Consider the following premises. There is at least one z for which if z reads a book, then z is playing tennis. For all z, if z plays tennis, then z is fast. For all z, if z plays tennis, then z is reading a book. Can we infer the following from them? There is at least one z for which if z reads a book, then z is fast.
 From the fact that for all z, if z plays tennis, then z is reading a book, and that there is at least one z for which if z reads a book, then z is playing tennis we can infer that there is at least one z for which z will play tennis if and only if z will read a book. From the fact that there is at least one z for which z will play tennis if and only if z will read a book we can infer that there is at least one z for which if z reads a book, then z is playing tennis. Finally, from the fact that there is at least one z for which if z reads a book, then z is playing tennis, and that for all z, if z plays tennis, then z is fast we can infer that there is at least one z for which if z reads a book, then z is fast. Therefore, the answer is yes.