Consider the following premises. Karen is not playing squash. It is windy if and only if David is a poet. If David were a poet, then Patricia is bored. Patricia is bored if and only if Karen is playing squash. Can we infer the following from them? If we can, name the inference rule being used: It is not windy.
 From the fact that Patricia is bored if and only if Karen is playing squash, and that Karen is not playing squash we can infer that Patricia is not bored via biconditional elimination. From the fact that if David were a poet, then Patricia is bored, and that Patricia is not bored we can infer that David is not a poet via modus tollens. Finally, from the fact that it is windy if and only if David is a poet, and that David is not a poet we can infer that it is not windy via biconditional elimination. Therefore, the answer is yes.