For a proper scheme or, more general, a Deligne-Mumford stack $X$ over an algebraically closed field $k$ it is known that if at all points $x$ the dimension $dim_x X$ of the local ring at that point is equal to the dimension of the tangent space $T_x X$, then the scheme is smooth.
Does this somehow generalize to Artin stacks after replacing the tangent space by the tangent complex?