Nuprl Lemma : prior-val-all-events

∀[Info:Type]. ∀[es:EO+(Info)]. ∀[e:E].  prior(E)(e) = pred(e) ∈ E supposing ¬↑first(e)


Proof




Definitions occuring in Statement :  es-prior-interface: prior(X),  es-all-events: E,  eclass-val: X(e),  event-ordering+: EO+(Info),  es-first: first(e),  es-pred: pred(e),  es-E: E,  assert: ↑b,  uimplies: b supposing a,  uall: ∀[x:A]. B[x],  not: ¬A,  universe: Type,  equal: s = t ∈ T
Lemmas :  bag_size_single_lemma,  bool_wf,  eqtt_to_assert,  eqff_to_assert,  equal_wf,  bool_cases_sqequal,  subtype_base_sq,  bool_subtype_base,  assert-bnot,  bag_only_single_lemma,  es-pred_wf,  not_wf,  assert_wf,  es-first_wf2,  event-ordering+_subtype,  es-E_wf,  event-ordering+_wf

Latex:
\mforall{}[Info:Type].  \mforall{}[es:EO+(Info)].  \mforall{}[e:E].    prior(E)(e)  =  pred(e)  supposing  \mneg{}\muparrow{}first(e)



Date html generated: 2015_07_21-PM-03_25_13
Last ObjectModification: 2015_01_27-PM-06_43_06

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