Consider the following premises. If it is cold, then Susan is a carpenter. If Susan were a carpenter, then Richard is taking a plane. If Richard takes a plane, then it is cold. Can we infer the following from them? If is not true that Susan is a carpenter if and only if it is cold.
 From the fact that if Susan were a carpenter, then Richard is taking a plane, and that if Richard takes a plane, then it is cold we can infer that if Susan were a carpenter, then it is cold. Finally, from the fact that if Susan were a carpenter, then it is cold, and that if it is cold, then Susan is a carpenter we can infer that Susan is a carpenter if and only if it is cold, which contradicts that If is not true that Susan is a carpenter if and only if it is cold. Therefore, the answer is no.