NF weak partition development: NAR4C068C001Part013.

theorem NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb068_support_mem_0498 : nb068AlphaDummy450 ∈ (Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv nb068AlphaDummy450)).fv ∪ (Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv nb068AlphaDummy450)).fv

theorem NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb068_support_mem_0499 (f : SemanticCore.Var) : nb068AlphaDummy452 f ∈ (Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv (nb068AlphaDummy452 f))).fv ∪ (Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv (nb068AlphaDummy452 f))).fv

theorem NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb068_support_mem_0500 : nb068AlphaDummy000 ∈ (Compiler.CompactSourceSyntax.synCnin (Compiler.CompactSourceSyntax.synCcom (Compiler.CompactSourceSyntax.synCcnv (SemanticCore.Class.cv nb068AlphaDummy000)) (Compiler.CompactSourceSyntax.synCcnv (Compiler.CompactSourceSyntax.synCcnv (SemanticCore.Class.cv nb068AlphaDummy000)))) Compiler.CompactSourceSyntax.synCid).fv ∪ (Compiler.CompactSourceSyntax.synCnin (Compiler.CompactSourceSyntax.synCcom (Compiler.CompactSourceSyntax.synCcnv (SemanticCore.Class.cv nb068AlphaDummy000)) (Compiler.CompactSourceSyntax.synCcnv (Compiler.CompactSourceSyntax.synCcnv (SemanticCore.Class.cv nb068AlphaDummy000)))) Compiler.CompactSourceSyntax.synCid).fv

theorem NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb068_support_mem_0501 (f : SemanticCore.Var) : f ∈ (Compiler.CompactSourceSyntax.synCnin (Compiler.CompactSourceSyntax.synCcom (Compiler.CompactSourceSyntax.synCcnv (SemanticCore.Class.cv f)) (Compiler.CompactSourceSyntax.synCcnv (Compiler.CompactSourceSyntax.synCcnv (SemanticCore.Class.cv f)))) Compiler.CompactSourceSyntax.synCid).fv ∪ (Compiler.CompactSourceSyntax.synCnin (Compiler.CompactSourceSyntax.synCcom (Compiler.CompactSourceSyntax.synCcnv (SemanticCore.Class.cv f)) (Compiler.CompactSourceSyntax.synCcnv (Compiler.CompactSourceSyntax.synCcnv (SemanticCore.Class.cv f)))) Compiler.CompactSourceSyntax.synCid).fv

theorem NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb068_support_mem_0502 : nb068AlphaDummy000 ∈ (Compiler.CompactSourceSyntax.synCcom (Compiler.CompactSourceSyntax.synCcnv (SemanticCore.Class.cv nb068AlphaDummy000)) (Compiler.CompactSourceSyntax.synCcnv (Compiler.CompactSourceSyntax.synCcnv (SemanticCore.Class.cv nb068AlphaDummy000)))).fv ∪ Compiler.CompactSourceSyntax.synCid.fv

theorem NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb068_support_mem_0503 (f : SemanticCore.Var) : f ∈ (Compiler.CompactSourceSyntax.synCcom (Compiler.CompactSourceSyntax.synCcnv (SemanticCore.Class.cv f)) (Compiler.CompactSourceSyntax.synCcnv (Compiler.CompactSourceSyntax.synCcnv (SemanticCore.Class.cv f)))).fv ∪ Compiler.CompactSourceSyntax.synCid.fv

theorem NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb068_support_mem_0504 : nb068AlphaDummy000 ∈ (Compiler.CompactSourceSyntax.synCcnv (SemanticCore.Class.cv nb068AlphaDummy000)).fv ∪ (Compiler.CompactSourceSyntax.synCcnv (Compiler.CompactSourceSyntax.synCcnv (SemanticCore.Class.cv nb068AlphaDummy000))).fv

theorem NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb068_support_mem_0505 : nb068AlphaDummy000 ∈ {nb068AlphaDummy327} ∪ {nb068AlphaDummy328} ∪ (Compiler.CompactSourceSyntax.synWex nb068AlphaDummy329 (Compiler.CompactSourceSyntax.synWa (Compiler.CompactSourceSyntax.synWbr (SemanticCore.Class.cv nb068AlphaDummy327) (Compiler.CompactSourceSyntax.synCcnv (Compiler.CompactSourceSyntax.synCcnv (SemanticCore.Class.cv nb068AlphaDummy000))) (SemanticCore.Class.cv nb068AlphaDummy329)) (Compiler.CompactSourceSyntax.synWbr (SemanticCore.Class.cv nb068AlphaDummy329) (Compiler.CompactSourceSyntax.synCcnv (SemanticCore.Class.cv nb068AlphaDummy000)) (SemanticCore.Class.cv nb068AlphaDummy328)))).fv

