Definition functor_preserves_idempotent {c : C} (H : idempotent c) : idempotent (F c) := _ ,, functor_preserves_is_idempotent 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.