax.synCcom
(Compiler.CompactSourceSyntax.synCmpt (nb077AlphaDummy000 F I) Compiler.CompactSourceSyntax.synCvv
(Compiler.CompactSourceSyntax.synCplc (SemanticCore.Class.cv (nb077AlphaDummy000 F I))
Compiler.CompactSourceSyntax.synC1c))
Compiler.CompactSourceSyntax.synC1st)
(SemanticCore.Class.cv (nb077AlphaDummy061 F I)))
(Compiler.CompactSourceSyntax.synWbr (SemanticCore.Class.cv (nb077AlphaDummy061 F I))
(Compiler.CompactSourceSyntax.synCcnv Compiler.CompactSourceSyntax.synC1st)
(SemanticCore.Class.cv (nb077AlphaDummy060 F I))))).fv
theorem
NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb077_support_mem_0051
(x : SemanticCore.Var)
:
nb077AlphaDummy063 x ∈ {nb077AlphaDummy062 x} ∪ {nb077AlphaDummy063 x} ∪ (Compiler.CompactSourceSyntax.synWex (nb077AlphaDummy064 x)
(Compiler.CompactSourceSyntax.synWa
(Compiler.CompactSourceSyntax.synWbr (SemanticCore.Class.cv (nb077AlphaDummy062 x))
(Compiler.CompactSourceSyntax.synCcom
(Compiler.CompactSourceSyntax.synCmpt x Compiler.CompactSourceSyntax.synCvv
(Compiler.CompactSourceSyntax.synCplc (SemanticCore.Class.cv x) Compiler.CompactSourceSyntax.synC1c))
Compiler.CompactSourceSyntax.synC1st)
(SemanticCore.Class.cv (nb077AlphaDummy064 x)))
(Compiler.CompactSourceSyntax.synWbr (SemanticCore.Class.cv (nb077AlphaDummy064 x))
(Compiler.CompactSourceSyntax.synCcnv Compiler.CompactSourceSyntax.synC1st)
(SemanticCore.Class.cv (nb077AlphaDummy063 x))))).fv
theorem
NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb077_support_mem_0053
(F I : SemanticCore.Class)
:
nb077AlphaDummy059 F I ∈ (Compiler.CompactSourceSyntax.synCcompl
(SemanticCore.Class.cab (nb077AlphaDummy067 F I)
(Compiler.CompactSourceSyntax.synWrex (nb077AlphaDummy068 F I)
(SemanticCore.Class.cv (nb077AlphaDummy059 F I))
(SemanticCore.Wff.classEq (SemanticCore.Class.cv (nb077AlphaDummy067 F I))
(Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv (nb077AlphaDummy068 F I))))))).fv ∪ (Compiler.CompactSourceSyntax.synCcompl
(SemanticCore.Class.cab (nb077AlphaDummy067 F I)
(Compiler.CompactSourceSyntax.synWrex (nb077AlphaDummy068 F I)
(SemanticCore.Class.cv (nb077AlphaDummy060 F I))
(SemanticCore.Wff.classEq (SemanticCore.Class.cv (nb077AlphaDummy067 F I))
(Compiler.CompactSourceSyntax.synCun
(Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv (nb077AlphaDummy068 F I)))
(Compiler.CompactSourceSyntax.synCsn Compiler.CompactSourceSyntax.synC0c)))))).fv
theorem
NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb077_support_mem_0055
(x : SemanticCore.Var)
:
nb077AlphaDummy062 x ∈ (Compiler.CompactSourceSyntax.synCcompl
(SemanticCore.Class.cab (nb077AlphaDummy069 x)
(Compiler.CompactSourceSyntax.synWrex (nb077AlphaDummy070 x) (SemanticCore.Class.cv (nb077AlphaDummy062 x))
(SemanticCore.Wff.classEq (SemanticCore.Class.cv (nb077AlphaDummy069 x))
(Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv (nb077AlphaDummy070 x))))))).fv ∪ (Compiler.CompactSourceSyntax.synCcompl
(SemanticCore.Class.cab (nb077AlphaDummy069 x)
(Compiler.CompactSourceSyntax.synWrex (nb077AlphaDummy070 x) (SemanticCore.Class.cv (nb077AlphaDummy063 x))
(SemanticCore.Wff.classEq (SemanticCore.Class.cv (nb077AlphaDummy069 x))
(Compiler.CompactSourceSyntax.synCun
(Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv (nb077AlphaDummy070 x)))
(Compiler.CompactSourceSyntax.synCsn Compiler.CompactSourceSyntax.synC0c)))))).fv
theorem
NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb077_support_mem_0056
(F I : SemanticCore.Class)
:
nb077AlphaDummy059 F I ∈ (SemanticCore.Class.cab (nb077AlphaDummy067 F I)
(Compiler.CompactSourceSyntax.synWrex (nb077AlphaDummy068 F I) (SemanticCore.Class.cv (nb077AlphaDummy059 F I))
(SemanticCore.Wff.classEq (SemanticCore.Class.cv (nb077AlphaDummy067 F I))
(Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv (nb077AlphaDummy068 F I)))))).fv ∪ (SemanticCore.Class.cab (nb077AlphaDummy067 F I)
(Compiler.CompactSourceSyntax.synWrex (nb077AlphaDummy068 F I) (SemanticCore.Class.cv (nb077AlphaDummy059 F I))
(SemanticCore.Wff.classEq (SemanticCore.Class.cv (nb077AlphaDummy067 F I))
(Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv (nb077AlphaDummy068 F I)))))).fv
theorem
NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb077_support_mem_0057
(x : SemanticCore.Var)
:
nb077AlphaDummy062 x ∈ (SemanticCore.Class.cab (nb077AlphaDummy069 x)
(Compiler.CompactSourceSyntax.synWrex (nb077AlphaDummy070 x) (SemanticCore.Class.cv (nb077AlphaDummy062 x))
(SemanticCore.Wff.classEq (SemanticCore.Class.cv (nb077AlphaDummy069 x))
(Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv (nb077AlphaDummy070 x)))))).fv ∪ (SemanticCore.Class.cab (nb077AlphaDummy069 x)
(Compiler.CompactSourceSyntax.synWrex (nb077AlphaDummy070 x) (SemanticCore.Class.cv (nb077AlphaDummy062 x))
(SemanticCore.Wff.classEq (SemanticCore.Class.cv (nb077AlphaDummy069 x))
(Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv (nb077AlphaDummy070 x)))))).fv
theorem
NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb077_support_mem_0060
(F I : SemanticCore.Class)
:
nb077AlphaDummy075 F I ∈ (SemanticCore.Wff.classMem (SemanticCore.Class.cv (nb077AlphaDummy075 F I)) Compiler.CompactSourceSyntax.synCnnc).fv ∪ (Compiler.CompactSourceSyntax.synCplc (SemanticCore.Class.cv (nb077AlphaDummy075 F I))
Compiler.CompactSourceSyntax.synC1c).fv ∪ (SemanticCore.Class.cv (nb077AlphaDummy075 F I)).fv
theorem
NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb077_support_mem_0061
(x : SemanticCore.Var)
:
nb077AlphaDummy077 x ∈ (SemanticCore.Wff.classMem (SemanticCore.Class.cv (nb077AlphaDummy077 x)) Compiler.CompactSourceSyntax.synCnnc).fv ∪ (Compiler.CompactSourceSyntax.synCplc (SemanticCore.Class.cv (nb077AlphaDummy077 x))
Compiler.CompactSourceSyntax.synC1c).fv ∪ (SemanticCore.Class.cv (nb077AlphaDummy077 x)).fv
theorem
NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb077_support_mem_0064
(F I : SemanticCore.Class)
:
nb077AlphaDummy082 F I ∈ (Compiler.CompactSourceSyntax.synCnin (SemanticCore.Class.cv (nb077AlphaDummy082 F I))
(SemanticCore.Class.cv (nb077AlphaDummy083 F I))).fv ∪ (Compiler.CompactSourceSyntax.synCnin (SemanticCore.Class.cv (nb077AlphaDummy082 F I))
(SemanticCore.Class.cv (nb077AlphaDummy083 F I))).fv
theorem
NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb077_support_mem_0068
(F I : SemanticCore.Class)
:
nb077AlphaDummy083 F I ∈ (Compiler.CompactSourceSyntax.synCnin (SemanticCore.Class.cv (nb077AlphaDummy082 F I))
(SemanticCore.Class.cv (nb077AlphaDummy083 F I))).fv ∪ (Compiler.CompactSourceSyntax.synCnin (SemanticCore.Class.cv (nb077AlphaDummy082 F I))
(SemanticCore.Class.cv (nb077AlphaDummy083 F I))).fv
theorem
NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb077_support_mem_0081
(F I : SemanticCore.Class)
:
nb077AlphaDummy060 F I ∈ (Compiler.CompactSourceSyntax.synCcompl
(SemanticCore.Class.cab (nb077AlphaDummy067 F I)
(Compiler.CompactSourceSyntax.synWrex (nb077AlphaDummy068 F I)
(SemanticCore.Class.cv (nb077AlphaDummy059 F I))
(SemanticCore.Wff.classEq (SemanticCore.Class.cv (nb077AlphaDummy067 F I))
(Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv (nb077AlphaDummy068 F I))))))).fv ∪ (Compiler.CompactSourceSyntax.synCcompl
(SemanticCore.Class.cab (nb077AlphaDummy067 F I)
(Compiler.CompactSourceSyntax.synWrex (nb077AlphaDummy068 F I)
(SemanticCore.Class.cv (nb077AlphaDummy060 F I))
(SemanticCore.Wff.classEq (SemanticCore.Class.cv (nb077AlphaDummy067 F I))
(Compiler.CompactSourceSyntax.synCun
(Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv (nb077AlphaDummy068 F I)))
(Compiler.CompactSourceSyntax.synCsn Compiler.CompactSourceSyntax.synC0c)))))).fv
theorem
NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb077_support_mem_0083
(x : SemanticCore.Var)
:
nb077AlphaDummy063 x ∈ (Compiler.CompactSourceSyntax.synCcompl
