{ es:EO. e':E.
    [P:{e:E| loc(e) = loc(e')}   ]
      (e@loc(e').Dec(P[e])  Dec(ee'.P[e])) }

{ Proof }



Definitions occuring in Statement :  existse-le: ee'.P[e] alle-at: e@i.P[e] es-loc: loc(e) es-E: E event_ordering: EO Id: Id decidable: Dec(P) uall: [x:A]. B[x] prop: so_apply: x[s] all: x:A. B[x] implies: P  Q set: {x:A| B[x]}  function: x:A  B[x] equal: s = t
Definitions :  all: x:A. B[x] uall: [x:A]. B[x] prop: implies: P  Q so_apply: x[s] or: P  Q member: t  T so_lambda: x.t[x] rev_implies: P  Q iff: P  Q and: P  Q alle-at: e@i.P[e] guard: {T}
Lemmas :  decidable_functionality existse-le_wf Id_wf es-loc_wf existse-before_wf existse-le-iff alle-at_wf decidable_wf es-E_wf event_ordering_wf decidable__or decidable__existse-before

\mforall{}es:EO.  \mforall{}e':E.    \mforall{}[P:\{e:E|  loc(e)  =  loc(e')\}    {}\mrightarrow{}  \mBbbP{}].  (\mforall{}e@loc(e').Dec(P[e])  {}\mRightarrow{}  Dec(\mexists{}e\mleq{}e'.P[e]))


Date html generated: 2011_08_16-AM-10_45_35
Last ObjectModification: 2011_06_18-AM-09_21_06

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