Consider the following premises. It is windy if and only if David is bored. If it is windy, then David is bored. David is not bored. Can we infer the following from them? It is windy.
 From the fact that it is windy if and only if David is bored we can infer that if David were bored, then it is windy. From the fact that if David were bored, then it is windy, and that if it is windy, then David is bored we can infer that David is bored if and only if it is windy. Finally, from the fact that David is bored if and only if it is windy, and that David is not bored we can infer that it is not windy, which contradicts that It is windy. Therefore, the answer is no.