
theorem FAF:
  for f,g be complex-valued FinSequence holds
    Product (f^g) = (Product f) * (Product g)
  proof
    let f,g be complex-valued FinSequence;
    Product (((f^g)|(len f))^((f^g)/^(len f))) = (Product f)*(Product g)
      by PAP;
    hence thesis;
  end;
