{ ... }
{ Proof }
Definitions occuring in Statement :
es-pstar-q: [e1;e2]~([a,b].p[a; b])*[a,b].q[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],
rev_implies: P 
Q,
implies: P 
Q,
set: {x:A| B[x]} ,
function: x:A 
B[x],
equal: s = t,
l_member: (x 
l)
Definitions :
rev_implies: P Q
Lemmas :
es-pstar-q_functionality_wrt_implies
\mforall{}es:EO. \mforall{}e1:E. \mforall{}e2:\{e:E| loc(e) = loc(e1)\} .
\mforall{}[p',q',p,q:\{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] \mLeftarrow{}{} p'[a;b]\}))
{}\mRightarrow{} (\mforall{}a,b:\{e:E| loc(e) = loc(e1)\} . ((a \mmember{} [e1, e2]) {}\mRightarrow{} (b \mmember{} [e1, e2]) {}\mRightarrow{} \{q[a;b] \mLeftarrow{}{} q'[a;b]\}))
{}\mRightarrow{} \{[e1;e2]\msim{}([a,b].p[a;b])*[a,b].q[a;b] \mLeftarrow{}{} [e1;e2]\msim{}([a,b].p'[a;b])*[a,b].q'[a;b]\})
Date html generated:
2011_08_16-AM-10_57_21
Last ObjectModification:
2011_06_18-AM-09_30_18
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