theorem NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb068_support_mem_0506 (f : SemanticCore.Var) : f ∈ (Compiler.CompactSourceSyntax.synCcnv (SemanticCore.Class.cv f)).fv ∪ (Compiler.CompactSourceSyntax.synCcnv (Compiler.CompactSourceSyntax.synCcnv (SemanticCore.Class.cv f))).fv

theorem NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb068_support_mem_0507 (f : SemanticCore.Var) : f ∈ {nb068AlphaDummy330 f} ∪ {nb068AlphaDummy331 f} ∪ (Compiler.CompactSourceSyntax.synWex (nb068AlphaDummy332 f) (Compiler.CompactSourceSyntax.synWa (Compiler.CompactSourceSyntax.synWbr (SemanticCore.Class.cv (nb068AlphaDummy330 f)) (Compiler.CompactSourceSyntax.synCcnv (Compiler.CompactSourceSyntax.synCcnv (SemanticCore.Class.cv f))) (SemanticCore.Class.cv (nb068AlphaDummy332 f))) (Compiler.CompactSourceSyntax.synWbr (SemanticCore.Class.cv (nb068AlphaDummy332 f)) (Compiler.CompactSourceSyntax.synCcnv (SemanticCore.Class.cv f)) (SemanticCore.Class.cv (nb068AlphaDummy331 f))))).fv

theorem NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb068_support_mem_0508 : nb068AlphaDummy000 ∈ {nb068AlphaDummy407} ∪ {nb068AlphaDummy408} ∪ (Compiler.CompactSourceSyntax.synWbr (SemanticCore.Class.cv nb068AlphaDummy408) (Compiler.CompactSourceSyntax.synCcnv (SemanticCore.Class.cv nb068AlphaDummy000)) (SemanticCore.Class.cv nb068AlphaDummy407)).fv

theorem NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb068_support_mem_0509 (f : SemanticCore.Var) : f ∈ {nb068AlphaDummy409 f} ∪ {nb068AlphaDummy410 f} ∪ (Compiler.CompactSourceSyntax.synWbr (SemanticCore.Class.cv (nb068AlphaDummy410 f)) (Compiler.CompactSourceSyntax.synCcnv (SemanticCore.Class.cv f)) (SemanticCore.Class.cv (nb068AlphaDummy409 f))).fv

theorem NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb068_support_mem_0510 : nb068AlphaDummy000 ∈ (Compiler.CompactSourceSyntax.synCcnv (SemanticCore.Class.cv nb068AlphaDummy000)).fv

theorem NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb068_support_mem_0511 (f : SemanticCore.Var) : f ∈ (Compiler.CompactSourceSyntax.synCcnv (SemanticCore.Class.cv f)).fv

theorem NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb068_support_mem_0512 : nb068AlphaDummy329 ∈ (SemanticCore.Class.cv nb068AlphaDummy329).fv ∪ (SemanticCore.Class.cv nb068AlphaDummy328).fv

theorem NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb068_support_mem_0513 : nb068AlphaDummy329 ∈ (Compiler.CompactSourceSyntax.synCcompl (SemanticCore.Class.cab nb068AlphaDummy485 (Compiler.CompactSourceSyntax.synWrex nb068AlphaDummy486 (SemanticCore.Class.cv nb068AlphaDummy329) (SemanticCore.Wff.classEq (SemanticCore.Class.cv nb068AlphaDummy485) (Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv nb068AlphaDummy486)))))).fv ∪ (Compiler.CompactSourceSyntax.synCcompl (SemanticCore.Class.cab nb068AlphaDummy485 (Compiler.CompactSourceSyntax.synWrex nb068AlphaDummy486 (SemanticCore.Class.cv nb068AlphaDummy328) (SemanticCore.Wff.classEq (SemanticCore.Class.cv nb068AlphaDummy485) (Compiler.CompactSourceSyntax.synCun (Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv nb068AlphaDummy486)) (Compiler.CompactSourceSyntax.synCsn Compiler.CompactSourceSyntax.synC0c)))))).fv

