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