(SemanticCore.Class.cab (nb077AlphaDummy069 x)
(Compiler.CompactSourceSyntax.synWrex (nb077AlphaDummy070 x) (SemanticCore.Class.cv (nb077AlphaDummy062 x))
(SemanticCore.Wff.classEq (SemanticCore.Class.cv (nb077AlphaDummy069 x))
(Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv (nb077AlphaDummy070 x))))))).fv ∪ (Compiler.CompactSourceSyntax.synCcompl
(SemanticCore.Class.cab (nb077AlphaDummy069 x)
(Compiler.CompactSourceSyntax.synWrex (nb077AlphaDummy070 x) (SemanticCore.Class.cv (nb077AlphaDummy063 x))
(SemanticCore.Wff.classEq (SemanticCore.Class.cv (nb077AlphaDummy069 x))
(Compiler.CompactSourceSyntax.synCun
(Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv (nb077AlphaDummy070 x)))
(Compiler.CompactSourceSyntax.synCsn Compiler.CompactSourceSyntax.synC0c)))))).fv
theorem
NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb077_support_mem_0084
(F I : SemanticCore.Class)
:
nb077AlphaDummy060 F I ∈ (SemanticCore.Class.cab (nb077AlphaDummy067 F I)
(Compiler.CompactSourceSyntax.synWrex (nb077AlphaDummy068 F I) (SemanticCore.Class.cv (nb077AlphaDummy060 F I))
(SemanticCore.Wff.classEq (SemanticCore.Class.cv (nb077AlphaDummy067 F I))
(Compiler.CompactSourceSyntax.synCun
(Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv (nb077AlphaDummy068 F I)))
(Compiler.CompactSourceSyntax.synCsn Compiler.CompactSourceSyntax.synC0c))))).fv ∪ (SemanticCore.Class.cab (nb077AlphaDummy067 F I)
(Compiler.CompactSourceSyntax.synWrex (nb077AlphaDummy068 F I) (SemanticCore.Class.cv (nb077AlphaDummy060 F I))
(SemanticCore.Wff.classEq (SemanticCore.Class.cv (nb077AlphaDummy067 F I))
(Compiler.CompactSourceSyntax.synCun
(Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv (nb077AlphaDummy068 F I)))
(Compiler.CompactSourceSyntax.synCsn Compiler.CompactSourceSyntax.synC0c))))).fv
theorem
NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb077_support_mem_0085
(x : SemanticCore.Var)
:
nb077AlphaDummy063 x ∈ (SemanticCore.Class.cab (nb077AlphaDummy069 x)
(Compiler.CompactSourceSyntax.synWrex (nb077AlphaDummy070 x) (SemanticCore.Class.cv (nb077AlphaDummy063 x))
(SemanticCore.Wff.classEq (SemanticCore.Class.cv (nb077AlphaDummy069 x))
(Compiler.CompactSourceSyntax.synCun
(Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv (nb077AlphaDummy070 x)))
(Compiler.CompactSourceSyntax.synCsn Compiler.CompactSourceSyntax.synC0c))))).fv ∪ (SemanticCore.Class.cab (nb077AlphaDummy069 x)
(Compiler.CompactSourceSyntax.synWrex (nb077AlphaDummy070 x) (SemanticCore.Class.cv (nb077AlphaDummy063 x))
(SemanticCore.Wff.classEq (SemanticCore.Class.cv (nb077AlphaDummy069 x))
(Compiler.CompactSourceSyntax.synCun
(Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv (nb077AlphaDummy070 x)))
(Compiler.CompactSourceSyntax.synCsn Compiler.CompactSourceSyntax.synC0c))))).fv
theorem
NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb077_support_mem_0091
(F I : SemanticCore.Class)
:
nb077AlphaDummy059 F I ∈ (Compiler.CompactSourceSyntax.synCcompl
(SemanticCore.Class.cab (nb077AlphaDummy103 F I)
(Compiler.CompactSourceSyntax.synWrex (nb077AlphaDummy104 F I)
(SemanticCore.Class.cv (nb077AlphaDummy059 F I))
(SemanticCore.Wff.classEq (SemanticCore.Class.cv (nb077AlphaDummy103 F I))
(Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv (nb077AlphaDummy104 F I))))))).fv ∪ (Compiler.CompactSourceSyntax.synCcompl
(SemanticCore.Class.cab (nb077AlphaDummy103 F I)
(Compiler.CompactSourceSyntax.synWrex (nb077AlphaDummy104 F I)
(SemanticCore.Class.cv (nb077AlphaDummy061 F I))
(SemanticCore.Wff.classEq (SemanticCore.Class.cv (nb077AlphaDummy103 F I))
(Compiler.CompactSourceSyntax.synCun
(Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv (nb077AlphaDummy104 F I)))
(Compiler.CompactSourceSyntax.synCsn Compiler.CompactSourceSyntax.synC0c)))))).fv
theorem
NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb077_support_mem_0093
(x : SemanticCore.Var)
:
nb077AlphaDummy062 x ∈ (Compiler.CompactSourceSyntax.synCcompl
(SemanticCore.Class.cab (nb077AlphaDummy105 x)
(Compiler.CompactSourceSyntax.synWrex (nb077AlphaDummy106 x) (SemanticCore.Class.cv (nb077AlphaDummy062 x))
(SemanticCore.Wff.classEq (SemanticCore.Class.cv (nb077AlphaDummy105 x))
(Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv (nb077AlphaDummy106 x))))))).fv ∪ (Compiler.CompactSourceSyntax.synCcompl
(SemanticCore.Class.cab (nb077AlphaDummy105 x)
(Compiler.CompactSourceSyntax.synWrex (nb077AlphaDummy106 x) (SemanticCore.Class.cv (nb077AlphaDummy064 x))
(SemanticCore.Wff.classEq (SemanticCore.Class.cv (nb077AlphaDummy105 x))
(Compiler.CompactSourceSyntax.synCun
(Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv (nb077AlphaDummy106 x)))
(Compiler.CompactSourceSyntax.synCsn Compiler.CompactSourceSyntax.synC0c)))))).fv
theorem
NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb077_support_mem_0094
(F I : SemanticCore.Class)
:
nb077AlphaDummy059 F I ∈ (SemanticCore.Class.cab (nb077AlphaDummy103 F I)
(Compiler.CompactSourceSyntax.synWrex (nb077AlphaDummy104 F I) (SemanticCore.Class.cv (nb077AlphaDummy059 F I))
(SemanticCore.Wff.classEq (SemanticCore.Class.cv (nb077AlphaDummy103 F I))
(Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv (nb077AlphaDummy104 F I)))))).fv ∪ (SemanticCore.Class.cab (nb077AlphaDummy103 F I)
(Compiler.CompactSourceSyntax.synWrex (nb077AlphaDummy104 F I) (SemanticCore.Class.cv (nb077AlphaDummy059 F I))
(SemanticCore.Wff.classEq (SemanticCore.Class.cv (nb077AlphaDummy103 F I))
(Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv (nb077AlphaDummy104 F I)))))).fv
theorem
NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb077_support_mem_0095
(x : SemanticCore.Var)
:
nb077AlphaDummy062 x ∈ (SemanticCore.Class.cab (nb077AlphaDummy105 x)
(Compiler.CompactSourceSyntax.synWrex (nb077AlphaDummy106 x) (SemanticCore.Class.cv (nb077AlphaDummy062 x))
(SemanticCore.Wff.classEq (SemanticCore.Class.cv (nb077AlphaDummy105 x))
(Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv (nb077AlphaDummy106 x)))))).fv ∪ (SemanticCore.Class.cab (nb077AlphaDummy105 x)
(Compiler.CompactSourceSyntax.synWrex (nb077AlphaDummy106 x) (SemanticCore.Class.cv (nb077AlphaDummy062 x))
(SemanticCore.Wff.classEq (SemanticCore.Class.cv (nb077AlphaDummy105 x))
(Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv (nb077AlphaDummy106 x)))))).fv
theorem
NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb077_support_mem_0098
(F I : SemanticCore.Class)
:
nb077AlphaDummy111 F I ∈ (SemanticCore.Wff.classMem (SemanticCore.Class.cv (nb077AlphaDummy111 F I)) Compiler.CompactSourceSyntax.synCnnc).fv ∪ (Compiler.CompactSourceSyntax.synCplc (SemanticCore.Class.cv (nb077AlphaDummy111 F I))
Compiler.CompactSourceSyntax.synC1c).fv ∪ (SemanticCore.Class.cv (nb077AlphaDummy111 F I)).fv
theorem
NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb077_support_mem_0099
(x : SemanticCore.Var)
:
nb077AlphaDummy113 x ∈ (SemanticCore.Wff.classMem (SemanticCore.Class.cv (nb077AlphaDummy113 x)) Compiler.CompactSourceSyntax.synCnnc).fv ∪ (Compiler.CompactSourceSyntax.synCplc (SemanticCore.Class.cv (nb077AlphaDummy113 x))
Compiler.CompactSourceSyntax.synC1c).fv ∪ (SemanticCore.Class.cv (nb077AlphaDummy113 x)).fv
theorem
NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb077_support_mem_0102
(F I : SemanticCore.Class)
:
nb077AlphaDummy118 F I ∈ (Compiler.CompactSourceSyntax.synCnin (SemanticCore.Class.cv (nb077AlphaDummy118 F I))
(SemanticCore.Class.cv (nb077AlphaDummy119 F I))).fv ∪ (Compiler.CompactSourceSyntax.synCnin (SemanticCore.Class.cv (nb077AlphaDummy118 F I))
(SemanticCore.Class.cv (nb077AlphaDummy119 F I))).fv
theorem
NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb077_support_mem_0106
(F I : SemanticCore.Class)
:
nb077AlphaDummy119 F I ∈ (Compiler.CompactSourceSyntax.synCnin (SemanticCore.Class.cv (nb077AlphaDummy118 F I))
