Nuprl Lemma : es-info-type-implies
∀[f:Name ─→ Type]. ∀[T:Type]. ∀[es:EO+(Message(f))]. ∀[e:E]. (has-es-info-type(es;e;f;T) ⇒ (msgval(e) ∈ T))
Proof
Definitions occuring in Statement :
es-info-body: msgval(e),
has-es-info-type: has-es-info-type(es;e;f;T),
Message: Message(f),
event-ordering+: EO+(Info),
es-E: E,
name: Name,
uall: ∀[x:A]. B[x],
implies: P ⇒ Q,
member: t ∈ T,
function: x:A ─→ B[x],
universe: Type
Lemmas :
es-info-body_wf,
has-es-info-type_wf,
es-E_wf,
event-ordering+_subtype,
Message_wf,
event-ordering+_wf,
name_wf
Latex:
\mforall{}[f:Name {}\mrightarrow{} Type]. \mforall{}[T:Type]. \mforall{}[es:EO+(Message(f))]. \mforall{}[e:E].
(has-es-info-type(es;e;f;T) {}\mRightarrow{} (msgval(e) \mmember{} T))
Date html generated:
2015_07_21-PM-04_48_48
Last ObjectModification:
2015_01_28-AM-08_45_56
Home
Index