Nuprl Lemma : nonempty-cmd-history 11,40

es:ES, Config:AbsInterface(chain_config()), Cmd:Type, Sys:AbsInterface(chain_sys(Cmd)), e:E.
(0 < ||cmd-history(e)||)  (e':E. (e' loc e  & ((e'  Sys(valid))))) 
latex


Definitionss = t, t  T, x:AB(x), x:AB(x), 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), <ab>, A, pred(e), first(e), xt(x), P & Q, Top, ES, AbsInterface(A), chain_config(), let x,y = A in B(x;y), chain_sys(Cmd), E, t.1, ||as||, a < b, e loc e' , P  Q, (e <loc e'), Sys(valid), sys-cmds(x), x.A(x), f'Ia, es-interface-history(es;X;e), #$n, A c B, x:AB(x), (x  l), cmd-history(e), P  Q, P  Q, e  X, case b of inl(x) => s(x) | inr(y) => t(y), if b then t else f fi , X(e), Void, x:A.B(x), s ~ t
Lemmassys-valid wf, es-is-interface-image, nonempty-es-interface-history, chain config wf, chain sys wf, es-interface wf, es-E wf, es-le wf, es-le weakening eq, event system wf, deq wf, EOrderAxioms wf, IdLnk wf, Msg wf, unit wf, nat wf, val-axiom wf, qle wf, cless wf, bool wf, top wf, Knd wf, kindcase wf, constant function wf, assert wf, not wf, loc wf, pred! wf, strongwellfounded wf, member wf, rationals wf, Id wf, EState wf, subtype rel wf

origin