(SemanticCore.Class.cv (nb077AlphaDummy119 F I))).fv ∪ (Compiler.CompactSourceSyntax.synCnin (SemanticCore.Class.cv (nb077AlphaDummy118 F I))
(SemanticCore.Class.cv (nb077AlphaDummy119 F I))).fv
theorem
NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb077_support_mem_0119
(F I : SemanticCore.Class)
:
nb077AlphaDummy061 F I ∈ (Compiler.CompactSourceSyntax.synCcompl
(SemanticCore.Class.cab (nb077AlphaDummy103 F I)
(Compiler.CompactSourceSyntax.synWrex (nb077AlphaDummy104 F I)
(SemanticCore.Class.cv (nb077AlphaDummy059 F I))
(SemanticCore.Wff.classEq (SemanticCore.Class.cv (nb077AlphaDummy103 F I))
(Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv (nb077AlphaDummy104 F I))))))).fv ∪ (Compiler.CompactSourceSyntax.synCcompl
(SemanticCore.Class.cab (nb077AlphaDummy103 F I)
(Compiler.CompactSourceSyntax.synWrex (nb077AlphaDummy104 F I)
(SemanticCore.Class.cv (nb077AlphaDummy061 F I))
(SemanticCore.Wff.classEq (SemanticCore.Class.cv (nb077AlphaDummy103 F I))
(Compiler.CompactSourceSyntax.synCun
(Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv (nb077AlphaDummy104 F I)))
(Compiler.CompactSourceSyntax.synCsn Compiler.CompactSourceSyntax.synC0c)))))).fv
theorem
NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb077_support_mem_0121
(x : SemanticCore.Var)
:
nb077AlphaDummy064 x ∈ (Compiler.CompactSourceSyntax.synCcompl
(SemanticCore.Class.cab (nb077AlphaDummy105 x)
(Compiler.CompactSourceSyntax.synWrex (nb077AlphaDummy106 x) (SemanticCore.Class.cv (nb077AlphaDummy062 x))
(SemanticCore.Wff.classEq (SemanticCore.Class.cv (nb077AlphaDummy105 x))
(Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv (nb077AlphaDummy106 x))))))).fv ∪ (Compiler.CompactSourceSyntax.synCcompl
(SemanticCore.Class.cab (nb077AlphaDummy105 x)
(Compiler.CompactSourceSyntax.synWrex (nb077AlphaDummy106 x) (SemanticCore.Class.cv (nb077AlphaDummy064 x))
(SemanticCore.Wff.classEq (SemanticCore.Class.cv (nb077AlphaDummy105 x))
(Compiler.CompactSourceSyntax.synCun
(Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv (nb077AlphaDummy106 x)))
(Compiler.CompactSourceSyntax.synCsn Compiler.CompactSourceSyntax.synC0c)))))).fv
theorem
NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb077_support_mem_0122
(F I : SemanticCore.Class)
:
nb077AlphaDummy061 F I ∈ (SemanticCore.Class.cab (nb077AlphaDummy103 F I)
(Compiler.CompactSourceSyntax.synWrex (nb077AlphaDummy104 F I) (SemanticCore.Class.cv (nb077AlphaDummy061 F I))
(SemanticCore.Wff.classEq (SemanticCore.Class.cv (nb077AlphaDummy103 F I))
(Compiler.CompactSourceSyntax.synCun
(Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv (nb077AlphaDummy104 F I)))
(Compiler.CompactSourceSyntax.synCsn Compiler.CompactSourceSyntax.synC0c))))).fv ∪ (SemanticCore.Class.cab (nb077AlphaDummy103 F I)
(Compiler.CompactSourceSyntax.synWrex (nb077AlphaDummy104 F I) (SemanticCore.Class.cv (nb077AlphaDummy061 F I))
(SemanticCore.Wff.classEq (SemanticCore.Class.cv (nb077AlphaDummy103 F I))
(Compiler.CompactSourceSyntax.synCun
(Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv (nb077AlphaDummy104 F I)))
(Compiler.CompactSourceSyntax.synCsn Compiler.CompactSourceSyntax.synC0c))))).fv
theorem
NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb077_support_mem_0123
(x : SemanticCore.Var)
:
nb077AlphaDummy064 x ∈ (SemanticCore.Class.cab (nb077AlphaDummy105 x)
(Compiler.CompactSourceSyntax.synWrex (nb077AlphaDummy106 x) (SemanticCore.Class.cv (nb077AlphaDummy064 x))
(SemanticCore.Wff.classEq (SemanticCore.Class.cv (nb077AlphaDummy105 x))
(Compiler.CompactSourceSyntax.synCun
(Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv (nb077AlphaDummy106 x)))
(Compiler.CompactSourceSyntax.synCsn Compiler.CompactSourceSyntax.synC0c))))).fv ∪ (SemanticCore.Class.cab (nb077AlphaDummy105 x)
(Compiler.CompactSourceSyntax.synWrex (nb077AlphaDummy106 x) (SemanticCore.Class.cv (nb077AlphaDummy064 x))
(SemanticCore.Wff.classEq (SemanticCore.Class.cv (nb077AlphaDummy105 x))
(Compiler.CompactSourceSyntax.synCun
(Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv (nb077AlphaDummy106 x)))
(Compiler.CompactSourceSyntax.synCsn Compiler.CompactSourceSyntax.synC0c))))).fv
theorem
NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb077_support_mem_0128
(F I : SemanticCore.Class)
:
nb077AlphaDummy139 F I ∈ {nb077AlphaDummy139 F I} ∪ {nb077AlphaDummy140 F I} ∪ (Compiler.CompactSourceSyntax.synWex (nb077AlphaDummy141 F I)
(Compiler.CompactSourceSyntax.synWa
(Compiler.CompactSourceSyntax.synWbr (SemanticCore.Class.cv (nb077AlphaDummy139 F I))
Compiler.CompactSourceSyntax.synC1st (SemanticCore.Class.cv (nb077AlphaDummy141 F I)))
(Compiler.CompactSourceSyntax.synWbr (SemanticCore.Class.cv (nb077AlphaDummy141 F I))
(Compiler.CompactSourceSyntax.synCmpt (nb077AlphaDummy000 F I) Compiler.CompactSourceSyntax.synCvv
(Compiler.CompactSourceSyntax.synCplc (SemanticCore.Class.cv (nb077AlphaDummy000 F I))
Compiler.CompactSourceSyntax.synC1c))
(SemanticCore.Class.cv (nb077AlphaDummy140 F I))))).fv
theorem
NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb077_support_mem_0129
(x : SemanticCore.Var)
:
nb077AlphaDummy142 x ∈ {nb077AlphaDummy142 x} ∪ {nb077AlphaDummy143 x} ∪ (Compiler.CompactSourceSyntax.synWex (nb077AlphaDummy144 x)
(Compiler.CompactSourceSyntax.synWa
(Compiler.CompactSourceSyntax.synWbr (SemanticCore.Class.cv (nb077AlphaDummy142 x))
Compiler.CompactSourceSyntax.synC1st (SemanticCore.Class.cv (nb077AlphaDummy144 x)))
(Compiler.CompactSourceSyntax.synWbr (SemanticCore.Class.cv (nb077AlphaDummy144 x))
(Compiler.CompactSourceSyntax.synCmpt x Compiler.CompactSourceSyntax.synCvv
(Compiler.CompactSourceSyntax.synCplc (SemanticCore.Class.cv x) Compiler.CompactSourceSyntax.synC1c))
(SemanticCore.Class.cv (nb077AlphaDummy143 x))))).fv
theorem
NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb077_support_mem_0130
(F I : SemanticCore.Class)
:
nb077AlphaDummy140 F I ∈ {nb077AlphaDummy139 F I} ∪ {nb077AlphaDummy140 F I} ∪ (Compiler.CompactSourceSyntax.synWex (nb077AlphaDummy141 F I)
(Compiler.CompactSourceSyntax.synWa
(Compiler.CompactSourceSyntax.synWbr (SemanticCore.Class.cv (nb077AlphaDummy139 F I))
Compiler.CompactSourceSyntax.synC1st (SemanticCore.Class.cv (nb077AlphaDummy141 F I)))
(Compiler.CompactSourceSyntax.synWbr (SemanticCore.Class.cv (nb077AlphaDummy141 F I))
(Compiler.CompactSourceSyntax.synCmpt (nb077AlphaDummy000 F I) Compiler.CompactSourceSyntax.synCvv
(Compiler.CompactSourceSyntax.synCplc (SemanticCore.Class.cv (nb077AlphaDummy000 F I))
Compiler.CompactSourceSyntax.synC1c))
(SemanticCore.Class.cv (nb077AlphaDummy140 F I))))).fv
theorem
NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb077_support_mem_0131
(x : SemanticCore.Var)
:
nb077AlphaDummy143 x ∈ {nb077AlphaDummy142 x} ∪ {nb077AlphaDummy143 x} ∪ (Compiler.CompactSourceSyntax.synWex (nb077AlphaDummy144 x)
(Compiler.CompactSourceSyntax.synWa
(Compiler.CompactSourceSyntax.synWbr (SemanticCore.Class.cv (nb077AlphaDummy142 x))
Compiler.CompactSourceSyntax.synC1st (SemanticCore.Class.cv (nb077AlphaDummy144 x)))
(Compiler.CompactSourceSyntax.synWbr (SemanticCore.Class.cv (nb077AlphaDummy144 x))
(Compiler.CompactSourceSyntax.synCmpt x Compiler.CompactSourceSyntax.synCvv
(Compiler.CompactSourceSyntax.synCplc (SemanticCore.Class.cv x) Compiler.CompactSourceSyntax.synC1c))
(SemanticCore.Class.cv (nb077AlphaDummy143 x))))).fv
theorem
NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb077_support_mem_0133
(F I : SemanticCore.Class)
:
nb077AlphaDummy139 F I ∈ (Compiler.CompactSourceSyntax.synCcompl
(SemanticCore.Class.cab (nb077AlphaDummy147 F I)
(Compiler.CompactSourceSyntax.synWrex (nb077AlphaDummy148 F I)
(SemanticCore.Class.cv (nb077AlphaDummy139 F I))
(SemanticCore.Wff.classEq (SemanticCore.Class.cv (nb077AlphaDummy147 F I))
(Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv (nb077AlphaDummy148 F I))))))).fv ∪ (Compiler.CompactSourceSyntax.synCcompl
(SemanticCore.Class.cab (nb077AlphaDummy147 F I)
(Compiler.CompactSourceSyntax.synWrex (nb077AlphaDummy148 F I)
(SemanticCore.Class.cv (nb077AlphaDummy140 F I))
(SemanticCore.Wff.classEq (SemanticCore.Class.cv (nb077AlphaDummy147 F I))
(Compiler.CompactSourceSyntax.synCun
(Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv (nb077AlphaDummy148 F I)))
(Compiler.CompactSourceSyntax.synCsn Compiler.CompactSourceSyntax.synC0c)))))).fv
theorem
NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb077_support_mem_0135
(x : SemanticCore.Var)
:
nb077AlphaDummy142 x ∈ (Compiler.CompactSourceSyntax.synCcompl
(SemanticCore.Class.cab (nb077AlphaDummy149 x)
(Compiler.CompactSourceSyntax.synWrex (nb077AlphaDummy150 x) (SemanticCore.Class.cv (nb077AlphaDummy142 x))
(SemanticCore.Wff.classEq (SemanticCore.Class.cv (nb077AlphaDummy149 x))
(Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv (nb077AlphaDummy150 x))))))).fv ∪ (Compiler.CompactSourceSyntax.synCcompl
(SemanticCore.Class.cab (nb077AlphaDummy149 x)
(Compiler.CompactSourceSyntax.synWrex (nb077AlphaDummy150 x) (SemanticCore.Class.cv (nb077AlphaDummy143 x))
(SemanticCore.Wff.classEq (SemanticCore.Class.cv (nb077AlphaDummy149 x))
(Compiler.CompactSourceSyntax.synCun
(Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv (nb077AlphaDummy150 x)))
(Compiler.CompactSourceSyntax.synCsn Compiler.CompactSourceSyntax.synC0c)))))).fv
theorem
NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb077_support_mem_0136
(F I : SemanticCore.Class)
:
nb077AlphaDummy139 F I ∈ (SemanticCore.Class.cab (nb077AlphaDummy147 F I)
(Compiler.CompactSourceSyntax.synWrex (nb077AlphaDummy148 F I) (SemanticCore.Class.cv (nb077AlphaDummy139 F I))
(SemanticCore.Wff.classEq (SemanticCore.Class.cv (nb077AlphaDummy147 F I))
(Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv (nb077AlphaDummy148 F I)))))).fv ∪ (SemanticCore.Class.cab (nb077AlphaDummy147 F I)
(Compiler.CompactSourceSyntax.synWrex (nb077AlphaDummy148 F I) (SemanticCore.Class.cv (nb077AlphaDummy139 F I))
(SemanticCore.Wff.classEq (SemanticCore.Class.cv (nb077AlphaDummy147 F I))
(Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv (nb077AlphaDummy148 F I)))))).fv
theorem
NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb077_support_mem_0137
(x : SemanticCore.Var)
:
nb077AlphaDummy142 x ∈ (SemanticCore.Class.cab (nb077AlphaDummy149 x)
(Compiler.CompactSourceSyntax.synWrex (nb077AlphaDummy150 x) (SemanticCore.Class.cv (nb077AlphaDummy142 x))
(SemanticCore.Wff.classEq (SemanticCore.Class.cv (nb077AlphaDummy149 x))
(Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv (nb077AlphaDummy150 x)))))).fv ∪ (SemanticCore.Class.cab (nb077AlphaDummy149 x)
(Compiler.CompactSourceSyntax.synWrex (nb077AlphaDummy150 x) (SemanticCore.Class.cv (nb077AlphaDummy142 x))
(SemanticCore.Wff.classEq (SemanticCore.Class.cv (nb077AlphaDummy149 x))
(Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv (nb077AlphaDummy150 x)))))).fv
theorem
NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb077_support_mem_0140
(F I : SemanticCore.Class)
:
nb077AlphaDummy155 F I ∈ (SemanticCore.Wff.classMem (SemanticCore.Class.cv (nb077AlphaDummy155 F I)) Compiler.CompactSourceSyntax.synCnnc).fv ∪ (Compiler.CompactSourceSyntax.synCplc (SemanticCore.Class.cv (nb077AlphaDummy155 F I))
Compiler.CompactSourceSyntax.synC1c).fv ∪ (SemanticCore.Class.cv (nb077AlphaDummy155 F I)).fv
theorem
NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb077_support_mem_0141
(x : SemanticCore.Var)
:
nb077AlphaDummy157 x ∈ (SemanticCore.Wff.classMem (SemanticCore.Class.cv (nb077AlphaDummy157 x)) Compiler.CompactSourceSyntax.synCnnc).fv ∪ (Compiler.CompactSourceSyntax.synCplc (SemanticCore.Class.cv (nb077AlphaDummy157 x))
Compiler.CompactSourceSyntax.synC1c).fv ∪ (SemanticCore.Class.cv (nb077AlphaDummy157 x)).fv
theorem
NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb077_support_mem_0144
(F I : SemanticCore.Class)
:
nb077AlphaDummy162 F I ∈ (Compiler.CompactSourceSyntax.synCnin (SemanticCore.Class.cv (nb077AlphaDummy162 F I))
(SemanticCore.Class.cv (nb077AlphaDummy163 F I))).fv ∪ (Compiler.CompactSourceSyntax.synCnin (SemanticCore.Class.cv (nb077AlphaDummy162 F I))
(SemanticCore.Class.cv (nb077AlphaDummy163 F I))).fv
theorem
NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb077_support_mem_0148
(F I : SemanticCore.Class)
:
nb077AlphaDummy163 F I ∈ (Compiler.CompactSourceSyntax.synCnin (SemanticCore.Class.cv (nb077AlphaDummy162 F I))
(SemanticCore.Class.cv (nb077AlphaDummy163 F I))).fv ∪ (Compiler.CompactSourceSyntax.synCnin (SemanticCore.Class.cv (nb077AlphaDummy162 F I))
(SemanticCore.Class.cv (nb077AlphaDummy163 F I))).fv
theorem
NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb077_support_mem_0161
(F I : SemanticCore.Class)
:
nb077AlphaDummy140 F I ∈ (Compiler.CompactSourceSyntax.synCcompl
(SemanticCore.Class.cab (nb077AlphaDummy147 F I)
(Compiler.CompactSourceSyntax.synWrex (nb077AlphaDummy148 F I)
(SemanticCore.Class.cv (nb077AlphaDummy139 F I))
(SemanticCore.Wff.classEq (SemanticCore.Class.cv (nb077AlphaDummy147 F I))
(Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv (nb077AlphaDummy148 F I))))))).fv ∪ (Compiler.CompactSourceSyntax.synCcompl
(SemanticCore.Class.cab (nb077AlphaDummy147 F I)
(Compiler.CompactSourceSyntax.synWrex (nb077AlphaDummy148 F I)
(SemanticCore.Class.cv (nb077AlphaDummy140 F I))
(SemanticCore.Wff.classEq (SemanticCore.Class.cv (nb077AlphaDummy147 F I))
(Compiler.CompactSourceSyntax.synCun
(Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv (nb077AlphaDummy148 F I)))
(Compiler.CompactSourceSyntax.synCsn Compiler.CompactSourceSyntax.synC0c)))))).fv
theorem
NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb077_support_mem_0163
(x : SemanticCore.Var)
:
nb077AlphaDummy143 x ∈ (Compiler.CompactSourceSyntax.synCcompl
(SemanticCore.Class.cab (nb077AlphaDummy149 x)
(Compiler.CompactSourceSyntax.synWrex (nb077AlphaDummy150 x) (SemanticCore.Class.cv (nb077AlphaDummy142 x))
(SemanticCore.Wff.classEq (SemanticCore.Class.cv (nb077AlphaDummy149 x))
(Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv (nb077AlphaDummy150 x))))))).fv ∪ (Compiler.CompactSourceSyntax.synCcompl
(SemanticCore.Class.cab (nb077AlphaDummy149 x)
(Compiler.CompactSourceSyntax.synWrex (nb077AlphaDummy150 x) (SemanticCore.Class.cv (nb077AlphaDummy143 x))
(SemanticCore.Wff.classEq (SemanticCore.Class.cv (nb077AlphaDummy149 x))
(Compiler.CompactSourceSyntax.synCun
(Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv (nb077AlphaDummy150 x)))
(Compiler.CompactSourceSyntax.synCsn Compiler.CompactSourceSyntax.synC0c)))))).fv
theorem
NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb077_support_mem_0164
(F I : SemanticCore.Class)
:
nb077AlphaDummy140 F I ∈ (SemanticCore.Class.cab (nb077AlphaDummy147 F I)
(Compiler.CompactSourceSyntax.synWrex (nb077AlphaDummy148 F I) (SemanticCore.Class.cv (nb077AlphaDummy140 F I))
(SemanticCore.Wff.classEq (SemanticCore.Class.cv (nb077AlphaDummy147 F I))
(Compiler.CompactSourceSyntax.synCun
(Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv (nb077AlphaDummy148 F I)))
(Compiler.CompactSourceSyntax.synCsn Compiler.CompactSourceSyntax.synC0c))))).fv ∪ (SemanticCore.Class.cab (nb077AlphaDummy147 F I)
(Compiler.CompactSourceSyntax.synWrex (nb077AlphaDummy148 F I) (SemanticCore.Class.cv (nb077AlphaDummy140 F I))
(SemanticCore.Wff.classEq (SemanticCore.Class.cv (nb077AlphaDummy147 F I))
(Compiler.CompactSourceSyntax.synCun
(Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv (nb077AlphaDummy148 F I)))
(Compiler.CompactSourceSyntax.synCsn Compiler.CompactSourceSyntax.synC0c))))).fv
Certificates from NAR4C077C001Part008.
