Nominal proof certificates grouped in dependency order.
Certificates from NAR4C090C001Part010.
Certificates from NAR4C090C001Part011.
theorem
NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb090_fresh_609
(v u h : SemanticCore.Var)
:
nb090AlphaDummy627 v u h ∉ (SemanticCore.Class.cv (nb090AlphaDummy620 v u h)).fv
theorem
NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb090_fresh_610
(v u h : SemanticCore.Var)
:
nb090AlphaDummy628 v u h ∉ (SemanticCore.Class.cv (nb090AlphaDummy620 v u h)).fv
theorem
NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb090_fresh_627
(v u h : SemanticCore.Var)
:
nb090AlphaDummy644 v u h ∉
(SemanticCore.Class.cv (nb090AlphaDummy635 v u h)).fv ∪ (SemanticCore.Class.cv (nb090AlphaDummy635 v u h)).fv
theorem
NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb090_fresh_628
(v u h : SemanticCore.Var)
:
nb090AlphaDummy640 v u h ∉
(SemanticCore.Class.cv (nb090AlphaDummy635 v u h)).fv ∪ (SemanticCore.Class.cv (nb090AlphaDummy636 v u h)).fv
theorem
NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb090_fresh_629
(v u h : SemanticCore.Var)
:
nb090AlphaDummy646 v u h ∉
(SemanticCore.Class.cv (nb090AlphaDummy636 v u h)).fv ∪ (SemanticCore.Class.cv (nb090AlphaDummy636 v u h)).fv
theorem
NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb090_fresh_659
(v u h : SemanticCore.Var)
:
nb090AlphaDummy755 v u h ∉ (SemanticCore.Class.cv (nb090AlphaDummy702 v u h)).fv
theorem
NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb090_fresh_660
(v u h : SemanticCore.Var)
:
nb090AlphaDummy756 v u h ∉ (SemanticCore.Class.cv (nb090AlphaDummy702 v u h)).fv
theorem
NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb090_fresh_663
(v u h : SemanticCore.Var)
:
nb090AlphaDummy752 v u h ∉ (SemanticCore.Class.cv (nb090AlphaDummy710 v u h)).fv
theorem
NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb090_fresh_667
(v u h : SemanticCore.Var)
:
nb090AlphaDummy725 v u h ∉ (SemanticCore.Class.cv (nb090AlphaDummy718 v u h)).fv
theorem
NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb090_fresh_668
(v u h : SemanticCore.Var)
:
nb090AlphaDummy726 v u h ∉ (SemanticCore.Class.cv (nb090AlphaDummy718 v u h)).fv
theorem
NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb090_fresh_685
(v u h : SemanticCore.Var)
:
nb090AlphaDummy742 v u h ∉
(SemanticCore.Class.cv (nb090AlphaDummy733 v u h)).fv ∪ (SemanticCore.Class.cv (nb090AlphaDummy733 v u h)).fv
theorem
NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb090_fresh_686
(v u h : SemanticCore.Var)
:
nb090AlphaDummy738 v u h ∉
(SemanticCore.Class.cv (nb090AlphaDummy733 v u h)).fv ∪ (SemanticCore.Class.cv (nb090AlphaDummy734 v u h)).fv
theorem
NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb090_fresh_687
(v u h : SemanticCore.Var)
:
nb090AlphaDummy744 v u h ∉
(SemanticCore.Class.cv (nb090AlphaDummy734 v u h)).fv ∪ (SemanticCore.Class.cv (nb090AlphaDummy734 v u h)).fv
Certificates from NAR4C090C001Part012.
theorem
NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb090_fresh_703
(v u h : SemanticCore.Var)
:
nb090AlphaDummy772 v u h ∉
(SemanticCore.Class.cv (nb090AlphaDummy763 v u h)).fv ∪ (SemanticCore.Class.cv (nb090AlphaDummy763 v u h)).fv
theorem
NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb090_fresh_704
(v u h : SemanticCore.Var)
:
nb090AlphaDummy768 v u h ∉
(SemanticCore.Class.cv (nb090AlphaDummy763 v u h)).fv ∪ (SemanticCore.Class.cv (nb090AlphaDummy764 v u h)).fv
theorem
NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb090_fresh_705
(v u h : SemanticCore.Var)
:
nb090AlphaDummy774 v u h ∉
(SemanticCore.Class.cv (nb090AlphaDummy764 v u h)).fv ∪ (SemanticCore.Class.cv (nb090AlphaDummy764 v u h)).fv
theorem
NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb090_fresh_707
(v u h : SemanticCore.Var)
:
nb090AlphaDummy822 v u h ∉ (SemanticCore.Class.cv (nb090AlphaDummy780 v u h)).fv
theorem
NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb090_fresh_711
(v u h : SemanticCore.Var)
:
nb090AlphaDummy795 v u h ∉ (SemanticCore.Class.cv (nb090AlphaDummy788 v u h)).fv
theorem
NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb090_fresh_712
(v u h : SemanticCore.Var)
:
nb090AlphaDummy796 v u h ∉ (SemanticCore.Class.cv (nb090AlphaDummy788 v u h)).fv
theorem
NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb090_fresh_729
(v u h : SemanticCore.Var)
:
nb090AlphaDummy812 v u h ∉
(SemanticCore.Class.cv (nb090AlphaDummy803 v u h)).fv ∪ (SemanticCore.Class.cv (nb090AlphaDummy803 v u h)).fv
theorem
NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb090_fresh_730
(v u h : SemanticCore.Var)
:
nb090AlphaDummy808 v u h ∉
(SemanticCore.Class.cv (nb090AlphaDummy803 v u h)).fv ∪ (SemanticCore.Class.cv (nb090AlphaDummy804 v u h)).fv
theorem
NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb090_fresh_731
(v u h : SemanticCore.Var)
:
nb090AlphaDummy814 v u h ∉
(SemanticCore.Class.cv (nb090AlphaDummy804 v u h)).fv ∪ (SemanticCore.Class.cv (nb090AlphaDummy804 v u h)).fv
theorem
NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb090_fresh_761
(v u h : SemanticCore.Var)
:
nb090AlphaDummy708 v u h ∉ (SemanticCore.Class.cv h).fv ∪ (SemanticCore.Class.cv (nb090AlphaDummy043 v u h)).fv
theorem
NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb090_fresh_762
(v u h : SemanticCore.Var)
:
nb090AlphaDummy778 v u h ∉ (SemanticCore.Class.cv h).fv ∪ (SemanticCore.Class.cv (nb090AlphaDummy044 v u h)).fv
theorem
NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb090_fresh_769
(v u h : SemanticCore.Var)
:
nb090AlphaDummy043 v u h ∉
(SemanticCore.Class.cv h).fv ∪ (Compiler.CompactSourceSyntax.synCfv Compiler.CompactSourceSyntax.synC1st (SemanticCore.Class.cv u)).fv ∪ (Compiler.CompactSourceSyntax.synCfv Compiler.CompactSourceSyntax.synC1st (SemanticCore.Class.cv v)).fv ∪ (Compiler.CompactSourceSyntax.synCfv Compiler.CompactSourceSyntax.synC2nd (SemanticCore.Class.cv u)).fv ∪ (Compiler.CompactSourceSyntax.synCfv Compiler.CompactSourceSyntax.synC2nd (SemanticCore.Class.cv v)).fv
theorem
NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb090_fresh_770
(v u h : SemanticCore.Var)
:
nb090AlphaDummy044 v u h ∉
(SemanticCore.Class.cv h).fv ∪ (Compiler.CompactSourceSyntax.synCfv Compiler.CompactSourceSyntax.synC1st (SemanticCore.Class.cv u)).fv ∪ (Compiler.CompactSourceSyntax.synCfv Compiler.CompactSourceSyntax.synC1st (SemanticCore.Class.cv v)).fv ∪ (Compiler.CompactSourceSyntax.synCfv Compiler.CompactSourceSyntax.synC2nd (SemanticCore.Class.cv u)).fv ∪ (Compiler.CompactSourceSyntax.synCfv Compiler.CompactSourceSyntax.synC2nd (SemanticCore.Class.cv v)).fv
theorem
NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb090_fresh_790
(A : SemanticCore.Class)
:
nb090AlphaDummy017 A ∉
(SemanticCore.Wff.classMem (SemanticCore.Class.cv (nb090AlphaDummy013 A)) Compiler.CompactSourceSyntax.synCnnc).fv ∪ (Compiler.CompactSourceSyntax.synCplc (SemanticCore.Class.cv (nb090AlphaDummy013 A))
Compiler.CompactSourceSyntax.synC1c).fv ∪ (SemanticCore.Class.cv (nb090AlphaDummy013 A)).fv
theorem
NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb090_fresh_791
(v u : SemanticCore.Var)
:
nb090AlphaDummy018 v u ∉
(SemanticCore.Wff.classMem (SemanticCore.Class.cv (nb090AlphaDummy015 v u)) Compiler.CompactSourceSyntax.synCnnc).fv ∪ (Compiler.CompactSourceSyntax.synCplc (SemanticCore.Class.cv (nb090AlphaDummy015 v u))
Compiler.CompactSourceSyntax.synC1c).fv ∪ (SemanticCore.Class.cv (nb090AlphaDummy015 v u)).fv
theorem
NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb090_fresh_792
(A : SemanticCore.Class)
:
nb090AlphaDummy069 A ∉
(SemanticCore.Wff.classMem (SemanticCore.Class.cv (nb090AlphaDummy065 A)) Compiler.CompactSourceSyntax.synCnnc).fv ∪ (Compiler.CompactSourceSyntax.synCplc (SemanticCore.Class.cv (nb090AlphaDummy065 A))
Compiler.CompactSourceSyntax.synC1c).fv ∪ (SemanticCore.Class.cv (nb090AlphaDummy065 A)).fv
theorem
NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb090_fresh_793
(h : SemanticCore.Var)
:
nb090AlphaDummy070 h ∉
(SemanticCore.Wff.classMem (SemanticCore.Class.cv (nb090AlphaDummy067 h)) Compiler.CompactSourceSyntax.synCnnc).fv ∪ (Compiler.CompactSourceSyntax.synCplc (SemanticCore.Class.cv (nb090AlphaDummy067 h))
