Consider the following premises. If it is windy, then John is fast. Thomas is a musician. If Thomas were a musician, then it is windy. If Charles climbs a mountain, then John is fast. If it is windy, then Thomas is a musician. Can we infer the following from them? If we can, name the inference rule being used: John is fast.
 From the fact that if it is windy, then Thomas is a musician, and that if Thomas were a musician, then it is windy we can infer that it is windy if and only if Thomas is a musician via biconditional introduction. From the fact that it is windy if and only if Thomas is a musician we can infer that if Thomas were a musician, then it is windy via biconditional elimination. From the fact that if Thomas were a musician, then it is windy, and that if it is windy, then John is fast we can infer that if Thomas were a musician, then John is fast via transitivity. From the fact that Thomas is a musician we can infer that Thomas is a musician or Charles is climbing a mountain via addition. Finally, from the fact that if Thomas were a musician, then John is fast, that if Charles climbs a mountain, then John is fast, and that Thomas is a musician or Charles is climbing a mountain we can infer that John is fast via disjunction elimination. Therefore, the answer is yes.