Consider the following premises. There is at least one x_4 for which if x_4 were an artist, then x_4 is fast. For all x_4, x_4 is an artist if and only if x_4 is fast. For all x_4, x_4 is fast if and only if x_4 is a nurse. For all x_4, x_4 is not a nurse. Can we infer the following from them? For all x_4, x_4 is an artist if and only if x_4 is fast.
That is one of the premises. Therefore, the answer is yes.