Compiler.CompactSourceSyntax.synC1c).fv ∪ (SemanticCore.Class.cv (nb090AlphaDummy067 h)).fv
theorem
NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb090_fresh_794
(A : SemanticCore.Class)
:
nb090AlphaDummy105 A ∉
(SemanticCore.Wff.classMem (SemanticCore.Class.cv (nb090AlphaDummy101 A)) Compiler.CompactSourceSyntax.synCnnc).fv ∪ (Compiler.CompactSourceSyntax.synCplc (SemanticCore.Class.cv (nb090AlphaDummy101 A))
Compiler.CompactSourceSyntax.synC1c).fv ∪ (SemanticCore.Class.cv (nb090AlphaDummy101 A)).fv
theorem
NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb090_fresh_795
(h : SemanticCore.Var)
:
nb090AlphaDummy106 h ∉
(SemanticCore.Wff.classMem (SemanticCore.Class.cv (nb090AlphaDummy103 h)) Compiler.CompactSourceSyntax.synCnnc).fv ∪ (Compiler.CompactSourceSyntax.synCplc (SemanticCore.Class.cv (nb090AlphaDummy103 h))
Compiler.CompactSourceSyntax.synC1c).fv ∪ (SemanticCore.Class.cv (nb090AlphaDummy103 h)).fv
theorem
NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb090_fresh_796
(A : SemanticCore.Class)
:
nb090AlphaDummy147 A ∉
(SemanticCore.Wff.classMem (SemanticCore.Class.cv (nb090AlphaDummy143 A)) Compiler.CompactSourceSyntax.synCnnc).fv ∪ (Compiler.CompactSourceSyntax.synCplc (SemanticCore.Class.cv (nb090AlphaDummy143 A))
Compiler.CompactSourceSyntax.synC1c).fv ∪ (SemanticCore.Class.cv (nb090AlphaDummy143 A)).fv
theorem
NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb090_fresh_797
(h : SemanticCore.Var)
:
nb090AlphaDummy148 h ∉
(SemanticCore.Wff.classMem (SemanticCore.Class.cv (nb090AlphaDummy145 h)) Compiler.CompactSourceSyntax.synCnnc).fv ∪ (Compiler.CompactSourceSyntax.synCplc (SemanticCore.Class.cv (nb090AlphaDummy145 h))
Compiler.CompactSourceSyntax.synC1c).fv ∪ (SemanticCore.Class.cv (nb090AlphaDummy145 h)).fv
theorem
NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb090_fresh_798
(A : SemanticCore.Class)
:
nb090AlphaDummy183 A ∉
(SemanticCore.Wff.classMem (SemanticCore.Class.cv (nb090AlphaDummy179 A)) Compiler.CompactSourceSyntax.synCnnc).fv ∪ (Compiler.CompactSourceSyntax.synCplc (SemanticCore.Class.cv (nb090AlphaDummy179 A))
Compiler.CompactSourceSyntax.synC1c).fv ∪ (SemanticCore.Class.cv (nb090AlphaDummy179 A)).fv
theorem
NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb090_fresh_799
(h : SemanticCore.Var)
:
nb090AlphaDummy184 h ∉
(SemanticCore.Wff.classMem (SemanticCore.Class.cv (nb090AlphaDummy181 h)) Compiler.CompactSourceSyntax.synCnnc).fv ∪ (Compiler.CompactSourceSyntax.synCplc (SemanticCore.Class.cv (nb090AlphaDummy181 h))
Compiler.CompactSourceSyntax.synC1c).fv ∪ (SemanticCore.Class.cv (nb090AlphaDummy181 h)).fv
theorem
NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb090_fresh_800
(A : SemanticCore.Class)
:
nb090AlphaDummy219 A ∉
(SemanticCore.Wff.classMem (SemanticCore.Class.cv (nb090AlphaDummy215 A)) Compiler.CompactSourceSyntax.synCnnc).fv ∪ (Compiler.CompactSourceSyntax.synCplc (SemanticCore.Class.cv (nb090AlphaDummy215 A))
Compiler.CompactSourceSyntax.synC1c).fv ∪ (SemanticCore.Class.cv (nb090AlphaDummy215 A)).fv
theorem
NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb090_fresh_801
(h : SemanticCore.Var)
:
nb090AlphaDummy220 h ∉
(SemanticCore.Wff.classMem (SemanticCore.Class.cv (nb090AlphaDummy217 h)) Compiler.CompactSourceSyntax.synCnnc).fv ∪ (Compiler.CompactSourceSyntax.synCplc (SemanticCore.Class.cv (nb090AlphaDummy217 h))
Compiler.CompactSourceSyntax.synC1c).fv ∪ (SemanticCore.Class.cv (nb090AlphaDummy217 h)).fv
theorem
NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb090_fresh_802
(A : SemanticCore.Class)
:
nb090AlphaDummy259 A ∉
(SemanticCore.Wff.classMem (SemanticCore.Class.cv (nb090AlphaDummy255 A)) Compiler.CompactSourceSyntax.synCnnc).fv ∪ (Compiler.CompactSourceSyntax.synCplc (SemanticCore.Class.cv (nb090AlphaDummy255 A))
Compiler.CompactSourceSyntax.synC1c).fv ∪ (SemanticCore.Class.cv (nb090AlphaDummy255 A)).fv
theorem
NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb090_fresh_803
(h : SemanticCore.Var)
:
nb090AlphaDummy260 h ∉
(SemanticCore.Wff.classMem (SemanticCore.Class.cv (nb090AlphaDummy257 h)) Compiler.CompactSourceSyntax.synCnnc).fv ∪ (Compiler.CompactSourceSyntax.synCplc (SemanticCore.Class.cv (nb090AlphaDummy257 h))
Compiler.CompactSourceSyntax.synC1c).fv ∪ (SemanticCore.Class.cv (nb090AlphaDummy257 h)).fv
theorem
NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb090_fresh_804
(A : SemanticCore.Class)
:
nb090AlphaDummy303 A ∉
(SemanticCore.Wff.classMem (SemanticCore.Class.cv (nb090AlphaDummy299 A)) Compiler.CompactSourceSyntax.synCnnc).fv ∪ (Compiler.CompactSourceSyntax.synCplc (SemanticCore.Class.cv (nb090AlphaDummy299 A))
Compiler.CompactSourceSyntax.synC1c).fv ∪ (SemanticCore.Class.cv (nb090AlphaDummy299 A)).fv
theorem
NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb090_fresh_805
(u : SemanticCore.Var)
:
nb090AlphaDummy304 u ∉
(SemanticCore.Wff.classMem (SemanticCore.Class.cv (nb090AlphaDummy301 u)) Compiler.CompactSourceSyntax.synCnnc).fv ∪ (Compiler.CompactSourceSyntax.synCplc (SemanticCore.Class.cv (nb090AlphaDummy301 u))
Compiler.CompactSourceSyntax.synC1c).fv ∪ (SemanticCore.Class.cv (nb090AlphaDummy301 u)).fv
theorem
NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb090_fresh_806
(A : SemanticCore.Class)
:
nb090AlphaDummy349 A ∉
(SemanticCore.Wff.classMem (SemanticCore.Class.cv (nb090AlphaDummy345 A)) Compiler.CompactSourceSyntax.synCnnc).fv ∪ (Compiler.CompactSourceSyntax.synCplc (SemanticCore.Class.cv (nb090AlphaDummy345 A))
Compiler.CompactSourceSyntax.synC1c).fv ∪ (SemanticCore.Class.cv (nb090AlphaDummy345 A)).fv
theorem
NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb090_fresh_807
(h : SemanticCore.Var)
:
nb090AlphaDummy350 h ∉
(SemanticCore.Wff.classMem (SemanticCore.Class.cv (nb090AlphaDummy347 h)) Compiler.CompactSourceSyntax.synCnnc).fv ∪ (Compiler.CompactSourceSyntax.synCplc (SemanticCore.Class.cv (nb090AlphaDummy347 h))
Compiler.CompactSourceSyntax.synC1c).fv ∪ (SemanticCore.Class.cv (nb090AlphaDummy347 h)).fv
theorem
NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb090_fresh_808
(A : SemanticCore.Class)
:
nb090AlphaDummy393 A ∉
(SemanticCore.Wff.classMem (SemanticCore.Class.cv (nb090AlphaDummy389 A)) Compiler.CompactSourceSyntax.synCnnc).fv ∪ (Compiler.CompactSourceSyntax.synCplc (SemanticCore.Class.cv (nb090AlphaDummy389 A))
Compiler.CompactSourceSyntax.synC1c).fv ∪ (SemanticCore.Class.cv (nb090AlphaDummy389 A)).fv
theorem
NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb090_fresh_809
(v : SemanticCore.Var)
:
nb090AlphaDummy394 v ∉
(SemanticCore.Wff.classMem (SemanticCore.Class.cv (nb090AlphaDummy391 v)) Compiler.CompactSourceSyntax.synCnnc).fv ∪ (Compiler.CompactSourceSyntax.synCplc (SemanticCore.Class.cv (nb090AlphaDummy391 v))
Compiler.CompactSourceSyntax.synC1c).fv ∪ (SemanticCore.Class.cv (nb090AlphaDummy391 v)).fv
theorem
NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb090_fresh_810
(A : SemanticCore.Class)
:
nb090AlphaDummy443 A ∉
(SemanticCore.Wff.classMem (SemanticCore.Class.cv (nb090AlphaDummy439 A)) Compiler.CompactSourceSyntax.synCnnc).fv ∪ (Compiler.CompactSourceSyntax.synCplc (SemanticCore.Class.cv (nb090AlphaDummy439 A))
Compiler.CompactSourceSyntax.synC1c).fv ∪ (SemanticCore.Class.cv (nb090AlphaDummy439 A)).fv
theorem
NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb090_fresh_811
(h : SemanticCore.Var)
:
nb090AlphaDummy444 h ∉
(SemanticCore.Wff.classMem (SemanticCore.Class.cv (nb090AlphaDummy441 h)) Compiler.CompactSourceSyntax.synCnnc).fv ∪ (Compiler.CompactSourceSyntax.synCplc (SemanticCore.Class.cv (nb090AlphaDummy441 h))
Compiler.CompactSourceSyntax.synC1c).fv ∪ (SemanticCore.Class.cv (nb090AlphaDummy441 h)).fv
theorem
NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb090_fresh_812
(A : SemanticCore.Class)
:
nb090AlphaDummy479 A ∉
(SemanticCore.Wff.classMem (SemanticCore.Class.cv (nb090AlphaDummy475 A)) Compiler.CompactSourceSyntax.synCnnc).fv ∪ (Compiler.CompactSourceSyntax.synCplc (SemanticCore.Class.cv (nb090AlphaDummy475 A))
Compiler.CompactSourceSyntax.synC1c).fv ∪ (SemanticCore.Class.cv (nb090AlphaDummy475 A)).fv
