{ 
[Info,A:Type]. [I:EClass(A)]. [P:es:EO+(Info) 
E 
].
[p:es:EO+(Info). e:E. Dec(P[es;e])]. [es:EO+(Info)]. [e:E].
(I|p)(e) ~ I(e) supposing 
e 
(I|p) }
{ Proof }
Definitions occuring in Statement :
es-interface-restrict: (I|p),
eclass-val: X(e),
in-eclass: e X,
eclass: EClass(A[eo; e]),
event-ordering+: EO+(Info),
es-E: E,
assert: b,
decidable: Dec(P),
uimplies: b supposing a,
uall: [x:A]. B[x],
prop: ,
so_apply: x[s1;s2],
all: x:A. B[x],
function: x:A B[x],
universe: Type,
sqequal: s ~ t
Definitions :
eclass: EClass(A[eo; e]),
prop: ,
all: x:A. B[x],
so_apply: x[s1;s2],
assert: b,
in-eclass: e X,
es-interface-restrict: (I|p),
eclass-val: X(e),
implies: P 
Q,
can-apply: can-apply(f;x),
p-restrict: p-restrict(f;p),
do-apply: do-apply(f;x),
isl: isl(x),
p-compose: f o g,
p-filter: p-filter(f),
outl: outl(x),
ifthenelse: if b then t else f fi ,
member: t T,
btrue: tt,
bfalse: ff,
so_lambda: 
x y.t[x; y],
decidable: Dec(P),
uall: [x:A]. B[x],
or: P 
Q,
false: False,
subtype: S 
T
Lemmas :
decidable_wf,
assert_wf,
isl_wf,
false_wf,
in-eclass_wf,
es-interface-restrict_wf,
top_wf,
es-interface-top,
es-E_wf,
event-ordering+_inc,
event-ordering+_wf,
eclass_wf
\mforall{}[Info,A:Type]. \mforall{}[I:EClass(A)]. \mforall{}[P:es:EO+(Info) {}\mrightarrow{} E {}\mrightarrow{} \mBbbP{}].
\mforall{}[p:\mforall{}es:EO+(Info). \mforall{}e:E. Dec(P[es;e])]. \mforall{}[es:EO+(Info)]. \mforall{}[e:E].
(I|p)(e) \msim{} I(e) supposing \muparrow{}e \mmember{}\msubb{} (I|p)
Date html generated:
2011_08_16-PM-04_26_42
Last ObjectModification:
2011_06_20-AM-00_50_59
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