Consider the following premises. If Karen were not an office clerk, then Charles is climbing a mountain. Karen is an office clerk if and only if it is snowing. For all x_9, x_9 will sleep. It is not snowing. Can we infer the following from them? If we can, name the inference rule being used: Charles is climbing a mountain and Richard is sleeping.
 From the fact that Karen is an office clerk if and only if it is snowing, and that it is not snowing we can infer that Karen is not an office clerk via biconditional elimination. From the fact that if Karen were not an office clerk, then Charles is climbing a mountain, and that Karen is not an office clerk we can infer that Charles is climbing a mountain via modus ponens. From the fact that for all x_9, x_9 will sleep we can infer that Richard is sleeping via universal instantiation. Finally, from the fact that Charles is climbing a mountain, and that Richard is sleeping we can infer that Charles is climbing a mountain and Richard is sleeping via conjunction. Therefore, the answer is yes.