theorem
NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb077_support_mem_0165
(x : SemanticCore.Var)
:
nb077AlphaDummy143 x ∈ (SemanticCore.Class.cab (nb077AlphaDummy149 x)
(Compiler.CompactSourceSyntax.synWrex (nb077AlphaDummy150 x) (SemanticCore.Class.cv (nb077AlphaDummy143 x))
(SemanticCore.Wff.classEq (SemanticCore.Class.cv (nb077AlphaDummy149 x))
(Compiler.CompactSourceSyntax.synCun
(Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv (nb077AlphaDummy150 x)))
(Compiler.CompactSourceSyntax.synCsn Compiler.CompactSourceSyntax.synC0c))))).fv ∪ (SemanticCore.Class.cab (nb077AlphaDummy149 x)
(Compiler.CompactSourceSyntax.synWrex (nb077AlphaDummy150 x) (SemanticCore.Class.cv (nb077AlphaDummy143 x))
(SemanticCore.Wff.classEq (SemanticCore.Class.cv (nb077AlphaDummy149 x))
(Compiler.CompactSourceSyntax.synCun
(Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv (nb077AlphaDummy150 x)))
(Compiler.CompactSourceSyntax.synCsn Compiler.CompactSourceSyntax.synC0c))))).fv
theorem
NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb077_support_mem_0171
(F I : SemanticCore.Class)
:
nb077AlphaDummy139 F I ∈ (Compiler.CompactSourceSyntax.synCcompl
(SemanticCore.Class.cab (nb077AlphaDummy183 F I)
(Compiler.CompactSourceSyntax.synWrex (nb077AlphaDummy184 F I)
(SemanticCore.Class.cv (nb077AlphaDummy139 F I))
(SemanticCore.Wff.classEq (SemanticCore.Class.cv (nb077AlphaDummy183 F I))
(Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv (nb077AlphaDummy184 F I))))))).fv ∪ (Compiler.CompactSourceSyntax.synCcompl
(SemanticCore.Class.cab (nb077AlphaDummy183 F I)
(Compiler.CompactSourceSyntax.synWrex (nb077AlphaDummy184 F I)
(SemanticCore.Class.cv (nb077AlphaDummy141 F I))
(SemanticCore.Wff.classEq (SemanticCore.Class.cv (nb077AlphaDummy183 F I))
(Compiler.CompactSourceSyntax.synCun
(Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv (nb077AlphaDummy184 F I)))
(Compiler.CompactSourceSyntax.synCsn Compiler.CompactSourceSyntax.synC0c)))))).fv
theorem
NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb077_support_mem_0173
(x : SemanticCore.Var)
:
nb077AlphaDummy142 x ∈ (Compiler.CompactSourceSyntax.synCcompl
(SemanticCore.Class.cab (nb077AlphaDummy185 x)
(Compiler.CompactSourceSyntax.synWrex (nb077AlphaDummy186 x) (SemanticCore.Class.cv (nb077AlphaDummy142 x))
(SemanticCore.Wff.classEq (SemanticCore.Class.cv (nb077AlphaDummy185 x))
(Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv (nb077AlphaDummy186 x))))))).fv ∪ (Compiler.CompactSourceSyntax.synCcompl
(SemanticCore.Class.cab (nb077AlphaDummy185 x)
(Compiler.CompactSourceSyntax.synWrex (nb077AlphaDummy186 x) (SemanticCore.Class.cv (nb077AlphaDummy144 x))
(SemanticCore.Wff.classEq (SemanticCore.Class.cv (nb077AlphaDummy185 x))
(Compiler.CompactSourceSyntax.synCun
(Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv (nb077AlphaDummy186 x)))
(Compiler.CompactSourceSyntax.synCsn Compiler.CompactSourceSyntax.synC0c)))))).fv
theorem
NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb077_support_mem_0174
(F I : SemanticCore.Class)
:
nb077AlphaDummy139 F I ∈ (SemanticCore.Class.cab (nb077AlphaDummy183 F I)
(Compiler.CompactSourceSyntax.synWrex (nb077AlphaDummy184 F I) (SemanticCore.Class.cv (nb077AlphaDummy139 F I))
(SemanticCore.Wff.classEq (SemanticCore.Class.cv (nb077AlphaDummy183 F I))
(Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv (nb077AlphaDummy184 F I)))))).fv ∪ (SemanticCore.Class.cab (nb077AlphaDummy183 F I)
(Compiler.CompactSourceSyntax.synWrex (nb077AlphaDummy184 F I) (SemanticCore.Class.cv (nb077AlphaDummy139 F I))
(SemanticCore.Wff.classEq (SemanticCore.Class.cv (nb077AlphaDummy183 F I))
(Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv (nb077AlphaDummy184 F I)))))).fv
theorem
NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb077_support_mem_0175
(x : SemanticCore.Var)
:
nb077AlphaDummy142 x ∈ (SemanticCore.Class.cab (nb077AlphaDummy185 x)
(Compiler.CompactSourceSyntax.synWrex (nb077AlphaDummy186 x) (SemanticCore.Class.cv (nb077AlphaDummy142 x))
(SemanticCore.Wff.classEq (SemanticCore.Class.cv (nb077AlphaDummy185 x))
(Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv (nb077AlphaDummy186 x)))))).fv ∪ (SemanticCore.Class.cab (nb077AlphaDummy185 x)
(Compiler.CompactSourceSyntax.synWrex (nb077AlphaDummy186 x) (SemanticCore.Class.cv (nb077AlphaDummy142 x))
(SemanticCore.Wff.classEq (SemanticCore.Class.cv (nb077AlphaDummy185 x))
(Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv (nb077AlphaDummy186 x)))))).fv
theorem
NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb077_support_mem_0178
(F I : SemanticCore.Class)
:
nb077AlphaDummy191 F I ∈ (SemanticCore.Wff.classMem (SemanticCore.Class.cv (nb077AlphaDummy191 F I)) Compiler.CompactSourceSyntax.synCnnc).fv ∪ (Compiler.CompactSourceSyntax.synCplc (SemanticCore.Class.cv (nb077AlphaDummy191 F I))
Compiler.CompactSourceSyntax.synC1c).fv ∪ (SemanticCore.Class.cv (nb077AlphaDummy191 F I)).fv
theorem
NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb077_support_mem_0179
(x : SemanticCore.Var)
:
nb077AlphaDummy193 x ∈ (SemanticCore.Wff.classMem (SemanticCore.Class.cv (nb077AlphaDummy193 x)) Compiler.CompactSourceSyntax.synCnnc).fv ∪ (Compiler.CompactSourceSyntax.synCplc (SemanticCore.Class.cv (nb077AlphaDummy193 x))
Compiler.CompactSourceSyntax.synC1c).fv ∪ (SemanticCore.Class.cv (nb077AlphaDummy193 x)).fv
theorem
NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb077_support_mem_0182
(F I : SemanticCore.Class)
:
nb077AlphaDummy198 F I ∈ (Compiler.CompactSourceSyntax.synCnin (SemanticCore.Class.cv (nb077AlphaDummy198 F I))
(SemanticCore.Class.cv (nb077AlphaDummy199 F I))).fv ∪ (Compiler.CompactSourceSyntax.synCnin (SemanticCore.Class.cv (nb077AlphaDummy198 F I))
(SemanticCore.Class.cv (nb077AlphaDummy199 F I))).fv
theorem
NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb077_support_mem_0186
(F I : SemanticCore.Class)
:
nb077AlphaDummy199 F I ∈ (Compiler.CompactSourceSyntax.synCnin (SemanticCore.Class.cv (nb077AlphaDummy198 F I))
(SemanticCore.Class.cv (nb077AlphaDummy199 F I))).fv ∪ (Compiler.CompactSourceSyntax.synCnin (SemanticCore.Class.cv (nb077AlphaDummy198 F I))
(SemanticCore.Class.cv (nb077AlphaDummy199 F I))).fv
theorem
NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb077_support_mem_0199
(F I : SemanticCore.Class)
:
nb077AlphaDummy141 F I ∈ (Compiler.CompactSourceSyntax.synCcompl
(SemanticCore.Class.cab (nb077AlphaDummy183 F I)
(Compiler.CompactSourceSyntax.synWrex (nb077AlphaDummy184 F I)
(SemanticCore.Class.cv (nb077AlphaDummy139 F I))
(SemanticCore.Wff.classEq (SemanticCore.Class.cv (nb077AlphaDummy183 F I))
(Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv (nb077AlphaDummy184 F I))))))).fv ∪ (Compiler.CompactSourceSyntax.synCcompl
(SemanticCore.Class.cab (nb077AlphaDummy183 F I)
(Compiler.CompactSourceSyntax.synWrex (nb077AlphaDummy184 F I)
(SemanticCore.Class.cv (nb077AlphaDummy141 F I))
(SemanticCore.Wff.classEq (SemanticCore.Class.cv (nb077AlphaDummy183 F I))
(Compiler.CompactSourceSyntax.synCun
(Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv (nb077AlphaDummy184 F I)))
(Compiler.CompactSourceSyntax.synCsn Compiler.CompactSourceSyntax.synC0c)))))).fv
theorem
NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb077_support_mem_0201
(x : SemanticCore.Var)
:
nb077AlphaDummy144 x ∈ (Compiler.CompactSourceSyntax.synCcompl
(SemanticCore.Class.cab (nb077AlphaDummy185 x)
(Compiler.CompactSourceSyntax.synWrex (nb077AlphaDummy186 x) (SemanticCore.Class.cv (nb077AlphaDummy142 x))
(SemanticCore.Wff.classEq (SemanticCore.Class.cv (nb077AlphaDummy185 x))
(Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv (nb077AlphaDummy186 x))))))).fv ∪ (Compiler.CompactSourceSyntax.synCcompl
(SemanticCore.Class.cab (nb077AlphaDummy185 x)
