reserve
  a for natural Number,
  k,l,m,n,k1,b,c,i for Nat,
  x,y,z,y1,y2 for object,
  X,Y for set,
  f,g for Function;
reserve p,q,r,s,t for FinSequence;
reserve D for set;
reserve a, b, c, d, e, f for object;
reserve x1,x2,y1,y2 for object;

theorem
  for f being complex-valued FinSequence holds f is FinSequence of COMPLEX
  proof
    let f be complex-valued FinSequence;
    thus rng f c= COMPLEX by VALUED_0:def 1;
  end;
