Consider the following premises. If Thomas were poor, then Sarah is not driving a car. Sarah is driving a car. Joseph is not a lawyer. Joseph is a lawyer or it is cold. Can we infer the following from them? If we can, name the inference rule being used: It is cold.
 From the fact that if Thomas were poor, then Sarah is not driving a car, and that Sarah is driving a car we can infer that Thomas is not poor via modus tollens. Finally, from the fact that Joseph is a lawyer or it is cold, and that Joseph is not a lawyer we can infer that it is cold via disjunctive syllogism. Therefore, the answer is yes.