Consider the following premises. It is not cloudy. David is an electrician if and only if it is windy. It is cloudy if and only if Karen is a soldier. Karen is a soldier if and only if it is windy. Can we infer the following from them? If we can, name the inference rule being used: David is an electrician.
 From the fact that it is cloudy if and only if Karen is a soldier, and that it is not cloudy we can infer that Karen is not a soldier via biconditional elimination. From the fact that Karen is a soldier if and only if it is windy, and that Karen is not a soldier we can infer that it is not windy via biconditional elimination. Finally, from the fact that David is an electrician if and only if it is windy, and that it is not windy we can infer that David is not an electrician via biconditional elimination, which contradicts that David is an electrician. Therefore, the answer is no.