Consider the following premises. For all x_9, x_9 will work if and only if x_9 will cook. For all x_9, x_9 will cook if and only if x_9 will play tennis. There is at least one x_9 for which if x_9 plays tennis, then x_9 is making tea. For all x_9, x_9 will not make tea. Can we infer the following from them? There is at least one x_9 for which if x_9 plays tennis, then x_9 is making tea.
That is one of the premises. Therefore, the answer is yes.