Nuprl Lemma : member-class-le-before
[Info,T:Type]. [X:EClass(T)]. [es:EO+(Info)]. [e:E]. [v:T].
uiff(v 
class-le-before(X;es;e);
e':E. (e' 
loc e 
v X(e')))
Proof not projected
Definitions occuring in Statement :
classrel: v X(e),
class-le-before: class-le-before(X;es;e),
eclass: EClass(A[eo; e]),
event-ordering+: EO+(Info),
es-le: e loc e' ,
es-E: E,
uiff: uiff(P;Q),
uall: [x:A]. B[x],
exists: x:A. B[x],
squash: T,
and: P Q,
universe: Type,
bag-member: x bs
Definitions :
so_lambda: 
x y.t[x; y],
cand: A c B,
true: True,
so_lambda: x.t[x],
uimplies: b supposing a,
prop: 
,
subtype: S 
T,
all: x:A. B[x],
bag: bag(T),
member: t T,
and: P Q,
exists: x:A. B[x],
squash: T,
class-le-before: class-le-before(X;es;e),
bag-member: x bs,
uiff: uiff(P;Q),
eclass: EClass(A[eo; e]),
so_apply: x[s1;s2],
rev_uimplies: rev_uimplies(P;Q),
so_apply: x[s],
uall: [x:A]. B[x],
iff: P 
Q,
implies: P Q,
rev_implies: P Q,
classrel: v X(e)
Lemmas :
eclass_wf,
event-ordering+_wf,
class-le-before_wf,
and_wf,
exists_wf,
squash_wf,
bag-combine_wf,
bag-member_wf,
classrel_wf,
bag-member-combine,
es-le_wf,
es-le-before_wf2,
event-ordering+_inc,
es-E_wf,
bag_wf,
decidable__es-E-equal,
bag-member-list,
member-es-le-before
\mforall{}[Info,T:Type]. \mforall{}[X:EClass(T)]. \mforall{}[es:EO+(Info)]. \mforall{}[e:E]. \mforall{}[v:T].
uiff(v \mdownarrow{}\mmember{} class-le-before(X;es;e);\mdownarrow{}\mexists{}e':E. (e' \mleq{}loc e \mwedge{} v \mmember{} X(e')))
Date html generated:
2012_01_23-PM-12_22_01
Last ObjectModification:
2011_12_13-PM-12_58_46
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