(Compiler.CompactSourceSyntax.synWrex (nb077AlphaDummy186 x) (SemanticCore.Class.cv (nb077AlphaDummy144 x))
(SemanticCore.Wff.classEq (SemanticCore.Class.cv (nb077AlphaDummy185 x))
(Compiler.CompactSourceSyntax.synCun
(Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv (nb077AlphaDummy186 x)))
(Compiler.CompactSourceSyntax.synCsn Compiler.CompactSourceSyntax.synC0c)))))).fv
theorem
NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb077_support_mem_0202
(F I : SemanticCore.Class)
:
nb077AlphaDummy141 F I ∈ (SemanticCore.Class.cab (nb077AlphaDummy183 F I)
(Compiler.CompactSourceSyntax.synWrex (nb077AlphaDummy184 F I) (SemanticCore.Class.cv (nb077AlphaDummy141 F I))
(SemanticCore.Wff.classEq (SemanticCore.Class.cv (nb077AlphaDummy183 F I))
(Compiler.CompactSourceSyntax.synCun
(Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv (nb077AlphaDummy184 F I)))
(Compiler.CompactSourceSyntax.synCsn Compiler.CompactSourceSyntax.synC0c))))).fv ∪ (SemanticCore.Class.cab (nb077AlphaDummy183 F I)
(Compiler.CompactSourceSyntax.synWrex (nb077AlphaDummy184 F I) (SemanticCore.Class.cv (nb077AlphaDummy141 F I))
(SemanticCore.Wff.classEq (SemanticCore.Class.cv (nb077AlphaDummy183 F I))
(Compiler.CompactSourceSyntax.synCun
(Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv (nb077AlphaDummy184 F I)))
(Compiler.CompactSourceSyntax.synCsn Compiler.CompactSourceSyntax.synC0c))))).fv
theorem
NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb077_support_mem_0203
(x : SemanticCore.Var)
:
nb077AlphaDummy144 x ∈ (SemanticCore.Class.cab (nb077AlphaDummy185 x)
(Compiler.CompactSourceSyntax.synWrex (nb077AlphaDummy186 x) (SemanticCore.Class.cv (nb077AlphaDummy144 x))
(SemanticCore.Wff.classEq (SemanticCore.Class.cv (nb077AlphaDummy185 x))
(Compiler.CompactSourceSyntax.synCun
(Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv (nb077AlphaDummy186 x)))
(Compiler.CompactSourceSyntax.synCsn Compiler.CompactSourceSyntax.synC0c))))).fv ∪ (SemanticCore.Class.cab (nb077AlphaDummy185 x)
(Compiler.CompactSourceSyntax.synWrex (nb077AlphaDummy186 x) (SemanticCore.Class.cv (nb077AlphaDummy144 x))
(SemanticCore.Wff.classEq (SemanticCore.Class.cv (nb077AlphaDummy185 x))
(Compiler.CompactSourceSyntax.synCun
(Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv (nb077AlphaDummy186 x)))
(Compiler.CompactSourceSyntax.synCsn Compiler.CompactSourceSyntax.synC0c))))).fv
theorem
NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb077_support_mem_0209
(F I : SemanticCore.Class)
:
nb077AlphaDummy141 F I ∈ (Compiler.CompactSourceSyntax.synCcompl
(SemanticCore.Class.cab (nb077AlphaDummy219 F I)
(Compiler.CompactSourceSyntax.synWrex (nb077AlphaDummy220 F I)
(SemanticCore.Class.cv (nb077AlphaDummy141 F I))
(SemanticCore.Wff.classEq (SemanticCore.Class.cv (nb077AlphaDummy219 F I))
(Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv (nb077AlphaDummy220 F I))))))).fv ∪ (Compiler.CompactSourceSyntax.synCcompl
(SemanticCore.Class.cab (nb077AlphaDummy219 F I)
(Compiler.CompactSourceSyntax.synWrex (nb077AlphaDummy220 F I)
(SemanticCore.Class.cv (nb077AlphaDummy140 F I))
(SemanticCore.Wff.classEq (SemanticCore.Class.cv (nb077AlphaDummy219 F I))
(Compiler.CompactSourceSyntax.synCun
(Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv (nb077AlphaDummy220 F I)))
(Compiler.CompactSourceSyntax.synCsn Compiler.CompactSourceSyntax.synC0c)))))).fv
theorem
NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb077_support_mem_0211
(x : SemanticCore.Var)
:
nb077AlphaDummy144 x ∈ (Compiler.CompactSourceSyntax.synCcompl
(SemanticCore.Class.cab (nb077AlphaDummy221 x)
(Compiler.CompactSourceSyntax.synWrex (nb077AlphaDummy222 x) (SemanticCore.Class.cv (nb077AlphaDummy144 x))
(SemanticCore.Wff.classEq (SemanticCore.Class.cv (nb077AlphaDummy221 x))
(Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv (nb077AlphaDummy222 x))))))).fv ∪ (Compiler.CompactSourceSyntax.synCcompl
(SemanticCore.Class.cab (nb077AlphaDummy221 x)
(Compiler.CompactSourceSyntax.synWrex (nb077AlphaDummy222 x) (SemanticCore.Class.cv (nb077AlphaDummy143 x))
(SemanticCore.Wff.classEq (SemanticCore.Class.cv (nb077AlphaDummy221 x))
(Compiler.CompactSourceSyntax.synCun
(Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv (nb077AlphaDummy222 x)))
(Compiler.CompactSourceSyntax.synCsn Compiler.CompactSourceSyntax.synC0c)))))).fv
theorem
NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb077_support_mem_0212
(F I : SemanticCore.Class)
:
nb077AlphaDummy141 F I ∈ (SemanticCore.Class.cab (nb077AlphaDummy219 F I)
(Compiler.CompactSourceSyntax.synWrex (nb077AlphaDummy220 F I) (SemanticCore.Class.cv (nb077AlphaDummy141 F I))
(SemanticCore.Wff.classEq (SemanticCore.Class.cv (nb077AlphaDummy219 F I))
(Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv (nb077AlphaDummy220 F I)))))).fv ∪ (SemanticCore.Class.cab (nb077AlphaDummy219 F I)
(Compiler.CompactSourceSyntax.synWrex (nb077AlphaDummy220 F I) (SemanticCore.Class.cv (nb077AlphaDummy141 F I))
(SemanticCore.Wff.classEq (SemanticCore.Class.cv (nb077AlphaDummy219 F I))
(Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv (nb077AlphaDummy220 F I)))))).fv
theorem
NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb077_support_mem_0213
(x : SemanticCore.Var)
:
nb077AlphaDummy144 x ∈ (SemanticCore.Class.cab (nb077AlphaDummy221 x)
(Compiler.CompactSourceSyntax.synWrex (nb077AlphaDummy222 x) (SemanticCore.Class.cv (nb077AlphaDummy144 x))
(SemanticCore.Wff.classEq (SemanticCore.Class.cv (nb077AlphaDummy221 x))
(Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv (nb077AlphaDummy222 x)))))).fv ∪ (SemanticCore.Class.cab (nb077AlphaDummy221 x)
(Compiler.CompactSourceSyntax.synWrex (nb077AlphaDummy222 x) (SemanticCore.Class.cv (nb077AlphaDummy144 x))
(SemanticCore.Wff.classEq (SemanticCore.Class.cv (nb077AlphaDummy221 x))
(Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv (nb077AlphaDummy222 x)))))).fv
theorem
NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb077_support_mem_0216
(F I : SemanticCore.Class)
:
nb077AlphaDummy227 F I ∈ (SemanticCore.Wff.classMem (SemanticCore.Class.cv (nb077AlphaDummy227 F I)) Compiler.CompactSourceSyntax.synCnnc).fv ∪ (Compiler.CompactSourceSyntax.synCplc (SemanticCore.Class.cv (nb077AlphaDummy227 F I))
Compiler.CompactSourceSyntax.synC1c).fv ∪ (SemanticCore.Class.cv (nb077AlphaDummy227 F I)).fv
theorem
NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb077_support_mem_0217
(x : SemanticCore.Var)
:
nb077AlphaDummy229 x ∈ (SemanticCore.Wff.classMem (SemanticCore.Class.cv (nb077AlphaDummy229 x)) Compiler.CompactSourceSyntax.synCnnc).fv ∪ (Compiler.CompactSourceSyntax.synCplc (SemanticCore.Class.cv (nb077AlphaDummy229 x))
Compiler.CompactSourceSyntax.synC1c).fv ∪ (SemanticCore.Class.cv (nb077AlphaDummy229 x)).fv
theorem
NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb077_support_mem_0220
(F I : SemanticCore.Class)
:
nb077AlphaDummy234 F I ∈ (Compiler.CompactSourceSyntax.synCnin (SemanticCore.Class.cv (nb077AlphaDummy234 F I))
(SemanticCore.Class.cv (nb077AlphaDummy235 F I))).fv ∪ (Compiler.CompactSourceSyntax.synCnin (SemanticCore.Class.cv (nb077AlphaDummy234 F I))
(SemanticCore.Class.cv (nb077AlphaDummy235 F I))).fv
theorem
NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb077_support_mem_0224
(F I : SemanticCore.Class)
:
nb077AlphaDummy235 F I ∈ (Compiler.CompactSourceSyntax.synCnin (SemanticCore.Class.cv (nb077AlphaDummy234 F I))
(SemanticCore.Class.cv (nb077AlphaDummy235 F I))).fv ∪ (Compiler.CompactSourceSyntax.synCnin (SemanticCore.Class.cv (nb077AlphaDummy234 F I))
(SemanticCore.Class.cv (nb077AlphaDummy235 F I))).fv
theorem
NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb077_support_mem_0237
(F I : SemanticCore.Class)
:
nb077AlphaDummy140 F I ∈ (Compiler.CompactSourceSyntax.synCcompl
(SemanticCore.Class.cab (nb077AlphaDummy219 F I)
