Consider the following premises. For all x_16, if x_16 plays a game, then x_16 is a writer. For all x_16, if x_16 plays squash, then x_16 is playing a game. For all y_3, y_3 will play squash. Can we infer the following from them? For all x_16, if x_16 plays a game, then x_16 is a writer.
That is one of the premises. Therefore, the answer is yes.