Consider the following premises. For all x_14, if x_14 were a poet, then x_14 is a politician. For all x_14, x_14 will listen to a song. There is at least one x_14 for which x_14 will play a game or x_14 is a poet. For all x_14, if x_14 plays a game, then x_14 is a politician. For all x_14, x_14 will drive a car. Can we infer the following from them? If we can, name the inference rule being used: For all x_14, if x_14 were a poet, then x_14 is a politician.
That is one of the premises. Therefore, the answer is yes.