Definition functor_preserves_split_idempotent {c : C} (f : split_idempotent c) : split_idempotent (F c) := _ ,, (functor_preserves_is_split_idempotent f).
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.