Consider the following premises. For all x_2, if x_2 makes tea, then x_2 is happy. There is at least one x_2 for which if x_2 were an office clerk, then x_2 is making tea. For all x_2, if x_2 were happy, then x_2 is an office clerk. Can we infer the following from them? There is at least one x_2 for which x_2 will make tea if and only if x_2 is happy.
 From the fact that for all x_2, if x_2 were happy, then x_2 is an office clerk, and that there is at least one x_2 for which if x_2 were an office clerk, then x_2 is making tea we can infer that there is at least one x_2 for which if x_2 were happy, then x_2 is making tea. Finally, from the fact that for all x_2, if x_2 makes tea, then x_2 is happy, and that there is at least one x_2 for which if x_2 were happy, then x_2 is making tea we can infer that there is at least one x_2 for which x_2 will make tea if and only if x_2 is happy. Therefore, the answer is yes.