Consider the following premises. For all x_11, x_11 will play tennis or x_11 will climb a mountain. For all x_11, x_11 will not play tennis. For all x_11, if x_11 climbs a mountain, then x_11 is making tea. There is at least one x_11 for which if x_11 makes tea, then x_11 is climbing a mountain. Can we infer the following from them? There is at least one x_11 for which x_11 will make tea.
 From the fact that for all x_11, if x_11 climbs a mountain, then x_11 is making tea, and that there is at least one x_11 for which if x_11 makes tea, then x_11 is climbing a mountain we can infer that there is at least one x_11 for which x_11 will climb a mountain if and only if x_11 will make tea. From the fact that there is at least one x_11 for which x_11 will climb a mountain if and only if x_11 will make tea we can infer that there is at least one x_11 for which if x_11 climbs a mountain, then x_11 is making tea. From the fact that for all x_11, x_11 will play tennis or x_11 will climb a mountain, and that for all x_11, x_11 will not play tennis we can infer that for all x_11, x_11 will climb a mountain. Finally, from the fact that there is at least one x_11 for which if x_11 climbs a mountain, then x_11 is making tea, and that for all x_11, x_11 will climb a mountain we can infer that there is at least one x_11 for which x_11 will make tea. Therefore, the answer is yes.