NF weak partition development: NAR4H5C091M3BPart002.
theorem
NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb091_fresh_225
(D R : SemanticCore.Class)
:
nb091AlphaDummy060 D R ∉
(Compiler.CompactSourceSyntax.synCin D
(Compiler.CompactSourceSyntax.synCima
(Compiler.CompactSourceSyntax.synCcnv
(Compiler.CompactSourceSyntax.synCdif R Compiler.CompactSourceSyntax.synCid))
(Compiler.CompactSourceSyntax.synCsn
(Compiler.CompactSourceSyntax.synCuni
(Compiler.CompactSourceSyntax.synCuni (SemanticCore.Class.cv (nb091AlphaDummy000 D R))))))).fv ∪ (Compiler.CompactSourceSyntax.synCin D
(Compiler.CompactSourceSyntax.synCima
(Compiler.CompactSourceSyntax.synCcnv
(Compiler.CompactSourceSyntax.synCdif R Compiler.CompactSourceSyntax.synCid))
(Compiler.CompactSourceSyntax.synCsn
(Compiler.CompactSourceSyntax.synCuni
(Compiler.CompactSourceSyntax.synCuni (SemanticCore.Class.cv (nb091AlphaDummy000 D R))))))).fv
theorem
NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb091_fresh_227
(D R : SemanticCore.Class)
(p : SemanticCore.Var)
:
nb091AlphaDummy061 D R p ∉
(Compiler.CompactSourceSyntax.synCin D
(Compiler.CompactSourceSyntax.synCima
(Compiler.CompactSourceSyntax.synCcnv
(Compiler.CompactSourceSyntax.synCdif R Compiler.CompactSourceSyntax.synCid))
(Compiler.CompactSourceSyntax.synCsn
(Compiler.CompactSourceSyntax.synCuni
(Compiler.CompactSourceSyntax.synCuni (SemanticCore.Class.cv p)))))).fv ∪ (Compiler.CompactSourceSyntax.synCin D
(Compiler.CompactSourceSyntax.synCima
(Compiler.CompactSourceSyntax.synCcnv
(Compiler.CompactSourceSyntax.synCdif R Compiler.CompactSourceSyntax.synCid))
(Compiler.CompactSourceSyntax.synCsn
(Compiler.CompactSourceSyntax.synCuni
(Compiler.CompactSourceSyntax.synCuni (SemanticCore.Class.cv p)))))).fv
theorem
NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb091_fresh_228
(D R : SemanticCore.Class)
(p : SemanticCore.Var)
:
nb091AlphaDummy062 D R p ∉
(Compiler.CompactSourceSyntax.synCin D
(Compiler.CompactSourceSyntax.synCima
(Compiler.CompactSourceSyntax.synCcnv
(Compiler.CompactSourceSyntax.synCdif R Compiler.CompactSourceSyntax.synCid))
(Compiler.CompactSourceSyntax.synCsn
(Compiler.CompactSourceSyntax.synCuni
(Compiler.CompactSourceSyntax.synCuni (SemanticCore.Class.cv p)))))).fv ∪ (Compiler.CompactSourceSyntax.synCin D
(Compiler.CompactSourceSyntax.synCima
(Compiler.CompactSourceSyntax.synCcnv
(Compiler.CompactSourceSyntax.synCdif R Compiler.CompactSourceSyntax.synCid))
(Compiler.CompactSourceSyntax.synCsn
(Compiler.CompactSourceSyntax.synCuni
(Compiler.CompactSourceSyntax.synCuni (SemanticCore.Class.cv p)))))).fv
theorem
NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb091_fresh_230
(D R : SemanticCore.Class)
:
nb091AlphaDummy047 D R ∉
(Compiler.CompactSourceSyntax.synCin R
(Compiler.CompactSourceSyntax.synCxp
(Compiler.CompactSourceSyntax.synCin D
(Compiler.CompactSourceSyntax.synCima
(Compiler.CompactSourceSyntax.synCcnv
(Compiler.CompactSourceSyntax.synCdif R Compiler.CompactSourceSyntax.synCid))
(Compiler.CompactSourceSyntax.synCsn
(Compiler.CompactSourceSyntax.synCuni
(Compiler.CompactSourceSyntax.synCuni (SemanticCore.Class.cv (nb091AlphaDummy000 D R)))))))
(Compiler.CompactSourceSyntax.synCin D
(Compiler.CompactSourceSyntax.synCima
(Compiler.CompactSourceSyntax.synCcnv
(Compiler.CompactSourceSyntax.synCdif R Compiler.CompactSourceSyntax.synCid))
(Compiler.CompactSourceSyntax.synCsn
(Compiler.CompactSourceSyntax.synCuni
(Compiler.CompactSourceSyntax.synCuni (SemanticCore.Class.cv (nb091AlphaDummy000 D R))))))))).fv ∪ (Compiler.CompactSourceSyntax.synCin D
(Compiler.CompactSourceSyntax.synCima
(Compiler.CompactSourceSyntax.synCcnv
(Compiler.CompactSourceSyntax.synCdif R Compiler.CompactSourceSyntax.synCid))
(Compiler.CompactSourceSyntax.synCsn
(Compiler.CompactSourceSyntax.synCuni
(Compiler.CompactSourceSyntax.synCuni (SemanticCore.Class.cv (nb091AlphaDummy000 D R))))))).fv
theorem
NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb091_fresh_231
(D R : SemanticCore.Class)
:
nb091AlphaDummy048 D R ∉
(Compiler.CompactSourceSyntax.synCin R
(Compiler.CompactSourceSyntax.synCxp
(Compiler.CompactSourceSyntax.synCin D
(Compiler.CompactSourceSyntax.synCima
(Compiler.CompactSourceSyntax.synCcnv
(Compiler.CompactSourceSyntax.synCdif R Compiler.CompactSourceSyntax.synCid))
(Compiler.CompactSourceSyntax.synCsn
(Compiler.CompactSourceSyntax.synCuni
(Compiler.CompactSourceSyntax.synCuni (SemanticCore.Class.cv (nb091AlphaDummy000 D R)))))))
(Compiler.CompactSourceSyntax.synCin D
(Compiler.CompactSourceSyntax.synCima
(Compiler.CompactSourceSyntax.synCcnv
(Compiler.CompactSourceSyntax.synCdif R Compiler.CompactSourceSyntax.synCid))
(Compiler.CompactSourceSyntax.synCsn
(Compiler.CompactSourceSyntax.synCuni
(Compiler.CompactSourceSyntax.synCuni (SemanticCore.Class.cv (nb091AlphaDummy000 D R))))))))).fv ∪ (Compiler.CompactSourceSyntax.synCin D
(Compiler.CompactSourceSyntax.synCima
(Compiler.CompactSourceSyntax.synCcnv
(Compiler.CompactSourceSyntax.synCdif R Compiler.CompactSourceSyntax.synCid))
(Compiler.CompactSourceSyntax.synCsn
(Compiler.CompactSourceSyntax.synCuni
(Compiler.CompactSourceSyntax.synCuni (SemanticCore.Class.cv (nb091AlphaDummy000 D R))))))).fv
theorem
NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb091_fresh_233
(D R : SemanticCore.Class)
(p : SemanticCore.Var)
:
nb091AlphaDummy049 D R p ∉
(Compiler.CompactSourceSyntax.synCin R
(Compiler.CompactSourceSyntax.synCxp
(Compiler.CompactSourceSyntax.synCin D
(Compiler.CompactSourceSyntax.synCima
(Compiler.CompactSourceSyntax.synCcnv
(Compiler.CompactSourceSyntax.synCdif R Compiler.CompactSourceSyntax.synCid))
(Compiler.CompactSourceSyntax.synCsn
(Compiler.CompactSourceSyntax.synCuni
(Compiler.CompactSourceSyntax.synCuni (SemanticCore.Class.cv p))))))
(Compiler.CompactSourceSyntax.synCin D
(Compiler.CompactSourceSyntax.synCima
(Compiler.CompactSourceSyntax.synCcnv
(Compiler.CompactSourceSyntax.synCdif R Compiler.CompactSourceSyntax.synCid))
(Compiler.CompactSourceSyntax.synCsn
(Compiler.CompactSourceSyntax.synCuni
(Compiler.CompactSourceSyntax.synCuni (SemanticCore.Class.cv p)))))))).fv ∪ (Compiler.CompactSourceSyntax.synCin D
(Compiler.CompactSourceSyntax.synCima
(Compiler.CompactSourceSyntax.synCcnv
(Compiler.CompactSourceSyntax.synCdif R Compiler.CompactSourceSyntax.synCid))
(Compiler.CompactSourceSyntax.synCsn
(Compiler.CompactSourceSyntax.synCuni
(Compiler.CompactSourceSyntax.synCuni (SemanticCore.Class.cv p)))))).fv
theorem
NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb091_fresh_234
(D R : SemanticCore.Class)
(p : SemanticCore.Var)
:
nb091AlphaDummy050 D R p ∉
(Compiler.CompactSourceSyntax.synCin R
(Compiler.CompactSourceSyntax.synCxp
(Compiler.CompactSourceSyntax.synCin D
(Compiler.CompactSourceSyntax.synCima
(Compiler.CompactSourceSyntax.synCcnv
(Compiler.CompactSourceSyntax.synCdif R Compiler.CompactSourceSyntax.synCid))
(Compiler.CompactSourceSyntax.synCsn
(Compiler.CompactSourceSyntax.synCuni
(Compiler.CompactSourceSyntax.synCuni (SemanticCore.Class.cv p))))))
(Compiler.CompactSourceSyntax.synCin D
(Compiler.CompactSourceSyntax.synCima
(Compiler.CompactSourceSyntax.synCcnv
(Compiler.CompactSourceSyntax.synCdif R Compiler.CompactSourceSyntax.synCid))
(Compiler.CompactSourceSyntax.synCsn
(Compiler.CompactSourceSyntax.synCuni
(Compiler.CompactSourceSyntax.synCuni (SemanticCore.Class.cv p)))))))).fv ∪ (Compiler.CompactSourceSyntax.synCin D
(Compiler.CompactSourceSyntax.synCima
(Compiler.CompactSourceSyntax.synCcnv
(Compiler.CompactSourceSyntax.synCdif R Compiler.CompactSourceSyntax.synCid))
(Compiler.CompactSourceSyntax.synCsn
(Compiler.CompactSourceSyntax.synCuni
(Compiler.CompactSourceSyntax.synCuni (SemanticCore.Class.cv p)))))).fv
theorem
NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb091_fresh_236
(D R : SemanticCore.Class)
:
nb091AlphaDummy025 D R ∉
(Compiler.CompactSourceSyntax.synCnin (SemanticCore.Class.cv (nb091AlphaDummy020 D R))
(SemanticCore.Class.cv (nb091AlphaDummy021 D R))).fv ∪ (Compiler.CompactSourceSyntax.synCnin (SemanticCore.Class.cv (nb091AlphaDummy020 D R))
(SemanticCore.Class.cv (nb091AlphaDummy021 D R))).fv
theorem
NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb091_fresh_237
(D R : SemanticCore.Class)
(p : SemanticCore.Var)
:
nb091AlphaDummy026 D R p ∉
(Compiler.CompactSourceSyntax.synCnin (SemanticCore.Class.cv (nb091AlphaDummy023 D R p))
(SemanticCore.Class.cv (nb091AlphaDummy024 D R p))).fv ∪ (Compiler.CompactSourceSyntax.synCnin (SemanticCore.Class.cv (nb091AlphaDummy023 D R p))
(SemanticCore.Class.cv (nb091AlphaDummy024 D R p))).fv
theorem
NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb091_fresh_238
(D R : SemanticCore.Class)
:
nb091AlphaDummy085 D R ∉
(Compiler.CompactSourceSyntax.synCnin (SemanticCore.Class.cv (nb091AlphaDummy080 D R))
(SemanticCore.Class.cv (nb091AlphaDummy081 D R))).fv ∪ (Compiler.CompactSourceSyntax.synCnin (SemanticCore.Class.cv (nb091AlphaDummy080 D R))
(SemanticCore.Class.cv (nb091AlphaDummy081 D R))).fv
theorem
NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb091_fresh_239
(D R : SemanticCore.Class)
(p : SemanticCore.Var)
:
nb091AlphaDummy086 D R p ∉
(Compiler.CompactSourceSyntax.synCnin (SemanticCore.Class.cv (nb091AlphaDummy083 D R p))
(SemanticCore.Class.cv (nb091AlphaDummy084 D R p))).fv ∪ (Compiler.CompactSourceSyntax.synCnin (SemanticCore.Class.cv (nb091AlphaDummy083 D R p))
(SemanticCore.Class.cv (nb091AlphaDummy084 D R p))).fv
theorem
NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb091_fresh_240
(D R : SemanticCore.Class)
:
nb091AlphaDummy139 D R ∉
(Compiler.CompactSourceSyntax.synCnin (SemanticCore.Class.cv (nb091AlphaDummy134 D R))
(SemanticCore.Class.cv (nb091AlphaDummy135 D R))).fv ∪ (Compiler.CompactSourceSyntax.synCnin (SemanticCore.Class.cv (nb091AlphaDummy134 D R))
(SemanticCore.Class.cv (nb091AlphaDummy135 D R))).fv
theorem
NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb091_fresh_241
(R : SemanticCore.Class)
(p : SemanticCore.Var)
:
nb091AlphaDummy140 R p ∉
(Compiler.CompactSourceSyntax.synCnin (SemanticCore.Class.cv (nb091AlphaDummy137 R p))
(SemanticCore.Class.cv (nb091AlphaDummy138 R p))).fv ∪ (Compiler.CompactSourceSyntax.synCnin (SemanticCore.Class.cv (nb091AlphaDummy137 R p))
(SemanticCore.Class.cv (nb091AlphaDummy138 R p))).fv
theorem
NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb091_fresh_242
(D R : SemanticCore.Class)
:
nb091AlphaDummy167 D R ∉
(Compiler.CompactSourceSyntax.synCnin (SemanticCore.Class.cv (nb091AlphaDummy162 D R))
(SemanticCore.Class.cv (nb091AlphaDummy163 D R))).fv ∪ (Compiler.CompactSourceSyntax.synCnin (SemanticCore.Class.cv (nb091AlphaDummy162 D R))
(SemanticCore.Class.cv (nb091AlphaDummy163 D R))).fv
theorem
NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb091_fresh_243
(D R : SemanticCore.Class)
(p : SemanticCore.Var)
:
nb091AlphaDummy168 D R p ∉
(Compiler.CompactSourceSyntax.synCnin (SemanticCore.Class.cv (nb091AlphaDummy165 D R p))
(SemanticCore.Class.cv (nb091AlphaDummy166 D R p))).fv ∪ (Compiler.CompactSourceSyntax.synCnin (SemanticCore.Class.cv (nb091AlphaDummy165 D R p))
(SemanticCore.Class.cv (nb091AlphaDummy166 D R p))).fv
theorem
NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb091_fresh_244
(D R : SemanticCore.Class)
:
nb091AlphaDummy203 D R ∉
(Compiler.CompactSourceSyntax.synCnin (SemanticCore.Class.cv (nb091AlphaDummy198 D R))
(SemanticCore.Class.cv (nb091AlphaDummy199 D R))).fv ∪ (Compiler.CompactSourceSyntax.synCnin (SemanticCore.Class.cv (nb091AlphaDummy198 D R))
(SemanticCore.Class.cv (nb091AlphaDummy199 D R))).fv
theorem
NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb091_fresh_245
(D R : SemanticCore.Class)
(p : SemanticCore.Var)
:
nb091AlphaDummy204 D R p ∉
(Compiler.CompactSourceSyntax.synCnin (SemanticCore.Class.cv (nb091AlphaDummy201 D R p))
(SemanticCore.Class.cv (nb091AlphaDummy202 D R p))).fv ∪ (Compiler.CompactSourceSyntax.synCnin (SemanticCore.Class.cv (nb091AlphaDummy201 D R p))
(SemanticCore.Class.cv (nb091AlphaDummy202 D R p))).fv
theorem
NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb091_fresh_246
(D R : SemanticCore.Class)
:
nb091AlphaDummy101 D R ∉
(Compiler.CompactSourceSyntax.synCnin D
(Compiler.CompactSourceSyntax.synCima
(Compiler.CompactSourceSyntax.synCcnv
(Compiler.CompactSourceSyntax.synCdif R Compiler.CompactSourceSyntax.synCid))
(Compiler.CompactSourceSyntax.synCsn
(Compiler.CompactSourceSyntax.synCuni
(Compiler.CompactSourceSyntax.synCuni (SemanticCore.Class.cv (nb091AlphaDummy000 D R))))))).fv ∪ (Compiler.CompactSourceSyntax.synCnin D
(Compiler.CompactSourceSyntax.synCima
(Compiler.CompactSourceSyntax.synCcnv
(Compiler.CompactSourceSyntax.synCdif R Compiler.CompactSourceSyntax.synCid))
(Compiler.CompactSourceSyntax.synCsn
(Compiler.CompactSourceSyntax.synCuni
(Compiler.CompactSourceSyntax.synCuni (SemanticCore.Class.cv (nb091AlphaDummy000 D R))))))).fv
theorem
NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb091_fresh_247
(D R : SemanticCore.Class)
(p : SemanticCore.Var)
:
nb091AlphaDummy102 D R p ∉
(Compiler.CompactSourceSyntax.synCnin D
(Compiler.CompactSourceSyntax.synCima
(Compiler.CompactSourceSyntax.synCcnv
(Compiler.CompactSourceSyntax.synCdif R Compiler.CompactSourceSyntax.synCid))
(Compiler.CompactSourceSyntax.synCsn
(Compiler.CompactSourceSyntax.synCuni
(Compiler.CompactSourceSyntax.synCuni (SemanticCore.Class.cv p)))))).fv ∪ (Compiler.CompactSourceSyntax.synCnin D
(Compiler.CompactSourceSyntax.synCima
(Compiler.CompactSourceSyntax.synCcnv
(Compiler.CompactSourceSyntax.synCdif R Compiler.CompactSourceSyntax.synCid))
(Compiler.CompactSourceSyntax.synCsn
(Compiler.CompactSourceSyntax.synCuni
(Compiler.CompactSourceSyntax.synCuni (SemanticCore.Class.cv p)))))).fv
