{ 
es:EO. e1:E. e2:{e:E| loc(e) = loc(e1)} .
[P,Q:{e:E| loc(e) = loc(e1)} 
].
((e:{e:E| loc(e) = loc(e1)} . (P[e] 
Q[e]))
(e
[e1,e2).P[e] e[e1,e2).Q[e])) }
{ Proof }
Definitions occuring in Statement :
alle-between1: e[e1,e2).P[e],
es-loc: loc(e),
es-E: E,
event_ordering: EO,
Id: Id,
uall: [x:A]. B[x],
prop: ,
so_apply: x[s],
all: x:A. B[x],
iff: P Q,
implies: P Q,
set: {x:A| B[x]} ,
function: x:A B[x],
equal: s = t
Definitions :
all: x:A. B[x],
uall: [x:A]. B[x],
prop: ,
implies: P Q,
iff: P Q,
so_apply: x[s],
alle-between1: e[e1,e2).P[e],
and: P 
Q,
rev_implies: P Q,
member: t T,
uimplies: b supposing a,
guard: {T}
Lemmas :
Id_wf,
es-loc_wf,
es-locl_wf,
es-le_wf,
es-E_wf,
iff_wf,
event_ordering_wf,
es-le-loc
\mforall{}es:EO. \mforall{}e1:E. \mforall{}e2:\{e:E| loc(e) = loc(e1)\} .
\mforall{}[P,Q:\{e:E| loc(e) = loc(e1)\} {}\mrightarrow{} \mBbbP{}].
((\mforall{}e:\{e:E| loc(e) = loc(e1)\} . (P[e] \mLeftarrow{}{}\mRightarrow{} Q[e])) {}\mRightarrow{} (\mforall{}e\mmember{}[e1,e2).P[e] \mLeftarrow{}{}\mRightarrow{} \mforall{}e\mmember{}[e1,e2).Q[e]))
Date html generated:
2011_08_16-AM-10_46_46
Last ObjectModification:
2011_06_18-AM-09_22_03
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