Consider the following premises. It is windy if and only if it is cloudy. It is cloudy if and only if David is a poet. For all z_2, z_2 is not a poet. Can we infer the following from them? If we can, name the inference rule being used: It is windy.
 From the fact that for all z_2, z_2 is not a poet we can infer that David is not a poet via universal instantiation. From the fact that it is cloudy if and only if David is a poet, and that David is not a poet we can infer that it is not cloudy via biconditional elimination. From the fact that it is windy if and only if it is cloudy we can infer that if it is windy, then it is cloudy via biconditional elimination. Finally, from the fact that if it is windy, then it is cloudy, and that it is not cloudy we can infer that it is not windy via modus tollens, which contradicts that It is windy. Therefore, the answer is no.