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