Consider the following premises. For all x_1, x_1 is a doctor if and only if x_1 is an artist. There is at least one x_1 for which x_1 is an artist if and only if x_1 is a lawyer. Can we infer the following from them? For all x_1, the fact that x_1 were a doctor does not imply that x_1 is a lawyer.
That contradicts the premises. Therefore the answer is no.