Definition kleisli_ump_mor_cell {a : B} {g : z --> a} (γ : h · g ==> g) (p₁ : (η ▹ g) • γ = lunitor g) (p₂ : (rassociator h h g • (h ◃ γ)) • γ = (μ ▹ g) • γ) : mor_of_kleisli_cocone k · kleisli_ump_mor γ p₁ p₂ ==> g := cell_of_kleisli_cocone_mor (pr1 Hk (make_kleisli_cocone g γ p₁ p₂)).
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.