Consider the following premises. For all x_10, if x_10 were a lawyer, then x_10 is cooking. For all x_10, if x_10 cooks, then x_10 is an electrician. For all x_10, if x_10 cooks, then x_10 is a lawyer. There is at least one x_10 for which x_10 is a lawyer or x_10 is an electrician. For all x_10, if x_10 were an electrician, then x_10 is cooking. Can we infer the following from them? There is at least one x_10 for which x_10 will cook.
 From the fact that for all x_10, if x_10 were a lawyer, then x_10 is cooking, and that for all x_10, if x_10 cooks, then x_10 is a lawyer we can infer that for all x_10, x_10 is a lawyer if and only if x_10 will cook. From the fact that for all x_10, if x_10 cooks, then x_10 is an electrician, and that for all x_10, if x_10 were an electrician, then x_10 is cooking we can infer that for all x_10, x_10 will cook if and only if x_10 is an electrician. From the fact that for all x_10, x_10 is a lawyer if and only if x_10 will cook we can infer that for all x_10, if x_10 were a lawyer, then x_10 is cooking. From the fact that for all x_10, x_10 will cook if and only if x_10 is an electrician we can infer that for all x_10, if x_10 were an electrician, then x_10 is cooking. Finally, from the fact that for all x_10, if x_10 were a lawyer, then x_10 is cooking, that for all x_10, if x_10 were an electrician, then x_10 is cooking, and that there is at least one x_10 for which x_10 is a lawyer or x_10 is an electrician we can infer that there is at least one x_10 for which x_10 will cook. Therefore, the answer is yes.