{ 
[Info:Type]
es:EO+(Info). e:E. P:{e':E| (e' <loc e)} 
.
((
can-apply(last(P);e) 
a:E. ((a <loc e) 
((P a))))
(do-apply(last(P);e) <loc e)
((P do-apply(last(P);e)))
(e'':E
((e'' <loc e) (do-apply(last(P);e) <loc e'') (
(P e''))))
supposing can-apply(last(P);e)) }
{ Proof }
Definitions occuring in Statement :
es-local-pred: last(P),
event-ordering+: EO+(Info),
es-locl: (e <loc e'),
es-E: E,
assert: b,
bool: ,
uimplies: b supposing a,
uall: [x:A]. B[x],
all: x:A. B[x],
exists: x:A. B[x],
iff: P Q,
not: A,
implies: P Q,
and: P Q,
set: {x:A| B[x]} ,
apply: f a,
function: x:A B[x],
universe: Type,
do-apply: do-apply(f;x),
can-apply: can-apply(f;x)
Definitions :
uall: [x:A]. B[x],
all: x:A. B[x],
can-apply: can-apply(f;x),
do-apply: do-apply(f;x),
member: t 
T,
or: P 
Q,
sq_exists: x:{A| B[x]},
and: P Q,
assert: b,
implies: P Q,
not: A,
iff: P Q,
isl: isl(x),
exists: x:A. B[x],
uimplies: b supposing a,
outl: outl(x),
cand: A c B,
prop: 
,
btrue: tt,
bfalse: ff,
ifthenelse: if b then t else f fi ,
true: True,
false: False,
rev_implies: P Q,
squash: 
T,
sq_type: SQType(T),
guard: {T},
sq_stable: SqStable(P),
subtype: S 
T
Lemmas :
es-local-pred_wf2,
es-E_wf,
event-ordering+_inc,
es-locl_wf,
bool_wf,
event-ordering+_wf,
assert_wf,
not_wf,
true_wf,
subtype_base_sq,
bool_subtype_base,
assert_witness,
assert_elim,
sq_stable_from_decidable,
decidable__es-locl
\mforall{}[Info:Type]
\mforall{}es:EO+(Info). \mforall{}e:E. \mforall{}P:\{e':E| (e' <loc e)\} {}\mrightarrow{} \mBbbB{}.
((\muparrow{}can-apply(last(P);e) \mLeftarrow{}{}\mRightarrow{} \mexists{}a:E. ((a <loc e) \mwedge{} (\muparrow{}(P a))))
\mwedge{} (do-apply(last(P);e) <loc e)
\mwedge{} (\muparrow{}(P do-apply(last(P);e)))
\mwedge{} (\mforall{}e'':E. ((e'' <loc e) {}\mRightarrow{} (do-apply(last(P);e) <loc e'') {}\mRightarrow{} (\mneg{}\muparrow{}(P e''))))
supposing \muparrow{}can-apply(last(P);e))
Date html generated:
2011_08_16-PM-04_42_21
Last ObjectModification:
2011_06_20-AM-01_02_19
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