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The text discusses the definition of composition in the clys Lee category and how the classic category is equivalent to the full subcategory of free objects in the island burg more category. It explains that the clys Lee category is the initial object in the category of T inducing a joint situation. It introduces a unique functor J from the clys Lee category to A, taking a morphism F to F F followed by the co-unit of FG on component X Prime. The text then goes on to prove that J is full and faithful for arbitrary objects X and X Prime, showing that the isomorphism between sets of morphisms is given by J acting on morphisms.
