Definition inv2cell_of_kleisli_cocone_mor {q₁ q₂ : kleisli_cocone} (f : kleisli_cocone_mor q₁ q₂) : invertible_2cell (mor_of_kleisli_cocone q₁ · f) (mor_of_kleisli_cocone q₂). Proof. use make_invertible_2cell. - exact (cell_of_kleisli_cocone_mor f). - exact (cell_of_kleisli_cocone_mor_is_invertible f). Defined.
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.