Consider the following premises. If James were a writer, then David is a carpenter. For all x_14, if x_14 climbs a mountain, then x_14 is a writer. James is climbing a mountain. Can we infer the following from them? If we can, name the inference rule being used: David is a carpenter.
 From the fact that for all x_14, if x_14 climbs a mountain, then x_14 is a writer we can infer that if James climbs a mountain, then James is a writer via universal instantiation. From the fact that if James climbs a mountain, then James is a writer, and that James is climbing a mountain we can infer that James is a writer via modus ponens. Finally, from the fact that if James were a writer, then David is a carpenter, and that James is a writer we can infer that David is a carpenter via modus ponens. Therefore, the answer is yes.