Consider the following premises. For all y_3, if y_3 were curious, then y_3 is cooking. For all y_3, y_3 will make tea or y_3 will not cook. For all y_3, if y_3 makes tea, then y_3 is curious. Can we infer the following from them? For all y_3, y_3 will make tea if and only if y_3 will cook.
 From the fact that for all y_3, y_3 will make tea or y_3 will not cook we can infer that for all y_3, if y_3 cooks, then y_3 is making tea. From the fact that for all y_3, if y_3 makes tea, then y_3 is curious, and that for all y_3, if y_3 were curious, then y_3 is cooking we can infer that for all y_3, if y_3 makes tea, then y_3 is cooking. Finally, from the fact that for all y_3, if y_3 makes tea, then y_3 is cooking, and that for all y_3, if y_3 cooks, then y_3 is making tea we can infer that for all y_3, y_3 will make tea if and only if y_3 will cook. Therefore, the answer is yes.