Nuprl Lemma : es-hist-one-one 11,40

ds:fpf(Id; x.Type), da:fpf(Knd; k.Type), i:Id, es:event_system{i:l}.
(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)))
 (e1,e2,e3:es-E(es).
 (loc(e1) = i)
  es-le(es; e1; e2)
  es-le(es; e1; e3)
  (es-hist{i:l}(es;e1;e2) = es-hist{i:l}(es;e1;e3)  (event-info(ds;da) List))
  (e2 = e3)) 
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DefinitionsId, t  T, x. t(x), x:A. B(x), fpf(A; a.B(a)), Knd, event_system{i:l}, top, id-deq, es-vartype(es; i; x), fpf-cap(f; eq; x; z), es-kind(es; e), Kind-deq, es-valtype(es; e), loc(e), P  Q, es-E(es), prop{i:l}, es-le(es; e; e'), b, False, A, es-hist{i:l}(es;e1;e2), event-info(ds;da), ||as||, [e, e']
Lemmaslength-map, es-interval wf, length wf1, es-interval-length-one-one, event-info wf, es-hist wf, es-le-loc, es-loc-pred, es-le wf, es-E wf, es-loc wf, es-valtype wf, Kind-deq wf, es-kind wf, es-vartype wf, fpf-cap wf, id-deq wf, top wf, event system wf, Knd wf, fpf wf, Id wf

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