Consider the following premises. For all x_7, x_7 is poor or x_7 is fast. For all x_7, x_7 is a mechanic or x_7 is not poor. For all x_7, if x_7 cooks, then x_7 is a mechanic. There is at least one x_7 for which if x_7 were fast, then x_7 is cooking. Can we infer the following from them? For all x_7, x_7 is not a mechanic.
 From the fact that for all x_7, x_7 is a mechanic or x_7 is not poor we can infer that for all x_7, if x_7 were poor, then x_7 is a mechanic. From the fact that there is at least one x_7 for which if x_7 were fast, then x_7 is cooking, and that for all x_7, if x_7 cooks, then x_7 is a mechanic we can infer that there is at least one x_7 for which if x_7 were fast, then x_7 is a mechanic. Finally, from the fact that for all x_7, if x_7 were poor, then x_7 is a mechanic, that there is at least one x_7 for which if x_7 were fast, then x_7 is a mechanic, and that for all x_7, x_7 is poor or x_7 is fast we can infer that there is at least one x_7 for which x_7 is a mechanic, which contradicts that For all x_7, x_7 is not a mechanic. Therefore, the answer is no.