theorem
NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb090_fresh_813
(h : SemanticCore.Var)
:
nb090AlphaDummy480 h ∉
(SemanticCore.Wff.classMem (SemanticCore.Class.cv (nb090AlphaDummy477 h)) Compiler.CompactSourceSyntax.synCnnc).fv ∪ (Compiler.CompactSourceSyntax.synCplc (SemanticCore.Class.cv (nb090AlphaDummy477 h))
Compiler.CompactSourceSyntax.synC1c).fv ∪ (SemanticCore.Class.cv (nb090AlphaDummy477 h)).fv
theorem
NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb090_fresh_814
(A : SemanticCore.Class)
:
nb090AlphaDummy521 A ∉
(SemanticCore.Wff.classMem (SemanticCore.Class.cv (nb090AlphaDummy517 A)) Compiler.CompactSourceSyntax.synCnnc).fv ∪ (Compiler.CompactSourceSyntax.synCplc (SemanticCore.Class.cv (nb090AlphaDummy517 A))
Compiler.CompactSourceSyntax.synC1c).fv ∪ (SemanticCore.Class.cv (nb090AlphaDummy517 A)).fv
theorem
NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb090_fresh_815
(h : SemanticCore.Var)
:
nb090AlphaDummy522 h ∉
(SemanticCore.Wff.classMem (SemanticCore.Class.cv (nb090AlphaDummy519 h)) Compiler.CompactSourceSyntax.synCnnc).fv ∪ (Compiler.CompactSourceSyntax.synCplc (SemanticCore.Class.cv (nb090AlphaDummy519 h))
Compiler.CompactSourceSyntax.synC1c).fv ∪ (SemanticCore.Class.cv (nb090AlphaDummy519 h)).fv
theorem
NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb090_fresh_816
(A : SemanticCore.Class)
:
nb090AlphaDummy557 A ∉
(SemanticCore.Wff.classMem (SemanticCore.Class.cv (nb090AlphaDummy553 A)) Compiler.CompactSourceSyntax.synCnnc).fv ∪ (Compiler.CompactSourceSyntax.synCplc (SemanticCore.Class.cv (nb090AlphaDummy553 A))
Compiler.CompactSourceSyntax.synC1c).fv ∪ (SemanticCore.Class.cv (nb090AlphaDummy553 A)).fv
theorem
NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb090_fresh_817
(h : SemanticCore.Var)
:
nb090AlphaDummy558 h ∉
(SemanticCore.Wff.classMem (SemanticCore.Class.cv (nb090AlphaDummy555 h)) Compiler.CompactSourceSyntax.synCnnc).fv ∪ (Compiler.CompactSourceSyntax.synCplc (SemanticCore.Class.cv (nb090AlphaDummy555 h))
Compiler.CompactSourceSyntax.synC1c).fv ∪ (SemanticCore.Class.cv (nb090AlphaDummy555 h)).fv
theorem
NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb090_fresh_818
(A : SemanticCore.Class)
:
nb090AlphaDummy593 A ∉
(SemanticCore.Wff.classMem (SemanticCore.Class.cv (nb090AlphaDummy589 A)) Compiler.CompactSourceSyntax.synCnnc).fv ∪ (Compiler.CompactSourceSyntax.synCplc (SemanticCore.Class.cv (nb090AlphaDummy589 A))
Compiler.CompactSourceSyntax.synC1c).fv ∪ (SemanticCore.Class.cv (nb090AlphaDummy589 A)).fv
theorem
NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb090_fresh_819
(h : SemanticCore.Var)
:
nb090AlphaDummy594 h ∉
(SemanticCore.Wff.classMem (SemanticCore.Class.cv (nb090AlphaDummy591 h)) Compiler.CompactSourceSyntax.synCnnc).fv ∪ (Compiler.CompactSourceSyntax.synCplc (SemanticCore.Class.cv (nb090AlphaDummy591 h))
Compiler.CompactSourceSyntax.synC1c).fv ∪ (SemanticCore.Class.cv (nb090AlphaDummy591 h)).fv
theorem
NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb090_fresh_820
(A : SemanticCore.Class)
:
nb090AlphaDummy629 A ∉
(SemanticCore.Wff.classMem (SemanticCore.Class.cv (nb090AlphaDummy625 A)) Compiler.CompactSourceSyntax.synCnnc).fv ∪ (Compiler.CompactSourceSyntax.synCplc (SemanticCore.Class.cv (nb090AlphaDummy625 A))
Compiler.CompactSourceSyntax.synC1c).fv ∪ (SemanticCore.Class.cv (nb090AlphaDummy625 A)).fv
theorem
NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb090_fresh_821
(v u h : SemanticCore.Var)
:
nb090AlphaDummy630 v u h ∉
(SemanticCore.Wff.classMem (SemanticCore.Class.cv (nb090AlphaDummy627 v u h))
Compiler.CompactSourceSyntax.synCnnc).fv ∪ (Compiler.CompactSourceSyntax.synCplc (SemanticCore.Class.cv (nb090AlphaDummy627 v u h))
Compiler.CompactSourceSyntax.synC1c).fv ∪ (SemanticCore.Class.cv (nb090AlphaDummy627 v u h)).fv
theorem
NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb090_fresh_822
(A : SemanticCore.Class)
:
nb090AlphaDummy673 A ∉
(SemanticCore.Wff.classMem (SemanticCore.Class.cv (nb090AlphaDummy669 A)) Compiler.CompactSourceSyntax.synCnnc).fv ∪ (Compiler.CompactSourceSyntax.synCplc (SemanticCore.Class.cv (nb090AlphaDummy669 A))
Compiler.CompactSourceSyntax.synC1c).fv ∪ (SemanticCore.Class.cv (nb090AlphaDummy669 A)).fv
theorem
NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb090_fresh_823
(u : SemanticCore.Var)
:
nb090AlphaDummy674 u ∉
(SemanticCore.Wff.classMem (SemanticCore.Class.cv (nb090AlphaDummy671 u)) Compiler.CompactSourceSyntax.synCnnc).fv ∪ (Compiler.CompactSourceSyntax.synCplc (SemanticCore.Class.cv (nb090AlphaDummy671 u))
Compiler.CompactSourceSyntax.synC1c).fv ∪ (SemanticCore.Class.cv (nb090AlphaDummy671 u)).fv
theorem
NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb090_fresh_824
(A : SemanticCore.Class)
:
nb090AlphaDummy727 A ∉
(SemanticCore.Wff.classMem (SemanticCore.Class.cv (nb090AlphaDummy723 A)) Compiler.CompactSourceSyntax.synCnnc).fv ∪ (Compiler.CompactSourceSyntax.synCplc (SemanticCore.Class.cv (nb090AlphaDummy723 A))
Compiler.CompactSourceSyntax.synC1c).fv ∪ (SemanticCore.Class.cv (nb090AlphaDummy723 A)).fv
theorem
NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb090_fresh_825
(v u h : SemanticCore.Var)
:
nb090AlphaDummy728 v u h ∉
(SemanticCore.Wff.classMem (SemanticCore.Class.cv (nb090AlphaDummy725 v u h))
Compiler.CompactSourceSyntax.synCnnc).fv ∪ (Compiler.CompactSourceSyntax.synCplc (SemanticCore.Class.cv (nb090AlphaDummy725 v u h))
Compiler.CompactSourceSyntax.synC1c).fv ∪ (SemanticCore.Class.cv (nb090AlphaDummy725 v u h)).fv
theorem
NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb090_fresh_826
(A : SemanticCore.Class)
:
nb090AlphaDummy757 A ∉
(SemanticCore.Wff.classMem (SemanticCore.Class.cv (nb090AlphaDummy753 A)) Compiler.CompactSourceSyntax.synCnnc).fv ∪ (Compiler.CompactSourceSyntax.synCplc (SemanticCore.Class.cv (nb090AlphaDummy753 A))
Compiler.CompactSourceSyntax.synC1c).fv ∪ (SemanticCore.Class.cv (nb090AlphaDummy753 A)).fv
theorem
NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb090_fresh_827
(v u h : SemanticCore.Var)
:
nb090AlphaDummy758 v u h ∉
(SemanticCore.Wff.classMem (SemanticCore.Class.cv (nb090AlphaDummy755 v u h))
Compiler.CompactSourceSyntax.synCnnc).fv ∪ (Compiler.CompactSourceSyntax.synCplc (SemanticCore.Class.cv (nb090AlphaDummy755 v u h))
Compiler.CompactSourceSyntax.synC1c).fv ∪ (SemanticCore.Class.cv (nb090AlphaDummy755 v u h)).fv
theorem
NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb090_fresh_828
(A : SemanticCore.Class)
:
nb090AlphaDummy797 A ∉
(SemanticCore.Wff.classMem (SemanticCore.Class.cv (nb090AlphaDummy793 A)) Compiler.CompactSourceSyntax.synCnnc).fv ∪ (Compiler.CompactSourceSyntax.synCplc (SemanticCore.Class.cv (nb090AlphaDummy793 A))
Compiler.CompactSourceSyntax.synC1c).fv ∪ (SemanticCore.Class.cv (nb090AlphaDummy793 A)).fv
theorem
NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb090_fresh_829
(v u h : SemanticCore.Var)
:
nb090AlphaDummy798 v u h ∉
(SemanticCore.Wff.classMem (SemanticCore.Class.cv (nb090AlphaDummy795 v u h))
Compiler.CompactSourceSyntax.synCnnc).fv ∪ (Compiler.CompactSourceSyntax.synCplc (SemanticCore.Class.cv (nb090AlphaDummy795 v u h))
Compiler.CompactSourceSyntax.synC1c).fv ∪ (SemanticCore.Class.cv (nb090AlphaDummy795 v u h)).fv
theorem
NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb090_fresh_830
(A : SemanticCore.Class)
:
nb090AlphaDummy847 A ∉
(SemanticCore.Wff.classMem (SemanticCore.Class.cv (nb090AlphaDummy843 A)) Compiler.CompactSourceSyntax.synCnnc).fv ∪ (Compiler.CompactSourceSyntax.synCplc (SemanticCore.Class.cv (nb090AlphaDummy843 A))
Compiler.CompactSourceSyntax.synC1c).fv ∪ (SemanticCore.Class.cv (nb090AlphaDummy843 A)).fv
theorem
NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb090_fresh_831
(v : SemanticCore.Var)
:
nb090AlphaDummy848 v ∉
(SemanticCore.Wff.classMem (SemanticCore.Class.cv (nb090AlphaDummy845 v)) Compiler.CompactSourceSyntax.synCnnc).fv ∪ (Compiler.CompactSourceSyntax.synCplc (SemanticCore.Class.cv (nb090AlphaDummy845 v))
Compiler.CompactSourceSyntax.synC1c).fv ∪ (SemanticCore.Class.cv (nb090AlphaDummy845 v)).fv
Certificates from NAR4C090C001Part013.
