Nuprl Lemma : local-simulation-event_wf
∀[f:Name ─→ Type]. ∀[Info:Type]. ∀[es:EO+(Message(f))]. ∀[hdr:Name]. ∀[locs:bag(Id)].
∀[e:E]. local-simulation-event(es;e;hdr;locs) ∈ E 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,
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],
member: t ∈ T,
function: x:A ─→ B[x],
product: x:A × B[x],
universe: Type,
bag: bag(T)
Lemmas :
global-eo-E,
map_append_sq,
mapfilter_wf,
append_wf,
map_wf,
es-info_wf,
es-before_wf,
cons_wf,
nil_wf,
has-header-and-in-locs_wf,
top_wf,
assert_wf,
Message_wf,
subtype_rel_product,
Id_wf,
subtype_rel_transitivity,
es-E_wf,
event-ordering+_subtype,
encodes-msg-type_wf,
bag_wf,
name_wf,
event-ordering+_wf,
map_cons_lemma,
map_nil_lemma,
filter_cons_lemma,
filter_nil_lemma,
length_wf,
filter_wf5,
l_member_wf,
zero-le-nat,
length_wf_nat,
bool_wf,
eqtt_to_assert,
length_of_cons_lemma,
length_of_nil_lemma,
decidable__lt,
false_wf,
condition-implies-le,
minus-add,
minus-one-mul,
add-swap,
add-mul-special,
zero-mul,
add-zero,
add-associates,
add-commutes,
le-add-cancel,
eqff_to_assert,
equal_wf,
bool_cases_sqequal,
subtype_base_sq,
bool_subtype_base,
lelt_wf,
length-mapfilter,
filter_append_sq,
length-append
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-event(es;e;hdr;locs) \mmember{} E supposing \muparrow{}has-header-and-in-locs(info(e);hdr;locs)
supposing hdr encodes Id \mtimes{} Info
Date html generated:
2015_07_21-PM-04_50_31
Last ObjectModification:
2015_01_28-AM-08_44_55
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