Consider the following premises. forall z: P(z) <-> R(z). exists z: T_4(z) <-> P(z). forall z: ~T_4(z). forall z: R(z) <-> S_1(z). Can we infer exists z: T_4(z) <-> P(z) from them? If possible, name the inference rules being used at each step.
That is one of the premises. Therefore, the answer is yes.