Consider the following premises. ~P(i). forall x_3: W(x_3) -> P(x_3). W(i) <-> p. Can we infer p from them? If possible, name the inference rules being used at each step.
 From forall x_3: W(x_3) -> P(x_3) we can infer W(i) -> P(i) via universal instantiation. From W(i) -> P(i), ~P(i) we can infer ~W(i) via modus tollens. Finally, from W(i) <-> p, ~W(i) we can infer ~p via biconditional elimination, which contradicts p. Therefore, the answer is no.