Consider the following premises. For all x_6, if x_6 were rich, then x_6 is driving a car. For all x_6, if x_6 plays squash, then x_6 is a lawyer. There is at least one x_6 for which if x_6 drives a car, then x_6 is playing squash. For all x_6, if x_6 were a lawyer, then x_6 is cooking. Can we infer the following from them? For all x_6, if x_6 were a lawyer, then x_6 is cooking.
That is one of the premises. Therefore, the answer is yes.