Weak hyperbolicity of the system (4.20View Equation, 4.21View Equation) with given shift and densitized lapse has also been pointed out in [254Jump To The Next Citation Point] based on a reduction, which is first order in time and space. However, there are several inequivalent such reductions, and so it is not sufficient to show that a particular one is weakly hyperbolic in order to infer that the second-order-in-space system (4.20View Equation, 4.21View Equation) is weakly hyperbolic.