Consider the following premises. For all x_2, x_2 is fast or x_2 will read a book. For all x_2, x_2 is happy or x_2 is not fast. There is at least one x_2 for which if x_2 reads a book, then x_2 is happy. Can we infer the following from them? There is at least one x_2 for which x_2 is happy.
 From the fact that for all x_2, x_2 is happy or x_2 is not fast we can infer that for all x_2, if x_2 were fast, then x_2 is happy. Finally, from the fact that for all x_2, if x_2 were fast, then x_2 is happy, that there is at least one x_2 for which if x_2 reads a book, then x_2 is happy, and that for all x_2, x_2 is fast or x_2 will read a book we can infer that there is at least one x_2 for which x_2 is happy. Therefore, the answer is yes.