Nuprl Lemma : es-before-is-nil-if-first

∀[es:EO]. ∀[e:E].  before(e) ~ [] supposing ↑first(e)


Proof




Definitions occuring in Statement :  es-before: before(e),  es-first: first(e),  es-E: E,  event_ordering: EO,  nil: [],  assert: ↑b,  uimplies: b supposing a,  uall: ∀[x:A]. B[x],  sqequal: s ~ t
Lemmas :  bool_wf,  eqtt_to_assert,  eqff_to_assert,  equal_wf,  bool_cases_sqequal,  subtype_base_sq,  bool_subtype_base,  assert_wf,  es-first_wf2,  es-E_wf,  event_ordering_wf
\mforall{}[es:EO].  \mforall{}[e:E].    before(e)  \msim{}  []  supposing  \muparrow{}first(e)



Date html generated: 2015_07_17-AM-08_44_30
Last ObjectModification: 2015_01_27-PM-02_28_33

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