Nuprl Lemma : simple-loc-comb-1-concat-classrel
[Info,A,B:Type]. [f:Id 
A bag(B)]. [X:EClass(A)]. [es:EO+(Info)]. [e:E]. [v:B].
uiff(v 
f@|Loc, X|(e);
a:A. (a X(e) 
v f loc(e) a))
Proof not projected
Definitions occuring in Statement :
concat-lifting-loc-1: f@,
simple-loc-comb-1: F|Loc, X|,
classrel: v X(e),
eclass: EClass(A[eo; e]),
event-ordering+: EO+(Info),
es-loc: loc(e),
es-E: E,
Id: Id,
uiff: uiff(P;Q),
uall: [x:A]. B[x],
exists: x:A. B[x],
squash: T,
and: P Q,
apply: f a,
function: x:A B[x],
universe: Type,
bag-member: x bs,
bag: bag(T)
Definitions :
simple-loc-comb-1: F|Loc, X|,
concat-lifting-loc-1: f@,
member: t T,
so_lambda: 
x.t[x],
so_lambda: x y.t[x; y],
uall: [x:A]. B[x],
simple-loc-comb1: simple-loc-comb1(l,b.F[l; b];X),
so_apply: x[s],
all: x:A. B[x],
so_apply: x[s1;s2],
subtype: S 
T
Lemmas :
simple-loc-comb1-concat-classrel,
classrel_wf,
simple-loc-comb-1_wf,
concat-lifting-loc-1_wf,
squash_wf,
exists_wf,
and_wf,
bag-member_wf,
es-loc_wf,
event-ordering+_inc,
es-E_wf,
event-ordering+_wf,
eclass_wf,
Id_wf,
bag_wf
\mforall{}[Info,A,B:Type]. \mforall{}[f:Id {}\mrightarrow{} A {}\mrightarrow{} bag(B)]. \mforall{}[X:EClass(A)]. \mforall{}[es:EO+(Info)]. \mforall{}[e:E]. \mforall{}[v:B].
uiff(v \mmember{} f@|Loc, X|(e);\mdownarrow{}\mexists{}a:A. (a \mmember{} X(e) \mwedge{} v \mdownarrow{}\mmember{} f loc(e) a))
Date html generated:
2012_01_23-PM-01_10_27
Last ObjectModification:
2012_01_06-PM-02_49_56
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