Consider the following premises. Barbara is reading a book if and only if Linda is taking a plane. If it is late, then Linda is taking a plane. If Susan climbs a mountain, then it is late. Barbara is not reading a book. Can we infer the following from them? If we can, name the inference rule being used: Susan is climbing a mountain.
 From the fact that Barbara is reading a book if and only if Linda is taking a plane, and that Barbara is not reading a book we can infer that Linda is not taking a plane via biconditional elimination. From the fact that if it is late, then Linda is taking a plane, and that Linda is not taking a plane we can infer that it is not late via modus tollens. Finally, from the fact that if Susan climbs a mountain, then it is late, and that it is not late we can infer that Susan is not climbing a mountain via modus tollens, which contradicts that Susan is climbing a mountain. Therefore, the answer is no.