Definition colim_functor (C:category) (colim:Colimits C) (I:category) : [I,C] ⟶ C := functorRmOp ( universalObjectFunctor C^op □ addStructure cocone_functor (colim I)).
Require Import UniMath.Foundations.Preamble. Require Import UniMath.CategoryTheory.Core.Categories. Require Import UniMath.CategoryTheory.Core.Isos. Require Import UniMath.CategoryTheory.Core.Functors. Require Import UniMath.CategoryTheory.Core.Univalence. Require Import Require Import Require Import UniMath.MoreFoundations.Tactics.