Consider the following premises. For all x_5, x_5 will not play tennis. For all x_5, x_5 will play tennis if and only if x_5 will drink water. For all x_5, x_5 will drink water. Can we infer the following from them? For all x_5, x_5 will play tennis if and only if x_5 will drink water.
That is one of the premises. Therefore, the answer is yes.