[en] Weinhold's lower bounding formula for the overlap between the exact wavefunction and an approximate wavefunction is applied to the hydrogen atom. The lower bound is examined as a function of both the number of basis set terms used in the bounding inequality and the nonlinear variational parameter in this basis set. A method is then proposed and tested for approximating the integrals over H² and H³ required by Weinhold's technique as products of integrals involving only H. In the case studied, the resulting approximate overlap bounds converged to the true bound