theorem
NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb091_fresh_248
(D R : SemanticCore.Class)
:
nb091AlphaDummy055 D R ∉
(Compiler.CompactSourceSyntax.synCnin R
(Compiler.CompactSourceSyntax.synCxp
(Compiler.CompactSourceSyntax.synCin D
(Compiler.CompactSourceSyntax.synCima
(Compiler.CompactSourceSyntax.synCcnv
(Compiler.CompactSourceSyntax.synCdif R Compiler.CompactSourceSyntax.synCid))
(Compiler.CompactSourceSyntax.synCsn
(Compiler.CompactSourceSyntax.synCuni
(Compiler.CompactSourceSyntax.synCuni (SemanticCore.Class.cv (nb091AlphaDummy000 D R)))))))
(Compiler.CompactSourceSyntax.synCin D
(Compiler.CompactSourceSyntax.synCima
(Compiler.CompactSourceSyntax.synCcnv
(Compiler.CompactSourceSyntax.synCdif R Compiler.CompactSourceSyntax.synCid))
(Compiler.CompactSourceSyntax.synCsn
(Compiler.CompactSourceSyntax.synCuni
(Compiler.CompactSourceSyntax.synCuni (SemanticCore.Class.cv (nb091AlphaDummy000 D R))))))))).fv ∪ (Compiler.CompactSourceSyntax.synCnin R
(Compiler.CompactSourceSyntax.synCxp
(Compiler.CompactSourceSyntax.synCin D
(Compiler.CompactSourceSyntax.synCima
(Compiler.CompactSourceSyntax.synCcnv
(Compiler.CompactSourceSyntax.synCdif R Compiler.CompactSourceSyntax.synCid))
(Compiler.CompactSourceSyntax.synCsn
(Compiler.CompactSourceSyntax.synCuni
(Compiler.CompactSourceSyntax.synCuni (SemanticCore.Class.cv (nb091AlphaDummy000 D R)))))))
(Compiler.CompactSourceSyntax.synCin D
(Compiler.CompactSourceSyntax.synCima
(Compiler.CompactSourceSyntax.synCcnv
(Compiler.CompactSourceSyntax.synCdif R Compiler.CompactSourceSyntax.synCid))
(Compiler.CompactSourceSyntax.synCsn
(Compiler.CompactSourceSyntax.synCuni
(Compiler.CompactSourceSyntax.synCuni (SemanticCore.Class.cv (nb091AlphaDummy000 D R))))))))).fv
theorem
NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb091_fresh_249
(D R : SemanticCore.Class)
(p : SemanticCore.Var)
:
nb091AlphaDummy056 D R p ∉
(Compiler.CompactSourceSyntax.synCnin R
(Compiler.CompactSourceSyntax.synCxp
(Compiler.CompactSourceSyntax.synCin D
(Compiler.CompactSourceSyntax.synCima
(Compiler.CompactSourceSyntax.synCcnv
(Compiler.CompactSourceSyntax.synCdif R Compiler.CompactSourceSyntax.synCid))
(Compiler.CompactSourceSyntax.synCsn
(Compiler.CompactSourceSyntax.synCuni
(Compiler.CompactSourceSyntax.synCuni (SemanticCore.Class.cv p))))))
(Compiler.CompactSourceSyntax.synCin D
(Compiler.CompactSourceSyntax.synCima
(Compiler.CompactSourceSyntax.synCcnv
(Compiler.CompactSourceSyntax.synCdif R Compiler.CompactSourceSyntax.synCid))
(Compiler.CompactSourceSyntax.synCsn
(Compiler.CompactSourceSyntax.synCuni
(Compiler.CompactSourceSyntax.synCuni (SemanticCore.Class.cv p)))))))).fv ∪ (Compiler.CompactSourceSyntax.synCnin R
(Compiler.CompactSourceSyntax.synCxp
(Compiler.CompactSourceSyntax.synCin D
(Compiler.CompactSourceSyntax.synCima
(Compiler.CompactSourceSyntax.synCcnv
(Compiler.CompactSourceSyntax.synCdif R Compiler.CompactSourceSyntax.synCid))
(Compiler.CompactSourceSyntax.synCsn
(Compiler.CompactSourceSyntax.synCuni
(Compiler.CompactSourceSyntax.synCuni (SemanticCore.Class.cv p))))))
(Compiler.CompactSourceSyntax.synCin D
(Compiler.CompactSourceSyntax.synCima
(Compiler.CompactSourceSyntax.synCcnv
(Compiler.CompactSourceSyntax.synCdif R Compiler.CompactSourceSyntax.synCid))
(Compiler.CompactSourceSyntax.synCsn
(Compiler.CompactSourceSyntax.synCuni
(Compiler.CompactSourceSyntax.synCuni (SemanticCore.Class.cv p)))))))).fv
theorem
NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb091_fresh_251
(D R : SemanticCore.Class)
(p : SemanticCore.Var)
:
theorem
NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb091_fresh_253
(D R : SemanticCore.Class)
(p : SemanticCore.Var)
:
theorem
NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb091_fresh_255
(D R : SemanticCore.Class)
(p : SemanticCore.Var)
:
theorem
NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb091_fresh_259
(D R : SemanticCore.Class)
(p : SemanticCore.Var)
:
theorem
NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb091_fresh_268
(D R : SemanticCore.Class)
:
nb091AlphaDummy103 D R ∉
D.fv ∪ (Compiler.CompactSourceSyntax.synCima
(Compiler.CompactSourceSyntax.synCcnv
(Compiler.CompactSourceSyntax.synCdif R Compiler.CompactSourceSyntax.synCid))
(Compiler.CompactSourceSyntax.synCsn
(Compiler.CompactSourceSyntax.synCuni
(Compiler.CompactSourceSyntax.synCuni (SemanticCore.Class.cv (nb091AlphaDummy000 D R)))))).fv
theorem
NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb091_fresh_269
(D R : SemanticCore.Class)
(p : SemanticCore.Var)
:
nb091AlphaDummy104 D R p ∉
D.fv ∪ (Compiler.CompactSourceSyntax.synCima
(Compiler.CompactSourceSyntax.synCcnv
(Compiler.CompactSourceSyntax.synCdif R Compiler.CompactSourceSyntax.synCid))
(Compiler.CompactSourceSyntax.synCsn
(Compiler.CompactSourceSyntax.synCuni (Compiler.CompactSourceSyntax.synCuni (SemanticCore.Class.cv p))))).fv
theorem
NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb091_fresh_270
(D R : SemanticCore.Class)
:
nb091AlphaDummy057 D R ∉
R.fv ∪ (Compiler.CompactSourceSyntax.synCxp
(Compiler.CompactSourceSyntax.synCin D
(Compiler.CompactSourceSyntax.synCima
(Compiler.CompactSourceSyntax.synCcnv
(Compiler.CompactSourceSyntax.synCdif R Compiler.CompactSourceSyntax.synCid))
(Compiler.CompactSourceSyntax.synCsn
(Compiler.CompactSourceSyntax.synCuni
(Compiler.CompactSourceSyntax.synCuni (SemanticCore.Class.cv (nb091AlphaDummy000 D R)))))))
(Compiler.CompactSourceSyntax.synCin D
(Compiler.CompactSourceSyntax.synCima
(Compiler.CompactSourceSyntax.synCcnv
(Compiler.CompactSourceSyntax.synCdif R Compiler.CompactSourceSyntax.synCid))
(Compiler.CompactSourceSyntax.synCsn
(Compiler.CompactSourceSyntax.synCuni
(Compiler.CompactSourceSyntax.synCuni (SemanticCore.Class.cv (nb091AlphaDummy000 D R)))))))).fv
theorem
NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb091_fresh_271
(D R : SemanticCore.Class)
(p : SemanticCore.Var)
:
nb091AlphaDummy058 D R p ∉
R.fv ∪ (Compiler.CompactSourceSyntax.synCxp
(Compiler.CompactSourceSyntax.synCin D
(Compiler.CompactSourceSyntax.synCima
(Compiler.CompactSourceSyntax.synCcnv
(Compiler.CompactSourceSyntax.synCdif R Compiler.CompactSourceSyntax.synCid))
(Compiler.CompactSourceSyntax.synCsn
(Compiler.CompactSourceSyntax.synCuni (Compiler.CompactSourceSyntax.synCuni (SemanticCore.Class.cv p))))))
(Compiler.CompactSourceSyntax.synCin D
(Compiler.CompactSourceSyntax.synCima
(Compiler.CompactSourceSyntax.synCcnv
(Compiler.CompactSourceSyntax.synCdif R Compiler.CompactSourceSyntax.synCid))
(Compiler.CompactSourceSyntax.synCsn
(Compiler.CompactSourceSyntax.synCuni
(Compiler.CompactSourceSyntax.synCuni (SemanticCore.Class.cv p))))))).fv
theorem
NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb091_fresh_272
(D R : SemanticCore.Class)
:
nb091AlphaDummy000 D R ∉ R.fv ∪ D.fv
theorem
NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb091_fresh_273
(D R : SemanticCore.Class)
:
nb091AlphaDummy001 D R ∉
{nb091AlphaDummy000 D R} ∪ (Compiler.CompactSourceSyntax.synCpw1 (Compiler.CompactSourceSyntax.synCpw1 D)).fv ∪ (Compiler.CompactSourceSyntax.synCec
(Compiler.CompactSourceSyntax.synChnwcutcode R D
(Compiler.CompactSourceSyntax.synCuni
(Compiler.CompactSourceSyntax.synCuni (SemanticCore.Class.cv (nb091AlphaDummy000 D R)))))
(Compiler.CompactSourceSyntax.synChwniso D)).fv
theorem
NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb091_fresh_274
(D R : SemanticCore.Class)
:
nb091AlphaDummy003 D R ∉
{nb091AlphaDummy000 D R} ∪ {nb091AlphaDummy001 D R} ∪ (Compiler.CompactSourceSyntax.synWa
(SemanticCore.Wff.classMem (SemanticCore.Class.cv (nb091AlphaDummy000 D R))
(Compiler.CompactSourceSyntax.synCpw1 (Compiler.CompactSourceSyntax.synCpw1 D)))
(SemanticCore.Wff.classEq (SemanticCore.Class.cv (nb091AlphaDummy001 D R))
(Compiler.CompactSourceSyntax.synCec
(Compiler.CompactSourceSyntax.synChnwcutcode R D
(Compiler.CompactSourceSyntax.synCuni
(Compiler.CompactSourceSyntax.synCuni (SemanticCore.Class.cv (nb091AlphaDummy000 D R)))))
(Compiler.CompactSourceSyntax.synChwniso D)))).fv
theorem
NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb091_fresh_275
(D R : SemanticCore.Class)
:
nb091AlphaDummy063 D R ∉
{nb091AlphaDummy059 D R} ∪ {nb091AlphaDummy060 D R} ∪ (Compiler.CompactSourceSyntax.synWa
(SemanticCore.Wff.classMem (SemanticCore.Class.cv (nb091AlphaDummy059 D R))
(Compiler.CompactSourceSyntax.synCin D
(Compiler.CompactSourceSyntax.synCima
(Compiler.CompactSourceSyntax.synCcnv
(Compiler.CompactSourceSyntax.synCdif R Compiler.CompactSourceSyntax.synCid))
(Compiler.CompactSourceSyntax.synCsn
(Compiler.CompactSourceSyntax.synCuni
(Compiler.CompactSourceSyntax.synCuni (SemanticCore.Class.cv (nb091AlphaDummy000 D R))))))))
(SemanticCore.Wff.classMem (SemanticCore.Class.cv (nb091AlphaDummy060 D R))
(Compiler.CompactSourceSyntax.synCin D
(Compiler.CompactSourceSyntax.synCima
(Compiler.CompactSourceSyntax.synCcnv
(Compiler.CompactSourceSyntax.synCdif R Compiler.CompactSourceSyntax.synCid))
(Compiler.CompactSourceSyntax.synCsn
(Compiler.CompactSourceSyntax.synCuni
(Compiler.CompactSourceSyntax.synCuni (SemanticCore.Class.cv (nb091AlphaDummy000 D R))))))))).fv
theorem
NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb091_fresh_276
(D R : SemanticCore.Class)
(p : SemanticCore.Var)
:
nb091AlphaDummy064 D R p ∉
{nb091AlphaDummy061 D R p} ∪ {nb091AlphaDummy062 D R p} ∪ (Compiler.CompactSourceSyntax.synWa
(SemanticCore.Wff.classMem (SemanticCore.Class.cv (nb091AlphaDummy061 D R p))
(Compiler.CompactSourceSyntax.synCin D
(Compiler.CompactSourceSyntax.synCima
(Compiler.CompactSourceSyntax.synCcnv
(Compiler.CompactSourceSyntax.synCdif R Compiler.CompactSourceSyntax.synCid))
(Compiler.CompactSourceSyntax.synCsn
(Compiler.CompactSourceSyntax.synCuni
(Compiler.CompactSourceSyntax.synCuni (SemanticCore.Class.cv p)))))))
(SemanticCore.Wff.classMem (SemanticCore.Class.cv (nb091AlphaDummy062 D R p))
(Compiler.CompactSourceSyntax.synCin D
(Compiler.CompactSourceSyntax.synCima
(Compiler.CompactSourceSyntax.synCcnv
(Compiler.CompactSourceSyntax.synCdif R Compiler.CompactSourceSyntax.synCid))
(Compiler.CompactSourceSyntax.synCsn
(Compiler.CompactSourceSyntax.synCuni
(Compiler.CompactSourceSyntax.synCuni (SemanticCore.Class.cv p)))))))).fv
theorem
NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb091_fresh_277
(D R : SemanticCore.Class)
(p : SemanticCore.Var)
:
nb091AlphaDummy002 D R p ∉
{p} ∪ (Compiler.CompactSourceSyntax.synCpw1 (Compiler.CompactSourceSyntax.synCpw1 D)).fv ∪ (Compiler.CompactSourceSyntax.synCec
(Compiler.CompactSourceSyntax.synChnwcutcode R D
(Compiler.CompactSourceSyntax.synCuni (Compiler.CompactSourceSyntax.synCuni (SemanticCore.Class.cv p))))
(Compiler.CompactSourceSyntax.synChwniso D)).fv
theorem
NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb091_fresh_278
(D R : SemanticCore.Class)
(p : SemanticCore.Var)
:
nb091AlphaDummy004 D R p ∉
{p} ∪ {nb091AlphaDummy002 D R p} ∪ (Compiler.CompactSourceSyntax.synWa
(SemanticCore.Wff.classMem (SemanticCore.Class.cv p)
(Compiler.CompactSourceSyntax.synCpw1 (Compiler.CompactSourceSyntax.synCpw1 D)))
(SemanticCore.Wff.classEq (SemanticCore.Class.cv (nb091AlphaDummy002 D R p))
(Compiler.CompactSourceSyntax.synCec
(Compiler.CompactSourceSyntax.synChnwcutcode R D
(Compiler.CompactSourceSyntax.synCuni (Compiler.CompactSourceSyntax.synCuni (SemanticCore.Class.cv p))))
(Compiler.CompactSourceSyntax.synChwniso D)))).fv
theorem
NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb091_support_mem_0000
(D R : SemanticCore.Class)
:
nb091AlphaDummy000 D R ∈ {nb091AlphaDummy000 D R} ∪ {nb091AlphaDummy001 D R} ∪ (Compiler.CompactSourceSyntax.synWa
(SemanticCore.Wff.classMem (SemanticCore.Class.cv (nb091AlphaDummy000 D R))
(Compiler.CompactSourceSyntax.synCpw1 (Compiler.CompactSourceSyntax.synCpw1 D)))
(SemanticCore.Wff.classEq (SemanticCore.Class.cv (nb091AlphaDummy001 D R))
(Compiler.CompactSourceSyntax.synCec
(Compiler.CompactSourceSyntax.synChnwcutcode R D
(Compiler.CompactSourceSyntax.synCuni
(Compiler.CompactSourceSyntax.synCuni (SemanticCore.Class.cv (nb091AlphaDummy000 D R)))))
(Compiler.CompactSourceSyntax.synChwniso D)))).fv
theorem
NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb091_support_mem_0001
(D R : SemanticCore.Class)
(p : SemanticCore.Var)
:
p ∈ {p} ∪ {nb091AlphaDummy002 D R p} ∪ (Compiler.CompactSourceSyntax.synWa
(SemanticCore.Wff.classMem (SemanticCore.Class.cv p)
(Compiler.CompactSourceSyntax.synCpw1 (Compiler.CompactSourceSyntax.synCpw1 D)))
(SemanticCore.Wff.classEq (SemanticCore.Class.cv (nb091AlphaDummy002 D R p))
(Compiler.CompactSourceSyntax.synCec
(Compiler.CompactSourceSyntax.synChnwcutcode R D
(Compiler.CompactSourceSyntax.synCuni (Compiler.CompactSourceSyntax.synCuni (SemanticCore.Class.cv p))))
(Compiler.CompactSourceSyntax.synChwniso D)))).fv
theorem
NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb091_support_mem_0002
(D R : SemanticCore.Class)
:
nb091AlphaDummy001 D R ∈ {nb091AlphaDummy000 D R} ∪ {nb091AlphaDummy001 D R} ∪ (Compiler.CompactSourceSyntax.synWa
(SemanticCore.Wff.classMem (SemanticCore.Class.cv (nb091AlphaDummy000 D R))
(Compiler.CompactSourceSyntax.synCpw1 (Compiler.CompactSourceSyntax.synCpw1 D)))
(SemanticCore.Wff.classEq (SemanticCore.Class.cv (nb091AlphaDummy001 D R))
(Compiler.CompactSourceSyntax.synCec
(Compiler.CompactSourceSyntax.synChnwcutcode R D
(Compiler.CompactSourceSyntax.synCuni
(Compiler.CompactSourceSyntax.synCuni (SemanticCore.Class.cv (nb091AlphaDummy000 D R)))))
(Compiler.CompactSourceSyntax.synChwniso D)))).fv
theorem
NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb091_support_mem_0003
(D R : SemanticCore.Class)
(p : SemanticCore.Var)
:
