Consider the following premises. If it is cold, then Patricia is not an astronaut. Mary is taking a plane and James is sad. If Mary takes a plane, then Patricia is an astronaut. Can we infer the following from them? It is not cold.
 From the fact that Mary is taking a plane and James is sad we can infer that Mary is taking a plane. From the fact that if Mary takes a plane, then Patricia is an astronaut, and that Mary is taking a plane we can infer that Patricia is an astronaut. Finally, from the fact that if it is cold, then Patricia is not an astronaut, and that Patricia is an astronaut we can infer that it is not cold. Therefore, the answer is yes.