theorem NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb068_support_mem_0514 (f : SemanticCore.Var) : nb068AlphaDummy332 f ∈ (SemanticCore.Class.cv (nb068AlphaDummy332 f)).fv ∪ (SemanticCore.Class.cv (nb068AlphaDummy331 f)).fv

theorem NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb068_support_mem_0515 (f : SemanticCore.Var) : nb068AlphaDummy332 f ∈ (Compiler.CompactSourceSyntax.synCcompl (SemanticCore.Class.cab (nb068AlphaDummy487 f) (Compiler.CompactSourceSyntax.synWrex (nb068AlphaDummy488 f) (SemanticCore.Class.cv (nb068AlphaDummy332 f)) (SemanticCore.Wff.classEq (SemanticCore.Class.cv (nb068AlphaDummy487 f)) (Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv (nb068AlphaDummy488 f))))))).fv ∪ (Compiler.CompactSourceSyntax.synCcompl (SemanticCore.Class.cab (nb068AlphaDummy487 f) (Compiler.CompactSourceSyntax.synWrex (nb068AlphaDummy488 f) (SemanticCore.Class.cv (nb068AlphaDummy331 f)) (SemanticCore.Wff.classEq (SemanticCore.Class.cv (nb068AlphaDummy487 f)) (Compiler.CompactSourceSyntax.synCun (Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv (nb068AlphaDummy488 f))) (Compiler.CompactSourceSyntax.synCsn Compiler.CompactSourceSyntax.synC0c)))))).fv

theorem NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb068_support_mem_0516 : nb068AlphaDummy329 ∈ (SemanticCore.Class.cab nb068AlphaDummy485 (Compiler.CompactSourceSyntax.synWrex nb068AlphaDummy486 (SemanticCore.Class.cv nb068AlphaDummy329) (SemanticCore.Wff.classEq (SemanticCore.Class.cv nb068AlphaDummy485) (Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv nb068AlphaDummy486))))).fv ∪ (SemanticCore.Class.cab nb068AlphaDummy485 (Compiler.CompactSourceSyntax.synWrex nb068AlphaDummy486 (SemanticCore.Class.cv nb068AlphaDummy329) (SemanticCore.Wff.classEq (SemanticCore.Class.cv nb068AlphaDummy485) (Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv nb068AlphaDummy486))))).fv

theorem NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb068_support_mem_0517 (f : SemanticCore.Var) : nb068AlphaDummy332 f ∈ (SemanticCore.Class.cab (nb068AlphaDummy487 f) (Compiler.CompactSourceSyntax.synWrex (nb068AlphaDummy488 f) (SemanticCore.Class.cv (nb068AlphaDummy332 f)) (SemanticCore.Wff.classEq (SemanticCore.Class.cv (nb068AlphaDummy487 f)) (Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv (nb068AlphaDummy488 f)))))).fv ∪ (SemanticCore.Class.cab (nb068AlphaDummy487 f) (Compiler.CompactSourceSyntax.synWrex (nb068AlphaDummy488 f) (SemanticCore.Class.cv (nb068AlphaDummy332 f)) (SemanticCore.Wff.classEq (SemanticCore.Class.cv (nb068AlphaDummy487 f)) (Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv (nb068AlphaDummy488 f)))))).fv

theorem NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb068_support_mem_0518 : nb068AlphaDummy486 ∈ (SemanticCore.Class.cv nb068AlphaDummy486).fv

theorem NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb068_support_mem_0519 (f : SemanticCore.Var) : nb068AlphaDummy488 f ∈ (SemanticCore.Class.cv (nb068AlphaDummy488 f)).fv

theorem NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb068_support_mem_0520 : nb068AlphaDummy493 ∈ (SemanticCore.Wff.classMem (SemanticCore.Class.cv nb068AlphaDummy493) Compiler.CompactSourceSyntax.synCnnc).fv ∪ (Compiler.CompactSourceSyntax.synCplc (SemanticCore.Class.cv nb068AlphaDummy493) Compiler.CompactSourceSyntax.synC1c).fv ∪ (SemanticCore.Class.cv nb068AlphaDummy493).fv

theorem NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb068_support_mem_0521 (f : SemanticCore.Var) : nb068AlphaDummy495 f ∈ (SemanticCore.Wff.classMem (SemanticCore.Class.cv (nb068AlphaDummy495 f)) Compiler.CompactSourceSyntax.synCnnc).fv ∪ (Compiler.CompactSourceSyntax.synCplc (SemanticCore.Class.cv (nb068AlphaDummy495 f)) Compiler.CompactSourceSyntax.synC1c).fv ∪ (SemanticCore.Class.cv (nb068AlphaDummy495 f)).fv