theorem
NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb090_fresh_866
(A : SemanticCore.Class)
:
nb090AlphaDummy421 A ∉
(Compiler.CompactSourceSyntax.synCcom
(Compiler.CompactSourceSyntax.synCcnv (SemanticCore.Class.cv (nb090AlphaDummy000 A)))
(Compiler.CompactSourceSyntax.synCcnv
(Compiler.CompactSourceSyntax.synCcnv (SemanticCore.Class.cv (nb090AlphaDummy000 A))))).fv ∪ Compiler.CompactSourceSyntax.synCid.fv
theorem
NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb090_fresh_868
(A : SemanticCore.Class)
:
nb090AlphaDummy009 A ∉
(Compiler.CompactSourceSyntax.synCcompl
(SemanticCore.Class.cab (nb090AlphaDummy005 A)
(Compiler.CompactSourceSyntax.synWrex (nb090AlphaDummy006 A) (SemanticCore.Class.cv (nb090AlphaDummy001 A))
(SemanticCore.Wff.classEq (SemanticCore.Class.cv (nb090AlphaDummy005 A))
(Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv (nb090AlphaDummy006 A))))))).fv ∪ (Compiler.CompactSourceSyntax.synCcompl
(SemanticCore.Class.cab (nb090AlphaDummy005 A)
(Compiler.CompactSourceSyntax.synWrex (nb090AlphaDummy006 A) (SemanticCore.Class.cv (nb090AlphaDummy002 A))
(SemanticCore.Wff.classEq (SemanticCore.Class.cv (nb090AlphaDummy005 A))
(Compiler.CompactSourceSyntax.synCun
(Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv (nb090AlphaDummy006 A)))
(Compiler.CompactSourceSyntax.synCsn Compiler.CompactSourceSyntax.synC0c)))))).fv
theorem
NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb090_fresh_869
(v u : SemanticCore.Var)
:
nb090AlphaDummy010 v u ∉
(Compiler.CompactSourceSyntax.synCcompl
(SemanticCore.Class.cab (nb090AlphaDummy007 v u)
(Compiler.CompactSourceSyntax.synWrex (nb090AlphaDummy008 v u) (SemanticCore.Class.cv u)
(SemanticCore.Wff.classEq (SemanticCore.Class.cv (nb090AlphaDummy007 v u))
(Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv (nb090AlphaDummy008 v u))))))).fv ∪ (Compiler.CompactSourceSyntax.synCcompl
(SemanticCore.Class.cab (nb090AlphaDummy007 v u)
(Compiler.CompactSourceSyntax.synWrex (nb090AlphaDummy008 v u) (SemanticCore.Class.cv v)
(SemanticCore.Wff.classEq (SemanticCore.Class.cv (nb090AlphaDummy007 v u))
(Compiler.CompactSourceSyntax.synCun
(Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv (nb090AlphaDummy008 v u)))
(Compiler.CompactSourceSyntax.synCsn Compiler.CompactSourceSyntax.synC0c)))))).fv
theorem
NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb090_fresh_870
(A : SemanticCore.Class)
:
nb090AlphaDummy061 A ∉
(Compiler.CompactSourceSyntax.synCcompl
(SemanticCore.Class.cab (nb090AlphaDummy057 A)
(Compiler.CompactSourceSyntax.synWrex (nb090AlphaDummy058 A) (SemanticCore.Class.cv (nb090AlphaDummy049 A))
(SemanticCore.Wff.classEq (SemanticCore.Class.cv (nb090AlphaDummy057 A))
(Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv (nb090AlphaDummy058 A))))))).fv ∪ (Compiler.CompactSourceSyntax.synCcompl
(SemanticCore.Class.cab (nb090AlphaDummy057 A)
(Compiler.CompactSourceSyntax.synWrex (nb090AlphaDummy058 A) (SemanticCore.Class.cv (nb090AlphaDummy050 A))
(SemanticCore.Wff.classEq (SemanticCore.Class.cv (nb090AlphaDummy057 A))
(Compiler.CompactSourceSyntax.synCun
(Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv (nb090AlphaDummy058 A)))
(Compiler.CompactSourceSyntax.synCsn Compiler.CompactSourceSyntax.synC0c)))))).fv
theorem
NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb090_fresh_871
(h : SemanticCore.Var)
:
nb090AlphaDummy062 h ∉
(Compiler.CompactSourceSyntax.synCcompl
(SemanticCore.Class.cab (nb090AlphaDummy059 h)
(Compiler.CompactSourceSyntax.synWrex (nb090AlphaDummy060 h) (SemanticCore.Class.cv (nb090AlphaDummy052 h))
(SemanticCore.Wff.classEq (SemanticCore.Class.cv (nb090AlphaDummy059 h))
(Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv (nb090AlphaDummy060 h))))))).fv ∪ (Compiler.CompactSourceSyntax.synCcompl
(SemanticCore.Class.cab (nb090AlphaDummy059 h)
(Compiler.CompactSourceSyntax.synWrex (nb090AlphaDummy060 h) (SemanticCore.Class.cv (nb090AlphaDummy053 h))
(SemanticCore.Wff.classEq (SemanticCore.Class.cv (nb090AlphaDummy059 h))
(Compiler.CompactSourceSyntax.synCun
(Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv (nb090AlphaDummy060 h)))
(Compiler.CompactSourceSyntax.synCsn Compiler.CompactSourceSyntax.synC0c)))))).fv
theorem
NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb090_fresh_872
(A : SemanticCore.Class)
:
nb090AlphaDummy097 A ∉
(Compiler.CompactSourceSyntax.synCcompl
(SemanticCore.Class.cab (nb090AlphaDummy093 A)
(Compiler.CompactSourceSyntax.synWrex (nb090AlphaDummy094 A) (SemanticCore.Class.cv (nb090AlphaDummy049 A))
(SemanticCore.Wff.classEq (SemanticCore.Class.cv (nb090AlphaDummy093 A))
(Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv (nb090AlphaDummy094 A))))))).fv ∪ (Compiler.CompactSourceSyntax.synCcompl
(SemanticCore.Class.cab (nb090AlphaDummy093 A)
(Compiler.CompactSourceSyntax.synWrex (nb090AlphaDummy094 A) (SemanticCore.Class.cv (nb090AlphaDummy051 A))
(SemanticCore.Wff.classEq (SemanticCore.Class.cv (nb090AlphaDummy093 A))
(Compiler.CompactSourceSyntax.synCun
(Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv (nb090AlphaDummy094 A)))
(Compiler.CompactSourceSyntax.synCsn Compiler.CompactSourceSyntax.synC0c)))))).fv
theorem
NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb090_fresh_873
(h : SemanticCore.Var)
:
nb090AlphaDummy098 h ∉
(Compiler.CompactSourceSyntax.synCcompl
(SemanticCore.Class.cab (nb090AlphaDummy095 h)
(Compiler.CompactSourceSyntax.synWrex (nb090AlphaDummy096 h) (SemanticCore.Class.cv (nb090AlphaDummy052 h))
(SemanticCore.Wff.classEq (SemanticCore.Class.cv (nb090AlphaDummy095 h))
(Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv (nb090AlphaDummy096 h))))))).fv ∪ (Compiler.CompactSourceSyntax.synCcompl
(SemanticCore.Class.cab (nb090AlphaDummy095 h)
(Compiler.CompactSourceSyntax.synWrex (nb090AlphaDummy096 h) (SemanticCore.Class.cv (nb090AlphaDummy054 h))
(SemanticCore.Wff.classEq (SemanticCore.Class.cv (nb090AlphaDummy095 h))
(Compiler.CompactSourceSyntax.synCun
(Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv (nb090AlphaDummy096 h)))
(Compiler.CompactSourceSyntax.synCsn Compiler.CompactSourceSyntax.synC0c)))))).fv
theorem
NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb090_fresh_874
(A : SemanticCore.Class)
:
nb090AlphaDummy139 A ∉
(Compiler.CompactSourceSyntax.synCcompl
(SemanticCore.Class.cab (nb090AlphaDummy135 A)
(Compiler.CompactSourceSyntax.synWrex (nb090AlphaDummy136 A) (SemanticCore.Class.cv (nb090AlphaDummy129 A))
(SemanticCore.Wff.classEq (SemanticCore.Class.cv (nb090AlphaDummy135 A))
(Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv (nb090AlphaDummy136 A))))))).fv ∪ (Compiler.CompactSourceSyntax.synCcompl
(SemanticCore.Class.cab (nb090AlphaDummy135 A)
(Compiler.CompactSourceSyntax.synWrex (nb090AlphaDummy136 A) (SemanticCore.Class.cv (nb090AlphaDummy130 A))
(SemanticCore.Wff.classEq (SemanticCore.Class.cv (nb090AlphaDummy135 A))
(Compiler.CompactSourceSyntax.synCun
(Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv (nb090AlphaDummy136 A)))
(Compiler.CompactSourceSyntax.synCsn Compiler.CompactSourceSyntax.synC0c)))))).fv
theorem
NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb090_fresh_875
(h : SemanticCore.Var)
:
nb090AlphaDummy140 h ∉
(Compiler.CompactSourceSyntax.synCcompl
(SemanticCore.Class.cab (nb090AlphaDummy137 h)
(Compiler.CompactSourceSyntax.synWrex (nb090AlphaDummy138 h) (SemanticCore.Class.cv (nb090AlphaDummy131 h))
(SemanticCore.Wff.classEq (SemanticCore.Class.cv (nb090AlphaDummy137 h))
(Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv (nb090AlphaDummy138 h))))))).fv ∪ (Compiler.CompactSourceSyntax.synCcompl
(SemanticCore.Class.cab (nb090AlphaDummy137 h)
(Compiler.CompactSourceSyntax.synWrex (nb090AlphaDummy138 h) (SemanticCore.Class.cv (nb090AlphaDummy132 h))
(SemanticCore.Wff.classEq (SemanticCore.Class.cv (nb090AlphaDummy137 h))
(Compiler.CompactSourceSyntax.synCun
(Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv (nb090AlphaDummy138 h)))
(Compiler.CompactSourceSyntax.synCsn Compiler.CompactSourceSyntax.synC0c)))))).fv
theorem
NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb090_fresh_876
(A : SemanticCore.Class)
:
nb090AlphaDummy175 A ∉
