Consider the following premises. For all y, if y writes a letter, then y is cooking. There is at least one y for which y is rich. For all y, y will write a letter or y will take a plane. For all y, if y takes a plane, then y is cooking. Can we infer the following from them? If we can, name the inference rule being used: For all y, y will write a letter or y will take a plane.
That is one of the premises. Therefore, the answer is yes.