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_3 <-> w. p -> t_4. p_3 <-> p. ~t_4.
~p can be inferred via the modus tollens rule. p_3 -> w can be inferred via the biconditional elimination rule. p_3 -> p can be inferred via the biconditional elimination rule. w -> p_3 can be inferred via the biconditional elimination rule. p -> p_3 can be inferred via the biconditional elimination rule.