Nuprl Lemma : simple-loc-comb-1-concat-single-val
[Info:Type]. [es:EO+(Info)]. [A,B:Type]. [F:Id 
A bag(B)]. [X:EClass(A)].
(single-valued-classrel(es;F@|Loc, X|;B)) supposing
((i:Id. a:A. e:E. (a 
X(e) 
single-valued-bag(F i a;B))) and
single-valued-classrel(es;X;A))
Proof not projected
Definitions occuring in Statement :
concat-lifting-loc-1: f@,
simple-loc-comb-1: F|Loc, X|,
single-valued-classrel: single-valued-classrel(es;X;T),
classrel: v X(e),
eclass: EClass(A[eo; e]),
event-ordering+: EO+(Info),
es-E: E,
Id: Id,
uimplies: b supposing a,
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],
implies: P Q,
member: t T,
prop: 
,
so_lambda: 
x.t[x],
so_lambda: x y.t[x; y],
single-valued-bag: single-valued-bag(b;T),
uimplies: b supposing a,
squash: 
T,
exists: 
x:A. B[x],
and: P 
Q,
uiff: uiff(P;Q),
uall: [x:A]. B[x],
so_apply: x[s],
so_apply: x[s1;s2],
subtype: S 
T
Lemmas :
simple-loc-comb-1-concat-classrel,
bag-member_wf,
es-loc_wf,
classrel_wf,
simple-loc-comb-1_wf,
concat-lifting-loc-1_wf,
es-E_wf,
event-ordering+_inc,
all_wf,
Id_wf,
single-valued-bag_wf,
single-valued-classrel_wf,
eclass_wf,
event-ordering+_wf,
bag_wf
\mforall{}[Info:Type]. \mforall{}[es:EO+(Info)]. \mforall{}[A,B:Type]. \mforall{}[F:Id {}\mrightarrow{} A {}\mrightarrow{} bag(B)]. \mforall{}[X:EClass(A)].
(single-valued-classrel(es;F@|Loc, X|;B)) supposing
((\mforall{}i:Id. \mforall{}a:A. \mforall{}e:E. (a \mmember{} X(e) {}\mRightarrow{} single-valued-bag(F i a;B))) and
single-valued-classrel(es;X;A))
Date html generated:
2012_01_23-PM-01_16_34
Last ObjectModification:
2012_01_16-PM-02_43_56
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