Nuprl Lemma : eo-forward-no-classrel-in-interval
[Info,T:Type]. [X:EClass(T)]. [es:EO+(Info)]. [start:E]. [e1:E]. [e:E].
uiff((no X between e1 and e);(no X between e1 and e)) supposing (loc(e) = loc(e1)) 
(loc(e1) = loc(start))
Proof not projected
Definitions occuring in Statement :
no-classrel-in-interval: (no X between start and e),
eclass: EClass(A[eo; e]),
eo-forward: eo.e,
event-ordering+: EO+(Info),
es-loc: loc(e),
es-E: E,
Id: Id,
uiff: uiff(P;Q),
uimplies: b supposing a,
uall: [x:A]. B[x],
and: P Q,
universe: Type,
equal: s = t
Definitions :
no-classrel-in-interval: (no X between start and e),
all: x:A. B[x],
member: t 
T,
implies: P 
Q,
alle-lt: e<e'.P[e],
prop: 
,
top: Top,
true: True,
uall: [x:A]. B[x],
uimplies: b supposing a,
and: P Q,
uiff: uiff(P;Q),
not: 
A,
false: False,
so_lambda: 
x y.t[x; y],
iff: P 
Q,
squash: 
T,
rev_implies: P Q,
so_apply: x[s1;s2],
subtype: S 
T,
guard: {T}
Lemmas :
eo-forward-E-member,
eo-forward-E-subtype,
member-eo-forward-E,
es-le_transitivity,
Id_wf,
es-loc_wf,
event-ordering+_inc,
eo-forward-locl,
eo-forward-le,
es-le_wf,
es-locl_wf,
es-E_wf,
eo-forward_wf,
event-ordering+_wf,
classrel_wf,
no-classrel-in-interval_wf,
eclass_wf,
not_wf,
squash_wf,
true_wf,
eo-forward-forward,
event_ordering_wf
\mforall{}[Info,T:Type]. \mforall{}[X:EClass(T)]. \mforall{}[es:EO+(Info)]. \mforall{}[start:E]. \mforall{}[e1:E]. \mforall{}[e:E].
uiff((no X between e1 and e);(no X between e1 and e))
supposing (loc(e) = loc(e1)) \mwedge{} (loc(e1) = loc(start))
Date html generated:
2011_10_20-PM-03_21_11
Last ObjectModification:
2011_09_07-PM-02_31_44
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