1. [6 marks] Given the following definitions: M: the domain of all people who love watching movies S: the domain of all movie stars H ): x is happy . Tar,y): person has talked to movie star y. Determine whether or not the following two predicate logic statements are logically equivalent: Vre M, By ES, Tx,y) H(2) VI E M. (Ey ES,T(x,y) H(2) If the two propositions are logically equivalent, explain why. If they are not logically equivalent, then give an example where their truth values differ, and explain why they differ