Nuprl Lemma : skip-first-class-is-empty-if-first

∀[Info,A:Type]. ∀[es:EO+(Info)]. ∀[e:E]. ∀[X:EClass(A)].  Skip(X) es e ~ {} supposing ↑first(e)


Proof




Definitions occuring in Statement :  skip-first-class: Skip(X),  eclass: EClass(A[eo; e]),  event-ordering+: EO+(Info),  es-first: first(e),  es-E: E,  assert: ↑b,  uimplies: b supposing a,  uall: ∀[x:A]. B[x],  apply: f a,  universe: Type,  sqequal: s ~ t,  empty-bag: {}
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,  event-ordering+_subtype,  eclass_wf,  es-E_wf,  event-ordering+_wf

Latex:
\mforall{}[Info,A:Type].  \mforall{}[es:EO+(Info)].  \mforall{}[e:E].  \mforall{}[X:EClass(A)].    Skip(X)  es  e  \msim{}  \{\}  supposing  \muparrow{}first(e)



Date html generated: 2015_07_20-PM-04_05_08
Last ObjectModification: 2015_01_27-PM-09_50_34

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