Consider the following premises. If Linda were a police officer, then it is late. If it is sunny, then it is cold. If it is cold, then it is late. Linda is not a police officer. If it is late, then Linda is a police officer. Can we infer the following from them? If we can, name the inference rule being used: It is sunny.
 From the fact that if it is sunny, then it is cold, and that if it is cold, then it is late we can infer that if it is sunny, then it is late via transitivity. From the fact that if Linda were a police officer, then it is late, and that if it is late, then Linda is a police officer we can infer that Linda is a police officer if and only if it is late via biconditional introduction. From the fact that Linda is a police officer if and only if it is late, and that Linda is not a police officer we can infer that it is not late via biconditional elimination. Finally, from the fact that if it is sunny, then it is late, and that it is not late we can infer that it is not sunny via modus tollens, which contradicts that It is sunny. Therefore, the answer is no.