Nominal proof certificates grouped in dependency order.
Certificates from NAR4C078C001Part026.
theorem
NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb078_support_mem_0596 :
nb078AlphaDummy569 ∈ (SemanticCore.Class.cab nb078AlphaDummy577
(Compiler.CompactSourceSyntax.synWrex nb078AlphaDummy578 (SemanticCore.Class.cv nb078AlphaDummy569)
(SemanticCore.Wff.classEq (SemanticCore.Class.cv nb078AlphaDummy577)
(Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv nb078AlphaDummy578))))).fv ∪ (SemanticCore.Class.cab nb078AlphaDummy577
(Compiler.CompactSourceSyntax.synWrex nb078AlphaDummy578 (SemanticCore.Class.cv nb078AlphaDummy569)
(SemanticCore.Wff.classEq (SemanticCore.Class.cv nb078AlphaDummy577)
(Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv nb078AlphaDummy578))))).fv
theorem
NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb078_support_mem_0597
(g : SemanticCore.Var)
:
nb078AlphaDummy572 g ∈ (SemanticCore.Class.cab (nb078AlphaDummy579 g)
(Compiler.CompactSourceSyntax.synWrex (nb078AlphaDummy580 g) (SemanticCore.Class.cv (nb078AlphaDummy572 g))
(SemanticCore.Wff.classEq (SemanticCore.Class.cv (nb078AlphaDummy579 g))
(Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv (nb078AlphaDummy580 g)))))).fv ∪ (SemanticCore.Class.cab (nb078AlphaDummy579 g)
(Compiler.CompactSourceSyntax.synWrex (nb078AlphaDummy580 g) (SemanticCore.Class.cv (nb078AlphaDummy572 g))
(SemanticCore.Wff.classEq (SemanticCore.Class.cv (nb078AlphaDummy579 g))
(Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv (nb078AlphaDummy580 g)))))).fv
theorem
NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb078_support_mem_0600 :
nb078AlphaDummy585 ∈ (SemanticCore.Wff.classMem (SemanticCore.Class.cv nb078AlphaDummy585) Compiler.CompactSourceSyntax.synCnnc).fv ∪ (Compiler.CompactSourceSyntax.synCplc (SemanticCore.Class.cv nb078AlphaDummy585)
Compiler.CompactSourceSyntax.synC1c).fv ∪ (SemanticCore.Class.cv nb078AlphaDummy585).fv
theorem
NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb078_support_mem_0601
(g : SemanticCore.Var)
:
nb078AlphaDummy587 g ∈ (SemanticCore.Wff.classMem (SemanticCore.Class.cv (nb078AlphaDummy587 g)) Compiler.CompactSourceSyntax.synCnnc).fv ∪ (Compiler.CompactSourceSyntax.synCplc (SemanticCore.Class.cv (nb078AlphaDummy587 g))
Compiler.CompactSourceSyntax.synC1c).fv ∪ (SemanticCore.Class.cv (nb078AlphaDummy587 g)).fv
theorem
NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb078_support_mem_0621 :
nb078AlphaDummy570 ∈ (Compiler.CompactSourceSyntax.synCcompl
(SemanticCore.Class.cab nb078AlphaDummy577
(Compiler.CompactSourceSyntax.synWrex nb078AlphaDummy578 (SemanticCore.Class.cv nb078AlphaDummy569)
(SemanticCore.Wff.classEq (SemanticCore.Class.cv nb078AlphaDummy577)
(Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv nb078AlphaDummy578)))))).fv ∪ (Compiler.CompactSourceSyntax.synCcompl
(SemanticCore.Class.cab nb078AlphaDummy577
(Compiler.CompactSourceSyntax.synWrex nb078AlphaDummy578 (SemanticCore.Class.cv nb078AlphaDummy570)
(SemanticCore.Wff.classEq (SemanticCore.Class.cv nb078AlphaDummy577)
(Compiler.CompactSourceSyntax.synCun
(Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv nb078AlphaDummy578))
(Compiler.CompactSourceSyntax.synCsn Compiler.CompactSourceSyntax.synC0c)))))).fv
theorem
NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb078_support_mem_0623
(g : SemanticCore.Var)
:
nb078AlphaDummy573 g ∈ (Compiler.CompactSourceSyntax.synCcompl
(SemanticCore.Class.cab (nb078AlphaDummy579 g)
(Compiler.CompactSourceSyntax.synWrex (nb078AlphaDummy580 g) (SemanticCore.Class.cv (nb078AlphaDummy572 g))
(SemanticCore.Wff.classEq (SemanticCore.Class.cv (nb078AlphaDummy579 g))
(Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv (nb078AlphaDummy580 g))))))).fv ∪ (Compiler.CompactSourceSyntax.synCcompl
(SemanticCore.Class.cab (nb078AlphaDummy579 g)
(Compiler.CompactSourceSyntax.synWrex (nb078AlphaDummy580 g) (SemanticCore.Class.cv (nb078AlphaDummy573 g))
(SemanticCore.Wff.classEq (SemanticCore.Class.cv (nb078AlphaDummy579 g))
(Compiler.CompactSourceSyntax.synCun
(Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv (nb078AlphaDummy580 g)))
(Compiler.CompactSourceSyntax.synCsn Compiler.CompactSourceSyntax.synC0c)))))).fv
theorem
NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb078_support_mem_0624 :
nb078AlphaDummy570 ∈ (SemanticCore.Class.cab nb078AlphaDummy577
(Compiler.CompactSourceSyntax.synWrex nb078AlphaDummy578 (SemanticCore.Class.cv nb078AlphaDummy570)
(SemanticCore.Wff.classEq (SemanticCore.Class.cv nb078AlphaDummy577)
(Compiler.CompactSourceSyntax.synCun
(Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv nb078AlphaDummy578))
(Compiler.CompactSourceSyntax.synCsn Compiler.CompactSourceSyntax.synC0c))))).fv ∪ (SemanticCore.Class.cab nb078AlphaDummy577
(Compiler.CompactSourceSyntax.synWrex nb078AlphaDummy578 (SemanticCore.Class.cv nb078AlphaDummy570)
(SemanticCore.Wff.classEq (SemanticCore.Class.cv nb078AlphaDummy577)
(Compiler.CompactSourceSyntax.synCun
(Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv nb078AlphaDummy578))
(Compiler.CompactSourceSyntax.synCsn Compiler.CompactSourceSyntax.synC0c))))).fv
theorem
NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb078_support_mem_0625
(g : SemanticCore.Var)
:
nb078AlphaDummy573 g ∈ (SemanticCore.Class.cab (nb078AlphaDummy579 g)
(Compiler.CompactSourceSyntax.synWrex (nb078AlphaDummy580 g) (SemanticCore.Class.cv (nb078AlphaDummy573 g))
(SemanticCore.Wff.classEq (SemanticCore.Class.cv (nb078AlphaDummy579 g))
(Compiler.CompactSourceSyntax.synCun
(Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv (nb078AlphaDummy580 g)))
(Compiler.CompactSourceSyntax.synCsn Compiler.CompactSourceSyntax.synC0c))))).fv ∪ (SemanticCore.Class.cab (nb078AlphaDummy579 g)
(Compiler.CompactSourceSyntax.synWrex (nb078AlphaDummy580 g) (SemanticCore.Class.cv (nb078AlphaDummy573 g))
(SemanticCore.Wff.classEq (SemanticCore.Class.cv (nb078AlphaDummy579 g))
(Compiler.CompactSourceSyntax.synCun
(Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv (nb078AlphaDummy580 g)))
(Compiler.CompactSourceSyntax.synCsn Compiler.CompactSourceSyntax.synC0c))))).fv
theorem
NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb078_support_mem_0631 :
nb078AlphaDummy569 ∈ (Compiler.CompactSourceSyntax.synCcompl
(SemanticCore.Class.cab nb078AlphaDummy613
(Compiler.CompactSourceSyntax.synWrex nb078AlphaDummy614 (SemanticCore.Class.cv nb078AlphaDummy569)
(SemanticCore.Wff.classEq (SemanticCore.Class.cv nb078AlphaDummy613)
(Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv nb078AlphaDummy614)))))).fv ∪ (Compiler.CompactSourceSyntax.synCcompl
(SemanticCore.Class.cab nb078AlphaDummy613
(Compiler.CompactSourceSyntax.synWrex nb078AlphaDummy614 (SemanticCore.Class.cv nb078AlphaDummy571)
(SemanticCore.Wff.classEq (SemanticCore.Class.cv nb078AlphaDummy613)
(Compiler.CompactSourceSyntax.synCun
(Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv nb078AlphaDummy614))
(Compiler.CompactSourceSyntax.synCsn Compiler.CompactSourceSyntax.synC0c)))))).fv
theorem
NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb078_support_mem_0633
(g : SemanticCore.Var)
:
nb078AlphaDummy572 g ∈ (Compiler.CompactSourceSyntax.synCcompl
(SemanticCore.Class.cab (nb078AlphaDummy615 g)
(Compiler.CompactSourceSyntax.synWrex (nb078AlphaDummy616 g) (SemanticCore.Class.cv (nb078AlphaDummy572 g))
(SemanticCore.Wff.classEq (SemanticCore.Class.cv (nb078AlphaDummy615 g))
(Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv (nb078AlphaDummy616 g))))))).fv ∪ (Compiler.CompactSourceSyntax.synCcompl
(SemanticCore.Class.cab (nb078AlphaDummy615 g)
(Compiler.CompactSourceSyntax.synWrex (nb078AlphaDummy616 g) (SemanticCore.Class.cv (nb078AlphaDummy574 g))
(SemanticCore.Wff.classEq (SemanticCore.Class.cv (nb078AlphaDummy615 g))
(Compiler.CompactSourceSyntax.synCun
(Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv (nb078AlphaDummy616 g)))
(Compiler.CompactSourceSyntax.synCsn Compiler.CompactSourceSyntax.synC0c)))))).fv
theorem
NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb078_support_mem_0634 :
nb078AlphaDummy569 ∈ (SemanticCore.Class.cab nb078AlphaDummy613
(Compiler.CompactSourceSyntax.synWrex nb078AlphaDummy614 (SemanticCore.Class.cv nb078AlphaDummy569)
(SemanticCore.Wff.classEq (SemanticCore.Class.cv nb078AlphaDummy613)
(Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv nb078AlphaDummy614))))).fv ∪ (SemanticCore.Class.cab nb078AlphaDummy613
(Compiler.CompactSourceSyntax.synWrex nb078AlphaDummy614 (SemanticCore.Class.cv nb078AlphaDummy569)
(SemanticCore.Wff.classEq (SemanticCore.Class.cv nb078AlphaDummy613)
(Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv nb078AlphaDummy614))))).fv
theorem
NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb078_support_mem_0635
(g : SemanticCore.Var)
:
nb078AlphaDummy572 g ∈ (SemanticCore.Class.cab (nb078AlphaDummy615 g)
(Compiler.CompactSourceSyntax.synWrex (nb078AlphaDummy616 g) (SemanticCore.Class.cv (nb078AlphaDummy572 g))
(SemanticCore.Wff.classEq (SemanticCore.Class.cv (nb078AlphaDummy615 g))
(Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv (nb078AlphaDummy616 g)))))).fv ∪ (SemanticCore.Class.cab (nb078AlphaDummy615 g)
(Compiler.CompactSourceSyntax.synWrex (nb078AlphaDummy616 g) (SemanticCore.Class.cv (nb078AlphaDummy572 g))
(SemanticCore.Wff.classEq (SemanticCore.Class.cv (nb078AlphaDummy615 g))
(Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv (nb078AlphaDummy616 g)))))).fv
theorem
NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb078_support_mem_0638 :
nb078AlphaDummy621 ∈ (SemanticCore.Wff.classMem (SemanticCore.Class.cv nb078AlphaDummy621) Compiler.CompactSourceSyntax.synCnnc).fv ∪ (Compiler.CompactSourceSyntax.synCplc (SemanticCore.Class.cv nb078AlphaDummy621)
Compiler.CompactSourceSyntax.synC1c).fv ∪ (SemanticCore.Class.cv nb078AlphaDummy621).fv
theorem
NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb078_support_mem_0639
(g : SemanticCore.Var)
:
nb078AlphaDummy623 g ∈ (SemanticCore.Wff.classMem (SemanticCore.Class.cv (nb078AlphaDummy623 g)) Compiler.CompactSourceSyntax.synCnnc).fv ∪ (Compiler.CompactSourceSyntax.synCplc (SemanticCore.Class.cv (nb078AlphaDummy623 g))
Compiler.CompactSourceSyntax.synC1c).fv ∪ (SemanticCore.Class.cv (nb078AlphaDummy623 g)).fv
theorem
NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb078_support_mem_0659 :
nb078AlphaDummy571 ∈ (Compiler.CompactSourceSyntax.synCcompl
(SemanticCore.Class.cab nb078AlphaDummy613
(Compiler.CompactSourceSyntax.synWrex nb078AlphaDummy614 (SemanticCore.Class.cv nb078AlphaDummy569)
(SemanticCore.Wff.classEq (SemanticCore.Class.cv nb078AlphaDummy613)
(Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv nb078AlphaDummy614)))))).fv ∪ (Compiler.CompactSourceSyntax.synCcompl
(SemanticCore.Class.cab nb078AlphaDummy613
(Compiler.CompactSourceSyntax.synWrex nb078AlphaDummy614 (SemanticCore.Class.cv nb078AlphaDummy571)
(SemanticCore.Wff.classEq (SemanticCore.Class.cv nb078AlphaDummy613)
(Compiler.CompactSourceSyntax.synCun
(Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv nb078AlphaDummy614))
(Compiler.CompactSourceSyntax.synCsn Compiler.CompactSourceSyntax.synC0c)))))).fv
theorem
NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb078_support_mem_0661
(g : SemanticCore.Var)
:
nb078AlphaDummy574 g ∈ (Compiler.CompactSourceSyntax.synCcompl
(SemanticCore.Class.cab (nb078AlphaDummy615 g)
(Compiler.CompactSourceSyntax.synWrex (nb078AlphaDummy616 g) (SemanticCore.Class.cv (nb078AlphaDummy572 g))
(SemanticCore.Wff.classEq (SemanticCore.Class.cv (nb078AlphaDummy615 g))
(Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv (nb078AlphaDummy616 g))))))).fv ∪ (Compiler.CompactSourceSyntax.synCcompl
(SemanticCore.Class.cab (nb078AlphaDummy615 g)
(Compiler.CompactSourceSyntax.synWrex (nb078AlphaDummy616 g) (SemanticCore.Class.cv (nb078AlphaDummy574 g))
(SemanticCore.Wff.classEq (SemanticCore.Class.cv (nb078AlphaDummy615 g))
(Compiler.CompactSourceSyntax.synCun
(Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv (nb078AlphaDummy616 g)))
(Compiler.CompactSourceSyntax.synCsn Compiler.CompactSourceSyntax.synC0c)))))).fv
theorem
NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb078_support_mem_0662 :
nb078AlphaDummy571 ∈ (SemanticCore.Class.cab nb078AlphaDummy613
(Compiler.CompactSourceSyntax.synWrex nb078AlphaDummy614 (SemanticCore.Class.cv nb078AlphaDummy571)
(SemanticCore.Wff.classEq (SemanticCore.Class.cv nb078AlphaDummy613)
(Compiler.CompactSourceSyntax.synCun
(Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv nb078AlphaDummy614))
(Compiler.CompactSourceSyntax.synCsn Compiler.CompactSourceSyntax.synC0c))))).fv ∪ (SemanticCore.Class.cab nb078AlphaDummy613
(Compiler.CompactSourceSyntax.synWrex nb078AlphaDummy614 (SemanticCore.Class.cv nb078AlphaDummy571)
(SemanticCore.Wff.classEq (SemanticCore.Class.cv nb078AlphaDummy613)
(Compiler.CompactSourceSyntax.synCun
(Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv nb078AlphaDummy614))
(Compiler.CompactSourceSyntax.synCsn Compiler.CompactSourceSyntax.synC0c))))).fv
theorem
NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb078_support_mem_0663
(g : SemanticCore.Var)
:
nb078AlphaDummy574 g ∈ (SemanticCore.Class.cab (nb078AlphaDummy615 g)
(Compiler.CompactSourceSyntax.synWrex (nb078AlphaDummy616 g) (SemanticCore.Class.cv (nb078AlphaDummy574 g))
(SemanticCore.Wff.classEq (SemanticCore.Class.cv (nb078AlphaDummy615 g))
(Compiler.CompactSourceSyntax.synCun
(Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv (nb078AlphaDummy616 g)))
(Compiler.CompactSourceSyntax.synCsn Compiler.CompactSourceSyntax.synC0c))))).fv ∪ (SemanticCore.Class.cab (nb078AlphaDummy615 g)
(Compiler.CompactSourceSyntax.synWrex (nb078AlphaDummy616 g) (SemanticCore.Class.cv (nb078AlphaDummy574 g))
(SemanticCore.Wff.classEq (SemanticCore.Class.cv (nb078AlphaDummy615 g))
(Compiler.CompactSourceSyntax.synCun
(Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv (nb078AlphaDummy616 g)))
(Compiler.CompactSourceSyntax.synCsn Compiler.CompactSourceSyntax.synC0c))))).fv
theorem
NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb078_support_mem_0673 :
nb078AlphaDummy649 ∈ (Compiler.CompactSourceSyntax.synCcompl
(SemanticCore.Class.cab nb078AlphaDummy655
(Compiler.CompactSourceSyntax.synWrex nb078AlphaDummy656 (SemanticCore.Class.cv nb078AlphaDummy649)
(SemanticCore.Wff.classEq (SemanticCore.Class.cv nb078AlphaDummy655)
(Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv nb078AlphaDummy656)))))).fv ∪ (Compiler.CompactSourceSyntax.synCcompl
(SemanticCore.Class.cab nb078AlphaDummy655
(Compiler.CompactSourceSyntax.synWrex nb078AlphaDummy656 (SemanticCore.Class.cv nb078AlphaDummy650)
(SemanticCore.Wff.classEq (SemanticCore.Class.cv nb078AlphaDummy655)
(Compiler.CompactSourceSyntax.synCun
(Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv nb078AlphaDummy656))
