= 1. Suppose RCQ x Q is a relation on a set Q. In the videos, we defined its equivalence closure as follows. First, we take the reflexive symmetric closure of R. which is Ro AQURUR, where Ao is the diagonal relation on Q and R is R's converse relation. Then define Rn+1 = Rn; R for all n E N where; is the relational composition operation. (Note, this means R = Ro: Ro, and R = R; Ro= (Ro: Ro); Ro, etc.) 00 Then the equivalence closure of R is e(R) = R, Prove that the equivalence closure of a relation is an 11=0 equivalence relation.