Nuprl Lemma : local-simulation-event-info
∀[f:Name ⟶ Type]. ∀[Info:Type]. ∀[es:EO+(Message(f))]. ∀[hdr:Name]. ∀[locs:bag(Id)].
  ∀[e:E]
    info(local-simulation-event(es;e;hdr;locs)) = (snd(msg-body(info(e)))) ∈ Info 
    supposing ↑has-header-and-in-locs(info(e);hdr;locs) 
  supposing hdr encodes Id × Info
Proof
Definitions occuring in Statement : 
local-simulation-event: local-simulation-event(es;e;hdr;locs)
, 
local-simulation-eo: local-simulation-eo(es;e;hdr;locs)
, 
has-header-and-in-locs: has-header-and-in-locs(msg;hdr;locs)
, 
encodes-msg-type: hdr encodes T
, 
msg-body: msg-body(msg)
, 
Message: Message(f)
, 
es-info: info(e)
, 
event-ordering+: EO+(Info)
, 
es-E: E
, 
Id: Id
, 
name: Name
, 
assert: ↑b
, 
uimplies: b supposing a
, 
uall: ∀[x:A]. B[x]
, 
pi2: snd(t)
, 
function: x:A ⟶ B[x]
, 
product: x:A × B[x]
, 
universe: Type
, 
equal: s = t ∈ T
, 
bag: bag(T)
Definitions unfolded in proof : 
uall: ∀[x:A]. B[x]
, 
member: t ∈ T
, 
uimplies: b supposing a
, 
local-simulation-eo: local-simulation-eo(es;e;hdr;locs)
, 
top: Top
, 
local-simulation-inputs: local-simulation-inputs(es;e;hdr;locs)
, 
local-simulation-event: local-simulation-event(es;e;hdr;locs)
, 
mapfilter: mapfilter(f;P;L)
, 
es-le-before: ≤loc(e)
, 
subtype_rel: A ⊆r B
, 
encodes-msg-type: hdr encodes T
, 
all: ∀x:A. B[x]
, 
prop: ℙ
, 
implies: P 
⇒ Q
, 
bool: 𝔹
, 
unit: Unit
, 
it: ⋅
, 
btrue: tt
, 
uiff: uiff(P;Q)
, 
and: P ∧ Q
, 
ifthenelse: if b then t else f fi 
, 
bfalse: ff
, 
bnot: ¬bb
, 
not: ¬A
, 
false: False
, 
exists: ∃x:A. B[x]
, 
or: P ∨ Q
, 
sq_type: SQType(T)
, 
guard: {T}
, 
assert: ↑b
, 
so_lambda: λ2x.t[x]
, 
so_apply: x[s]
, 
less_than: a < b
, 
squash: ↓T
, 
satisfiable_int_formula: satisfiable_int_formula(fmla)
, 
decidable: Dec(P)
, 
select: L[n]
, 
cons: [a / b]
, 
iff: P 
⇐⇒ Q
, 
msg-type: msg-type(msg;f)
, 
rev_implies: P 
⇐ Q
Latex:
\mforall{}[f:Name  {}\mrightarrow{}  Type].  \mforall{}[Info:Type].  \mforall{}[es:EO+(Message(f))].  \mforall{}[hdr:Name].  \mforall{}[locs:bag(Id)].
    \mforall{}[e:E]
        info(local-simulation-event(es;e;hdr;locs))  =  (snd(msg-body(info(e)))) 
        supposing  \muparrow{}has-header-and-in-locs(info(e);hdr;locs) 
    supposing  hdr  encodes  Id  \mtimes{}  Info
Date html generated:
2016_05_17-AM-08_53_53
Last ObjectModification:
2016_01_17-PM-08_33_18
Theory : messages
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