Consider the following premises. Michael is an astronaut if and only if Jennifer is climbing a mountain. If it is cold, then Jennifer is climbing a mountain. If Michael were an astronaut, then Richard is not sleeping. Richard is sleeping. Can we infer the following from them? It is not cold.
 From the fact that if Michael were an astronaut, then Richard is not sleeping, and that Richard is sleeping we can infer that Michael is not an astronaut. From the fact that Michael is an astronaut if and only if Jennifer is climbing a mountain, and that Michael is not an astronaut we can infer that Jennifer is not climbing a mountain. Finally, from the fact that if it is cold, then Jennifer is climbing a mountain, and that Jennifer is not climbing a mountain we can infer that it is not cold. Therefore, the answer is yes.