Nuprl Lemma : Memory-class-es-sv
[Info,A:Type]. [init:Id 
bag(Top)]. [f:Top]. [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],
top: Top,
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],
lt_int: i <z j,
bnot: 
b,
le_int: i z j,
bfalse: ff,
btrue: tt,
eq_int: (i =
j),
ifthenelse: if b then t else f fi ,
ycomb: Y,
lifting-gen-list-rev: lifting-gen-list-rev(n;bags),
select: l[i],
lifting-gen-rev: lifting-gen-rev(n;f;bags),
lifting2: lifting2(f;abag;bbag),
lifting-2: lifting-2(f),
member: t 
T,
Accum-class: Accum-class(f;init;X),
Memory-class: Memory-class(f;init;X),
top: Top,
so_apply: x[s1;s2],
nat: 
,
uimplies: b supposing a,
so_apply: x[s],
implies: P 
Q,
uall: [x:A]. B[x],
all: x:A. B[x],
subtype: S 
T,
eclass: EClass(A[eo; e])
Lemmas :
eclass_wf,
event-ordering+_wf,
le_wf,
Id_wf,
all_wf,
es-sv-class_wf,
event-ordering+_inc,
es-E_wf,
nat_wf,
primed-class-opt_wf,
bag-size_wf,
Accum-class-es-sv,
bag_wf,
single-bag_wf,
bag-combine_wf,
rec-combined-class-opt-1_wf,
top_wf,
primed-class-opt-es-sv
\mforall{}[Info,A:Type]. \mforall{}[init:Id {}\mrightarrow{} bag(Top)]. \mforall{}[f:Top]. \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_01_01
Last ObjectModification:
2012_02_07-PM-01_37_23
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