Consider the following premises. If it is cloudy, then Linda is cooking. It is not raining. It is windy if and only if it is raining. If Karen were curious, then it is windy. Patricia is reading a book or it is cloudy. If Patricia reads a book, then Linda is cooking. Can we infer the following from them? If we can, name the inference rule being used: Karen is not curious.
 From the fact that it is windy if and only if it is raining, and that it is not raining we can infer that it is not windy via biconditional elimination. From the fact that if Patricia reads a book, then Linda is cooking, that if it is cloudy, then Linda is cooking, and that Patricia is reading a book or it is cloudy we can infer that Linda is cooking via disjunction elimination. Finally, from the fact that if Karen were curious, then it is windy, and that it is not windy we can infer that Karen is not curious via modus tollens. Therefore, the answer is yes.