(Compiler.CompactSourceSyntax.synCsn Compiler.CompactSourceSyntax.synC0c)))))).fv
theorem
NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb078_support_mem_0675
(g : SemanticCore.Var)
:
nb078AlphaDummy651 g ∈ (Compiler.CompactSourceSyntax.synCcompl
(SemanticCore.Class.cab (nb078AlphaDummy657 g)
(Compiler.CompactSourceSyntax.synWrex (nb078AlphaDummy658 g) (SemanticCore.Class.cv (nb078AlphaDummy651 g))
(SemanticCore.Wff.classEq (SemanticCore.Class.cv (nb078AlphaDummy657 g))
(Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv (nb078AlphaDummy658 g))))))).fv ∪ (Compiler.CompactSourceSyntax.synCcompl
(SemanticCore.Class.cab (nb078AlphaDummy657 g)
(Compiler.CompactSourceSyntax.synWrex (nb078AlphaDummy658 g) (SemanticCore.Class.cv (nb078AlphaDummy652 g))
(SemanticCore.Wff.classEq (SemanticCore.Class.cv (nb078AlphaDummy657 g))
(Compiler.CompactSourceSyntax.synCun
(Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv (nb078AlphaDummy658 g)))
(Compiler.CompactSourceSyntax.synCsn Compiler.CompactSourceSyntax.synC0c)))))).fv
theorem
NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb078_support_mem_0676 :
nb078AlphaDummy649 ∈ (SemanticCore.Class.cab nb078AlphaDummy655
(Compiler.CompactSourceSyntax.synWrex nb078AlphaDummy656 (SemanticCore.Class.cv nb078AlphaDummy649)
(SemanticCore.Wff.classEq (SemanticCore.Class.cv nb078AlphaDummy655)
(Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv nb078AlphaDummy656))))).fv ∪ (SemanticCore.Class.cab nb078AlphaDummy655
(Compiler.CompactSourceSyntax.synWrex nb078AlphaDummy656 (SemanticCore.Class.cv nb078AlphaDummy649)
(SemanticCore.Wff.classEq (SemanticCore.Class.cv nb078AlphaDummy655)
(Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv nb078AlphaDummy656))))).fv
theorem
NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb078_support_mem_0677
(g : SemanticCore.Var)
:
nb078AlphaDummy651 g ∈ (SemanticCore.Class.cab (nb078AlphaDummy657 g)
(Compiler.CompactSourceSyntax.synWrex (nb078AlphaDummy658 g) (SemanticCore.Class.cv (nb078AlphaDummy651 g))
(SemanticCore.Wff.classEq (SemanticCore.Class.cv (nb078AlphaDummy657 g))
(Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv (nb078AlphaDummy658 g)))))).fv ∪ (SemanticCore.Class.cab (nb078AlphaDummy657 g)
(Compiler.CompactSourceSyntax.synWrex (nb078AlphaDummy658 g) (SemanticCore.Class.cv (nb078AlphaDummy651 g))
(SemanticCore.Wff.classEq (SemanticCore.Class.cv (nb078AlphaDummy657 g))
(Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv (nb078AlphaDummy658 g)))))).fv
theorem
NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb078_support_mem_0680 :
nb078AlphaDummy663 ∈ (SemanticCore.Wff.classMem (SemanticCore.Class.cv nb078AlphaDummy663) Compiler.CompactSourceSyntax.synCnnc).fv ∪ (Compiler.CompactSourceSyntax.synCplc (SemanticCore.Class.cv nb078AlphaDummy663)
Compiler.CompactSourceSyntax.synC1c).fv ∪ (SemanticCore.Class.cv nb078AlphaDummy663).fv
theorem
NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb078_support_mem_0681
(g : SemanticCore.Var)
:
nb078AlphaDummy665 g ∈ (SemanticCore.Wff.classMem (SemanticCore.Class.cv (nb078AlphaDummy665 g)) Compiler.CompactSourceSyntax.synCnnc).fv ∪ (Compiler.CompactSourceSyntax.synCplc (SemanticCore.Class.cv (nb078AlphaDummy665 g))
Compiler.CompactSourceSyntax.synC1c).fv ∪ (SemanticCore.Class.cv (nb078AlphaDummy665 g)).fv
theorem
NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb078_support_mem_0701 :
nb078AlphaDummy650 ∈ (Compiler.CompactSourceSyntax.synCcompl
(SemanticCore.Class.cab nb078AlphaDummy655
(Compiler.CompactSourceSyntax.synWrex nb078AlphaDummy656 (SemanticCore.Class.cv nb078AlphaDummy649)
(SemanticCore.Wff.classEq (SemanticCore.Class.cv nb078AlphaDummy655)
(Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv nb078AlphaDummy656)))))).fv ∪ (Compiler.CompactSourceSyntax.synCcompl
(SemanticCore.Class.cab nb078AlphaDummy655
(Compiler.CompactSourceSyntax.synWrex nb078AlphaDummy656 (SemanticCore.Class.cv nb078AlphaDummy650)
(SemanticCore.Wff.classEq (SemanticCore.Class.cv nb078AlphaDummy655)
(Compiler.CompactSourceSyntax.synCun
(Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv nb078AlphaDummy656))
(Compiler.CompactSourceSyntax.synCsn Compiler.CompactSourceSyntax.synC0c)))))).fv
theorem
NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb078_support_mem_0703
(g : SemanticCore.Var)
:
nb078AlphaDummy652 g ∈ (Compiler.CompactSourceSyntax.synCcompl
(SemanticCore.Class.cab (nb078AlphaDummy657 g)
(Compiler.CompactSourceSyntax.synWrex (nb078AlphaDummy658 g) (SemanticCore.Class.cv (nb078AlphaDummy651 g))
(SemanticCore.Wff.classEq (SemanticCore.Class.cv (nb078AlphaDummy657 g))
(Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv (nb078AlphaDummy658 g))))))).fv ∪ (Compiler.CompactSourceSyntax.synCcompl
(SemanticCore.Class.cab (nb078AlphaDummy657 g)
(Compiler.CompactSourceSyntax.synWrex (nb078AlphaDummy658 g) (SemanticCore.Class.cv (nb078AlphaDummy652 g))
(SemanticCore.Wff.classEq (SemanticCore.Class.cv (nb078AlphaDummy657 g))
(Compiler.CompactSourceSyntax.synCun
(Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv (nb078AlphaDummy658 g)))
(Compiler.CompactSourceSyntax.synCsn Compiler.CompactSourceSyntax.synC0c)))))).fv
theorem
NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb078_support_mem_0704 :
nb078AlphaDummy650 ∈ (SemanticCore.Class.cab nb078AlphaDummy655
(Compiler.CompactSourceSyntax.synWrex nb078AlphaDummy656 (SemanticCore.Class.cv nb078AlphaDummy650)
(SemanticCore.Wff.classEq (SemanticCore.Class.cv nb078AlphaDummy655)
(Compiler.CompactSourceSyntax.synCun
(Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv nb078AlphaDummy656))
(Compiler.CompactSourceSyntax.synCsn Compiler.CompactSourceSyntax.synC0c))))).fv ∪ (SemanticCore.Class.cab nb078AlphaDummy655
(Compiler.CompactSourceSyntax.synWrex nb078AlphaDummy656 (SemanticCore.Class.cv nb078AlphaDummy650)
(SemanticCore.Wff.classEq (SemanticCore.Class.cv nb078AlphaDummy655)
(Compiler.CompactSourceSyntax.synCun
(Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv nb078AlphaDummy656))
(Compiler.CompactSourceSyntax.synCsn Compiler.CompactSourceSyntax.synC0c))))).fv
theorem
NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb078_support_mem_0705
(g : SemanticCore.Var)
:
nb078AlphaDummy652 g ∈ (SemanticCore.Class.cab (nb078AlphaDummy657 g)
(Compiler.CompactSourceSyntax.synWrex (nb078AlphaDummy658 g) (SemanticCore.Class.cv (nb078AlphaDummy652 g))
(SemanticCore.Wff.classEq (SemanticCore.Class.cv (nb078AlphaDummy657 g))
(Compiler.CompactSourceSyntax.synCun
(Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv (nb078AlphaDummy658 g)))
(Compiler.CompactSourceSyntax.synCsn Compiler.CompactSourceSyntax.synC0c))))).fv ∪ (SemanticCore.Class.cab (nb078AlphaDummy657 g)
(Compiler.CompactSourceSyntax.synWrex (nb078AlphaDummy658 g) (SemanticCore.Class.cv (nb078AlphaDummy652 g))
(SemanticCore.Wff.classEq (SemanticCore.Class.cv (nb078AlphaDummy657 g))
(Compiler.CompactSourceSyntax.synCun
(Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv (nb078AlphaDummy658 g)))
(Compiler.CompactSourceSyntax.synCsn Compiler.CompactSourceSyntax.synC0c))))).fv
theorem
NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb078_support_mem_0711 :
nb078AlphaDummy650 ∈ (Compiler.CompactSourceSyntax.synCcompl
(SemanticCore.Class.cab nb078AlphaDummy691
(Compiler.CompactSourceSyntax.synWrex nb078AlphaDummy692 (SemanticCore.Class.cv nb078AlphaDummy650)