(Compiler.CompactSourceSyntax.synCcompl
(SemanticCore.Class.cab (nb090AlphaDummy171 A)
(Compiler.CompactSourceSyntax.synWrex (nb090AlphaDummy172 A) (SemanticCore.Class.cv (nb090AlphaDummy130 A))
(SemanticCore.Wff.classEq (SemanticCore.Class.cv (nb090AlphaDummy171 A))
(Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv (nb090AlphaDummy172 A))))))).fv ∪ (Compiler.CompactSourceSyntax.synCcompl
(SemanticCore.Class.cab (nb090AlphaDummy171 A)
(Compiler.CompactSourceSyntax.synWrex (nb090AlphaDummy172 A) (SemanticCore.Class.cv (nb090AlphaDummy129 A))
(SemanticCore.Wff.classEq (SemanticCore.Class.cv (nb090AlphaDummy171 A))
(Compiler.CompactSourceSyntax.synCun
(Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv (nb090AlphaDummy172 A)))
(Compiler.CompactSourceSyntax.synCsn Compiler.CompactSourceSyntax.synC0c)))))).fv
theorem
NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb090_fresh_877
(h : SemanticCore.Var)
:
nb090AlphaDummy176 h ∉
(Compiler.CompactSourceSyntax.synCcompl
(SemanticCore.Class.cab (nb090AlphaDummy173 h)
(Compiler.CompactSourceSyntax.synWrex (nb090AlphaDummy174 h) (SemanticCore.Class.cv (nb090AlphaDummy132 h))
(SemanticCore.Wff.classEq (SemanticCore.Class.cv (nb090AlphaDummy173 h))
(Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv (nb090AlphaDummy174 h))))))).fv ∪ (Compiler.CompactSourceSyntax.synCcompl
(SemanticCore.Class.cab (nb090AlphaDummy173 h)
(Compiler.CompactSourceSyntax.synWrex (nb090AlphaDummy174 h) (SemanticCore.Class.cv (nb090AlphaDummy131 h))
(SemanticCore.Wff.classEq (SemanticCore.Class.cv (nb090AlphaDummy173 h))
(Compiler.CompactSourceSyntax.synCun
(Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv (nb090AlphaDummy174 h)))
(Compiler.CompactSourceSyntax.synCsn Compiler.CompactSourceSyntax.synC0c)))))).fv
theorem
NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb090_fresh_878
(A : SemanticCore.Class)
:
nb090AlphaDummy211 A ∉
(Compiler.CompactSourceSyntax.synCcompl
(SemanticCore.Class.cab (nb090AlphaDummy207 A)
(Compiler.CompactSourceSyntax.synWrex (nb090AlphaDummy208 A) (SemanticCore.Class.cv (nb090AlphaDummy051 A))
(SemanticCore.Wff.classEq (SemanticCore.Class.cv (nb090AlphaDummy207 A))
(Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv (nb090AlphaDummy208 A))))))).fv ∪ (Compiler.CompactSourceSyntax.synCcompl
(SemanticCore.Class.cab (nb090AlphaDummy207 A)
(Compiler.CompactSourceSyntax.synWrex (nb090AlphaDummy208 A) (SemanticCore.Class.cv (nb090AlphaDummy050 A))
(SemanticCore.Wff.classEq (SemanticCore.Class.cv (nb090AlphaDummy207 A))
(Compiler.CompactSourceSyntax.synCun
(Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv (nb090AlphaDummy208 A)))
(Compiler.CompactSourceSyntax.synCsn Compiler.CompactSourceSyntax.synC0c)))))).fv
theorem
NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb090_fresh_879
(h : SemanticCore.Var)
:
nb090AlphaDummy212 h ∉
(Compiler.CompactSourceSyntax.synCcompl
(SemanticCore.Class.cab (nb090AlphaDummy209 h)
(Compiler.CompactSourceSyntax.synWrex (nb090AlphaDummy210 h) (SemanticCore.Class.cv (nb090AlphaDummy054 h))
(SemanticCore.Wff.classEq (SemanticCore.Class.cv (nb090AlphaDummy209 h))
(Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv (nb090AlphaDummy210 h))))))).fv ∪ (Compiler.CompactSourceSyntax.synCcompl
(SemanticCore.Class.cab (nb090AlphaDummy209 h)
(Compiler.CompactSourceSyntax.synWrex (nb090AlphaDummy210 h) (SemanticCore.Class.cv (nb090AlphaDummy053 h))
(SemanticCore.Wff.classEq (SemanticCore.Class.cv (nb090AlphaDummy209 h))
(Compiler.CompactSourceSyntax.synCun
(Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv (nb090AlphaDummy210 h)))
(Compiler.CompactSourceSyntax.synCsn Compiler.CompactSourceSyntax.synC0c)))))).fv
theorem
NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb090_fresh_880
(A : SemanticCore.Class)
:
nb090AlphaDummy251 A ∉
(Compiler.CompactSourceSyntax.synCcompl
(SemanticCore.Class.cab (nb090AlphaDummy247 A)
(Compiler.CompactSourceSyntax.synWrex (nb090AlphaDummy248 A) (SemanticCore.Class.cv (nb090AlphaDummy244 A))
(SemanticCore.Wff.classEq (SemanticCore.Class.cv (nb090AlphaDummy247 A))
(Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv (nb090AlphaDummy248 A))))))).fv ∪ (Compiler.CompactSourceSyntax.synCcompl
(SemanticCore.Class.cab (nb090AlphaDummy247 A)
(Compiler.CompactSourceSyntax.synWrex (nb090AlphaDummy248 A) (SemanticCore.Class.cv (nb090AlphaDummy243 A))
(SemanticCore.Wff.classEq (SemanticCore.Class.cv (nb090AlphaDummy247 A))
(Compiler.CompactSourceSyntax.synCun
(Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv (nb090AlphaDummy248 A)))
(Compiler.CompactSourceSyntax.synCsn Compiler.CompactSourceSyntax.synC0c)))))).fv
theorem
NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb090_fresh_881
(h : SemanticCore.Var)
:
nb090AlphaDummy252 h ∉
(Compiler.CompactSourceSyntax.synCcompl
(SemanticCore.Class.cab (nb090AlphaDummy249 h)
(Compiler.CompactSourceSyntax.synWrex (nb090AlphaDummy250 h) (SemanticCore.Class.cv (nb090AlphaDummy246 h))
(SemanticCore.Wff.classEq (SemanticCore.Class.cv (nb090AlphaDummy249 h))
(Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv (nb090AlphaDummy250 h))))))).fv ∪ (Compiler.CompactSourceSyntax.synCcompl
(SemanticCore.Class.cab (nb090AlphaDummy249 h)
(Compiler.CompactSourceSyntax.synWrex (nb090AlphaDummy250 h) (SemanticCore.Class.cv (nb090AlphaDummy245 h))
(SemanticCore.Wff.classEq (SemanticCore.Class.cv (nb090AlphaDummy249 h))
(Compiler.CompactSourceSyntax.synCun
(Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv (nb090AlphaDummy250 h)))
(Compiler.CompactSourceSyntax.synCsn Compiler.CompactSourceSyntax.synC0c)))))).fv
theorem
NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb090_fresh_882
(A : SemanticCore.Class)
:
nb090AlphaDummy295 A ∉
(Compiler.CompactSourceSyntax.synCcompl
(SemanticCore.Class.cab (nb090AlphaDummy291 A)
(Compiler.CompactSourceSyntax.synWrex (nb090AlphaDummy292 A) (SemanticCore.Class.cv (nb090AlphaDummy001 A))
(SemanticCore.Wff.classEq (SemanticCore.Class.cv (nb090AlphaDummy291 A))
(Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv (nb090AlphaDummy292 A))))))).fv ∪ (Compiler.CompactSourceSyntax.synCcompl
(SemanticCore.Class.cab (nb090AlphaDummy291 A)
(Compiler.CompactSourceSyntax.synWrex (nb090AlphaDummy292 A) (SemanticCore.Class.cv (nb090AlphaDummy283 A))
(SemanticCore.Wff.classEq (SemanticCore.Class.cv (nb090AlphaDummy291 A))
(Compiler.CompactSourceSyntax.synCun
(Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv (nb090AlphaDummy292 A)))
(Compiler.CompactSourceSyntax.synCsn Compiler.CompactSourceSyntax.synC0c)))))).fv
theorem
NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb090_fresh_883
(u : SemanticCore.Var)
:
nb090AlphaDummy296 u ∉
(Compiler.CompactSourceSyntax.synCcompl
(SemanticCore.Class.cab (nb090AlphaDummy293 u)
(Compiler.CompactSourceSyntax.synWrex (nb090AlphaDummy294 u) (SemanticCore.Class.cv u)
(SemanticCore.Wff.classEq (SemanticCore.Class.cv (nb090AlphaDummy293 u))
(Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv (nb090AlphaDummy294 u))))))).fv ∪ (Compiler.CompactSourceSyntax.synCcompl
(SemanticCore.Class.cab (nb090AlphaDummy293 u)
(Compiler.CompactSourceSyntax.synWrex (nb090AlphaDummy294 u) (SemanticCore.Class.cv (nb090AlphaDummy284 u))
(SemanticCore.Wff.classEq (SemanticCore.Class.cv (nb090AlphaDummy293 u))
(Compiler.CompactSourceSyntax.synCun
(Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv (nb090AlphaDummy294 u)))
(Compiler.CompactSourceSyntax.synCsn Compiler.CompactSourceSyntax.synC0c)))))).fv
theorem
NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb090_fresh_884
(A : SemanticCore.Class)
:
nb090AlphaDummy341 A ∉
(Compiler.CompactSourceSyntax.synCcompl
(SemanticCore.Class.cab (nb090AlphaDummy337 A)
(Compiler.CompactSourceSyntax.synWrex (nb090AlphaDummy338 A) (SemanticCore.Class.cv (nb090AlphaDummy334 A))
(SemanticCore.Wff.classEq (SemanticCore.Class.cv (nb090AlphaDummy337 A))
(Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv (nb090AlphaDummy338 A))))))).fv ∪ (Compiler.CompactSourceSyntax.synCcompl
(SemanticCore.Class.cab (nb090AlphaDummy337 A)
(Compiler.CompactSourceSyntax.synWrex (nb090AlphaDummy338 A) (SemanticCore.Class.cv (nb090AlphaDummy333 A))
