Consider the following premises. It is cloudy if and only if Susan is reading a book. Michael is sleeping and Jessica is a soldier. For all x_23, x_23 will not read a book. Can we infer the following from them? If we can, name the inference rule being used: Michael is sleeping and it is not cloudy.
 From the fact that for all x_23, x_23 will not read a book we can infer that Susan is not reading a book via universal instantiation. From the fact that it is cloudy if and only if Susan is reading a book, and that Susan is not reading a book we can infer that it is not cloudy via biconditional elimination. From the fact that Michael is sleeping and Jessica is a soldier we can infer that Michael is sleeping via simplification. Finally, from the fact that Michael is sleeping, and that it is not cloudy we can infer that Michael is sleeping and it is not cloudy via conjunction. Therefore, the answer is yes.