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: ~p_2. w_4 -> w. p_2 <-> w_4. w -> p_2.
~w can be inferred via the modus tollens rule. w_4 -> p_2 can be inferred via the transitivity rule. p_2 -> w_4 can be inferred via the biconditional elimination rule. w_4 -> p_2 can be inferred via the biconditional elimination rule. ~w_4 can be inferred via the biconditional elimination rule.