
theorem Th8:
  for X be non empty set, S be SigmaField of X, M be sigma_Measure
  of S, F be Finite_Sep_Sequence of S holds dom F = dom (M*F)
proof
  let X be non empty set;
  let S be SigmaField of X;
  let M be sigma_Measure of S;
  let F be Finite_Sep_Sequence of S;
  dom M = S by FUNCT_2:def 1;
  then rng F c= dom M;
  hence thesis by RELAT_1:27;
end;
