Consider the following premises. For all x_5, if x_5 were a lawyer, then x_5 is making tea. There is at least one x_5 for which if x_5 were a doctor, then x_5 is a lawyer. For all x_5, if x_5 makes tea, then x_5 is a lawyer. Can we infer the following from them? There is at least one x_5 for which if x_5 were a doctor, then x_5 is making tea.
 From the fact that for all x_5, if x_5 makes tea, then x_5 is a lawyer, and that for all x_5, if x_5 were a lawyer, then x_5 is making tea we can infer that for all x_5, x_5 will make tea if and only if x_5 is a lawyer. From the fact that for all x_5, x_5 will make tea if and only if x_5 is a lawyer we can infer that for all x_5, if x_5 were a lawyer, then x_5 is making tea. Finally, from the fact that there is at least one x_5 for which if x_5 were a doctor, then x_5 is a lawyer, and that for all x_5, if x_5 were a lawyer, then x_5 is making tea we can infer that there is at least one x_5 for which if x_5 were a doctor, then x_5 is making tea. Therefore, the answer is yes.