Consider the following premises. For all x_5, if x_5 were a police officer, then x_5 is excited. For all x_5, x_5 will cook or x_5 is not excited. There is at least one x_5 for which if x_5 plays squash, then x_5 is a police officer. Can we infer the following from them? There is at least one x_5 for which if x_5 plays squash, then x_5 is cooking.
 From the fact that there is at least one x_5 for which if x_5 plays squash, then x_5 is a police officer, and that for all x_5, if x_5 were a police officer, then x_5 is excited we can infer that there is at least one x_5 for which if x_5 plays squash, then x_5 is excited. From the fact that for all x_5, x_5 will cook or x_5 is not excited we can infer that for all x_5, if x_5 were excited, then x_5 is cooking. Finally, from the fact that there is at least one x_5 for which if x_5 plays squash, then x_5 is excited, and that for all x_5, if x_5 were excited, then x_5 is cooking we can infer that there is at least one x_5 for which if x_5 plays squash, then x_5 is cooking. Therefore, the answer is yes.