Nuprl Lemma : delivered-with-headers_wf
∀[f:Name ─→ Type]. ∀[es:EO+(Message(f))]. ∀[e:E]. ∀[hdrs:Name List].
(delivered-with-headers(hdrs;es;e) ∈ {im:Id × Message(f)| (msg-header(snd(im)) ∈ hdrs)} List)
Proof
Definitions occuring in Statement :
delivered-with-headers: delivered-with-headers(hdrs;es;e),
msg-header: msg-header(m),
Message: Message(f),
event-ordering+: EO+(Info),
es-E: E,
Id: Id,
name: Name,
l_member: (x ∈ l),
list: T List,
uall: ∀[x:A]. B[x],
pi2: snd(t),
member: t ∈ T,
set: {x:A| B[x]} ,
function: x:A ─→ B[x],
product: x:A × B[x],
universe: Type
Lemmas :
mapfilter_wf,
Id_wf,
es-loc_wf,
es-le-before_wf,
deq-member_wf,
name-deq_wf,
es-header_wf,
subtype_rel_dep_function,
name_wf,
l_member_wf,
msg-header_wf,
assert_wf,
set_wf,
assert-deq-member,
list_wf,
es-E_wf,
event-ordering+_subtype,
Message_wf,
event-ordering+_wf
Latex:
\mforall{}[f:Name {}\mrightarrow{} Type]. \mforall{}[es:EO+(Message(f))]. \mforall{}[e:E]. \mforall{}[hdrs:Name List].
(delivered-with-headers(hdrs;es;e) \mmember{} \{im:Id \mtimes{} Message(f)| (msg-header(snd(im)) \mmember{} hdrs)\} List)
Date html generated:
2015_07_21-PM-04_51_20
Last ObjectModification:
2015_01_28-AM-08_43_43
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