The answers to exercises marked IBB] can be found in the Back of the Book.Let be an equiv...

The answers to exercises marked IBB] can be found in the Back of the Book.

Let be an equivalence relation on a set S and let {S1, S2, ‖, S3} be a collection of subsets of S with the property that (a, b) ∈ R if and only if a and b are elements of the same set S1, for some i. Suppose that, for each i, . Prove that {S1, S2, …, S3} is a partition of S.