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_4 <-> w. w <-> w_2. p_4 <-> q. ~w_2.
p_4 -> w can be inferred via the biconditional elimination rule. w -> w_2 can be inferred via the biconditional elimination rule. p_4 -> q can be inferred via the biconditional elimination rule. w -> p_4 can be inferred via the biconditional elimination rule. w_2 -> w can be inferred via the biconditional elimination rule. q -> p_4 can be inferred via the biconditional elimination rule. ~w can be inferred via the biconditional elimination rule.