Nuprl Lemma : es-interface-local-pred 11,40

es:ES, P:(E).
(e:E. Dec(P(e)))
 (X:AbsInterface(E)
 ((e:E.
 ((((e  X))  (a:E. (es-p-local-pred(es;P)(e,a))))
 (& (((e  X))  (es-p-local-pred(es;P)(e,X(e)))))) 
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DefinitionsE, x,yt(x;y), f(a), es-p-local-pred(es;P), P & Q, P  Q, b, AbsInterface(A), strong-subtype(A;B), x.A(x), s = t, ES, x:AB(x), x:A  B(x), P  Q, x:AB(x), , Type, x:AB(x), Dec(P), t  T
Lemmases-E wf, decidable exists-es-p-local-pred, decidable wf, es-p-local-pred wf, es-interface-from-decidable, event system wf, es-interface wf, iff wf, assert wf

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