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Yoneda Lemma

A central result in category theory that characterizes objects by their relationships to other objects.
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The statement of the theorem

The set of natural transformations from the hom-functor hAh_A to a functor FF is naturally isomorphic to F(A)F(A).\nNat(hA,F)F(A)\text{Nat}(h_A, F) \cong F(A)
Source: Wikipedia