{ 
[es:EO]. [i:Id]. [e':E]. [P:{e:E| loc(e) = i} 
].
(e' is first@ i s.t. e.P[e] 
) }
{ Proof }
Definitions occuring in Statement :
es-first-at: e is first@ i s.t. 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: e is first@ i s.t. e.P[e],
and: P 
Q,
so_apply: x[s],
alle-lt: e<e'.P[e],
all: x:A. B[x],
implies: P 
Q,
cand: A c B,
es-locl: (e <loc e')
Lemmas :
es-E_wf,
Id_wf,
es-loc_wf,
event_ordering_wf,
es-locl_wf,
not_wf
\mforall{}[es:EO]. \mforall{}[i:Id]. \mforall{}[e':E]. \mforall{}[P:\{e:E| loc(e) = i\} {}\mrightarrow{} \mBbbP{}]. (e' is first@ i s.t. e.P[e] \mmember{} \mBbbP{})
Date html generated:
2011_08_16-AM-10_50_16
Last ObjectModification:
2011_06_18-AM-09_25_30
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