{ 
[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((I|p)) 
r E(I)) }
{ Proof }
Definitions occuring in Statement :
es-interface-restrict: (I|p),
es-E-interface: E(X),
eclass: EClass(A[eo; e]),
event-ordering+: EO+(Info),
es-E: E,
subtype_rel: A r B,
decidable: Dec(P),
uall: [x:A]. B[x],
prop: ,
so_apply: x[s1;s2],
all: x:A. B[x],
function: x:A B[x],
universe: Type
Definitions :
prop: ,
all: x:A. B[x],
so_apply: x[s1;s2],
implies: P 
Q,
member: t 
T,
so_lambda: 
x y.t[x; y],
uall: [x:A]. B[x],
uimplies: b supposing a,
and: P 
Q,
iff: P 
Q,
cand: A c B,
subtype: S T
Lemmas :
es-E-interface_functionality,
es-interface-restrict_wf,
top_wf,
es-interface-top,
es-E_wf,
event-ordering+_inc,
event-ordering+_wf,
es-is-interface-restrict,
assert_wf,
in-eclass_wf,
decidable_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)].
(E((I|p)) \msubseteq{}r E(I))
Date html generated:
2011_08_16-PM-04_27_23
Last ObjectModification:
2011_06_20-AM-00_51_29
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