Nominal proof certificates grouped in dependency order.

Certificates from AlphaSupport.NAR4H5C095M3Part008Stage1.

theorem NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb095_support_mem_0725 (x u : SemanticCore.Var) (D R S_cls : SemanticCore.Class) (f : SemanticCore.Var) (E : SemanticCore.Class) : nb095AlphaDummy695 x u D R S_cls f E ∈ (SemanticCore.Class.cv (nb095AlphaDummy695 x u D R S_cls f E)).fv ∪ (SemanticCore.Class.cv (nb095AlphaDummy695 x u D R S_cls f E)).fv

theorem NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb095_support_mem_0726 (D R S_cls E : SemanticCore.Class) : nb095AlphaDummy693 D R S_cls E ∈ (Compiler.CompactSourceSyntax.synCcompl (SemanticCore.Class.cv (nb095AlphaDummy692 D R S_cls E))).fv ∪ (Compiler.CompactSourceSyntax.synCcompl (SemanticCore.Class.cv (nb095AlphaDummy693 D R S_cls E))).fv

theorem NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb095_support_mem_0727 (x u : SemanticCore.Var) (D R S_cls : SemanticCore.Class) (f : SemanticCore.Var) (E : SemanticCore.Class) : nb095AlphaDummy696 x u D R S_cls f E ∈ (Compiler.CompactSourceSyntax.synCcompl (SemanticCore.Class.cv (nb095AlphaDummy695 x u D R S_cls f E))).fv ∪ (Compiler.CompactSourceSyntax.synCcompl (SemanticCore.Class.cv (nb095AlphaDummy696 x u D R S_cls f E))).fv

theorem NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb095_support_mem_0728 (D R S_cls E : SemanticCore.Class) : nb095AlphaDummy693 D R S_cls E ∈ (SemanticCore.Class.cv (nb095AlphaDummy693 D R S_cls E)).fv ∪ (SemanticCore.Class.cv (nb095AlphaDummy693 D R S_cls E)).fv

theorem NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb095_support_mem_0729 (x u : SemanticCore.Var) (D R S_cls : SemanticCore.Class) (f : SemanticCore.Var) (E : SemanticCore.Class) : nb095AlphaDummy696 x u D R S_cls f E ∈ (SemanticCore.Class.cv (nb095AlphaDummy696 x u D R S_cls f E)).fv ∪ (SemanticCore.Class.cv (nb095AlphaDummy696 x u D R S_cls f E)).fv

theorem NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb095_support_mem_0730 (D R S_cls E : SemanticCore.Class) : nb095AlphaDummy669 D R S_cls E ∈ (SemanticCore.Class.cv (nb095AlphaDummy003 D R S_cls E)).fv ∪ (SemanticCore.Class.cv (nb095AlphaDummy669 D R S_cls E)).fv

theorem NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb095_support_mem_0731 (D R S_cls E : SemanticCore.Class) : nb095AlphaDummy669 D R S_cls E ∈ (Compiler.CompactSourceSyntax.synCcompl (SemanticCore.Class.cab (nb095AlphaDummy677 D R S_cls E) (Compiler.CompactSourceSyntax.synWrex (nb095AlphaDummy678 D R S_cls E) (SemanticCore.Class.cv (nb095AlphaDummy003 D R S_cls E)) (SemanticCore.Wff.classEq (SemanticCore.Class.cv (nb095AlphaDummy677 D R S_cls E)) (Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv (nb095AlphaDummy678 D R S_cls E))))))).fv ∪ (Compiler.CompactSourceSyntax.synCcompl (SemanticCore.Class.cab (nb095AlphaDummy677 D R S_cls E) (Compiler.CompactSourceSyntax.synWrex (nb095AlphaDummy678 D R S_cls E) (SemanticCore.Class.cv (nb095AlphaDummy669 D R S_cls E)) (SemanticCore.Wff.classEq (SemanticCore.Class.cv (nb095AlphaDummy677 D R S_cls E)) (Compiler.CompactSourceSyntax.synCun (Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv (nb095AlphaDummy678 D R S_cls E))) (Compiler.CompactSourceSyntax.synCsn Compiler.CompactSourceSyntax.synC0c)))))).fv

theorem NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb095_support_mem_0732 (x u : SemanticCore.Var) (D R S_cls : SemanticCore.Class) (f : SemanticCore.Var) (E : SemanticCore.Class) : nb095AlphaDummy670 x u D R S_cls f E ∈ (SemanticCore.Class.cv (nb095AlphaDummy005 x u D R S_cls f E)).fv ∪ (SemanticCore.Class.cv (nb095AlphaDummy670 x u D R S_cls f E)).fv

theorem NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb095_support_mem_0733 (x u : SemanticCore.Var) (D R S_cls : SemanticCore.Class) (f : SemanticCore.Var) (E : SemanticCore.Class) : nb095AlphaDummy670 x u D R S_cls f E ∈ (Compiler.CompactSourceSyntax.synCcompl (SemanticCore.Class.cab (nb095AlphaDummy679 x u D R S_cls f E) (Compiler.CompactSourceSyntax.synWrex (nb095AlphaDummy680 x u D R S_cls f E) (SemanticCore.Class.cv (nb095AlphaDummy005 x u D R S_cls f E)) (SemanticCore.Wff.classEq (SemanticCore.Class.cv (nb095AlphaDummy679 x u D R S_cls f E)) (Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv (nb095AlphaDummy680 x u D R S_cls f E))))))).fv ∪ (Compiler.CompactSourceSyntax.synCcompl (SemanticCore.Class.cab (nb095AlphaDummy679 x u D R S_cls f E) (Compiler.CompactSourceSyntax.synWrex (nb095AlphaDummy680 x u D R S_cls f E) (SemanticCore.Class.cv (nb095AlphaDummy670 x u D R S_cls f E)) (SemanticCore.Wff.classEq (SemanticCore.Class.cv (nb095AlphaDummy679 x u D R S_cls f E)) (Compiler.CompactSourceSyntax.synCun (Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv (nb095AlphaDummy680 x u D R S_cls f E))) (Compiler.CompactSourceSyntax.synCsn Compiler.CompactSourceSyntax.synC0c)))))).fv

theorem NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb095_support_mem_0734 (D R S_cls E : SemanticCore.Class) : nb095AlphaDummy669 D R S_cls E ∈ (SemanticCore.Class.cab (nb095AlphaDummy677 D R S_cls E) (Compiler.CompactSourceSyntax.synWrex (nb095AlphaDummy678 D R S_cls E) (SemanticCore.Class.cv (nb095AlphaDummy669 D R S_cls E)) (SemanticCore.Wff.classEq (SemanticCore.Class.cv (nb095AlphaDummy677 D R S_cls E)) (Compiler.CompactSourceSyntax.synCun (Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv (nb095AlphaDummy678 D R S_cls E))) (Compiler.CompactSourceSyntax.synCsn Compiler.CompactSourceSyntax.synC0c))))).fv ∪ (SemanticCore.Class.cab (nb095AlphaDummy677 D R S_cls E) (Compiler.CompactSourceSyntax.synWrex (nb095AlphaDummy678 D R S_cls E) (SemanticCore.Class.cv (nb095AlphaDummy669 D R S_cls E)) (SemanticCore.Wff.classEq (SemanticCore.Class.cv (nb095AlphaDummy677 D R S_cls E)) (Compiler.CompactSourceSyntax.synCun (Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv (nb095AlphaDummy678 D R S_cls E))) (Compiler.CompactSourceSyntax.synCsn Compiler.CompactSourceSyntax.synC0c))))).fv

theorem NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb095_support_mem_0735 (x u : SemanticCore.Var) (D R S_cls : SemanticCore.Class) (f : SemanticCore.Var) (E : SemanticCore.Class) : nb095AlphaDummy670 x u D R S_cls f E ∈ (SemanticCore.Class.cab (nb095AlphaDummy679 x u D R S_cls f E) (Compiler.CompactSourceSyntax.synWrex (nb095AlphaDummy680 x u D R S_cls f E) (SemanticCore.Class.cv (nb095AlphaDummy670 x u D R S_cls f E)) (SemanticCore.Wff.classEq (SemanticCore.Class.cv (nb095AlphaDummy679 x u D R S_cls f E)) (Compiler.CompactSourceSyntax.synCun (Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv (nb095AlphaDummy680 x u D R S_cls f E))) (Compiler.CompactSourceSyntax.synCsn Compiler.CompactSourceSyntax.synC0c))))).fv ∪ (SemanticCore.Class.cab (nb095AlphaDummy679 x u D R S_cls f E) (Compiler.CompactSourceSyntax.synWrex (nb095AlphaDummy680 x u D R S_cls f E) (SemanticCore.Class.cv (nb095AlphaDummy670 x u D R S_cls f E)) (SemanticCore.Wff.classEq (SemanticCore.Class.cv (nb095AlphaDummy679 x u D R S_cls f E)) (Compiler.CompactSourceSyntax.synCun (Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv (nb095AlphaDummy680 x u D R S_cls f E))) (Compiler.CompactSourceSyntax.synCsn Compiler.CompactSourceSyntax.synC0c))))).fv

theorem NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb095_support_mem_0736 (D R S_cls E : SemanticCore.Class) : nb095AlphaDummy678 D R S_cls E ∈ (Compiler.CompactSourceSyntax.synCcompl (Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv (nb095AlphaDummy678 D R S_cls E)))).fv ∪ (Compiler.CompactSourceSyntax.synCcompl (Compiler.CompactSourceSyntax.synCsn Compiler.CompactSourceSyntax.synC0c)).fv

theorem NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb095_support_mem_0737 (x u : SemanticCore.Var) (D R S_cls : SemanticCore.Class) (f : SemanticCore.Var) (E : SemanticCore.Class) : nb095AlphaDummy680 x u D R S_cls f E ∈ (Compiler.CompactSourceSyntax.synCcompl (Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv (nb095AlphaDummy680 x u D R S_cls f E)))).fv ∪ (Compiler.CompactSourceSyntax.synCcompl (Compiler.CompactSourceSyntax.synCsn Compiler.CompactSourceSyntax.synC0c)).fv

theorem NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb095_support_mem_0738 (D R S_cls E : SemanticCore.Class) : nb095AlphaDummy678 D R S_cls E ∈ (Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv (nb095AlphaDummy678 D R S_cls E))).fv ∪ (Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv (nb095AlphaDummy678 D R S_cls E))).fv

theorem NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb095_support_mem_0739 (x u : SemanticCore.Var) (D R S_cls : SemanticCore.Class) (f : SemanticCore.Var) (E : SemanticCore.Class) : nb095AlphaDummy680 x u D R S_cls f E ∈ (Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv (nb095AlphaDummy680 x u D R S_cls f E))).fv ∪ (Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv (nb095AlphaDummy680 x u D R S_cls f E))).fv

theorem NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb095_support_mem_0740 (D R S_cls E : SemanticCore.Class) : nb095AlphaDummy000 D R S_cls E ∈ (SemanticCore.Class.cv (nb095AlphaDummy000 D R S_cls E)).fv ∪ (Compiler.CompactSourceSyntax.synCin R (Compiler.CompactSourceSyntax.synCxp (Compiler.CompactSourceSyntax.synCin D (Compiler.CompactSourceSyntax.synCima (Compiler.CompactSourceSyntax.synCcnv (Compiler.CompactSourceSyntax.synCdif R Compiler.CompactSourceSyntax.synCid)) (Compiler.CompactSourceSyntax.synCsn (SemanticCore.Class.cv (nb095AlphaDummy002 D R S_cls E))))) (Compiler.CompactSourceSyntax.synCin D (Compiler.CompactSourceSyntax.synCima (Compiler.CompactSourceSyntax.synCcnv (Compiler.CompactSourceSyntax.synCdif R Compiler.CompactSourceSyntax.synCid)) (Compiler.CompactSourceSyntax.synCsn (SemanticCore.Class.cv (nb095AlphaDummy002 D R S_cls E))))))).fv ∪ (Compiler.CompactSourceSyntax.synCin S_cls (Compiler.CompactSourceSyntax.synCxp (Compiler.CompactSourceSyntax.synCin E (Compiler.CompactSourceSyntax.synCima (Compiler.CompactSourceSyntax.synCcnv (Compiler.CompactSourceSyntax.synCdif S_cls Compiler.CompactSourceSyntax.synCid)) (Compiler.CompactSourceSyntax.synCsn (SemanticCore.Class.cv (nb095AlphaDummy001 D R S_cls E))))) (Compiler.CompactSourceSyntax.synCin E (Compiler.CompactSourceSyntax.synCima (Compiler.CompactSourceSyntax.synCcnv (Compiler.CompactSourceSyntax.synCdif S_cls Compiler.CompactSourceSyntax.synCid)) (Compiler.CompactSourceSyntax.synCsn (SemanticCore.Class.cv (nb095AlphaDummy001 D R S_cls E))))))).fv ∪ (Compiler.CompactSourceSyntax.synCin D (Compiler.CompactSourceSyntax.synCima (Compiler.CompactSourceSyntax.synCcnv (Compiler.CompactSourceSyntax.synCdif R Compiler.CompactSourceSyntax.synCid)) (Compiler.CompactSourceSyntax.synCsn (SemanticCore.Class.cv (nb095AlphaDummy002 D R S_cls E))))).fv ∪ (Compiler.CompactSourceSyntax.synCin E (Compiler.CompactSourceSyntax.synCima (Compiler.CompactSourceSyntax.synCcnv (Compiler.CompactSourceSyntax.synCdif S_cls Compiler.CompactSourceSyntax.synCid)) (Compiler.CompactSourceSyntax.synCsn (SemanticCore.Class.cv (nb095AlphaDummy001 D R S_cls E))))).fv

theorem NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb095_support_mem_0741 (x u : SemanticCore.Var) (D R S_cls : SemanticCore.Class) (f : SemanticCore.Var) (E : SemanticCore.Class) : f ∈ (SemanticCore.Class.cv f).fv ∪ (Compiler.CompactSourceSyntax.synCin R (Compiler.CompactSourceSyntax.synCxp (Compiler.CompactSourceSyntax.synCin D (Compiler.CompactSourceSyntax.synCima (Compiler.CompactSourceSyntax.synCcnv (Compiler.CompactSourceSyntax.synCdif R Compiler.CompactSourceSyntax.synCid)) (Compiler.CompactSourceSyntax.synCsn (SemanticCore.Class.cv x)))) (Compiler.CompactSourceSyntax.synCin D (Compiler.CompactSourceSyntax.synCima (Compiler.CompactSourceSyntax.synCcnv (Compiler.CompactSourceSyntax.synCdif R Compiler.CompactSourceSyntax.synCid)) (Compiler.CompactSourceSyntax.synCsn (SemanticCore.Class.cv x)))))).fv ∪ (Compiler.CompactSourceSyntax.synCin S_cls (Compiler.CompactSourceSyntax.synCxp (Compiler.CompactSourceSyntax.synCin E (Compiler.CompactSourceSyntax.synCima (Compiler.CompactSourceSyntax.synCcnv (Compiler.CompactSourceSyntax.synCdif S_cls Compiler.CompactSourceSyntax.synCid)) (Compiler.CompactSourceSyntax.synCsn (SemanticCore.Class.cv u)))) (Compiler.CompactSourceSyntax.synCin E (Compiler.CompactSourceSyntax.synCima (Compiler.CompactSourceSyntax.synCcnv (Compiler.CompactSourceSyntax.synCdif S_cls Compiler.CompactSourceSyntax.synCid)) (Compiler.CompactSourceSyntax.synCsn (SemanticCore.Class.cv u)))))).fv ∪ (Compiler.CompactSourceSyntax.synCin D (Compiler.CompactSourceSyntax.synCima (Compiler.CompactSourceSyntax.synCcnv (Compiler.CompactSourceSyntax.synCdif R Compiler.CompactSourceSyntax.synCid)) (Compiler.CompactSourceSyntax.synCsn (SemanticCore.Class.cv x)))).fv ∪ (Compiler.CompactSourceSyntax.synCin E (Compiler.CompactSourceSyntax.synCima (Compiler.CompactSourceSyntax.synCcnv (Compiler.CompactSourceSyntax.synCdif S_cls Compiler.CompactSourceSyntax.synCid)) (Compiler.CompactSourceSyntax.synCsn (SemanticCore.Class.cv u)))).fv

