Consider the following premises. For all x_6, x_6 will drink water or x_6 will not make tea. For all x_6, if x_6 drinks water, then x_6 is playing a game. For all x_6, if x_6 plays a game, then x_6 is making tea. Can we infer the following from them? For all x_6, x_6 will make tea if and only if x_6 will play a game.
 From the fact that for all x_6, x_6 will drink water or x_6 will not make tea we can infer that for all x_6, if x_6 makes tea, then x_6 is drinking water. From the fact that for all x_6, if x_6 makes tea, then x_6 is drinking water, and that for all x_6, if x_6 drinks water, then x_6 is playing a game we can infer that for all x_6, if x_6 makes tea, then x_6 is playing a game. Finally, from the fact that for all x_6, if x_6 makes tea, then x_6 is playing a game, and that for all x_6, if x_6 plays a game, then x_6 is making tea we can infer that for all x_6, x_6 will make tea if and only if x_6 will play a game. Therefore, the answer is yes.