Consider the following premises. For all x_8, x_8 will climb a mountain if and only if x_8 will read a book. For all x_8, if x_8 climbs a mountain, then x_8 is a doctor. For all x_8, if x_8 were a politician, then x_8 is reading a book. Can we infer the following from them? For all x_8, if x_8 were a politician, then x_8 is a doctor.
 From the fact that for all x_8, x_8 will climb a mountain if and only if x_8 will read a book we can infer that for all x_8, if x_8 reads a book, then x_8 is climbing a mountain. From the fact that for all x_8, if x_8 reads a book, then x_8 is climbing a mountain, and that for all x_8, if x_8 climbs a mountain, then x_8 is a doctor we can infer that for all x_8, if x_8 reads a book, then x_8 is a doctor. Finally, from the fact that for all x_8, if x_8 were a politician, then x_8 is reading a book, and that for all x_8, if x_8 reads a book, then x_8 is a doctor we can infer that for all x_8, if x_8 were a politician, then x_8 is a doctor. Therefore, the answer is yes.