Nuprl Lemma : until-classrel
[Info,A,B:Type]. [X:EClass(A)]. [Y:EClass(B)]. [es:EO+(Info)]. [e:E]. [v:A].
(v 
(X until Y)(e) 
(no Y prior to e) 
v X(e))
Proof not projected
Definitions occuring in Statement :
until-class: (X until Y),
no-prior-classrel: (no X prior to e),
classrel: v X(e),
eclass: EClass(A[eo; e]),
event-ordering+: EO+(Info),
es-E: E,
uall: [x:A]. B[x],
iff: P Q,
and: P Q,
universe: Type
Definitions :
uall: [x:A]. B[x],
no-prior-classrel: (no X prior to e),
member: t T,
so_lambda: 
x y.t[x; y],
eclass: EClass(A[eo; e]),
iff: P Q,
classrel: v X(e),
until-class: (X until Y),
and: P Q,
alle-lt: e<e'.P[e],
all: x:A. B[x],
not: 
A,
implies: P Q,
rev_implies: P Q,
squash: 
T,
true: True,
false: False,
prop: 
,
so_lambda: x.t[x],
so_apply: x[s1;s2],
sq_stable: SqStable(P),
or: P 
Q,
so_apply: x[s],
existse-before: 
e<e'.P[e],
exists: x:A. B[x],
cand: A c B,
uimplies: b supposing a,
subtype: S 
T
Lemmas :
es-E_wf,
event-ordering+_inc,
event-ordering+_wf,
eclass_wf,
sq_stable__bag-member,
class-pred-cases,
classrel_wf,
es-locl_wf,
until-class_wf,
es-interface-top,
class-pred_wf,
empty-bag_wf,
alle-lt_wf,
not_wf,
Id_wf,
es-loc_wf,
bag-member_wf,
squash_wf,
true_wf,
bag_wf,
bag-member-empty
\mforall{}[Info,A,B:Type]. \mforall{}[X:EClass(A)]. \mforall{}[Y:EClass(B)]. \mforall{}[es:EO+(Info)]. \mforall{}[e:E]. \mforall{}[v:A].
(v \mmember{} (X until Y)(e) \mLeftarrow{}{}\mRightarrow{} (no Y prior to e) \mwedge{} v \mmember{} X(e))
Date html generated:
2011_10_20-PM-03_21_59
Last ObjectModification:
2011_08_16-PM-12_22_27
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