
theorem Th1:
  for f,g being FinSequence st f^g is constant holds f is constant
  & g is constant
proof
  let f,g be FinSequence;
  assume f^g is constant;
  then reconsider h = f^g as constant FinSequence;
  rng f c= rng h by FINSEQ_1:29;
  hence f is constant;
  rng g c= rng h by FINSEQ_1:30;
  hence thesis;
end;