(SemanticCore.Wff.classEq (SemanticCore.Class.cv (nb090AlphaDummy337 A))
(Compiler.CompactSourceSyntax.synCun
(Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv (nb090AlphaDummy338 A)))
(Compiler.CompactSourceSyntax.synCsn Compiler.CompactSourceSyntax.synC0c)))))).fv
theorem
NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb090_fresh_885
(h : SemanticCore.Var)
:
nb090AlphaDummy342 h ∉
(Compiler.CompactSourceSyntax.synCcompl
(SemanticCore.Class.cab (nb090AlphaDummy339 h)
(Compiler.CompactSourceSyntax.synWrex (nb090AlphaDummy340 h) (SemanticCore.Class.cv (nb090AlphaDummy336 h))
(SemanticCore.Wff.classEq (SemanticCore.Class.cv (nb090AlphaDummy339 h))
(Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv (nb090AlphaDummy340 h))))))).fv ∪ (Compiler.CompactSourceSyntax.synCcompl
(SemanticCore.Class.cab (nb090AlphaDummy339 h)
(Compiler.CompactSourceSyntax.synWrex (nb090AlphaDummy340 h) (SemanticCore.Class.cv (nb090AlphaDummy335 h))
(SemanticCore.Wff.classEq (SemanticCore.Class.cv (nb090AlphaDummy339 h))
(Compiler.CompactSourceSyntax.synCun
(Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv (nb090AlphaDummy340 h)))
(Compiler.CompactSourceSyntax.synCsn Compiler.CompactSourceSyntax.synC0c)))))).fv
theorem
NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb090_fresh_886
(A : SemanticCore.Class)
:
nb090AlphaDummy385 A ∉
(Compiler.CompactSourceSyntax.synCcompl
(SemanticCore.Class.cab (nb090AlphaDummy381 A)
(Compiler.CompactSourceSyntax.synWrex (nb090AlphaDummy382 A) (SemanticCore.Class.cv (nb090AlphaDummy002 A))
(SemanticCore.Wff.classEq (SemanticCore.Class.cv (nb090AlphaDummy381 A))
(Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv (nb090AlphaDummy382 A))))))).fv ∪ (Compiler.CompactSourceSyntax.synCcompl
(SemanticCore.Class.cab (nb090AlphaDummy381 A)
(Compiler.CompactSourceSyntax.synWrex (nb090AlphaDummy382 A) (SemanticCore.Class.cv (nb090AlphaDummy373 A))
(SemanticCore.Wff.classEq (SemanticCore.Class.cv (nb090AlphaDummy381 A))
(Compiler.CompactSourceSyntax.synCun
(Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv (nb090AlphaDummy382 A)))
(Compiler.CompactSourceSyntax.synCsn Compiler.CompactSourceSyntax.synC0c)))))).fv
theorem
NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb090_fresh_887
(v : SemanticCore.Var)
:
nb090AlphaDummy386 v ∉
(Compiler.CompactSourceSyntax.synCcompl
(SemanticCore.Class.cab (nb090AlphaDummy383 v)
(Compiler.CompactSourceSyntax.synWrex (nb090AlphaDummy384 v) (SemanticCore.Class.cv v)
(SemanticCore.Wff.classEq (SemanticCore.Class.cv (nb090AlphaDummy383 v))
(Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv (nb090AlphaDummy384 v))))))).fv ∪ (Compiler.CompactSourceSyntax.synCcompl
(SemanticCore.Class.cab (nb090AlphaDummy383 v)
(Compiler.CompactSourceSyntax.synWrex (nb090AlphaDummy384 v) (SemanticCore.Class.cv (nb090AlphaDummy374 v))
(SemanticCore.Wff.classEq (SemanticCore.Class.cv (nb090AlphaDummy383 v))
(Compiler.CompactSourceSyntax.synCun
(Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv (nb090AlphaDummy384 v)))
(Compiler.CompactSourceSyntax.synCsn Compiler.CompactSourceSyntax.synC0c)))))).fv
theorem
NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb090_fresh_888
(A : SemanticCore.Class)
:
nb090AlphaDummy435 A ∉
(Compiler.CompactSourceSyntax.synCcompl
(SemanticCore.Class.cab (nb090AlphaDummy431 A)
(Compiler.CompactSourceSyntax.synWrex (nb090AlphaDummy432 A) (SemanticCore.Class.cv (nb090AlphaDummy423 A))
(SemanticCore.Wff.classEq (SemanticCore.Class.cv (nb090AlphaDummy431 A))
(Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv (nb090AlphaDummy432 A))))))).fv ∪ (Compiler.CompactSourceSyntax.synCcompl
(SemanticCore.Class.cab (nb090AlphaDummy431 A)
(Compiler.CompactSourceSyntax.synWrex (nb090AlphaDummy432 A) (SemanticCore.Class.cv (nb090AlphaDummy424 A))
(SemanticCore.Wff.classEq (SemanticCore.Class.cv (nb090AlphaDummy431 A))
(Compiler.CompactSourceSyntax.synCun
(Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv (nb090AlphaDummy432 A)))
(Compiler.CompactSourceSyntax.synCsn Compiler.CompactSourceSyntax.synC0c)))))).fv
theorem
NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb090_fresh_889
(h : SemanticCore.Var)
:
nb090AlphaDummy436 h ∉
(Compiler.CompactSourceSyntax.synCcompl
(SemanticCore.Class.cab (nb090AlphaDummy433 h)
(Compiler.CompactSourceSyntax.synWrex (nb090AlphaDummy434 h) (SemanticCore.Class.cv (nb090AlphaDummy426 h))
(SemanticCore.Wff.classEq (SemanticCore.Class.cv (nb090AlphaDummy433 h))
(Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv (nb090AlphaDummy434 h))))))).fv ∪ (Compiler.CompactSourceSyntax.synCcompl
(SemanticCore.Class.cab (nb090AlphaDummy433 h)
(Compiler.CompactSourceSyntax.synWrex (nb090AlphaDummy434 h) (SemanticCore.Class.cv (nb090AlphaDummy427 h))
(SemanticCore.Wff.classEq (SemanticCore.Class.cv (nb090AlphaDummy433 h))
(Compiler.CompactSourceSyntax.synCun
(Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv (nb090AlphaDummy434 h)))
(Compiler.CompactSourceSyntax.synCsn Compiler.CompactSourceSyntax.synC0c)))))).fv
theorem
NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb090_fresh_890
(A : SemanticCore.Class)
:
nb090AlphaDummy471 A ∉
(Compiler.CompactSourceSyntax.synCcompl
(SemanticCore.Class.cab (nb090AlphaDummy467 A)
(Compiler.CompactSourceSyntax.synWrex (nb090AlphaDummy468 A) (SemanticCore.Class.cv (nb090AlphaDummy423 A))
(SemanticCore.Wff.classEq (SemanticCore.Class.cv (nb090AlphaDummy467 A))
(Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv (nb090AlphaDummy468 A))))))).fv ∪ (Compiler.CompactSourceSyntax.synCcompl
(SemanticCore.Class.cab (nb090AlphaDummy467 A)
(Compiler.CompactSourceSyntax.synWrex (nb090AlphaDummy468 A) (SemanticCore.Class.cv (nb090AlphaDummy425 A))
(SemanticCore.Wff.classEq (SemanticCore.Class.cv (nb090AlphaDummy467 A))
(Compiler.CompactSourceSyntax.synCun
(Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv (nb090AlphaDummy468 A)))
(Compiler.CompactSourceSyntax.synCsn Compiler.CompactSourceSyntax.synC0c)))))).fv
theorem
NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb090_fresh_891
(h : SemanticCore.Var)
:
nb090AlphaDummy472 h ∉
(Compiler.CompactSourceSyntax.synCcompl
(SemanticCore.Class.cab (nb090AlphaDummy469 h)
(Compiler.CompactSourceSyntax.synWrex (nb090AlphaDummy470 h) (SemanticCore.Class.cv (nb090AlphaDummy426 h))
(SemanticCore.Wff.classEq (SemanticCore.Class.cv (nb090AlphaDummy469 h))
(Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv (nb090AlphaDummy470 h))))))).fv ∪ (Compiler.CompactSourceSyntax.synCcompl
(SemanticCore.Class.cab (nb090AlphaDummy469 h)
(Compiler.CompactSourceSyntax.synWrex (nb090AlphaDummy470 h) (SemanticCore.Class.cv (nb090AlphaDummy428 h))
(SemanticCore.Wff.classEq (SemanticCore.Class.cv (nb090AlphaDummy469 h))
(Compiler.CompactSourceSyntax.synCun
(Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv (nb090AlphaDummy470 h)))
(Compiler.CompactSourceSyntax.synCsn Compiler.CompactSourceSyntax.synC0c)))))).fv
theorem
NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb090_fresh_892
(A : SemanticCore.Class)
:
nb090AlphaDummy513 A ∉
(Compiler.CompactSourceSyntax.synCcompl
(SemanticCore.Class.cab (nb090AlphaDummy509 A)
(Compiler.CompactSourceSyntax.synWrex (nb090AlphaDummy510 A) (SemanticCore.Class.cv (nb090AlphaDummy503 A))
(SemanticCore.Wff.classEq (SemanticCore.Class.cv (nb090AlphaDummy509 A))
(Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv (nb090AlphaDummy510 A))))))).fv ∪ (Compiler.CompactSourceSyntax.synCcompl
(SemanticCore.Class.cab (nb090AlphaDummy509 A)
(Compiler.CompactSourceSyntax.synWrex (nb090AlphaDummy510 A) (SemanticCore.Class.cv (nb090AlphaDummy504 A))
(SemanticCore.Wff.classEq (SemanticCore.Class.cv (nb090AlphaDummy509 A))
(Compiler.CompactSourceSyntax.synCun
(Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv (nb090AlphaDummy510 A)))
(Compiler.CompactSourceSyntax.synCsn Compiler.CompactSourceSyntax.synC0c)))))).fv
theorem
NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb090_fresh_893
(h : SemanticCore.Var)
:
nb090AlphaDummy514 h ∉
(Compiler.CompactSourceSyntax.synCcompl
(SemanticCore.Class.cab (nb090AlphaDummy511 h)
(Compiler.CompactSourceSyntax.synWrex (nb090AlphaDummy512 h) (SemanticCore.Class.cv (nb090AlphaDummy505 h))