theorem NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb095_support_mem_0742 (D R S_cls E : SemanticCore.Class) : nb095AlphaDummy000 D R S_cls E ∈ (Compiler.CompactSourceSyntax.synCfv (SemanticCore.Class.cv (nb095AlphaDummy000 D R S_cls E)) (SemanticCore.Class.cv (nb095AlphaDummy003 D R S_cls E))).fv ∪ (Compiler.CompactSourceSyntax.synCfv (SemanticCore.Class.cv (nb095AlphaDummy000 D R S_cls E)) (SemanticCore.Class.cv (nb095AlphaDummy004 D R S_cls E))).fv

theorem NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb095_support_mem_0743 (D R S_cls E : SemanticCore.Class) : nb095AlphaDummy000 D R S_cls E ∈ (Compiler.CompactSourceSyntax.synCcompl (SemanticCore.Class.cab (nb095AlphaDummy661 D R S_cls E) (Compiler.CompactSourceSyntax.synWrex (nb095AlphaDummy662 D R S_cls E) (Compiler.CompactSourceSyntax.synCfv (SemanticCore.Class.cv (nb095AlphaDummy000 D R S_cls E)) (SemanticCore.Class.cv (nb095AlphaDummy003 D R S_cls E))) (SemanticCore.Wff.classEq (SemanticCore.Class.cv (nb095AlphaDummy661 D R S_cls E)) (Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv (nb095AlphaDummy662 D R S_cls E))))))).fv ∪ (Compiler.CompactSourceSyntax.synCcompl (SemanticCore.Class.cab (nb095AlphaDummy661 D R S_cls E) (Compiler.CompactSourceSyntax.synWrex (nb095AlphaDummy662 D R S_cls E) (Compiler.CompactSourceSyntax.synCfv (SemanticCore.Class.cv (nb095AlphaDummy000 D R S_cls E)) (SemanticCore.Class.cv (nb095AlphaDummy004 D R S_cls E))) (SemanticCore.Wff.classEq (SemanticCore.Class.cv (nb095AlphaDummy661 D R S_cls E)) (Compiler.CompactSourceSyntax.synCun (Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv (nb095AlphaDummy662 D R S_cls E))) (Compiler.CompactSourceSyntax.synCsn Compiler.CompactSourceSyntax.synC0c)))))).fv

theorem NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb095_support_mem_0744 (x u : SemanticCore.Var) (D R S_cls : SemanticCore.Class) (f : SemanticCore.Var) (E : SemanticCore.Class) : f ∈ (Compiler.CompactSourceSyntax.synCfv (SemanticCore.Class.cv f) (SemanticCore.Class.cv (nb095AlphaDummy005 x u D R S_cls f E))).fv ∪ (Compiler.CompactSourceSyntax.synCfv (SemanticCore.Class.cv f) (SemanticCore.Class.cv (nb095AlphaDummy006 x u D R S_cls f E))).fv

theorem NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb095_support_mem_0745 (x u : SemanticCore.Var) (D R S_cls : SemanticCore.Class) (f : SemanticCore.Var) (E : SemanticCore.Class) : f ∈ (Compiler.CompactSourceSyntax.synCcompl (SemanticCore.Class.cab (nb095AlphaDummy663 x u D R S_cls f E) (Compiler.CompactSourceSyntax.synWrex (nb095AlphaDummy664 x u D R S_cls f E) (Compiler.CompactSourceSyntax.synCfv (SemanticCore.Class.cv f) (SemanticCore.Class.cv (nb095AlphaDummy005 x u D R S_cls f E))) (SemanticCore.Wff.classEq (SemanticCore.Class.cv (nb095AlphaDummy663 x u D R S_cls f E)) (Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv (nb095AlphaDummy664 x u D R S_cls f E))))))).fv ∪ (Compiler.CompactSourceSyntax.synCcompl (SemanticCore.Class.cab (nb095AlphaDummy663 x u D R S_cls f E) (Compiler.CompactSourceSyntax.synWrex (nb095AlphaDummy664 x u D R S_cls f E) (Compiler.CompactSourceSyntax.synCfv (SemanticCore.Class.cv f) (SemanticCore.Class.cv (nb095AlphaDummy006 x u D R S_cls f E))) (SemanticCore.Wff.classEq (SemanticCore.Class.cv (nb095AlphaDummy663 x u D R S_cls f E)) (Compiler.CompactSourceSyntax.synCun (Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv (nb095AlphaDummy664 x u D R S_cls f E))) (Compiler.CompactSourceSyntax.synCsn Compiler.CompactSourceSyntax.synC0c)))))).fv

theorem NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb095_support_mem_0746 (D R S_cls E : SemanticCore.Class) : nb095AlphaDummy000 D R S_cls E ∈ (SemanticCore.Class.cab (nb095AlphaDummy661 D R S_cls E) (Compiler.CompactSourceSyntax.synWrex (nb095AlphaDummy662 D R S_cls E) (Compiler.CompactSourceSyntax.synCfv (SemanticCore.Class.cv (nb095AlphaDummy000 D R S_cls E)) (SemanticCore.Class.cv (nb095AlphaDummy003 D R S_cls E))) (SemanticCore.Wff.classEq (SemanticCore.Class.cv (nb095AlphaDummy661 D R S_cls E)) (Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv (nb095AlphaDummy662 D R S_cls E)))))).fv ∪ (SemanticCore.Class.cab (nb095AlphaDummy661 D R S_cls E) (Compiler.CompactSourceSyntax.synWrex (nb095AlphaDummy662 D R S_cls E) (Compiler.CompactSourceSyntax.synCfv (SemanticCore.Class.cv (nb095AlphaDummy000 D R S_cls E)) (SemanticCore.Class.cv (nb095AlphaDummy003 D R S_cls E))) (SemanticCore.Wff.classEq (SemanticCore.Class.cv (nb095AlphaDummy661 D R S_cls E)) (Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv (nb095AlphaDummy662 D R S_cls E)))))).fv

theorem NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb095_support_mem_0747 (x u : SemanticCore.Var) (D R S_cls : SemanticCore.Class) (f : SemanticCore.Var) (E : SemanticCore.Class) : f ∈ (SemanticCore.Class.cab (nb095AlphaDummy663 x u D R S_cls f E) (Compiler.CompactSourceSyntax.synWrex (nb095AlphaDummy664 x u D R S_cls f E) (Compiler.CompactSourceSyntax.synCfv (SemanticCore.Class.cv f) (SemanticCore.Class.cv (nb095AlphaDummy005 x u D R S_cls f E))) (SemanticCore.Wff.classEq (SemanticCore.Class.cv (nb095AlphaDummy663 x u D R S_cls f E)) (Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv (nb095AlphaDummy664 x u D R S_cls f E)))))).fv ∪ (SemanticCore.Class.cab (nb095AlphaDummy663 x u D R S_cls f E) (Compiler.CompactSourceSyntax.synWrex (nb095AlphaDummy664 x u D R S_cls f E) (Compiler.CompactSourceSyntax.synCfv (SemanticCore.Class.cv f) (SemanticCore.Class.cv (nb095AlphaDummy005 x u D R S_cls f E))) (SemanticCore.Wff.classEq (SemanticCore.Class.cv (nb095AlphaDummy663 x u D R S_cls f E)) (Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv (nb095AlphaDummy664 x u D R S_cls f E)))))).fv

theorem NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb095_support_mem_0748 (D R S_cls E : SemanticCore.Class) : nb095AlphaDummy000 D R S_cls E ∈ (SemanticCore.Class.cv (nb095AlphaDummy000 D R S_cls E)).fv ∪ (SemanticCore.Class.cv (nb095AlphaDummy003 D R S_cls E)).fv

theorem NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb095_support_mem_0749 (D R S_cls E : SemanticCore.Class) : nb095AlphaDummy000 D R S_cls E ∈ {nb095AlphaDummy669 D R S_cls E} ∪ (Compiler.CompactSourceSyntax.synWbr (SemanticCore.Class.cv (nb095AlphaDummy003 D R S_cls E)) (SemanticCore.Class.cv (nb095AlphaDummy000 D R S_cls E)) (SemanticCore.Class.cv (nb095AlphaDummy669 D R S_cls E))).fv

theorem NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb095_support_mem_0750 (D R S_cls E : SemanticCore.Class) : nb095AlphaDummy000 D R S_cls E ∈ (SemanticCore.Class.cab (nb095AlphaDummy671 D R S_cls E) (SemanticCore.Wff.classEq (SemanticCore.Class.cab (nb095AlphaDummy669 D R S_cls E) (Compiler.CompactSourceSyntax.synWbr (SemanticCore.Class.cv (nb095AlphaDummy003 D R S_cls E)) (SemanticCore.Class.cv (nb095AlphaDummy000 D R S_cls E)) (SemanticCore.Class.cv (nb095AlphaDummy669 D R S_cls E)))) (Compiler.CompactSourceSyntax.synCsn (SemanticCore.Class.cv (nb095AlphaDummy671 D R S_cls E))))).fv

theorem NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb095_support_mem_0751 (x u : SemanticCore.Var) (D R S_cls : SemanticCore.Class) (f : SemanticCore.Var) (E : SemanticCore.Class) : f ∈ (SemanticCore.Class.cv f).fv ∪ (SemanticCore.Class.cv (nb095AlphaDummy005 x u D R S_cls f E)).fv

theorem NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb095_support_mem_0752 (x u : SemanticCore.Var) (D R S_cls : SemanticCore.Class) (f : SemanticCore.Var) (E : SemanticCore.Class) : f ∈ {nb095AlphaDummy670 x u D R S_cls f E} ∪ (Compiler.CompactSourceSyntax.synWbr (SemanticCore.Class.cv (nb095AlphaDummy005 x u D R S_cls f E)) (SemanticCore.Class.cv f) (SemanticCore.Class.cv (nb095AlphaDummy670 x u D R S_cls f E))).fv

theorem NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb095_support_mem_0753 (x u : SemanticCore.Var) (D R S_cls : SemanticCore.Class) (f : SemanticCore.Var) (E : SemanticCore.Class) : f ∈ (SemanticCore.Class.cab (nb095AlphaDummy672 x u D R S_cls f E) (SemanticCore.Wff.classEq (SemanticCore.Class.cab (nb095AlphaDummy670 x u D R S_cls f E) (Compiler.CompactSourceSyntax.synWbr (SemanticCore.Class.cv (nb095AlphaDummy005 x u D R S_cls f E)) (SemanticCore.Class.cv f) (SemanticCore.Class.cv (nb095AlphaDummy670 x u D R S_cls f E)))) (Compiler.CompactSourceSyntax.synCsn (SemanticCore.Class.cv (nb095AlphaDummy672 x u D R S_cls f E))))).fv

theorem NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb095_support_mem_0754 (D R S_cls E : SemanticCore.Class) : nb095AlphaDummy671 D R S_cls E ∈ (SemanticCore.Class.cv (nb095AlphaDummy671 D R S_cls E)).fv

theorem NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb095_support_mem_0755 (x u : SemanticCore.Var) (D R S_cls : SemanticCore.Class) (f : SemanticCore.Var) (E : SemanticCore.Class) : nb095AlphaDummy672 x u D R S_cls f E ∈ (SemanticCore.Class.cv (nb095AlphaDummy672 x u D R S_cls f E)).fv

theorem NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb095_support_mem_0756 (D R S_cls E : SemanticCore.Class) : nb095AlphaDummy662 D R S_cls E ∈ (SemanticCore.Class.cv (nb095AlphaDummy662 D R S_cls E)).fv

theorem NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb095_support_mem_0757 (x u : SemanticCore.Var) (D R S_cls : SemanticCore.Class) (f : SemanticCore.Var) (E : SemanticCore.Class) : nb095AlphaDummy664 x u D R S_cls f E ∈ (SemanticCore.Class.cv (nb095AlphaDummy664 x u D R S_cls f E)).fv

theorem NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb095_support_mem_0758 (D R S_cls E : SemanticCore.Class) : nb095AlphaDummy715 D R S_cls E ∈ (SemanticCore.Wff.classMem (SemanticCore.Class.cv (nb095AlphaDummy715 D R S_cls E)) Compiler.CompactSourceSyntax.synCnnc).fv ∪ (Compiler.CompactSourceSyntax.synCplc (SemanticCore.Class.cv (nb095AlphaDummy715 D R S_cls E)) Compiler.CompactSourceSyntax.synC1c).fv ∪ (SemanticCore.Class.cv (nb095AlphaDummy715 D R S_cls E)).fv

theorem NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb095_support_mem_0759 (x u : SemanticCore.Var) (D R S_cls : SemanticCore.Class) (f : SemanticCore.Var) (E : SemanticCore.Class) : nb095AlphaDummy717 x u D R S_cls f E ∈ (SemanticCore.Wff.classMem (SemanticCore.Class.cv (nb095AlphaDummy717 x u D R S_cls f E)) Compiler.CompactSourceSyntax.synCnnc).fv ∪ (Compiler.CompactSourceSyntax.synCplc (SemanticCore.Class.cv (nb095AlphaDummy717 x u D R S_cls f E)) Compiler.CompactSourceSyntax.synC1c).fv ∪ (SemanticCore.Class.cv (nb095AlphaDummy717 x u D R S_cls f E)).fv

theorem NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb095_support_mem_0760 (D R S_cls E : SemanticCore.Class) : nb095AlphaDummy715 D R S_cls E ∈ (SemanticCore.Class.cv (nb095AlphaDummy715 D R S_cls E)).fv ∪ Compiler.CompactSourceSyntax.synC1c.fv

theorem NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb095_support_mem_0761 (x u : SemanticCore.Var) (D R S_cls : SemanticCore.Class) (f : SemanticCore.Var) (E : SemanticCore.Class) : nb095AlphaDummy717 x u D R S_cls f E ∈ (SemanticCore.Class.cv (nb095AlphaDummy717 x u D R S_cls f E)).fv ∪ Compiler.CompactSourceSyntax.synC1c.fv

theorem NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb095_support_mem_0762 (D R S_cls E : SemanticCore.Class) : nb095AlphaDummy722 D R S_cls E ∈ (Compiler.CompactSourceSyntax.synCnin (SemanticCore.Class.cv (nb095AlphaDummy722 D R S_cls E)) (SemanticCore.Class.cv (nb095AlphaDummy723 D R S_cls E))).fv ∪ (Compiler.CompactSourceSyntax.synCnin (SemanticCore.Class.cv (nb095AlphaDummy722 D R S_cls E)) (SemanticCore.Class.cv (nb095AlphaDummy723 D R S_cls E))).fv

theorem NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb095_support_mem_0763 (x u : SemanticCore.Var) (D R S_cls : SemanticCore.Class) (f : SemanticCore.Var) (E : SemanticCore.Class) : nb095AlphaDummy725 x u D R S_cls f E ∈ (Compiler.CompactSourceSyntax.synCnin (SemanticCore.Class.cv (nb095AlphaDummy725 x u D R S_cls f E)) (SemanticCore.Class.cv (nb095AlphaDummy726 x u D R S_cls f E))).fv ∪ (Compiler.CompactSourceSyntax.synCnin (SemanticCore.Class.cv (nb095AlphaDummy725 x u D R S_cls f E)) (SemanticCore.Class.cv (nb095AlphaDummy726 x u D R S_cls f E))).fv

theorem NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb095_support_mem_0764 (D R S_cls E : SemanticCore.Class) : nb095AlphaDummy722 D R S_cls E ∈ (SemanticCore.Class.cv (nb095AlphaDummy722 D R S_cls E)).fv ∪ (SemanticCore.Class.cv (nb095AlphaDummy723 D R S_cls E)).fv

theorem NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb095_support_mem_0765 (x u : SemanticCore.Var) (D R S_cls : SemanticCore.Class) (f : SemanticCore.Var) (E : SemanticCore.Class) : nb095AlphaDummy725 x u D R S_cls f E ∈ (SemanticCore.Class.cv (nb095AlphaDummy725 x u D R S_cls f E)).fv ∪ (SemanticCore.Class.cv (nb095AlphaDummy726 x u D R S_cls f E)).fv

theorem NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb095_support_mem_0766 (D R S_cls E : SemanticCore.Class) : nb095AlphaDummy723 D R S_cls E ∈ (Compiler.CompactSourceSyntax.synCnin (SemanticCore.Class.cv (nb095AlphaDummy722 D R S_cls E)) (SemanticCore.Class.cv (nb095AlphaDummy723 D R S_cls E))).fv ∪ (Compiler.CompactSourceSyntax.synCnin (SemanticCore.Class.cv (nb095AlphaDummy722 D R S_cls E)) (SemanticCore.Class.cv (nb095AlphaDummy723 D R S_cls E))).fv