(SemanticCore.Wff.classEq (SemanticCore.Class.cv nb078AlphaDummy691)
(Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv nb078AlphaDummy692)))))).fv ∪ (Compiler.CompactSourceSyntax.synCcompl
(SemanticCore.Class.cab nb078AlphaDummy691
(Compiler.CompactSourceSyntax.synWrex nb078AlphaDummy692 (SemanticCore.Class.cv nb078AlphaDummy649)
(SemanticCore.Wff.classEq (SemanticCore.Class.cv nb078AlphaDummy691)
(Compiler.CompactSourceSyntax.synCun
(Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv nb078AlphaDummy692))
(Compiler.CompactSourceSyntax.synCsn Compiler.CompactSourceSyntax.synC0c)))))).fv
theorem
NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb078_support_mem_0713
(g : SemanticCore.Var)
:
nb078AlphaDummy652 g ∈ (Compiler.CompactSourceSyntax.synCcompl
(SemanticCore.Class.cab (nb078AlphaDummy693 g)
(Compiler.CompactSourceSyntax.synWrex (nb078AlphaDummy694 g) (SemanticCore.Class.cv (nb078AlphaDummy652 g))
(SemanticCore.Wff.classEq (SemanticCore.Class.cv (nb078AlphaDummy693 g))
(Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv (nb078AlphaDummy694 g))))))).fv ∪ (Compiler.CompactSourceSyntax.synCcompl
(SemanticCore.Class.cab (nb078AlphaDummy693 g)
(Compiler.CompactSourceSyntax.synWrex (nb078AlphaDummy694 g) (SemanticCore.Class.cv (nb078AlphaDummy651 g))
(SemanticCore.Wff.classEq (SemanticCore.Class.cv (nb078AlphaDummy693 g))
(Compiler.CompactSourceSyntax.synCun
(Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv (nb078AlphaDummy694 g)))
(Compiler.CompactSourceSyntax.synCsn Compiler.CompactSourceSyntax.synC0c)))))).fv
theorem
NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb078_support_mem_0714 :
nb078AlphaDummy650 ∈ (SemanticCore.Class.cab nb078AlphaDummy691
(Compiler.CompactSourceSyntax.synWrex nb078AlphaDummy692 (SemanticCore.Class.cv nb078AlphaDummy650)
(SemanticCore.Wff.classEq (SemanticCore.Class.cv nb078AlphaDummy691)
(Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv nb078AlphaDummy692))))).fv ∪ (SemanticCore.Class.cab nb078AlphaDummy691
(Compiler.CompactSourceSyntax.synWrex nb078AlphaDummy692 (SemanticCore.Class.cv nb078AlphaDummy650)
(SemanticCore.Wff.classEq (SemanticCore.Class.cv nb078AlphaDummy691)
(Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv nb078AlphaDummy692))))).fv
theorem
NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb078_support_mem_0715
(g : SemanticCore.Var)
:
nb078AlphaDummy652 g ∈ (SemanticCore.Class.cab (nb078AlphaDummy693 g)
(Compiler.CompactSourceSyntax.synWrex (nb078AlphaDummy694 g) (SemanticCore.Class.cv (nb078AlphaDummy652 g))
(SemanticCore.Wff.classEq (SemanticCore.Class.cv (nb078AlphaDummy693 g))
(Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv (nb078AlphaDummy694 g)))))).fv ∪ (SemanticCore.Class.cab (nb078AlphaDummy693 g)
(Compiler.CompactSourceSyntax.synWrex (nb078AlphaDummy694 g) (SemanticCore.Class.cv (nb078AlphaDummy652 g))
(SemanticCore.Wff.classEq (SemanticCore.Class.cv (nb078AlphaDummy693 g))
(Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv (nb078AlphaDummy694 g)))))).fv
theorem
NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb078_support_mem_0718 :
nb078AlphaDummy699 ∈ (SemanticCore.Wff.classMem (SemanticCore.Class.cv nb078AlphaDummy699) Compiler.CompactSourceSyntax.synCnnc).fv ∪ (Compiler.CompactSourceSyntax.synCplc (SemanticCore.Class.cv nb078AlphaDummy699)
Compiler.CompactSourceSyntax.synC1c).fv ∪ (SemanticCore.Class.cv nb078AlphaDummy699).fv
theorem
NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb078_support_mem_0719
(g : SemanticCore.Var)
:
nb078AlphaDummy701 g ∈ (SemanticCore.Wff.classMem (SemanticCore.Class.cv (nb078AlphaDummy701 g)) Compiler.CompactSourceSyntax.synCnnc).fv ∪ (Compiler.CompactSourceSyntax.synCplc (SemanticCore.Class.cv (nb078AlphaDummy701 g))
Compiler.CompactSourceSyntax.synC1c).fv ∪ (SemanticCore.Class.cv (nb078AlphaDummy701 g)).fv
theorem
NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb078_support_mem_0739 :
nb078AlphaDummy649 ∈ (Compiler.CompactSourceSyntax.synCcompl
(SemanticCore.Class.cab nb078AlphaDummy691
(Compiler.CompactSourceSyntax.synWrex nb078AlphaDummy692 (SemanticCore.Class.cv nb078AlphaDummy650)
(SemanticCore.Wff.classEq (SemanticCore.Class.cv nb078AlphaDummy691)
(Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv nb078AlphaDummy692)))))).fv ∪ (Compiler.CompactSourceSyntax.synCcompl
(SemanticCore.Class.cab nb078AlphaDummy691
(Compiler.CompactSourceSyntax.synWrex nb078AlphaDummy692 (SemanticCore.Class.cv nb078AlphaDummy649)
(SemanticCore.Wff.classEq (SemanticCore.Class.cv nb078AlphaDummy691)
(Compiler.CompactSourceSyntax.synCun
(Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv nb078AlphaDummy692))
(Compiler.CompactSourceSyntax.synCsn Compiler.CompactSourceSyntax.synC0c)))))).fv
Certificates from NAR4C078C001Part027.
theorem
NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb078_support_mem_0741
(g : SemanticCore.Var)
:
nb078AlphaDummy651 g ∈ (Compiler.CompactSourceSyntax.synCcompl
(SemanticCore.Class.cab (nb078AlphaDummy693 g)
(Compiler.CompactSourceSyntax.synWrex (nb078AlphaDummy694 g) (SemanticCore.Class.cv (nb078AlphaDummy652 g))
(SemanticCore.Wff.classEq (SemanticCore.Class.cv (nb078AlphaDummy693 g))
(Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv (nb078AlphaDummy694 g))))))).fv ∪ (Compiler.CompactSourceSyntax.synCcompl
(SemanticCore.Class.cab (nb078AlphaDummy693 g)
(Compiler.CompactSourceSyntax.synWrex (nb078AlphaDummy694 g) (SemanticCore.Class.cv (nb078AlphaDummy651 g))
(SemanticCore.Wff.classEq (SemanticCore.Class.cv (nb078AlphaDummy693 g))
(Compiler.CompactSourceSyntax.synCun
(Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv (nb078AlphaDummy694 g)))
(Compiler.CompactSourceSyntax.synCsn Compiler.CompactSourceSyntax.synC0c)))))).fv
theorem
NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb078_support_mem_0742 :
nb078AlphaDummy649 ∈ (SemanticCore.Class.cab nb078AlphaDummy691
(Compiler.CompactSourceSyntax.synWrex nb078AlphaDummy692 (SemanticCore.Class.cv nb078AlphaDummy649)
(SemanticCore.Wff.classEq (SemanticCore.Class.cv nb078AlphaDummy691)
(Compiler.CompactSourceSyntax.synCun
(Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv nb078AlphaDummy692))
(Compiler.CompactSourceSyntax.synCsn Compiler.CompactSourceSyntax.synC0c))))).fv ∪ (SemanticCore.Class.cab nb078AlphaDummy691
(Compiler.CompactSourceSyntax.synWrex nb078AlphaDummy692 (SemanticCore.Class.cv nb078AlphaDummy649)
(SemanticCore.Wff.classEq (SemanticCore.Class.cv nb078AlphaDummy691)
(Compiler.CompactSourceSyntax.synCun
(Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv nb078AlphaDummy692))
(Compiler.CompactSourceSyntax.synCsn Compiler.CompactSourceSyntax.synC0c))))).fv
theorem
NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb078_support_mem_0743
(g : SemanticCore.Var)
:
nb078AlphaDummy651 g ∈ (SemanticCore.Class.cab (nb078AlphaDummy693 g)
(Compiler.CompactSourceSyntax.synWrex (nb078AlphaDummy694 g) (SemanticCore.Class.cv (nb078AlphaDummy651 g))
(SemanticCore.Wff.classEq (SemanticCore.Class.cv (nb078AlphaDummy693 g))
(Compiler.CompactSourceSyntax.synCun
(Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv (nb078AlphaDummy694 g)))
(Compiler.CompactSourceSyntax.synCsn Compiler.CompactSourceSyntax.synC0c))))).fv ∪ (SemanticCore.Class.cab (nb078AlphaDummy693 g)
(Compiler.CompactSourceSyntax.synWrex (nb078AlphaDummy694 g) (SemanticCore.Class.cv (nb078AlphaDummy651 g))
(SemanticCore.Wff.classEq (SemanticCore.Class.cv (nb078AlphaDummy693 g))
