{ 
[es:EO]. [i:Id]. [e':E]. [P,R:{e:E| loc(e) = i} 
].
(es-first-at-since(es;i;e';e.R[e];e.P[e]) 
) }
{ Proof }
Definitions occuring in Statement :
es-first-at-since: es-first-at-since(es;i;e;e.R[e];e.P[e]),
es-loc: loc(e),
es-E: E,
event_ordering: EO,
Id: Id,
uall: [x:A]. B[x],
prop: ,
so_apply: x[s],
member: t T,
set: {x:A| B[x]} ,
function: x:A B[x],
equal: s = t
Definitions :
uall: [x:A]. B[x],
prop: ,
member: t T,
es-first-at-since: es-first-at-since(es;i;e;e.R[e];e.P[e]),
and: P 
Q,
so_apply: x[s],
implies: P 
Q,
exists: 
x:A. B[x],
cand: A c B,
so_lambda: 
x.t[x],
uimplies: b supposing a
Lemmas :
es-E_wf,
Id_wf,
es-loc_wf,
event_ordering_wf,
not_wf,
alle-lt_wf,
es-le_wf,
es-locl_wf,
es-le-loc
\mforall{}[es:EO]. \mforall{}[i:Id]. \mforall{}[e':E]. \mforall{}[P,R:\{e:E| loc(e) = i\} {}\mrightarrow{} \mBbbP{}].
(es-first-at-since(es;i;e';e.R[e];e.P[e]) \mmember{} \mBbbP{})
Date html generated:
2011_08_16-AM-10_51_02
Last ObjectModification:
2011_06_18-AM-09_26_07
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