Consider the following premises. For all x_7, x_7 is bored or x_7 is happy. For all x_7, x_7 will not read a book. For all x_7, x_7 is bored if and only if x_7 will read a book. Can we infer the following from them? For all x_7, x_7 is happy.
 From the fact that for all x_7, x_7 is bored if and only if x_7 will read a book we can infer that for all x_7, if x_7 were bored, then x_7 is reading a book. From the fact that for all x_7, if x_7 were bored, then x_7 is reading a book, and that for all x_7, x_7 will not read a book we can infer that for all x_7, x_7 is not bored. Finally, from the fact that for all x_7, x_7 is bored or x_7 is happy, and that for all x_7, x_7 is not bored we can infer that for all x_7, x_7 is happy. Therefore, the answer is yes.