Consider the following premises. It is overcast and David is climbing a mountain. It is overcast if and only if it is cold. Can we infer the following from them? It is not cold.
 From the fact that it is overcast if and only if it is cold we can infer that if it is overcast, then it is cold. From the fact that it is overcast and David is climbing a mountain we can infer that it is overcast. Finally, from the fact that if it is overcast, then it is cold, and that it is overcast we can infer that it is cold, which contradicts that It is not cold. Therefore, the answer is no.