Nuprl Lemma : es-le-prior-interface-val 11,40

es:ES, X:AbsInterface(Top), e:E, e':E(X). (e' <loc e e' loc prior(X)(e)  
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Definitionse loc e' , x:AB(x), x:AB(x), s = t, t  T, strong-subtype(A;B), P  Q, ES, AbsInterface(A), E, E(X), (e <loc e'), A, X(e), e(e1,e2].P(e), @e(xv), (last change to x before e), x:A  B(x), P & Q, A c B, pred(e), Id, (e < e'), left + right, let x,y = A in B(x;y), t.1, {x:AB(x)} , e < e', case b of inl(x) => s(x) | inr(y) => t(y), if b then t else f fi , Void, False, Top, P  Q, P  Q, P  Q, e c e', lastchange(x;e), es-init(es;e), True, a:A fp B(a), Type, EqDecider(T), Unit, IdLnk, EOrderAxioms(Epred?info), f(a), EState(T), Knd, xt(x), x,yt(x;y), kindcase(ka.f(a); l,t.g(l;t) ), Msg(M), type List, , , val-axiom(E;V;M;info;pred?;init;Trans;Choose;Send;val;time), r  s, , constant_function(f;A;B), <ab>, f  g, f(x)?z, loc(e), vartype(i;x), state@i, State(ds), State(ds), x  dom(f), {T}, T, kind(e), loc(e), kind(e), first(e), source(l), destination(l), isrcv(e), es-first-from(es;e;l;tg), isrcv(k), Atom$n, Dec(P), x:AB(x), 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), ff, inr x , tt, inl x , , b | a, a ~ b, a  b, a <p b, a < b, x f y, xLP(x), (xL.P(x)), r < s, q-rel(r;x), Outcome, (x  l), l_disjoint(T;l1;l2), 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), SWellFounded(R(x;y)), pred!(e;e'), pred(e), first(e), prior(X), e  X, b
Lemmasloc wf, pred! wf, strongwellfounded wf, es-is-prior-interface, sq stable from decidable, decidable assert, btrue wf, bfalse wf, es-prior-interface-val, decidable es-le, decidable es-locl, es-le-not-locl, es-isrcv-loc, es-le-loc, es-interface-val wf2, es-loc wf, es-loc-pred, false wf, all functionality wrt iff, implies functionality wrt iff, iff wf, rev implies wf, not wf, es-locl-iff, es-interface-val wf, es-prior-interface wf, true wf, squash wf, es-interface wf, es-E-interface wf, es-interface-subtype rel, member 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, IdLnk wf, unit wf, deq wf, event system wf, subtype rel wf, es-E-interface-subtype rel, es-causle-le, es-E wf, es-causl wf, Id wf, es-locl wf, es-le wf

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