Nuprl Lemma : es-E-filter-image
[Info,A:Type]. [f:A 
bag(Top)]. [es:EO+(Info)]. [X:EClass(A)]. (E(f[X]) 
r E(X))
Proof not projected
Definitions occuring in Statement :
es-E-interface: E(X),
es-filter-image: f[X],
eclass: EClass(A[eo; e]),
event-ordering+: EO+(Info),
subtype_rel: A r B,
uall: [x:A]. B[x],
top: Top,
function: x:A B[x],
universe: Type,
bag: bag(T)
Definitions :
so_lambda: 
x y.t[x; y],
so_lambda: x.t[x],
implies: P 
Q,
all: x:A. B[x],
member: t 
T,
es-E-interface: E(X),
uall: [x:A]. B[x],
so_apply: x[s1;s2],
cand: A c
B,
uiff: uiff(P;Q),
and: P Q,
so_apply: x[s],
uimplies: b supposing a,
subtype: S T,
prop: 
Lemmas :
bag_wf,
event-ordering+_wf,
eclass_wf,
es-is-filter-image,
subtype_rel_self,
top_wf,
es-filter-image_wf,
in-eclass_wf,
assert_wf,
event-ordering+_inc,
es-E_wf,
subtype_rel_sets
\mforall{}[Info,A:Type]. \mforall{}[f:A {}\mrightarrow{} bag(Top)]. \mforall{}[es:EO+(Info)]. \mforall{}[X:EClass(A)]. (E(f[X]) \msubseteq{}r E(X))
Date html generated:
2012_01_23-PM-12_24_35
Last ObjectModification:
2011_12_13-PM-02_16_36
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