nb091AlphaDummy002 D R p ∈ {p} ∪ {nb091AlphaDummy002 D R p} ∪ (Compiler.CompactSourceSyntax.synWa
(SemanticCore.Wff.classMem (SemanticCore.Class.cv p)
(Compiler.CompactSourceSyntax.synCpw1 (Compiler.CompactSourceSyntax.synCpw1 D)))
(SemanticCore.Wff.classEq (SemanticCore.Class.cv (nb091AlphaDummy002 D R p))
(Compiler.CompactSourceSyntax.synCec
(Compiler.CompactSourceSyntax.synChnwcutcode R D
(Compiler.CompactSourceSyntax.synCuni (Compiler.CompactSourceSyntax.synCuni (SemanticCore.Class.cv p))))
(Compiler.CompactSourceSyntax.synChwniso D)))).fv
theorem
NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb091_support_mem_0004
(D R : SemanticCore.Class)
:
nb091AlphaDummy000 D R ∈ {nb091AlphaDummy000 D R} ∪ (Compiler.CompactSourceSyntax.synCpw1 (Compiler.CompactSourceSyntax.synCpw1 D)).fv ∪ (Compiler.CompactSourceSyntax.synCec
(Compiler.CompactSourceSyntax.synChnwcutcode R D
(Compiler.CompactSourceSyntax.synCuni
(Compiler.CompactSourceSyntax.synCuni (SemanticCore.Class.cv (nb091AlphaDummy000 D R)))))
(Compiler.CompactSourceSyntax.synChwniso D)).fv
theorem
NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb091_support_mem_0005
(D R : SemanticCore.Class)
(p : SemanticCore.Var)
:
p ∈ {p} ∪ (Compiler.CompactSourceSyntax.synCpw1 (Compiler.CompactSourceSyntax.synCpw1 D)).fv ∪ (Compiler.CompactSourceSyntax.synCec
(Compiler.CompactSourceSyntax.synChnwcutcode R D
(Compiler.CompactSourceSyntax.synCuni (Compiler.CompactSourceSyntax.synCuni (SemanticCore.Class.cv p))))
(Compiler.CompactSourceSyntax.synChwniso D)).fv
theorem
NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb091_support_mem_0007
(D R : SemanticCore.Class)
:
nb091AlphaDummy000 D R ∈ (Compiler.CompactSourceSyntax.synCcompl
(SemanticCore.Class.cab (nb091AlphaDummy005 D R)
(Compiler.CompactSourceSyntax.synWrex (nb091AlphaDummy006 D R)
(SemanticCore.Class.cv (nb091AlphaDummy000 D R))
(SemanticCore.Wff.classEq (SemanticCore.Class.cv (nb091AlphaDummy005 D R))
(Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv (nb091AlphaDummy006 D R))))))).fv ∪ (Compiler.CompactSourceSyntax.synCcompl
(SemanticCore.Class.cab (nb091AlphaDummy005 D R)
(Compiler.CompactSourceSyntax.synWrex (nb091AlphaDummy006 D R)
(SemanticCore.Class.cv (nb091AlphaDummy001 D R))
(SemanticCore.Wff.classEq (SemanticCore.Class.cv (nb091AlphaDummy005 D R))
(Compiler.CompactSourceSyntax.synCun
(Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv (nb091AlphaDummy006 D R)))
(Compiler.CompactSourceSyntax.synCsn Compiler.CompactSourceSyntax.synC0c)))))).fv
theorem
NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb091_support_mem_0009
(D R : SemanticCore.Class)
(p : SemanticCore.Var)
:
p ∈ (Compiler.CompactSourceSyntax.synCcompl
(SemanticCore.Class.cab (nb091AlphaDummy007 D R p)
(Compiler.CompactSourceSyntax.synWrex (nb091AlphaDummy008 D R p) (SemanticCore.Class.cv p)
(SemanticCore.Wff.classEq (SemanticCore.Class.cv (nb091AlphaDummy007 D R p))
(Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv (nb091AlphaDummy008 D R p))))))).fv ∪ (Compiler.CompactSourceSyntax.synCcompl
(SemanticCore.Class.cab (nb091AlphaDummy007 D R p)
(Compiler.CompactSourceSyntax.synWrex (nb091AlphaDummy008 D R p)
(SemanticCore.Class.cv (nb091AlphaDummy002 D R p))
(SemanticCore.Wff.classEq (SemanticCore.Class.cv (nb091AlphaDummy007 D R p))
(Compiler.CompactSourceSyntax.synCun
(Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv (nb091AlphaDummy008 D R p)))
(Compiler.CompactSourceSyntax.synCsn Compiler.CompactSourceSyntax.synC0c)))))).fv
theorem
NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb091_support_mem_0010
(D R : SemanticCore.Class)
:
nb091AlphaDummy000 D R ∈ (SemanticCore.Class.cab (nb091AlphaDummy005 D R)
(Compiler.CompactSourceSyntax.synWrex (nb091AlphaDummy006 D R) (SemanticCore.Class.cv (nb091AlphaDummy000 D R))
(SemanticCore.Wff.classEq (SemanticCore.Class.cv (nb091AlphaDummy005 D R))
(Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv (nb091AlphaDummy006 D R)))))).fv ∪ (SemanticCore.Class.cab (nb091AlphaDummy005 D R)
(Compiler.CompactSourceSyntax.synWrex (nb091AlphaDummy006 D R) (SemanticCore.Class.cv (nb091AlphaDummy000 D R))
(SemanticCore.Wff.classEq (SemanticCore.Class.cv (nb091AlphaDummy005 D R))
(Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv (nb091AlphaDummy006 D R)))))).fv
theorem
NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb091_support_mem_0011
(D R : SemanticCore.Class)
(p : SemanticCore.Var)
:
p ∈ (SemanticCore.Class.cab (nb091AlphaDummy007 D R p)
(Compiler.CompactSourceSyntax.synWrex (nb091AlphaDummy008 D R p) (SemanticCore.Class.cv p)
(SemanticCore.Wff.classEq (SemanticCore.Class.cv (nb091AlphaDummy007 D R p))
(Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv (nb091AlphaDummy008 D R p)))))).fv ∪ (SemanticCore.Class.cab (nb091AlphaDummy007 D R p)
(Compiler.CompactSourceSyntax.synWrex (nb091AlphaDummy008 D R p) (SemanticCore.Class.cv p)
(SemanticCore.Wff.classEq (SemanticCore.Class.cv (nb091AlphaDummy007 D R p))
(Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv (nb091AlphaDummy008 D R p)))))).fv
theorem
NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb091_support_mem_0014
(D R : SemanticCore.Class)
:
nb091AlphaDummy013 D R ∈ (SemanticCore.Wff.classMem (SemanticCore.Class.cv (nb091AlphaDummy013 D R)) Compiler.CompactSourceSyntax.synCnnc).fv ∪ (Compiler.CompactSourceSyntax.synCplc (SemanticCore.Class.cv (nb091AlphaDummy013 D R))
Compiler.CompactSourceSyntax.synC1c).fv ∪ (SemanticCore.Class.cv (nb091AlphaDummy013 D R)).fv
theorem
NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb091_support_mem_0015
(D R : SemanticCore.Class)
(p : SemanticCore.Var)
:
nb091AlphaDummy015 D R p ∈ (SemanticCore.Wff.classMem (SemanticCore.Class.cv (nb091AlphaDummy015 D R p))
Compiler.CompactSourceSyntax.synCnnc).fv ∪ (Compiler.CompactSourceSyntax.synCplc (SemanticCore.Class.cv (nb091AlphaDummy015 D R p))
Compiler.CompactSourceSyntax.synC1c).fv ∪ (SemanticCore.Class.cv (nb091AlphaDummy015 D R p)).fv
theorem
NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb091_support_mem_0018
(D R : SemanticCore.Class)
:
nb091AlphaDummy020 D R ∈ (Compiler.CompactSourceSyntax.synCnin (SemanticCore.Class.cv (nb091AlphaDummy020 D R))
(SemanticCore.Class.cv (nb091AlphaDummy021 D R))).fv ∪ (Compiler.CompactSourceSyntax.synCnin (SemanticCore.Class.cv (nb091AlphaDummy020 D R))
(SemanticCore.Class.cv (nb091AlphaDummy021 D R))).fv
theorem
NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb091_support_mem_0019
(D R : SemanticCore.Class)
(p : SemanticCore.Var)
:
nb091AlphaDummy023 D R p ∈ (Compiler.CompactSourceSyntax.synCnin (SemanticCore.Class.cv (nb091AlphaDummy023 D R p))
(SemanticCore.Class.cv (nb091AlphaDummy024 D R p))).fv ∪ (Compiler.CompactSourceSyntax.synCnin (SemanticCore.Class.cv (nb091AlphaDummy023 D R p))
(SemanticCore.Class.cv (nb091AlphaDummy024 D R p))).fv
theorem
NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb091_support_mem_0021
(D R : SemanticCore.Class)
(p : SemanticCore.Var)
:
nb091AlphaDummy023 D R p ∈ (SemanticCore.Class.cv (nb091AlphaDummy023 D R p)).fv ∪ (SemanticCore.Class.cv (nb091AlphaDummy024 D R p)).fv
theorem
NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb091_support_mem_0022
(D R : SemanticCore.Class)
:
nb091AlphaDummy021 D R ∈ (Compiler.CompactSourceSyntax.synCnin (SemanticCore.Class.cv (nb091AlphaDummy020 D R))
(SemanticCore.Class.cv (nb091AlphaDummy021 D R))).fv ∪ (Compiler.CompactSourceSyntax.synCnin (SemanticCore.Class.cv (nb091AlphaDummy020 D R))
(SemanticCore.Class.cv (nb091AlphaDummy021 D R))).fv
theorem
NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb091_support_mem_0023
(D R : SemanticCore.Class)
(p : SemanticCore.Var)
:
nb091AlphaDummy024 D R p ∈ (Compiler.CompactSourceSyntax.synCnin (SemanticCore.Class.cv (nb091AlphaDummy023 D R p))
(SemanticCore.Class.cv (nb091AlphaDummy024 D R p))).fv ∪ (Compiler.CompactSourceSyntax.synCnin (SemanticCore.Class.cv (nb091AlphaDummy023 D R p))
(SemanticCore.Class.cv (nb091AlphaDummy024 D R p))).fv
theorem
NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb091_support_mem_0025
(D R : SemanticCore.Class)
(p : SemanticCore.Var)
:
nb091AlphaDummy024 D R p ∈ (SemanticCore.Class.cv (nb091AlphaDummy023 D R p)).fv ∪ (SemanticCore.Class.cv (nb091AlphaDummy024 D R p)).fv
theorem
NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb091_support_mem_0029
(D R : SemanticCore.Class)
(p : SemanticCore.Var)
:
nb091AlphaDummy023 D R p ∈ (SemanticCore.Class.cv (nb091AlphaDummy023 D R p)).fv ∪ (SemanticCore.Class.cv (nb091AlphaDummy023 D R p)).fv
theorem
NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb091_support_mem_0033
(D R : SemanticCore.Class)
(p : SemanticCore.Var)
:
nb091AlphaDummy024 D R p ∈ (SemanticCore.Class.cv (nb091AlphaDummy024 D R p)).fv ∪ (SemanticCore.Class.cv (nb091AlphaDummy024 D R p)).fv
theorem
NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb091_support_mem_0035
(D R : SemanticCore.Class)
:
nb091AlphaDummy001 D R ∈ (Compiler.CompactSourceSyntax.synCcompl
(SemanticCore.Class.cab (nb091AlphaDummy005 D R)
(Compiler.CompactSourceSyntax.synWrex (nb091AlphaDummy006 D R)
(SemanticCore.Class.cv (nb091AlphaDummy000 D R))
(SemanticCore.Wff.classEq (SemanticCore.Class.cv (nb091AlphaDummy005 D R))
(Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv (nb091AlphaDummy006 D R))))))).fv ∪ (Compiler.CompactSourceSyntax.synCcompl
(SemanticCore.Class.cab (nb091AlphaDummy005 D R)
(Compiler.CompactSourceSyntax.synWrex (nb091AlphaDummy006 D R)
(SemanticCore.Class.cv (nb091AlphaDummy001 D R))
(SemanticCore.Wff.classEq (SemanticCore.Class.cv (nb091AlphaDummy005 D R))
(Compiler.CompactSourceSyntax.synCun
(Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv (nb091AlphaDummy006 D R)))
(Compiler.CompactSourceSyntax.synCsn Compiler.CompactSourceSyntax.synC0c)))))).fv
theorem
NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb091_support_mem_0036
(D R : SemanticCore.Class)
(p : SemanticCore.Var)
:
nb091AlphaDummy002 D R p ∈ (SemanticCore.Class.cv p).fv ∪ (SemanticCore.Class.cv (nb091AlphaDummy002 D R p)).fv
theorem
NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb091_support_mem_0037
(D R : SemanticCore.Class)
(p : SemanticCore.Var)
:
nb091AlphaDummy002 D R p ∈ (Compiler.CompactSourceSyntax.synCcompl
(SemanticCore.Class.cab (nb091AlphaDummy007 D R p)
(Compiler.CompactSourceSyntax.synWrex (nb091AlphaDummy008 D R p) (SemanticCore.Class.cv p)
(SemanticCore.Wff.classEq (SemanticCore.Class.cv (nb091AlphaDummy007 D R p))
(Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv (nb091AlphaDummy008 D R p))))))).fv ∪ (Compiler.CompactSourceSyntax.synCcompl
(SemanticCore.Class.cab (nb091AlphaDummy007 D R p)
(Compiler.CompactSourceSyntax.synWrex (nb091AlphaDummy008 D R p)
(SemanticCore.Class.cv (nb091AlphaDummy002 D R p))
(SemanticCore.Wff.classEq (SemanticCore.Class.cv (nb091AlphaDummy007 D R p))
(Compiler.CompactSourceSyntax.synCun
(Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv (nb091AlphaDummy008 D R p)))
(Compiler.CompactSourceSyntax.synCsn Compiler.CompactSourceSyntax.synC0c)))))).fv
theorem
NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb091_support_mem_0038
(D R : SemanticCore.Class)
:
nb091AlphaDummy001 D R ∈ (SemanticCore.Class.cab (nb091AlphaDummy005 D R)
(Compiler.CompactSourceSyntax.synWrex (nb091AlphaDummy006 D R) (SemanticCore.Class.cv (nb091AlphaDummy001 D R))
(SemanticCore.Wff.classEq (SemanticCore.Class.cv (nb091AlphaDummy005 D R))
(Compiler.CompactSourceSyntax.synCun
(Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv (nb091AlphaDummy006 D R)))
(Compiler.CompactSourceSyntax.synCsn Compiler.CompactSourceSyntax.synC0c))))).fv ∪ (SemanticCore.Class.cab (nb091AlphaDummy005 D R)
(Compiler.CompactSourceSyntax.synWrex (nb091AlphaDummy006 D R) (SemanticCore.Class.cv (nb091AlphaDummy001 D R))
(SemanticCore.Wff.classEq (SemanticCore.Class.cv (nb091AlphaDummy005 D R))
(Compiler.CompactSourceSyntax.synCun
(Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv (nb091AlphaDummy006 D R)))
(Compiler.CompactSourceSyntax.synCsn Compiler.CompactSourceSyntax.synC0c))))).fv
theorem
NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb091_support_mem_0039
(D R : SemanticCore.Class)
(p : SemanticCore.Var)
:
nb091AlphaDummy002 D R p ∈ (SemanticCore.Class.cab (nb091AlphaDummy007 D R p)
(Compiler.CompactSourceSyntax.synWrex (nb091AlphaDummy008 D R p)
(SemanticCore.Class.cv (nb091AlphaDummy002 D R p))
(SemanticCore.Wff.classEq (SemanticCore.Class.cv (nb091AlphaDummy007 D R p))
(Compiler.CompactSourceSyntax.synCun
(Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv (nb091AlphaDummy008 D R p)))
(Compiler.CompactSourceSyntax.synCsn Compiler.CompactSourceSyntax.synC0c))))).fv ∪ (SemanticCore.Class.cab (nb091AlphaDummy007 D R p)
(Compiler.CompactSourceSyntax.synWrex (nb091AlphaDummy008 D R p)
(SemanticCore.Class.cv (nb091AlphaDummy002 D R p))
(SemanticCore.Wff.classEq (SemanticCore.Class.cv (nb091AlphaDummy007 D R p))
(Compiler.CompactSourceSyntax.synCun
(Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv (nb091AlphaDummy008 D R p)))
(Compiler.CompactSourceSyntax.synCsn Compiler.CompactSourceSyntax.synC0c))))).fv
theorem
NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb091_support_mem_0044
(D R : SemanticCore.Class)
:
nb091AlphaDummy059 D R ∈ {nb091AlphaDummy059 D R} ∪ {nb091AlphaDummy060 D R} ∪ (Compiler.CompactSourceSyntax.synWa
(SemanticCore.Wff.classMem (SemanticCore.Class.cv (nb091AlphaDummy059 D R))
(Compiler.CompactSourceSyntax.synCin D
(Compiler.CompactSourceSyntax.synCima
(Compiler.CompactSourceSyntax.synCcnv
(Compiler.CompactSourceSyntax.synCdif R Compiler.CompactSourceSyntax.synCid))
(Compiler.CompactSourceSyntax.synCsn
(Compiler.CompactSourceSyntax.synCuni
