Consider the following premises. For all x_2, if x_2 writes a letter, then x_2 is taking a plane. For all x_2, if x_2 were poor, then x_2 is writing a letter. For all x_2, if x_2 takes a plane, then x_2 is poor. Can we infer the following from them? If we can, name the inference rule being used: For all x_2, if x_2 takes a plane, then x_2 is poor.
That is one of the premises. Therefore, the answer is yes.