Nuprl Lemma : local-simulation-inputs_wf
∀[f:Name ⟶ Type]. ∀[Info:Type]. ∀[es:EO+(Message(f))]. ∀[hdr:Name]. ∀[locs:bag(Id)].
∀[e:E]. (local-simulation-inputs(es;e;hdr;locs) ∈ ({i:Id| i ↓∈ locs} × Info) List) supposing hdr encodes Id × Info
Proof
Definitions occuring in Statement :
local-simulation-inputs: local-simulation-inputs(es;e;hdr;locs),
encodes-msg-type: hdr encodes T,
Message: Message(f),
event-ordering+: EO+(Info),
es-E: E,
Id: Id,
name: Name,
list: T List,
uimplies: b supposing a,
uall: ∀[x:A]. B[x],
member: t ∈ T,
set: {x:A| B[x]} ,
function: x:A ⟶ B[x],
product: x:A × B[x],
universe: Type,
bag-member: x ↓∈ bs,
bag: bag(T)
Definitions unfolded in proof :
uall: ∀[x:A]. B[x],
member: t ∈ T,
uimplies: b supposing a,
local-simulation-inputs: local-simulation-inputs(es;e;hdr;locs),
subtype_rel: A ⊆r B,
encodes-msg-type: hdr encodes T,
all: ∀x:A. B[x],
guard: {T},
so_lambda: λ2x.t[x],
so_apply: x[s],
top: Top,
prop: ℙ,
iff: P ⇐⇒ Q,
and: P ∧ Q,
implies: P ⇒ Q,
msg-type: msg-type(msg;f),
rev_implies: P ⇐ Q,
pi1: fst(t)
Latex:
\mforall{}[f:Name {}\mrightarrow{} Type]. \mforall{}[Info:Type]. \mforall{}[es:EO+(Message(f))]. \mforall{}[hdr:Name]. \mforall{}[locs:bag(Id)].
\mforall{}[e:E]. (local-simulation-inputs(es;e;hdr;locs) \mmember{} (\{i:Id| i \mdownarrow{}\mmember{} locs\} \mtimes{} Info) List) supposing hdr \000Cencodes Id \mtimes{} Info
Date html generated:
2016_05_17-AM-08_53_10
Last ObjectModification:
2015_12_29-PM-02_55_33
Theory : messages
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