(Compiler.CompactSourceSyntax.synCun
(Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv (nb078AlphaDummy694 g)))
(Compiler.CompactSourceSyntax.synCsn Compiler.CompactSourceSyntax.synC0c))))).fv
theorem
NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb078_support_mem_0748 :
nb078AlphaDummy001 ∈ (Compiler.CompactSourceSyntax.synCnin
(Compiler.CompactSourceSyntax.synCcom
(Compiler.CompactSourceSyntax.synCcnv (SemanticCore.Class.cv nb078AlphaDummy001))
(Compiler.CompactSourceSyntax.synCcnv
(Compiler.CompactSourceSyntax.synCcnv (SemanticCore.Class.cv nb078AlphaDummy001))))
Compiler.CompactSourceSyntax.synCid).fv ∪ (Compiler.CompactSourceSyntax.synCnin
(Compiler.CompactSourceSyntax.synCcom
(Compiler.CompactSourceSyntax.synCcnv (SemanticCore.Class.cv nb078AlphaDummy001))
(Compiler.CompactSourceSyntax.synCcnv
(Compiler.CompactSourceSyntax.synCcnv (SemanticCore.Class.cv nb078AlphaDummy001))))
Compiler.CompactSourceSyntax.synCid).fv
theorem
NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb078_support_mem_0749
(g : SemanticCore.Var)
:
g ∈ (Compiler.CompactSourceSyntax.synCnin
(Compiler.CompactSourceSyntax.synCcom (Compiler.CompactSourceSyntax.synCcnv (SemanticCore.Class.cv g))
(Compiler.CompactSourceSyntax.synCcnv (Compiler.CompactSourceSyntax.synCcnv (SemanticCore.Class.cv g))))
Compiler.CompactSourceSyntax.synCid).fv ∪ (Compiler.CompactSourceSyntax.synCnin
(Compiler.CompactSourceSyntax.synCcom (Compiler.CompactSourceSyntax.synCcnv (SemanticCore.Class.cv g))
(Compiler.CompactSourceSyntax.synCcnv (Compiler.CompactSourceSyntax.synCcnv (SemanticCore.Class.cv g))))
Compiler.CompactSourceSyntax.synCid).fv
theorem
NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb078_support_mem_0750 :
nb078AlphaDummy001 ∈ (Compiler.CompactSourceSyntax.synCcom
(Compiler.CompactSourceSyntax.synCcnv (SemanticCore.Class.cv nb078AlphaDummy001))
(Compiler.CompactSourceSyntax.synCcnv
(Compiler.CompactSourceSyntax.synCcnv (SemanticCore.Class.cv nb078AlphaDummy001)))).fv ∪ Compiler.CompactSourceSyntax.synCid.fv
theorem
NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb078_support_mem_0753 :
nb078AlphaDummy001 ∈ {nb078AlphaDummy569} ∪ {nb078AlphaDummy570} ∪ (Compiler.CompactSourceSyntax.synWex nb078AlphaDummy571
(Compiler.CompactSourceSyntax.synWa
(Compiler.CompactSourceSyntax.synWbr (SemanticCore.Class.cv nb078AlphaDummy569)
(Compiler.CompactSourceSyntax.synCcnv
(Compiler.CompactSourceSyntax.synCcnv (SemanticCore.Class.cv nb078AlphaDummy001)))
(SemanticCore.Class.cv nb078AlphaDummy571))
(Compiler.CompactSourceSyntax.synWbr (SemanticCore.Class.cv nb078AlphaDummy571)
(Compiler.CompactSourceSyntax.synCcnv (SemanticCore.Class.cv nb078AlphaDummy001))
(SemanticCore.Class.cv nb078AlphaDummy570)))).fv
theorem
NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb078_support_mem_0755
(g : SemanticCore.Var)
:
g ∈ {nb078AlphaDummy572 g} ∪ {nb078AlphaDummy573 g} ∪ (Compiler.CompactSourceSyntax.synWex (nb078AlphaDummy574 g)
(Compiler.CompactSourceSyntax.synWa
(Compiler.CompactSourceSyntax.synWbr (SemanticCore.Class.cv (nb078AlphaDummy572 g))
(Compiler.CompactSourceSyntax.synCcnv (Compiler.CompactSourceSyntax.synCcnv (SemanticCore.Class.cv g)))
(SemanticCore.Class.cv (nb078AlphaDummy574 g)))
(Compiler.CompactSourceSyntax.synWbr (SemanticCore.Class.cv (nb078AlphaDummy574 g))
(Compiler.CompactSourceSyntax.synCcnv (SemanticCore.Class.cv g))
(SemanticCore.Class.cv (nb078AlphaDummy573 g))))).fv
theorem
NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb078_support_mem_0761 :
nb078AlphaDummy571 ∈ (Compiler.CompactSourceSyntax.synCcompl
(SemanticCore.Class.cab nb078AlphaDummy727
(Compiler.CompactSourceSyntax.synWrex nb078AlphaDummy728 (SemanticCore.Class.cv nb078AlphaDummy571)
(SemanticCore.Wff.classEq (SemanticCore.Class.cv nb078AlphaDummy727)
(Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv nb078AlphaDummy728)))))).fv ∪ (Compiler.CompactSourceSyntax.synCcompl
(SemanticCore.Class.cab nb078AlphaDummy727
(Compiler.CompactSourceSyntax.synWrex nb078AlphaDummy728 (SemanticCore.Class.cv nb078AlphaDummy570)
(SemanticCore.Wff.classEq (SemanticCore.Class.cv nb078AlphaDummy727)
(Compiler.CompactSourceSyntax.synCun
(Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv nb078AlphaDummy728))
(Compiler.CompactSourceSyntax.synCsn Compiler.CompactSourceSyntax.synC0c)))))).fv
theorem
NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb078_support_mem_0763
(g : SemanticCore.Var)
:
nb078AlphaDummy574 g ∈ (Compiler.CompactSourceSyntax.synCcompl
(SemanticCore.Class.cab (nb078AlphaDummy729 g)
(Compiler.CompactSourceSyntax.synWrex (nb078AlphaDummy730 g) (SemanticCore.Class.cv (nb078AlphaDummy574 g))
(SemanticCore.Wff.classEq (SemanticCore.Class.cv (nb078AlphaDummy729 g))
(Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv (nb078AlphaDummy730 g))))))).fv ∪ (Compiler.CompactSourceSyntax.synCcompl
(SemanticCore.Class.cab (nb078AlphaDummy729 g)
(Compiler.CompactSourceSyntax.synWrex (nb078AlphaDummy730 g) (SemanticCore.Class.cv (nb078AlphaDummy573 g))
(SemanticCore.Wff.classEq (SemanticCore.Class.cv (nb078AlphaDummy729 g))
(Compiler.CompactSourceSyntax.synCun
(Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv (nb078AlphaDummy730 g)))
(Compiler.CompactSourceSyntax.synCsn Compiler.CompactSourceSyntax.synC0c)))))).fv
theorem
NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb078_support_mem_0764 :
nb078AlphaDummy571 ∈ (SemanticCore.Class.cab nb078AlphaDummy727
(Compiler.CompactSourceSyntax.synWrex nb078AlphaDummy728 (SemanticCore.Class.cv nb078AlphaDummy571)
(SemanticCore.Wff.classEq (SemanticCore.Class.cv nb078AlphaDummy727)
(Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv nb078AlphaDummy728))))).fv ∪ (SemanticCore.Class.cab nb078AlphaDummy727
(Compiler.CompactSourceSyntax.synWrex nb078AlphaDummy728 (SemanticCore.Class.cv nb078AlphaDummy571)
(SemanticCore.Wff.classEq (SemanticCore.Class.cv nb078AlphaDummy727)
(Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv nb078AlphaDummy728))))).fv
theorem
NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb078_support_mem_0765
(g : SemanticCore.Var)
:
nb078AlphaDummy574 g ∈ (SemanticCore.Class.cab (nb078AlphaDummy729 g)
(Compiler.CompactSourceSyntax.synWrex (nb078AlphaDummy730 g) (SemanticCore.Class.cv (nb078AlphaDummy574 g))
(SemanticCore.Wff.classEq (SemanticCore.Class.cv (nb078AlphaDummy729 g))
(Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv (nb078AlphaDummy730 g)))))).fv ∪ (SemanticCore.Class.cab (nb078AlphaDummy729 g)
(Compiler.CompactSourceSyntax.synWrex (nb078AlphaDummy730 g) (SemanticCore.Class.cv (nb078AlphaDummy574 g))
(SemanticCore.Wff.classEq (SemanticCore.Class.cv (nb078AlphaDummy729 g))
(Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv (nb078AlphaDummy730 g)))))).fv
theorem
NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb078_support_mem_0768 :
nb078AlphaDummy735 ∈ (SemanticCore.Wff.classMem (SemanticCore.Class.cv nb078AlphaDummy735) Compiler.CompactSourceSyntax.synCnnc).fv ∪ (Compiler.CompactSourceSyntax.synCplc (SemanticCore.Class.cv nb078AlphaDummy735)
Compiler.CompactSourceSyntax.synC1c).fv ∪ (SemanticCore.Class.cv nb078AlphaDummy735).fv
theorem
NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb078_support_mem_0769
(g : SemanticCore.Var)
:
nb078AlphaDummy737 g ∈ (SemanticCore.Wff.classMem (SemanticCore.Class.cv (nb078AlphaDummy737 g)) Compiler.CompactSourceSyntax.synCnnc).fv ∪ (Compiler.CompactSourceSyntax.synCplc (SemanticCore.Class.cv (nb078AlphaDummy737 g))
