{ 
[es:EO]. [e1:E]. [e2:{e:E| loc(e) = loc(e1)} ].
[p:{e:E| loc(e) = loc(e1)} 
].
(e2 = first e 
e1.p[e] 
) }
{ Proof }
Definitions occuring in Statement :
es-first-since: e2 = first e e1.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-since: e2 = first e e1.P[e],
so_apply: x[s],
and: P 
Q,
alle-between1: e[e1,e2).P[e],
cand: A c B,
all: x:A. B[x],
implies: P 
Q,
uimplies: b supposing a
Lemmas :
es-le_wf,
es-locl_wf,
not_wf,
Id_wf,
es-loc_wf,
es-E_wf,
event_ordering_wf,
es-le-loc
\mforall{}[es:EO]. \mforall{}[e1:E]. \mforall{}[e2:\{e:E| loc(e) = loc(e1)\} ]. \mforall{}[p:\{e:E| loc(e) = loc(e1)\} {}\mrightarrow{} \mBbbP{}].
(e2 = first e \mgeq{} e1.p[e] \mmember{} \mBbbP{})
Date html generated:
2011_08_16-AM-10_56_18
Last ObjectModification:
2011_06_18-AM-09_29_31
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