Proposition isaprop_preserves_regular_epi {C₁ C₂ : category} (F : C₁ ⟶ C₂) : isaprop (preserves_regular_epi F). Proof. do 4 (use impred ; intro). apply isaprop_is_regular_epi. Qed.
Require Import UniMath.Foundations.All. Require Import UniMath.MoreFoundations.All. Require Import UniMath.CategoryTheory.Core.Prelude. Require Import UniMath.CategoryTheory.Limits.Coequalizers. Require Import UniMath.CategoryTheory.Limits.Pullbacks. Require Import UniMath.CategoryTheory.Epis.