theorem NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb068_support_mem_0522 : nb068AlphaDummy493 ∈ (SemanticCore.Class.cv nb068AlphaDummy493).fv ∪ Compiler.CompactSourceSyntax.synC1c.fv

theorem NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb068_support_mem_0523 (f : SemanticCore.Var) : nb068AlphaDummy495 f ∈ (SemanticCore.Class.cv (nb068AlphaDummy495 f)).fv ∪ Compiler.CompactSourceSyntax.synC1c.fv

theorem NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb068_support_mem_0524 : nb068AlphaDummy500 ∈ (Compiler.CompactSourceSyntax.synCnin (SemanticCore.Class.cv nb068AlphaDummy500) (SemanticCore.Class.cv nb068AlphaDummy501)).fv ∪ (Compiler.CompactSourceSyntax.synCnin (SemanticCore.Class.cv nb068AlphaDummy500) (SemanticCore.Class.cv nb068AlphaDummy501)).fv

theorem NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb068_support_mem_0525 (f : SemanticCore.Var) : nb068AlphaDummy503 f ∈ (Compiler.CompactSourceSyntax.synCnin (SemanticCore.Class.cv (nb068AlphaDummy503 f)) (SemanticCore.Class.cv (nb068AlphaDummy504 f))).fv ∪ (Compiler.CompactSourceSyntax.synCnin (SemanticCore.Class.cv (nb068AlphaDummy503 f)) (SemanticCore.Class.cv (nb068AlphaDummy504 f))).fv

theorem NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb068_support_mem_0526 : nb068AlphaDummy500 ∈ (SemanticCore.Class.cv nb068AlphaDummy500).fv ∪ (SemanticCore.Class.cv nb068AlphaDummy501).fv

theorem NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb068_support_mem_0527 (f : SemanticCore.Var) : nb068AlphaDummy503 f ∈ (SemanticCore.Class.cv (nb068AlphaDummy503 f)).fv ∪ (SemanticCore.Class.cv (nb068AlphaDummy504 f)).fv

theorem NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb068_support_mem_0528 : nb068AlphaDummy501 ∈ (Compiler.CompactSourceSyntax.synCnin (SemanticCore.Class.cv nb068AlphaDummy500) (SemanticCore.Class.cv nb068AlphaDummy501)).fv ∪ (Compiler.CompactSourceSyntax.synCnin (SemanticCore.Class.cv nb068AlphaDummy500) (SemanticCore.Class.cv nb068AlphaDummy501)).fv

theorem NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb068_support_mem_0529 (f : SemanticCore.Var) : nb068AlphaDummy504 f ∈ (Compiler.CompactSourceSyntax.synCnin (SemanticCore.Class.cv (nb068AlphaDummy503 f)) (SemanticCore.Class.cv (nb068AlphaDummy504 f))).fv ∪ (Compiler.CompactSourceSyntax.synCnin (SemanticCore.Class.cv (nb068AlphaDummy503 f)) (SemanticCore.Class.cv (nb068AlphaDummy504 f))).fv

theorem NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb068_support_mem_0530 : nb068AlphaDummy501 ∈ (SemanticCore.Class.cv nb068AlphaDummy500).fv ∪ (SemanticCore.Class.cv nb068AlphaDummy501).fv

theorem NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb068_support_mem_0531 (f : SemanticCore.Var) : nb068AlphaDummy504 f ∈ (SemanticCore.Class.cv (nb068AlphaDummy503 f)).fv ∪ (SemanticCore.Class.cv (nb068AlphaDummy504 f)).fv

theorem NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb068_support_mem_0532 : nb068AlphaDummy500 ∈ (Compiler.CompactSourceSyntax.synCcompl (SemanticCore.Class.cv nb068AlphaDummy500)).fv ∪ (Compiler.CompactSourceSyntax.synCcompl (SemanticCore.Class.cv nb068AlphaDummy501)).fv

theorem NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb068_support_mem_0533 (f : SemanticCore.Var) : nb068AlphaDummy503 f ∈ (Compiler.CompactSourceSyntax.synCcompl (SemanticCore.Class.cv (nb068AlphaDummy503 f))).fv ∪ (Compiler.CompactSourceSyntax.synCcompl (SemanticCore.Class.cv (nb068AlphaDummy504 f))).fv

