ds:fpf(Id; x.Type), da:fpf(Knd; k.Type), es:event_system{i:l}, i:Id, e1,e2:{e:es-E(es)| 
ds:fpf(Id; x.Type), da:fpf(Knd; k.Type), es:event_system{i:l}, i:Id, e1,e2:{loc(e) = i} .
(x:Id. subtype_rel(es-vartype(es; i; x); fpf-cap(ds; id-deq; x; top)))
 (e:es-E(es). 
 (loc(e) = i)  subtype_rel(es-valtype(es; e); fpf-cap(da; Kind-deq; es-kind(es; e); top)))
 es-locl(es; e1; e2)
 (es-hist{i:l}(es;e1;e2)
 (=
 (append(es-hist{i:l}(es;e1;es-pred(es; e2)); cons(es-info(es;e2); []))
 ( (event-info(ds;da) List)) 

latex

Definitions	t  T, x:A. B(x), P  Q, Id, x. t(x), fpf(A; a.B(a)), Knd, event_system{i:l}, loc(e), es-E(es), top, id-deq, fpf-cap(f; eq; x; z), es-vartype(es; i; x), es-kind(es; e), Kind-deq, es-valtype(es; e), es-locl(es; e; e'), es-hist{i:l}(es;e1;e2), es-pred(es; e), append(as; bs), event-info(ds;da)
Lemmas	es-interval-eq, es-locl wf, es-valtype wf, Kind-deq wf, es-kind wf, es-vartype wf, fpf-cap wf, id-deq wf, top wf, es-E wf, es-loc wf, event system wf, Knd wf, fpf wf, Id wf, es-hist-partition, es-le-self