Compiler.CompactSourceSyntax.synC1c).fv ∪ (SemanticCore.Class.cv (nb078AlphaDummy737 g)).fv
theorem
NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb078_support_mem_0789 :
nb078AlphaDummy570 ∈ (Compiler.CompactSourceSyntax.synCcompl
(SemanticCore.Class.cab nb078AlphaDummy727
(Compiler.CompactSourceSyntax.synWrex nb078AlphaDummy728 (SemanticCore.Class.cv nb078AlphaDummy571)
(SemanticCore.Wff.classEq (SemanticCore.Class.cv nb078AlphaDummy727)
(Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv nb078AlphaDummy728)))))).fv ∪ (Compiler.CompactSourceSyntax.synCcompl
(SemanticCore.Class.cab nb078AlphaDummy727
(Compiler.CompactSourceSyntax.synWrex nb078AlphaDummy728 (SemanticCore.Class.cv nb078AlphaDummy570)
(SemanticCore.Wff.classEq (SemanticCore.Class.cv nb078AlphaDummy727)
(Compiler.CompactSourceSyntax.synCun
(Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv nb078AlphaDummy728))
(Compiler.CompactSourceSyntax.synCsn Compiler.CompactSourceSyntax.synC0c)))))).fv
theorem
NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb078_support_mem_0791
(g : SemanticCore.Var)
:
nb078AlphaDummy573 g ∈ (Compiler.CompactSourceSyntax.synCcompl
(SemanticCore.Class.cab (nb078AlphaDummy729 g)
(Compiler.CompactSourceSyntax.synWrex (nb078AlphaDummy730 g) (SemanticCore.Class.cv (nb078AlphaDummy574 g))
(SemanticCore.Wff.classEq (SemanticCore.Class.cv (nb078AlphaDummy729 g))
(Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv (nb078AlphaDummy730 g))))))).fv ∪ (Compiler.CompactSourceSyntax.synCcompl
(SemanticCore.Class.cab (nb078AlphaDummy729 g)
(Compiler.CompactSourceSyntax.synWrex (nb078AlphaDummy730 g) (SemanticCore.Class.cv (nb078AlphaDummy573 g))
(SemanticCore.Wff.classEq (SemanticCore.Class.cv (nb078AlphaDummy729 g))
(Compiler.CompactSourceSyntax.synCun
(Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv (nb078AlphaDummy730 g)))
(Compiler.CompactSourceSyntax.synCsn Compiler.CompactSourceSyntax.synC0c)))))).fv
theorem
NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb078_support_mem_0792 :
nb078AlphaDummy570 ∈ (SemanticCore.Class.cab nb078AlphaDummy727
(Compiler.CompactSourceSyntax.synWrex nb078AlphaDummy728 (SemanticCore.Class.cv nb078AlphaDummy570)
(SemanticCore.Wff.classEq (SemanticCore.Class.cv nb078AlphaDummy727)
(Compiler.CompactSourceSyntax.synCun
(Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv nb078AlphaDummy728))
(Compiler.CompactSourceSyntax.synCsn Compiler.CompactSourceSyntax.synC0c))))).fv ∪ (SemanticCore.Class.cab nb078AlphaDummy727
(Compiler.CompactSourceSyntax.synWrex nb078AlphaDummy728 (SemanticCore.Class.cv nb078AlphaDummy570)
(SemanticCore.Wff.classEq (SemanticCore.Class.cv nb078AlphaDummy727)
(Compiler.CompactSourceSyntax.synCun
(Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv nb078AlphaDummy728))
(Compiler.CompactSourceSyntax.synCsn Compiler.CompactSourceSyntax.synC0c))))).fv
theorem
NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb078_support_mem_0793
(g : SemanticCore.Var)
:
nb078AlphaDummy573 g ∈ (SemanticCore.Class.cab (nb078AlphaDummy729 g)
(Compiler.CompactSourceSyntax.synWrex (nb078AlphaDummy730 g) (SemanticCore.Class.cv (nb078AlphaDummy573 g))
(SemanticCore.Wff.classEq (SemanticCore.Class.cv (nb078AlphaDummy729 g))
(Compiler.CompactSourceSyntax.synCun
(Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv (nb078AlphaDummy730 g)))
(Compiler.CompactSourceSyntax.synCsn Compiler.CompactSourceSyntax.synC0c))))).fv ∪ (SemanticCore.Class.cab (nb078AlphaDummy729 g)
(Compiler.CompactSourceSyntax.synWrex (nb078AlphaDummy730 g) (SemanticCore.Class.cv (nb078AlphaDummy573 g))
(SemanticCore.Wff.classEq (SemanticCore.Class.cv (nb078AlphaDummy729 g))
(Compiler.CompactSourceSyntax.synCun
(Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv (nb078AlphaDummy730 g)))
(Compiler.CompactSourceSyntax.synCsn Compiler.CompactSourceSyntax.synC0c))))).fv
theorem
NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb078_support_mem_0798 :
nb078AlphaDummy767 ∈ {nb078AlphaDummy767} ∪ {nb078AlphaDummy768} ∪ (Compiler.CompactSourceSyntax.synWex nb078AlphaDummy769
(Compiler.CompactSourceSyntax.synWa
(Compiler.CompactSourceSyntax.synWbr (SemanticCore.Class.cv nb078AlphaDummy767)
(Compiler.CompactSourceSyntax.synCcnv (SemanticCore.Class.cv nb078AlphaDummy002))
(SemanticCore.Class.cv nb078AlphaDummy769))
(Compiler.CompactSourceSyntax.synWbr (SemanticCore.Class.cv nb078AlphaDummy769)
(SemanticCore.Class.cv nb078AlphaDummy002) (SemanticCore.Class.cv nb078AlphaDummy768)))).fv
theorem
NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb078_support_mem_0799
(h : SemanticCore.Var)
:
nb078AlphaDummy770 h ∈ {nb078AlphaDummy770 h} ∪ {nb078AlphaDummy771 h} ∪ (Compiler.CompactSourceSyntax.synWex (nb078AlphaDummy772 h)
(Compiler.CompactSourceSyntax.synWa
(Compiler.CompactSourceSyntax.synWbr (SemanticCore.Class.cv (nb078AlphaDummy770 h))
(Compiler.CompactSourceSyntax.synCcnv (SemanticCore.Class.cv h))
(SemanticCore.Class.cv (nb078AlphaDummy772 h)))
(Compiler.CompactSourceSyntax.synWbr (SemanticCore.Class.cv (nb078AlphaDummy772 h)) (SemanticCore.Class.cv h)
(SemanticCore.Class.cv (nb078AlphaDummy771 h))))).fv
theorem
NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb078_support_mem_0800 :
nb078AlphaDummy768 ∈ {nb078AlphaDummy767} ∪ {nb078AlphaDummy768} ∪ (Compiler.CompactSourceSyntax.synWex nb078AlphaDummy769
(Compiler.CompactSourceSyntax.synWa
(Compiler.CompactSourceSyntax.synWbr (SemanticCore.Class.cv nb078AlphaDummy767)
(Compiler.CompactSourceSyntax.synCcnv (SemanticCore.Class.cv nb078AlphaDummy002))
(SemanticCore.Class.cv nb078AlphaDummy769))
(Compiler.CompactSourceSyntax.synWbr (SemanticCore.Class.cv nb078AlphaDummy769)
(SemanticCore.Class.cv nb078AlphaDummy002) (SemanticCore.Class.cv nb078AlphaDummy768)))).fv
theorem
NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb078_support_mem_0801
(h : SemanticCore.Var)
:
nb078AlphaDummy771 h ∈ {nb078AlphaDummy770 h} ∪ {nb078AlphaDummy771 h} ∪ (Compiler.CompactSourceSyntax.synWex (nb078AlphaDummy772 h)
(Compiler.CompactSourceSyntax.synWa
(Compiler.CompactSourceSyntax.synWbr (SemanticCore.Class.cv (nb078AlphaDummy770 h))
(Compiler.CompactSourceSyntax.synCcnv (SemanticCore.Class.cv h))
(SemanticCore.Class.cv (nb078AlphaDummy772 h)))
(Compiler.CompactSourceSyntax.synWbr (SemanticCore.Class.cv (nb078AlphaDummy772 h)) (SemanticCore.Class.cv h)
(SemanticCore.Class.cv (nb078AlphaDummy771 h))))).fv
theorem
NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb078_support_mem_0803 :
nb078AlphaDummy767 ∈ (Compiler.CompactSourceSyntax.synCcompl
(SemanticCore.Class.cab nb078AlphaDummy775
(Compiler.CompactSourceSyntax.synWrex nb078AlphaDummy776 (SemanticCore.Class.cv nb078AlphaDummy767)
(SemanticCore.Wff.classEq (SemanticCore.Class.cv nb078AlphaDummy775)
(Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv nb078AlphaDummy776)))))).fv ∪ (Compiler.CompactSourceSyntax.synCcompl
(SemanticCore.Class.cab nb078AlphaDummy775
(Compiler.CompactSourceSyntax.synWrex nb078AlphaDummy776 (SemanticCore.Class.cv nb078AlphaDummy768)
(SemanticCore.Wff.classEq (SemanticCore.Class.cv nb078AlphaDummy775)
(Compiler.CompactSourceSyntax.synCun
(Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv nb078AlphaDummy776))
(Compiler.CompactSourceSyntax.synCsn Compiler.CompactSourceSyntax.synC0c)))))).fv
theorem
NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb078_support_mem_0805
