reserve Omega, Omega1, Omega2 for non empty set;
reserve Sigma for SigmaField of Omega;
reserve S1 for SigmaField of Omega1;
reserve S2 for SigmaField of Omega2;
reserve F for random_variable of S1,S2;

theorem Th16:
  for S be non empty set,
  F be non empty FinSequence of S holds
  F is random_variable of
  Trivial-SigmaField (Seg len F),Trivial-SigmaField (S)
  proof
    let S be non empty set,
    F be non empty FinSequence of S;
    reconsider n = len F as non empty Element of NAT;
    A1: dom F = Seg n by FINSEQ_1:def 3;
    rng F c= S;
    hence thesis by Th15,A1,FUNCT_2:2;
  end;
