Consider the following premises. For all x_10, if x_10 were poor, then x_10 is cooking. For all x_10, x_10 will cook or x_10 is not poor. There is at least one x_10 for which if x_10 cooks, then x_10 is poor. Can we infer the following from them? For all x_10, x_10 will cook or x_10 is not poor.
That is one of the premises. Therefore, the answer is yes.