Nuprl Lemma : local-simulation-E-subtype
∀[f:Name ─→ Type]. ∀[Info:Type]. ∀[es:EO+(Message(f))]. ∀[hdr:Name]. ∀[locs:bag(Id)].
∀[e1,e2:E]. (e1 ≤loc e2 ⇒ (E ⊆r E)) supposing hdr encodes Id × Info
Proof
Definitions occuring in Statement :
local-simulation-eo: local-simulation-eo(es;e;hdr;locs),
encodes-msg-type: hdr encodes T,
Message: Message(f),
event-ordering+: EO+(Info),
es-le: e ≤loc e' ,
es-E: E,
Id: Id,
name: Name,
uimplies: b supposing a,
subtype_rel: A ⊆r B,
uall: ∀[x:A]. B[x],
implies: P ⇒ Q,
function: x:A ─→ B[x],
product: x:A × B[x],
universe: Type,
bag: bag(T)
Lemmas :
local-simulation-eo_wf,
global-eo-E-sq,
true_wf,
es-E_wf,
event-ordering+_subtype,
es-le_wf,
Message_wf,
encodes-msg-type_wf,
Id_wf,
bag_wf,
name_wf,
event-ordering+_wf,
local-simulation-inputs_wf,
iseg_length,
subtype_rel_list,
bag-member_wf,
subtype_rel_product,
set_wf,
iseg-local-simulation-inputs,
less_than_transitivity1,
length_wf,
lelt_wf
Latex:
\mforall{}[f:Name {}\mrightarrow{} Type]. \mforall{}[Info:Type]. \mforall{}[es:EO+(Message(f))]. \mforall{}[hdr:Name]. \mforall{}[locs:bag(Id)].
\mforall{}[e1,e2:E]. (e1 \mleq{}loc e2 {}\mRightarrow{} (E \msubseteq{}r E)) supposing hdr encodes Id \mtimes{} Info
Date html generated:
2015_07_21-PM-04_50_25
Last ObjectModification:
2015_01_28-AM-08_44_50
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