{ 
es:EO. e1:E. e2:{e:E| loc(e) = loc(e1)} .
[p,p':{e:E| loc(e) = loc(e1)} 
{e:E| loc(e) = loc(e1)} 
].
((a,b:{e:E| loc(e) = loc(e1)} .
((a 
[e1, e2]) 
(b [e1, e2]) {p[a;b] p'[a;b]}))
{[e1,e2]~([a,b].p[a;b])+ [e1,e2]~([a,b].p'[a;b])+}) }
{ Proof }
Definitions occuring in Statement :
es-pplus: [e1,e2]~([a,b].p[a; b])+,
es-interval: [e, e'],
es-loc: loc(e),
es-E: E,
event_ordering: EO,
Id: Id,
uall: [x:A]. B[x],
prop: ,
guard: {T},
so_apply: x[s1;s2],
all: x:A. B[x],
implies: P Q,
set: {x:A| B[x]} ,
function: x:A B[x],
equal: s = t,
l_member: (x l)
Definitions :
all: x:A. B[x],
uall: [x:A]. B[x],
prop: ,
implies: P Q,
so_apply: x[s1;s2],
es-pplus: [e1,e2]~([a,b].p[a; b])+,
member: t T
Lemmas :
es-pstar-q_functionality_wrt_implies,
es-E_wf,
Id_wf,
es-loc_wf,
l_member_wf,
es-interval_wf,
guard_wf,
event_ordering_wf
\mforall{}es:EO. \mforall{}e1:E. \mforall{}e2:\{e:E| loc(e) = loc(e1)\} .
\mforall{}[p,p':\{e:E| loc(e) = loc(e1)\} {}\mrightarrow{} \{e:E| loc(e) = loc(e1)\} {}\mrightarrow{} \mBbbP{}].
((\mforall{}a,b:\{e:E| loc(e) = loc(e1)\} . ((a \mmember{} [e1, e2]) {}\mRightarrow{} (b \mmember{} [e1, e2]) {}\mRightarrow{} \{p[a;b] {}\mRightarrow{} p'[a;b]\}))
{}\mRightarrow{} \{[e1,e2]\msim{}([a,b].p[a;b])+ {}\mRightarrow{} [e1,e2]\msim{}([a,b].p'[a;b])+\})
Date html generated:
2011_08_16-AM-10_57_46
Last ObjectModification:
2011_06_18-AM-09_30_43
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