Nuprl Lemma : has-es-info-type-subtype
∀[T,U:Type]. ∀[f:Name ─→ Type]. ∀[es:EO+(Message(f))]. ∀[e:E].
(has-es-info-type(es;e;f;T)) supposing (has-es-info-type(es;e;f;U) and (U ⊆r T))
Proof
Definitions occuring in Statement :
has-es-info-type: has-es-info-type(es;e;f;T),
Message: Message(f),
event-ordering+: EO+(Info),
es-E: E,
name: Name,
uimplies: b supposing a,
subtype_rel: A ⊆r B,
uall: ∀[x:A]. B[x],
function: x:A ─→ B[x],
universe: Type
Lemmas :
subtype_rel_transitivity,
es-info-type_wf,
subtype_rel_wf,
es-E_wf,
event-ordering+_subtype,
Message_wf,
event-ordering+_wf,
name_wf
Latex:
\mforall{}[T,U:Type]. \mforall{}[f:Name {}\mrightarrow{} Type]. \mforall{}[es:EO+(Message(f))]. \mforall{}[e:E].
(has-es-info-type(es;e;f;T)) supposing (has-es-info-type(es;e;f;U) and (U \msubseteq{}r T))
Date html generated:
2015_07_21-PM-04_48_39
Last ObjectModification:
2015_01_28-AM-08_46_20
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