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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