NF weak partition development: NAR4H5C095M3Part044.
noncomputable def
NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb095SplitAlpha0097
(x u : SemanticCore.Var)
(D R S_cls : SemanticCore.Class)
(f : SemanticCore.Var)
(E : SemanticCore.Class)
:
Nominal.TAlphaWff
[(nb095AlphaDummy833 D R S_cls E, nb095AlphaDummy834 u S_cls E), (nb095AlphaDummy831 D R S_cls E, nb095AlphaDummy832 u S_cls E), (nb095AlphaDummy800 D R S_cls E, nb095AlphaDummy802 u S_cls E), (nb095AlphaDummy799 D R S_cls E, nb095AlphaDummy801 u S_cls E), (nb095AlphaDummy829 D R S_cls E, nb095AlphaDummy830 u S_cls E), (nb095AlphaDummy803 D R S_cls E, nb095AlphaDummy804 u S_cls E), (nb095AlphaDummy794 D R S_cls E, nb095AlphaDummy796 u S_cls E), (nb095AlphaDummy793 D R S_cls E, nb095AlphaDummy795 u S_cls E), (nb095AlphaDummy797 D R S_cls E, nb095AlphaDummy798 u S_cls E), (nb095AlphaDummy791 D R S_cls E, nb095AlphaDummy792 u S_cls E), (nb095AlphaDummy789 D R S_cls E, nb095AlphaDummy790 u S_cls E), (nb095AlphaDummy004 D R S_cls E, nb095AlphaDummy006 x u D R S_cls f E), (nb095AlphaDummy003 D R S_cls E, nb095AlphaDummy005 x u D R S_cls f E), (nb095AlphaDummy001 D R S_cls E, u), (nb095AlphaDummy002 D R S_cls E, x), (nb095AlphaDummy000 D R S_cls E, f)]
((SemanticCore.Wff.classMem (SemanticCore.Class.cv (nb095AlphaDummy833 D R S_cls E))
(Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv (nb095AlphaDummy800 D R S_cls E)))).imp
(SemanticCore.Wff.classMem (SemanticCore.Class.cv (nb095AlphaDummy833 D R S_cls E))
(Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv (nb095AlphaDummy800 D R S_cls E)))).neg)
((SemanticCore.Wff.classMem (SemanticCore.Class.cv (nb095AlphaDummy834 u S_cls E))
(Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv (nb095AlphaDummy802 u S_cls E)))).imp
(SemanticCore.Wff.classMem (SemanticCore.Class.cv (nb095AlphaDummy834 u S_cls E))
(Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv (nb095AlphaDummy802 u S_cls E)))).neg)
Checked nominal proof certificate identified upstream as nb095_split_alpha_0097.
Equations
- One or more equations did not get rendered due to their size.
Instances For
theorem
NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb095_focused_notmem_0080
(D R S_cls E : SemanticCore.Class)
:
nb095AlphaDummy794 D R S_cls E ∉ E.fv
theorem
NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb095_focused_notmem_0081
(u : SemanticCore.Var)
(S_cls E : SemanticCore.Class)
:
nb095AlphaDummy796 u S_cls E ∉ E.fv
theorem
NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb095_focused_notmem_0082
(D R S_cls E : SemanticCore.Class)
:
nb095AlphaDummy793 D R S_cls E ∉ E.fv
theorem
NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb095_focused_notmem_0083
(u : SemanticCore.Var)
(S_cls E : SemanticCore.Class)
:
nb095AlphaDummy795 u S_cls E ∉ E.fv
theorem
NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb095_focused_notmem_0084
(D R S_cls E : SemanticCore.Class)
:
nb095AlphaDummy797 D R S_cls E ∉ E.fv
theorem
NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb095_focused_notmem_0085
(u : SemanticCore.Var)
(S_cls E : SemanticCore.Class)
:
nb095AlphaDummy798 u S_cls E ∉ E.fv
theorem
NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb095_focused_notmem_0086
(D R S_cls E : SemanticCore.Class)
:
nb095AlphaDummy791 D R S_cls E ∉ E.fv
theorem
NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb095_focused_notmem_0087
(u : SemanticCore.Var)
(S_cls E : SemanticCore.Class)
:
nb095AlphaDummy792 u S_cls E ∉ E.fv
theorem
NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb095_focused_notmem_0088
(D R S_cls E : SemanticCore.Class)
:
nb095AlphaDummy789 D R S_cls E ∉ E.fv
theorem
NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb095_focused_notmem_0089
(u : SemanticCore.Var)
(S_cls E : SemanticCore.Class)
:
nb095AlphaDummy790 u S_cls E ∉ E.fv
theorem
NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb095_focused_notmem_0090
(D R S_cls E : SemanticCore.Class)
:
nb095AlphaDummy004 D R S_cls E ∉ E.fv
theorem
NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb095_focused_notmem_0091
(x u : SemanticCore.Var)
(D R S_cls : SemanticCore.Class)
(f : SemanticCore.Var)
(E : SemanticCore.Class)
:
nb095AlphaDummy006 x u D R S_cls f E ∉ E.fv
theorem
NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb095_focused_notmem_0092
(D R S_cls E : SemanticCore.Class)
:
nb095AlphaDummy003 D R S_cls E ∉ E.fv
theorem
NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb095_focused_notmem_0093
(x u : SemanticCore.Var)
(D R S_cls : SemanticCore.Class)
(f : SemanticCore.Var)
(E : SemanticCore.Class)
:
nb095AlphaDummy005 x u D R S_cls f E ∉ E.fv
theorem
NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb095_compact_envfresh_0336
(x u : SemanticCore.Var)
(D R S_cls : SemanticCore.Class)
(f : SemanticCore.Var)
(E : SemanticCore.Class)
(dv_E_f : f ∉ E.fv)
(dv_E_u : u ∉ E.fv)
(dv_E_x : x ∉ E.fv)
:
Nominal.TEnvFresh
[(nb095AlphaDummy337 D R S_cls E, nb095AlphaDummy338 u S_cls E), (nb095AlphaDummy335 D R S_cls E, nb095AlphaDummy336 u S_cls E), (nb095AlphaDummy794 D R S_cls E, nb095AlphaDummy796 u S_cls E), (nb095AlphaDummy793 D R S_cls E, nb095AlphaDummy795 u S_cls E), (nb095AlphaDummy797 D R S_cls E, nb095AlphaDummy798 u S_cls E), (nb095AlphaDummy791 D R S_cls E, nb095AlphaDummy792 u S_cls E), (nb095AlphaDummy789 D R S_cls E, nb095AlphaDummy790 u S_cls E), (nb095AlphaDummy004 D R S_cls E, nb095AlphaDummy006 x u D R S_cls f E), (nb095AlphaDummy003 D R S_cls E, nb095AlphaDummy005 x u D R S_cls f E), (nb095AlphaDummy001 D R S_cls E, u), (nb095AlphaDummy002 D R S_cls E, x), (nb095AlphaDummy000 D R S_cls E, f)]
E.fv