
theorem
  Newton_Coeff 2 = <*1,2,1*>
  proof
    len (Newton_Coeff 2) = 2 + 1 by NEWTON:def 5; then
    dom (Newton_Coeff 2) = Seg 3 &
      (Newton_Coeff 2).1 = 1 & (Newton_Coeff 2).(2+1) = 1 &
        (Newton_Coeff 2).2 = 2 by FINSEQ_1:def 3;
    hence thesis;
  end;
