Consider the following premises. It is sunny. Elisabeth is not a police officer. If Jessica were a carpenter, then it is not sunny. If Sarah plays a game, then Elisabeth is a police officer. Can we infer the following from them? If we can, name the inference rule being used: Jessica is a carpenter.
 From the fact that if Sarah plays a game, then Elisabeth is a police officer, and that Elisabeth is not a police officer we can infer that Sarah is not playing a game via modus tollens. Finally, from the fact that if Jessica were a carpenter, then it is not sunny, and that it is sunny we can infer that Jessica is not a carpenter via modus tollens, which contradicts that Jessica is a carpenter. Therefore, the answer is no.