Consider the following premises. There is at least one x_13 for which x_13 is an astronaut or x_13 will make tea. For all x_13, x_13 will cook. For all x_13, if x_13 were an astronaut, then x_13 is a lawyer. For all x_13, x_13 is a lawyer if and only if x_13 will make tea. Can we infer the following from them? There is at least one x_13 for which x_13 will cook and x_13 is a lawyer.
 From the fact that for all x_13, x_13 is a lawyer if and only if x_13 will make tea we can infer that for all x_13, if x_13 makes tea, then x_13 is a lawyer. From the fact that for all x_13, if x_13 were an astronaut, then x_13 is a lawyer, that for all x_13, if x_13 makes tea, then x_13 is a lawyer, and that there is at least one x_13 for which x_13 is an astronaut or x_13 will make tea we can infer that there is at least one x_13 for which x_13 is a lawyer. Finally, from the fact that for all x_13, x_13 will cook, and that there is at least one x_13 for which x_13 is a lawyer we can infer that there is at least one x_13 for which x_13 will cook and x_13 is a lawyer. Therefore, the answer is yes.