Consider the following premises. For all x_12, if x_12 were rich, then x_12 is playing tennis. For all x_12, x_12 will play tennis if and only if x_12 is a soldier. There is at least one x_12 for which x_12 is a soldier if and only if x_12 is rich. Can we infer the following from them? If we can, name the inference rule being used: For all x_12, if x_12 were rich, then x_12 is playing tennis.
That is one of the premises. Therefore, the answer is yes.