(Compiler.CompactSourceSyntax.synWrex (nb077AlphaDummy220 F I)
(SemanticCore.Class.cv (nb077AlphaDummy141 F I))
(SemanticCore.Wff.classEq (SemanticCore.Class.cv (nb077AlphaDummy219 F I))
(Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv (nb077AlphaDummy220 F I))))))).fv ∪ (Compiler.CompactSourceSyntax.synCcompl
(SemanticCore.Class.cab (nb077AlphaDummy219 F I)
(Compiler.CompactSourceSyntax.synWrex (nb077AlphaDummy220 F I)
(SemanticCore.Class.cv (nb077AlphaDummy140 F I))
(SemanticCore.Wff.classEq (SemanticCore.Class.cv (nb077AlphaDummy219 F I))
(Compiler.CompactSourceSyntax.synCun
(Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv (nb077AlphaDummy220 F I)))
(Compiler.CompactSourceSyntax.synCsn Compiler.CompactSourceSyntax.synC0c)))))).fv
theorem
NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb077_support_mem_0239
(x : SemanticCore.Var)
:
nb077AlphaDummy143 x ∈ (Compiler.CompactSourceSyntax.synCcompl
(SemanticCore.Class.cab (nb077AlphaDummy221 x)
(Compiler.CompactSourceSyntax.synWrex (nb077AlphaDummy222 x) (SemanticCore.Class.cv (nb077AlphaDummy144 x))
(SemanticCore.Wff.classEq (SemanticCore.Class.cv (nb077AlphaDummy221 x))
(Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv (nb077AlphaDummy222 x))))))).fv ∪ (Compiler.CompactSourceSyntax.synCcompl
(SemanticCore.Class.cab (nb077AlphaDummy221 x)
(Compiler.CompactSourceSyntax.synWrex (nb077AlphaDummy222 x) (SemanticCore.Class.cv (nb077AlphaDummy143 x))
(SemanticCore.Wff.classEq (SemanticCore.Class.cv (nb077AlphaDummy221 x))
(Compiler.CompactSourceSyntax.synCun
(Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv (nb077AlphaDummy222 x)))
(Compiler.CompactSourceSyntax.synCsn Compiler.CompactSourceSyntax.synC0c)))))).fv
theorem
NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb077_support_mem_0240
(F I : SemanticCore.Class)
:
nb077AlphaDummy140 F I ∈ (SemanticCore.Class.cab (nb077AlphaDummy219 F I)
(Compiler.CompactSourceSyntax.synWrex (nb077AlphaDummy220 F I) (SemanticCore.Class.cv (nb077AlphaDummy140 F I))
(SemanticCore.Wff.classEq (SemanticCore.Class.cv (nb077AlphaDummy219 F I))
(Compiler.CompactSourceSyntax.synCun
(Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv (nb077AlphaDummy220 F I)))
(Compiler.CompactSourceSyntax.synCsn Compiler.CompactSourceSyntax.synC0c))))).fv ∪ (SemanticCore.Class.cab (nb077AlphaDummy219 F I)
(Compiler.CompactSourceSyntax.synWrex (nb077AlphaDummy220 F I) (SemanticCore.Class.cv (nb077AlphaDummy140 F I))
(SemanticCore.Wff.classEq (SemanticCore.Class.cv (nb077AlphaDummy219 F I))
(Compiler.CompactSourceSyntax.synCun
(Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv (nb077AlphaDummy220 F I)))
(Compiler.CompactSourceSyntax.synCsn Compiler.CompactSourceSyntax.synC0c))))).fv
theorem
NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb077_support_mem_0241
(x : SemanticCore.Var)
:
nb077AlphaDummy143 x ∈ (SemanticCore.Class.cab (nb077AlphaDummy221 x)
(Compiler.CompactSourceSyntax.synWrex (nb077AlphaDummy222 x) (SemanticCore.Class.cv (nb077AlphaDummy143 x))
(SemanticCore.Wff.classEq (SemanticCore.Class.cv (nb077AlphaDummy221 x))
(Compiler.CompactSourceSyntax.synCun
(Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv (nb077AlphaDummy222 x)))
(Compiler.CompactSourceSyntax.synCsn Compiler.CompactSourceSyntax.synC0c))))).fv ∪ (SemanticCore.Class.cab (nb077AlphaDummy221 x)
(Compiler.CompactSourceSyntax.synWrex (nb077AlphaDummy222 x) (SemanticCore.Class.cv (nb077AlphaDummy143 x))
(SemanticCore.Wff.classEq (SemanticCore.Class.cv (nb077AlphaDummy221 x))
(Compiler.CompactSourceSyntax.synCun
(Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv (nb077AlphaDummy222 x)))
(Compiler.CompactSourceSyntax.synCsn Compiler.CompactSourceSyntax.synC0c))))).fv
theorem
NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb077_support_mem_0246
(F I : SemanticCore.Class)
:
nb077AlphaDummy000 F I ∈ {nb077AlphaDummy000 F I} ∪ {nb077AlphaDummy255 F I} ∪ (Compiler.CompactSourceSyntax.synWa
(SemanticCore.Wff.classMem (SemanticCore.Class.cv (nb077AlphaDummy000 F I)) Compiler.CompactSourceSyntax.synCvv)
(SemanticCore.Wff.classEq (SemanticCore.Class.cv (nb077AlphaDummy255 F I))
(Compiler.CompactSourceSyntax.synCplc (SemanticCore.Class.cv (nb077AlphaDummy000 F I))
Compiler.CompactSourceSyntax.synC1c))).fv
theorem
NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb077_support_mem_0247
(x : SemanticCore.Var)
:
x ∈ {x} ∪ {nb077AlphaDummy256 x} ∪ (Compiler.CompactSourceSyntax.synWa
(SemanticCore.Wff.classMem (SemanticCore.Class.cv x) Compiler.CompactSourceSyntax.synCvv)
(SemanticCore.Wff.classEq (SemanticCore.Class.cv (nb077AlphaDummy256 x))
(Compiler.CompactSourceSyntax.synCplc (SemanticCore.Class.cv x) Compiler.CompactSourceSyntax.synC1c))).fv
theorem
NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb077_support_mem_0248
(F I : SemanticCore.Class)
:
nb077AlphaDummy255 F I ∈ {nb077AlphaDummy000 F I} ∪ {nb077AlphaDummy255 F I} ∪ (Compiler.CompactSourceSyntax.synWa
(SemanticCore.Wff.classMem (SemanticCore.Class.cv (nb077AlphaDummy000 F I)) Compiler.CompactSourceSyntax.synCvv)
(SemanticCore.Wff.classEq (SemanticCore.Class.cv (nb077AlphaDummy255 F I))
(Compiler.CompactSourceSyntax.synCplc (SemanticCore.Class.cv (nb077AlphaDummy000 F I))
Compiler.CompactSourceSyntax.synC1c))).fv
theorem
NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb077_support_mem_0249
(x : SemanticCore.Var)
:
nb077AlphaDummy256 x ∈ {x} ∪ {nb077AlphaDummy256 x} ∪ (Compiler.CompactSourceSyntax.synWa
(SemanticCore.Wff.classMem (SemanticCore.Class.cv x) Compiler.CompactSourceSyntax.synCvv)
(SemanticCore.Wff.classEq (SemanticCore.Class.cv (nb077AlphaDummy256 x))
(Compiler.CompactSourceSyntax.synCplc (SemanticCore.Class.cv x) Compiler.CompactSourceSyntax.synC1c))).fv
theorem
NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb077_support_mem_0253
(F I : SemanticCore.Class)
:
nb077AlphaDummy000 F I ∈ (Compiler.CompactSourceSyntax.synCcompl
(SemanticCore.Class.cab (nb077AlphaDummy259 F I)
(Compiler.CompactSourceSyntax.synWrex (nb077AlphaDummy260 F I)
(SemanticCore.Class.cv (nb077AlphaDummy000 F I))
(SemanticCore.Wff.classEq (SemanticCore.Class.cv (nb077AlphaDummy259 F I))
(Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv (nb077AlphaDummy260 F I))))))).fv ∪ (Compiler.CompactSourceSyntax.synCcompl
(SemanticCore.Class.cab (nb077AlphaDummy259 F I)
(Compiler.CompactSourceSyntax.synWrex (nb077AlphaDummy260 F I)
(SemanticCore.Class.cv (nb077AlphaDummy255 F I))
(SemanticCore.Wff.classEq (SemanticCore.Class.cv (nb077AlphaDummy259 F I))
(Compiler.CompactSourceSyntax.synCun
(Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv (nb077AlphaDummy260 F I)))
(Compiler.CompactSourceSyntax.synCsn Compiler.CompactSourceSyntax.synC0c)))))).fv
theorem
NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb077_support_mem_0255
(x : SemanticCore.Var)
:
x ∈ (Compiler.CompactSourceSyntax.synCcompl
(SemanticCore.Class.cab (nb077AlphaDummy261 x)
(Compiler.CompactSourceSyntax.synWrex (nb077AlphaDummy262 x) (SemanticCore.Class.cv x)
(SemanticCore.Wff.classEq (SemanticCore.Class.cv (nb077AlphaDummy261 x))
(Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv (nb077AlphaDummy262 x))))))).fv ∪ (Compiler.CompactSourceSyntax.synCcompl
(SemanticCore.Class.cab (nb077AlphaDummy261 x)
(Compiler.CompactSourceSyntax.synWrex (nb077AlphaDummy262 x) (SemanticCore.Class.cv (nb077AlphaDummy256 x))
(SemanticCore.Wff.classEq (SemanticCore.Class.cv (nb077AlphaDummy261 x))
(Compiler.CompactSourceSyntax.synCun
(Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv (nb077AlphaDummy262 x)))
(Compiler.CompactSourceSyntax.synCsn Compiler.CompactSourceSyntax.synC0c)))))).fv
theorem
NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb077_support_mem_0256
(F I : SemanticCore.Class)
:
nb077AlphaDummy000 F I ∈ (SemanticCore.Class.cab (nb077AlphaDummy259 F I)
