Consider the following premises. Patricia is climbing a mountain if and only if Michael is listening to a song. For all x_8, x_8 will make tea or x_8 will listen to a song. If Michael makes tea, then Patricia is climbing a mountain. Can we infer the following from them? Patricia is climbing a mountain.
 From the fact that for all x_8, x_8 will make tea or x_8 will listen to a song we can infer that Michael is making tea or Michael is listening to a song. From the fact that Patricia is climbing a mountain if and only if Michael is listening to a song we can infer that if Michael listens to a song, then Patricia is climbing a mountain. Finally, from the fact that if Michael makes tea, then Patricia is climbing a mountain, that if Michael listens to a song, then Patricia is climbing a mountain, and that Michael is making tea or Michael is listening to a song we can infer that Patricia is climbing a mountain. Therefore, the answer is yes.