Consider the following premises. For all x_7, x_7 is bored or x_7 will not listen to a song. For all x_7, if x_7 were a musician, then x_7 is listening to a song. There is at least one x_7 for which x_7 is a musician. Can we infer the following from them? If we can, name the inference rule being used: For all x_7, x_7 is bored or x_7 will not listen to a song.
That is one of the premises. Therefore, the answer is yes.