Consider the following premises. For all x_14, x_14 is not rich or x_14 is curious. For all x_14, if x_14 were curious, then x_14 is listening to a song. There is at least one x_14 for which x_14 is rich or x_14 is a politician. For all x_14, x_14 will listen to a song or x_14 is not a politician. Can we infer the following from them? If we can, name the inference rule being used: For all x_14, if x_14 were curious, then x_14 is listening to a song.
That is one of the premises. Therefore, the answer is yes.