Nuprl Lemma : on-loc-classrel
∀[Info,T:Type]. ∀[X:Id ─→ EClass(T)]. ∀[es:EO+(Info)]. ∀[e:E]. ∀[v:T]. (v ∈ on-loc-class(X)(e) ⇐⇒ v ∈ X loc(e)(e))
Proof
Definitions occuring in Statement :
on-loc-class: on-loc-class(X),
classrel: v ∈ X(e),
eclass: EClass(A[eo; e]),
event-ordering+: EO+(Info),
es-loc: loc(e),
es-E: E,
Id: Id,
uall: ∀[x:A]. B[x],
iff: P ⇐⇒ Q,
apply: f a,
function: x:A ─→ B[x],
universe: Type
Lemmas :
bag-member_wf,
es-loc_wf,
eclass_wf,
es-E_wf,
event-ordering+_subtype,
classrel_wf,
on-loc-class_wf,
event-ordering+_wf,
Id_wf
Latex:
\mforall{}[Info,T:Type]. \mforall{}[X:Id {}\mrightarrow{} EClass(T)]. \mforall{}[es:EO+(Info)]. \mforall{}[e:E]. \mforall{}[v:T].
(v \mmember{} on-loc-class(X)(e) \mLeftarrow{}{}\mRightarrow{} v \mmember{} X loc(e)(e))
Date html generated:
2015_07_22-PM-00_08_28
Last ObjectModification:
2015_01_28-AM-11_41_36
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