What can be inferred from the following premises in a single inference step (ignoring inferences that add new predicates or constants)? Name the inference rule being used: If Michael reads a book, then Jennifer is a nurse. Jennifer is not a nurse. If Jennifer were a nurse, then William is rich. Michael is reading a book if and only if William is rich.
Michael is not reading a book can be inferred via the modus tollens rule. If Michael reads a book, then William is rich can be inferred via the transitivity rule. If Michael reads a book, then William is rich can be inferred via the biconditional elimination rule. If William were rich, then Michael is reading a book can be inferred via the biconditional elimination rule.