Consider the following premises. For all x_16, if x_16 were a politician, then x_16 is making tea. For all x_16, if x_16 were a musician, then x_16 is playing tennis. There is at least one x_16 for which if x_16 listens to a song, then x_16 is playing tennis. For all x_16, x_16 is a musician or x_16 will listen to a song. For all x_16, if x_16 makes tea, then x_16 is not playing tennis. Can we infer the following from them? For all x_16, if x_16 makes tea, then x_16 is not playing tennis.
That is one of the premises. Therefore, the answer is yes.