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