Consider the following premises. Jessica is not fast. Thomas is cooking if and only if Jessica is fast. For all x_10, if x_10 were a police officer, then x_10 is cooking. Can we infer the following from them? If we can, name the inference rule being used: Thomas is a police officer.
 From the fact that for all x_10, if x_10 were a police officer, then x_10 is cooking we can infer that if Thomas were a police officer, then Thomas is cooking via universal instantiation. From the fact that Thomas is cooking if and only if Jessica is fast, and that Jessica is not fast we can infer that Thomas is not cooking via biconditional elimination. Finally, from the fact that if Thomas were a police officer, then Thomas is cooking, and that Thomas is not cooking we can infer that Thomas is not a police officer via modus tollens, which contradicts that Thomas is a police officer. Therefore, the answer is no.