{ 
es:EO. e':E.
[P:{e:E| loc(e) = loc(e')} 
]
(e@loc(e').Dec(P[e]) 
(
e<e'.P[e] 
e<e'.P[e])) }
{ Proof }
Definitions occuring in Statement :
alle-lt: e<e'.P[e],
existse-before: e<e'.P[e],
alle-at: e@i.P[e],
es-loc: loc(e),
es-E: E,
event_ordering: EO,
Id: Id,
decidable: Dec(P),
uall: [x:A]. B[x],
prop: ,
so_apply: x[s],
all: x:A. B[x],
iff: P Q,
not: A,
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,
so_apply: x[s],
iff: P Q,
not: A,
and: P 
Q,
rev_implies: P Q,
member: t 
T,
false: False,
so_lambda: 
x.t[x],
alle-at: e@i.P[e],
alle-lt: e<e'.P[e],
existse-before: e<e'.P[e],
exists: x:A. B[x],
cand: A c B,
decidable: Dec(P),
or: P 
Q,
es-locl: (e <loc e')
Lemmas :
alle-lt_wf,
es-E_wf,
Id_wf,
es-loc_wf,
not_wf,
existse-before_wf,
alle-at_wf,
decidable_wf,
event_ordering_wf,
decidable__existse-before,
decidable__not,
es-locl_wf
\mforall{}es:EO. \mforall{}e':E.
\mforall{}[P:\{e:E| loc(e) = loc(e')\} {}\mrightarrow{} \mBbbP{}]. (\mforall{}e@loc(e').Dec(P[e]) {}\mRightarrow{} (\mneg{}\mforall{}e<e'.P[e] \mLeftarrow{}{}\mRightarrow{} \mexists{}e<e'.\mneg{}P[e]))
Date html generated:
2011_08_16-AM-10_45_58
Last ObjectModification:
2011_06_18-AM-09_21_26
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