Consider the following premises. For all x_10, x_10 will play tennis or x_10 will listen to a song. There is at least one x_10 for which x_10 is not bored. For all x_10, if x_10 plays tennis, then x_10 is a cashier. For all x_10, if x_10 were a cashier, then x_10 is bored. Can we infer the following from them? If we can, name the inference rule being used: For all x_10, if x_10 plays tennis, then x_10 is a cashier.
That is one of the premises. Therefore, the answer is yes.