Consider the following premises. For all x_5, if x_5 plays squash, then x_5 is cooking. For all x_5, x_5 will play squash. For all x_5, if x_5 cooks, then x_5 is playing squash. Can we infer the following from them? For all x_5, x_5 will cook.
 From the fact that for all x_5, if x_5 plays squash, then x_5 is cooking, and that for all x_5, if x_5 cooks, then x_5 is playing squash we can infer that for all x_5, x_5 will play squash if and only if x_5 will cook. From the fact that for all x_5, x_5 will play squash if and only if x_5 will cook we can infer that for all x_5, if x_5 plays squash, then x_5 is cooking. Finally, from the fact that for all x_5, if x_5 plays squash, then x_5 is cooking, and that for all x_5, x_5 will play squash we can infer that for all x_5, x_5 will cook. Therefore, the answer is yes.