Consider the following premises. For all x_7, x_7 will climb a mountain. For all x_7, x_7 will play tennis if and only if x_7 is an artist. For all x_7, if x_7 were a writer, then x_7 is an artist. For all x_7, if x_7 were an artist, then x_7 is a writer. For all x_7, if x_7 plays tennis, then x_7 is not climbing a mountain. Can we infer the following from them? For all x_7, x_7 is not a writer.
 From the fact that for all x_7, if x_7 plays tennis, then x_7 is not climbing a mountain, and that for all x_7, x_7 will climb a mountain we can infer that for all x_7, x_7 will not play tennis. From the fact that for all x_7, if x_7 were a writer, then x_7 is an artist, and that for all x_7, if x_7 were an artist, then x_7 is a writer we can infer that for all x_7, x_7 is a writer if and only if x_7 is an artist. From the fact that for all x_7, x_7 will play tennis if and only if x_7 is an artist, and that for all x_7, x_7 will not play tennis we can infer that for all x_7, x_7 is not an artist. Finally, from the fact that for all x_7, x_7 is a writer if and only if x_7 is an artist, and that for all x_7, x_7 is not an artist we can infer that for all x_7, x_7 is not a writer. Therefore, the answer is yes.