theorem NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb095_support_mem_0767 (x u : SemanticCore.Var) (D R S_cls : SemanticCore.Class) (f : SemanticCore.Var) (E : SemanticCore.Class) : nb095AlphaDummy726 x u D R S_cls f E ∈ (Compiler.CompactSourceSyntax.synCnin (SemanticCore.Class.cv (nb095AlphaDummy725 x u D R S_cls f E)) (SemanticCore.Class.cv (nb095AlphaDummy726 x u D R S_cls f E))).fv ∪ (Compiler.CompactSourceSyntax.synCnin (SemanticCore.Class.cv (nb095AlphaDummy725 x u D R S_cls f E)) (SemanticCore.Class.cv (nb095AlphaDummy726 x u D R S_cls f E))).fv

theorem NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb095_support_mem_0768 (D R S_cls E : SemanticCore.Class) : nb095AlphaDummy723 D R S_cls E ∈ (SemanticCore.Class.cv (nb095AlphaDummy722 D R S_cls E)).fv ∪ (SemanticCore.Class.cv (nb095AlphaDummy723 D R S_cls E)).fv

theorem NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb095_support_mem_0769 (x u : SemanticCore.Var) (D R S_cls : SemanticCore.Class) (f : SemanticCore.Var) (E : SemanticCore.Class) : nb095AlphaDummy726 x u D R S_cls f E ∈ (SemanticCore.Class.cv (nb095AlphaDummy725 x u D R S_cls f E)).fv ∪ (SemanticCore.Class.cv (nb095AlphaDummy726 x u D R S_cls f E)).fv

theorem NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb095_support_mem_0770 (D R S_cls E : SemanticCore.Class) : nb095AlphaDummy722 D R S_cls E ∈ (Compiler.CompactSourceSyntax.synCcompl (SemanticCore.Class.cv (nb095AlphaDummy722 D R S_cls E))).fv ∪ (Compiler.CompactSourceSyntax.synCcompl (SemanticCore.Class.cv (nb095AlphaDummy723 D R S_cls E))).fv

theorem NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb095_support_mem_0771 (x u : SemanticCore.Var) (D R S_cls : SemanticCore.Class) (f : SemanticCore.Var) (E : SemanticCore.Class) : nb095AlphaDummy725 x u D R S_cls f E ∈ (Compiler.CompactSourceSyntax.synCcompl (SemanticCore.Class.cv (nb095AlphaDummy725 x u D R S_cls f E))).fv ∪ (Compiler.CompactSourceSyntax.synCcompl (SemanticCore.Class.cv (nb095AlphaDummy726 x u D R S_cls f E))).fv

theorem NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb095_support_mem_0772 (D R S_cls E : SemanticCore.Class) : nb095AlphaDummy722 D R S_cls E ∈ (SemanticCore.Class.cv (nb095AlphaDummy722 D R S_cls E)).fv ∪ (SemanticCore.Class.cv (nb095AlphaDummy722 D R S_cls E)).fv

theorem NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb095_support_mem_0773 (x u : SemanticCore.Var) (D R S_cls : SemanticCore.Class) (f : SemanticCore.Var) (E : SemanticCore.Class) : nb095AlphaDummy725 x u D R S_cls f E ∈ (SemanticCore.Class.cv (nb095AlphaDummy725 x u D R S_cls f E)).fv ∪ (SemanticCore.Class.cv (nb095AlphaDummy725 x u D R S_cls f E)).fv

theorem NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb095_support_mem_0774 (D R S_cls E : SemanticCore.Class) : nb095AlphaDummy723 D R S_cls E ∈ (Compiler.CompactSourceSyntax.synCcompl (SemanticCore.Class.cv (nb095AlphaDummy722 D R S_cls E))).fv ∪ (Compiler.CompactSourceSyntax.synCcompl (SemanticCore.Class.cv (nb095AlphaDummy723 D R S_cls E))).fv

theorem NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb095_support_mem_0775 (x u : SemanticCore.Var) (D R S_cls : SemanticCore.Class) (f : SemanticCore.Var) (E : SemanticCore.Class) : nb095AlphaDummy726 x u D R S_cls f E ∈ (Compiler.CompactSourceSyntax.synCcompl (SemanticCore.Class.cv (nb095AlphaDummy725 x u D R S_cls f E))).fv ∪ (Compiler.CompactSourceSyntax.synCcompl (SemanticCore.Class.cv (nb095AlphaDummy726 x u D R S_cls f E))).fv

theorem NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb095_support_mem_0776 (D R S_cls E : SemanticCore.Class) : nb095AlphaDummy723 D R S_cls E ∈ (SemanticCore.Class.cv (nb095AlphaDummy723 D R S_cls E)).fv ∪ (SemanticCore.Class.cv (nb095AlphaDummy723 D R S_cls E)).fv

theorem NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb095_support_mem_0777 (x u : SemanticCore.Var) (D R S_cls : SemanticCore.Class) (f : SemanticCore.Var) (E : SemanticCore.Class) : nb095AlphaDummy726 x u D R S_cls f E ∈ (SemanticCore.Class.cv (nb095AlphaDummy726 x u D R S_cls f E)).fv ∪ (SemanticCore.Class.cv (nb095AlphaDummy726 x u D R S_cls f E)).fv

theorem NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb095_support_mem_0778 (D R S_cls E : SemanticCore.Class) : nb095AlphaDummy004 D R S_cls E ∈ (Compiler.CompactSourceSyntax.synCfv (SemanticCore.Class.cv (nb095AlphaDummy000 D R S_cls E)) (SemanticCore.Class.cv (nb095AlphaDummy003 D R S_cls E))).fv ∪ (Compiler.CompactSourceSyntax.synCfv (SemanticCore.Class.cv (nb095AlphaDummy000 D R S_cls E)) (SemanticCore.Class.cv (nb095AlphaDummy004 D R S_cls E))).fv

theorem NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb095_support_mem_0779 (D R S_cls E : SemanticCore.Class) : nb095AlphaDummy004 D R S_cls E ∈ (Compiler.CompactSourceSyntax.synCcompl (SemanticCore.Class.cab (nb095AlphaDummy661 D R S_cls E) (Compiler.CompactSourceSyntax.synWrex (nb095AlphaDummy662 D R S_cls E) (Compiler.CompactSourceSyntax.synCfv (SemanticCore.Class.cv (nb095AlphaDummy000 D R S_cls E)) (SemanticCore.Class.cv (nb095AlphaDummy003 D R S_cls E))) (SemanticCore.Wff.classEq (SemanticCore.Class.cv (nb095AlphaDummy661 D R S_cls E)) (Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv (nb095AlphaDummy662 D R S_cls E))))))).fv ∪ (Compiler.CompactSourceSyntax.synCcompl (SemanticCore.Class.cab (nb095AlphaDummy661 D R S_cls E) (Compiler.CompactSourceSyntax.synWrex (nb095AlphaDummy662 D R S_cls E) (Compiler.CompactSourceSyntax.synCfv (SemanticCore.Class.cv (nb095AlphaDummy000 D R S_cls E)) (SemanticCore.Class.cv (nb095AlphaDummy004 D R S_cls E))) (SemanticCore.Wff.classEq (SemanticCore.Class.cv (nb095AlphaDummy661 D R S_cls E)) (Compiler.CompactSourceSyntax.synCun (Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv (nb095AlphaDummy662 D R S_cls E))) (Compiler.CompactSourceSyntax.synCsn Compiler.CompactSourceSyntax.synC0c)))))).fv

theorem NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb095_support_mem_0780 (x u : SemanticCore.Var) (D R S_cls : SemanticCore.Class) (f : SemanticCore.Var) (E : SemanticCore.Class) : nb095AlphaDummy006 x u D R S_cls f E ∈ (Compiler.CompactSourceSyntax.synCfv (SemanticCore.Class.cv f) (SemanticCore.Class.cv (nb095AlphaDummy005 x u D R S_cls f E))).fv ∪ (Compiler.CompactSourceSyntax.synCfv (SemanticCore.Class.cv f) (SemanticCore.Class.cv (nb095AlphaDummy006 x u D R S_cls f E))).fv

theorem NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb095_support_mem_0781 (x u : SemanticCore.Var) (D R S_cls : SemanticCore.Class) (f : SemanticCore.Var) (E : SemanticCore.Class) : nb095AlphaDummy006 x u D R S_cls f E ∈ (Compiler.CompactSourceSyntax.synCcompl (SemanticCore.Class.cab (nb095AlphaDummy663 x u D R S_cls f E) (Compiler.CompactSourceSyntax.synWrex (nb095AlphaDummy664 x u D R S_cls f E) (Compiler.CompactSourceSyntax.synCfv (SemanticCore.Class.cv f) (SemanticCore.Class.cv (nb095AlphaDummy005 x u D R S_cls f E))) (SemanticCore.Wff.classEq (SemanticCore.Class.cv (nb095AlphaDummy663 x u D R S_cls f E)) (Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv (nb095AlphaDummy664 x u D R S_cls f E))))))).fv ∪ (Compiler.CompactSourceSyntax.synCcompl (SemanticCore.Class.cab (nb095AlphaDummy663 x u D R S_cls f E) (Compiler.CompactSourceSyntax.synWrex (nb095AlphaDummy664 x u D R S_cls f E) (Compiler.CompactSourceSyntax.synCfv (SemanticCore.Class.cv f) (SemanticCore.Class.cv (nb095AlphaDummy006 x u D R S_cls f E))) (SemanticCore.Wff.classEq (SemanticCore.Class.cv (nb095AlphaDummy663 x u D R S_cls f E)) (Compiler.CompactSourceSyntax.synCun (Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv (nb095AlphaDummy664 x u D R S_cls f E))) (Compiler.CompactSourceSyntax.synCsn Compiler.CompactSourceSyntax.synC0c)))))).fv

theorem NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb095_support_mem_0782 (D R S_cls E : SemanticCore.Class) : nb095AlphaDummy004 D R S_cls E ∈ (SemanticCore.Class.cab (nb095AlphaDummy661 D R S_cls E) (Compiler.CompactSourceSyntax.synWrex (nb095AlphaDummy662 D R S_cls E) (Compiler.CompactSourceSyntax.synCfv (SemanticCore.Class.cv (nb095AlphaDummy000 D R S_cls E)) (SemanticCore.Class.cv (nb095AlphaDummy004 D R S_cls E))) (SemanticCore.Wff.classEq (SemanticCore.Class.cv (nb095AlphaDummy661 D R S_cls E)) (Compiler.CompactSourceSyntax.synCun (Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv (nb095AlphaDummy662 D R S_cls E))) (Compiler.CompactSourceSyntax.synCsn Compiler.CompactSourceSyntax.synC0c))))).fv ∪ (SemanticCore.Class.cab (nb095AlphaDummy661 D R S_cls E) (Compiler.CompactSourceSyntax.synWrex (nb095AlphaDummy662 D R S_cls E) (Compiler.CompactSourceSyntax.synCfv (SemanticCore.Class.cv (nb095AlphaDummy000 D R S_cls E)) (SemanticCore.Class.cv (nb095AlphaDummy004 D R S_cls E))) (SemanticCore.Wff.classEq (SemanticCore.Class.cv (nb095AlphaDummy661 D R S_cls E)) (Compiler.CompactSourceSyntax.synCun (Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv (nb095AlphaDummy662 D R S_cls E))) (Compiler.CompactSourceSyntax.synCsn Compiler.CompactSourceSyntax.synC0c))))).fv

theorem NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb095_support_mem_0783 (x u : SemanticCore.Var) (D R S_cls : SemanticCore.Class) (f : SemanticCore.Var) (E : SemanticCore.Class) : nb095AlphaDummy006 x u D R S_cls f E ∈ (SemanticCore.Class.cab (nb095AlphaDummy663 x u D R S_cls f E) (Compiler.CompactSourceSyntax.synWrex (nb095AlphaDummy664 x u D R S_cls f E) (Compiler.CompactSourceSyntax.synCfv (SemanticCore.Class.cv f) (SemanticCore.Class.cv (nb095AlphaDummy006 x u D R S_cls f E))) (SemanticCore.Wff.classEq (SemanticCore.Class.cv (nb095AlphaDummy663 x u D R S_cls f E)) (Compiler.CompactSourceSyntax.synCun (Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv (nb095AlphaDummy664 x u D R S_cls f E))) (Compiler.CompactSourceSyntax.synCsn Compiler.CompactSourceSyntax.synC0c))))).fv ∪ (SemanticCore.Class.cab (nb095AlphaDummy663 x u D R S_cls f E) (Compiler.CompactSourceSyntax.synWrex (nb095AlphaDummy664 x u D R S_cls f E) (Compiler.CompactSourceSyntax.synCfv (SemanticCore.Class.cv f) (SemanticCore.Class.cv (nb095AlphaDummy006 x u D R S_cls f E))) (SemanticCore.Wff.classEq (SemanticCore.Class.cv (nb095AlphaDummy663 x u D R S_cls f E)) (Compiler.CompactSourceSyntax.synCun (Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv (nb095AlphaDummy664 x u D R S_cls f E))) (Compiler.CompactSourceSyntax.synCsn Compiler.CompactSourceSyntax.synC0c))))).fv

theorem NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb095_support_mem_0784 (D R S_cls E : SemanticCore.Class) : nb095AlphaDummy004 D R S_cls E ∈ (SemanticCore.Class.cv (nb095AlphaDummy000 D R S_cls E)).fv ∪ (SemanticCore.Class.cv (nb095AlphaDummy004 D R S_cls E)).fv

theorem NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb095_support_mem_0785 (D R S_cls E : SemanticCore.Class) : nb095AlphaDummy004 D R S_cls E ∈ {nb095AlphaDummy739 D R S_cls E} ∪ (Compiler.CompactSourceSyntax.synWbr (SemanticCore.Class.cv (nb095AlphaDummy004 D R S_cls E)) (SemanticCore.Class.cv (nb095AlphaDummy000 D R S_cls E)) (SemanticCore.Class.cv (nb095AlphaDummy739 D R S_cls E))).fv

theorem NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb095_support_mem_0786 (D R S_cls E : SemanticCore.Class) : nb095AlphaDummy004 D R S_cls E ∈ (SemanticCore.Class.cab (nb095AlphaDummy741 D R S_cls E) (SemanticCore.Wff.classEq (SemanticCore.Class.cab (nb095AlphaDummy739 D R S_cls E) (Compiler.CompactSourceSyntax.synWbr (SemanticCore.Class.cv (nb095AlphaDummy004 D R S_cls E)) (SemanticCore.Class.cv (nb095AlphaDummy000 D R S_cls E)) (SemanticCore.Class.cv (nb095AlphaDummy739 D R S_cls E)))) (Compiler.CompactSourceSyntax.synCsn (SemanticCore.Class.cv (nb095AlphaDummy741 D R S_cls E))))).fv

theorem NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb095_support_mem_0787 (x u : SemanticCore.Var) (D R S_cls : SemanticCore.Class) (f : SemanticCore.Var) (E : SemanticCore.Class) : nb095AlphaDummy006 x u D R S_cls f E ∈ (SemanticCore.Class.cv f).fv ∪ (SemanticCore.Class.cv (nb095AlphaDummy006 x u D R S_cls f E)).fv

theorem NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb095_support_mem_0788 (x u : SemanticCore.Var) (D R S_cls : SemanticCore.Class) (f : SemanticCore.Var) (E : SemanticCore.Class) : nb095AlphaDummy006 x u D R S_cls f E ∈ {nb095AlphaDummy740 x u D R S_cls f E} ∪ (Compiler.CompactSourceSyntax.synWbr (SemanticCore.Class.cv (nb095AlphaDummy006 x u D R S_cls f E)) (SemanticCore.Class.cv f) (SemanticCore.Class.cv (nb095AlphaDummy740 x u D R S_cls f E))).fv

theorem NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb095_support_mem_0789 (x u : SemanticCore.Var) (D R S_cls : SemanticCore.Class) (f : SemanticCore.Var) (E : SemanticCore.Class) : nb095AlphaDummy006 x u D R S_cls f E ∈ (SemanticCore.Class.cab (nb095AlphaDummy742 x u D R S_cls f E) (SemanticCore.Wff.classEq (SemanticCore.Class.cab (nb095AlphaDummy740 x u D R S_cls f E) (Compiler.CompactSourceSyntax.synWbr (SemanticCore.Class.cv (nb095AlphaDummy006 x u D R S_cls f E)) (SemanticCore.Class.cv f) (SemanticCore.Class.cv (nb095AlphaDummy740 x u D R S_cls f E)))) (Compiler.CompactSourceSyntax.synCsn (SemanticCore.Class.cv (nb095AlphaDummy742 x u D R S_cls f E))))).fv

