Nuprl Lemma : es-filter-image-val2
∀[Info:Type]. ∀[es:EO+(Info)]. ∀[A:Type]. ∀[f:A ─→ bag(Top)]. ∀[X:EClass(A)]. ∀[e:E].
f[X](e) ~ only(f X(e)) supposing ↑e ∈b f[X]
Proof
Definitions occuring in Statement :
es-filter-image: f[X],
eclass-val: X(e),
in-eclass: e ∈b X,
eclass: EClass(A[eo; e]),
event-ordering+: EO+(Info),
es-E: E,
assert: ↑b,
uimplies: b supposing a,
uall: ∀[x:A]. B[x],
top: Top,
apply: f a,
function: x:A ─→ B[x],
universe: Type,
sqequal: s ~ t,
bag-only: only(bs),
bag: bag(T)
Lemmas :
es-filter-image-val,
es-interface-subtype_rel2,
es-E_wf,
event-ordering+_subtype,
es-is-filter-image,
assert_wf,
in-eclass_wf,
es-filter-image_wf,
top_wf,
eclass_wf,
event-ordering+_wf,
bag_wf
\mforall{}[Info:Type]. \mforall{}[es:EO+(Info)]. \mforall{}[A:Type]. \mforall{}[f:A {}\mrightarrow{} bag(Top)]. \mforall{}[X:EClass(A)]. \mforall{}[e:E].
f[X](e) \msim{} only(f X(e)) supposing \muparrow{}e \mmember{}\msubb{} f[X]
Date html generated:
2015_07_17-PM-01_06_54
Last ObjectModification:
2015_01_27-PM-10_32_21
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