{ Info:Type. es:EO+(Info). b:E. e:{e:E| b loc e } .
    [P:{e':E| b loc e'   (e' <loc e)}   ]
      (e'<e.P[e']  e':E. (b loc e'   (e' <loc e)  P[e'])) }

{ Proof }



Definitions occuring in Statement :  eo-forward: eo.e event-ordering+: EO+(Info) alle-lt: e<e'.P[e] es-le: e loc e'  es-locl: (e <loc e') es-E: E uall: [x:A]. B[x] prop: so_apply: x[s] all: x:A. B[x] iff: P  Q implies: P  Q and: P  Q set: {x:A| B[x]}  function: x:A  B[x] universe: Type
Lemmas :  member_wf es-E_wf es-le_wf es-locl_wf Id_wf es-causl_wf subtype_rel_wf eo-forward_wf event-ordering+_wf event-ordering+_inc member-eo-forward-E es-loc_wf eo-forward-locl es-base-E_wf subtype_rel_self eo-forward-E-subtype sq_stable__and sq_stable_from_decidable decidable__es-le decidable__es-locl es-causle-le eo-forward-E-member es-le-loc es-loc-pred assert_wf not_wf false_wf es-locl-iff bool_wf subtype_base_sq bool_subtype_base es-locl-first all_functionality_wrt_iff implies_functionality_wrt_iff iff_wf rev_implies_wf

\mforall{}Info:Type.  \mforall{}es:EO+(Info).  \mforall{}b:E.  \mforall{}e:\{e:E|  b  \mleq{}loc  e  \}  .
    \mforall{}[P:\{e':E|  b  \mleq{}loc  e'    \mwedge{}  (e'  <loc  e)\}    {}\mrightarrow{}  \mBbbP{}]
        (\mforall{}e'<e.P[e']  \mLeftarrow{}{}\mRightarrow{}  \mforall{}e':E.  (b  \mleq{}loc  e'    {}\mRightarrow{}  (e'  <loc  e)  {}\mRightarrow{}  P[e']))


Date html generated: 2011_08_16-AM-11_26_29
Last ObjectModification: 2011_08_01-AM-00_28_06

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