Consider the following premises. For all y_2, if y_2 were a soldier, then y_2 is happy. For all y_2, y_2 is not a soldier. There is at least one y_2 for which y_2 is happy if and only if y_2 is an electrician. For all y_2, if y_2 were happy, then y_2 is a soldier. Can we infer the following from them? For all y_2, y_2 is an electrician.
 From the fact that for all y_2, if y_2 were a soldier, then y_2 is happy, and that for all y_2, if y_2 were happy, then y_2 is a soldier we can infer that for all y_2, y_2 is a soldier if and only if y_2 is happy. From the fact that for all y_2, y_2 is a soldier if and only if y_2 is happy, and that for all y_2, y_2 is not a soldier we can infer that for all y_2, y_2 is not happy. Finally, from the fact that there is at least one y_2 for which y_2 is happy if and only if y_2 is an electrician, and that for all y_2, y_2 is not happy we can infer that there is at least one y_2 for which y_2 is not an electrician, which contradicts that For all y_2, y_2 is an electrician. Therefore, the answer is no.