{ 
es:EO. e:E.
{(loc(pred(e)) = loc(e))
(pred(e) < e)
(e':E
(e' < e) 
((e' = pred(e)) 
(e' < pred(e)))
supposing loc(e') = loc(e))}
supposing 
first(e) }
{ Proof }
Definitions occuring in Statement :
es-pred: pred(e),
es-first: first(e),
es-causl: (e < e'),
es-loc: loc(e),
es-E: E,
event_ordering: EO,
Id: Id,
assert: b,
uimplies: b supposing a,
guard: {T},
all: x:A. B[x],
not: A,
implies: P Q,
or: P Q,
and: P Q,
equal: s = t
Definitions :
all: x:A. B[x],
uimplies: b supposing a,
not: A,
assert: b,
es-first: first(e),
guard: {T},
and: P Q,
es-pred: pred(e),
implies: P Q,
or: P Q,
member: t 
T,
bnot: 
b,
isl: isl(x),
outl: outl(x),
btrue: tt,
bfalse: ff,
ifthenelse: if b then t else f fi ,
true: True,
false: False,
prop: 
,
uall: [x:A]. B[x]
Lemmas :
es-pred?_property,
es-pred?_wf,
unit_wf,
false_wf,
es-causl_wf,
Id_wf,
es-loc_wf,
not_wf,
true_wf,
es-E_wf,
event_ordering_wf
\mforall{}es:EO. \mforall{}e:E.
\{(loc(pred(e)) = loc(e))
\mwedge{} (pred(e) < e)
\mwedge{} (\mforall{}e':E. (e' < e) {}\mRightarrow{} ((e' = pred(e)) \mvee{} (e' < pred(e))) supposing loc(e') = loc(e))\}
supposing \mneg{}\muparrow{}first(e)
Date html generated:
2011_08_16-AM-10_25_28
Last ObjectModification:
2011_06_18-AM-09_09_46
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