Consider the following premises. If Mary drives a car, then Patricia is listening to a song. Mary is driving a car or it is raining. Susan is writing a letter if and only if it is raining. If Patricia listens to a song, then David is working. Susan is not writing a letter. Can we infer the following from them? If we can, name the inference rule being used: Susan is a nurse.
We cannot infer that from the premises. Therefore the answer is no.