Nuprl Lemma : Accum-class-single-val
[Info,A,B:Type]. [es:EO+(Info)].
X:EClass(A)
[init:Id 
bag(B)]. [f:A B B].
(single-valued-classrel(es;X;A)
(l:Id. single-valued-bag(init l;B))
single-valued-classrel(es;Accum-class(f;init;X);B))
Proof not projected
Definitions occuring in Statement :
Accum-class: Accum-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 :
so_lambda: 
x y.t[x; y],
so_lambda: x.t[x],
member: t 
T,
Accum-class: Accum-class(f;init;X),
all: x:A. B[x],
so_apply: x[s1;s2],
so_apply: x[s],
prop: 
,
uimplies: b supposing a,
uall: [x:A]. B[x],
subtype: S 
T
Lemmas :
event-ordering+_wf,
eclass_wf,
bag_wf,
event-ordering+_inc,
es-E_wf,
Accum-class_wf,
classrel_wf,
single-valued-classrel_wf,
single-valued-bag_wf,
Id_wf,
all_wf,
rec-combined-class-opt-1-single-val
\mforall{}[Info,A,B:Type]. \mforall{}[es:EO+(Info)].
\mforall{}X:EClass(A)
\mforall{}[init:Id {}\mrightarrow{} bag(B)]. \mforall{}[f:A {}\mrightarrow{} B {}\mrightarrow{} B].
(single-valued-classrel(es;X;A)
{}\mRightarrow{} (\mforall{}l:Id. single-valued-bag(init l;B))
{}\mRightarrow{} single-valued-classrel(es;Accum-class(f;init;X);B))
Date html generated:
2012_02_20-PM-02_59_15
Last ObjectModification:
2012_02_05-PM-11_52_29
Home
Index