Consider the following premises. Karen is reading a book. If Karen reads a book, then Thomas is a nurse. For all x, if x drives a car, then x is reading a book. If Thomas were a nurse, then Karen is driving a car. Can we infer the following from them? If we can, name the inference rule being used: Thomas is a nurse.
 From the fact that for all x, if x drives a car, then x is reading a book we can infer that if Karen drives a car, then Karen is reading a book via universal instantiation. From the fact that if Thomas were a nurse, then Karen is driving a car, and that if Karen drives a car, then Karen is reading a book we can infer that if Thomas were a nurse, then Karen is reading a book via transitivity. From the fact that if Karen reads a book, then Thomas is a nurse, and that if Thomas were a nurse, then Karen is reading a book we can infer that Karen is reading a book if and only if Thomas is a nurse via biconditional introduction. From the fact that Karen is reading a book if and only if Thomas is a nurse we can infer that if Karen reads a book, then Thomas is a nurse via biconditional elimination. Finally, from the fact that if Karen reads a book, then Thomas is a nurse, and that Karen is reading a book we can infer that Thomas is a nurse via modus ponens. Therefore, the answer is yes.