If R1 and R2 are equivalence relations on A, then must the composition R1oR2 also be an equivalence relation on A?Prove or give a counterexample.
I know that an equivalence relation is symmetric, reflexive and transitive , but I don't know how to prove whether or not the composition relation has the same properties. (I think it does because I tried to find a counterexample , but failed). How do I prove it if it's true or go about finding an appropriate counterexample if it's false?
Any input would be appreciated.
Thanks in advance