Definition inj_comm {C I:category} {D: I⟶C} (colim:Colimit D) {i j:I} (f:i-->j) : inj_ colim j ∘ # D f = inj_ colim i. Proof. intros. exact (pr2 (universalElement colim) _ _ f). Defined.
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.