{ 
[es:EO]. [e,a:E].
(
loc(e) = (loc(pred(a)) @ [a, e])) supposing ((
first(a)) and a loc e ) \000C}
{ Proof }
Definitions occuring in Statement :
es-interval: [e, e'],
es-le-before: loc(e),
es-le: e loc e' ,
es-pred: pred(e),
es-first: first(e),
es-E: E,
event_ordering: EO,
append: as @ bs,
assert: b,
uimplies: b supposing a,
uall: [x:A]. B[x],
not: A,
list: type List,
equal: s = t
Definitions :
uall: [x:A]. B[x],
uimplies: b supposing a,
member: t 
T,
top: Top,
all: x:A. B[x],
subtype: S 
T,
squash: 
T,
true: True,
prop: 
,
es-before: before(e),
ycomb: Y,
ifthenelse: if b then t else f fi ,
implies: P 
Q,
btrue: tt,
bfalse: ff,
not: A,
false: False,
bool: 
,
unit: Unit,
iff: P 
Q,
and: P 
Q,
it: 
,
es-le-before: loc(e)
Lemmas :
es-le-before-partition,
length_wf_nat,
es-le-before_wf,
top_wf,
es-E_wf,
Id_wf,
es-loc_wf,
nat_wf,
append_wf,
squash_wf,
true_wf,
es-interval_wf,
es-pred_wf,
member_wf,
not_wf,
assert_wf,
es-first_wf,
es-le_wf,
event_ordering_wf,
bool_wf,
bnot_wf,
iff_weakening_uiff,
eqtt_to_assert,
uiff_transitivity,
eqff_to_assert,
assert_of_bnot
\mforall{}[es:EO]. \mforall{}[e,a:E]. (\mleq{}loc(e) = (\mleq{}loc(pred(a)) @ [a, e])) supposing ((\mneg{}\muparrow{}first(a)) and a \mleq{}loc e )
Date html generated:
2011_08_16-AM-10_41_49
Last ObjectModification:
2011_06_18-AM-09_19_30
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