(Compiler.CompactSourceSyntax.synCuni (SemanticCore.Class.cv (nb091AlphaDummy000 D R))))))))
(SemanticCore.Wff.classMem (SemanticCore.Class.cv (nb091AlphaDummy060 D R))
(Compiler.CompactSourceSyntax.synCin D
(Compiler.CompactSourceSyntax.synCima
(Compiler.CompactSourceSyntax.synCcnv
(Compiler.CompactSourceSyntax.synCdif R Compiler.CompactSourceSyntax.synCid))
(Compiler.CompactSourceSyntax.synCsn
(Compiler.CompactSourceSyntax.synCuni
(Compiler.CompactSourceSyntax.synCuni (SemanticCore.Class.cv (nb091AlphaDummy000 D R))))))))).fv
theorem
NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb091_support_mem_0045
(D R : SemanticCore.Class)
(p : SemanticCore.Var)
:
nb091AlphaDummy061 D R p ∈ {nb091AlphaDummy061 D R p} ∪ {nb091AlphaDummy062 D R p} ∪ (Compiler.CompactSourceSyntax.synWa
(SemanticCore.Wff.classMem (SemanticCore.Class.cv (nb091AlphaDummy061 D R p))
(Compiler.CompactSourceSyntax.synCin D
(Compiler.CompactSourceSyntax.synCima
(Compiler.CompactSourceSyntax.synCcnv
(Compiler.CompactSourceSyntax.synCdif R Compiler.CompactSourceSyntax.synCid))
(Compiler.CompactSourceSyntax.synCsn
(Compiler.CompactSourceSyntax.synCuni
(Compiler.CompactSourceSyntax.synCuni (SemanticCore.Class.cv p)))))))
(SemanticCore.Wff.classMem (SemanticCore.Class.cv (nb091AlphaDummy062 D R p))
(Compiler.CompactSourceSyntax.synCin D
(Compiler.CompactSourceSyntax.synCima
(Compiler.CompactSourceSyntax.synCcnv
(Compiler.CompactSourceSyntax.synCdif R Compiler.CompactSourceSyntax.synCid))
(Compiler.CompactSourceSyntax.synCsn
(Compiler.CompactSourceSyntax.synCuni
(Compiler.CompactSourceSyntax.synCuni (SemanticCore.Class.cv p)))))))).fv
theorem
NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb091_support_mem_0046
(D R : SemanticCore.Class)
:
nb091AlphaDummy060 D R ∈ {nb091AlphaDummy059 D R} ∪ {nb091AlphaDummy060 D R} ∪ (Compiler.CompactSourceSyntax.synWa
(SemanticCore.Wff.classMem (SemanticCore.Class.cv (nb091AlphaDummy059 D R))
(Compiler.CompactSourceSyntax.synCin D
(Compiler.CompactSourceSyntax.synCima
(Compiler.CompactSourceSyntax.synCcnv
(Compiler.CompactSourceSyntax.synCdif R Compiler.CompactSourceSyntax.synCid))
(Compiler.CompactSourceSyntax.synCsn
(Compiler.CompactSourceSyntax.synCuni
(Compiler.CompactSourceSyntax.synCuni (SemanticCore.Class.cv (nb091AlphaDummy000 D R))))))))
(SemanticCore.Wff.classMem (SemanticCore.Class.cv (nb091AlphaDummy060 D R))
(Compiler.CompactSourceSyntax.synCin D
(Compiler.CompactSourceSyntax.synCima
(Compiler.CompactSourceSyntax.synCcnv
(Compiler.CompactSourceSyntax.synCdif R Compiler.CompactSourceSyntax.synCid))
(Compiler.CompactSourceSyntax.synCsn
(Compiler.CompactSourceSyntax.synCuni
(Compiler.CompactSourceSyntax.synCuni (SemanticCore.Class.cv (nb091AlphaDummy000 D R))))))))).fv
theorem
NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb091_support_mem_0047
(D R : SemanticCore.Class)
(p : SemanticCore.Var)
:
nb091AlphaDummy062 D R p ∈ {nb091AlphaDummy061 D R p} ∪ {nb091AlphaDummy062 D R p} ∪ (Compiler.CompactSourceSyntax.synWa
(SemanticCore.Wff.classMem (SemanticCore.Class.cv (nb091AlphaDummy061 D R p))
(Compiler.CompactSourceSyntax.synCin D
(Compiler.CompactSourceSyntax.synCima
(Compiler.CompactSourceSyntax.synCcnv
(Compiler.CompactSourceSyntax.synCdif R Compiler.CompactSourceSyntax.synCid))
(Compiler.CompactSourceSyntax.synCsn
(Compiler.CompactSourceSyntax.synCuni
(Compiler.CompactSourceSyntax.synCuni (SemanticCore.Class.cv p)))))))
(SemanticCore.Wff.classMem (SemanticCore.Class.cv (nb091AlphaDummy062 D R p))
(Compiler.CompactSourceSyntax.synCin D
(Compiler.CompactSourceSyntax.synCima
(Compiler.CompactSourceSyntax.synCcnv
(Compiler.CompactSourceSyntax.synCdif R Compiler.CompactSourceSyntax.synCid))
(Compiler.CompactSourceSyntax.synCsn
(Compiler.CompactSourceSyntax.synCuni
(Compiler.CompactSourceSyntax.synCuni (SemanticCore.Class.cv p)))))))).fv
theorem
NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb091_support_mem_0049
(D R : SemanticCore.Class)
:
nb091AlphaDummy059 D R ∈ (Compiler.CompactSourceSyntax.synCcompl
(SemanticCore.Class.cab (nb091AlphaDummy065 D R)
(Compiler.CompactSourceSyntax.synWrex (nb091AlphaDummy066 D R)
(SemanticCore.Class.cv (nb091AlphaDummy059 D R))
(SemanticCore.Wff.classEq (SemanticCore.Class.cv (nb091AlphaDummy065 D R))
(Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv (nb091AlphaDummy066 D R))))))).fv ∪ (Compiler.CompactSourceSyntax.synCcompl
(SemanticCore.Class.cab (nb091AlphaDummy065 D R)
(Compiler.CompactSourceSyntax.synWrex (nb091AlphaDummy066 D R)
(SemanticCore.Class.cv (nb091AlphaDummy060 D R))
(SemanticCore.Wff.classEq (SemanticCore.Class.cv (nb091AlphaDummy065 D R))
(Compiler.CompactSourceSyntax.synCun
(Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv (nb091AlphaDummy066 D R)))
(Compiler.CompactSourceSyntax.synCsn Compiler.CompactSourceSyntax.synC0c)))))).fv
theorem
NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb091_support_mem_0050
(D R : SemanticCore.Class)
(p : SemanticCore.Var)
:
nb091AlphaDummy061 D R p ∈ (SemanticCore.Class.cv (nb091AlphaDummy061 D R p)).fv ∪ (SemanticCore.Class.cv (nb091AlphaDummy062 D R p)).fv
theorem
NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb091_support_mem_0051
(D R : SemanticCore.Class)
(p : SemanticCore.Var)
:
nb091AlphaDummy061 D R p ∈ (Compiler.CompactSourceSyntax.synCcompl
(SemanticCore.Class.cab (nb091AlphaDummy067 D R p)
(Compiler.CompactSourceSyntax.synWrex (nb091AlphaDummy068 D R p)
(SemanticCore.Class.cv (nb091AlphaDummy061 D R p))
(SemanticCore.Wff.classEq (SemanticCore.Class.cv (nb091AlphaDummy067 D R p))
(Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv (nb091AlphaDummy068 D R p))))))).fv ∪ (Compiler.CompactSourceSyntax.synCcompl
(SemanticCore.Class.cab (nb091AlphaDummy067 D R p)
(Compiler.CompactSourceSyntax.synWrex (nb091AlphaDummy068 D R p)
(SemanticCore.Class.cv (nb091AlphaDummy062 D R p))
(SemanticCore.Wff.classEq (SemanticCore.Class.cv (nb091AlphaDummy067 D R p))
(Compiler.CompactSourceSyntax.synCun
(Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv (nb091AlphaDummy068 D R p)))
(Compiler.CompactSourceSyntax.synCsn Compiler.CompactSourceSyntax.synC0c)))))).fv
theorem
NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb091_support_mem_0052
(D R : SemanticCore.Class)
:
nb091AlphaDummy059 D R ∈ (SemanticCore.Class.cab (nb091AlphaDummy065 D R)
(Compiler.CompactSourceSyntax.synWrex (nb091AlphaDummy066 D R) (SemanticCore.Class.cv (nb091AlphaDummy059 D R))
(SemanticCore.Wff.classEq (SemanticCore.Class.cv (nb091AlphaDummy065 D R))
(Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv (nb091AlphaDummy066 D R)))))).fv ∪ (SemanticCore.Class.cab (nb091AlphaDummy065 D R)
(Compiler.CompactSourceSyntax.synWrex (nb091AlphaDummy066 D R) (SemanticCore.Class.cv (nb091AlphaDummy059 D R))
(SemanticCore.Wff.classEq (SemanticCore.Class.cv (nb091AlphaDummy065 D R))
(Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv (nb091AlphaDummy066 D R)))))).fv
theorem
NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb091_support_mem_0053
(D R : SemanticCore.Class)
(p : SemanticCore.Var)
:
nb091AlphaDummy061 D R p ∈ (SemanticCore.Class.cab (nb091AlphaDummy067 D R p)
(Compiler.CompactSourceSyntax.synWrex (nb091AlphaDummy068 D R p)
(SemanticCore.Class.cv (nb091AlphaDummy061 D R p))
(SemanticCore.Wff.classEq (SemanticCore.Class.cv (nb091AlphaDummy067 D R p))
(Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv (nb091AlphaDummy068 D R p)))))).fv ∪ (SemanticCore.Class.cab (nb091AlphaDummy067 D R p)
(Compiler.CompactSourceSyntax.synWrex (nb091AlphaDummy068 D R p)
(SemanticCore.Class.cv (nb091AlphaDummy061 D R p))
(SemanticCore.Wff.classEq (SemanticCore.Class.cv (nb091AlphaDummy067 D R p))
(Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv (nb091AlphaDummy068 D R p)))))).fv
theorem
NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb091_support_mem_0056
(D R : SemanticCore.Class)
:
nb091AlphaDummy073 D R ∈ (SemanticCore.Wff.classMem (SemanticCore.Class.cv (nb091AlphaDummy073 D R)) Compiler.CompactSourceSyntax.synCnnc).fv ∪ (Compiler.CompactSourceSyntax.synCplc (SemanticCore.Class.cv (nb091AlphaDummy073 D R))
Compiler.CompactSourceSyntax.synC1c).fv ∪ (SemanticCore.Class.cv (nb091AlphaDummy073 D R)).fv
theorem
NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb091_support_mem_0057
(D R : SemanticCore.Class)
(p : SemanticCore.Var)
:
nb091AlphaDummy075 D R p ∈ (SemanticCore.Wff.classMem (SemanticCore.Class.cv (nb091AlphaDummy075 D R p))
Compiler.CompactSourceSyntax.synCnnc).fv ∪ (Compiler.CompactSourceSyntax.synCplc (SemanticCore.Class.cv (nb091AlphaDummy075 D R p))
Compiler.CompactSourceSyntax.synC1c).fv ∪ (SemanticCore.Class.cv (nb091AlphaDummy075 D R p)).fv
theorem
NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb091_support_mem_0060
(D R : SemanticCore.Class)
:
nb091AlphaDummy080 D R ∈ (Compiler.CompactSourceSyntax.synCnin (SemanticCore.Class.cv (nb091AlphaDummy080 D R))
(SemanticCore.Class.cv (nb091AlphaDummy081 D R))).fv ∪ (Compiler.CompactSourceSyntax.synCnin (SemanticCore.Class.cv (nb091AlphaDummy080 D R))
(SemanticCore.Class.cv (nb091AlphaDummy081 D R))).fv
theorem
NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb091_support_mem_0061
(D R : SemanticCore.Class)
(p : SemanticCore.Var)
:
nb091AlphaDummy083 D R p ∈ (Compiler.CompactSourceSyntax.synCnin (SemanticCore.Class.cv (nb091AlphaDummy083 D R p))
(SemanticCore.Class.cv (nb091AlphaDummy084 D R p))).fv ∪ (Compiler.CompactSourceSyntax.synCnin (SemanticCore.Class.cv (nb091AlphaDummy083 D R p))
(SemanticCore.Class.cv (nb091AlphaDummy084 D R p))).fv
theorem
NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb091_support_mem_0063
(D R : SemanticCore.Class)
(p : SemanticCore.Var)
:
nb091AlphaDummy083 D R p ∈ (SemanticCore.Class.cv (nb091AlphaDummy083 D R p)).fv ∪ (SemanticCore.Class.cv (nb091AlphaDummy084 D R p)).fv
theorem
NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb091_support_mem_0064
(D R : SemanticCore.Class)
:
nb091AlphaDummy081 D R ∈ (Compiler.CompactSourceSyntax.synCnin (SemanticCore.Class.cv (nb091AlphaDummy080 D R))
(SemanticCore.Class.cv (nb091AlphaDummy081 D R))).fv ∪ (Compiler.CompactSourceSyntax.synCnin (SemanticCore.Class.cv (nb091AlphaDummy080 D R))
(SemanticCore.Class.cv (nb091AlphaDummy081 D R))).fv
theorem
NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb091_support_mem_0065
(D R : SemanticCore.Class)
(p : SemanticCore.Var)
:
nb091AlphaDummy084 D R p ∈ (Compiler.CompactSourceSyntax.synCnin (SemanticCore.Class.cv (nb091AlphaDummy083 D R p))
(SemanticCore.Class.cv (nb091AlphaDummy084 D R p))).fv ∪ (Compiler.CompactSourceSyntax.synCnin (SemanticCore.Class.cv (nb091AlphaDummy083 D R p))
(SemanticCore.Class.cv (nb091AlphaDummy084 D R p))).fv
theorem
NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb091_support_mem_0067
(D R : SemanticCore.Class)
(p : SemanticCore.Var)
:
nb091AlphaDummy084 D R p ∈ (SemanticCore.Class.cv (nb091AlphaDummy083 D R p)).fv ∪ (SemanticCore.Class.cv (nb091AlphaDummy084 D R p)).fv
theorem
NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb091_support_mem_0071
(D R : SemanticCore.Class)
(p : SemanticCore.Var)
:
nb091AlphaDummy083 D R p ∈ (SemanticCore.Class.cv (nb091AlphaDummy083 D R p)).fv ∪ (SemanticCore.Class.cv (nb091AlphaDummy083 D R p)).fv
theorem
NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb091_support_mem_0075
(D R : SemanticCore.Class)
(p : SemanticCore.Var)
:
nb091AlphaDummy084 D R p ∈ (SemanticCore.Class.cv (nb091AlphaDummy084 D R p)).fv ∪ (SemanticCore.Class.cv (nb091AlphaDummy084 D R p)).fv
theorem
NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb091_support_mem_0077
(D R : SemanticCore.Class)
:
nb091AlphaDummy060 D R ∈ (Compiler.CompactSourceSyntax.synCcompl
(SemanticCore.Class.cab (nb091AlphaDummy065 D R)
(Compiler.CompactSourceSyntax.synWrex (nb091AlphaDummy066 D R)
(SemanticCore.Class.cv (nb091AlphaDummy059 D R))
(SemanticCore.Wff.classEq (SemanticCore.Class.cv (nb091AlphaDummy065 D R))
(Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv (nb091AlphaDummy066 D R))))))).fv ∪ (Compiler.CompactSourceSyntax.synCcompl
(SemanticCore.Class.cab (nb091AlphaDummy065 D R)
(Compiler.CompactSourceSyntax.synWrex (nb091AlphaDummy066 D R)
(SemanticCore.Class.cv (nb091AlphaDummy060 D R))
(SemanticCore.Wff.classEq (SemanticCore.Class.cv (nb091AlphaDummy065 D R))
(Compiler.CompactSourceSyntax.synCun
(Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv (nb091AlphaDummy066 D R)))
(Compiler.CompactSourceSyntax.synCsn Compiler.CompactSourceSyntax.synC0c)))))).fv
theorem
NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb091_support_mem_0078
(D R : SemanticCore.Class)
(p : SemanticCore.Var)
:
nb091AlphaDummy062 D R p ∈ (SemanticCore.Class.cv (nb091AlphaDummy061 D R p)).fv ∪ (SemanticCore.Class.cv (nb091AlphaDummy062 D R p)).fv
theorem
NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb091_support_mem_0079
(D R : SemanticCore.Class)
(p : SemanticCore.Var)
:
nb091AlphaDummy062 D R p ∈ (Compiler.CompactSourceSyntax.synCcompl
(SemanticCore.Class.cab (nb091AlphaDummy067 D R p)
(Compiler.CompactSourceSyntax.synWrex (nb091AlphaDummy068 D R p)
(SemanticCore.Class.cv (nb091AlphaDummy061 D R p))
(SemanticCore.Wff.classEq (SemanticCore.Class.cv (nb091AlphaDummy067 D R p))
(Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv (nb091AlphaDummy068 D R p))))))).fv ∪ (Compiler.CompactSourceSyntax.synCcompl
(SemanticCore.Class.cab (nb091AlphaDummy067 D R p)
(Compiler.CompactSourceSyntax.synWrex (nb091AlphaDummy068 D R p)
(SemanticCore.Class.cv (nb091AlphaDummy062 D R p))
(SemanticCore.Wff.classEq (SemanticCore.Class.cv (nb091AlphaDummy067 D R p))
(Compiler.CompactSourceSyntax.synCun
(Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv (nb091AlphaDummy068 D R p)))
