{ es:EO. e1,e2:E.
    [P:{e:E| loc(e) = loc(e1)}   ]
      e@loc(e1).Dec(P[e])  Dec(e[e1,e2].P[e]) supposing loc(e2) = loc(e1) }

{ Proof }



Definitions occuring in Statement :  alle-between2: e[e1,e2].P[e] alle-at: e@i.P[e] es-loc: loc(e) es-E: E event_ordering: EO Id: Id decidable: Dec(P) uimplies: b supposing a 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: uimplies: b supposing a implies: P  Q so_apply: x[s] alle-between2: e[e1,e2].P[e] member: t  T so_lambda: x.t[x] alle-at: e@i.P[e] decidable: Dec(P) or: P  Q not: A guard: {T} and: P  Q false: False alle-le: ee'.P[e]
Lemmas :  alle-at_wf decidable_wf es-E_wf Id_wf es-loc_wf event_ordering_wf decidable__alle-le es-le_wf decidable__implies decidable__es-le not_wf es-le-loc

\mforall{}es:EO.  \mforall{}e1,e2:E.
    \mforall{}[P:\{e:E|  loc(e)  =  loc(e1)\}    {}\mrightarrow{}  \mBbbP{}]
        \mforall{}e@loc(e1).Dec(P[e])  {}\mRightarrow{}  Dec(\mforall{}e\mmember{}[e1,e2].P[e])  supposing  loc(e2)  =  loc(e1)


Date html generated: 2011_08_16-AM-10_47_47
Last ObjectModification: 2011_06_18-AM-09_22_44

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