Consider the following premises. exists x_14: U(x_14) -> T_1(x_14). forall x_14: P_11(x_14) <-> U(x_14). forall x_14: T_1(x_14) <-> U(x_14). Can we infer exists x_14: T_1(x_14) -> P_11(x_14) from them?
 From forall x_14: T_1(x_14) <-> U(x_14) we can infer forall x_14: T_1(x_14) -> U(x_14). From forall x_14: P_11(x_14) <-> U(x_14) we can infer forall x_14: U(x_14) -> P_11(x_14). From exists x_14: U(x_14) -> T_1(x_14), forall x_14: T_1(x_14) -> U(x_14) we can infer exists x_14: U(x_14) <-> T_1(x_14). From exists x_14: U(x_14) <-> T_1(x_14) we can infer exists x_14: T_1(x_14) -> U(x_14). Finally, from exists x_14: T_1(x_14) -> U(x_14), forall x_14: U(x_14) -> P_11(x_14) we can infer exists x_14: T_1(x_14) -> P_11(x_14). Therefore, the answer is yes.