Nuprl Lemma : Accum-loc-class-exists
[Info,B,A:Type]. [es:EO+(Info)]. [e:E]. [f:Id 
A B B]. [init:Id bag(B)]. [X:EClass(A)].
((
x:B. x 
init loc(e)) 
(u:A. u X(e)) (v:B. v Accum-loc-class(f;init;X)(e)))
Proof not projected
Definitions occuring in Statement :
Accum-loc-class: Accum-loc-class(f;init;X),
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],
exists: x:A. B[x],
squash: T,
implies: P Q,
apply: f a,
function: x:A B[x],
universe: Type,
bag-member: x bs,
bag: bag(T)
Definitions :
eclass: EClass(A[eo; e]),
squash: T,
exists: x:A. B[x],
Accum-loc-class: Accum-loc-class(f;init;X),
member: t T,
true: True,
top: Top,
and: P 
Q,
so_lambda: 
x.t[x],
uall: [x:A]. B[x],
implies: P Q,
all: x:A. B[x],
rev_uimplies: rev_uimplies(P;Q),
uiff: uiff(P;Q),
uimplies: b supposing a,
prop: 
,
so_apply: x[s],
subtype: S 
T
Lemmas :
primed-class-opt-exists,
Accum-loc-class_wf,
es-loc_wf,
event-ordering+_inc,
rec-combined-loc-class-opt-1-classrel,
simple-loc-comb-2-classrel,
primed-class-opt_wf,
rec-combined-loc-class-opt-1_wf,
lifting-loc-2_wf,
and_wf,
classrel_wf,
equal_wf,
exists_wf,
squash_wf,
bag-member_wf,
event-ordering+_wf,
es-E_wf,
bag_wf,
Id_wf
\mforall{}[Info,B,A:Type]. \mforall{}[es:EO+(Info)]. \mforall{}[e:E]. \mforall{}[f:Id {}\mrightarrow{} A {}\mrightarrow{} B {}\mrightarrow{} B]. \mforall{}[init:Id {}\mrightarrow{} bag(B)].
\mforall{}[X:EClass(A)].
((\mdownarrow{}\mexists{}x:B. x \mdownarrow{}\mmember{} init loc(e)) {}\mRightarrow{} (\mdownarrow{}\mexists{}u:A. u \mmember{} X(e)) {}\mRightarrow{} (\mdownarrow{}\mexists{}v:B. v \mmember{} Accum-loc-class(f;init;X)(e)))
Date html generated:
2012_01_23-PM-01_21_26
Last ObjectModification:
2011_11_16-AM-10_35_56
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