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  • $\begingroup$ This is the best answer, both technically and perspectivally. One should prove facts about definitions using API-like lemmas about its direct subcomponents, i.e. at as high a level as possible. Theories built on intrinsic rather than extrinsic definitions. This makes it more readable and resilient to change. $\endgroup$
    – Feryll
    Commented Jun 29 at 6:57