theorem NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb068_support_mem_0534 : nb068AlphaDummy500 ∈ (SemanticCore.Class.cv nb068AlphaDummy500).fv ∪ (SemanticCore.Class.cv nb068AlphaDummy500).fv

theorem NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb068_support_mem_0535 (f : SemanticCore.Var) : nb068AlphaDummy503 f ∈ (SemanticCore.Class.cv (nb068AlphaDummy503 f)).fv ∪ (SemanticCore.Class.cv (nb068AlphaDummy503 f)).fv

theorem NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb068_support_mem_0536 : nb068AlphaDummy501 ∈ (Compiler.CompactSourceSyntax.synCcompl (SemanticCore.Class.cv nb068AlphaDummy500)).fv ∪ (Compiler.CompactSourceSyntax.synCcompl (SemanticCore.Class.cv nb068AlphaDummy501)).fv

theorem NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb068_support_mem_0537 (f : SemanticCore.Var) : nb068AlphaDummy504 f ∈ (Compiler.CompactSourceSyntax.synCcompl (SemanticCore.Class.cv (nb068AlphaDummy503 f))).fv ∪ (Compiler.CompactSourceSyntax.synCcompl (SemanticCore.Class.cv (nb068AlphaDummy504 f))).fv

theorem NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb068_support_mem_0538 : nb068AlphaDummy501 ∈ (SemanticCore.Class.cv nb068AlphaDummy501).fv ∪ (SemanticCore.Class.cv nb068AlphaDummy501).fv

theorem NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb068_support_mem_0539 (f : SemanticCore.Var) : nb068AlphaDummy504 f ∈ (SemanticCore.Class.cv (nb068AlphaDummy504 f)).fv ∪ (SemanticCore.Class.cv (nb068AlphaDummy504 f)).fv

theorem NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb068_support_mem_0540 : nb068AlphaDummy328 ∈ (SemanticCore.Class.cv nb068AlphaDummy329).fv ∪ (SemanticCore.Class.cv nb068AlphaDummy328).fv

theorem NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb068_support_mem_0541 : nb068AlphaDummy328 ∈ (Compiler.CompactSourceSyntax.synCcompl (SemanticCore.Class.cab nb068AlphaDummy485 (Compiler.CompactSourceSyntax.synWrex nb068AlphaDummy486 (SemanticCore.Class.cv nb068AlphaDummy329) (SemanticCore.Wff.classEq (SemanticCore.Class.cv nb068AlphaDummy485) (Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv nb068AlphaDummy486)))))).fv ∪ (Compiler.CompactSourceSyntax.synCcompl (SemanticCore.Class.cab nb068AlphaDummy485 (Compiler.CompactSourceSyntax.synWrex nb068AlphaDummy486 (SemanticCore.Class.cv nb068AlphaDummy328) (SemanticCore.Wff.classEq (SemanticCore.Class.cv nb068AlphaDummy485) (Compiler.CompactSourceSyntax.synCun (Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv nb068AlphaDummy486)) (Compiler.CompactSourceSyntax.synCsn Compiler.CompactSourceSyntax.synC0c)))))).fv

theorem NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb068_support_mem_0542 (f : SemanticCore.Var) : nb068AlphaDummy331 f ∈ (SemanticCore.Class.cv (nb068AlphaDummy332 f)).fv ∪ (SemanticCore.Class.cv (nb068AlphaDummy331 f)).fv

theorem NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb068_support_mem_0543 (f : SemanticCore.Var) : nb068AlphaDummy331 f ∈ (Compiler.CompactSourceSyntax.synCcompl (SemanticCore.Class.cab (nb068AlphaDummy487 f) (Compiler.CompactSourceSyntax.synWrex (nb068AlphaDummy488 f) (SemanticCore.Class.cv (nb068AlphaDummy332 f)) (SemanticCore.Wff.classEq (SemanticCore.Class.cv (nb068AlphaDummy487 f)) (Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv (nb068AlphaDummy488 f))))))).fv ∪ (Compiler.CompactSourceSyntax.synCcompl (SemanticCore.Class.cab (nb068AlphaDummy487 f) (Compiler.CompactSourceSyntax.synWrex (nb068AlphaDummy488 f) (SemanticCore.Class.cv (nb068AlphaDummy331 f)) (SemanticCore.Wff.classEq (SemanticCore.Class.cv (nb068AlphaDummy487 f)) (Compiler.CompactSourceSyntax.synCun (Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv (nb068AlphaDummy488 f))) (Compiler.CompactSourceSyntax.synCsn Compiler.CompactSourceSyntax.synC0c)))))).fv

