Consider the following premises. Robert is a writer. Joseph is a carpenter or Robert is not a writer. Can we infer the following from them? If we can, name the inference rule being used: Joseph is a carpenter.
 From the fact that Joseph is a carpenter or Robert is not a writer we can infer that if Robert were a writer, then Joseph is a carpenter via rewriting. Finally, from the fact that if Robert were a writer, then Joseph is a carpenter, and that Robert is a writer we can infer that Joseph is a carpenter via modus ponens. Therefore, the answer is yes.