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 Michael is climbing a mountain. If Michael climbs a mountain, then Linda is a writer. Linda is a writer if and only if Michael is reading a book. Linda is not a writer.
Michael is not climbing a mountain can be inferred via the modus tollens rule. If Michael reads a book, then Linda is a writer can be inferred via the transitivity rule. If Linda were a writer, then Michael is reading a book can be inferred via the biconditional elimination rule. If Michael reads a book, then Linda is a writer can be inferred via the biconditional elimination rule. Michael is not reading a book can be inferred via the biconditional elimination rule.