Definition nat_trans_from_univalent_kleisli_cat : G₁ ⟹ G₂ := lift_nat_trans_along C₂ (functor_to_kleisli_cat m) (essentially_surjective_functor_to_kleisli_cat m) (fully_faithful_functor_to_kleisli_cat m) (nat_trans_from_kleisli_cat_monad m nat_trans_from_univalent_kleisli_cat_help nat_trans_from_univalent_kleisli_cat_help_eq).
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.