  We investigate the zero kinematic viscosity-magnetic diffusion limit of the
incompressible viscous magnetohydrodynamic equations with Navier boundary
conditions in a smooth bounded domain $\Omega\subset\mathbb{R}^3$. We obtain
the uniform regularity of solutions with respect to the kinematic viscosity
coefficient and the magnetic diffusivity coefficient. These solutions are
uniformly bounded in a conormal Sobolev space and $W^{1,\infty}(\Omega)$ which
allow us to take the zero kinematic viscosity-magnetic diffusion limit.
Moreover, we also get the rates of convergence.
