Consider the following premises. For all x_15, if x_15 climbs a mountain, then x_15 is reading a book. Jessica is not driving a car. Elisabeth is reading a book if and only if Jessica is driving a car. Jessica is playing a game if and only if Elisabeth is climbing a mountain. Can we infer the following from them? If we can, name the inference rule being used: Jessica is playing a game.
 From the fact that for all x_15, if x_15 climbs a mountain, then x_15 is reading a book we can infer that if Elisabeth climbs a mountain, then Elisabeth is reading a book via universal instantiation. From the fact that Elisabeth is reading a book if and only if Jessica is driving a car, and that Jessica is not driving a car we can infer that Elisabeth is not reading a book via biconditional elimination. From the fact that if Elisabeth climbs a mountain, then Elisabeth is reading a book, and that Elisabeth is not reading a book we can infer that Elisabeth is not climbing a mountain via modus tollens. Finally, from the fact that Jessica is playing a game if and only if Elisabeth is climbing a mountain, and that Elisabeth is not climbing a mountain we can infer that Jessica is not playing a game via biconditional elimination, which contradicts that Jessica is playing a game. Therefore, the answer is no.