Consider the following premises. For all x_8, if x_8 were rich, then x_8 is cooking. For all x_8, if x_8 were fast, then x_8 is happy. For all x_8, x_8 is rich. For all x_8, if x_8 were a writer, then x_8 is happy. For all x_8, x_8 is fast or x_8 is a writer. Can we infer the following from them? For all x_8, x_8 is happy and x_8 will cook.
 From the fact that for all x_8, if x_8 were fast, then x_8 is happy, that for all x_8, if x_8 were a writer, then x_8 is happy, and that for all x_8, x_8 is fast or x_8 is a writer we can infer that for all x_8, x_8 is happy. From the fact that for all x_8, if x_8 were rich, then x_8 is cooking, and that for all x_8, x_8 is rich we can infer that for all x_8, x_8 will cook. Finally, from the fact that for all x_8, x_8 is happy, and that for all x_8, x_8 will cook we can infer that for all x_8, x_8 is happy and x_8 will cook. Therefore, the answer is yes.