fact: Definition induced_category (M : category) {X:Type} (j : X -> ob M) : category := make_category _ (has_homsets_induced_precategory M j).
imports: UniMath.Foundations.PartA UniMath.Foundations.UnivalenceAxiom UniMath.MoreFoundations.Tactics UniMath.CategoryTheory.Core.Categories UniMath.CategoryTheory.Core.Isos