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
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)
Lemmas :
eclass_wf,
es-E_wf,
event-ordering+_subtype,
event-ordering+_wf,
bag_wf,
top_wf,
es-E-interface_wf,
es-filter-image_wf,
es-is-filter-image,
assert_wf,
in-eclass_wf,
es-interface-subtype_rel2
\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:
2015_07_17-PM-01_07_03
Last ObjectModification:
2015_01_27-PM-10_34_08
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