Consider the following premises. forall x: P(x) <-> T(x). p_3 <-> T(a_10). Can we infer p_3 -> P(a_10) from them?
 From forall x: P(x) <-> T(x) we can infer forall x: T(x) -> P(x). From forall x: T(x) -> P(x) we can infer T(a_10) -> P(a_10). From p_3 <-> T(a_10) we can infer p_3 -> T(a_10). Finally, from p_3 -> T(a_10), T(a_10) -> P(a_10) we can infer p_3 -> P(a_10). Therefore, the answer is yes.