theorem NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb095_support_mem_0790 (D R S_cls E : SemanticCore.Class) : nb095AlphaDummy004 D R S_cls E ∈ (SemanticCore.Class.cv (nb095AlphaDummy004 D R S_cls E)).fv ∪ (SemanticCore.Class.cv (nb095AlphaDummy739 D R S_cls E)).fv

theorem NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb095_support_mem_0791 (D R S_cls E : SemanticCore.Class) : nb095AlphaDummy004 D R S_cls E ∈ (Compiler.CompactSourceSyntax.synCcompl (SemanticCore.Class.cab (nb095AlphaDummy747 D R S_cls E) (Compiler.CompactSourceSyntax.synWrex (nb095AlphaDummy748 D R S_cls E) (SemanticCore.Class.cv (nb095AlphaDummy004 D R S_cls E)) (SemanticCore.Wff.classEq (SemanticCore.Class.cv (nb095AlphaDummy747 D R S_cls E)) (Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv (nb095AlphaDummy748 D R S_cls E))))))).fv ∪ (Compiler.CompactSourceSyntax.synCcompl (SemanticCore.Class.cab (nb095AlphaDummy747 D R S_cls E) (Compiler.CompactSourceSyntax.synWrex (nb095AlphaDummy748 D R S_cls E) (SemanticCore.Class.cv (nb095AlphaDummy739 D R S_cls E)) (SemanticCore.Wff.classEq (SemanticCore.Class.cv (nb095AlphaDummy747 D R S_cls E)) (Compiler.CompactSourceSyntax.synCun (Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv (nb095AlphaDummy748 D R S_cls E))) (Compiler.CompactSourceSyntax.synCsn Compiler.CompactSourceSyntax.synC0c)))))).fv

theorem NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb095_support_mem_0792 (x u : SemanticCore.Var) (D R S_cls : SemanticCore.Class) (f : SemanticCore.Var) (E : SemanticCore.Class) : nb095AlphaDummy006 x u D R S_cls f E ∈ (SemanticCore.Class.cv (nb095AlphaDummy006 x u D R S_cls f E)).fv ∪ (SemanticCore.Class.cv (nb095AlphaDummy740 x u D R S_cls f E)).fv

theorem NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb095_support_mem_0793 (x u : SemanticCore.Var) (D R S_cls : SemanticCore.Class) (f : SemanticCore.Var) (E : SemanticCore.Class) : nb095AlphaDummy006 x u D R S_cls f E ∈ (Compiler.CompactSourceSyntax.synCcompl (SemanticCore.Class.cab (nb095AlphaDummy749 x u D R S_cls f E) (Compiler.CompactSourceSyntax.synWrex (nb095AlphaDummy750 x u D R S_cls f E) (SemanticCore.Class.cv (nb095AlphaDummy006 x u D R S_cls f E)) (SemanticCore.Wff.classEq (SemanticCore.Class.cv (nb095AlphaDummy749 x u D R S_cls f E)) (Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv (nb095AlphaDummy750 x u D R S_cls f E))))))).fv ∪ (Compiler.CompactSourceSyntax.synCcompl (SemanticCore.Class.cab (nb095AlphaDummy749 x u D R S_cls f E) (Compiler.CompactSourceSyntax.synWrex (nb095AlphaDummy750 x u D R S_cls f E) (SemanticCore.Class.cv (nb095AlphaDummy740 x u D R S_cls f E)) (SemanticCore.Wff.classEq (SemanticCore.Class.cv (nb095AlphaDummy749 x u D R S_cls f E)) (Compiler.CompactSourceSyntax.synCun (Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv (nb095AlphaDummy750 x u D R S_cls f E))) (Compiler.CompactSourceSyntax.synCsn Compiler.CompactSourceSyntax.synC0c)))))).fv

theorem NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb095_support_mem_0794 (D R S_cls E : SemanticCore.Class) : nb095AlphaDummy004 D R S_cls E ∈ (SemanticCore.Class.cab (nb095AlphaDummy747 D R S_cls E) (Compiler.CompactSourceSyntax.synWrex (nb095AlphaDummy748 D R S_cls E) (SemanticCore.Class.cv (nb095AlphaDummy004 D R S_cls E)) (SemanticCore.Wff.classEq (SemanticCore.Class.cv (nb095AlphaDummy747 D R S_cls E)) (Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv (nb095AlphaDummy748 D R S_cls E)))))).fv ∪ (SemanticCore.Class.cab (nb095AlphaDummy747 D R S_cls E) (Compiler.CompactSourceSyntax.synWrex (nb095AlphaDummy748 D R S_cls E) (SemanticCore.Class.cv (nb095AlphaDummy004 D R S_cls E)) (SemanticCore.Wff.classEq (SemanticCore.Class.cv (nb095AlphaDummy747 D R S_cls E)) (Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv (nb095AlphaDummy748 D R S_cls E)))))).fv

theorem NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb095_support_mem_0795 (x u : SemanticCore.Var) (D R S_cls : SemanticCore.Class) (f : SemanticCore.Var) (E : SemanticCore.Class) : nb095AlphaDummy006 x u D R S_cls f E ∈ (SemanticCore.Class.cab (nb095AlphaDummy749 x u D R S_cls f E) (Compiler.CompactSourceSyntax.synWrex (nb095AlphaDummy750 x u D R S_cls f E) (SemanticCore.Class.cv (nb095AlphaDummy006 x u D R S_cls f E)) (SemanticCore.Wff.classEq (SemanticCore.Class.cv (nb095AlphaDummy749 x u D R S_cls f E)) (Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv (nb095AlphaDummy750 x u D R S_cls f E)))))).fv ∪ (SemanticCore.Class.cab (nb095AlphaDummy749 x u D R S_cls f E) (Compiler.CompactSourceSyntax.synWrex (nb095AlphaDummy750 x u D R S_cls f E) (SemanticCore.Class.cv (nb095AlphaDummy006 x u D R S_cls f E)) (SemanticCore.Wff.classEq (SemanticCore.Class.cv (nb095AlphaDummy749 x u D R S_cls f E)) (Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv (nb095AlphaDummy750 x u D R S_cls f E)))))).fv

theorem NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb095_support_mem_0796 (D R S_cls E : SemanticCore.Class) : nb095AlphaDummy748 D R S_cls E ∈ (SemanticCore.Class.cv (nb095AlphaDummy748 D R S_cls E)).fv

theorem NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb095_support_mem_0797 (x u : SemanticCore.Var) (D R S_cls : SemanticCore.Class) (f : SemanticCore.Var) (E : SemanticCore.Class) : nb095AlphaDummy750 x u D R S_cls f E ∈ (SemanticCore.Class.cv (nb095AlphaDummy750 x u D R S_cls f E)).fv

theorem NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb095_support_mem_0798 (D R S_cls E : SemanticCore.Class) : nb095AlphaDummy755 D R S_cls E ∈ (SemanticCore.Wff.classMem (SemanticCore.Class.cv (nb095AlphaDummy755 D R S_cls E)) Compiler.CompactSourceSyntax.synCnnc).fv ∪ (Compiler.CompactSourceSyntax.synCplc (SemanticCore.Class.cv (nb095AlphaDummy755 D R S_cls E)) Compiler.CompactSourceSyntax.synC1c).fv ∪ (SemanticCore.Class.cv (nb095AlphaDummy755 D R S_cls E)).fv

theorem NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb095_support_mem_0799 (x u : SemanticCore.Var) (D R S_cls : SemanticCore.Class) (f : SemanticCore.Var) (E : SemanticCore.Class) : nb095AlphaDummy757 x u D R S_cls f E ∈ (SemanticCore.Wff.classMem (SemanticCore.Class.cv (nb095AlphaDummy757 x u D R S_cls f E)) Compiler.CompactSourceSyntax.synCnnc).fv ∪ (Compiler.CompactSourceSyntax.synCplc (SemanticCore.Class.cv (nb095AlphaDummy757 x u D R S_cls f E)) Compiler.CompactSourceSyntax.synC1c).fv ∪ (SemanticCore.Class.cv (nb095AlphaDummy757 x u D R S_cls f E)).fv

theorem NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb095_support_mem_0800 (D R S_cls E : SemanticCore.Class) : nb095AlphaDummy755 D R S_cls E ∈ (SemanticCore.Class.cv (nb095AlphaDummy755 D R S_cls E)).fv ∪ Compiler.CompactSourceSyntax.synC1c.fv

theorem NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb095_support_mem_0801 (x u : SemanticCore.Var) (D R S_cls : SemanticCore.Class) (f : SemanticCore.Var) (E : SemanticCore.Class) : nb095AlphaDummy757 x u D R S_cls f E ∈ (SemanticCore.Class.cv (nb095AlphaDummy757 x u D R S_cls f E)).fv ∪ Compiler.CompactSourceSyntax.synC1c.fv

theorem NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb095_support_mem_0802 (D R S_cls E : SemanticCore.Class) : nb095AlphaDummy762 D R S_cls E ∈ (Compiler.CompactSourceSyntax.synCnin (SemanticCore.Class.cv (nb095AlphaDummy762 D R S_cls E)) (SemanticCore.Class.cv (nb095AlphaDummy763 D R S_cls E))).fv ∪ (Compiler.CompactSourceSyntax.synCnin (SemanticCore.Class.cv (nb095AlphaDummy762 D R S_cls E)) (SemanticCore.Class.cv (nb095AlphaDummy763 D R S_cls E))).fv

theorem NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb095_support_mem_0803 (x u : SemanticCore.Var) (D R S_cls : SemanticCore.Class) (f : SemanticCore.Var) (E : SemanticCore.Class) : nb095AlphaDummy765 x u D R S_cls f E ∈ (Compiler.CompactSourceSyntax.synCnin (SemanticCore.Class.cv (nb095AlphaDummy765 x u D R S_cls f E)) (SemanticCore.Class.cv (nb095AlphaDummy766 x u D R S_cls f E))).fv ∪ (Compiler.CompactSourceSyntax.synCnin (SemanticCore.Class.cv (nb095AlphaDummy765 x u D R S_cls f E)) (SemanticCore.Class.cv (nb095AlphaDummy766 x u D R S_cls f E))).fv

theorem NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb095_support_mem_0804 (D R S_cls E : SemanticCore.Class) : nb095AlphaDummy762 D R S_cls E ∈ (SemanticCore.Class.cv (nb095AlphaDummy762 D R S_cls E)).fv ∪ (SemanticCore.Class.cv (nb095AlphaDummy763 D R S_cls E)).fv

theorem NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb095_support_mem_0805 (x u : SemanticCore.Var) (D R S_cls : SemanticCore.Class) (f : SemanticCore.Var) (E : SemanticCore.Class) : nb095AlphaDummy765 x u D R S_cls f E ∈ (SemanticCore.Class.cv (nb095AlphaDummy765 x u D R S_cls f E)).fv ∪ (SemanticCore.Class.cv (nb095AlphaDummy766 x u D R S_cls f E)).fv

theorem NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb095_support_mem_0806 (D R S_cls E : SemanticCore.Class) : nb095AlphaDummy763 D R S_cls E ∈ (Compiler.CompactSourceSyntax.synCnin (SemanticCore.Class.cv (nb095AlphaDummy762 D R S_cls E)) (SemanticCore.Class.cv (nb095AlphaDummy763 D R S_cls E))).fv ∪ (Compiler.CompactSourceSyntax.synCnin (SemanticCore.Class.cv (nb095AlphaDummy762 D R S_cls E)) (SemanticCore.Class.cv (nb095AlphaDummy763 D R S_cls E))).fv

theorem NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb095_support_mem_0807 (x u : SemanticCore.Var) (D R S_cls : SemanticCore.Class) (f : SemanticCore.Var) (E : SemanticCore.Class) : nb095AlphaDummy766 x u D R S_cls f E ∈ (Compiler.CompactSourceSyntax.synCnin (SemanticCore.Class.cv (nb095AlphaDummy765 x u D R S_cls f E)) (SemanticCore.Class.cv (nb095AlphaDummy766 x u D R S_cls f E))).fv ∪ (Compiler.CompactSourceSyntax.synCnin (SemanticCore.Class.cv (nb095AlphaDummy765 x u D R S_cls f E)) (SemanticCore.Class.cv (nb095AlphaDummy766 x u D R S_cls f E))).fv

theorem NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb095_support_mem_0808 (D R S_cls E : SemanticCore.Class) : nb095AlphaDummy763 D R S_cls E ∈ (SemanticCore.Class.cv (nb095AlphaDummy762 D R S_cls E)).fv ∪ (SemanticCore.Class.cv (nb095AlphaDummy763 D R S_cls E)).fv

theorem NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb095_support_mem_0809 (x u : SemanticCore.Var) (D R S_cls : SemanticCore.Class) (f : SemanticCore.Var) (E : SemanticCore.Class) : nb095AlphaDummy766 x u D R S_cls f E ∈ (SemanticCore.Class.cv (nb095AlphaDummy765 x u D R S_cls f E)).fv ∪ (SemanticCore.Class.cv (nb095AlphaDummy766 x u D R S_cls f E)).fv

theorem NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb095_support_mem_0810 (D R S_cls E : SemanticCore.Class) : nb095AlphaDummy762 D R S_cls E ∈ (Compiler.CompactSourceSyntax.synCcompl (SemanticCore.Class.cv (nb095AlphaDummy762 D R S_cls E))).fv ∪ (Compiler.CompactSourceSyntax.synCcompl (SemanticCore.Class.cv (nb095AlphaDummy763 D R S_cls E))).fv

theorem NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb095_support_mem_0811 (x u : SemanticCore.Var) (D R S_cls : SemanticCore.Class) (f : SemanticCore.Var) (E : SemanticCore.Class) : nb095AlphaDummy765 x u D R S_cls f E ∈ (Compiler.CompactSourceSyntax.synCcompl (SemanticCore.Class.cv (nb095AlphaDummy765 x u D R S_cls f E))).fv ∪ (Compiler.CompactSourceSyntax.synCcompl (SemanticCore.Class.cv (nb095AlphaDummy766 x u D R S_cls f E))).fv

theorem NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb095_support_mem_0812 (D R S_cls E : SemanticCore.Class) : nb095AlphaDummy762 D R S_cls E ∈ (SemanticCore.Class.cv (nb095AlphaDummy762 D R S_cls E)).fv ∪ (SemanticCore.Class.cv (nb095AlphaDummy762 D R S_cls E)).fv

theorem NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb095_support_mem_0813 (x u : SemanticCore.Var) (D R S_cls : SemanticCore.Class) (f : SemanticCore.Var) (E : SemanticCore.Class) : nb095AlphaDummy765 x u D R S_cls f E ∈ (SemanticCore.Class.cv (nb095AlphaDummy765 x u D R S_cls f E)).fv ∪ (SemanticCore.Class.cv (nb095AlphaDummy765 x u D R S_cls f E)).fv

theorem NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb095_support_mem_0814 (D R S_cls E : SemanticCore.Class) : nb095AlphaDummy763 D R S_cls E ∈ (Compiler.CompactSourceSyntax.synCcompl (SemanticCore.Class.cv (nb095AlphaDummy762 D R S_cls E))).fv ∪ (Compiler.CompactSourceSyntax.synCcompl (SemanticCore.Class.cv (nb095AlphaDummy763 D R S_cls E))).fv

theorem NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb095_support_mem_0815 (x u : SemanticCore.Var) (D R S_cls : SemanticCore.Class) (f : SemanticCore.Var) (E : SemanticCore.Class) : nb095AlphaDummy766 x u D R S_cls f E ∈ (Compiler.CompactSourceSyntax.synCcompl (SemanticCore.Class.cv (nb095AlphaDummy765 x u D R S_cls f E))).fv ∪ (Compiler.CompactSourceSyntax.synCcompl (SemanticCore.Class.cv (nb095AlphaDummy766 x u D R S_cls f E))).fv

theorem NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb095_support_mem_0816 (D R S_cls E : SemanticCore.Class) : nb095AlphaDummy763 D R S_cls E ∈ (SemanticCore.Class.cv (nb095AlphaDummy763 D R S_cls E)).fv ∪ (SemanticCore.Class.cv (nb095AlphaDummy763 D R S_cls E)).fv

theorem NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb095_support_mem_0817 (x u : SemanticCore.Var) (D R S_cls : SemanticCore.Class) (f : SemanticCore.Var) (E : SemanticCore.Class) : nb095AlphaDummy766 x u D R S_cls f E ∈ (SemanticCore.Class.cv (nb095AlphaDummy766 x u D R S_cls f E)).fv ∪ (SemanticCore.Class.cv (nb095AlphaDummy766 x u D R S_cls f E)).fv

