Nuprl Lemma : classrel-at
[Info,T:Type]. [X:EClass(T)]. [locs:bag(Id)]. [es:EO+(Info)]. [e:E]. [v:T].
(v 
X@locs(e) 
loc(e) 
locs 
v X(e))
Proof not projected
Definitions occuring in Statement :
class-at: X@locs,
classrel: v X(e),
eclass: EClass(A[eo; e]),
event-ordering+: EO+(Info),
es-loc: loc(e),
es-E: E,
Id: Id,
uall: [x:A]. B[x],
iff: P Q,
and: P Q,
universe: Type,
bag-member: x bs,
bag: bag(T)
Definitions :
bfalse: ff,
btrue: tt,
all: x:A. B[x],
ifthenelse: if b then t else f fi ,
guard: {T},
so_lambda: 
x y.t[x; y],
true: True,
squash: T,
rev_implies: P Q,
implies: P Q,
member: t T,
bag-member: x bs,
and: P Q,
class-at: X@locs,
classrel: v X(e),
iff: P Q,
uall: [x:A]. B[x],
unit: Unit,
bool: 
,
uiff: uiff(P;Q),
sq_type: SQType(T),
or: P 
Q,
false: False,
uimplies: b supposing a,
not: 
A,
so_apply: x[s1;s2],
prop: 
,
it: 
,
subtype: S 
T
Lemmas :
not_functionality_wrt_uiff,
assert_of_bnot,
eqff_to_assert,
assert-bag-deq-member,
eqtt_to_assert,
uiff_transitivity,
bool_subtype_base,
subtype_base_sq,
bool_cases,
bag-member-empty,
not_wf,
bnot_wf,
assert_wf,
bool_wf,
equal_wf,
id-deq_wf,
bag-deq-member_wf,
eclass_wf,
bag_wf,
event-ordering+_wf,
es-E_wf,
event-ordering+_inc,
es-loc_wf,
Id_wf,
bag-member_wf,
and_wf,
class-at_wf,
classrel_wf
\mforall{}[Info,T:Type]. \mforall{}[X:EClass(T)]. \mforall{}[locs:bag(Id)]. \mforall{}[es:EO+(Info)]. \mforall{}[e:E]. \mforall{}[v:T].
(v \mmember{} X@locs(e) \mLeftarrow{}{}\mRightarrow{} loc(e) \mdownarrow{}\mmember{} locs \mwedge{} v \mmember{} X(e))
Date html generated:
2012_01_23-PM-12_25_44
Last ObjectModification:
2011_12_13-PM-02_16_51
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