Consider the following premises. There is at least one x_8 for which x_8 will play a game if and only if x_8 will write a letter. For all x_8, x_8 will drink water if and only if x_8 will play a game. Can we infer the following from them? There is at least one x_8 for which if x_8 drinks water, then x_8 is writing a letter.
 From the fact that for all x_8, x_8 will drink water if and only if x_8 will play a game we can infer that for all x_8, if x_8 drinks water, then x_8 is playing a game. From the fact that there is at least one x_8 for which x_8 will play a game if and only if x_8 will write a letter we can infer that there is at least one x_8 for which if x_8 plays a game, then x_8 is writing a letter. Finally, from the fact that for all x_8, if x_8 drinks water, then x_8 is playing a game, and that there is at least one x_8 for which if x_8 plays a game, then x_8 is writing a letter we can infer that there is at least one x_8 for which if x_8 drinks water, then x_8 is writing a letter. Therefore, the answer is yes.