Consider the following premises. It is cold. For all x_13, x_13 will read a book if and only if x_13 will listen to a song. If it is cold, then Linda is reading a book. Can we infer the following from them? If we can, name the inference rule being used: Linda is not listening to a song.
 From the fact that for all x_13, x_13 will read a book if and only if x_13 will listen to a song we can infer that for all x_13, if x_13 reads a book, then x_13 is listening to a song via universal biconditional elimination. From the fact that for all x_13, if x_13 reads a book, then x_13 is listening to a song we can infer that if Linda reads a book, then Linda is listening to a song via universal instantiation. From the fact that if it is cold, then Linda is reading a book, and that if Linda reads a book, then Linda is listening to a song we can infer that if it is cold, then Linda is listening to a song via transitivity. Finally, from the fact that if it is cold, then Linda is listening to a song, and that it is cold we can infer that Linda is listening to a song via modus ponens, which contradicts that Linda is not listening to a song. Therefore, the answer is no.