Nuprl Lemma : assert-es-ble-base

es:EO. e,e':es-base-E(es).  (e loc e'  (((es-dom(es) e))  (loc(e) = loc(e'))  (e < e'))  (e = e'))


Proof not projected




Definitions occuring in Statement :  es-ble: e loc e' es-causl: (e < e') es-loc: loc(e) es-dom: es-dom(es) es-base-E: es-base-E(es) event_ordering: EO Id: Id assert: b all: x:A. B[x] iff: P  Q or: P  Q and: P  Q apply: f a equal: s = t
Definitions :  member: t  T reduce: reduce(f;k;as) filter: filter(P;l) es-ble: e loc e' all: x:A. B[x] implies: P  Q rev_implies: P  Q iff: P  Q and: P  Q or: P  Q uall: [x:A]. B[x] prop:
Lemmas :  event_ordering_wf es-base-E_wf es-causl-wf-base es-pred-list-wf-base es-loc-wf-base es-eq-wf-base assert-deq-member iff_functionality_wrt_iff Id_wf equal_wf es-dom_wf assert_wf and_wf or_wf

\mforall{}es:EO.  \mforall{}e,e':es-base-E(es).
    (\muparrow{}e  \mleq{}loc  e'  \mLeftarrow{}{}\mRightarrow{}  ((\muparrow{}(es-dom(es)  e))  \mwedge{}  (loc(e)  =  loc(e'))  \mwedge{}  (e  <  e'))  \mvee{}  (e  =  e'))


Date html generated: 2012_01_23-PM-12_09_51
Last ObjectModification: 2011_12_13-AM-10_32_26

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