Consider the following premises. If it is cold, then Robert is a politician. It is cold or Robert is not a politician. Robert is a politician. Can we infer the following from them? It is cold.
 From the fact that it is cold or Robert is not a politician we can infer that if Robert were a politician, then it is cold. From the fact that if Robert were a politician, then it is cold, and that if it is cold, then Robert is a politician we can infer that Robert is a politician if and only if it is cold. From the fact that Robert is a politician if and only if it is cold we can infer that if Robert were a politician, then it is cold. Finally, from the fact that if Robert were a politician, then it is cold, and that Robert is a politician we can infer that it is cold. Therefore, the answer is yes.