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The text discusses 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. Given a joint situation FG, there is a unique functor J from the clys Lee category to A such that J maps ft to f and g to u. It also states that J takes 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, and that the set of morphisms in the clys Lee category from X to X Prime is isomorphic to the set of morphisms from FX to FX Prime. Finally, it asserts that this isomorphism is given by J acting on morphisms.
