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
Definitions unfolded in proof :
uall: ∀[x:A]. B[x],
member: t ∈ T,
implies: P ⇒ Q,
subtype_rel: A ⊆r B,
has-es-info-type: has-es-info-type(es;e;f;T)
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:
2016_05_17-AM-08_51_27
Last ObjectModification:
2015_12_29-PM-02_56_24
Theory : messages
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