Nuprl Lemma : Memory-class-single-val2
[Info,A,S:Type]. [init:Id 
bag(S)]. [f:A S S]. [X:EClass(A)].
es:EO+(Info). e:E. s1,s2:S.
(single-valued-classrel(es;X;A)
single-valued-bag(init loc(e);S)
s1 
Memory-class(f;init;X)(e)
s2 Memory-class(f;init;X)(e)
(s1 = s2))
Proof not projected
Definitions occuring in Statement :
Memory-class: Memory-class(f;init;X),
single-valued-classrel: single-valued-classrel(es;X;T),
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],
all: x:A. B[x],
implies: P Q,
apply: f a,
function: x:A B[x],
universe: Type,
equal: s = t,
single-valued-bag: single-valued-bag(b;T),
bag: bag(T)
Definitions :
member: t T,
so_lambda: 
x y.t[x; y],
and: P 
Q,
single-valued-bag: single-valued-bag(b;T),
implies: P Q,
or: P 
Q,
not: 
A,
iff: P 
Q,
uall: [x:A]. B[x],
all: x:A. B[x],
false: False,
uimplies: b supposing a,
prop: 
,
so_apply: x[s1;s2],
subtype: S 
T
Lemmas :
Memory-classrel,
iterated_classrel-single-val,
es-pred_wf,
es-loc-pred,
event-ordering+_inc,
classrel_wf,
Memory-class_wf,
single-valued-bag_wf,
es-loc_wf,
single-valued-classrel_wf,
es-E_wf,
event-ordering+_wf,
eclass_wf,
Id_wf,
bag_wf,
and_wf,
equal_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). \mforall{}e:E. \mforall{}s1,s2:S.
(single-valued-classrel(es;X;A)
{}\mRightarrow{} single-valued-bag(init loc(e);S)
{}\mRightarrow{} s1 \mmember{} Memory-class(f;init;X)(e)
{}\mRightarrow{} s2 \mmember{} Memory-class(f;init;X)(e)
{}\mRightarrow{} (s1 = s2))
Date html generated:
2012_02_20-PM-02_53_32
Last ObjectModification:
2012_02_05-PM-01_13_00
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