E' : Colimit D -> Type. Proof. apply Colimit_rec. simple refine (Build_Cocone _ _). - exact (fun i x => E (i; x)). - intros i j g x; cbn. symmetry. srapply (path_universe (E_f _ _)). Defined.
Require Import Basics. Require Import Types. Require Import Diagrams.Diagram. Require Import Diagrams.Graph. Require Import Diagrams.Cocone. Require Import Diagrams.DDiagram. Require Import Colimits.Colimit.