Definition functor_to_co_eilenberg_moore_cat_pr_nat_z_iso : nat_z_iso (functor_to_co_eilenberg_moore_cat ∙ co_eilenberg_moore_pr m) F. Proof. use make_nat_z_iso. - exact functor_to_co_eilenberg_moore_cat_pr. - exact functor_to_co_eilenberg_moore_cat_pr_is_nat_z_iso. Defined.
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.Core.NaturalTransformations. Require Import UniMath.CategoryTheory.Core.Isos. Require Import UniMath.CategoryTheory.Core.Univalence. Require Import UniMath.CategoryTheory.Categories.Dialgebras. Require Import UniMath.CategoryTheory.Subcategory.Core. Require Import UniMath.CategoryTheory.Subcategory.Full. Require Import UniMath.CategoryTheory.Monads.Comonads.