Consider the following premises. For all x_8, x_8 will drive a car. For all x_8, if x_8 were a police officer, then x_8 is climbing a mountain. For all x_8, if x_8 drives a car, then x_8 is a police officer. For all x_8, x_8 is sad. Can we infer the following from them? If we can, name the inference rule being used: Linda is climbing a mountain.
 From the fact that for all x_8, if x_8 drives a car, then x_8 is a police officer, and that for all x_8, if x_8 were a police officer, then x_8 is climbing a mountain we can infer that for all x_8, if x_8 drives a car, then x_8 is climbing a mountain via universal transitivity. From the fact that for all x_8, if x_8 drives a car, then x_8 is climbing a mountain, and that for all x_8, x_8 will drive a car we can infer that for all x_8, x_8 will climb a mountain via universal modus ponens. From the fact that for all x_8, x_8 will climb a mountain, and that for all x_8, x_8 is sad we can infer that for all x_8, x_8 will climb a mountain and x_8 is sad via universal conjunction. From the fact that for all x_8, x_8 will climb a mountain and x_8 is sad we can infer that Linda is climbing a mountain and Linda is sad via universal instantiation. Finally, from the fact that Linda is climbing a mountain and Linda is sad we can infer that Linda is climbing a mountain via simplification. Therefore, the answer is yes.