{ 
[es:EO]. [i:Id]. [P:{e:E| loc(e) = i} 
]. [e1,e2:E].
(e1 = e2) supposing
(e2 is first@ i s.t. e.P[e] and
e1 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,
uimplies: b supposing a,
uall: [x:A]. B[x],
prop: ,
so_apply: x[s],
set: {x:A| B[x]} ,
function: x:A B[x],
equal: s = t
Definitions :
uall: [x:A]. B[x],
prop: ,
uimplies: b supposing a,
so_apply: x[s],
member: t 
T,
so_lambda: 
x.t[x],
es-first-at: e is first@ i s.t. e.P[e],
and: P 
Q,
all: x:A. B[x],
or: P 
Q,
alle-lt: e<e'.P[e],
not: 
A,
implies: P 
Q,
false: False
Lemmas :
es-locl-total,
es-first-at_wf,
es-E_wf,
Id_wf,
es-loc_wf,
event_ordering_wf
\mforall{}[es:EO]. \mforall{}[i:Id]. \mforall{}[P:\{e:E| loc(e) = i\} {}\mrightarrow{} \mBbbP{}]. \mforall{}[e1,e2:E].
(e1 = e2) supposing (e2 is first@ i s.t. e.P[e] and e1 is first@ i s.t. e.P[e])
Date html generated:
2011_08_16-AM-10_50_43
Last ObjectModification:
2011_06_18-AM-09_25_51
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