theorem NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb068_support_mem_0544 : nb068AlphaDummy328 ∈ (SemanticCore.Class.cab nb068AlphaDummy485 (Compiler.CompactSourceSyntax.synWrex nb068AlphaDummy486 (SemanticCore.Class.cv nb068AlphaDummy328) (SemanticCore.Wff.classEq (SemanticCore.Class.cv nb068AlphaDummy485) (Compiler.CompactSourceSyntax.synCun (Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv nb068AlphaDummy486)) (Compiler.CompactSourceSyntax.synCsn Compiler.CompactSourceSyntax.synC0c))))).fv ∪ (SemanticCore.Class.cab nb068AlphaDummy485 (Compiler.CompactSourceSyntax.synWrex nb068AlphaDummy486 (SemanticCore.Class.cv nb068AlphaDummy328) (SemanticCore.Wff.classEq (SemanticCore.Class.cv nb068AlphaDummy485) (Compiler.CompactSourceSyntax.synCun (Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv nb068AlphaDummy486)) (Compiler.CompactSourceSyntax.synCsn Compiler.CompactSourceSyntax.synC0c))))).fv

theorem NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb068_support_mem_0545 (f : SemanticCore.Var) : nb068AlphaDummy331 f ∈ (SemanticCore.Class.cab (nb068AlphaDummy487 f) (Compiler.CompactSourceSyntax.synWrex (nb068AlphaDummy488 f) (SemanticCore.Class.cv (nb068AlphaDummy331 f)) (SemanticCore.Wff.classEq (SemanticCore.Class.cv (nb068AlphaDummy487 f)) (Compiler.CompactSourceSyntax.synCun (Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv (nb068AlphaDummy488 f))) (Compiler.CompactSourceSyntax.synCsn Compiler.CompactSourceSyntax.synC0c))))).fv ∪ (SemanticCore.Class.cab (nb068AlphaDummy487 f) (Compiler.CompactSourceSyntax.synWrex (nb068AlphaDummy488 f) (SemanticCore.Class.cv (nb068AlphaDummy331 f)) (SemanticCore.Wff.classEq (SemanticCore.Class.cv (nb068AlphaDummy487 f)) (Compiler.CompactSourceSyntax.synCun (Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv (nb068AlphaDummy488 f))) (Compiler.CompactSourceSyntax.synCsn Compiler.CompactSourceSyntax.synC0c))))).fv

theorem NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb068_support_mem_0546 : nb068AlphaDummy486 ∈ (Compiler.CompactSourceSyntax.synCcompl (Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv nb068AlphaDummy486))).fv ∪ (Compiler.CompactSourceSyntax.synCcompl (Compiler.CompactSourceSyntax.synCsn Compiler.CompactSourceSyntax.synC0c)).fv

theorem NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb068_support_mem_0547 (f : SemanticCore.Var) : nb068AlphaDummy488 f ∈ (Compiler.CompactSourceSyntax.synCcompl (Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv (nb068AlphaDummy488 f)))).fv ∪ (Compiler.CompactSourceSyntax.synCcompl (Compiler.CompactSourceSyntax.synCsn Compiler.CompactSourceSyntax.synC0c)).fv

theorem NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb068_support_mem_0548 : nb068AlphaDummy486 ∈ (Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv nb068AlphaDummy486)).fv ∪ (Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv nb068AlphaDummy486)).fv

theorem NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb068_support_mem_0549 (f : SemanticCore.Var) : nb068AlphaDummy488 f ∈ (Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv (nb068AlphaDummy488 f))).fv ∪ (Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv (nb068AlphaDummy488 f))).fv

theorem NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb068_compact_fv_empty_0020 : nb068AlphaDummy002 ∉ ∅

theorem NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb068_compact_fv_empty_0021 (y : SemanticCore.Var) : y ∉ ∅

theorem NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb068_compact_fv_empty_0022 : nb068AlphaDummy001 ∉ ∅

theorem NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb068_compact_fv_empty_0023 (x : SemanticCore.Var) : x ∉ ∅

theorem NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb068_compact_fv_empty_0024 : nb068AlphaDummy003 ∉ ∅

theorem NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb068_compact_fv_empty_0025 (x y f : SemanticCore.Var) : nb068AlphaDummy004 x y f ∉ ∅