Nuprl Lemma : eo-restrict_wf_extended

∀[Info:Type]. ∀[es:EO+(Info)]. ∀[P:E ─→ 𝔹].  (eo-restrict(es;P) ∈ EO+(Info))


Proof




Definitions occuring in Statement :  event-ordering+: EO+(Info),  eo-restrict: eo-restrict(eo;P),  es-E: E,  bool: 𝔹,  uall: ∀[x:A]. B[x],  member: t ∈ T,  function: x:A ─→ B[x],  universe: Type
Lemmas :  eq_atom_wf,  bool_wf,  uiff_transitivity,  equal-wf-base,  atom_subtype_base,  assert_wf,  eqtt_to_assert,  assert_of_eq_atom,  subtype_base_sq,  iff_transitivity,  bnot_wf,  not_wf,  iff_weakening_uiff,  eqff_to_assert,  assert_of_bnot,  es-E_wf,  event-ordering+_subtype,  event-ordering+_wf,  rec_select_update_lemma,  subtype_rel_self,  es-base-E_wf
\mforall{}[Info:Type].  \mforall{}[es:EO+(Info)].  \mforall{}[P:E  {}\mrightarrow{}  \mBbbB{}].    (eo-restrict(es;P)  \mmember{}  EO+(Info))



Date html generated: 2015_07_17-PM-00_01_08
Last ObjectModification: 2015_01_28-AM-00_35_43

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