(SemanticCore.Wff.classEq (SemanticCore.Class.cv (nb090AlphaDummy511 h))
(Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv (nb090AlphaDummy512 h))))))).fv ∪ (Compiler.CompactSourceSyntax.synCcompl
(SemanticCore.Class.cab (nb090AlphaDummy511 h)
(Compiler.CompactSourceSyntax.synWrex (nb090AlphaDummy512 h) (SemanticCore.Class.cv (nb090AlphaDummy506 h))
(SemanticCore.Wff.classEq (SemanticCore.Class.cv (nb090AlphaDummy511 h))
(Compiler.CompactSourceSyntax.synCun
(Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv (nb090AlphaDummy512 h)))
(Compiler.CompactSourceSyntax.synCsn Compiler.CompactSourceSyntax.synC0c)))))).fv
theorem
NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb090_fresh_894
(A : SemanticCore.Class)
:
nb090AlphaDummy549 A ∉
(Compiler.CompactSourceSyntax.synCcompl
(SemanticCore.Class.cab (nb090AlphaDummy545 A)
(Compiler.CompactSourceSyntax.synWrex (nb090AlphaDummy546 A) (SemanticCore.Class.cv (nb090AlphaDummy504 A))
(SemanticCore.Wff.classEq (SemanticCore.Class.cv (nb090AlphaDummy545 A))
(Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv (nb090AlphaDummy546 A))))))).fv ∪ (Compiler.CompactSourceSyntax.synCcompl
(SemanticCore.Class.cab (nb090AlphaDummy545 A)
(Compiler.CompactSourceSyntax.synWrex (nb090AlphaDummy546 A) (SemanticCore.Class.cv (nb090AlphaDummy503 A))
(SemanticCore.Wff.classEq (SemanticCore.Class.cv (nb090AlphaDummy545 A))
(Compiler.CompactSourceSyntax.synCun
(Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv (nb090AlphaDummy546 A)))
(Compiler.CompactSourceSyntax.synCsn Compiler.CompactSourceSyntax.synC0c)))))).fv
theorem
NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb090_fresh_895
(h : SemanticCore.Var)
:
nb090AlphaDummy550 h ∉
(Compiler.CompactSourceSyntax.synCcompl
(SemanticCore.Class.cab (nb090AlphaDummy547 h)
(Compiler.CompactSourceSyntax.synWrex (nb090AlphaDummy548 h) (SemanticCore.Class.cv (nb090AlphaDummy506 h))
(SemanticCore.Wff.classEq (SemanticCore.Class.cv (nb090AlphaDummy547 h))
(Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv (nb090AlphaDummy548 h))))))).fv ∪ (Compiler.CompactSourceSyntax.synCcompl
(SemanticCore.Class.cab (nb090AlphaDummy547 h)
(Compiler.CompactSourceSyntax.synWrex (nb090AlphaDummy548 h) (SemanticCore.Class.cv (nb090AlphaDummy505 h))
(SemanticCore.Wff.classEq (SemanticCore.Class.cv (nb090AlphaDummy547 h))
(Compiler.CompactSourceSyntax.synCun
(Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv (nb090AlphaDummy548 h)))
(Compiler.CompactSourceSyntax.synCsn Compiler.CompactSourceSyntax.synC0c)))))).fv
theorem
NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb090_fresh_896
(A : SemanticCore.Class)
:
nb090AlphaDummy585 A ∉
(Compiler.CompactSourceSyntax.synCcompl
(SemanticCore.Class.cab (nb090AlphaDummy581 A)
(Compiler.CompactSourceSyntax.synWrex (nb090AlphaDummy582 A) (SemanticCore.Class.cv (nb090AlphaDummy425 A))
(SemanticCore.Wff.classEq (SemanticCore.Class.cv (nb090AlphaDummy581 A))
(Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv (nb090AlphaDummy582 A))))))).fv ∪ (Compiler.CompactSourceSyntax.synCcompl
(SemanticCore.Class.cab (nb090AlphaDummy581 A)
(Compiler.CompactSourceSyntax.synWrex (nb090AlphaDummy582 A) (SemanticCore.Class.cv (nb090AlphaDummy424 A))
(SemanticCore.Wff.classEq (SemanticCore.Class.cv (nb090AlphaDummy581 A))
(Compiler.CompactSourceSyntax.synCun
(Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv (nb090AlphaDummy582 A)))
(Compiler.CompactSourceSyntax.synCsn Compiler.CompactSourceSyntax.synC0c)))))).fv
theorem
NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb090_fresh_897
(h : SemanticCore.Var)
:
nb090AlphaDummy586 h ∉
(Compiler.CompactSourceSyntax.synCcompl
(SemanticCore.Class.cab (nb090AlphaDummy583 h)
(Compiler.CompactSourceSyntax.synWrex (nb090AlphaDummy584 h) (SemanticCore.Class.cv (nb090AlphaDummy428 h))
(SemanticCore.Wff.classEq (SemanticCore.Class.cv (nb090AlphaDummy583 h))
(Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv (nb090AlphaDummy584 h))))))).fv ∪ (Compiler.CompactSourceSyntax.synCcompl
(SemanticCore.Class.cab (nb090AlphaDummy583 h)
(Compiler.CompactSourceSyntax.synWrex (nb090AlphaDummy584 h) (SemanticCore.Class.cv (nb090AlphaDummy427 h))
(SemanticCore.Wff.classEq (SemanticCore.Class.cv (nb090AlphaDummy583 h))
(Compiler.CompactSourceSyntax.synCun
(Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv (nb090AlphaDummy584 h)))
(Compiler.CompactSourceSyntax.synCsn Compiler.CompactSourceSyntax.synC0c)))))).fv
theorem
NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb090_fresh_898
(A : SemanticCore.Class)
:
nb090AlphaDummy621 A ∉
(Compiler.CompactSourceSyntax.synCcompl
(SemanticCore.Class.cab (nb090AlphaDummy617 A)
(Compiler.CompactSourceSyntax.synWrex (nb090AlphaDummy618 A) (SemanticCore.Class.cv (nb090AlphaDummy041 A))
(SemanticCore.Wff.classEq (SemanticCore.Class.cv (nb090AlphaDummy617 A))
(Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv (nb090AlphaDummy618 A))))))).fv ∪ (Compiler.CompactSourceSyntax.synCcompl
(SemanticCore.Class.cab (nb090AlphaDummy617 A)
(Compiler.CompactSourceSyntax.synWrex (nb090AlphaDummy618 A) (SemanticCore.Class.cv (nb090AlphaDummy042 A))
(SemanticCore.Wff.classEq (SemanticCore.Class.cv (nb090AlphaDummy617 A))
(Compiler.CompactSourceSyntax.synCun
(Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv (nb090AlphaDummy618 A)))
(Compiler.CompactSourceSyntax.synCsn Compiler.CompactSourceSyntax.synC0c)))))).fv
theorem
NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb090_fresh_899
(v u h : SemanticCore.Var)
:
nb090AlphaDummy622 v u h ∉
(Compiler.CompactSourceSyntax.synCcompl
(SemanticCore.Class.cab (nb090AlphaDummy619 v u h)
(Compiler.CompactSourceSyntax.synWrex (nb090AlphaDummy620 v u h)
(SemanticCore.Class.cv (nb090AlphaDummy043 v u h))
(SemanticCore.Wff.classEq (SemanticCore.Class.cv (nb090AlphaDummy619 v u h))
(Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv (nb090AlphaDummy620 v u h))))))).fv ∪ (Compiler.CompactSourceSyntax.synCcompl
(SemanticCore.Class.cab (nb090AlphaDummy619 v u h)
(Compiler.CompactSourceSyntax.synWrex (nb090AlphaDummy620 v u h)
(SemanticCore.Class.cv (nb090AlphaDummy044 v u h))
(SemanticCore.Wff.classEq (SemanticCore.Class.cv (nb090AlphaDummy619 v u h))
(Compiler.CompactSourceSyntax.synCun
(Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv (nb090AlphaDummy620 v u h)))
(Compiler.CompactSourceSyntax.synCsn Compiler.CompactSourceSyntax.synC0c)))))).fv
theorem
NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb090_fresh_900
(A : SemanticCore.Class)
:
nb090AlphaDummy665 A ∉
(Compiler.CompactSourceSyntax.synCcompl
(SemanticCore.Class.cab (nb090AlphaDummy661 A)
(Compiler.CompactSourceSyntax.synWrex (nb090AlphaDummy662 A) (SemanticCore.Class.cv (nb090AlphaDummy001 A))
(SemanticCore.Wff.classEq (SemanticCore.Class.cv (nb090AlphaDummy661 A))
(Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv (nb090AlphaDummy662 A))))))).fv ∪ (Compiler.CompactSourceSyntax.synCcompl
(SemanticCore.Class.cab (nb090AlphaDummy661 A)
(Compiler.CompactSourceSyntax.synWrex (nb090AlphaDummy662 A) (SemanticCore.Class.cv (nb090AlphaDummy653 A))
(SemanticCore.Wff.classEq (SemanticCore.Class.cv (nb090AlphaDummy661 A))
(Compiler.CompactSourceSyntax.synCun
(Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv (nb090AlphaDummy662 A)))
(Compiler.CompactSourceSyntax.synCsn Compiler.CompactSourceSyntax.synC0c)))))).fv
theorem
NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb090_fresh_901
(u : SemanticCore.Var)
:
nb090AlphaDummy666 u ∉
(Compiler.CompactSourceSyntax.synCcompl
(SemanticCore.Class.cab (nb090AlphaDummy663 u)
(Compiler.CompactSourceSyntax.synWrex (nb090AlphaDummy664 u) (SemanticCore.Class.cv u)
(SemanticCore.Wff.classEq (SemanticCore.Class.cv (nb090AlphaDummy663 u))
(Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv (nb090AlphaDummy664 u))))))).fv ∪ (Compiler.CompactSourceSyntax.synCcompl
(SemanticCore.Class.cab (nb090AlphaDummy663 u)
(Compiler.CompactSourceSyntax.synWrex (nb090AlphaDummy664 u) (SemanticCore.Class.cv (nb090AlphaDummy654 u))
(SemanticCore.Wff.classEq (SemanticCore.Class.cv (nb090AlphaDummy663 u))
(Compiler.CompactSourceSyntax.synCun
(Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv (nb090AlphaDummy664 u)))
