Consider the following premises. If John drives a car, then Patricia is playing tennis. For all x, if x plays a game, then x is excited. If James were excited, then John is driving a car. If Mary writes a letter, then James is playing a game. Can we infer the following from them? If we can, name the inference rule being used: Mary is writing a letter.
We cannot infer that from the premises. Therefore the answer is no.