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Yoneda's Lemma
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What is the statement of Yoneda's Lemma?
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A
For any category C and any object X in C, there is a natural isomorphism between the functor category C/X and the category of natural transformations from the constant functor X to the identity functor on C.
💡 Explanation:
Yoneda's Lemma states that for any category C and any object X in C, there is a natural isomorphism between the functor category C/X and the category of natural transformations from the constant functor X to the identity functor on C. This means that every functor from C/X to Set can be uniquely represented as a natural transformation from the constant functor X to the identity functor on C.