Nuprl Lemma : Memory-class-es-sv1
[Info,A,S:Type]. [init:Id 
bag(S)]. [f:A S S]. [X:EClass(A)]. [es:EO+(Info)].
(es-sv-class(es;Memory-class(f;init;X))) supposing (es-sv-class(es;X) and (l:Id. (bag-size(init l) 
1)))
Proof not projected
Definitions occuring in Statement :
Memory-class: Memory-class(f;init;X),
es-sv-class: es-sv-class(es;X),
eclass: EClass(A[eo; e]),
event-ordering+: EO+(Info),
Id: Id,
uimplies: b supposing a,
uall: [x:A]. B[x],
le: A B,
all: x:A. B[x],
apply: f a,
function: x:A B[x],
natural_number: $n,
universe: Type,
bag-size: bag-size(bs),
bag: bag(T)
Definitions :
so_lambda: 
x y.t[x; y],
so_lambda: x.t[x],
suptype: suptype(S; T),
subtype: S 
T,
top: Top,
member: t 
T,
Memory-class: Memory-class(f;init;X),
all: x:A. B[x],
so_apply: x[s1;s2],
so_apply: x[s],
nat: 
,
uimplies: b supposing a,
implies: P 
Q,
uall: [x:A]. B[x],
eclass: EClass(A[eo; e])
Lemmas :
eclass_wf,
event-ordering+_wf,
le_wf,
all_wf,
es-sv-class_wf,
event-ordering+_inc,
es-E_wf,
nat_wf,
Memory-class_wf,
bag-size_wf,
bag_wf,
top_wf,
subtype_rel_bag,
Id_wf,
Accum-class-es-sv,
Accum-class_wf,
primed-class-opt-es-sv
\mforall{}[Info,A,S:Type]. \mforall{}[init:Id {}\mrightarrow{} bag(S)]. \mforall{}[f:A {}\mrightarrow{} S {}\mrightarrow{} S]. \mforall{}[X:EClass(A)]. \mforall{}[es:EO+(Info)].
(es-sv-class(es;Memory-class(f;init;X))) supposing
(es-sv-class(es;X) and
(\mforall{}l:Id. (bag-size(init l) \mleq{} 1)))
Date html generated:
2012_02_20-PM-03_00_45
Last ObjectModification:
2012_02_07-PM-01_29_55
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