Consider the following premises. Elisabeth is playing tennis. If Elisabeth plays tennis, then it is windy. If it is windy, then Jennifer is playing a game. Can we infer the following from them? If we can, name the inference rule being used: Jennifer is not playing a game.
 From the fact that if Elisabeth plays tennis, then it is windy, and that if it is windy, then Jennifer is playing a game we can infer that if Elisabeth plays tennis, then Jennifer is playing a game via transitivity. Finally, from the fact that if Elisabeth plays tennis, then Jennifer is playing a game, and that Elisabeth is playing tennis we can infer that Jennifer is playing a game via modus ponens, which contradicts that Jennifer is not playing a game. Therefore, the answer is no.