Consider the following premises. For all y, if y plays tennis, then y is an artist. For all y, y is not sad. For all y, if y were an artist, then y is sad. For all y, if y were sad, then y is playing tennis. For all y, if y were sad, then y is an artist. Can we infer the following from them? If we can, name the inference rule being used: For all y, if y were sad, then y is playing tennis.
That is one of the premises. Therefore, the answer is yes.