Consider the following premises. If it is overcast, then it is raining. It is snowing or it is overcast. If it snows, then it is raining. If Sarah were a poet, then Patricia is reading a book. Sarah is a poet. Can we infer the following from them? If we can, name the inference rule being used: Patricia is reading a book and it is raining.
 From the fact that if it snows, then it is raining, that if it is overcast, then it is raining, and that it is snowing or it is overcast we can infer that it is raining via disjunction elimination. From the fact that if Sarah were a poet, then Patricia is reading a book, and that Sarah is a poet we can infer that Patricia is reading a book via modus ponens. Finally, from the fact that Patricia is reading a book, and that it is raining we can infer that Patricia is reading a book and it is raining via conjunction. Therefore, the answer is yes.