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This section explores the equivalence between the classic category and the full subcategory of free objects in the Island Berg More category when defining composition in the Clys Lee category. It discusses how the Clys Lee category is the initial object in the category of T inducing a joint situation, and introduces a unique functor J that corresponds to this. It explains that J is full and faithful for arbitrary objects X and X prime, and demonstrates the isomorphism between the home sets of morphisms in the Clys Lee category. It concludes by verifying that this isomorphism is given by J acting on morphisms.
