Consider the following premises. For all z, z is an astronaut or z will not sleep. Patricia is sleeping. Can we infer the following from them? There is at least one z for which z is an astronaut.
 From the fact that for all z, z is an astronaut or z will not sleep we can infer that for all z, if z sleeps, then z is an astronaut. From the fact that Patricia is sleeping we can infer that there is at least one z for which z will sleep. Finally, from the fact that for all z, if z sleeps, then z is an astronaut, and that there is at least one z for which z will sleep we can infer that there is at least one z for which z is an astronaut. Therefore, the answer is yes.