Definition ColimFunctor_mor (a a' : A) (f : A⟦a, a'⟧) : C⟦ColimFunctor_ob a,ColimFunctor_ob a'⟧. Proof. refine (colimOfArrows _ _ _ _). - now intro u; apply (# (pr1 (dob D u)) f). - abstract (now intros u v e; simpl; apply pathsinv0, (nat_trans_ax (dmor D e))). Defined.
Require Import UniMath.Foundations.PartD. Require Import UniMath.Foundations.Propositions. Require Import UniMath.Foundations.Sets. Require Import UniMath.MoreFoundations.Tactics. Require Import UniMath.MoreFoundations.Propositions. Require Import UniMath.CategoryTheory.Core.Categories. Require Import UniMath.CategoryTheory.Core.Functors. Require Import UniMath.CategoryTheory.Core.Isos. Require Import UniMath.CategoryTheory.Core.NaturalTransformations. Require Import UniMath.CategoryTheory.Core.Univalence. Require Import UniMath.CategoryTheory.Adjunctions.Core. Require Import UniMath.CategoryTheory.FunctorCategory. Require Import UniMath.CategoryTheory.Limits.Graphs.Colimits. Import UniMath.CategoryTheory.opp_precat.