Nuprl Lemma : es-E-interface-conditional 11,40

es:ES, XY:AbsInterface(Top). E([X?Y]) r {e:E| ((e  X))  ((e  Y))}  
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DefinitionsState(ds), State(ds), state@i, vartype(i;x), loc(e), f(x)?z, P  Q, xt(x), first(e), pred(e), <ab>, x,yt(x;y), pred!(e;e'), SWellFounded(R(x;y)), constant_function(f;A;B), e < e', val-axiom(E;V;M;info;pred?;init;Trans;Choose;Send;val;time), , type List, Msg(M), kind(e), loc(e), Knd, kindcase(ka.f(a); l,t.g(l;t) ), EOrderAxioms(Epred?info), IdLnk, EqDecider(T), , Id, EState(T), P  Q, {T}, f  g, IsPrimeIdeal(R;P), IsIntegDom(r), a  b, IsMonHom{M1,M2}(f), IsGroup(T;op;id;inv), IsMonoid(T;op;id), monot(T;x,y.R(x;y);f), Cancel(T;S;op), FunThru2op(A;B;opa;opb;f), fun_thru_1op(A;B;opa;opb;f), Dist1op2opLR(A;1op;2op), IsAction(A;x;e;S;f), IsBilinear(A;B;C;+a;+b;+c;f), BiLinear(T;pl;tm), Inverse(T;op;id;inv), Comm(T;op), Assoc(T;op), Ident(T;op;id), CoPrime(a,b), Connex(T;x,y.R(x;y)), AntiSym(T;x,y.R(x;y)), Trans(T;x,y.E(x;y)), Sym(T;x,y.E(x;y)), Refl(T;x,y.E(x;y)), IsEqFun(T;eq), Inj(A;B;f), InvFuns(A;B;f;g), a =!x:TQ(x), P  Q, P & Q, SqStable(P), 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), ee'.P(e), e<e'P(e), ee'.P(e), e<e'.P(e), e c e', (e < e'), e loc e' , (e <loc e'), l_disjoint(T;l1;l2), (x  l), Outcome, q-rel(r;x), r < s, r  s, y is f*(x), (xL.P(x)), xLP(x), x f y, A c B, a < b, a <p b, a  b, a ~ b, b | a, x:AB(x), Dec(P), T, if b then t else f fi , True, case b of inl(x) => s(x) | inr(y) => t(y), inl x , tt, f(a), inr x , ff, Unit, False, Void, t.1, let x,y = A in B(x;y), A, {x:AB(x)} , , , e  X, Type, E(X), E, P  Q, strong-subtype(A;B), a:A fp B(a), [f?g], x:AB(x), Top, left + right, x:AB(x), b, x:A  B(x), AbsInterface(A), ES, t  T, s = t
Lemmasmember wf, es-interface wf, top wf, subtype rel wf, es-E wf, p-conditional wf, es-E-interface wf, es-is-interface wf, bool wf, assert wf, unit wf, bfalse wf, btrue wf, true wf, decidable assert, sq stable from decidable, EState wf, Id wf, rationals wf, strongwellfounded wf, pred! wf, loc wf, not wf, constant function wf, kindcase wf, Knd wf, cless wf, qle wf, val-axiom wf, nat wf, Msg wf, IdLnk wf, EOrderAxioms wf, deq wf, event system wf, es-interface-conditional-domain-member, es-interface-conditional

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