Consider the following premises. For all z, z will not play a game. For all z, z will go running if and only if z will drink water. For all z, z will play a game if and only if z will drink water. Can we infer the following from them? If we can, name the inference rule being used: For all z, z will play a game if and only if z will drink water.
That is one of the premises. Therefore, the answer is yes.