Proposition internal_relation_monic {C : category} {x : C} (R : internal_relation x) {w : C} {f g : w --> R} (p : f · internal_relation_src R = g · internal_relation_src R) (q : f · internal_relation_tar R = g · internal_relation_tar R) : f = g. Proof. exact (pr222 R w f g p q). Qed.
Require Import UniMath.Foundations.All. Require Import UniMath.MoreFoundations.All. Require Import UniMath.CategoryTheory.Core.Prelude. Require Import UniMath.CategoryTheory.Limits.Pullbacks. Require Import UniMath.CategoryTheory.Limits.Coequalizers. Require Import UniMath.CategoryTheory.RegularAndExact.RegularCategory.