Definition Coalgebra_mor_id (X : Coalgebra) : Coalgebra_mor X X. Proof. exists (identity X). abstract (unfold is_Coalgebra_mor; rewrite functor_id, id_right, id_left; apply idpath). Defined.
Require Import UniMath.Foundations.PartD. Require Import UniMath.CategoryTheory.Core.Categories. Require Import UniMath.CategoryTheory.Core.Functors. Require Import UniMath.CategoryTheory.Core.NaturalTransformations. Require Import UniMath.CategoryTheory.whiskering. Require Import UniMath.CategoryTheory.Adjunctions.Core. Require Import UniMath.CategoryTheory.Monads.Comonads.