Consider the following premises. Susan is not a nurse. For all x_10, x_10 is a police officer or x_10 is an astronaut. If Susan were a nurse, then Linda is a police officer. If Linda were a police officer, then Susan is a nurse. Can we infer the following from them? Linda is not an astronaut.
 From the fact that for all x_10, x_10 is a police officer or x_10 is an astronaut we can infer that Linda is a police officer or Linda is an astronaut. From the fact that if Susan were a nurse, then Linda is a police officer, and that if Linda were a police officer, then Susan is a nurse we can infer that Susan is a nurse if and only if Linda is a police officer. From the fact that Susan is a nurse if and only if Linda is a police officer, and that Susan is not a nurse we can infer that Linda is not a police officer. Finally, from the fact that Linda is a police officer or Linda is an astronaut, and that Linda is not a police officer we can infer that Linda is an astronaut, which contradicts that Linda is not an astronaut. Therefore, the answer is no.