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)
Definitions unfolded in proof :
class-output-support: class-output-support(es;bg),
class-output: class-output(X;es;bg),
class-le-before: class-le-before(X;es;e),
uall: ∀[x:A]. B[x],
so_lambda: λ2x.t[x],
member: t ∈ T,
top: Top,
so_apply: x[s],
subtype_rel: A ⊆r B,
uimplies: b supposing a,
eclass: EClass(A[eo; e]),
so_lambda: λ2x y.t[x; y],
so_apply: x[s1;s2]
Latex:
\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:
2016_05_16-PM-01_29_03
Last ObjectModification:
2015_12_29-PM-02_05_31
Theory : event-ordering
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