Consider the following premises. Karen is driving a car if and only if Elisabeth is playing a game. If Jessica were an electrician, then Mary is making tea. If Elisabeth plays a game, then Karen is driving a car. Karen is driving a car if and only if Jessica is an electrician. Mary is not making tea. Can we infer the following from them? If we can, name the inference rule being used: Elisabeth is playing a game.
 From the fact that if Jessica were an electrician, then Mary is making tea, and that Mary is not making tea we can infer that Jessica is not an electrician via modus tollens. From the fact that Karen is driving a car if and only if Jessica is an electrician, and that Jessica is not an electrician we can infer that Karen is not driving a car via biconditional elimination. From the fact that Karen is driving a car if and only if Elisabeth is playing a game we can infer that if Karen drives a car, then Elisabeth is playing a game via biconditional elimination. From the fact that if Karen drives a car, then Elisabeth is playing a game, and that if Elisabeth plays a game, then Karen is driving a car we can infer that Karen is driving a car if and only if Elisabeth is playing a game via biconditional introduction. Finally, from the fact that Karen is driving a car if and only if Elisabeth is playing a game, and that Karen is not driving a car we can infer that Elisabeth is not playing a game via biconditional elimination, which contradicts that Elisabeth is playing a game. Therefore, the answer is no.