Consider the following premises. Michael is not a scientist. If Sarah plays a game, then Michael is a scientist. If Thomas were an artist, then Sarah is playing a game. If Sarah plays a game, then Thomas is an artist. Can we infer the following from them? If we can, name the inference rule being used: Thomas is an artist.
 From the fact that if Sarah plays a game, then Michael is a scientist, and that Michael is not a scientist we can infer that Sarah is not playing a game via modus tollens. From the fact that if Sarah plays a game, then Thomas is an artist, and that if Thomas were an artist, then Sarah is playing a game we can infer that Sarah is playing a game if and only if Thomas is an artist via biconditional introduction. Finally, from the fact that Sarah is playing a game if and only if Thomas is an artist, and that Sarah is not playing a game we can infer that Thomas is not an artist via biconditional elimination, which contradicts that Thomas is an artist. Therefore, the answer is no.