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: James is bored if and only if Patricia is an office clerk. William is a politician or Patricia is not an office clerk. William is not a politician.
Patricia is not an office clerk can be inferred via the disjunctive syllogism rule. If Patricia were an office clerk, then William is a politician can be inferred via the rewriting rule. If James were bored, then Patricia is an office clerk can be inferred via the biconditional elimination rule. If Patricia were an office clerk, then James is bored can be inferred via the biconditional elimination rule.