Consider the following premises. For all x_7, x_7 is a soldier and x_7 is a sailor. For all x_7, if x_7 were a soldier, then x_7 is a nurse. Can we infer the following from them? There is at least one x_7 for which neither x_7 is a nurse nor x_7 is an astronaut.
 From the fact that for all x_7, x_7 is a soldier and x_7 is a sailor we can infer that for all x_7, x_7 is a soldier. From the fact that for all x_7, if x_7 were a soldier, then x_7 is a nurse, and that for all x_7, x_7 is a soldier we can infer that for all x_7, x_7 is a nurse. Finally, from the fact that for all x_7, x_7 is a nurse we can infer that for all x_7, x_7 is a nurse or x_7 is an astronaut, which contradicts that There is at least one x_7 for which neither x_7 is a nurse nor x_7 is an astronaut. Therefore, the answer is no.