theorem Th24: ::Corollary 2.5
  for L being completely-distributive LATTICE holds L is continuous
proof
  let L be completely-distributive LATTICE;
A1: for F being DoubleIndexedSet of K, L st for j being Element of J holds
  rng(F.j) is directed holds Inf Sups F = Sup Infs Frege F by Def3;
  L is complete by Def3;
  hence thesis by A1,Lm9;
end;
