Consider the following premises. For all x_11, x_11 will play tennis if and only if x_11 is a poet. For all x_11, if x_11 plays a game, then x_11 is cooking. For all x_11, if x_11 were a poet, then x_11 is playing a game. There is at least one x_11 for which if x_11 were a taxi driver, then x_11 is playing tennis. Can we infer the following from them? There is at least one x_11 for which if x_11 were a taxi driver, then x_11 is cooking.
 From the fact that for all x_11, x_11 will play tennis if and only if x_11 is a poet we can infer that for all x_11, if x_11 plays tennis, then x_11 is a poet. From the fact that for all x_11, if x_11 plays tennis, then x_11 is a poet, and that for all x_11, if x_11 were a poet, then x_11 is playing a game we can infer that for all x_11, if x_11 plays tennis, then x_11 is playing a game. From the fact that for all x_11, if x_11 plays tennis, then x_11 is playing a game, and that for all x_11, if x_11 plays a game, then x_11 is cooking we can infer that for all x_11, if x_11 plays tennis, then x_11 is cooking. Finally, from the fact that there is at least one x_11 for which if x_11 were a taxi driver, then x_11 is playing tennis, and that for all x_11, if x_11 plays tennis, then x_11 is cooking we can infer that there is at least one x_11 for which if x_11 were a taxi driver, then x_11 is cooking. Therefore, the answer is yes.