Definition mnd_incl_left_universal_arrow (B : bicat) : left_universal_arrow (mnd_incl B). Proof. use make_left_universal_arrow. - exact (λ m, ob_of_mnd m). - exact (λ m, mnd_to_mnd_incl m). - exact (λ m x, mnd_incl_hom_functor m x). - exact (λ m x, mnd_incl_unit m x). - exact (λ m x, mnd_incl_counit m x). - exact (λ m x f, is_z_isomorphism_mnd_incl_unit f). - exact (λ m x f, is_z_isomorphism_mnd_incl_counit f). Defined.
Require Import UniMath.Foundations.All. Require Import UniMath.MoreFoundations.All. Require Import UniMath.CategoryTheory.Core.Categories. Require Import UniMath.CategoryTheory.Core.Isos. Require Import UniMath.CategoryTheory.Core.Functors. Require Import UniMath.CategoryTheory.Core.NaturalTransformations. Require Import UniMath.CategoryTheory.DisplayedCats.Core. Require Import UniMath.Bicategories.Core.Bicat. Import Bicat.Notations. Require Import UniMath.Bicategories.Core.BicategoryLaws. Require Import UniMath.Bicategories.Core.Invertible_2cells. Require Import UniMath.Bicategories.Core.Unitors. Require Import UniMath.Bicategories.DisplayedBicats.DispBicat. Import DispBicat.Notations. Require Import UniMath.Bicategories.DisplayedBicats.DispBicatSection. Require Import UniMath.Bicategories.DisplayedBicats.Examples.EndoMap. Require Import UniMath.Bicategories.DisplayedBicats.Examples.MonadsLax. Require Import UniMath.Bicategories.PseudoFunctors.Display.PseudoFunctorBicat. Require Import UniMath.Bicategories.PseudoFunctors.PseudoFunctor. Require Import UniMath.Bicategories.PseudoFunctors.UniversalArrow.