Air Rabbit. On a slippery runway it is obvious that wheel braking efficiency can be greatly reduced. The 737NG FCTM discusses reverse thrust and crosswinds on a slippery runway. From reading that you simply have to be careful when using reverse but it certainly does not imply you should not use reverse. If you start sliding sideways the FCTM advises reduction to idle reverse until straightening with brakes then re-applying reverse. With no crosswind and symmetrical reverse on a slippery runway it will be the effect of reverse at high speeds that will kill the speed and allow more effective use of anti-skid. The key thing is to apply full reverse as soon as possible after touch-down where the reverse is most effective.