Consider the following premises. If Linda were a cashier, then Thomas is a lawyer. For all x_10, x_10 will not cook. Jessica is cooking if and only if Thomas is a lawyer. Can we infer the following from them? If we can, name the inference rule being used: Linda is not a cashier.
 From the fact that for all x_10, x_10 will not cook we can infer that Jessica is not cooking via universal instantiation. From the fact that Jessica is cooking if and only if Thomas is a lawyer, and that Jessica is not cooking we can infer that Thomas is not a lawyer via biconditional elimination. Finally, from the fact that if Linda were a cashier, then Thomas is a lawyer, and that Thomas is not a lawyer we can infer that Linda is not a cashier via modus tollens. Therefore, the answer is yes.