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
Definitions unfolded in proof :
uall: ∀[x:A]. B[x],
member: t ∈ T,
delivered-with-headers: delivered-with-headers(hdrs;es;e),
subtype_rel: A ⊆r B,
all: ∀x:A. B[x],
so_lambda: λ2x.t[x],
so_apply: x[s],
uimplies: b supposing a,
pi2: snd(t),
prop: ℙ,
iff: P ⇐⇒ Q,
and: P ∧ Q,
implies: P ⇒ Q,
msg-header: msg-header(m),
pi1: fst(t),
msg-msg: msg-msg(m),
es-info: info(e),
record-select: r.x,
es-header: header(e)
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:
2016_05_17-AM-08_55_21
Last ObjectModification:
2015_12_29-PM-02_54_03
Theory : messages
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