(Compiler.CompactSourceSyntax.synCsn Compiler.CompactSourceSyntax.synC0c)))))).fv
theorem
NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb091_support_mem_0080
(D R : SemanticCore.Class)
:
nb091AlphaDummy060 D R ∈ (SemanticCore.Class.cab (nb091AlphaDummy065 D R)
(Compiler.CompactSourceSyntax.synWrex (nb091AlphaDummy066 D R) (SemanticCore.Class.cv (nb091AlphaDummy060 D R))
(SemanticCore.Wff.classEq (SemanticCore.Class.cv (nb091AlphaDummy065 D R))
(Compiler.CompactSourceSyntax.synCun
(Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv (nb091AlphaDummy066 D R)))
(Compiler.CompactSourceSyntax.synCsn Compiler.CompactSourceSyntax.synC0c))))).fv ∪ (SemanticCore.Class.cab (nb091AlphaDummy065 D R)
(Compiler.CompactSourceSyntax.synWrex (nb091AlphaDummy066 D R) (SemanticCore.Class.cv (nb091AlphaDummy060 D R))
(SemanticCore.Wff.classEq (SemanticCore.Class.cv (nb091AlphaDummy065 D R))
(Compiler.CompactSourceSyntax.synCun
(Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv (nb091AlphaDummy066 D R)))
(Compiler.CompactSourceSyntax.synCsn Compiler.CompactSourceSyntax.synC0c))))).fv
theorem
NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb091_support_mem_0081
(D R : SemanticCore.Class)
(p : SemanticCore.Var)
:
nb091AlphaDummy062 D R p ∈ (SemanticCore.Class.cab (nb091AlphaDummy067 D R p)
(Compiler.CompactSourceSyntax.synWrex (nb091AlphaDummy068 D R p)
(SemanticCore.Class.cv (nb091AlphaDummy062 D R p))
(SemanticCore.Wff.classEq (SemanticCore.Class.cv (nb091AlphaDummy067 D R p))
(Compiler.CompactSourceSyntax.synCun
(Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv (nb091AlphaDummy068 D R p)))
(Compiler.CompactSourceSyntax.synCsn Compiler.CompactSourceSyntax.synC0c))))).fv ∪ (SemanticCore.Class.cab (nb091AlphaDummy067 D R p)
(Compiler.CompactSourceSyntax.synWrex (nb091AlphaDummy068 D R p)
(SemanticCore.Class.cv (nb091AlphaDummy062 D R p))
(SemanticCore.Wff.classEq (SemanticCore.Class.cv (nb091AlphaDummy067 D R p))
(Compiler.CompactSourceSyntax.synCun
(Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv (nb091AlphaDummy068 D R p)))
(Compiler.CompactSourceSyntax.synCsn Compiler.CompactSourceSyntax.synC0c))))).fv
theorem
NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb091_support_mem_0090
(D R : SemanticCore.Class)
:
nb091AlphaDummy000 D R ∈ (Compiler.CompactSourceSyntax.synCin R
(Compiler.CompactSourceSyntax.synCxp
(Compiler.CompactSourceSyntax.synCin D
(Compiler.CompactSourceSyntax.synCima
(Compiler.CompactSourceSyntax.synCcnv
(Compiler.CompactSourceSyntax.synCdif R Compiler.CompactSourceSyntax.synCid))
(Compiler.CompactSourceSyntax.synCsn
(Compiler.CompactSourceSyntax.synCuni
(Compiler.CompactSourceSyntax.synCuni (SemanticCore.Class.cv (nb091AlphaDummy000 D R)))))))
(Compiler.CompactSourceSyntax.synCin D
(Compiler.CompactSourceSyntax.synCima
(Compiler.CompactSourceSyntax.synCcnv
(Compiler.CompactSourceSyntax.synCdif R Compiler.CompactSourceSyntax.synCid))
(Compiler.CompactSourceSyntax.synCsn
(Compiler.CompactSourceSyntax.synCuni
(Compiler.CompactSourceSyntax.synCuni (SemanticCore.Class.cv (nb091AlphaDummy000 D R))))))))).fv ∪ (Compiler.CompactSourceSyntax.synCin D
(Compiler.CompactSourceSyntax.synCima
(Compiler.CompactSourceSyntax.synCcnv
(Compiler.CompactSourceSyntax.synCdif R Compiler.CompactSourceSyntax.synCid))
(Compiler.CompactSourceSyntax.synCsn
(Compiler.CompactSourceSyntax.synCuni
(Compiler.CompactSourceSyntax.synCuni (SemanticCore.Class.cv (nb091AlphaDummy000 D R))))))).fv
theorem
NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb091_support_mem_0091
(D R : SemanticCore.Class)
:
nb091AlphaDummy000 D R ∈ (Compiler.CompactSourceSyntax.synCcompl
(SemanticCore.Class.cab (nb091AlphaDummy047 D R)
(Compiler.CompactSourceSyntax.synWrex (nb091AlphaDummy048 D R)
(Compiler.CompactSourceSyntax.synCin R
(Compiler.CompactSourceSyntax.synCxp
(Compiler.CompactSourceSyntax.synCin D
(Compiler.CompactSourceSyntax.synCima
(Compiler.CompactSourceSyntax.synCcnv
(Compiler.CompactSourceSyntax.synCdif R Compiler.CompactSourceSyntax.synCid))
(Compiler.CompactSourceSyntax.synCsn
(Compiler.CompactSourceSyntax.synCuni
(Compiler.CompactSourceSyntax.synCuni (SemanticCore.Class.cv (nb091AlphaDummy000 D R)))))))
(Compiler.CompactSourceSyntax.synCin D
(Compiler.CompactSourceSyntax.synCima
(Compiler.CompactSourceSyntax.synCcnv
(Compiler.CompactSourceSyntax.synCdif R Compiler.CompactSourceSyntax.synCid))
(Compiler.CompactSourceSyntax.synCsn
(Compiler.CompactSourceSyntax.synCuni
(Compiler.CompactSourceSyntax.synCuni (SemanticCore.Class.cv (nb091AlphaDummy000 D R)))))))))
(SemanticCore.Wff.classEq (SemanticCore.Class.cv (nb091AlphaDummy047 D R))
(Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv (nb091AlphaDummy048 D R))))))).fv ∪ (Compiler.CompactSourceSyntax.synCcompl
(SemanticCore.Class.cab (nb091AlphaDummy047 D R)
(Compiler.CompactSourceSyntax.synWrex (nb091AlphaDummy048 D R)
(Compiler.CompactSourceSyntax.synCin D
(Compiler.CompactSourceSyntax.synCima
(Compiler.CompactSourceSyntax.synCcnv
(Compiler.CompactSourceSyntax.synCdif R Compiler.CompactSourceSyntax.synCid))
(Compiler.CompactSourceSyntax.synCsn
(Compiler.CompactSourceSyntax.synCuni
(Compiler.CompactSourceSyntax.synCuni (SemanticCore.Class.cv (nb091AlphaDummy000 D R)))))))
(SemanticCore.Wff.classEq (SemanticCore.Class.cv (nb091AlphaDummy047 D R))
(Compiler.CompactSourceSyntax.synCun
(Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv (nb091AlphaDummy048 D R)))
(Compiler.CompactSourceSyntax.synCsn Compiler.CompactSourceSyntax.synC0c)))))).fv
theorem
NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb091_support_mem_0092
(D R : SemanticCore.Class)
(p : SemanticCore.Var)
:
p ∈ (Compiler.CompactSourceSyntax.synCin R
(Compiler.CompactSourceSyntax.synCxp
(Compiler.CompactSourceSyntax.synCin D
(Compiler.CompactSourceSyntax.synCima
(Compiler.CompactSourceSyntax.synCcnv
(Compiler.CompactSourceSyntax.synCdif R Compiler.CompactSourceSyntax.synCid))
(Compiler.CompactSourceSyntax.synCsn
(Compiler.CompactSourceSyntax.synCuni
(Compiler.CompactSourceSyntax.synCuni (SemanticCore.Class.cv p))))))
(Compiler.CompactSourceSyntax.synCin D
(Compiler.CompactSourceSyntax.synCima
(Compiler.CompactSourceSyntax.synCcnv
(Compiler.CompactSourceSyntax.synCdif R Compiler.CompactSourceSyntax.synCid))
(Compiler.CompactSourceSyntax.synCsn
(Compiler.CompactSourceSyntax.synCuni
(Compiler.CompactSourceSyntax.synCuni (SemanticCore.Class.cv p)))))))).fv ∪ (Compiler.CompactSourceSyntax.synCin D
(Compiler.CompactSourceSyntax.synCima
(Compiler.CompactSourceSyntax.synCcnv
(Compiler.CompactSourceSyntax.synCdif R Compiler.CompactSourceSyntax.synCid))
(Compiler.CompactSourceSyntax.synCsn
(Compiler.CompactSourceSyntax.synCuni
(Compiler.CompactSourceSyntax.synCuni (SemanticCore.Class.cv p)))))).fv
theorem
NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb091_support_mem_0093
(D R : SemanticCore.Class)
(p : SemanticCore.Var)
:
p ∈ (Compiler.CompactSourceSyntax.synCcompl
(SemanticCore.Class.cab (nb091AlphaDummy049 D R p)
(Compiler.CompactSourceSyntax.synWrex (nb091AlphaDummy050 D R p)
(Compiler.CompactSourceSyntax.synCin R
(Compiler.CompactSourceSyntax.synCxp
(Compiler.CompactSourceSyntax.synCin D
(Compiler.CompactSourceSyntax.synCima
(Compiler.CompactSourceSyntax.synCcnv
(Compiler.CompactSourceSyntax.synCdif R Compiler.CompactSourceSyntax.synCid))
(Compiler.CompactSourceSyntax.synCsn
(Compiler.CompactSourceSyntax.synCuni
(Compiler.CompactSourceSyntax.synCuni (SemanticCore.Class.cv p))))))
(Compiler.CompactSourceSyntax.synCin D
(Compiler.CompactSourceSyntax.synCima
(Compiler.CompactSourceSyntax.synCcnv
(Compiler.CompactSourceSyntax.synCdif R Compiler.CompactSourceSyntax.synCid))
(Compiler.CompactSourceSyntax.synCsn
(Compiler.CompactSourceSyntax.synCuni
(Compiler.CompactSourceSyntax.synCuni (SemanticCore.Class.cv p))))))))
(SemanticCore.Wff.classEq (SemanticCore.Class.cv (nb091AlphaDummy049 D R p))
(Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv (nb091AlphaDummy050 D R p))))))).fv ∪ (Compiler.CompactSourceSyntax.synCcompl
(SemanticCore.Class.cab (nb091AlphaDummy049 D R p)
(Compiler.CompactSourceSyntax.synWrex (nb091AlphaDummy050 D R p)
(Compiler.CompactSourceSyntax.synCin D
(Compiler.CompactSourceSyntax.synCima
(Compiler.CompactSourceSyntax.synCcnv
(Compiler.CompactSourceSyntax.synCdif R Compiler.CompactSourceSyntax.synCid))
(Compiler.CompactSourceSyntax.synCsn
(Compiler.CompactSourceSyntax.synCuni
(Compiler.CompactSourceSyntax.synCuni (SemanticCore.Class.cv p))))))
(SemanticCore.Wff.classEq (SemanticCore.Class.cv (nb091AlphaDummy049 D R p))
(Compiler.CompactSourceSyntax.synCun
(Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv (nb091AlphaDummy050 D R p)))
(Compiler.CompactSourceSyntax.synCsn Compiler.CompactSourceSyntax.synC0c)))))).fv
theorem
NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb091_support_mem_0094
(D R : SemanticCore.Class)
:
nb091AlphaDummy000 D R ∈ (SemanticCore.Class.cab (nb091AlphaDummy047 D R)
(Compiler.CompactSourceSyntax.synWrex (nb091AlphaDummy048 D R)
(Compiler.CompactSourceSyntax.synCin R
(Compiler.CompactSourceSyntax.synCxp
(Compiler.CompactSourceSyntax.synCin D
(Compiler.CompactSourceSyntax.synCima
(Compiler.CompactSourceSyntax.synCcnv
(Compiler.CompactSourceSyntax.synCdif R Compiler.CompactSourceSyntax.synCid))
(Compiler.CompactSourceSyntax.synCsn
(Compiler.CompactSourceSyntax.synCuni
(Compiler.CompactSourceSyntax.synCuni (SemanticCore.Class.cv (nb091AlphaDummy000 D R)))))))
(Compiler.CompactSourceSyntax.synCin D
(Compiler.CompactSourceSyntax.synCima
(Compiler.CompactSourceSyntax.synCcnv
(Compiler.CompactSourceSyntax.synCdif R Compiler.CompactSourceSyntax.synCid))
(Compiler.CompactSourceSyntax.synCsn
(Compiler.CompactSourceSyntax.synCuni
(Compiler.CompactSourceSyntax.synCuni (SemanticCore.Class.cv (nb091AlphaDummy000 D R)))))))))
(SemanticCore.Wff.classEq (SemanticCore.Class.cv (nb091AlphaDummy047 D R))
(Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv (nb091AlphaDummy048 D R)))))).fv ∪ (SemanticCore.Class.cab (nb091AlphaDummy047 D R)
(Compiler.CompactSourceSyntax.synWrex (nb091AlphaDummy048 D R)
(Compiler.CompactSourceSyntax.synCin R
(Compiler.CompactSourceSyntax.synCxp
(Compiler.CompactSourceSyntax.synCin D
(Compiler.CompactSourceSyntax.synCima
(Compiler.CompactSourceSyntax.synCcnv
(Compiler.CompactSourceSyntax.synCdif R Compiler.CompactSourceSyntax.synCid))
(Compiler.CompactSourceSyntax.synCsn
(Compiler.CompactSourceSyntax.synCuni
(Compiler.CompactSourceSyntax.synCuni (SemanticCore.Class.cv (nb091AlphaDummy000 D R)))))))
(Compiler.CompactSourceSyntax.synCin D
(Compiler.CompactSourceSyntax.synCima
(Compiler.CompactSourceSyntax.synCcnv
(Compiler.CompactSourceSyntax.synCdif R Compiler.CompactSourceSyntax.synCid))
(Compiler.CompactSourceSyntax.synCsn
(Compiler.CompactSourceSyntax.synCuni
(Compiler.CompactSourceSyntax.synCuni (SemanticCore.Class.cv (nb091AlphaDummy000 D R)))))))))
(SemanticCore.Wff.classEq (SemanticCore.Class.cv (nb091AlphaDummy047 D R))
(Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv (nb091AlphaDummy048 D R)))))).fv
theorem
NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb091_support_mem_0095
(D R : SemanticCore.Class)
(p : SemanticCore.Var)
:
p ∈ (SemanticCore.Class.cab (nb091AlphaDummy049 D R p)
(Compiler.CompactSourceSyntax.synWrex (nb091AlphaDummy050 D R p)
(Compiler.CompactSourceSyntax.synCin R
(Compiler.CompactSourceSyntax.synCxp
(Compiler.CompactSourceSyntax.synCin D
(Compiler.CompactSourceSyntax.synCima
(Compiler.CompactSourceSyntax.synCcnv
(Compiler.CompactSourceSyntax.synCdif R Compiler.CompactSourceSyntax.synCid))
(Compiler.CompactSourceSyntax.synCsn
(Compiler.CompactSourceSyntax.synCuni
(Compiler.CompactSourceSyntax.synCuni (SemanticCore.Class.cv p))))))
(Compiler.CompactSourceSyntax.synCin D
(Compiler.CompactSourceSyntax.synCima
(Compiler.CompactSourceSyntax.synCcnv
(Compiler.CompactSourceSyntax.synCdif R Compiler.CompactSourceSyntax.synCid))
(Compiler.CompactSourceSyntax.synCsn
(Compiler.CompactSourceSyntax.synCuni
(Compiler.CompactSourceSyntax.synCuni (SemanticCore.Class.cv p))))))))
(SemanticCore.Wff.classEq (SemanticCore.Class.cv (nb091AlphaDummy049 D R p))
(Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv (nb091AlphaDummy050 D R p)))))).fv ∪ (SemanticCore.Class.cab (nb091AlphaDummy049 D R p)
(Compiler.CompactSourceSyntax.synWrex (nb091AlphaDummy050 D R p)
(Compiler.CompactSourceSyntax.synCin R
(Compiler.CompactSourceSyntax.synCxp
(Compiler.CompactSourceSyntax.synCin D
(Compiler.CompactSourceSyntax.synCima
(Compiler.CompactSourceSyntax.synCcnv
(Compiler.CompactSourceSyntax.synCdif R Compiler.CompactSourceSyntax.synCid))
(Compiler.CompactSourceSyntax.synCsn
(Compiler.CompactSourceSyntax.synCuni
(Compiler.CompactSourceSyntax.synCuni (SemanticCore.Class.cv p))))))
(Compiler.CompactSourceSyntax.synCin D
(Compiler.CompactSourceSyntax.synCima
(Compiler.CompactSourceSyntax.synCcnv
(Compiler.CompactSourceSyntax.synCdif R Compiler.CompactSourceSyntax.synCid))
(Compiler.CompactSourceSyntax.synCsn
(Compiler.CompactSourceSyntax.synCuni
(Compiler.CompactSourceSyntax.synCuni (SemanticCore.Class.cv p))))))))
(SemanticCore.Wff.classEq (SemanticCore.Class.cv (nb091AlphaDummy049 D R p))
(Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv (nb091AlphaDummy050 D R p)))))).fv
theorem
NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb091_support_mem_0096
(D R : SemanticCore.Class)
:
nb091AlphaDummy000 D R ∈ (Compiler.CompactSourceSyntax.synCnin R
(Compiler.CompactSourceSyntax.synCxp
(Compiler.CompactSourceSyntax.synCin D
(Compiler.CompactSourceSyntax.synCima
(Compiler.CompactSourceSyntax.synCcnv
(Compiler.CompactSourceSyntax.synCdif R Compiler.CompactSourceSyntax.synCid))