(h : SemanticCore.Var)
:
nb078AlphaDummy770 h ∈ (Compiler.CompactSourceSyntax.synCcompl
(SemanticCore.Class.cab (nb078AlphaDummy777 h)
(Compiler.CompactSourceSyntax.synWrex (nb078AlphaDummy778 h) (SemanticCore.Class.cv (nb078AlphaDummy770 h))
(SemanticCore.Wff.classEq (SemanticCore.Class.cv (nb078AlphaDummy777 h))
(Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv (nb078AlphaDummy778 h))))))).fv ∪ (Compiler.CompactSourceSyntax.synCcompl
(SemanticCore.Class.cab (nb078AlphaDummy777 h)
(Compiler.CompactSourceSyntax.synWrex (nb078AlphaDummy778 h) (SemanticCore.Class.cv (nb078AlphaDummy771 h))
(SemanticCore.Wff.classEq (SemanticCore.Class.cv (nb078AlphaDummy777 h))
(Compiler.CompactSourceSyntax.synCun
(Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv (nb078AlphaDummy778 h)))
(Compiler.CompactSourceSyntax.synCsn Compiler.CompactSourceSyntax.synC0c)))))).fv
theorem
NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb078_support_mem_0806 :
nb078AlphaDummy767 ∈ (SemanticCore.Class.cab nb078AlphaDummy775
(Compiler.CompactSourceSyntax.synWrex nb078AlphaDummy776 (SemanticCore.Class.cv nb078AlphaDummy767)
(SemanticCore.Wff.classEq (SemanticCore.Class.cv nb078AlphaDummy775)
(Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv nb078AlphaDummy776))))).fv ∪ (SemanticCore.Class.cab nb078AlphaDummy775
(Compiler.CompactSourceSyntax.synWrex nb078AlphaDummy776 (SemanticCore.Class.cv nb078AlphaDummy767)
(SemanticCore.Wff.classEq (SemanticCore.Class.cv nb078AlphaDummy775)
(Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv nb078AlphaDummy776))))).fv
theorem
NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb078_support_mem_0807
(h : SemanticCore.Var)
:
nb078AlphaDummy770 h ∈ (SemanticCore.Class.cab (nb078AlphaDummy777 h)
(Compiler.CompactSourceSyntax.synWrex (nb078AlphaDummy778 h) (SemanticCore.Class.cv (nb078AlphaDummy770 h))
(SemanticCore.Wff.classEq (SemanticCore.Class.cv (nb078AlphaDummy777 h))
(Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv (nb078AlphaDummy778 h)))))).fv ∪ (SemanticCore.Class.cab (nb078AlphaDummy777 h)
(Compiler.CompactSourceSyntax.synWrex (nb078AlphaDummy778 h) (SemanticCore.Class.cv (nb078AlphaDummy770 h))
(SemanticCore.Wff.classEq (SemanticCore.Class.cv (nb078AlphaDummy777 h))
(Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv (nb078AlphaDummy778 h)))))).fv
theorem
NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb078_support_mem_0810 :
nb078AlphaDummy783 ∈ (SemanticCore.Wff.classMem (SemanticCore.Class.cv nb078AlphaDummy783) Compiler.CompactSourceSyntax.synCnnc).fv ∪ (Compiler.CompactSourceSyntax.synCplc (SemanticCore.Class.cv nb078AlphaDummy783)
Compiler.CompactSourceSyntax.synC1c).fv ∪ (SemanticCore.Class.cv nb078AlphaDummy783).fv
theorem
NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb078_support_mem_0811
(h : SemanticCore.Var)
:
nb078AlphaDummy785 h ∈ (SemanticCore.Wff.classMem (SemanticCore.Class.cv (nb078AlphaDummy785 h)) Compiler.CompactSourceSyntax.synCnnc).fv ∪ (Compiler.CompactSourceSyntax.synCplc (SemanticCore.Class.cv (nb078AlphaDummy785 h))
Compiler.CompactSourceSyntax.synC1c).fv ∪ (SemanticCore.Class.cv (nb078AlphaDummy785 h)).fv
theorem
NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb078_support_mem_0831 :
nb078AlphaDummy768 ∈ (Compiler.CompactSourceSyntax.synCcompl
(SemanticCore.Class.cab nb078AlphaDummy775
(Compiler.CompactSourceSyntax.synWrex nb078AlphaDummy776 (SemanticCore.Class.cv nb078AlphaDummy767)
(SemanticCore.Wff.classEq (SemanticCore.Class.cv nb078AlphaDummy775)
(Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv nb078AlphaDummy776)))))).fv ∪ (Compiler.CompactSourceSyntax.synCcompl
(SemanticCore.Class.cab nb078AlphaDummy775
(Compiler.CompactSourceSyntax.synWrex nb078AlphaDummy776 (SemanticCore.Class.cv nb078AlphaDummy768)
(SemanticCore.Wff.classEq (SemanticCore.Class.cv nb078AlphaDummy775)
(Compiler.CompactSourceSyntax.synCun
(Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv nb078AlphaDummy776))
(Compiler.CompactSourceSyntax.synCsn Compiler.CompactSourceSyntax.synC0c)))))).fv
theorem
NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb078_support_mem_0833
(h : SemanticCore.Var)
:
nb078AlphaDummy771 h ∈ (Compiler.CompactSourceSyntax.synCcompl
(SemanticCore.Class.cab (nb078AlphaDummy777 h)
(Compiler.CompactSourceSyntax.synWrex (nb078AlphaDummy778 h) (SemanticCore.Class.cv (nb078AlphaDummy770 h))
(SemanticCore.Wff.classEq (SemanticCore.Class.cv (nb078AlphaDummy777 h))
(Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv (nb078AlphaDummy778 h))))))).fv ∪ (Compiler.CompactSourceSyntax.synCcompl
(SemanticCore.Class.cab (nb078AlphaDummy777 h)
(Compiler.CompactSourceSyntax.synWrex (nb078AlphaDummy778 h) (SemanticCore.Class.cv (nb078AlphaDummy771 h))
(SemanticCore.Wff.classEq (SemanticCore.Class.cv (nb078AlphaDummy777 h))
(Compiler.CompactSourceSyntax.synCun
(Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv (nb078AlphaDummy778 h)))
(Compiler.CompactSourceSyntax.synCsn Compiler.CompactSourceSyntax.synC0c)))))).fv
theorem
NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb078_support_mem_0834 :
nb078AlphaDummy768 ∈ (SemanticCore.Class.cab nb078AlphaDummy775
(Compiler.CompactSourceSyntax.synWrex nb078AlphaDummy776 (SemanticCore.Class.cv nb078AlphaDummy768)
(SemanticCore.Wff.classEq (SemanticCore.Class.cv nb078AlphaDummy775)
(Compiler.CompactSourceSyntax.synCun
(Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv nb078AlphaDummy776))
(Compiler.CompactSourceSyntax.synCsn Compiler.CompactSourceSyntax.synC0c))))).fv ∪ (SemanticCore.Class.cab nb078AlphaDummy775
(Compiler.CompactSourceSyntax.synWrex nb078AlphaDummy776 (SemanticCore.Class.cv nb078AlphaDummy768)
(SemanticCore.Wff.classEq (SemanticCore.Class.cv nb078AlphaDummy775)
(Compiler.CompactSourceSyntax.synCun
(Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv nb078AlphaDummy776))
(Compiler.CompactSourceSyntax.synCsn Compiler.CompactSourceSyntax.synC0c))))).fv
theorem
NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb078_support_mem_0835
(h : SemanticCore.Var)
:
nb078AlphaDummy771 h ∈ (SemanticCore.Class.cab (nb078AlphaDummy777 h)
(Compiler.CompactSourceSyntax.synWrex (nb078AlphaDummy778 h) (SemanticCore.Class.cv (nb078AlphaDummy771 h))
(SemanticCore.Wff.classEq (SemanticCore.Class.cv (nb078AlphaDummy777 h))
(Compiler.CompactSourceSyntax.synCun
(Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv (nb078AlphaDummy778 h)))
(Compiler.CompactSourceSyntax.synCsn Compiler.CompactSourceSyntax.synC0c))))).fv ∪ (SemanticCore.Class.cab (nb078AlphaDummy777 h)
(Compiler.CompactSourceSyntax.synWrex (nb078AlphaDummy778 h) (SemanticCore.Class.cv (nb078AlphaDummy771 h))
(SemanticCore.Wff.classEq (SemanticCore.Class.cv (nb078AlphaDummy777 h))
(Compiler.CompactSourceSyntax.synCun
(Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv (nb078AlphaDummy778 h)))
(Compiler.CompactSourceSyntax.synCsn Compiler.CompactSourceSyntax.synC0c))))).fv
theorem
NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb078_support_mem_0841 :
nb078AlphaDummy767 ∈ (Compiler.CompactSourceSyntax.synCcompl
(SemanticCore.Class.cab nb078AlphaDummy811
(Compiler.CompactSourceSyntax.synWrex nb078AlphaDummy812 (SemanticCore.Class.cv nb078AlphaDummy767)
(SemanticCore.Wff.classEq (SemanticCore.Class.cv nb078AlphaDummy811)
(Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv nb078AlphaDummy812)))))).fv ∪ (Compiler.CompactSourceSyntax.synCcompl
