reserve n,k for Nat,
  X for non empty set,
  S for SigmaField of X;

theorem
  for M be sigma_Measure of S, F be SetSequence of S st F is convergent
  holds ex G be sequence of S st
  G = inferior_setsequence F & M.(lim F) = sup rng (M*G)
proof
  let M be sigma_Measure of S, F be SetSequence of S;
  assume F is convergent;
  then lim_inf F = lim F by KURATO_0:def 5;
  hence thesis by Th3;
end;
