es:ES, A, B:Type, Ia:AbsInterface(A), Ib:AbsInterface(B), f:(E(Ia)B).
glued(es; B; f; Ia; Ib)   

latex

Definitions

x:A  B(x), b, ES, Type, x:AB(x), AbsInterface(A), t  T, EqDecider(T), Unit, left + right, IdLnk, 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), , constant_function(f;A;B), P & Q, Top, let x,y = A in B(x;y), {x:A| B(x)} , E(X), e  X, E, x:A. B(x), glues(es; B; g; f; Ia; Ib), glued(es; B; f; Ia; Ib), pred!(e;e'), SWellFounded(R(x;y)), loc(e), <a, b>, s = t, A,

Lemmas

val-axiom wf, constant function wf, es-E-interface wf, assert wf, es-is-interface wf