Consider the following premises. For all x_13, if x_13 were poor, then x_13 is playing tennis. For all x_13, x_13 is a taxi driver or x_13 will not play tennis. There is at least one x_13 for which x_13 will work or x_13 is poor. For all x_13, if x_13 works, then x_13 is playing tennis. Can we infer the following from them? If we can, name the inference rule being used: For all x_13, if x_13 were poor, then x_13 is playing tennis.
That is one of the premises. Therefore, the answer is yes.