(Compiler.CompactSourceSyntax.synWrex (nb077AlphaDummy260 F I) (SemanticCore.Class.cv (nb077AlphaDummy000 F I))
(SemanticCore.Wff.classEq (SemanticCore.Class.cv (nb077AlphaDummy259 F I))
(Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv (nb077AlphaDummy260 F I)))))).fv ∪ (SemanticCore.Class.cab (nb077AlphaDummy259 F I)
(Compiler.CompactSourceSyntax.synWrex (nb077AlphaDummy260 F I) (SemanticCore.Class.cv (nb077AlphaDummy000 F I))
(SemanticCore.Wff.classEq (SemanticCore.Class.cv (nb077AlphaDummy259 F I))
(Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv (nb077AlphaDummy260 F I)))))).fv
theorem
NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb077_support_mem_0257
(x : SemanticCore.Var)
:
x ∈ (SemanticCore.Class.cab (nb077AlphaDummy261 x)
(Compiler.CompactSourceSyntax.synWrex (nb077AlphaDummy262 x) (SemanticCore.Class.cv x)
(SemanticCore.Wff.classEq (SemanticCore.Class.cv (nb077AlphaDummy261 x))
(Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv (nb077AlphaDummy262 x)))))).fv ∪ (SemanticCore.Class.cab (nb077AlphaDummy261 x)
(Compiler.CompactSourceSyntax.synWrex (nb077AlphaDummy262 x) (SemanticCore.Class.cv x)
(SemanticCore.Wff.classEq (SemanticCore.Class.cv (nb077AlphaDummy261 x))
(Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv (nb077AlphaDummy262 x)))))).fv
theorem
NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb077_support_mem_0260
(F I : SemanticCore.Class)
:
nb077AlphaDummy267 F I ∈ (SemanticCore.Wff.classMem (SemanticCore.Class.cv (nb077AlphaDummy267 F I)) Compiler.CompactSourceSyntax.synCnnc).fv ∪ (Compiler.CompactSourceSyntax.synCplc (SemanticCore.Class.cv (nb077AlphaDummy267 F I))
Compiler.CompactSourceSyntax.synC1c).fv ∪ (SemanticCore.Class.cv (nb077AlphaDummy267 F I)).fv
theorem
NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb077_support_mem_0261
(x : SemanticCore.Var)
:
nb077AlphaDummy269 x ∈ (SemanticCore.Wff.classMem (SemanticCore.Class.cv (nb077AlphaDummy269 x)) Compiler.CompactSourceSyntax.synCnnc).fv ∪ (Compiler.CompactSourceSyntax.synCplc (SemanticCore.Class.cv (nb077AlphaDummy269 x))
Compiler.CompactSourceSyntax.synC1c).fv ∪ (SemanticCore.Class.cv (nb077AlphaDummy269 x)).fv
theorem
NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb077_support_mem_0264
(F I : SemanticCore.Class)
:
nb077AlphaDummy274 F I ∈ (Compiler.CompactSourceSyntax.synCnin (SemanticCore.Class.cv (nb077AlphaDummy274 F I))
(SemanticCore.Class.cv (nb077AlphaDummy275 F I))).fv ∪ (Compiler.CompactSourceSyntax.synCnin (SemanticCore.Class.cv (nb077AlphaDummy274 F I))
(SemanticCore.Class.cv (nb077AlphaDummy275 F I))).fv
theorem
NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb077_support_mem_0268
(F I : SemanticCore.Class)
:
nb077AlphaDummy275 F I ∈ (Compiler.CompactSourceSyntax.synCnin (SemanticCore.Class.cv (nb077AlphaDummy274 F I))
(SemanticCore.Class.cv (nb077AlphaDummy275 F I))).fv ∪ (Compiler.CompactSourceSyntax.synCnin (SemanticCore.Class.cv (nb077AlphaDummy274 F I))
(SemanticCore.Class.cv (nb077AlphaDummy275 F I))).fv
theorem
NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb077_support_mem_0281
(F I : SemanticCore.Class)
:
nb077AlphaDummy255 F I ∈ (Compiler.CompactSourceSyntax.synCcompl
(SemanticCore.Class.cab (nb077AlphaDummy259 F I)
(Compiler.CompactSourceSyntax.synWrex (nb077AlphaDummy260 F I)
(SemanticCore.Class.cv (nb077AlphaDummy000 F I))
(SemanticCore.Wff.classEq (SemanticCore.Class.cv (nb077AlphaDummy259 F I))
(Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv (nb077AlphaDummy260 F I))))))).fv ∪ (Compiler.CompactSourceSyntax.synCcompl
(SemanticCore.Class.cab (nb077AlphaDummy259 F I)
(Compiler.CompactSourceSyntax.synWrex (nb077AlphaDummy260 F I)
(SemanticCore.Class.cv (nb077AlphaDummy255 F I))
(SemanticCore.Wff.classEq (SemanticCore.Class.cv (nb077AlphaDummy259 F I))
(Compiler.CompactSourceSyntax.synCun
(Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv (nb077AlphaDummy260 F I)))
(Compiler.CompactSourceSyntax.synCsn Compiler.CompactSourceSyntax.synC0c)))))).fv
theorem
NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb077_support_mem_0283
(x : SemanticCore.Var)
:
nb077AlphaDummy256 x ∈ (Compiler.CompactSourceSyntax.synCcompl
(SemanticCore.Class.cab (nb077AlphaDummy261 x)
(Compiler.CompactSourceSyntax.synWrex (nb077AlphaDummy262 x) (SemanticCore.Class.cv x)
(SemanticCore.Wff.classEq (SemanticCore.Class.cv (nb077AlphaDummy261 x))
(Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv (nb077AlphaDummy262 x))))))).fv ∪ (Compiler.CompactSourceSyntax.synCcompl
(SemanticCore.Class.cab (nb077AlphaDummy261 x)
(Compiler.CompactSourceSyntax.synWrex (nb077AlphaDummy262 x) (SemanticCore.Class.cv (nb077AlphaDummy256 x))
(SemanticCore.Wff.classEq (SemanticCore.Class.cv (nb077AlphaDummy261 x))
(Compiler.CompactSourceSyntax.synCun
(Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv (nb077AlphaDummy262 x)))
(Compiler.CompactSourceSyntax.synCsn Compiler.CompactSourceSyntax.synC0c)))))).fv
theorem
NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb077_support_mem_0284
(F I : SemanticCore.Class)
:
nb077AlphaDummy255 F I ∈ (SemanticCore.Class.cab (nb077AlphaDummy259 F I)
(Compiler.CompactSourceSyntax.synWrex (nb077AlphaDummy260 F I) (SemanticCore.Class.cv (nb077AlphaDummy255 F I))
(SemanticCore.Wff.classEq (SemanticCore.Class.cv (nb077AlphaDummy259 F I))
(Compiler.CompactSourceSyntax.synCun
(Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv (nb077AlphaDummy260 F I)))
(Compiler.CompactSourceSyntax.synCsn Compiler.CompactSourceSyntax.synC0c))))).fv ∪ (SemanticCore.Class.cab (nb077AlphaDummy259 F I)
(Compiler.CompactSourceSyntax.synWrex (nb077AlphaDummy260 F I) (SemanticCore.Class.cv (nb077AlphaDummy255 F I))
(SemanticCore.Wff.classEq (SemanticCore.Class.cv (nb077AlphaDummy259 F I))
(Compiler.CompactSourceSyntax.synCun
(Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv (nb077AlphaDummy260 F I)))
(Compiler.CompactSourceSyntax.synCsn Compiler.CompactSourceSyntax.synC0c))))).fv
theorem
NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb077_support_mem_0285
(x : SemanticCore.Var)
:
nb077AlphaDummy256 x ∈ (SemanticCore.Class.cab (nb077AlphaDummy261 x)
(Compiler.CompactSourceSyntax.synWrex (nb077AlphaDummy262 x) (SemanticCore.Class.cv (nb077AlphaDummy256 x))
(SemanticCore.Wff.classEq (SemanticCore.Class.cv (nb077AlphaDummy261 x))
(Compiler.CompactSourceSyntax.synCun
(Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv (nb077AlphaDummy262 x)))
(Compiler.CompactSourceSyntax.synCsn Compiler.CompactSourceSyntax.synC0c))))).fv ∪ (SemanticCore.Class.cab (nb077AlphaDummy261 x)
(Compiler.CompactSourceSyntax.synWrex (nb077AlphaDummy262 x) (SemanticCore.Class.cv (nb077AlphaDummy256 x))
(SemanticCore.Wff.classEq (SemanticCore.Class.cv (nb077AlphaDummy261 x))
(Compiler.CompactSourceSyntax.synCun
(Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv (nb077AlphaDummy262 x)))
(Compiler.CompactSourceSyntax.synCsn Compiler.CompactSourceSyntax.synC0c))))).fv
theorem
NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb077_support_mem_0292
(F I : SemanticCore.Class)
:
nb077AlphaDummy296 F I ∈ (Compiler.CompactSourceSyntax.synCnin (SemanticCore.Class.cv (nb077AlphaDummy296 F I))
(SemanticCore.Class.cv (nb077AlphaDummy297 F I))).fv ∪ (Compiler.CompactSourceSyntax.synCnin (SemanticCore.Class.cv (nb077AlphaDummy296 F I))
(SemanticCore.Class.cv (nb077AlphaDummy297 F I))).fv
theorem
NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb077_support_mem_0296
(F I : SemanticCore.Class)
:
nb077AlphaDummy297 F I ∈ (Compiler.CompactSourceSyntax.synCnin (SemanticCore.Class.cv (nb077AlphaDummy296 F I))
(SemanticCore.Class.cv (nb077AlphaDummy297 F I))).fv ∪ (Compiler.CompactSourceSyntax.synCnin (SemanticCore.Class.cv (nb077AlphaDummy296 F I))
(SemanticCore.Class.cv (nb077AlphaDummy297 F I))).fv