Nuprl Lemma : base-classrel
[T:Type]. [es:EO']. [e:E]. [v:T]. [hdr:Name]. [locs:bag(Id)].
uiff(v 
Base(hdr;locs;T)(e);
(es-header(es;e) = hdr)
loc(e) locs
(
msg-type(info(e)) == T)
(v = msg-body(info(e))))
Proof not projected
Definitions occuring in Statement :
base-headers-msg-val-loc: Base(hdr;locs;typ),
es-header: es-header(es;e),
msg-type: msg-type(msg),
msg-body: msg-body(msg),
Message: Message,
classrel: v X(e),
es-info: info(e),
event-ordering+: EO+(Info),
es-loc: loc(e),
es-E: E,
Id: Id,
name: Name,
assert: b,
uiff: uiff(P;Q),
uall: [x:A]. B[x],
squash: T,
and: P Q,
universe: Type,
equal: s = t,
bag-member: x bs,
bag: bag(T),
eq_term: a == b
Definitions :
msg-has-type: msg-has-type(m;T),
cand: A c B,
prop: 
,
true: True,
uimplies: b supposing a,
member: t T,
bag-member: x bs,
and: P Q,
squash: T,
base-headers-msg-val-loc: Base(hdr;locs;typ),
classrel: v X(e),
uiff: uiff(P;Q),
uall: [x:A]. B[x],
all: x:A. B[x],
rev_implies: P 
Q,
iff: P 
Q,
implies: P Q,
sq_stable: SqStable(P),
subtype: S 
T
Lemmas :
event-ordering+_wf,
es-E_wf,
bag_wf,
msg-body_wf2,
type-valueall-type,
es-info_wf,
msg-type_wf,
eq_term_wf,
assert_wf,
event-ordering+_inc,
es-loc_wf,
Id_wf,
bag-member_wf,
es-header_wf,
name_wf,
squash_wf,
base-headers-msg-val-loc_wf,
classrel_wf,
base-headers-msg-val_wf,
Message_wf,
classrel-at,
base-noloc-classrel,
sq_stable__classrel,
sq_stable__bag-member
\mforall{}[T:Type]. \mforall{}[es:EO']. \mforall{}[e:E]. \mforall{}[v:T]. \mforall{}[hdr:Name]. \mforall{}[locs:bag(Id)].
uiff(v \mmember{} Base(hdr;locs;T)(e);\mdownarrow{}(es-header(es;e) = hdr)
\mwedge{} loc(e) \mdownarrow{}\mmember{} locs
\mwedge{} (\muparrow{}msg-type(info(e)) == T)
\mwedge{} (v = msg-body(info(e))))
Date html generated:
2012_01_23-PM-12_53_52
Last ObjectModification:
2011_12_11-PM-09_43_10
Home
Index