Consider the following premises. forall y: R(y). forall y: P_4(y) -> T_3(y). forall y: R(y) -> P(y). exists y: P_4(y). Can we infer exists y: T_3(y) and P(y) from them?
 From forall y: P_4(y) -> T_3(y), exists y: P_4(y) we can infer exists y: T_3(y). From forall y: R(y) -> P(y), forall y: R(y) we can infer forall y: P(y). Finally, from exists y: T_3(y), forall y: P(y) we can infer exists y: T_3(y) and P(y). Therefore, the answer is yes.