Consider the following premises. There is at least one z for which if z plays tennis, then z is a nurse. For all z, z is bored if and only if z will go running. For all z, if z goes running, then z is playing tennis. Can we infer the following from them? There is at least one z for which if z were bored, then z is a nurse.
 From the fact that for all z, if z goes running, then z is playing tennis, and that there is at least one z for which if z plays tennis, then z is a nurse we can infer that there is at least one z for which if z goes running, then z is a nurse. From the fact that for all z, z is bored if and only if z will go running we can infer that for all z, if z were bored, then z is running. Finally, from the fact that for all z, if z were bored, then z is running, and that there is at least one z for which if z goes running, then z is a nurse we can infer that there is at least one z for which if z were bored, then z is a nurse. Therefore, the answer is yes.