Consider the following premises. For all x_10, x_10 will drive a car. For all x_10, x_10 will read a book if and only if x_10 will drive a car. For all x_10, if x_10 drives a car, then x_10 is reading a book. For all x_10, if x_10 takes a plane, then x_10 is reading a book. Can we infer the following from them? If we can, name the inference rule being used: For all x_10, x_10 will read a book.
 From the fact that for all x_10, x_10 will read a book if and only if x_10 will drive a car we can infer that for all x_10, if x_10 reads a book, then x_10 is driving a car via universal biconditional elimination. From the fact that for all x_10, x_10 will drive a car we can infer that for all x_10, x_10 will drive a car or x_10 will take a plane via universal addition. From the fact that for all x_10, if x_10 reads a book, then x_10 is driving a car, and that for all x_10, if x_10 drives a car, then x_10 is reading a book we can infer that for all x_10, x_10 will read a book if and only if x_10 will drive a car via universal biconditional introduction. From the fact that for all x_10, x_10 will read a book if and only if x_10 will drive a car we can infer that for all x_10, if x_10 drives a car, then x_10 is reading a book via universal biconditional elimination. Finally, from the fact that for all x_10, if x_10 drives a car, then x_10 is reading a book, that for all x_10, if x_10 takes a plane, then x_10 is reading a book, and that for all x_10, x_10 will drive a car or x_10 will take a plane we can infer that for all x_10, x_10 will read a book via universal disjunction elimination. Therefore, the answer is yes.