Question: Definition: Let A be a non-empty set. A relation, R, on A is called circular if forall x, y, z elementof A(x, y) elementof R

Definition: Let A be a non-empty set. A relation, R, on

Definition: Let A be a non-empty set. A relation, R, on A is called circular if forall x, y, z elementof A(x, y) elementof R and (y, z) element R doublerightarrow (z, x) elementof R Note the order of the conclusion; this is close to transitive but not quite the same. Prove that if a relation, R, on a set, A, is reflexive and circular then it is an equivalence relation

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