
theorem
  for a being positive Real holds (sqrt a) / a = 1 / sqrt a
  proof
    let a be positive Real;
    a = sqrt (a^2) by SQUARE_1:def 2
     .= sqrt a * sqrt a by SQUARE_1:29; then
    (sqrt a) / a = sqrt a / sqrt a / sqrt a by XCMPLX_1:78;
    hence thesis by XCMPLX_1:60,SQUARE_1:24;
  end;
