Consider the following premises. For all x, if x listens to a song, then x is reading a book. For all x, if x works, then x is making tea. For all x, if x makes tea, then x is listening to a song. There is at least one x for which x will work if and only if x will read a book. Can we infer the following from them? If we can, name the inference rule being used: For all x, if x listens to a song, then x is reading a book.
That is one of the premises. Therefore, the answer is yes.