FDL - Nuprl Lemma : es-E-interface-restrict

Nuprl Lemma : es-E-interface-restrict

A:Type, es:ES, I:AbsInterface(A), P:(E

), p:(

e:E. Dec(P(e))). E((I|p))

r E(I)

Definitions ES, Type, EqDecider(T), Unit, left + right, x:AB(x), IdLnk, x:A B(x), Id, EOrderAxioms(E; pred?; info), f(a), EState(T), Knd, kindcase(k; a.f(a); l,t.g(l;t) ), Msg(M), type List, , , val-axiom(E;V;M;info;pred?;init;Trans;Choose;Send;val;time), e < e', r s, P Q, x:A. B(x), , b, constant_function(f;A;B), P & Q, Top, t T, let x,y = A in B(x;y), AbsInterface(A), A, x(s), Dec(P), t.1, E, if b then t else f fi , case b of inl(x) => s(x) | inr(y) => t(y), Void, x:A.B(x), <a, b>, s = t, x.A(x), x. t(x), (I|p), E(X), , P Q

Lemmas es-is-interface-restrict, es-E-interface functionality, es-interface-restrict wf, subtype rel function, subtype rel sum