Nuprl Lemma : has-es-info-type-is-msg-has-type
∀[f:Name ⟶ Type]. ∀[es:EO+(Message(f))]. ∀[e:E]. ∀[T:Type]. (has-es-info-type(es;e;f;T) ~ msg-has-type(info(e);f;T))
Proof
Definitions occuring in Statement :
has-es-info-type: has-es-info-type(es;e;f;T),
msg-has-type: msg-has-type(m;f;T),
Message: Message(f),
es-info: info(e),
event-ordering+: EO+(Info),
es-E: E,
name: Name,
uall: ∀[x:A]. B[x],
function: x:A ⟶ B[x],
universe: Type,
sqequal: s ~ t
Definitions unfolded in proof :
uall: ∀[x:A]. B[x],
member: t ∈ T,
msg-has-type: msg-has-type(m;f;T),
has-es-info-type: has-es-info-type(es;e;f;T),
es-info-type: es-info-type(es;e;f),
subtype_rel: A ⊆r B
Latex:
\mforall{}[f:Name {}\mrightarrow{} Type]. \mforall{}[es:EO+(Message(f))]. \mforall{}[e:E]. \mforall{}[T:Type].
(has-es-info-type(es;e;f;T) \msim{} msg-has-type(info(e);f;T))
Date html generated:
2016_05_17-AM-08_51_11
Last ObjectModification:
2015_12_29-PM-02_56_38
Theory : messages
Home
Index