Consider the following premises. For all x_6, x_6 is a scientist or x_6 is not excited. For all x_6, x_6 will write a letter or x_6 is excited. For all x_6, if x_6 writes a letter, then x_6 is a police officer. There is at least one x_6 for which if x_6 were a police officer, then x_6 is a scientist. Can we infer the following from them? For all x_6, x_6 is a scientist or x_6 is not excited.
That is one of the premises. Therefore, the answer is yes.