Consider the following premises. For all x_4, x_4 will not play squash. There is at least one x_4 for which x_4 is not fast or x_4 is a lawyer. For all x_4, if x_4 were a bartender, then x_4 is playing squash. For all x_4, x_4 is fast or x_4 is a bartender. Can we infer the following from them? For all x_4, x_4 is not a lawyer.
 From the fact that for all x_4, if x_4 were a bartender, then x_4 is playing squash, and that for all x_4, x_4 will not play squash we can infer that for all x_4, x_4 is not a bartender. From the fact that for all x_4, x_4 is fast or x_4 is a bartender, and that there is at least one x_4 for which x_4 is not fast or x_4 is a lawyer we can infer that there is at least one x_4 for which x_4 is a bartender or x_4 is a lawyer. Finally, from the fact that there is at least one x_4 for which x_4 is a bartender or x_4 is a lawyer, and that for all x_4, x_4 is not a bartender we can infer that there is at least one x_4 for which x_4 is a lawyer, which contradicts that For all x_4, x_4 is not a lawyer. Therefore, the answer is no.