theorem NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb095_support_mem_0818 (D R S_cls E : SemanticCore.Class) : nb095AlphaDummy739 D R S_cls E ∈ (SemanticCore.Class.cv (nb095AlphaDummy004 D R S_cls E)).fv ∪ (SemanticCore.Class.cv (nb095AlphaDummy739 D R S_cls E)).fv

theorem NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb095_support_mem_0819 (D R S_cls E : SemanticCore.Class) : nb095AlphaDummy739 D R S_cls E ∈ (Compiler.CompactSourceSyntax.synCcompl (SemanticCore.Class.cab (nb095AlphaDummy747 D R S_cls E) (Compiler.CompactSourceSyntax.synWrex (nb095AlphaDummy748 D R S_cls E) (SemanticCore.Class.cv (nb095AlphaDummy004 D R S_cls E)) (SemanticCore.Wff.classEq (SemanticCore.Class.cv (nb095AlphaDummy747 D R S_cls E)) (Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv (nb095AlphaDummy748 D R S_cls E))))))).fv ∪ (Compiler.CompactSourceSyntax.synCcompl (SemanticCore.Class.cab (nb095AlphaDummy747 D R S_cls E) (Compiler.CompactSourceSyntax.synWrex (nb095AlphaDummy748 D R S_cls E) (SemanticCore.Class.cv (nb095AlphaDummy739 D R S_cls E)) (SemanticCore.Wff.classEq (SemanticCore.Class.cv (nb095AlphaDummy747 D R S_cls E)) (Compiler.CompactSourceSyntax.synCun (Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv (nb095AlphaDummy748 D R S_cls E))) (Compiler.CompactSourceSyntax.synCsn Compiler.CompactSourceSyntax.synC0c)))))).fv

theorem NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb095_support_mem_0820 (x u : SemanticCore.Var) (D R S_cls : SemanticCore.Class) (f : SemanticCore.Var) (E : SemanticCore.Class) : nb095AlphaDummy740 x u D R S_cls f E ∈ (SemanticCore.Class.cv (nb095AlphaDummy006 x u D R S_cls f E)).fv ∪ (SemanticCore.Class.cv (nb095AlphaDummy740 x u D R S_cls f E)).fv

theorem NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb095_support_mem_0821 (x u : SemanticCore.Var) (D R S_cls : SemanticCore.Class) (f : SemanticCore.Var) (E : SemanticCore.Class) : nb095AlphaDummy740 x u D R S_cls f E ∈ (Compiler.CompactSourceSyntax.synCcompl (SemanticCore.Class.cab (nb095AlphaDummy749 x u D R S_cls f E) (Compiler.CompactSourceSyntax.synWrex (nb095AlphaDummy750 x u D R S_cls f E) (SemanticCore.Class.cv (nb095AlphaDummy006 x u D R S_cls f E)) (SemanticCore.Wff.classEq (SemanticCore.Class.cv (nb095AlphaDummy749 x u D R S_cls f E)) (Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv (nb095AlphaDummy750 x u D R S_cls f E))))))).fv ∪ (Compiler.CompactSourceSyntax.synCcompl (SemanticCore.Class.cab (nb095AlphaDummy749 x u D R S_cls f E) (Compiler.CompactSourceSyntax.synWrex (nb095AlphaDummy750 x u D R S_cls f E) (SemanticCore.Class.cv (nb095AlphaDummy740 x u D R S_cls f E)) (SemanticCore.Wff.classEq (SemanticCore.Class.cv (nb095AlphaDummy749 x u D R S_cls f E)) (Compiler.CompactSourceSyntax.synCun (Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv (nb095AlphaDummy750 x u D R S_cls f E))) (Compiler.CompactSourceSyntax.synCsn Compiler.CompactSourceSyntax.synC0c)))))).fv

theorem NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb095_support_mem_0822 (D R S_cls E : SemanticCore.Class) : nb095AlphaDummy739 D R S_cls E ∈ (SemanticCore.Class.cab (nb095AlphaDummy747 D R S_cls E) (Compiler.CompactSourceSyntax.synWrex (nb095AlphaDummy748 D R S_cls E) (SemanticCore.Class.cv (nb095AlphaDummy739 D R S_cls E)) (SemanticCore.Wff.classEq (SemanticCore.Class.cv (nb095AlphaDummy747 D R S_cls E)) (Compiler.CompactSourceSyntax.synCun (Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv (nb095AlphaDummy748 D R S_cls E))) (Compiler.CompactSourceSyntax.synCsn Compiler.CompactSourceSyntax.synC0c))))).fv ∪ (SemanticCore.Class.cab (nb095AlphaDummy747 D R S_cls E) (Compiler.CompactSourceSyntax.synWrex (nb095AlphaDummy748 D R S_cls E) (SemanticCore.Class.cv (nb095AlphaDummy739 D R S_cls E)) (SemanticCore.Wff.classEq (SemanticCore.Class.cv (nb095AlphaDummy747 D R S_cls E)) (Compiler.CompactSourceSyntax.synCun (Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv (nb095AlphaDummy748 D R S_cls E))) (Compiler.CompactSourceSyntax.synCsn Compiler.CompactSourceSyntax.synC0c))))).fv

theorem NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb095_support_mem_0823 (x u : SemanticCore.Var) (D R S_cls : SemanticCore.Class) (f : SemanticCore.Var) (E : SemanticCore.Class) : nb095AlphaDummy740 x u D R S_cls f E ∈ (SemanticCore.Class.cab (nb095AlphaDummy749 x u D R S_cls f E) (Compiler.CompactSourceSyntax.synWrex (nb095AlphaDummy750 x u D R S_cls f E) (SemanticCore.Class.cv (nb095AlphaDummy740 x u D R S_cls f E)) (SemanticCore.Wff.classEq (SemanticCore.Class.cv (nb095AlphaDummy749 x u D R S_cls f E)) (Compiler.CompactSourceSyntax.synCun (Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv (nb095AlphaDummy750 x u D R S_cls f E))) (Compiler.CompactSourceSyntax.synCsn Compiler.CompactSourceSyntax.synC0c))))).fv ∪ (SemanticCore.Class.cab (nb095AlphaDummy749 x u D R S_cls f E) (Compiler.CompactSourceSyntax.synWrex (nb095AlphaDummy750 x u D R S_cls f E) (SemanticCore.Class.cv (nb095AlphaDummy740 x u D R S_cls f E)) (SemanticCore.Wff.classEq (SemanticCore.Class.cv (nb095AlphaDummy749 x u D R S_cls f E)) (Compiler.CompactSourceSyntax.synCun (Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv (nb095AlphaDummy750 x u D R S_cls f E))) (Compiler.CompactSourceSyntax.synCsn Compiler.CompactSourceSyntax.synC0c))))).fv

theorem NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb095_support_mem_0824 (D R S_cls E : SemanticCore.Class) : nb095AlphaDummy748 D R S_cls E ∈ (Compiler.CompactSourceSyntax.synCcompl (Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv (nb095AlphaDummy748 D R S_cls E)))).fv ∪ (Compiler.CompactSourceSyntax.synCcompl (Compiler.CompactSourceSyntax.synCsn Compiler.CompactSourceSyntax.synC0c)).fv

theorem NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb095_support_mem_0825 (x u : SemanticCore.Var) (D R S_cls : SemanticCore.Class) (f : SemanticCore.Var) (E : SemanticCore.Class) : nb095AlphaDummy750 x u D R S_cls f E ∈ (Compiler.CompactSourceSyntax.synCcompl (Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv (nb095AlphaDummy750 x u D R S_cls f E)))).fv ∪ (Compiler.CompactSourceSyntax.synCcompl (Compiler.CompactSourceSyntax.synCsn Compiler.CompactSourceSyntax.synC0c)).fv

theorem NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb095_support_mem_0826 (D R S_cls E : SemanticCore.Class) : nb095AlphaDummy748 D R S_cls E ∈ (Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv (nb095AlphaDummy748 D R S_cls E))).fv ∪ (Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv (nb095AlphaDummy748 D R S_cls E))).fv

theorem NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb095_support_mem_0827 (x u : SemanticCore.Var) (D R S_cls : SemanticCore.Class) (f : SemanticCore.Var) (E : SemanticCore.Class) : nb095AlphaDummy750 x u D R S_cls f E ∈ (Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv (nb095AlphaDummy750 x u D R S_cls f E))).fv ∪ (Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv (nb095AlphaDummy750 x u D R S_cls f E))).fv

theorem NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb095_support_mem_0828 (D R S_cls E : SemanticCore.Class) : nb095AlphaDummy000 D R S_cls E ∈ (SemanticCore.Class.cab (nb095AlphaDummy661 D R S_cls E) (Compiler.CompactSourceSyntax.synWrex (nb095AlphaDummy662 D R S_cls E) (Compiler.CompactSourceSyntax.synCfv (SemanticCore.Class.cv (nb095AlphaDummy000 D R S_cls E)) (SemanticCore.Class.cv (nb095AlphaDummy004 D R S_cls E))) (SemanticCore.Wff.classEq (SemanticCore.Class.cv (nb095AlphaDummy661 D R S_cls E)) (Compiler.CompactSourceSyntax.synCun (Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv (nb095AlphaDummy662 D R S_cls E))) (Compiler.CompactSourceSyntax.synCsn Compiler.CompactSourceSyntax.synC0c))))).fv ∪ (SemanticCore.Class.cab (nb095AlphaDummy661 D R S_cls E) (Compiler.CompactSourceSyntax.synWrex (nb095AlphaDummy662 D R S_cls E) (Compiler.CompactSourceSyntax.synCfv (SemanticCore.Class.cv (nb095AlphaDummy000 D R S_cls E)) (SemanticCore.Class.cv (nb095AlphaDummy004 D R S_cls E))) (SemanticCore.Wff.classEq (SemanticCore.Class.cv (nb095AlphaDummy661 D R S_cls E)) (Compiler.CompactSourceSyntax.synCun (Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv (nb095AlphaDummy662 D R S_cls E))) (Compiler.CompactSourceSyntax.synCsn Compiler.CompactSourceSyntax.synC0c))))).fv

theorem NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb095_support_mem_0829 (x u : SemanticCore.Var) (D R S_cls : SemanticCore.Class) (f : SemanticCore.Var) (E : SemanticCore.Class) : f ∈ (SemanticCore.Class.cab (nb095AlphaDummy663 x u D R S_cls f E) (Compiler.CompactSourceSyntax.synWrex (nb095AlphaDummy664 x u D R S_cls f E) (Compiler.CompactSourceSyntax.synCfv (SemanticCore.Class.cv f) (SemanticCore.Class.cv (nb095AlphaDummy006 x u D R S_cls f E))) (SemanticCore.Wff.classEq (SemanticCore.Class.cv (nb095AlphaDummy663 x u D R S_cls f E)) (Compiler.CompactSourceSyntax.synCun (Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv (nb095AlphaDummy664 x u D R S_cls f E))) (Compiler.CompactSourceSyntax.synCsn Compiler.CompactSourceSyntax.synC0c))))).fv ∪ (SemanticCore.Class.cab (nb095AlphaDummy663 x u D R S_cls f E) (Compiler.CompactSourceSyntax.synWrex (nb095AlphaDummy664 x u D R S_cls f E) (Compiler.CompactSourceSyntax.synCfv (SemanticCore.Class.cv f) (SemanticCore.Class.cv (nb095AlphaDummy006 x u D R S_cls f E))) (SemanticCore.Wff.classEq (SemanticCore.Class.cv (nb095AlphaDummy663 x u D R S_cls f E)) (Compiler.CompactSourceSyntax.synCun (Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv (nb095AlphaDummy664 x u D R S_cls f E))) (Compiler.CompactSourceSyntax.synCsn Compiler.CompactSourceSyntax.synC0c))))).fv

theorem NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb095_support_mem_0830 (D R S_cls E : SemanticCore.Class) : nb095AlphaDummy000 D R S_cls E ∈ (SemanticCore.Class.cv (nb095AlphaDummy000 D R S_cls E)).fv ∪ (SemanticCore.Class.cv (nb095AlphaDummy004 D R S_cls E)).fv

theorem NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb095_support_mem_0831 (D R S_cls E : SemanticCore.Class) : nb095AlphaDummy000 D R S_cls E ∈ {nb095AlphaDummy739 D R S_cls E} ∪ (Compiler.CompactSourceSyntax.synWbr (SemanticCore.Class.cv (nb095AlphaDummy004 D R S_cls E)) (SemanticCore.Class.cv (nb095AlphaDummy000 D R S_cls E)) (SemanticCore.Class.cv (nb095AlphaDummy739 D R S_cls E))).fv

theorem NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb095_support_mem_0832 (D R S_cls E : SemanticCore.Class) : nb095AlphaDummy000 D R S_cls E ∈ (SemanticCore.Class.cab (nb095AlphaDummy741 D R S_cls E) (SemanticCore.Wff.classEq (SemanticCore.Class.cab (nb095AlphaDummy739 D R S_cls E) (Compiler.CompactSourceSyntax.synWbr (SemanticCore.Class.cv (nb095AlphaDummy004 D R S_cls E)) (SemanticCore.Class.cv (nb095AlphaDummy000 D R S_cls E)) (SemanticCore.Class.cv (nb095AlphaDummy739 D R S_cls E)))) (Compiler.CompactSourceSyntax.synCsn (SemanticCore.Class.cv (nb095AlphaDummy741 D R S_cls E))))).fv

theorem NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb095_support_mem_0833 (x u : SemanticCore.Var) (D R S_cls : SemanticCore.Class) (f : SemanticCore.Var) (E : SemanticCore.Class) : f ∈ (SemanticCore.Class.cv f).fv ∪ (SemanticCore.Class.cv (nb095AlphaDummy006 x u D R S_cls f E)).fv

theorem NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb095_support_mem_0834 (x u : SemanticCore.Var) (D R S_cls : SemanticCore.Class) (f : SemanticCore.Var) (E : SemanticCore.Class) : f ∈ {nb095AlphaDummy740 x u D R S_cls f E} ∪ (Compiler.CompactSourceSyntax.synWbr (SemanticCore.Class.cv (nb095AlphaDummy006 x u D R S_cls f E)) (SemanticCore.Class.cv f) (SemanticCore.Class.cv (nb095AlphaDummy740 x u D R S_cls f E))).fv

theorem NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb095_support_mem_0835 (x u : SemanticCore.Var) (D R S_cls : SemanticCore.Class) (f : SemanticCore.Var) (E : SemanticCore.Class) : f ∈ (SemanticCore.Class.cab (nb095AlphaDummy742 x u D R S_cls f E) (SemanticCore.Wff.classEq (SemanticCore.Class.cab (nb095AlphaDummy740 x u D R S_cls f E) (Compiler.CompactSourceSyntax.synWbr (SemanticCore.Class.cv (nb095AlphaDummy006 x u D R S_cls f E)) (SemanticCore.Class.cv f) (SemanticCore.Class.cv (nb095AlphaDummy740 x u D R S_cls f E)))) (Compiler.CompactSourceSyntax.synCsn (SemanticCore.Class.cv (nb095AlphaDummy742 x u D R S_cls f E))))).fv

theorem NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb095_support_mem_0836 (D R S_cls E : SemanticCore.Class) : nb095AlphaDummy741 D R S_cls E ∈ (SemanticCore.Class.cv (nb095AlphaDummy741 D R S_cls E)).fv

theorem NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb095_support_mem_0837 (x u : SemanticCore.Var) (D R S_cls : SemanticCore.Class) (f : SemanticCore.Var) (E : SemanticCore.Class) : nb095AlphaDummy742 x u D R S_cls f E ∈ (SemanticCore.Class.cv (nb095AlphaDummy742 x u D R S_cls f E)).fv

theorem NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb095_support_mem_0838 (D R S_cls E : SemanticCore.Class) : nb095AlphaDummy662 D R S_cls E ∈ (Compiler.CompactSourceSyntax.synCcompl (Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv (nb095AlphaDummy662 D R S_cls E)))).fv ∪ (Compiler.CompactSourceSyntax.synCcompl (Compiler.CompactSourceSyntax.synCsn Compiler.CompactSourceSyntax.synC0c)).fv

theorem NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb095_support_mem_0839 (x u : SemanticCore.Var) (D R S_cls : SemanticCore.Class) (f : SemanticCore.Var) (E : SemanticCore.Class) : nb095AlphaDummy664 x u D R S_cls f E ∈ (Compiler.CompactSourceSyntax.synCcompl (Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv (nb095AlphaDummy664 x u D R S_cls f E)))).fv ∪ (Compiler.CompactSourceSyntax.synCcompl (Compiler.CompactSourceSyntax.synCsn Compiler.CompactSourceSyntax.synC0c)).fv

