Definition is_split_idempotent {c : C} (e : c --> c) : UU := ∑ c' (H : retraction c' c), e = retraction_retraction H · retraction_section H.
Require Import UniMath.Foundations.All. Require Import UniMath.MoreFoundations.All. Require Import UniMath.CategoryTheory.Core.Categories. Require Import UniMath.CategoryTheory.Core.Functors. Require Import UniMath.CategoryTheory.OppositeCategory.Core.