Consider the following premises. For all x_10, if x_10 plays squash, then x_10 is excited. For all x_10, if x_10 writes a letter, then x_10 is playing squash. For all x_10, x_10 is a police officer if and only if x_10 is excited. For all x_10, if x_10 were a police officer, then x_10 is not a politician. For all x_10, if x_10 were excited, then x_10 is writing a letter. For all x_10, x_10 is a politician. Can we infer the following from them? For all x_10, x_10 will not play squash.
 From the fact that for all x_10, if x_10 were excited, then x_10 is writing a letter, and that for all x_10, if x_10 writes a letter, then x_10 is playing squash we can infer that for all x_10, if x_10 were excited, then x_10 is playing squash. From the fact that for all x_10, if x_10 were a police officer, then x_10 is not a politician, and that for all x_10, x_10 is a politician we can infer that for all x_10, x_10 is not a police officer. From the fact that for all x_10, if x_10 were excited, then x_10 is playing squash, and that for all x_10, if x_10 plays squash, then x_10 is excited we can infer that for all x_10, x_10 is excited if and only if x_10 will play squash. From the fact that for all x_10, x_10 is a police officer if and only if x_10 is excited, and that for all x_10, x_10 is not a police officer we can infer that for all x_10, x_10 is not excited. Finally, from the fact that for all x_10, x_10 is excited if and only if x_10 will play squash, and that for all x_10, x_10 is not excited we can infer that for all x_10, x_10 will not play squash. Therefore, the answer is yes.