A relation R on a set S is said to be transitive ifffor all x, y, z ∈R, xRy ∧ yRz ⇒ xRz. Relation R is defined on the power set P({a, b, c, d, e, f}) by the rule: ARB ⟺ there exists an injective function f: A\B→ B\A Prove or disprove that the relation R is transitive

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