Nuprl Lemma : es-fix-equal 11,40

es:ES, X:AbsInterface(Top), f:(E(X)E(X)).
(x:E(X). f(x) c x (e:E(X). (f**(e) = e  E)  (f(e) = e  E)) 
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Definitionss = t, t  T, x:AB(x), x:AB(x), ES, EState(T), a:A fp B(a), f(a), Id, , strong-subtype(A;B), P  Q, Type, EqDecider(T), Unit, left + right, IdLnk, x:A  B(x), 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', , b, constant_function(f;A;B), SWellFounded(R(x;y)), , pred!(e;e'), x,yt(x;y), Void, x:A.B(x), Top, S  T, suptype(ST), first(e), A, <ab>, pred(e), x.A(x), xt(x), P & Q, E, E(X), AbsInterface(A), {x:AB(x)} , e c e', (e < e'), e  X, P  Q, P  Q, y is f*(x), x:AB(x), hd(l), y=f*(x) via L, f**(e), let x,y = A in B(x;y), P  Q, locl(a), (x  l), A c B, T, True, f(x)?z, t.1, f**(x), es-eq(es), eqof(d), ff, b, p =b q, i <z j, i j, (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), e = e', p  q, p  q, p q, tt, , inr x , inl x , case b of inl(x) => s(x) | inr(y) => t(y), False, if b then t else f fi , Dec(P), b | a, a ~ b, a  b, a <p b, a < b, xLP(x), (xL.P(x)), r < s, q-rel(r;x), Outcome, l_disjoint(T;l1;l2), (e <loc e'), e loc e' , e<e'.P(e), ee'.P(e), e<e'P(e), ee'.P(e), e[e1,e2).P(e), e[e1,e2).P(e), e[e1,e2].P(e), e[e1,e2].P(e), e(e1,e2].P(e), SqStable(P), a =!x:TQ(x), InvFuns(A;B;f;g), Inj(A;B;f), IsEqFun(T;eq), Refl(T;x,y.E(x;y)), Sym(T;x,y.E(x;y)), Trans(T;x,y.E(x;y)), AntiSym(T;x,y.R(x;y)), Connex(T;x,y.R(x;y)), CoPrime(a,b), Ident(T;op;id), Assoc(T;op), Comm(T;op), Inverse(T;op;id;inv), BiLinear(T;pl;tm), IsBilinear(A;B;C;+a;+b;+c;f), IsAction(A;x;e;S;f), Dist1op2opLR(A;1op;2op), fun_thru_1op(A;B;opa;opb;f), FunThru2op(A;B;opa;opb;f), Cancel(T;S;op), monot(T;x,y.R(x;y);f), IsMonoid(T;op;id), IsGroup(T;op;id;inv), IsMonHom{M1,M2}(f), a  b, IsIntegDom(r), IsPrimeIdeal(R;P), f  g
Lemmasdeq property, strong-subtype-deq-subtype, sq stable from decidable, decidable assert, true wf, btrue wf, bfalse wf, eqtt to assert, iff transitivity, eqff to assert, assert of bnot, eqof wf, es-eq wf, bnot wf, fix wf, singleton-subtype, es-E-interface-strong-subtype, es-fix property, iff wf, strong-subtype wf, strong-subtype-self, rev implies wf, 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, assert 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

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