Nuprl Lemma : es-fix-last-prior-fixedpoints 11,40

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

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