theorem NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb095_support_mem_0840 (D R S_cls E : SemanticCore.Class) : nb095AlphaDummy662 D R S_cls E ∈ (Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv (nb095AlphaDummy662 D R S_cls E))).fv ∪ (Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv (nb095AlphaDummy662 D R S_cls E))).fv

theorem NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb095_support_mem_0841 (x u : SemanticCore.Var) (D R S_cls : SemanticCore.Class) (f : SemanticCore.Var) (E : SemanticCore.Class) : nb095AlphaDummy664 x u D R S_cls f E ∈ (Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv (nb095AlphaDummy664 x u D R S_cls f E))).fv ∪ (Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv (nb095AlphaDummy664 x u D R S_cls f E))).fv

theorem NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb095_support_mem_0842 (D R S_cls E : SemanticCore.Class) : nb095AlphaDummy793 D R S_cls E ∈ {nb095AlphaDummy793 D R S_cls E} ∪ {nb095AlphaDummy794 D R S_cls E} ∪ (Compiler.CompactSourceSyntax.synWa (SemanticCore.Wff.classMem (SemanticCore.Class.cv (nb095AlphaDummy793 D R S_cls E)) (Compiler.CompactSourceSyntax.synCin E (Compiler.CompactSourceSyntax.synCima (Compiler.CompactSourceSyntax.synCcnv (Compiler.CompactSourceSyntax.synCdif S_cls Compiler.CompactSourceSyntax.synCid)) (Compiler.CompactSourceSyntax.synCsn (SemanticCore.Class.cv (nb095AlphaDummy001 D R S_cls E)))))) (SemanticCore.Wff.classMem (SemanticCore.Class.cv (nb095AlphaDummy794 D R S_cls E)) (Compiler.CompactSourceSyntax.synCin E (Compiler.CompactSourceSyntax.synCima (Compiler.CompactSourceSyntax.synCcnv (Compiler.CompactSourceSyntax.synCdif S_cls Compiler.CompactSourceSyntax.synCid)) (Compiler.CompactSourceSyntax.synCsn (SemanticCore.Class.cv (nb095AlphaDummy001 D R S_cls E))))))).fv

theorem NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb095_support_mem_0843 (u : SemanticCore.Var) (S_cls E : SemanticCore.Class) : nb095AlphaDummy795 u S_cls E ∈ {nb095AlphaDummy795 u S_cls E} ∪ {nb095AlphaDummy796 u S_cls E} ∪ (Compiler.CompactSourceSyntax.synWa (SemanticCore.Wff.classMem (SemanticCore.Class.cv (nb095AlphaDummy795 u S_cls E)) (Compiler.CompactSourceSyntax.synCin E (Compiler.CompactSourceSyntax.synCima (Compiler.CompactSourceSyntax.synCcnv (Compiler.CompactSourceSyntax.synCdif S_cls Compiler.CompactSourceSyntax.synCid)) (Compiler.CompactSourceSyntax.synCsn (SemanticCore.Class.cv u))))) (SemanticCore.Wff.classMem (SemanticCore.Class.cv (nb095AlphaDummy796 u S_cls E)) (Compiler.CompactSourceSyntax.synCin E (Compiler.CompactSourceSyntax.synCima (Compiler.CompactSourceSyntax.synCcnv (Compiler.CompactSourceSyntax.synCdif S_cls Compiler.CompactSourceSyntax.synCid)) (Compiler.CompactSourceSyntax.synCsn (SemanticCore.Class.cv u)))))).fv

theorem NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb095_support_mem_0844 (D R S_cls E : SemanticCore.Class) : nb095AlphaDummy794 D R S_cls E ∈ {nb095AlphaDummy793 D R S_cls E} ∪ {nb095AlphaDummy794 D R S_cls E} ∪ (Compiler.CompactSourceSyntax.synWa (SemanticCore.Wff.classMem (SemanticCore.Class.cv (nb095AlphaDummy793 D R S_cls E)) (Compiler.CompactSourceSyntax.synCin E (Compiler.CompactSourceSyntax.synCima (Compiler.CompactSourceSyntax.synCcnv (Compiler.CompactSourceSyntax.synCdif S_cls Compiler.CompactSourceSyntax.synCid)) (Compiler.CompactSourceSyntax.synCsn (SemanticCore.Class.cv (nb095AlphaDummy001 D R S_cls E)))))) (SemanticCore.Wff.classMem (SemanticCore.Class.cv (nb095AlphaDummy794 D R S_cls E)) (Compiler.CompactSourceSyntax.synCin E (Compiler.CompactSourceSyntax.synCima (Compiler.CompactSourceSyntax.synCcnv (Compiler.CompactSourceSyntax.synCdif S_cls Compiler.CompactSourceSyntax.synCid)) (Compiler.CompactSourceSyntax.synCsn (SemanticCore.Class.cv (nb095AlphaDummy001 D R S_cls E))))))).fv

theorem NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb095_support_mem_0845 (u : SemanticCore.Var) (S_cls E : SemanticCore.Class) : nb095AlphaDummy796 u S_cls E ∈ {nb095AlphaDummy795 u S_cls E} ∪ {nb095AlphaDummy796 u S_cls E} ∪ (Compiler.CompactSourceSyntax.synWa (SemanticCore.Wff.classMem (SemanticCore.Class.cv (nb095AlphaDummy795 u S_cls E)) (Compiler.CompactSourceSyntax.synCin E (Compiler.CompactSourceSyntax.synCima (Compiler.CompactSourceSyntax.synCcnv (Compiler.CompactSourceSyntax.synCdif S_cls Compiler.CompactSourceSyntax.synCid)) (Compiler.CompactSourceSyntax.synCsn (SemanticCore.Class.cv u))))) (SemanticCore.Wff.classMem (SemanticCore.Class.cv (nb095AlphaDummy796 u S_cls E)) (Compiler.CompactSourceSyntax.synCin E (Compiler.CompactSourceSyntax.synCima (Compiler.CompactSourceSyntax.synCcnv (Compiler.CompactSourceSyntax.synCdif S_cls Compiler.CompactSourceSyntax.synCid)) (Compiler.CompactSourceSyntax.synCsn (SemanticCore.Class.cv u)))))).fv

theorem NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb095_support_mem_0846 (D R S_cls E : SemanticCore.Class) : nb095AlphaDummy793 D R S_cls E ∈ (SemanticCore.Class.cv (nb095AlphaDummy793 D R S_cls E)).fv ∪ (SemanticCore.Class.cv (nb095AlphaDummy794 D R S_cls E)).fv

theorem NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb095_support_mem_0847 (D R S_cls E : SemanticCore.Class) : nb095AlphaDummy793 D R S_cls E ∈ (Compiler.CompactSourceSyntax.synCcompl (SemanticCore.Class.cab (nb095AlphaDummy799 D R S_cls E) (Compiler.CompactSourceSyntax.synWrex (nb095AlphaDummy800 D R S_cls E) (SemanticCore.Class.cv (nb095AlphaDummy793 D R S_cls E)) (SemanticCore.Wff.classEq (SemanticCore.Class.cv (nb095AlphaDummy799 D R S_cls E)) (Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv (nb095AlphaDummy800 D R S_cls E))))))).fv ∪ (Compiler.CompactSourceSyntax.synCcompl (SemanticCore.Class.cab (nb095AlphaDummy799 D R S_cls E) (Compiler.CompactSourceSyntax.synWrex (nb095AlphaDummy800 D R S_cls E) (SemanticCore.Class.cv (nb095AlphaDummy794 D R S_cls E)) (SemanticCore.Wff.classEq (SemanticCore.Class.cv (nb095AlphaDummy799 D R S_cls E)) (Compiler.CompactSourceSyntax.synCun (Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv (nb095AlphaDummy800 D R S_cls E))) (Compiler.CompactSourceSyntax.synCsn Compiler.CompactSourceSyntax.synC0c)))))).fv

theorem NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb095_support_mem_0848 (u : SemanticCore.Var) (S_cls E : SemanticCore.Class) : nb095AlphaDummy795 u S_cls E ∈ (SemanticCore.Class.cv (nb095AlphaDummy795 u S_cls E)).fv ∪ (SemanticCore.Class.cv (nb095AlphaDummy796 u S_cls E)).fv

theorem NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb095_support_mem_0849 (u : SemanticCore.Var) (S_cls E : SemanticCore.Class) : nb095AlphaDummy795 u S_cls E ∈ (Compiler.CompactSourceSyntax.synCcompl (SemanticCore.Class.cab (nb095AlphaDummy801 u S_cls E) (Compiler.CompactSourceSyntax.synWrex (nb095AlphaDummy802 u S_cls E) (SemanticCore.Class.cv (nb095AlphaDummy795 u S_cls E)) (SemanticCore.Wff.classEq (SemanticCore.Class.cv (nb095AlphaDummy801 u S_cls E)) (Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv (nb095AlphaDummy802 u S_cls E))))))).fv ∪ (Compiler.CompactSourceSyntax.synCcompl (SemanticCore.Class.cab (nb095AlphaDummy801 u S_cls E) (Compiler.CompactSourceSyntax.synWrex (nb095AlphaDummy802 u S_cls E) (SemanticCore.Class.cv (nb095AlphaDummy796 u S_cls E)) (SemanticCore.Wff.classEq (SemanticCore.Class.cv (nb095AlphaDummy801 u S_cls E)) (Compiler.CompactSourceSyntax.synCun (Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv (nb095AlphaDummy802 u S_cls E))) (Compiler.CompactSourceSyntax.synCsn Compiler.CompactSourceSyntax.synC0c)))))).fv

theorem NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb095_support_mem_0850 (D R S_cls E : SemanticCore.Class) : nb095AlphaDummy793 D R S_cls E ∈ (SemanticCore.Class.cab (nb095AlphaDummy799 D R S_cls E) (Compiler.CompactSourceSyntax.synWrex (nb095AlphaDummy800 D R S_cls E) (SemanticCore.Class.cv (nb095AlphaDummy793 D R S_cls E)) (SemanticCore.Wff.classEq (SemanticCore.Class.cv (nb095AlphaDummy799 D R S_cls E)) (Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv (nb095AlphaDummy800 D R S_cls E)))))).fv ∪ (SemanticCore.Class.cab (nb095AlphaDummy799 D R S_cls E) (Compiler.CompactSourceSyntax.synWrex (nb095AlphaDummy800 D R S_cls E) (SemanticCore.Class.cv (nb095AlphaDummy793 D R S_cls E)) (SemanticCore.Wff.classEq (SemanticCore.Class.cv (nb095AlphaDummy799 D R S_cls E)) (Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv (nb095AlphaDummy800 D R S_cls E)))))).fv

theorem NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb095_support_mem_0851 (u : SemanticCore.Var) (S_cls E : SemanticCore.Class) : nb095AlphaDummy795 u S_cls E ∈ (SemanticCore.Class.cab (nb095AlphaDummy801 u S_cls E) (Compiler.CompactSourceSyntax.synWrex (nb095AlphaDummy802 u S_cls E) (SemanticCore.Class.cv (nb095AlphaDummy795 u S_cls E)) (SemanticCore.Wff.classEq (SemanticCore.Class.cv (nb095AlphaDummy801 u S_cls E)) (Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv (nb095AlphaDummy802 u S_cls E)))))).fv ∪ (SemanticCore.Class.cab (nb095AlphaDummy801 u S_cls E) (Compiler.CompactSourceSyntax.synWrex (nb095AlphaDummy802 u S_cls E) (SemanticCore.Class.cv (nb095AlphaDummy795 u S_cls E)) (SemanticCore.Wff.classEq (SemanticCore.Class.cv (nb095AlphaDummy801 u S_cls E)) (Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv (nb095AlphaDummy802 u S_cls E)))))).fv

theorem NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb095_support_mem_0852 (D R S_cls E : SemanticCore.Class) : nb095AlphaDummy800 D R S_cls E ∈ (SemanticCore.Class.cv (nb095AlphaDummy800 D R S_cls E)).fv

theorem NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb095_support_mem_0853 (u : SemanticCore.Var) (S_cls E : SemanticCore.Class) : nb095AlphaDummy802 u S_cls E ∈ (SemanticCore.Class.cv (nb095AlphaDummy802 u S_cls E)).fv

theorem NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb095_support_mem_0854 (D R S_cls E : SemanticCore.Class) : nb095AlphaDummy807 D R S_cls E ∈ (SemanticCore.Wff.classMem (SemanticCore.Class.cv (nb095AlphaDummy807 D R S_cls E)) Compiler.CompactSourceSyntax.synCnnc).fv ∪ (Compiler.CompactSourceSyntax.synCplc (SemanticCore.Class.cv (nb095AlphaDummy807 D R S_cls E)) Compiler.CompactSourceSyntax.synC1c).fv ∪ (SemanticCore.Class.cv (nb095AlphaDummy807 D R S_cls E)).fv

theorem NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb095_support_mem_0855 (u : SemanticCore.Var) (S_cls E : SemanticCore.Class) : nb095AlphaDummy809 u S_cls E ∈ (SemanticCore.Wff.classMem (SemanticCore.Class.cv (nb095AlphaDummy809 u S_cls E)) Compiler.CompactSourceSyntax.synCnnc).fv ∪ (Compiler.CompactSourceSyntax.synCplc (SemanticCore.Class.cv (nb095AlphaDummy809 u S_cls E)) Compiler.CompactSourceSyntax.synC1c).fv ∪ (SemanticCore.Class.cv (nb095AlphaDummy809 u S_cls E)).fv

theorem NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb095_support_mem_0856 (D R S_cls E : SemanticCore.Class) : nb095AlphaDummy807 D R S_cls E ∈ (SemanticCore.Class.cv (nb095AlphaDummy807 D R S_cls E)).fv ∪ Compiler.CompactSourceSyntax.synC1c.fv

theorem NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb095_support_mem_0857 (u : SemanticCore.Var) (S_cls E : SemanticCore.Class) : nb095AlphaDummy809 u S_cls E ∈ (SemanticCore.Class.cv (nb095AlphaDummy809 u S_cls E)).fv ∪ Compiler.CompactSourceSyntax.synC1c.fv

theorem NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb095_support_mem_0858 (D R S_cls E : SemanticCore.Class) : nb095AlphaDummy814 D R S_cls E ∈ (Compiler.CompactSourceSyntax.synCnin (SemanticCore.Class.cv (nb095AlphaDummy814 D R S_cls E)) (SemanticCore.Class.cv (nb095AlphaDummy815 D R S_cls E))).fv ∪ (Compiler.CompactSourceSyntax.synCnin (SemanticCore.Class.cv (nb095AlphaDummy814 D R S_cls E)) (SemanticCore.Class.cv (nb095AlphaDummy815 D R S_cls E))).fv

theorem NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb095_support_mem_0859 (u : SemanticCore.Var) (S_cls E : SemanticCore.Class) : nb095AlphaDummy817 u S_cls E ∈ (Compiler.CompactSourceSyntax.synCnin (SemanticCore.Class.cv (nb095AlphaDummy817 u S_cls E)) (SemanticCore.Class.cv (nb095AlphaDummy818 u S_cls E))).fv ∪ (Compiler.CompactSourceSyntax.synCnin (SemanticCore.Class.cv (nb095AlphaDummy817 u S_cls E)) (SemanticCore.Class.cv (nb095AlphaDummy818 u S_cls E))).fv

theorem NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb095_support_mem_0860 (D R S_cls E : SemanticCore.Class) : nb095AlphaDummy814 D R S_cls E ∈ (SemanticCore.Class.cv (nb095AlphaDummy814 D R S_cls E)).fv ∪ (SemanticCore.Class.cv (nb095AlphaDummy815 D R S_cls E)).fv

theorem NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb095_support_mem_0861 (u : SemanticCore.Var) (S_cls E : SemanticCore.Class) : nb095AlphaDummy817 u S_cls E ∈ (SemanticCore.Class.cv (nb095AlphaDummy817 u S_cls E)).fv ∪ (SemanticCore.Class.cv (nb095AlphaDummy818 u S_cls E)).fv

theorem NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb095_support_mem_0862 (D R S_cls E : SemanticCore.Class) : nb095AlphaDummy815 D R S_cls E ∈ (Compiler.CompactSourceSyntax.synCnin (SemanticCore.Class.cv (nb095AlphaDummy814 D R S_cls E)) (SemanticCore.Class.cv (nb095AlphaDummy815 D R S_cls E))).fv ∪ (Compiler.CompactSourceSyntax.synCnin (SemanticCore.Class.cv (nb095AlphaDummy814 D R S_cls E)) (SemanticCore.Class.cv (nb095AlphaDummy815 D R S_cls E))).fv

