Consider the following premises. forall z: W(z) -> P_1(z). forall z: ~P_1(z). W(j_1) <-> t_1. Can we infer t_1 from them? If possible, name the inference rules being used at each step.
 From forall z: W(z) -> P_1(z), forall z: ~P_1(z) we can infer forall z: ~W(z) via universal modus tollens. From forall z: ~W(z) we can infer ~W(j_1) via universal instantiation. Finally, from W(j_1) <-> t_1, ~W(j_1) we can infer ~t_1 via biconditional elimination, which contradicts t_1. Therefore, the answer is no.