  We argue that lattice QCD with Ginsparg-Wilson fermions satisfies the
Leutwyler-Smilga sum rules for the eigenvalues of the chiral Dirac operator.
The result is obtained in the one flavor case, by rephrasing Leutwyler and
Smilga's original analysis for the finite volume partition function. This is a
further evidence that Ginsparg-Wilson fermions, even if breaking explicitly the
chirality on the lattice in accordance to the Nielsen-Ninomiya theorem, mimic
the main features of the continuum theory related to chiral symmetry.
