Consider the following premises. Linda is a nurse or it is cold. For all x_15, x_15 will not play tennis. For all x_15, if x_15 were a nurse, then x_15 is not a taxi driver. For all x_15, x_15 will play tennis or x_15 is an office clerk. For all x_15, if x_15 were an office clerk, then x_15 is a taxi driver. Can we infer the following from them? If we can, name the inference rule being used: It is cold.
 From the fact that for all x_15, x_15 will play tennis or x_15 is an office clerk, and that for all x_15, x_15 will not play tennis we can infer that for all x_15, x_15 is an office clerk via universal disjunctive syllogism. From the fact that for all x_15, if x_15 were an office clerk, then x_15 is a taxi driver, and that for all x_15, x_15 is an office clerk we can infer that for all x_15, x_15 is a taxi driver via universal modus ponens. From the fact that for all x_15, if x_15 were a nurse, then x_15 is not a taxi driver, and that for all x_15, x_15 is a taxi driver we can infer that for all x_15, x_15 is not a nurse via universal modus tollens. From the fact that for all x_15, x_15 is not a nurse we can infer that Linda is not a nurse via universal instantiation. Finally, from the fact that Linda is a nurse or it is cold, and that Linda is not a nurse we can infer that it is cold via disjunctive syllogism. Therefore, the answer is yes.