Question: 3. Let R be a relation on a set A. We denote R2 = Ro R as the relation composition, and generalize to R RoRo...oR.

3. Let R be a relation on a set A. We

3. Let R be a relation on a set A. We denote R2 = Ro R as the relation composition, and generalize to R" RoRo...oR. n-times (a) Prove, using induction, that if R is transitive then RM CR. (b) Prove that if R CR, then R is transitive

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