{ es:EO. i:Id.
    [P:{e:E| loc(e) = i}   ]
      (e@i.P[e]  e@i.P[pred(e)] supposing first(e)) }

{ Proof }



Definitions occuring in Statement :  alle-at: e@i.P[e] es-pred: pred(e) es-first: first(e) es-loc: loc(e) es-E: E event_ordering: EO Id: Id assert: b uimplies: b supposing a uall: [x:A]. B[x] prop: so_apply: x[s] all: x:A. B[x] not: A 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 alle-at: e@i.P[e] so_apply: x[s] uimplies: b supposing a not: A member: t  T false: False so_lambda: x.t[x] and: P  Q guard: {T}
Lemmas :  assert_wf es-first_wf not_wf es-loc_wf alle-at_wf es-E_wf Id_wf event_ordering_wf es-pred_wf es-loc-pred

\mforall{}es:EO.  \mforall{}i:Id.    \mforall{}[P:\{e:E|  loc(e)  =  i\}    {}\mrightarrow{}  \mBbbP{}].  (\mforall{}e@i.P[e]  {}\mRightarrow{}  \mforall{}e@i.P[pred(e)]  supposing  \mneg{}\muparrow{}first(e))


Date html generated: 2011_08_16-AM-10_44_47
Last ObjectModification: 2011_06_18-AM-09_20_30

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