Definition kleisli_cocone_mor (q₁ q₂ : kleisli_cocone) : UU := ∑ (f : q₁ --> q₂) (α : mor_of_kleisli_cocone q₁ · f ==> mor_of_kleisli_cocone q₂), ((_ ◃ α) • cell_of_kleisli_cocone q₂ = lassociator _ _ _ • (cell_of_kleisli_cocone q₁ ▹ _) • α) × is_invertible_2cell α.
Require Import UniMath.Foundations.All. Require Import UniMath.MoreFoundations.All. Require Import UniMath.CategoryTheory.Core.Categories. Require Import UniMath.Bicategories.Core.Bicat. Import Bicat.Notations. Require Import UniMath.Bicategories.Core.Invertible_2cells. Require Import UniMath.Bicategories.Core.BicategoryLaws. Require Import UniMath.Bicategories.Core.Unitors. Require Import UniMath.Bicategories.Core.TransportLaws. Require Import UniMath.Bicategories.Core.Univalence. Require Import UniMath.Bicategories.Core.Examples.OpMorBicat. Require Import UniMath.Bicategories.DisplayedBicats.DispBicat. Import DispBicat.Notations. Require Import UniMath.Bicategories.DisplayedBicats.Examples.MonadsLax.