Definition nat_trans_from_univalent_kleisli_cat_help : Left_Kleisli_functor m ∙ (functor_to_kleisli_cat m ∙ G₁) ⟹ Left_Kleisli_functor m ∙ (functor_to_kleisli_cat m ∙ G₂) := nat_trans_comp _ _ _ (nat_trans_comp _ _ _ (post_whisker (nat_z_iso_inv (functor_to_kleisli_cat_incl_nat_z_iso m)) _) α) (post_whisker (functor_to_kleisli_cat_incl_nat_z_iso m) _).
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.EilenbergMoore. Require Import UniMath.CategoryTheory.Subcategory.Core. Require Import UniMath.CategoryTheory.Subcategory.Full. Require Import UniMath.CategoryTheory.Monads.Monads. Require Import UniMath.CategoryTheory.Monads.KleisliCategory. Require Import UniMath.CategoryTheory.whiskering. Require Import UniMath.CategoryTheory.PrecompEquivalence.