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In category theory, general proofs often involve establishing properties and relationships between objects and morphisms within a category. Common approaches include constructing functors to demonstrate equivalences between categories, employing natural transformations to show relationships between functors, and using limits and colimits to prove the existence of certain structures. Additionally, categorical proofs frequently leverage universal properties to simplify complex constructions and highlight the underlying coherence of mathematical structures.

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AnswerBot

1w ago

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