(Compiler.CompactSourceSyntax.synCsn
(Compiler.CompactSourceSyntax.synCuni
(Compiler.CompactSourceSyntax.synCuni (SemanticCore.Class.cv (nb091AlphaDummy000 D R)))))))
(Compiler.CompactSourceSyntax.synCin D
(Compiler.CompactSourceSyntax.synCima
(Compiler.CompactSourceSyntax.synCcnv
(Compiler.CompactSourceSyntax.synCdif R Compiler.CompactSourceSyntax.synCid))
(Compiler.CompactSourceSyntax.synCsn
(Compiler.CompactSourceSyntax.synCuni
(Compiler.CompactSourceSyntax.synCuni (SemanticCore.Class.cv (nb091AlphaDummy000 D R))))))))).fv ∪ (Compiler.CompactSourceSyntax.synCnin R
(Compiler.CompactSourceSyntax.synCxp
(Compiler.CompactSourceSyntax.synCin D
(Compiler.CompactSourceSyntax.synCima
(Compiler.CompactSourceSyntax.synCcnv
(Compiler.CompactSourceSyntax.synCdif R Compiler.CompactSourceSyntax.synCid))
(Compiler.CompactSourceSyntax.synCsn
(Compiler.CompactSourceSyntax.synCuni
(Compiler.CompactSourceSyntax.synCuni (SemanticCore.Class.cv (nb091AlphaDummy000 D R)))))))
(Compiler.CompactSourceSyntax.synCin D
(Compiler.CompactSourceSyntax.synCima
(Compiler.CompactSourceSyntax.synCcnv
(Compiler.CompactSourceSyntax.synCdif R Compiler.CompactSourceSyntax.synCid))
(Compiler.CompactSourceSyntax.synCsn
(Compiler.CompactSourceSyntax.synCuni
(Compiler.CompactSourceSyntax.synCuni (SemanticCore.Class.cv (nb091AlphaDummy000 D R))))))))).fv
theorem
NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb091_support_mem_0097
(D R : SemanticCore.Class)
(p : SemanticCore.Var)
:
p ∈ (Compiler.CompactSourceSyntax.synCnin R
(Compiler.CompactSourceSyntax.synCxp
(Compiler.CompactSourceSyntax.synCin D
(Compiler.CompactSourceSyntax.synCima
(Compiler.CompactSourceSyntax.synCcnv
(Compiler.CompactSourceSyntax.synCdif R Compiler.CompactSourceSyntax.synCid))
(Compiler.CompactSourceSyntax.synCsn
(Compiler.CompactSourceSyntax.synCuni
(Compiler.CompactSourceSyntax.synCuni (SemanticCore.Class.cv p))))))
(Compiler.CompactSourceSyntax.synCin D
(Compiler.CompactSourceSyntax.synCima
(Compiler.CompactSourceSyntax.synCcnv
(Compiler.CompactSourceSyntax.synCdif R Compiler.CompactSourceSyntax.synCid))
(Compiler.CompactSourceSyntax.synCsn
(Compiler.CompactSourceSyntax.synCuni
(Compiler.CompactSourceSyntax.synCuni (SemanticCore.Class.cv p)))))))).fv ∪ (Compiler.CompactSourceSyntax.synCnin R
(Compiler.CompactSourceSyntax.synCxp
(Compiler.CompactSourceSyntax.synCin D
(Compiler.CompactSourceSyntax.synCima
(Compiler.CompactSourceSyntax.synCcnv
(Compiler.CompactSourceSyntax.synCdif R Compiler.CompactSourceSyntax.synCid))
(Compiler.CompactSourceSyntax.synCsn
(Compiler.CompactSourceSyntax.synCuni
(Compiler.CompactSourceSyntax.synCuni (SemanticCore.Class.cv p))))))
(Compiler.CompactSourceSyntax.synCin D
(Compiler.CompactSourceSyntax.synCima
(Compiler.CompactSourceSyntax.synCcnv
(Compiler.CompactSourceSyntax.synCdif R Compiler.CompactSourceSyntax.synCid))
(Compiler.CompactSourceSyntax.synCsn
(Compiler.CompactSourceSyntax.synCuni
(Compiler.CompactSourceSyntax.synCuni (SemanticCore.Class.cv p)))))))).fv
theorem
NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb091_support_mem_0098
(D R : SemanticCore.Class)
:
nb091AlphaDummy000 D R ∈ R.fv ∪ (Compiler.CompactSourceSyntax.synCxp
(Compiler.CompactSourceSyntax.synCin D
(Compiler.CompactSourceSyntax.synCima
(Compiler.CompactSourceSyntax.synCcnv
(Compiler.CompactSourceSyntax.synCdif R Compiler.CompactSourceSyntax.synCid))
(Compiler.CompactSourceSyntax.synCsn
(Compiler.CompactSourceSyntax.synCuni
(Compiler.CompactSourceSyntax.synCuni (SemanticCore.Class.cv (nb091AlphaDummy000 D R)))))))
(Compiler.CompactSourceSyntax.synCin D
(Compiler.CompactSourceSyntax.synCima
(Compiler.CompactSourceSyntax.synCcnv
(Compiler.CompactSourceSyntax.synCdif R Compiler.CompactSourceSyntax.synCid))
(Compiler.CompactSourceSyntax.synCsn
(Compiler.CompactSourceSyntax.synCuni
(Compiler.CompactSourceSyntax.synCuni (SemanticCore.Class.cv (nb091AlphaDummy000 D R)))))))).fv
theorem
NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb091_support_mem_0099
(D R : SemanticCore.Class)
(p : SemanticCore.Var)
:
p ∈ R.fv ∪ (Compiler.CompactSourceSyntax.synCxp
(Compiler.CompactSourceSyntax.synCin D
(Compiler.CompactSourceSyntax.synCima
(Compiler.CompactSourceSyntax.synCcnv
(Compiler.CompactSourceSyntax.synCdif R Compiler.CompactSourceSyntax.synCid))
(Compiler.CompactSourceSyntax.synCsn
(Compiler.CompactSourceSyntax.synCuni (Compiler.CompactSourceSyntax.synCuni (SemanticCore.Class.cv p))))))
(Compiler.CompactSourceSyntax.synCin D
(Compiler.CompactSourceSyntax.synCima
(Compiler.CompactSourceSyntax.synCcnv
(Compiler.CompactSourceSyntax.synCdif R Compiler.CompactSourceSyntax.synCid))
(Compiler.CompactSourceSyntax.synCsn
(Compiler.CompactSourceSyntax.synCuni
(Compiler.CompactSourceSyntax.synCuni (SemanticCore.Class.cv p))))))).fv
theorem
NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb091_support_mem_0100
(D R : SemanticCore.Class)
:
nb091AlphaDummy000 D R ∈ {nb091AlphaDummy059 D R} ∪ {nb091AlphaDummy060 D R} ∪ (Compiler.CompactSourceSyntax.synWa
(SemanticCore.Wff.classMem (SemanticCore.Class.cv (nb091AlphaDummy059 D R))
(Compiler.CompactSourceSyntax.synCin D
(Compiler.CompactSourceSyntax.synCima
(Compiler.CompactSourceSyntax.synCcnv
(Compiler.CompactSourceSyntax.synCdif R Compiler.CompactSourceSyntax.synCid))
(Compiler.CompactSourceSyntax.synCsn
(Compiler.CompactSourceSyntax.synCuni
(Compiler.CompactSourceSyntax.synCuni (SemanticCore.Class.cv (nb091AlphaDummy000 D R))))))))
(SemanticCore.Wff.classMem (SemanticCore.Class.cv (nb091AlphaDummy060 D R))
(Compiler.CompactSourceSyntax.synCin D
(Compiler.CompactSourceSyntax.synCima
(Compiler.CompactSourceSyntax.synCcnv
(Compiler.CompactSourceSyntax.synCdif R Compiler.CompactSourceSyntax.synCid))
(Compiler.CompactSourceSyntax.synCsn
(Compiler.CompactSourceSyntax.synCuni
(Compiler.CompactSourceSyntax.synCuni (SemanticCore.Class.cv (nb091AlphaDummy000 D R))))))))).fv
theorem
NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb091_support_mem_0101
(D R : SemanticCore.Class)
(p : SemanticCore.Var)
:
p ∈ {nb091AlphaDummy061 D R p} ∪ {nb091AlphaDummy062 D R p} ∪ (Compiler.CompactSourceSyntax.synWa
(SemanticCore.Wff.classMem (SemanticCore.Class.cv (nb091AlphaDummy061 D R p))
(Compiler.CompactSourceSyntax.synCin D
(Compiler.CompactSourceSyntax.synCima
(Compiler.CompactSourceSyntax.synCcnv
(Compiler.CompactSourceSyntax.synCdif R Compiler.CompactSourceSyntax.synCid))
(Compiler.CompactSourceSyntax.synCsn
(Compiler.CompactSourceSyntax.synCuni
(Compiler.CompactSourceSyntax.synCuni (SemanticCore.Class.cv p)))))))
(SemanticCore.Wff.classMem (SemanticCore.Class.cv (nb091AlphaDummy062 D R p))
(Compiler.CompactSourceSyntax.synCin D
(Compiler.CompactSourceSyntax.synCima
(Compiler.CompactSourceSyntax.synCcnv
(Compiler.CompactSourceSyntax.synCdif R Compiler.CompactSourceSyntax.synCid))
(Compiler.CompactSourceSyntax.synCsn
(Compiler.CompactSourceSyntax.synCuni
(Compiler.CompactSourceSyntax.synCuni (SemanticCore.Class.cv p)))))))).fv
theorem
NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb091_support_mem_0102
(D R : SemanticCore.Class)
:
nb091AlphaDummy000 D R ∈ (Compiler.CompactSourceSyntax.synCin D
(Compiler.CompactSourceSyntax.synCima
(Compiler.CompactSourceSyntax.synCcnv
(Compiler.CompactSourceSyntax.synCdif R Compiler.CompactSourceSyntax.synCid))
(Compiler.CompactSourceSyntax.synCsn
(Compiler.CompactSourceSyntax.synCuni
(Compiler.CompactSourceSyntax.synCuni (SemanticCore.Class.cv (nb091AlphaDummy000 D R))))))).fv ∪ (Compiler.CompactSourceSyntax.synCin D
(Compiler.CompactSourceSyntax.synCima
(Compiler.CompactSourceSyntax.synCcnv
(Compiler.CompactSourceSyntax.synCdif R Compiler.CompactSourceSyntax.synCid))
(Compiler.CompactSourceSyntax.synCsn
(Compiler.CompactSourceSyntax.synCuni
(Compiler.CompactSourceSyntax.synCuni (SemanticCore.Class.cv (nb091AlphaDummy000 D R))))))).fv
theorem
NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb091_support_mem_0103
(D R : SemanticCore.Class)
(p : SemanticCore.Var)
:
p ∈ (Compiler.CompactSourceSyntax.synCin D
(Compiler.CompactSourceSyntax.synCima
(Compiler.CompactSourceSyntax.synCcnv
(Compiler.CompactSourceSyntax.synCdif R Compiler.CompactSourceSyntax.synCid))
(Compiler.CompactSourceSyntax.synCsn
(Compiler.CompactSourceSyntax.synCuni
(Compiler.CompactSourceSyntax.synCuni (SemanticCore.Class.cv p)))))).fv ∪ (Compiler.CompactSourceSyntax.synCin D
(Compiler.CompactSourceSyntax.synCima
(Compiler.CompactSourceSyntax.synCcnv
(Compiler.CompactSourceSyntax.synCdif R Compiler.CompactSourceSyntax.synCid))
(Compiler.CompactSourceSyntax.synCsn
(Compiler.CompactSourceSyntax.synCuni
(Compiler.CompactSourceSyntax.synCuni (SemanticCore.Class.cv p)))))).fv
theorem
NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb091_support_mem_0104
(D R : SemanticCore.Class)
:
nb091AlphaDummy000 D R ∈ (Compiler.CompactSourceSyntax.synCnin D
(Compiler.CompactSourceSyntax.synCima
(Compiler.CompactSourceSyntax.synCcnv
(Compiler.CompactSourceSyntax.synCdif R Compiler.CompactSourceSyntax.synCid))
(Compiler.CompactSourceSyntax.synCsn
(Compiler.CompactSourceSyntax.synCuni
(Compiler.CompactSourceSyntax.synCuni (SemanticCore.Class.cv (nb091AlphaDummy000 D R))))))).fv ∪ (Compiler.CompactSourceSyntax.synCnin D
(Compiler.CompactSourceSyntax.synCima
(Compiler.CompactSourceSyntax.synCcnv
(Compiler.CompactSourceSyntax.synCdif R Compiler.CompactSourceSyntax.synCid))
(Compiler.CompactSourceSyntax.synCsn
(Compiler.CompactSourceSyntax.synCuni
(Compiler.CompactSourceSyntax.synCuni (SemanticCore.Class.cv (nb091AlphaDummy000 D R))))))).fv
theorem
NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb091_support_mem_0105
(D R : SemanticCore.Class)
(p : SemanticCore.Var)
:
p ∈ (Compiler.CompactSourceSyntax.synCnin D
(Compiler.CompactSourceSyntax.synCima
(Compiler.CompactSourceSyntax.synCcnv
(Compiler.CompactSourceSyntax.synCdif R Compiler.CompactSourceSyntax.synCid))
(Compiler.CompactSourceSyntax.synCsn
(Compiler.CompactSourceSyntax.synCuni
(Compiler.CompactSourceSyntax.synCuni (SemanticCore.Class.cv p)))))).fv ∪ (Compiler.CompactSourceSyntax.synCnin D
(Compiler.CompactSourceSyntax.synCima
(Compiler.CompactSourceSyntax.synCcnv
(Compiler.CompactSourceSyntax.synCdif R Compiler.CompactSourceSyntax.synCid))
(Compiler.CompactSourceSyntax.synCsn
(Compiler.CompactSourceSyntax.synCuni
(Compiler.CompactSourceSyntax.synCuni (SemanticCore.Class.cv p)))))).fv
theorem
NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb091_support_mem_0106
(D R : SemanticCore.Class)
:
nb091AlphaDummy000 D R ∈ D.fv ∪ (Compiler.CompactSourceSyntax.synCima
(Compiler.CompactSourceSyntax.synCcnv
(Compiler.CompactSourceSyntax.synCdif R Compiler.CompactSourceSyntax.synCid))
(Compiler.CompactSourceSyntax.synCsn
(Compiler.CompactSourceSyntax.synCuni
(Compiler.CompactSourceSyntax.synCuni (SemanticCore.Class.cv (nb091AlphaDummy000 D R)))))).fv
theorem
NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb091_support_mem_0107
(D R : SemanticCore.Class)
(p : SemanticCore.Var)
:
p ∈ D.fv ∪ (Compiler.CompactSourceSyntax.synCima
(Compiler.CompactSourceSyntax.synCcnv
(Compiler.CompactSourceSyntax.synCdif R Compiler.CompactSourceSyntax.synCid))
(Compiler.CompactSourceSyntax.synCsn
(Compiler.CompactSourceSyntax.synCuni (Compiler.CompactSourceSyntax.synCuni (SemanticCore.Class.cv p))))).fv
theorem
NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb091_support_mem_0108
(D R : SemanticCore.Class)
:
nb091AlphaDummy000 D R ∈ (Compiler.CompactSourceSyntax.synCcnv
(Compiler.CompactSourceSyntax.synCdif R Compiler.CompactSourceSyntax.synCid)).fv ∪ (Compiler.CompactSourceSyntax.synCsn
(Compiler.CompactSourceSyntax.synCuni
(Compiler.CompactSourceSyntax.synCuni (SemanticCore.Class.cv (nb091AlphaDummy000 D R))))).fv
theorem
NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb091_support_mem_0117
(D R : SemanticCore.Class)
:
nb091AlphaDummy106 D R ∈ (Compiler.CompactSourceSyntax.synCcompl
(SemanticCore.Class.cab (nb091AlphaDummy119 D R)
(Compiler.CompactSourceSyntax.synWrex (nb091AlphaDummy120 D R)
(SemanticCore.Class.cv (nb091AlphaDummy106 D R))
(SemanticCore.Wff.classEq (SemanticCore.Class.cv (nb091AlphaDummy119 D R))
(Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv (nb091AlphaDummy120 D R))))))).fv ∪ (Compiler.CompactSourceSyntax.synCcompl
(SemanticCore.Class.cab (nb091AlphaDummy119 D R)
(Compiler.CompactSourceSyntax.synWrex (nb091AlphaDummy120 D R)
(SemanticCore.Class.cv (nb091AlphaDummy105 D R))
(SemanticCore.Wff.classEq (SemanticCore.Class.cv (nb091AlphaDummy119 D R))
(Compiler.CompactSourceSyntax.synCun
(Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv (nb091AlphaDummy120 D R)))
(Compiler.CompactSourceSyntax.synCsn Compiler.CompactSourceSyntax.synC0c)))))).fv
theorem
NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb091_support_mem_0119
(R : SemanticCore.Class)
(p : SemanticCore.Var)
:
nb091AlphaDummy108 R p ∈ (Compiler.CompactSourceSyntax.synCcompl
(SemanticCore.Class.cab (nb091AlphaDummy121 R p)
(Compiler.CompactSourceSyntax.synWrex (nb091AlphaDummy122 R p)
(SemanticCore.Class.cv (nb091AlphaDummy108 R p))
(SemanticCore.Wff.classEq (SemanticCore.Class.cv (nb091AlphaDummy121 R p))
(Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv (nb091AlphaDummy122 R p))))))).fv ∪ (Compiler.CompactSourceSyntax.synCcompl
(SemanticCore.Class.cab (nb091AlphaDummy121 R p)
(Compiler.CompactSourceSyntax.synWrex (nb091AlphaDummy122 R p)
(SemanticCore.Class.cv (nb091AlphaDummy107 R p))
(SemanticCore.Wff.classEq (SemanticCore.Class.cv (nb091AlphaDummy121 R p))
(Compiler.CompactSourceSyntax.synCun
(Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv (nb091AlphaDummy122 R p)))
(Compiler.CompactSourceSyntax.synCsn Compiler.CompactSourceSyntax.synC0c)))))).fv
