Nuprl Lemma : class-output-eq
∀[Info,T:Type]. ∀[X:EClass(T)]. ∀[es:EO+(Info)]. ∀[bg:bag(E)].
(class-output(X;es;bg) = ∪e∈class-output-support(es;bg).X es e ∈ bag(T))
Proof
Definitions occuring in Statement :
class-output-support: class-output-support(es;bg),
class-output: class-output(X;es;bg),
eclass: EClass(A[eo; e]),
event-ordering+: EO+(Info),
es-E: E,
uall: ∀[x:A]. B[x],
apply: f a,
universe: Type,
equal: s = t ∈ T,
bag-combine: ∪x∈bs.f[x],
bag: bag(T)
Lemmas :
bag-combine-assoc,
subtype_rel_bag,
top_wf,
bag-combine_wf,
es-le-before_wf,
list-subtype-bag,
Id_wf,
es-loc_wf,
bag_wf,
es-E_wf,
event-ordering+_subtype,
event-ordering+_wf,
eclass_wf
\mforall{}[Info,T:Type]. \mforall{}[X:EClass(T)]. \mforall{}[es:EO+(Info)]. \mforall{}[bg:bag(E)].
(class-output(X;es;bg) = \mcup{}e\mmember{}class-output-support(es;bg).X es e)
Date html generated:
2015_07_17-PM-00_15_11
Last ObjectModification:
2015_01_28-AM-00_02_08
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