(SemanticCore.Class.cab nb078AlphaDummy811
(Compiler.CompactSourceSyntax.synWrex nb078AlphaDummy812 (SemanticCore.Class.cv nb078AlphaDummy769)
(SemanticCore.Wff.classEq (SemanticCore.Class.cv nb078AlphaDummy811)
(Compiler.CompactSourceSyntax.synCun
(Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv nb078AlphaDummy812))
(Compiler.CompactSourceSyntax.synCsn Compiler.CompactSourceSyntax.synC0c)))))).fv
theorem
NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb078_support_mem_0843
(h : SemanticCore.Var)
:
nb078AlphaDummy770 h ∈ (Compiler.CompactSourceSyntax.synCcompl
(SemanticCore.Class.cab (nb078AlphaDummy813 h)
(Compiler.CompactSourceSyntax.synWrex (nb078AlphaDummy814 h) (SemanticCore.Class.cv (nb078AlphaDummy770 h))
(SemanticCore.Wff.classEq (SemanticCore.Class.cv (nb078AlphaDummy813 h))
(Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv (nb078AlphaDummy814 h))))))).fv ∪ (Compiler.CompactSourceSyntax.synCcompl
(SemanticCore.Class.cab (nb078AlphaDummy813 h)
(Compiler.CompactSourceSyntax.synWrex (nb078AlphaDummy814 h) (SemanticCore.Class.cv (nb078AlphaDummy772 h))
(SemanticCore.Wff.classEq (SemanticCore.Class.cv (nb078AlphaDummy813 h))
(Compiler.CompactSourceSyntax.synCun
(Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv (nb078AlphaDummy814 h)))
(Compiler.CompactSourceSyntax.synCsn Compiler.CompactSourceSyntax.synC0c)))))).fv
theorem
NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb078_support_mem_0844 :
nb078AlphaDummy767 ∈ (SemanticCore.Class.cab nb078AlphaDummy811
(Compiler.CompactSourceSyntax.synWrex nb078AlphaDummy812 (SemanticCore.Class.cv nb078AlphaDummy767)
(SemanticCore.Wff.classEq (SemanticCore.Class.cv nb078AlphaDummy811)
(Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv nb078AlphaDummy812))))).fv ∪ (SemanticCore.Class.cab nb078AlphaDummy811
(Compiler.CompactSourceSyntax.synWrex nb078AlphaDummy812 (SemanticCore.Class.cv nb078AlphaDummy767)
(SemanticCore.Wff.classEq (SemanticCore.Class.cv nb078AlphaDummy811)
(Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv nb078AlphaDummy812))))).fv
theorem
NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb078_support_mem_0845
(h : SemanticCore.Var)
:
nb078AlphaDummy770 h ∈ (SemanticCore.Class.cab (nb078AlphaDummy813 h)
(Compiler.CompactSourceSyntax.synWrex (nb078AlphaDummy814 h) (SemanticCore.Class.cv (nb078AlphaDummy770 h))
(SemanticCore.Wff.classEq (SemanticCore.Class.cv (nb078AlphaDummy813 h))
(Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv (nb078AlphaDummy814 h)))))).fv ∪ (SemanticCore.Class.cab (nb078AlphaDummy813 h)
(Compiler.CompactSourceSyntax.synWrex (nb078AlphaDummy814 h) (SemanticCore.Class.cv (nb078AlphaDummy770 h))
(SemanticCore.Wff.classEq (SemanticCore.Class.cv (nb078AlphaDummy813 h))
(Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv (nb078AlphaDummy814 h)))))).fv
theorem
NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb078_support_mem_0848 :
nb078AlphaDummy819 ∈ (SemanticCore.Wff.classMem (SemanticCore.Class.cv nb078AlphaDummy819) Compiler.CompactSourceSyntax.synCnnc).fv ∪ (Compiler.CompactSourceSyntax.synCplc (SemanticCore.Class.cv nb078AlphaDummy819)
Compiler.CompactSourceSyntax.synC1c).fv ∪ (SemanticCore.Class.cv nb078AlphaDummy819).fv
theorem
NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb078_support_mem_0849
(h : SemanticCore.Var)
:
nb078AlphaDummy821 h ∈ (SemanticCore.Wff.classMem (SemanticCore.Class.cv (nb078AlphaDummy821 h)) Compiler.CompactSourceSyntax.synCnnc).fv ∪ (Compiler.CompactSourceSyntax.synCplc (SemanticCore.Class.cv (nb078AlphaDummy821 h))
Compiler.CompactSourceSyntax.synC1c).fv ∪ (SemanticCore.Class.cv (nb078AlphaDummy821 h)).fv
theorem
NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb078_support_mem_0869 :
nb078AlphaDummy769 ∈ (Compiler.CompactSourceSyntax.synCcompl
(SemanticCore.Class.cab nb078AlphaDummy811
(Compiler.CompactSourceSyntax.synWrex nb078AlphaDummy812 (SemanticCore.Class.cv nb078AlphaDummy767)
(SemanticCore.Wff.classEq (SemanticCore.Class.cv nb078AlphaDummy811)
(Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv nb078AlphaDummy812)))))).fv ∪ (Compiler.CompactSourceSyntax.synCcompl
(SemanticCore.Class.cab nb078AlphaDummy811
(Compiler.CompactSourceSyntax.synWrex nb078AlphaDummy812 (SemanticCore.Class.cv nb078AlphaDummy769)
(SemanticCore.Wff.classEq (SemanticCore.Class.cv nb078AlphaDummy811)
(Compiler.CompactSourceSyntax.synCun
(Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv nb078AlphaDummy812))
(Compiler.CompactSourceSyntax.synCsn Compiler.CompactSourceSyntax.synC0c)))))).fv
theorem
NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb078_support_mem_0871
(h : SemanticCore.Var)
:
nb078AlphaDummy772 h ∈ (Compiler.CompactSourceSyntax.synCcompl
(SemanticCore.Class.cab (nb078AlphaDummy813 h)
(Compiler.CompactSourceSyntax.synWrex (nb078AlphaDummy814 h) (SemanticCore.Class.cv (nb078AlphaDummy770 h))
(SemanticCore.Wff.classEq (SemanticCore.Class.cv (nb078AlphaDummy813 h))
(Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv (nb078AlphaDummy814 h))))))).fv ∪ (Compiler.CompactSourceSyntax.synCcompl
(SemanticCore.Class.cab (nb078AlphaDummy813 h)
(Compiler.CompactSourceSyntax.synWrex (nb078AlphaDummy814 h) (SemanticCore.Class.cv (nb078AlphaDummy772 h))
(SemanticCore.Wff.classEq (SemanticCore.Class.cv (nb078AlphaDummy813 h))
(Compiler.CompactSourceSyntax.synCun
(Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv (nb078AlphaDummy814 h)))
(Compiler.CompactSourceSyntax.synCsn Compiler.CompactSourceSyntax.synC0c)))))).fv
theorem
NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb078_support_mem_0872 :
nb078AlphaDummy769 ∈ (SemanticCore.Class.cab nb078AlphaDummy811
(Compiler.CompactSourceSyntax.synWrex nb078AlphaDummy812 (SemanticCore.Class.cv nb078AlphaDummy769)
(SemanticCore.Wff.classEq (SemanticCore.Class.cv nb078AlphaDummy811)
(Compiler.CompactSourceSyntax.synCun
(Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv nb078AlphaDummy812))
(Compiler.CompactSourceSyntax.synCsn Compiler.CompactSourceSyntax.synC0c))))).fv ∪ (SemanticCore.Class.cab nb078AlphaDummy811
(Compiler.CompactSourceSyntax.synWrex nb078AlphaDummy812 (SemanticCore.Class.cv nb078AlphaDummy769)
(SemanticCore.Wff.classEq (SemanticCore.Class.cv nb078AlphaDummy811)
(Compiler.CompactSourceSyntax.synCun
(Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv nb078AlphaDummy812))
(Compiler.CompactSourceSyntax.synCsn Compiler.CompactSourceSyntax.synC0c))))).fv
theorem
NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb078_support_mem_0873
(h : SemanticCore.Var)
:
nb078AlphaDummy772 h ∈ (SemanticCore.Class.cab (nb078AlphaDummy813 h)
(Compiler.CompactSourceSyntax.synWrex (nb078AlphaDummy814 h) (SemanticCore.Class.cv (nb078AlphaDummy772 h))
(SemanticCore.Wff.classEq (SemanticCore.Class.cv (nb078AlphaDummy813 h))
(Compiler.CompactSourceSyntax.synCun
(Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv (nb078AlphaDummy814 h)))
(Compiler.CompactSourceSyntax.synCsn Compiler.CompactSourceSyntax.synC0c))))).fv ∪ (SemanticCore.Class.cab (nb078AlphaDummy813 h)
(Compiler.CompactSourceSyntax.synWrex (nb078AlphaDummy814 h) (SemanticCore.Class.cv (nb078AlphaDummy772 h))
(SemanticCore.Wff.classEq (SemanticCore.Class.cv (nb078AlphaDummy813 h))
(Compiler.CompactSourceSyntax.synCun
(Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv (nb078AlphaDummy814 h)))
(Compiler.CompactSourceSyntax.synCsn Compiler.CompactSourceSyntax.synC0c))))).fv