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LeanPool.NFWeakPartition.NAR4H5C091M3BPart002

NF weak partition development: NAR4H5C091M3BPart002.

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_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_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_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) :