Here we collect articles about doing category theory in HoTT. This is based off of the [[HoTT Book]]. ## Definitions ## * [[precategory]] * [[isomorphism]] * [[category]] * [[functor]] * [[natural transformation]] * [[functor precategory]] * [[left adjoint]] * [[equivalence of categories]] * [[faithful]] * [[full]] * [[split essentially surjective]] * [[essentially surjective]] * [[weak equivalence]] * [[isomorphism of precategories]] * [[opposite precategory]] * [[product category]] ## Theorems ## * [[Rezk completion]] * [[Yoneda lemma]] category: category theory