Nuprl Lemma : Memory-class-single-val
[Info,A,S:Type]. [init:Id 
bag(S)]. [f:A S S]. [X:EClass(A)].
es:EO+(Info)
(single-valued-classrel(es;X;A)
(l:Id. single-valued-bag(init l;S))
single-valued-classrel(es;Memory-class(f;init;X);S))
Proof not projected
Definitions occuring in Statement :
Memory-class: Memory-class(f;init;X),
single-valued-classrel: single-valued-classrel(es;X;T),
eclass: EClass(A[eo; e]),
event-ordering+: EO+(Info),
Id: Id,
uall: [x:A]. B[x],
all: x:A. B[x],
implies: P Q,
apply: f a,
function: x:A B[x],
universe: Type,
single-valued-bag: single-valued-bag(b;T),
bag: bag(T)
Definitions :
single-valued-classrel: single-valued-classrel(es;X;T),
all: x:A. B[x],
Memory-class: Memory-class(f;init;X),
implies: P Q,
member: t 
T,
so_lambda: 
x.t[x],
so_lambda: x y.t[x; y],
and: P 
Q,
squash: 
T,
true: True,
single-valued-bag: single-valued-bag(b;T),
uall: [x:A]. B[x],
exists: 
x:A. B[x],
iff: P 
Q,
or: P 
Q,
not: 
A,
false: False,
uimplies: b supposing a,
prop: 
,
so_apply: x[s],
so_apply: x[s1;s2],
subtype: S 
T,
guard: {T}
Lemmas :
primed-class-opt-single-val,
Accum-class_wf,
Accum-classrel-Memory,
Memory-classrel,
es-loc_wf,
iterated_classrel-single-val,
es-pred_wf,
classrel_wf,
es-E_wf,
event-ordering+_inc,
all_wf,
Id_wf,
single-valued-bag_wf,
single-valued-classrel_wf,
event-ordering+_wf,
Memory-class_wf,
eclass_wf,
bag_wf,
and_wf,
equal_wf,
squash_wf,
true_wf
\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)
(single-valued-classrel(es;X;A)
{}\mRightarrow{} (\mforall{}l:Id. single-valued-bag(init l;S))
{}\mRightarrow{} single-valued-classrel(es;Memory-class(f;init;X);S))
Date html generated:
2012_01_23-PM-01_00_15
Last ObjectModification:
2012_01_13-AM-11_04_15
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