Consider the following premises. For all x_5, if x_5 plays tennis, then x_5 is fast. For all x_5, if x_5 were fast, then x_5 is cooking. There is at least one x_5 for which x_5 will play tennis or x_5 will cook. For all x_5, if x_5 cooks, then x_5 is fast. Can we infer the following from them? For all x_5, x_5 is not fast.
 From the fact that for all x_5, if x_5 cooks, then x_5 is fast, and that for all x_5, if x_5 were fast, then x_5 is cooking we can infer that for all x_5, x_5 will cook if and only if x_5 is fast. From the fact that for all x_5, x_5 will cook if and only if x_5 is fast we can infer that for all x_5, if x_5 cooks, then x_5 is fast. Finally, from the fact that for all x_5, if x_5 plays tennis, then x_5 is fast, that for all x_5, if x_5 cooks, then x_5 is fast, and that there is at least one x_5 for which x_5 will play tennis or x_5 will cook we can infer that there is at least one x_5 for which x_5 is fast, which contradicts that For all x_5, x_5 is not fast. Therefore, the answer is no.