Consider the following premises. For all x_2, if x_2 goes running, then x_2 is playing squash. For all x_2, x_2 will play squash if and only if x_2 will go running. Can we infer the following from them? For all x_2, x_2 will play squash if and only if x_2 will go running.
That is one of the premises. Therefore, the answer is yes.