theorem NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb095_support_mem_0863 (u : SemanticCore.Var) (S_cls E : SemanticCore.Class) : nb095AlphaDummy818 u S_cls E ∈ (Compiler.CompactSourceSyntax.synCnin (SemanticCore.Class.cv (nb095AlphaDummy817 u S_cls E)) (SemanticCore.Class.cv (nb095AlphaDummy818 u S_cls E))).fv ∪ (Compiler.CompactSourceSyntax.synCnin (SemanticCore.Class.cv (nb095AlphaDummy817 u S_cls E)) (SemanticCore.Class.cv (nb095AlphaDummy818 u S_cls E))).fv

theorem NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb095_support_mem_0864 (D R S_cls E : SemanticCore.Class) : nb095AlphaDummy815 D R S_cls E ∈ (SemanticCore.Class.cv (nb095AlphaDummy814 D R S_cls E)).fv ∪ (SemanticCore.Class.cv (nb095AlphaDummy815 D R S_cls E)).fv

theorem NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb095_support_mem_0865 (u : SemanticCore.Var) (S_cls E : SemanticCore.Class) : nb095AlphaDummy818 u S_cls E ∈ (SemanticCore.Class.cv (nb095AlphaDummy817 u S_cls E)).fv ∪ (SemanticCore.Class.cv (nb095AlphaDummy818 u S_cls E)).fv

theorem NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb095_support_mem_0866 (D R S_cls E : SemanticCore.Class) : nb095AlphaDummy814 D R S_cls E ∈ (Compiler.CompactSourceSyntax.synCcompl (SemanticCore.Class.cv (nb095AlphaDummy814 D R S_cls E))).fv ∪ (Compiler.CompactSourceSyntax.synCcompl (SemanticCore.Class.cv (nb095AlphaDummy815 D R S_cls E))).fv

theorem NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb095_support_mem_0867 (u : SemanticCore.Var) (S_cls E : SemanticCore.Class) : nb095AlphaDummy817 u S_cls E ∈ (Compiler.CompactSourceSyntax.synCcompl (SemanticCore.Class.cv (nb095AlphaDummy817 u S_cls E))).fv ∪ (Compiler.CompactSourceSyntax.synCcompl (SemanticCore.Class.cv (nb095AlphaDummy818 u S_cls E))).fv

theorem NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb095_support_mem_0868 (D R S_cls E : SemanticCore.Class) : nb095AlphaDummy814 D R S_cls E ∈ (SemanticCore.Class.cv (nb095AlphaDummy814 D R S_cls E)).fv ∪ (SemanticCore.Class.cv (nb095AlphaDummy814 D R S_cls E)).fv

theorem NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb095_support_mem_0869 (u : SemanticCore.Var) (S_cls E : SemanticCore.Class) : nb095AlphaDummy817 u S_cls E ∈ (SemanticCore.Class.cv (nb095AlphaDummy817 u S_cls E)).fv ∪ (SemanticCore.Class.cv (nb095AlphaDummy817 u S_cls E)).fv

theorem NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb095_support_mem_0870 (D R S_cls E : SemanticCore.Class) : nb095AlphaDummy815 D R S_cls E ∈ (Compiler.CompactSourceSyntax.synCcompl (SemanticCore.Class.cv (nb095AlphaDummy814 D R S_cls E))).fv ∪ (Compiler.CompactSourceSyntax.synCcompl (SemanticCore.Class.cv (nb095AlphaDummy815 D R S_cls E))).fv

theorem NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb095_support_mem_0871 (u : SemanticCore.Var) (S_cls E : SemanticCore.Class) : nb095AlphaDummy818 u S_cls E ∈ (Compiler.CompactSourceSyntax.synCcompl (SemanticCore.Class.cv (nb095AlphaDummy817 u S_cls E))).fv ∪ (Compiler.CompactSourceSyntax.synCcompl (SemanticCore.Class.cv (nb095AlphaDummy818 u S_cls E))).fv

theorem NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb095_support_mem_0872 (D R S_cls E : SemanticCore.Class) : nb095AlphaDummy815 D R S_cls E ∈ (SemanticCore.Class.cv (nb095AlphaDummy815 D R S_cls E)).fv ∪ (SemanticCore.Class.cv (nb095AlphaDummy815 D R S_cls E)).fv

theorem NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb095_support_mem_0873 (u : SemanticCore.Var) (S_cls E : SemanticCore.Class) : nb095AlphaDummy818 u S_cls E ∈ (SemanticCore.Class.cv (nb095AlphaDummy818 u S_cls E)).fv ∪ (SemanticCore.Class.cv (nb095AlphaDummy818 u S_cls E)).fv

theorem NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb095_support_mem_0874 (D R S_cls E : SemanticCore.Class) : nb095AlphaDummy794 D R S_cls E ∈ (SemanticCore.Class.cv (nb095AlphaDummy793 D R S_cls E)).fv ∪ (SemanticCore.Class.cv (nb095AlphaDummy794 D R S_cls E)).fv

theorem NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb095_support_mem_0875 (D R S_cls E : SemanticCore.Class) : nb095AlphaDummy794 D R S_cls E ∈ (Compiler.CompactSourceSyntax.synCcompl (SemanticCore.Class.cab (nb095AlphaDummy799 D R S_cls E) (Compiler.CompactSourceSyntax.synWrex (nb095AlphaDummy800 D R S_cls E) (SemanticCore.Class.cv (nb095AlphaDummy793 D R S_cls E)) (SemanticCore.Wff.classEq (SemanticCore.Class.cv (nb095AlphaDummy799 D R S_cls E)) (Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv (nb095AlphaDummy800 D R S_cls E))))))).fv ∪ (Compiler.CompactSourceSyntax.synCcompl (SemanticCore.Class.cab (nb095AlphaDummy799 D R S_cls E) (Compiler.CompactSourceSyntax.synWrex (nb095AlphaDummy800 D R S_cls E) (SemanticCore.Class.cv (nb095AlphaDummy794 D R S_cls E)) (SemanticCore.Wff.classEq (SemanticCore.Class.cv (nb095AlphaDummy799 D R S_cls E)) (Compiler.CompactSourceSyntax.synCun (Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv (nb095AlphaDummy800 D R S_cls E))) (Compiler.CompactSourceSyntax.synCsn Compiler.CompactSourceSyntax.synC0c)))))).fv

theorem NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb095_support_mem_0876 (u : SemanticCore.Var) (S_cls E : SemanticCore.Class) : nb095AlphaDummy796 u S_cls E ∈ (SemanticCore.Class.cv (nb095AlphaDummy795 u S_cls E)).fv ∪ (SemanticCore.Class.cv (nb095AlphaDummy796 u S_cls E)).fv

theorem NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb095_support_mem_0877 (u : SemanticCore.Var) (S_cls E : SemanticCore.Class) : nb095AlphaDummy796 u S_cls E ∈ (Compiler.CompactSourceSyntax.synCcompl (SemanticCore.Class.cab (nb095AlphaDummy801 u S_cls E) (Compiler.CompactSourceSyntax.synWrex (nb095AlphaDummy802 u S_cls E) (SemanticCore.Class.cv (nb095AlphaDummy795 u S_cls E)) (SemanticCore.Wff.classEq (SemanticCore.Class.cv (nb095AlphaDummy801 u S_cls E)) (Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv (nb095AlphaDummy802 u S_cls E))))))).fv ∪ (Compiler.CompactSourceSyntax.synCcompl (SemanticCore.Class.cab (nb095AlphaDummy801 u S_cls E) (Compiler.CompactSourceSyntax.synWrex (nb095AlphaDummy802 u S_cls E) (SemanticCore.Class.cv (nb095AlphaDummy796 u S_cls E)) (SemanticCore.Wff.classEq (SemanticCore.Class.cv (nb095AlphaDummy801 u S_cls E)) (Compiler.CompactSourceSyntax.synCun (Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv (nb095AlphaDummy802 u S_cls E))) (Compiler.CompactSourceSyntax.synCsn Compiler.CompactSourceSyntax.synC0c)))))).fv

theorem NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb095_support_mem_0878 (D R S_cls E : SemanticCore.Class) : nb095AlphaDummy794 D R S_cls E ∈ (SemanticCore.Class.cab (nb095AlphaDummy799 D R S_cls E) (Compiler.CompactSourceSyntax.synWrex (nb095AlphaDummy800 D R S_cls E) (SemanticCore.Class.cv (nb095AlphaDummy794 D R S_cls E)) (SemanticCore.Wff.classEq (SemanticCore.Class.cv (nb095AlphaDummy799 D R S_cls E)) (Compiler.CompactSourceSyntax.synCun (Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv (nb095AlphaDummy800 D R S_cls E))) (Compiler.CompactSourceSyntax.synCsn Compiler.CompactSourceSyntax.synC0c))))).fv ∪ (SemanticCore.Class.cab (nb095AlphaDummy799 D R S_cls E) (Compiler.CompactSourceSyntax.synWrex (nb095AlphaDummy800 D R S_cls E) (SemanticCore.Class.cv (nb095AlphaDummy794 D R S_cls E)) (SemanticCore.Wff.classEq (SemanticCore.Class.cv (nb095AlphaDummy799 D R S_cls E)) (Compiler.CompactSourceSyntax.synCun (Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv (nb095AlphaDummy800 D R S_cls E))) (Compiler.CompactSourceSyntax.synCsn Compiler.CompactSourceSyntax.synC0c))))).fv

theorem NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb095_support_mem_0879 (u : SemanticCore.Var) (S_cls E : SemanticCore.Class) : nb095AlphaDummy796 u S_cls E ∈ (SemanticCore.Class.cab (nb095AlphaDummy801 u S_cls E) (Compiler.CompactSourceSyntax.synWrex (nb095AlphaDummy802 u S_cls E) (SemanticCore.Class.cv (nb095AlphaDummy796 u S_cls E)) (SemanticCore.Wff.classEq (SemanticCore.Class.cv (nb095AlphaDummy801 u S_cls E)) (Compiler.CompactSourceSyntax.synCun (Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv (nb095AlphaDummy802 u S_cls E))) (Compiler.CompactSourceSyntax.synCsn Compiler.CompactSourceSyntax.synC0c))))).fv ∪ (SemanticCore.Class.cab (nb095AlphaDummy801 u S_cls E) (Compiler.CompactSourceSyntax.synWrex (nb095AlphaDummy802 u S_cls E) (SemanticCore.Class.cv (nb095AlphaDummy796 u S_cls E)) (SemanticCore.Wff.classEq (SemanticCore.Class.cv (nb095AlphaDummy801 u S_cls E)) (Compiler.CompactSourceSyntax.synCun (Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv (nb095AlphaDummy802 u S_cls E))) (Compiler.CompactSourceSyntax.synCsn Compiler.CompactSourceSyntax.synC0c))))).fv

theorem NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb095_support_mem_0880 (D R S_cls E : SemanticCore.Class) : nb095AlphaDummy800 D R S_cls E ∈ (Compiler.CompactSourceSyntax.synCcompl (Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv (nb095AlphaDummy800 D R S_cls E)))).fv ∪ (Compiler.CompactSourceSyntax.synCcompl (Compiler.CompactSourceSyntax.synCsn Compiler.CompactSourceSyntax.synC0c)).fv

theorem NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb095_support_mem_0881 (u : SemanticCore.Var) (S_cls E : SemanticCore.Class) : nb095AlphaDummy802 u S_cls E ∈ (Compiler.CompactSourceSyntax.synCcompl (Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv (nb095AlphaDummy802 u S_cls E)))).fv ∪ (Compiler.CompactSourceSyntax.synCcompl (Compiler.CompactSourceSyntax.synCsn Compiler.CompactSourceSyntax.synC0c)).fv

theorem NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb095_support_mem_0882 (D R S_cls E : SemanticCore.Class) : nb095AlphaDummy800 D R S_cls E ∈ (Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv (nb095AlphaDummy800 D R S_cls E))).fv ∪ (Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv (nb095AlphaDummy800 D R S_cls E))).fv

theorem NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb095_support_mem_0883 (u : SemanticCore.Var) (S_cls E : SemanticCore.Class) : nb095AlphaDummy802 u S_cls E ∈ (Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv (nb095AlphaDummy802 u S_cls E))).fv ∪ (Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv (nb095AlphaDummy802 u S_cls E))).fv

theorem NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb095_support_mem_0884 (D R S_cls E : SemanticCore.Class) : nb095AlphaDummy001 D R S_cls E ∈ (SemanticCore.Class.cv (nb095AlphaDummy000 D R S_cls E)).fv ∪ (Compiler.CompactSourceSyntax.synCin R (Compiler.CompactSourceSyntax.synCxp (Compiler.CompactSourceSyntax.synCin D (Compiler.CompactSourceSyntax.synCima (Compiler.CompactSourceSyntax.synCcnv (Compiler.CompactSourceSyntax.synCdif R Compiler.CompactSourceSyntax.synCid)) (Compiler.CompactSourceSyntax.synCsn (SemanticCore.Class.cv (nb095AlphaDummy002 D R S_cls E))))) (Compiler.CompactSourceSyntax.synCin D (Compiler.CompactSourceSyntax.synCima (Compiler.CompactSourceSyntax.synCcnv (Compiler.CompactSourceSyntax.synCdif R Compiler.CompactSourceSyntax.synCid)) (Compiler.CompactSourceSyntax.synCsn (SemanticCore.Class.cv (nb095AlphaDummy002 D R S_cls E))))))).fv ∪ (Compiler.CompactSourceSyntax.synCin S_cls (Compiler.CompactSourceSyntax.synCxp (Compiler.CompactSourceSyntax.synCin E (Compiler.CompactSourceSyntax.synCima (Compiler.CompactSourceSyntax.synCcnv (Compiler.CompactSourceSyntax.synCdif S_cls Compiler.CompactSourceSyntax.synCid)) (Compiler.CompactSourceSyntax.synCsn (SemanticCore.Class.cv (nb095AlphaDummy001 D R S_cls E))))) (Compiler.CompactSourceSyntax.synCin E (Compiler.CompactSourceSyntax.synCima (Compiler.CompactSourceSyntax.synCcnv (Compiler.CompactSourceSyntax.synCdif S_cls Compiler.CompactSourceSyntax.synCid)) (Compiler.CompactSourceSyntax.synCsn (SemanticCore.Class.cv (nb095AlphaDummy001 D R S_cls E))))))).fv ∪ (Compiler.CompactSourceSyntax.synCin D (Compiler.CompactSourceSyntax.synCima (Compiler.CompactSourceSyntax.synCcnv (Compiler.CompactSourceSyntax.synCdif R Compiler.CompactSourceSyntax.synCid)) (Compiler.CompactSourceSyntax.synCsn (SemanticCore.Class.cv (nb095AlphaDummy002 D R S_cls E))))).fv ∪ (Compiler.CompactSourceSyntax.synCin E (Compiler.CompactSourceSyntax.synCima (Compiler.CompactSourceSyntax.synCcnv (Compiler.CompactSourceSyntax.synCdif S_cls Compiler.CompactSourceSyntax.synCid)) (Compiler.CompactSourceSyntax.synCsn (SemanticCore.Class.cv (nb095AlphaDummy001 D R S_cls E))))).fv

