Nuprl Lemma : es-prior-fixedpoints-fixed 11,40

es:ES, X:AbsInterface(Top), f:(E(X)E(X)).
(x:E(X). f(x) c x (ee':E(X). (e'  prior-f-fixedpoints(e))  (f(e') = e'  E)) 
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Definitionss = t, t  T, ES, AbsInterface(A), E(X), x:AB(x), e c e', x:AB(x), <ab>, Type, E, P  Q, x:A  B(x), b, left + right, P  Q, (e < e'), {x:AB(x)} , Top, f(a), , prior-f-fixedpoints(e), (x  l), let x,y = A in B(x;y), t.1, a:A fp B(a), strong-subtype(A;B), type List, EqDecider(T), Unit, IdLnk, Id, EOrderAxioms(Epred?info), EState(T), Knd, xt(x), x,yt(x;y), kindcase(ka.f(a); l,t.g(l;t) ), Msg(M), , , val-axiom(E;V;M;info;pred?;init;Trans;Choose;Send;val;time), e < e', r  s, constant_function(f;A;B), P & Q, loc(e), kind(e), , S  T, , Outcome, #$n, A  B, a < b, ||as||, Void, False, A, l[i], |g|, A c B, case b of inl(x) => s(x) | inr(y) => t(y), if b then t else f fi , x:AB(x), e  X, [], {T}, n+m, n - m, SWellFounded(R(x;y)), pred!(e;e'), pred(e), first(e), i  j , -n, ff, e = e', f**(e), [car / cdr], prior(X), X(e), as @ bs, b, tt, P  Q, p  q, p  q, p q, i <z j, i j, SQType(T), s ~ t, p =b q, (i = j), x =a y, null(as), a < b, x f y, a < b, [d], eq_atom$n(x;y), q_le(r;s), q_less(a;b), qeq(r;s), a = b, a = b, deq-member(eq;x;L), A List, sender(e), e loc e' , (e <loc e'), P  Q
Lemmases-fix-equal, es-fix-causle, es-fix wf2, member singleton, es-prior-interface-causl, member append, es-interface-val wf2, es-interface-val wf, es-is-interface wf, es-prior-interface wf, bool cases, eqtt to assert, bool sq, eqff to assert, iff transitivity, assert of bnot, not functionality wrt iff, assert-es-eq-E-2, es-eq-E wf, bnot wf, ge wf, nat properties, not wf, loc wf, pred! wf, strongwellfounded wf, es-interface wf, es-causle wf, es-causl-swellfnd, nat ind tp, guard wf, es-causl wf, le wf, false wf, length wf1, select wf, l member wf, es-prior-fixedpoints wf, top wf, constant function wf, assert wf, bool wf, qle wf, cless wf, val-axiom wf, rationals wf, nat wf, Msg wf, kindcase wf, Knd wf, EState wf, EOrderAxioms wf, Id wf, IdLnk wf, unit wf, deq wf, event system wf, es-E-interface-subtype rel, member wf, es-E wf, es-E-interface wf, subtype rel wf

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