Definition Quotobjectscategory_ob {c c' : C} (h : C⟦c, c'⟧) (isE : isEpi h) : Quotobjectscategory c := tpair _ (subprecategory_of_epis_ob C c') (tpair _ h isE).
Require Import UniMath.Foundations.PartD. Require Import UniMath.Foundations.Propositions. Require Import UniMath.Foundations.Sets. Require Import UniMath.CategoryTheory.Core.Categories. Require Import UniMath.CategoryTheory.Core.Functors. Require Import UniMath.CategoryTheory.UnderCategories. Require Import UniMath.CategoryTheory.Epis. Require Import UniMath.CategoryTheory.Subcategory.Core. Require Import UniMath.CategoryTheory.Limits.Pushouts.