Consider the following premises. If Barbara plays a game, then James is driving a car. If James drives a car, then Richard is a musician. Robert is a sailor if and only if Barbara is playing a game. Can we infer the following from them? If we can, name the inference rule being used: The fact that Robert were a sailor does not imply that Richard is a musician.
 From the fact that if Barbara plays a game, then James is driving a car, and that if James drives a car, then Richard is a musician we can infer that if Barbara plays a game, then Richard is a musician via transitivity. From the fact that Robert is a sailor if and only if Barbara is playing a game we can infer that if Robert were a sailor, then Barbara is playing a game via biconditional elimination. Finally, from the fact that if Robert were a sailor, then Barbara is playing a game, and that if Barbara plays a game, then Richard is a musician we can infer that if Robert were a sailor, then Richard is a musician via transitivity, which contradicts that The fact that Robert were a sailor does not imply that Richard is a musician. Therefore, the answer is no.