{ 
es:EO. e1,e2,b:E.
[Q,P:{e:E| loc(e) = loc(e1)} 
{e:E| loc(e) = loc(e1)} 
].
((e1 <loc b)
b 
loc e2
[e1;pred(b)]~([a,b].P[a;b])*[a,b].P[a;b]
[b;e2]~([a,b].P[a;b])*[a,b].Q[a;b]
[e1;e2]~([a,b].P[a;b])*[a,b].Q[a;b]) }
{ Proof }
Definitions occuring in Statement :
es-pstar-q: [e1;e2]~([a,b].p[a; b])*[a,b].q[a; b],
es-le: e loc e' ,
es-locl: (e <loc e'),
es-pred: pred(e),
es-loc: loc(e),
es-E: E,
event_ordering: EO,
Id: Id,
uall: [x:A]. B[x],
prop: ,
so_apply: x[s1;s2],
all: x:A. B[x],
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,
es-pstar-q: [e1;e2]~([a,b].p[a; b])*[a,b].q[a; b],
so_apply: x[s1;s2],
exists: 
x:A. B[x],
int_seg: {i..j
},
and: P 
Q,
member: t 
T,
cand: A c B,
lelt: i j < k,
le: A B,
not: 
A,
false: False,
so_lambda: 
x y.t[x; y],
assert: 
b,
bfalse: ff,
ifthenelse: if b then t else f fi ,
btrue: tt,
squash: 
T,
true: True,
rev_implies: P 
Q,
iff: P Q,
es-locl: (e <loc e'),
nat_plus: 
,
uimplies: b supposing a,
sq_type: SQType(T),
guard: {T},
bool: 
,
unit: Unit,
it: 
Lemmas :
int_seg_wf,
le_wf,
es-le_wf,
es-locl_wf,
Id_wf,
es-loc_wf,
es-pstar-q_wf,
es-E_wf,
es-pred_wf,
subtype_base_sq,
bool_subtype_base,
false_wf,
event_ordering_wf,
es-le-loc,
es-locl-first,
es-loc-pred,
bool_wf,
lt_int_wf,
assert_wf,
le_int_wf,
bnot_wf,
iff_weakening_uiff,
uiff_transitivity,
eqtt_to_assert,
assert_of_lt_int,
eqff_to_assert,
assert_functionality_wrt_uiff,
bnot_of_lt_int,
assert_of_le_int,
int_subtype_base,
nat_plus_properties,
int_seg_properties,
es-le-trans2,
es-pred-locl,
member_wf,
es-first_wf,
squash_wf,
not_wf
\mforall{}es:EO. \mforall{}e1,e2,b:E.
\mforall{}[Q,P:\{e:E| loc(e) = loc(e1)\} {}\mrightarrow{} \{e:E| loc(e) = loc(e1)\} {}\mrightarrow{} \mBbbP{}].
((e1 <loc b)
{}\mRightarrow{} b \mleq{}loc e2
{}\mRightarrow{} [e1;pred(b)]\msim{}([a,b].P[a;b])*[a,b].P[a;b]
{}\mRightarrow{} [b;e2]\msim{}([a,b].P[a;b])*[a,b].Q[a;b]
{}\mRightarrow{} [e1;e2]\msim{}([a,b].P[a;b])*[a,b].Q[a;b])
Date html generated:
2011_08_16-AM-10_57_35
Last ObjectModification:
2011_06_18-AM-09_30_30
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