Consider the following premises. For all x_5, x_5 will work or x_5 will not play tennis. For all x_5, if x_5 climbs a mountain, then x_5 is making tea. For all x_5, if x_5 makes tea, then x_5 is playing tennis. Can we infer the following from them? For all x_5, if x_5 climbs a mountain, then x_5 is making tea.
That is one of the premises. Therefore, the answer is yes.