theorem NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb095_support_mem_0885 (x u : SemanticCore.Var) (D R S_cls : SemanticCore.Class) (f : SemanticCore.Var) (E : SemanticCore.Class) : u ∈ (SemanticCore.Class.cv f).fv ∪ (Compiler.CompactSourceSyntax.synCin R (Compiler.CompactSourceSyntax.synCxp (Compiler.CompactSourceSyntax.synCin D (Compiler.CompactSourceSyntax.synCima (Compiler.CompactSourceSyntax.synCcnv (Compiler.CompactSourceSyntax.synCdif R Compiler.CompactSourceSyntax.synCid)) (Compiler.CompactSourceSyntax.synCsn (SemanticCore.Class.cv x)))) (Compiler.CompactSourceSyntax.synCin D (Compiler.CompactSourceSyntax.synCima (Compiler.CompactSourceSyntax.synCcnv (Compiler.CompactSourceSyntax.synCdif R Compiler.CompactSourceSyntax.synCid)) (Compiler.CompactSourceSyntax.synCsn (SemanticCore.Class.cv x)))))).fv ∪ (Compiler.CompactSourceSyntax.synCin S_cls (Compiler.CompactSourceSyntax.synCxp (Compiler.CompactSourceSyntax.synCin E (Compiler.CompactSourceSyntax.synCima (Compiler.CompactSourceSyntax.synCcnv (Compiler.CompactSourceSyntax.synCdif S_cls Compiler.CompactSourceSyntax.synCid)) (Compiler.CompactSourceSyntax.synCsn (SemanticCore.Class.cv u)))) (Compiler.CompactSourceSyntax.synCin E (Compiler.CompactSourceSyntax.synCima (Compiler.CompactSourceSyntax.synCcnv (Compiler.CompactSourceSyntax.synCdif S_cls Compiler.CompactSourceSyntax.synCid)) (Compiler.CompactSourceSyntax.synCsn (SemanticCore.Class.cv u)))))).fv ∪ (Compiler.CompactSourceSyntax.synCin D (Compiler.CompactSourceSyntax.synCima (Compiler.CompactSourceSyntax.synCcnv (Compiler.CompactSourceSyntax.synCdif R Compiler.CompactSourceSyntax.synCid)) (Compiler.CompactSourceSyntax.synCsn (SemanticCore.Class.cv x)))).fv ∪ (Compiler.CompactSourceSyntax.synCin E (Compiler.CompactSourceSyntax.synCima (Compiler.CompactSourceSyntax.synCcnv (Compiler.CompactSourceSyntax.synCdif S_cls Compiler.CompactSourceSyntax.synCid)) (Compiler.CompactSourceSyntax.synCsn (SemanticCore.Class.cv u)))).fv

theorem NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb095_support_mem_0886 (D R S_cls E : SemanticCore.Class) : nb095AlphaDummy001 D R S_cls E ∈ (Compiler.CompactSourceSyntax.synCnin S_cls (Compiler.CompactSourceSyntax.synCxp (Compiler.CompactSourceSyntax.synCin E (Compiler.CompactSourceSyntax.synCima (Compiler.CompactSourceSyntax.synCcnv (Compiler.CompactSourceSyntax.synCdif S_cls Compiler.CompactSourceSyntax.synCid)) (Compiler.CompactSourceSyntax.synCsn (SemanticCore.Class.cv (nb095AlphaDummy001 D R S_cls E))))) (Compiler.CompactSourceSyntax.synCin E (Compiler.CompactSourceSyntax.synCima (Compiler.CompactSourceSyntax.synCcnv (Compiler.CompactSourceSyntax.synCdif S_cls Compiler.CompactSourceSyntax.synCid)) (Compiler.CompactSourceSyntax.synCsn (SemanticCore.Class.cv (nb095AlphaDummy001 D R S_cls E))))))).fv ∪ (Compiler.CompactSourceSyntax.synCnin S_cls (Compiler.CompactSourceSyntax.synCxp (Compiler.CompactSourceSyntax.synCin E (Compiler.CompactSourceSyntax.synCima (Compiler.CompactSourceSyntax.synCcnv (Compiler.CompactSourceSyntax.synCdif S_cls Compiler.CompactSourceSyntax.synCid)) (Compiler.CompactSourceSyntax.synCsn (SemanticCore.Class.cv (nb095AlphaDummy001 D R S_cls E))))) (Compiler.CompactSourceSyntax.synCin E (Compiler.CompactSourceSyntax.synCima (Compiler.CompactSourceSyntax.synCcnv (Compiler.CompactSourceSyntax.synCdif S_cls Compiler.CompactSourceSyntax.synCid)) (Compiler.CompactSourceSyntax.synCsn (SemanticCore.Class.cv (nb095AlphaDummy001 D R S_cls E))))))).fv

theorem NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb095_support_mem_0887 (u : SemanticCore.Var) (S_cls E : SemanticCore.Class) : u ∈ (Compiler.CompactSourceSyntax.synCnin S_cls (Compiler.CompactSourceSyntax.synCxp (Compiler.CompactSourceSyntax.synCin E (Compiler.CompactSourceSyntax.synCima (Compiler.CompactSourceSyntax.synCcnv (Compiler.CompactSourceSyntax.synCdif S_cls Compiler.CompactSourceSyntax.synCid)) (Compiler.CompactSourceSyntax.synCsn (SemanticCore.Class.cv u)))) (Compiler.CompactSourceSyntax.synCin E (Compiler.CompactSourceSyntax.synCima (Compiler.CompactSourceSyntax.synCcnv (Compiler.CompactSourceSyntax.synCdif S_cls Compiler.CompactSourceSyntax.synCid)) (Compiler.CompactSourceSyntax.synCsn (SemanticCore.Class.cv u)))))).fv ∪ (Compiler.CompactSourceSyntax.synCnin S_cls (Compiler.CompactSourceSyntax.synCxp (Compiler.CompactSourceSyntax.synCin E (Compiler.CompactSourceSyntax.synCima (Compiler.CompactSourceSyntax.synCcnv (Compiler.CompactSourceSyntax.synCdif S_cls Compiler.CompactSourceSyntax.synCid)) (Compiler.CompactSourceSyntax.synCsn (SemanticCore.Class.cv u)))) (Compiler.CompactSourceSyntax.synCin E (Compiler.CompactSourceSyntax.synCima (Compiler.CompactSourceSyntax.synCcnv (Compiler.CompactSourceSyntax.synCdif S_cls Compiler.CompactSourceSyntax.synCid)) (Compiler.CompactSourceSyntax.synCsn (SemanticCore.Class.cv u)))))).fv

theorem NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb095_support_mem_0888 (D R S_cls E : SemanticCore.Class) : nb095AlphaDummy001 D R S_cls E ∈ S_cls.fv ∪ (Compiler.CompactSourceSyntax.synCxp (Compiler.CompactSourceSyntax.synCin E (Compiler.CompactSourceSyntax.synCima (Compiler.CompactSourceSyntax.synCcnv (Compiler.CompactSourceSyntax.synCdif S_cls Compiler.CompactSourceSyntax.synCid)) (Compiler.CompactSourceSyntax.synCsn (SemanticCore.Class.cv (nb095AlphaDummy001 D R S_cls E))))) (Compiler.CompactSourceSyntax.synCin E (Compiler.CompactSourceSyntax.synCima (Compiler.CompactSourceSyntax.synCcnv (Compiler.CompactSourceSyntax.synCdif S_cls Compiler.CompactSourceSyntax.synCid)) (Compiler.CompactSourceSyntax.synCsn (SemanticCore.Class.cv (nb095AlphaDummy001 D R S_cls E)))))).fv

theorem NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb095_support_mem_0889 (u : SemanticCore.Var) (S_cls E : SemanticCore.Class) : u ∈ S_cls.fv ∪ (Compiler.CompactSourceSyntax.synCxp (Compiler.CompactSourceSyntax.synCin E (Compiler.CompactSourceSyntax.synCima (Compiler.CompactSourceSyntax.synCcnv (Compiler.CompactSourceSyntax.synCdif S_cls Compiler.CompactSourceSyntax.synCid)) (Compiler.CompactSourceSyntax.synCsn (SemanticCore.Class.cv u)))) (Compiler.CompactSourceSyntax.synCin E (Compiler.CompactSourceSyntax.synCima (Compiler.CompactSourceSyntax.synCcnv (Compiler.CompactSourceSyntax.synCdif S_cls Compiler.CompactSourceSyntax.synCid)) (Compiler.CompactSourceSyntax.synCsn (SemanticCore.Class.cv u))))).fv

theorem NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb095_support_mem_0890 (D R S_cls E : SemanticCore.Class) : nb095AlphaDummy001 D R S_cls E ∈ {nb095AlphaDummy793 D R S_cls E} ∪ {nb095AlphaDummy794 D R S_cls E} ∪ (Compiler.CompactSourceSyntax.synWa (SemanticCore.Wff.classMem (SemanticCore.Class.cv (nb095AlphaDummy793 D R S_cls E)) (Compiler.CompactSourceSyntax.synCin E (Compiler.CompactSourceSyntax.synCima (Compiler.CompactSourceSyntax.synCcnv (Compiler.CompactSourceSyntax.synCdif S_cls Compiler.CompactSourceSyntax.synCid)) (Compiler.CompactSourceSyntax.synCsn (SemanticCore.Class.cv (nb095AlphaDummy001 D R S_cls E)))))) (SemanticCore.Wff.classMem (SemanticCore.Class.cv (nb095AlphaDummy794 D R S_cls E)) (Compiler.CompactSourceSyntax.synCin E (Compiler.CompactSourceSyntax.synCima (Compiler.CompactSourceSyntax.synCcnv (Compiler.CompactSourceSyntax.synCdif S_cls Compiler.CompactSourceSyntax.synCid)) (Compiler.CompactSourceSyntax.synCsn (SemanticCore.Class.cv (nb095AlphaDummy001 D R S_cls E))))))).fv

theorem NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb095_support_mem_0891 (u : SemanticCore.Var) (S_cls E : SemanticCore.Class) : u ∈ {nb095AlphaDummy795 u S_cls E} ∪ {nb095AlphaDummy796 u S_cls E} ∪ (Compiler.CompactSourceSyntax.synWa (SemanticCore.Wff.classMem (SemanticCore.Class.cv (nb095AlphaDummy795 u S_cls E)) (Compiler.CompactSourceSyntax.synCin E (Compiler.CompactSourceSyntax.synCima (Compiler.CompactSourceSyntax.synCcnv (Compiler.CompactSourceSyntax.synCdif S_cls Compiler.CompactSourceSyntax.synCid)) (Compiler.CompactSourceSyntax.synCsn (SemanticCore.Class.cv u))))) (SemanticCore.Wff.classMem (SemanticCore.Class.cv (nb095AlphaDummy796 u S_cls E)) (Compiler.CompactSourceSyntax.synCin E (Compiler.CompactSourceSyntax.synCima (Compiler.CompactSourceSyntax.synCcnv (Compiler.CompactSourceSyntax.synCdif S_cls Compiler.CompactSourceSyntax.synCid)) (Compiler.CompactSourceSyntax.synCsn (SemanticCore.Class.cv u)))))).fv

theorem NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb095_support_mem_0892 (D R S_cls E : SemanticCore.Class) : nb095AlphaDummy001 D R S_cls E ∈ (Compiler.CompactSourceSyntax.synCin E (Compiler.CompactSourceSyntax.synCima (Compiler.CompactSourceSyntax.synCcnv (Compiler.CompactSourceSyntax.synCdif S_cls Compiler.CompactSourceSyntax.synCid)) (Compiler.CompactSourceSyntax.synCsn (SemanticCore.Class.cv (nb095AlphaDummy001 D R S_cls E))))).fv ∪ (Compiler.CompactSourceSyntax.synCin E (Compiler.CompactSourceSyntax.synCima (Compiler.CompactSourceSyntax.synCcnv (Compiler.CompactSourceSyntax.synCdif S_cls Compiler.CompactSourceSyntax.synCid)) (Compiler.CompactSourceSyntax.synCsn (SemanticCore.Class.cv (nb095AlphaDummy001 D R S_cls E))))).fv

theorem NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb095_support_mem_0893 (u : SemanticCore.Var) (S_cls E : SemanticCore.Class) : u ∈ (Compiler.CompactSourceSyntax.synCin E (Compiler.CompactSourceSyntax.synCima (Compiler.CompactSourceSyntax.synCcnv (Compiler.CompactSourceSyntax.synCdif S_cls Compiler.CompactSourceSyntax.synCid)) (Compiler.CompactSourceSyntax.synCsn (SemanticCore.Class.cv u)))).fv ∪ (Compiler.CompactSourceSyntax.synCin E (Compiler.CompactSourceSyntax.synCima (Compiler.CompactSourceSyntax.synCcnv (Compiler.CompactSourceSyntax.synCdif S_cls Compiler.CompactSourceSyntax.synCid)) (Compiler.CompactSourceSyntax.synCsn (SemanticCore.Class.cv u)))).fv

theorem NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb095_focused_notmem_0000 (D R S_cls E : SemanticCore.Class) : nb095AlphaDummy002 D R S_cls E ∉ D.fv

theorem NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb095_focused_notmem_0001 (D R S_cls E : SemanticCore.Class) : nb095AlphaDummy000 D R S_cls E ∉ D.fv

theorem NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb095_compact_envfresh_0000 (x : SemanticCore.Var) (D R S_cls : SemanticCore.Class) (f : SemanticCore.Var) (E : SemanticCore.Class) (dv_D_f : f ∉ D.fv) (dv_D_x : x ∉ D.fv) : Nominal.TEnvFresh [(nb095AlphaDummy002 D R S_cls E, x), (nb095AlphaDummy000 D R S_cls E, f)] D.fv

Certificates from AlphaSupport.NAR4H5C095M3Part008Stage2.

noncomputable def NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb095FocusedRefl0000 (x : SemanticCore.Var) (D R S_cls : SemanticCore.Class) (f : SemanticCore.Var) (E : SemanticCore.Class) (dv_D_f : f ∉ D.fv) (dv_D_x : x ∉ D.fv) : Nominal.TReflOn [(nb095AlphaDummy002 D R S_cls E, x), (nb095AlphaDummy000 D R S_cls E, f)] D.fv

Checked nominal proof certificate identified upstream as nb095_focused_refl_0000.

Equations

• NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb095FocusedRefl0000 x D R S_cls f E dv_D_f dv_D_x = ⋯.reflOn

theorem NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb095_focused_notmem_0002 (D R S_cls E : SemanticCore.Class) : nb095AlphaDummy001 D R S_cls E ∉ E.fv

theorem NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb095_focused_notmem_0003 (D R S_cls E : SemanticCore.Class) : nb095AlphaDummy002 D R S_cls E ∉ E.fv

theorem NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb095_focused_notmem_0004 (D R S_cls E : SemanticCore.Class) : nb095AlphaDummy000 D R S_cls E ∉ E.fv

theorem NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb095_compact_envfresh_0001 (x u : SemanticCore.Var) (D R S_cls : SemanticCore.Class) (f : SemanticCore.Var) (E : SemanticCore.Class) (dv_E_f : f ∉ E.fv) (dv_E_u : u ∉ E.fv) (dv_E_x : x ∉ E.fv) : Nominal.TEnvFresh [(nb095AlphaDummy001 D R S_cls E, u), (nb095AlphaDummy002 D R S_cls E, x), (nb095AlphaDummy000 D R S_cls E, f)] E.fv

Certificates from AlphaSupport.NAR4H5C095M3Part008Stage3.

noncomputable def NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb095FocusedRefl0001 (x u : SemanticCore.Var) (D R S_cls : SemanticCore.Class) (f : SemanticCore.Var) (E : SemanticCore.Class) (dv_E_f : f ∉ E.fv) (dv_E_u : u ∉ E.fv) (dv_E_x : x ∉ E.fv) : Nominal.TReflOn [(nb095AlphaDummy001 D R S_cls E, u), (nb095AlphaDummy002 D R S_cls E, x), (nb095AlphaDummy000 D R S_cls E, f)] E.fv

Checked nominal proof certificate identified upstream as nb095_focused_refl_0001.

Equations

• NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb095FocusedRefl0001 x u D R S_cls f E dv_E_f dv_E_u dv_E_x = ⋯.reflOn

theorem NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb095_compact_fv_empty_0026 (D R S_cls E : SemanticCore.Class) : nb095AlphaDummy009 D R S_cls E ∉ ∅

theorem NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb095_compact_fv_empty_0027 (f : SemanticCore.Var) : nb095AlphaDummy010 f ∉ ∅

theorem NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb095_compact_fv_empty_0028 (D R S_cls E : SemanticCore.Class) : nb095AlphaDummy007 D R S_cls E ∉ ∅

theorem NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb095_compact_fv_empty_0029 (f : SemanticCore.Var) : nb095AlphaDummy008 f ∉ ∅

theorem NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb095_compact_fv_empty_0030 (D R S_cls E : SemanticCore.Class) : nb095AlphaDummy001 D R S_cls E ∉ ∅

theorem NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb095_compact_fv_empty_0031 (u : SemanticCore.Var) : u ∉ ∅

theorem NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb095_compact_fv_empty_0032 (D R S_cls E : SemanticCore.Class) : nb095AlphaDummy002 D R S_cls E ∉ ∅

theorem NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb095_compact_fv_empty_0033 (x : SemanticCore.Var) : x ∉ ∅

theorem NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb095_compact_fv_empty_0034 (D R S_cls E : SemanticCore.Class) : nb095AlphaDummy000 D R S_cls E ∉ ∅

theorem NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb095_compact_fv_empty_0035 (f : SemanticCore.Var) : f ∉ ∅