Consider the following premises. forall z: U_1(z) <-> P(z). forall z: P(z) <-> Q(z). exists z: Q(z) or U_1(z). Can we infer exists z: P(z) from them?
 From forall z: P(z) <-> Q(z) we can infer forall z: Q(z) -> P(z). From forall z: U_1(z) <-> P(z) we can infer forall z: U_1(z) -> P(z). Finally, from forall z: Q(z) -> P(z), forall z: U_1(z) -> P(z), exists z: Q(z) or U_1(z) we can infer exists z: P(z). Therefore, the answer is yes.