theorem
NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb091_support_mem_0120
(D R : SemanticCore.Class)
:
nb091AlphaDummy106 D R ∈ (SemanticCore.Class.cab (nb091AlphaDummy119 D R)
(Compiler.CompactSourceSyntax.synWrex (nb091AlphaDummy120 D R) (SemanticCore.Class.cv (nb091AlphaDummy106 D R))
(SemanticCore.Wff.classEq (SemanticCore.Class.cv (nb091AlphaDummy119 D R))
(Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv (nb091AlphaDummy120 D R)))))).fv ∪ (SemanticCore.Class.cab (nb091AlphaDummy119 D R)
(Compiler.CompactSourceSyntax.synWrex (nb091AlphaDummy120 D R) (SemanticCore.Class.cv (nb091AlphaDummy106 D R))
(SemanticCore.Wff.classEq (SemanticCore.Class.cv (nb091AlphaDummy119 D R))
(Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv (nb091AlphaDummy120 D R)))))).fv
theorem
NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb091_support_mem_0121
(R : SemanticCore.Class)
(p : SemanticCore.Var)
:
nb091AlphaDummy108 R p ∈ (SemanticCore.Class.cab (nb091AlphaDummy121 R p)
(Compiler.CompactSourceSyntax.synWrex (nb091AlphaDummy122 R p) (SemanticCore.Class.cv (nb091AlphaDummy108 R p))
(SemanticCore.Wff.classEq (SemanticCore.Class.cv (nb091AlphaDummy121 R p))
(Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv (nb091AlphaDummy122 R p)))))).fv ∪ (SemanticCore.Class.cab (nb091AlphaDummy121 R p)
(Compiler.CompactSourceSyntax.synWrex (nb091AlphaDummy122 R p) (SemanticCore.Class.cv (nb091AlphaDummy108 R p))
(SemanticCore.Wff.classEq (SemanticCore.Class.cv (nb091AlphaDummy121 R p))
(Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv (nb091AlphaDummy122 R p)))))).fv
theorem
NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb091_support_mem_0124
(D R : SemanticCore.Class)
:
nb091AlphaDummy127 D R ∈ (SemanticCore.Wff.classMem (SemanticCore.Class.cv (nb091AlphaDummy127 D R)) Compiler.CompactSourceSyntax.synCnnc).fv ∪ (Compiler.CompactSourceSyntax.synCplc (SemanticCore.Class.cv (nb091AlphaDummy127 D R))
Compiler.CompactSourceSyntax.synC1c).fv ∪ (SemanticCore.Class.cv (nb091AlphaDummy127 D R)).fv
theorem
NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb091_support_mem_0125
(R : SemanticCore.Class)
(p : SemanticCore.Var)
:
nb091AlphaDummy129 R p ∈ (SemanticCore.Wff.classMem (SemanticCore.Class.cv (nb091AlphaDummy129 R p)) Compiler.CompactSourceSyntax.synCnnc).fv ∪ (Compiler.CompactSourceSyntax.synCplc (SemanticCore.Class.cv (nb091AlphaDummy129 R p))
Compiler.CompactSourceSyntax.synC1c).fv ∪ (SemanticCore.Class.cv (nb091AlphaDummy129 R p)).fv
theorem
NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb091_support_mem_0128
(D R : SemanticCore.Class)
:
nb091AlphaDummy134 D R ∈ (Compiler.CompactSourceSyntax.synCnin (SemanticCore.Class.cv (nb091AlphaDummy134 D R))
(SemanticCore.Class.cv (nb091AlphaDummy135 D R))).fv ∪ (Compiler.CompactSourceSyntax.synCnin (SemanticCore.Class.cv (nb091AlphaDummy134 D R))
(SemanticCore.Class.cv (nb091AlphaDummy135 D R))).fv
theorem
NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb091_support_mem_0129
(R : SemanticCore.Class)
(p : SemanticCore.Var)
:
nb091AlphaDummy137 R p ∈ (Compiler.CompactSourceSyntax.synCnin (SemanticCore.Class.cv (nb091AlphaDummy137 R p))
(SemanticCore.Class.cv (nb091AlphaDummy138 R p))).fv ∪ (Compiler.CompactSourceSyntax.synCnin (SemanticCore.Class.cv (nb091AlphaDummy137 R p))
(SemanticCore.Class.cv (nb091AlphaDummy138 R p))).fv
theorem
NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb091_support_mem_0132
(D R : SemanticCore.Class)
:
nb091AlphaDummy135 D R ∈ (Compiler.CompactSourceSyntax.synCnin (SemanticCore.Class.cv (nb091AlphaDummy134 D R))
(SemanticCore.Class.cv (nb091AlphaDummy135 D R))).fv ∪ (Compiler.CompactSourceSyntax.synCnin (SemanticCore.Class.cv (nb091AlphaDummy134 D R))
(SemanticCore.Class.cv (nb091AlphaDummy135 D R))).fv
theorem
NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb091_support_mem_0133
(R : SemanticCore.Class)
(p : SemanticCore.Var)
:
nb091AlphaDummy138 R p ∈ (Compiler.CompactSourceSyntax.synCnin (SemanticCore.Class.cv (nb091AlphaDummy137 R p))
(SemanticCore.Class.cv (nb091AlphaDummy138 R p))).fv ∪ (Compiler.CompactSourceSyntax.synCnin (SemanticCore.Class.cv (nb091AlphaDummy137 R p))
(SemanticCore.Class.cv (nb091AlphaDummy138 R p))).fv
theorem
NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb091_support_mem_0145
(D R : SemanticCore.Class)
:
nb091AlphaDummy105 D R ∈ (Compiler.CompactSourceSyntax.synCcompl
(SemanticCore.Class.cab (nb091AlphaDummy119 D R)
(Compiler.CompactSourceSyntax.synWrex (nb091AlphaDummy120 D R)
(SemanticCore.Class.cv (nb091AlphaDummy106 D R))
(SemanticCore.Wff.classEq (SemanticCore.Class.cv (nb091AlphaDummy119 D R))
(Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv (nb091AlphaDummy120 D R))))))).fv ∪ (Compiler.CompactSourceSyntax.synCcompl
(SemanticCore.Class.cab (nb091AlphaDummy119 D R)
(Compiler.CompactSourceSyntax.synWrex (nb091AlphaDummy120 D R)
(SemanticCore.Class.cv (nb091AlphaDummy105 D R))
(SemanticCore.Wff.classEq (SemanticCore.Class.cv (nb091AlphaDummy119 D R))
(Compiler.CompactSourceSyntax.synCun
(Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv (nb091AlphaDummy120 D R)))
(Compiler.CompactSourceSyntax.synCsn Compiler.CompactSourceSyntax.synC0c)))))).fv
theorem
NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb091_support_mem_0147
(R : SemanticCore.Class)
(p : SemanticCore.Var)
:
nb091AlphaDummy107 R p ∈ (Compiler.CompactSourceSyntax.synCcompl
(SemanticCore.Class.cab (nb091AlphaDummy121 R p)
(Compiler.CompactSourceSyntax.synWrex (nb091AlphaDummy122 R p)
(SemanticCore.Class.cv (nb091AlphaDummy108 R p))
(SemanticCore.Wff.classEq (SemanticCore.Class.cv (nb091AlphaDummy121 R p))
(Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv (nb091AlphaDummy122 R p))))))).fv ∪ (Compiler.CompactSourceSyntax.synCcompl
(SemanticCore.Class.cab (nb091AlphaDummy121 R p)
(Compiler.CompactSourceSyntax.synWrex (nb091AlphaDummy122 R p)
(SemanticCore.Class.cv (nb091AlphaDummy107 R p))
(SemanticCore.Wff.classEq (SemanticCore.Class.cv (nb091AlphaDummy121 R p))
(Compiler.CompactSourceSyntax.synCun
(Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv (nb091AlphaDummy122 R p)))
(Compiler.CompactSourceSyntax.synCsn Compiler.CompactSourceSyntax.synC0c)))))).fv
theorem
NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb091_support_mem_0148
(D R : SemanticCore.Class)
:
nb091AlphaDummy105 D R ∈ (SemanticCore.Class.cab (nb091AlphaDummy119 D R)
(Compiler.CompactSourceSyntax.synWrex (nb091AlphaDummy120 D R) (SemanticCore.Class.cv (nb091AlphaDummy105 D R))
(SemanticCore.Wff.classEq (SemanticCore.Class.cv (nb091AlphaDummy119 D R))
(Compiler.CompactSourceSyntax.synCun
(Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv (nb091AlphaDummy120 D R)))
(Compiler.CompactSourceSyntax.synCsn Compiler.CompactSourceSyntax.synC0c))))).fv ∪ (SemanticCore.Class.cab (nb091AlphaDummy119 D R)
(Compiler.CompactSourceSyntax.synWrex (nb091AlphaDummy120 D R) (SemanticCore.Class.cv (nb091AlphaDummy105 D R))
(SemanticCore.Wff.classEq (SemanticCore.Class.cv (nb091AlphaDummy119 D R))
(Compiler.CompactSourceSyntax.synCun
(Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv (nb091AlphaDummy120 D R)))
(Compiler.CompactSourceSyntax.synCsn Compiler.CompactSourceSyntax.synC0c))))).fv
theorem
NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb091_support_mem_0149
(R : SemanticCore.Class)
(p : SemanticCore.Var)
:
nb091AlphaDummy107 R p ∈ (SemanticCore.Class.cab (nb091AlphaDummy121 R p)
(Compiler.CompactSourceSyntax.synWrex (nb091AlphaDummy122 R p) (SemanticCore.Class.cv (nb091AlphaDummy107 R p))
(SemanticCore.Wff.classEq (SemanticCore.Class.cv (nb091AlphaDummy121 R p))
(Compiler.CompactSourceSyntax.synCun
(Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv (nb091AlphaDummy122 R p)))
(Compiler.CompactSourceSyntax.synCsn Compiler.CompactSourceSyntax.synC0c))))).fv ∪ (SemanticCore.Class.cab (nb091AlphaDummy121 R p)
(Compiler.CompactSourceSyntax.synWrex (nb091AlphaDummy122 R p) (SemanticCore.Class.cv (nb091AlphaDummy107 R p))
(SemanticCore.Wff.classEq (SemanticCore.Class.cv (nb091AlphaDummy121 R p))
(Compiler.CompactSourceSyntax.synCun
(Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv (nb091AlphaDummy122 R p)))
(Compiler.CompactSourceSyntax.synCsn Compiler.CompactSourceSyntax.synC0c))))).fv
theorem
NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb091_support_mem_0156
(D R : SemanticCore.Class)
:
nb091AlphaDummy155 D R ∈ (SemanticCore.Wff.classMem (SemanticCore.Class.cv (nb091AlphaDummy155 D R)) Compiler.CompactSourceSyntax.synCnnc).fv ∪ (Compiler.CompactSourceSyntax.synCplc (SemanticCore.Class.cv (nb091AlphaDummy155 D R))
Compiler.CompactSourceSyntax.synC1c).fv ∪ (SemanticCore.Class.cv (nb091AlphaDummy155 D R)).fv
theorem
NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb091_support_mem_0157
(D R : SemanticCore.Class)
(p : SemanticCore.Var)
:
nb091AlphaDummy157 D R p ∈ (SemanticCore.Wff.classMem (SemanticCore.Class.cv (nb091AlphaDummy157 D R p))
Compiler.CompactSourceSyntax.synCnnc).fv ∪ (Compiler.CompactSourceSyntax.synCplc (SemanticCore.Class.cv (nb091AlphaDummy157 D R p))
Compiler.CompactSourceSyntax.synC1c).fv ∪ (SemanticCore.Class.cv (nb091AlphaDummy157 D R p)).fv
theorem
NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb091_support_mem_0160
(D R : SemanticCore.Class)
:
nb091AlphaDummy162 D R ∈ (Compiler.CompactSourceSyntax.synCnin (SemanticCore.Class.cv (nb091AlphaDummy162 D R))
(SemanticCore.Class.cv (nb091AlphaDummy163 D R))).fv ∪ (Compiler.CompactSourceSyntax.synCnin (SemanticCore.Class.cv (nb091AlphaDummy162 D R))
(SemanticCore.Class.cv (nb091AlphaDummy163 D R))).fv
theorem
NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb091_support_mem_0161
(D R : SemanticCore.Class)
(p : SemanticCore.Var)
:
nb091AlphaDummy165 D R p ∈ (Compiler.CompactSourceSyntax.synCnin (SemanticCore.Class.cv (nb091AlphaDummy165 D R p))
(SemanticCore.Class.cv (nb091AlphaDummy166 D R p))).fv ∪ (Compiler.CompactSourceSyntax.synCnin (SemanticCore.Class.cv (nb091AlphaDummy165 D R p))
(SemanticCore.Class.cv (nb091AlphaDummy166 D R p))).fv
theorem
NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb091_support_mem_0163
(D R : SemanticCore.Class)
(p : SemanticCore.Var)
:
nb091AlphaDummy165 D R p ∈ (SemanticCore.Class.cv (nb091AlphaDummy165 D R p)).fv ∪ (SemanticCore.Class.cv (nb091AlphaDummy166 D R p)).fv
theorem
NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb091_support_mem_0164
(D R : SemanticCore.Class)
:
nb091AlphaDummy163 D R ∈ (Compiler.CompactSourceSyntax.synCnin (SemanticCore.Class.cv (nb091AlphaDummy162 D R))
(SemanticCore.Class.cv (nb091AlphaDummy163 D R))).fv ∪ (Compiler.CompactSourceSyntax.synCnin (SemanticCore.Class.cv (nb091AlphaDummy162 D R))
(SemanticCore.Class.cv (nb091AlphaDummy163 D R))).fv
theorem
NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb091_support_mem_0165
(D R : SemanticCore.Class)
(p : SemanticCore.Var)
:
nb091AlphaDummy166 D R p ∈ (Compiler.CompactSourceSyntax.synCnin (SemanticCore.Class.cv (nb091AlphaDummy165 D R p))
(SemanticCore.Class.cv (nb091AlphaDummy166 D R p))).fv ∪ (Compiler.CompactSourceSyntax.synCnin (SemanticCore.Class.cv (nb091AlphaDummy165 D R p))
(SemanticCore.Class.cv (nb091AlphaDummy166 D R p))).fv
theorem
NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb091_support_mem_0167
(D R : SemanticCore.Class)
(p : SemanticCore.Var)
:
nb091AlphaDummy166 D R p ∈ (SemanticCore.Class.cv (nb091AlphaDummy165 D R p)).fv ∪ (SemanticCore.Class.cv (nb091AlphaDummy166 D R p)).fv
theorem
NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb091_support_mem_0171
(D R : SemanticCore.Class)
(p : SemanticCore.Var)
:
nb091AlphaDummy165 D R p ∈ (SemanticCore.Class.cv (nb091AlphaDummy165 D R p)).fv ∪ (SemanticCore.Class.cv (nb091AlphaDummy165 D R p)).fv
theorem
NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb091_support_mem_0175
(D R : SemanticCore.Class)
(p : SemanticCore.Var)
:
nb091AlphaDummy166 D R p ∈ (SemanticCore.Class.cv (nb091AlphaDummy166 D R p)).fv ∪ (SemanticCore.Class.cv (nb091AlphaDummy166 D R p)).fv
theorem
NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb091_support_mem_0176
(D R : SemanticCore.Class)
:
nb091AlphaDummy000 D R ∈ (SemanticCore.Class.cab (nb091AlphaDummy047 D R)
(Compiler.CompactSourceSyntax.synWrex (nb091AlphaDummy048 D R)
(Compiler.CompactSourceSyntax.synCin D
(Compiler.CompactSourceSyntax.synCima
(Compiler.CompactSourceSyntax.synCcnv
(Compiler.CompactSourceSyntax.synCdif R Compiler.CompactSourceSyntax.synCid))
(Compiler.CompactSourceSyntax.synCsn
(Compiler.CompactSourceSyntax.synCuni
(Compiler.CompactSourceSyntax.synCuni (SemanticCore.Class.cv (nb091AlphaDummy000 D R)))))))
(SemanticCore.Wff.classEq (SemanticCore.Class.cv (nb091AlphaDummy047 D R))
(Compiler.CompactSourceSyntax.synCun
(Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv (nb091AlphaDummy048 D R)))
(Compiler.CompactSourceSyntax.synCsn Compiler.CompactSourceSyntax.synC0c))))).fv ∪ (SemanticCore.Class.cab (nb091AlphaDummy047 D R)
(Compiler.CompactSourceSyntax.synWrex (nb091AlphaDummy048 D R)
(Compiler.CompactSourceSyntax.synCin D
(Compiler.CompactSourceSyntax.synCima
(Compiler.CompactSourceSyntax.synCcnv
(Compiler.CompactSourceSyntax.synCdif R Compiler.CompactSourceSyntax.synCid))
(Compiler.CompactSourceSyntax.synCsn
(Compiler.CompactSourceSyntax.synCuni
(Compiler.CompactSourceSyntax.synCuni (SemanticCore.Class.cv (nb091AlphaDummy000 D R)))))))
(SemanticCore.Wff.classEq (SemanticCore.Class.cv (nb091AlphaDummy047 D R))
(Compiler.CompactSourceSyntax.synCun
(Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv (nb091AlphaDummy048 D R)))
(Compiler.CompactSourceSyntax.synCsn Compiler.CompactSourceSyntax.synC0c))))).fv
