Consider the following premises. If it doesn't snow, then Susan is a doctor. It is late if and only if it is snowing. It is not late. If Susan were a doctor, then Sarah is drinking water. If Sarah drinks water, then it is cold. Can we infer the following from them? It is cold.
 From the fact that it is late if and only if it is snowing, and that it is not late we can infer that it is not snowing. From the fact that if Susan were a doctor, then Sarah is drinking water, and that if Sarah drinks water, then it is cold we can infer that if Susan were a doctor, then it is cold. From the fact that if it doesn't snow, then Susan is a doctor, and that if Susan were a doctor, then it is cold we can infer that if it doesn't snow, then it is cold. Finally, from the fact that if it doesn't snow, then it is cold, and that it is not snowing we can infer that it is cold. Therefore, the answer is yes.