(Compiler.CompactSourceSyntax.synCsn Compiler.CompactSourceSyntax.synC0c)))))).fv
theorem
NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb090_fresh_902
(A : SemanticCore.Class)
:
nb090AlphaDummy703 A ∉
(Compiler.CompactSourceSyntax.synCcompl
(SemanticCore.Class.cab (nb090AlphaDummy699 A)
(Compiler.CompactSourceSyntax.synWrex (nb090AlphaDummy700 A)
(Compiler.CompactSourceSyntax.synCfv (SemanticCore.Class.cv (nb090AlphaDummy000 A))
(SemanticCore.Class.cv (nb090AlphaDummy041 A)))
(SemanticCore.Wff.classEq (SemanticCore.Class.cv (nb090AlphaDummy699 A))
(Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv (nb090AlphaDummy700 A))))))).fv ∪ (Compiler.CompactSourceSyntax.synCcompl
(SemanticCore.Class.cab (nb090AlphaDummy699 A)
(Compiler.CompactSourceSyntax.synWrex (nb090AlphaDummy700 A)
(Compiler.CompactSourceSyntax.synCfv (SemanticCore.Class.cv (nb090AlphaDummy000 A))
(SemanticCore.Class.cv (nb090AlphaDummy042 A)))
(SemanticCore.Wff.classEq (SemanticCore.Class.cv (nb090AlphaDummy699 A))
(Compiler.CompactSourceSyntax.synCun
(Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv (nb090AlphaDummy700 A)))
(Compiler.CompactSourceSyntax.synCsn Compiler.CompactSourceSyntax.synC0c)))))).fv
theorem
NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb090_fresh_903
(v u h : SemanticCore.Var)
:
nb090AlphaDummy704 v u h ∉
(Compiler.CompactSourceSyntax.synCcompl
(SemanticCore.Class.cab (nb090AlphaDummy701 v u h)
(Compiler.CompactSourceSyntax.synWrex (nb090AlphaDummy702 v u h)
(Compiler.CompactSourceSyntax.synCfv (SemanticCore.Class.cv h)
(SemanticCore.Class.cv (nb090AlphaDummy043 v u h)))
(SemanticCore.Wff.classEq (SemanticCore.Class.cv (nb090AlphaDummy701 v u h))
(Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv (nb090AlphaDummy702 v u h))))))).fv ∪ (Compiler.CompactSourceSyntax.synCcompl
(SemanticCore.Class.cab (nb090AlphaDummy701 v u h)
(Compiler.CompactSourceSyntax.synWrex (nb090AlphaDummy702 v u h)
(Compiler.CompactSourceSyntax.synCfv (SemanticCore.Class.cv h)
(SemanticCore.Class.cv (nb090AlphaDummy044 v u h)))
(SemanticCore.Wff.classEq (SemanticCore.Class.cv (nb090AlphaDummy701 v u h))
(Compiler.CompactSourceSyntax.synCun
(Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv (nb090AlphaDummy702 v u h)))
(Compiler.CompactSourceSyntax.synCsn Compiler.CompactSourceSyntax.synC0c)))))).fv
theorem
NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb090_fresh_904
(A : SemanticCore.Class)
:
nb090AlphaDummy719 A ∉
(Compiler.CompactSourceSyntax.synCcompl
(SemanticCore.Class.cab (nb090AlphaDummy715 A)
(Compiler.CompactSourceSyntax.synWrex (nb090AlphaDummy716 A) (SemanticCore.Class.cv (nb090AlphaDummy041 A))
(SemanticCore.Wff.classEq (SemanticCore.Class.cv (nb090AlphaDummy715 A))
(Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv (nb090AlphaDummy716 A))))))).fv ∪ (Compiler.CompactSourceSyntax.synCcompl
(SemanticCore.Class.cab (nb090AlphaDummy715 A)
(Compiler.CompactSourceSyntax.synWrex (nb090AlphaDummy716 A) (SemanticCore.Class.cv (nb090AlphaDummy707 A))
(SemanticCore.Wff.classEq (SemanticCore.Class.cv (nb090AlphaDummy715 A))
(Compiler.CompactSourceSyntax.synCun
(Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv (nb090AlphaDummy716 A)))
(Compiler.CompactSourceSyntax.synCsn Compiler.CompactSourceSyntax.synC0c)))))).fv
theorem
NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb090_fresh_905
(v u h : SemanticCore.Var)
:
nb090AlphaDummy720 v u h ∉
(Compiler.CompactSourceSyntax.synCcompl
(SemanticCore.Class.cab (nb090AlphaDummy717 v u h)
(Compiler.CompactSourceSyntax.synWrex (nb090AlphaDummy718 v u h)
(SemanticCore.Class.cv (nb090AlphaDummy043 v u h))
(SemanticCore.Wff.classEq (SemanticCore.Class.cv (nb090AlphaDummy717 v u h))
(Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv (nb090AlphaDummy718 v u h))))))).fv ∪ (Compiler.CompactSourceSyntax.synCcompl
(SemanticCore.Class.cab (nb090AlphaDummy717 v u h)
(Compiler.CompactSourceSyntax.synWrex (nb090AlphaDummy718 v u h)
(SemanticCore.Class.cv (nb090AlphaDummy708 v u h))
(SemanticCore.Wff.classEq (SemanticCore.Class.cv (nb090AlphaDummy717 v u h))
(Compiler.CompactSourceSyntax.synCun
(Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv (nb090AlphaDummy718 v u h)))
(Compiler.CompactSourceSyntax.synCsn Compiler.CompactSourceSyntax.synC0c)))))).fv
theorem
NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb090_fresh_906
(A : SemanticCore.Class)
:
nb090AlphaDummy789 A ∉
(Compiler.CompactSourceSyntax.synCcompl
(SemanticCore.Class.cab (nb090AlphaDummy785 A)
(Compiler.CompactSourceSyntax.synWrex (nb090AlphaDummy786 A) (SemanticCore.Class.cv (nb090AlphaDummy042 A))
(SemanticCore.Wff.classEq (SemanticCore.Class.cv (nb090AlphaDummy785 A))
(Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv (nb090AlphaDummy786 A))))))).fv ∪ (Compiler.CompactSourceSyntax.synCcompl
(SemanticCore.Class.cab (nb090AlphaDummy785 A)
(Compiler.CompactSourceSyntax.synWrex (nb090AlphaDummy786 A) (SemanticCore.Class.cv (nb090AlphaDummy777 A))
(SemanticCore.Wff.classEq (SemanticCore.Class.cv (nb090AlphaDummy785 A))
(Compiler.CompactSourceSyntax.synCun
(Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv (nb090AlphaDummy786 A)))
(Compiler.CompactSourceSyntax.synCsn Compiler.CompactSourceSyntax.synC0c)))))).fv
theorem
NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb090_fresh_907
(v u h : SemanticCore.Var)
:
nb090AlphaDummy790 v u h ∉
(Compiler.CompactSourceSyntax.synCcompl
(SemanticCore.Class.cab (nb090AlphaDummy787 v u h)
(Compiler.CompactSourceSyntax.synWrex (nb090AlphaDummy788 v u h)
(SemanticCore.Class.cv (nb090AlphaDummy044 v u h))
(SemanticCore.Wff.classEq (SemanticCore.Class.cv (nb090AlphaDummy787 v u h))
(Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv (nb090AlphaDummy788 v u h))))))).fv ∪ (Compiler.CompactSourceSyntax.synCcompl
(SemanticCore.Class.cab (nb090AlphaDummy787 v u h)
(Compiler.CompactSourceSyntax.synWrex (nb090AlphaDummy788 v u h)
(SemanticCore.Class.cv (nb090AlphaDummy778 v u h))
(SemanticCore.Wff.classEq (SemanticCore.Class.cv (nb090AlphaDummy787 v u h))
(Compiler.CompactSourceSyntax.synCun
(Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv (nb090AlphaDummy788 v u h)))
(Compiler.CompactSourceSyntax.synCsn Compiler.CompactSourceSyntax.synC0c)))))).fv
theorem
NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb090_fresh_908
(A : SemanticCore.Class)
:
nb090AlphaDummy839 A ∉
(Compiler.CompactSourceSyntax.synCcompl
(SemanticCore.Class.cab (nb090AlphaDummy835 A)
(Compiler.CompactSourceSyntax.synWrex (nb090AlphaDummy836 A) (SemanticCore.Class.cv (nb090AlphaDummy002 A))
(SemanticCore.Wff.classEq (SemanticCore.Class.cv (nb090AlphaDummy835 A))
(Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv (nb090AlphaDummy836 A))))))).fv ∪ (Compiler.CompactSourceSyntax.synCcompl
(SemanticCore.Class.cab (nb090AlphaDummy835 A)
(Compiler.CompactSourceSyntax.synWrex (nb090AlphaDummy836 A) (SemanticCore.Class.cv (nb090AlphaDummy827 A))
(SemanticCore.Wff.classEq (SemanticCore.Class.cv (nb090AlphaDummy835 A))
(Compiler.CompactSourceSyntax.synCun
(Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv (nb090AlphaDummy836 A)))
(Compiler.CompactSourceSyntax.synCsn Compiler.CompactSourceSyntax.synC0c)))))).fv
theorem
NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb090_fresh_909
(v : SemanticCore.Var)
:
nb090AlphaDummy840 v ∉
(Compiler.CompactSourceSyntax.synCcompl
(SemanticCore.Class.cab (nb090AlphaDummy837 v)
(Compiler.CompactSourceSyntax.synWrex (nb090AlphaDummy838 v) (SemanticCore.Class.cv v)
(SemanticCore.Wff.classEq (SemanticCore.Class.cv (nb090AlphaDummy837 v))
(Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv (nb090AlphaDummy838 v))))))).fv ∪ (Compiler.CompactSourceSyntax.synCcompl
(SemanticCore.Class.cab (nb090AlphaDummy837 v)
(Compiler.CompactSourceSyntax.synWrex (nb090AlphaDummy838 v) (SemanticCore.Class.cv (nb090AlphaDummy828 v))
(SemanticCore.Wff.classEq (SemanticCore.Class.cv (nb090AlphaDummy837 v))
(Compiler.CompactSourceSyntax.synCun
(Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv (nb090AlphaDummy838 v)))
(Compiler.CompactSourceSyntax.synCsn Compiler.CompactSourceSyntax.synC0c)))))).fv