Nuprl Lemma : ma-knows-not 11,40

poss:(ES{i}{i'}), T:Type{i}, s:Ti:Id, P:(possible-event{i:l}(poss){i'}),
R:(possible-event{i:l}(poss)possible-event{i:l}(poss){i'}), Rs:(TT{i'}).
EquivRel(possible-event{i:l}
EquivRel(possible-event(poss);_1,_2.R(_1,_2))
 (ee':possible-event{i:l}(poss).
 poss-consistent(i;T;s;e;Rs poss-consistent(i;T;s;e';Rs (R(e,e')))
 (ma-knows{i:l}
 (ma-knows(possiTsPRsR))
 ma-knows{i:l}
 ma-knows(possiTs; (e.es-knows{i:l}(possRPe)); RsR
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Definitionsf(a), x:AB(x), t  T, P  Q, Trans(T;x,y.E(x;y)), x:A  B(x), P & Q, EquivRel(T;x,y.E(x;y)), PossibleEvent(poss), K(P)@e, poss-consistent(i;T;s;ev;R), False, A, x:AB(x), Type, Atom$n, Id, A c B, Void, , ES, x,yt(x;y), Ki(P)@s
Lemmasnot wf, equiv rel wf, Id wf, event system wf, es-knows-not, es-knows wf, poss-consistent wf, possible-event wf

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