Nuprl Lemma : base-classrel2
[T:{T:Type| valueall-type(T)} ]. [es:EO']. [e:E]. [v:T]. [hdr:Name]. [locs:bag(Id)].
uiff(v 
Base(hdr;locs;T)(e);loc(e) 
locs 
(info(e) = make-Msg(hdr;T;v)))
Proof not projected
Definitions occuring in Statement :
make-Msg: make-Msg(hdr;typ;val),
base-headers-msg-val-loc: Base(hdr;locs;typ),
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,
uiff: uiff(P;Q),
uall: [x:A]. B[x],
and: P Q,
set: {x:A| B[x]} ,
universe: Type,
equal: s = t,
bag-member: x bs,
bag: bag(T),
valueall-type: valueall-type(T)
Definitions :
cand: A c B,
prop: 
,
true: True,
squash: T,
uimplies: b supposing a,
member: t T,
bag-member: x bs,
and: P Q,
base-headers-msg-val-loc: Base(hdr;locs;typ),
classrel: v X(e),
uiff: uiff(P;Q),
name: Name,
uall: [x:A]. B[x],
all: x:A. B[x],
rev_implies: P 
Q,
iff: P 
Q,
implies: P Q,
subtype: S 
T
Lemmas :
valueall-type_wf,
event-ordering+_wf,
es-E_wf,
name_wf,
bag_wf,
make-Msg_wf,
es-info_wf,
event-ordering+_inc,
es-loc_wf,
Id_wf,
bag-member_wf,
base-headers-msg-val-loc_wf,
classrel_wf,
base-headers-msg-val_wf,
Message_wf,
classrel-at,
base-noloc-classrel-make-Msg
\mforall{}[T:\{T:Type| valueall-type(T)\} ]. \mforall{}[es:EO']. \mforall{}[e:E]. \mforall{}[v:T]. \mforall{}[hdr:Name]. \mforall{}[locs:bag(Id)].
uiff(v \mmember{} Base(hdr;locs;T)(e);loc(e) \mdownarrow{}\mmember{} locs \mwedge{} (info(e) = make-Msg(hdr;T;v)))
Date html generated:
2012_01_23-PM-12_54_08
Last ObjectModification:
2011_12_11-PM-09_53_54
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