theorem
NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb091_support_mem_0177
(D R : SemanticCore.Class)
(p : SemanticCore.Var)
:
p ∈ (SemanticCore.Class.cab (nb091AlphaDummy049 D R p)
(Compiler.CompactSourceSyntax.synWrex (nb091AlphaDummy050 D R p)
(Compiler.CompactSourceSyntax.synCin D
(Compiler.CompactSourceSyntax.synCima
(Compiler.CompactSourceSyntax.synCcnv
(Compiler.CompactSourceSyntax.synCdif R Compiler.CompactSourceSyntax.synCid))
(Compiler.CompactSourceSyntax.synCsn
(Compiler.CompactSourceSyntax.synCuni
(Compiler.CompactSourceSyntax.synCuni (SemanticCore.Class.cv p))))))
(SemanticCore.Wff.classEq (SemanticCore.Class.cv (nb091AlphaDummy049 D R p))
(Compiler.CompactSourceSyntax.synCun
(Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv (nb091AlphaDummy050 D R p)))
(Compiler.CompactSourceSyntax.synCsn Compiler.CompactSourceSyntax.synC0c))))).fv ∪ (SemanticCore.Class.cab (nb091AlphaDummy049 D R p)
(Compiler.CompactSourceSyntax.synWrex (nb091AlphaDummy050 D R p)
(Compiler.CompactSourceSyntax.synCin D
(Compiler.CompactSourceSyntax.synCima
(Compiler.CompactSourceSyntax.synCcnv
(Compiler.CompactSourceSyntax.synCdif R Compiler.CompactSourceSyntax.synCid))
(Compiler.CompactSourceSyntax.synCsn
(Compiler.CompactSourceSyntax.synCuni
(Compiler.CompactSourceSyntax.synCuni (SemanticCore.Class.cv p))))))
(SemanticCore.Wff.classEq (SemanticCore.Class.cv (nb091AlphaDummy049 D R p))
(Compiler.CompactSourceSyntax.synCun
(Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv (nb091AlphaDummy050 D R p)))
(Compiler.CompactSourceSyntax.synCsn Compiler.CompactSourceSyntax.synC0c))))).fv
theorem
NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb091_support_mem_0183
(D R : SemanticCore.Class)
:
nb091AlphaDummy042 D R ∈ (Compiler.CompactSourceSyntax.synCcompl
(SemanticCore.Class.cab (nb091AlphaDummy183 D R)
(Compiler.CompactSourceSyntax.synWrex (nb091AlphaDummy184 D R)
(SemanticCore.Class.cv (nb091AlphaDummy042 D R))
(SemanticCore.Wff.classEq (SemanticCore.Class.cv (nb091AlphaDummy183 D R))
(Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv (nb091AlphaDummy184 D R))))))).fv ∪ (Compiler.CompactSourceSyntax.synCcompl
(SemanticCore.Class.cab (nb091AlphaDummy183 D R)
(Compiler.CompactSourceSyntax.synWrex (nb091AlphaDummy184 D R)
(SemanticCore.Class.cv (nb091AlphaDummy041 D R))
(SemanticCore.Wff.classEq (SemanticCore.Class.cv (nb091AlphaDummy183 D R))
(Compiler.CompactSourceSyntax.synCun
(Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv (nb091AlphaDummy184 D R)))
(Compiler.CompactSourceSyntax.synCsn Compiler.CompactSourceSyntax.synC0c)))))).fv
theorem
NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb091_support_mem_0184
(D R : SemanticCore.Class)
(p : SemanticCore.Var)
:
nb091AlphaDummy044 D R p ∈ (SemanticCore.Class.cv (nb091AlphaDummy044 D R p)).fv ∪ (SemanticCore.Class.cv (nb091AlphaDummy043 D R p)).fv
theorem
NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb091_support_mem_0185
(D R : SemanticCore.Class)
(p : SemanticCore.Var)
:
nb091AlphaDummy044 D R p ∈ (Compiler.CompactSourceSyntax.synCcompl
(SemanticCore.Class.cab (nb091AlphaDummy185 D R p)
(Compiler.CompactSourceSyntax.synWrex (nb091AlphaDummy186 D R p)
(SemanticCore.Class.cv (nb091AlphaDummy044 D R p))
(SemanticCore.Wff.classEq (SemanticCore.Class.cv (nb091AlphaDummy185 D R p))
(Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv (nb091AlphaDummy186 D R p))))))).fv ∪ (Compiler.CompactSourceSyntax.synCcompl
(SemanticCore.Class.cab (nb091AlphaDummy185 D R p)
(Compiler.CompactSourceSyntax.synWrex (nb091AlphaDummy186 D R p)
(SemanticCore.Class.cv (nb091AlphaDummy043 D R p))
(SemanticCore.Wff.classEq (SemanticCore.Class.cv (nb091AlphaDummy185 D R p))
(Compiler.CompactSourceSyntax.synCun
(Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv (nb091AlphaDummy186 D R p)))
(Compiler.CompactSourceSyntax.synCsn Compiler.CompactSourceSyntax.synC0c)))))).fv
theorem
NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb091_support_mem_0186
(D R : SemanticCore.Class)
:
nb091AlphaDummy042 D R ∈ (SemanticCore.Class.cab (nb091AlphaDummy183 D R)
(Compiler.CompactSourceSyntax.synWrex (nb091AlphaDummy184 D R) (SemanticCore.Class.cv (nb091AlphaDummy042 D R))
(SemanticCore.Wff.classEq (SemanticCore.Class.cv (nb091AlphaDummy183 D R))
(Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv (nb091AlphaDummy184 D R)))))).fv ∪ (SemanticCore.Class.cab (nb091AlphaDummy183 D R)
(Compiler.CompactSourceSyntax.synWrex (nb091AlphaDummy184 D R) (SemanticCore.Class.cv (nb091AlphaDummy042 D R))
(SemanticCore.Wff.classEq (SemanticCore.Class.cv (nb091AlphaDummy183 D R))
(Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv (nb091AlphaDummy184 D R)))))).fv
theorem
NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb091_support_mem_0187
(D R : SemanticCore.Class)
(p : SemanticCore.Var)
:
nb091AlphaDummy044 D R p ∈ (SemanticCore.Class.cab (nb091AlphaDummy185 D R p)
(Compiler.CompactSourceSyntax.synWrex (nb091AlphaDummy186 D R p)
(SemanticCore.Class.cv (nb091AlphaDummy044 D R p))
(SemanticCore.Wff.classEq (SemanticCore.Class.cv (nb091AlphaDummy185 D R p))
(Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv (nb091AlphaDummy186 D R p)))))).fv ∪ (SemanticCore.Class.cab (nb091AlphaDummy185 D R p)
(Compiler.CompactSourceSyntax.synWrex (nb091AlphaDummy186 D R p)
(SemanticCore.Class.cv (nb091AlphaDummy044 D R p))
(SemanticCore.Wff.classEq (SemanticCore.Class.cv (nb091AlphaDummy185 D R p))
(Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv (nb091AlphaDummy186 D R p)))))).fv
theorem
NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb091_support_mem_0190
(D R : SemanticCore.Class)
:
nb091AlphaDummy191 D R ∈ (SemanticCore.Wff.classMem (SemanticCore.Class.cv (nb091AlphaDummy191 D R)) Compiler.CompactSourceSyntax.synCnnc).fv ∪ (Compiler.CompactSourceSyntax.synCplc (SemanticCore.Class.cv (nb091AlphaDummy191 D R))
Compiler.CompactSourceSyntax.synC1c).fv ∪ (SemanticCore.Class.cv (nb091AlphaDummy191 D R)).fv
theorem
NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb091_support_mem_0191
(D R : SemanticCore.Class)
(p : SemanticCore.Var)
:
nb091AlphaDummy193 D R p ∈ (SemanticCore.Wff.classMem (SemanticCore.Class.cv (nb091AlphaDummy193 D R p))
Compiler.CompactSourceSyntax.synCnnc).fv ∪ (Compiler.CompactSourceSyntax.synCplc (SemanticCore.Class.cv (nb091AlphaDummy193 D R p))
Compiler.CompactSourceSyntax.synC1c).fv ∪ (SemanticCore.Class.cv (nb091AlphaDummy193 D R p)).fv
theorem
NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb091_support_mem_0194
(D R : SemanticCore.Class)
:
nb091AlphaDummy198 D R ∈ (Compiler.CompactSourceSyntax.synCnin (SemanticCore.Class.cv (nb091AlphaDummy198 D R))
(SemanticCore.Class.cv (nb091AlphaDummy199 D R))).fv ∪ (Compiler.CompactSourceSyntax.synCnin (SemanticCore.Class.cv (nb091AlphaDummy198 D R))
(SemanticCore.Class.cv (nb091AlphaDummy199 D R))).fv
theorem
NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb091_support_mem_0195
(D R : SemanticCore.Class)
(p : SemanticCore.Var)
:
nb091AlphaDummy201 D R p ∈ (Compiler.CompactSourceSyntax.synCnin (SemanticCore.Class.cv (nb091AlphaDummy201 D R p))
(SemanticCore.Class.cv (nb091AlphaDummy202 D R p))).fv ∪ (Compiler.CompactSourceSyntax.synCnin (SemanticCore.Class.cv (nb091AlphaDummy201 D R p))
(SemanticCore.Class.cv (nb091AlphaDummy202 D R p))).fv
theorem
NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb091_support_mem_0197
(D R : SemanticCore.Class)
(p : SemanticCore.Var)
:
nb091AlphaDummy201 D R p ∈ (SemanticCore.Class.cv (nb091AlphaDummy201 D R p)).fv ∪ (SemanticCore.Class.cv (nb091AlphaDummy202 D R p)).fv
theorem
NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb091_support_mem_0198
(D R : SemanticCore.Class)
:
nb091AlphaDummy199 D R ∈ (Compiler.CompactSourceSyntax.synCnin (SemanticCore.Class.cv (nb091AlphaDummy198 D R))
(SemanticCore.Class.cv (nb091AlphaDummy199 D R))).fv ∪ (Compiler.CompactSourceSyntax.synCnin (SemanticCore.Class.cv (nb091AlphaDummy198 D R))
(SemanticCore.Class.cv (nb091AlphaDummy199 D R))).fv
theorem
NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb091_support_mem_0199
(D R : SemanticCore.Class)
(p : SemanticCore.Var)
:
nb091AlphaDummy202 D R p ∈ (Compiler.CompactSourceSyntax.synCnin (SemanticCore.Class.cv (nb091AlphaDummy201 D R p))
(SemanticCore.Class.cv (nb091AlphaDummy202 D R p))).fv ∪ (Compiler.CompactSourceSyntax.synCnin (SemanticCore.Class.cv (nb091AlphaDummy201 D R p))
(SemanticCore.Class.cv (nb091AlphaDummy202 D R p))).fv
theorem
NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb091_support_mem_0201
(D R : SemanticCore.Class)
(p : SemanticCore.Var)
:
nb091AlphaDummy202 D R p ∈ (SemanticCore.Class.cv (nb091AlphaDummy201 D R p)).fv ∪ (SemanticCore.Class.cv (nb091AlphaDummy202 D R p)).fv
theorem
NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb091_support_mem_0205
(D R : SemanticCore.Class)
(p : SemanticCore.Var)
:
nb091AlphaDummy201 D R p ∈ (SemanticCore.Class.cv (nb091AlphaDummy201 D R p)).fv ∪ (SemanticCore.Class.cv (nb091AlphaDummy201 D R p)).fv
theorem
NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb091_support_mem_0209
(D R : SemanticCore.Class)
(p : SemanticCore.Var)
:
nb091AlphaDummy202 D R p ∈ (SemanticCore.Class.cv (nb091AlphaDummy202 D R p)).fv ∪ (SemanticCore.Class.cv (nb091AlphaDummy202 D R p)).fv
theorem
NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb091_support_mem_0211
(D R : SemanticCore.Class)
:
nb091AlphaDummy041 D R ∈ (Compiler.CompactSourceSyntax.synCcompl
(SemanticCore.Class.cab (nb091AlphaDummy183 D R)
(Compiler.CompactSourceSyntax.synWrex (nb091AlphaDummy184 D R)
(SemanticCore.Class.cv (nb091AlphaDummy042 D R))
(SemanticCore.Wff.classEq (SemanticCore.Class.cv (nb091AlphaDummy183 D R))
(Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv (nb091AlphaDummy184 D R))))))).fv ∪ (Compiler.CompactSourceSyntax.synCcompl
(SemanticCore.Class.cab (nb091AlphaDummy183 D R)
(Compiler.CompactSourceSyntax.synWrex (nb091AlphaDummy184 D R)
(SemanticCore.Class.cv (nb091AlphaDummy041 D R))
(SemanticCore.Wff.classEq (SemanticCore.Class.cv (nb091AlphaDummy183 D R))
(Compiler.CompactSourceSyntax.synCun
(Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv (nb091AlphaDummy184 D R)))
(Compiler.CompactSourceSyntax.synCsn Compiler.CompactSourceSyntax.synC0c)))))).fv
theorem
NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb091_support_mem_0212
(D R : SemanticCore.Class)
(p : SemanticCore.Var)
:
nb091AlphaDummy043 D R p ∈ (SemanticCore.Class.cv (nb091AlphaDummy044 D R p)).fv ∪ (SemanticCore.Class.cv (nb091AlphaDummy043 D R p)).fv
theorem
NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb091_support_mem_0213
(D R : SemanticCore.Class)
(p : SemanticCore.Var)
:
nb091AlphaDummy043 D R p ∈ (Compiler.CompactSourceSyntax.synCcompl
(SemanticCore.Class.cab (nb091AlphaDummy185 D R p)
(Compiler.CompactSourceSyntax.synWrex (nb091AlphaDummy186 D R p)
(SemanticCore.Class.cv (nb091AlphaDummy044 D R p))
(SemanticCore.Wff.classEq (SemanticCore.Class.cv (nb091AlphaDummy185 D R p))
(Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv (nb091AlphaDummy186 D R p))))))).fv ∪ (Compiler.CompactSourceSyntax.synCcompl
(SemanticCore.Class.cab (nb091AlphaDummy185 D R p)
(Compiler.CompactSourceSyntax.synWrex (nb091AlphaDummy186 D R p)
(SemanticCore.Class.cv (nb091AlphaDummy043 D R p))
(SemanticCore.Wff.classEq (SemanticCore.Class.cv (nb091AlphaDummy185 D R p))
(Compiler.CompactSourceSyntax.synCun
(Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv (nb091AlphaDummy186 D R p)))
(Compiler.CompactSourceSyntax.synCsn Compiler.CompactSourceSyntax.synC0c)))))).fv
theorem
NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb091_support_mem_0214
(D R : SemanticCore.Class)
:
nb091AlphaDummy041 D R ∈ (SemanticCore.Class.cab (nb091AlphaDummy183 D R)
(Compiler.CompactSourceSyntax.synWrex (nb091AlphaDummy184 D R) (SemanticCore.Class.cv (nb091AlphaDummy041 D R))
(SemanticCore.Wff.classEq (SemanticCore.Class.cv (nb091AlphaDummy183 D R))
(Compiler.CompactSourceSyntax.synCun
(Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv (nb091AlphaDummy184 D R)))
(Compiler.CompactSourceSyntax.synCsn Compiler.CompactSourceSyntax.synC0c))))).fv ∪ (SemanticCore.Class.cab (nb091AlphaDummy183 D R)
(Compiler.CompactSourceSyntax.synWrex (nb091AlphaDummy184 D R) (SemanticCore.Class.cv (nb091AlphaDummy041 D R))
(SemanticCore.Wff.classEq (SemanticCore.Class.cv (nb091AlphaDummy183 D R))
(Compiler.CompactSourceSyntax.synCun
(Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv (nb091AlphaDummy184 D R)))
(Compiler.CompactSourceSyntax.synCsn Compiler.CompactSourceSyntax.synC0c))))).fv
theorem
NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb091_support_mem_0215
(D R : SemanticCore.Class)
(p : SemanticCore.Var)
:
nb091AlphaDummy043 D R p ∈ (SemanticCore.Class.cab (nb091AlphaDummy185 D R p)
(Compiler.CompactSourceSyntax.synWrex (nb091AlphaDummy186 D R p)
(SemanticCore.Class.cv (nb091AlphaDummy043 D R p))
(SemanticCore.Wff.classEq (SemanticCore.Class.cv (nb091AlphaDummy185 D R p))
(Compiler.CompactSourceSyntax.synCun
(Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv (nb091AlphaDummy186 D R p)))
(Compiler.CompactSourceSyntax.synCsn Compiler.CompactSourceSyntax.synC0c))))).fv ∪ (SemanticCore.Class.cab (nb091AlphaDummy185 D R p)
(Compiler.CompactSourceSyntax.synWrex (nb091AlphaDummy186 D R p)
(SemanticCore.Class.cv (nb091AlphaDummy043 D R p))
(SemanticCore.Wff.classEq (SemanticCore.Class.cv (nb091AlphaDummy185 D R p))
(Compiler.CompactSourceSyntax.synCun
(Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv (nb091AlphaDummy186 D R p)))
(Compiler.CompactSourceSyntax.synCsn Compiler.CompactSourceSyntax.synC0c))))).fv