Definition op1_mnd_mor_to_mnd_opmor (f : m₁ --> m₂) : mnd_opmor (op1_mnd_to_mnd m₁) (op1_mnd_to_mnd m₂). Proof. use make_mnd_opmor. - use make_mnd_opmor_data. + exact (mor_of_mnd_mor f). + exact (mnd_mor_endo f). - split. + exact (mnd_mor_unit f). + exact (mnd_mor_mu 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.DisplayedCats.Core. 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.Examples.OpMorBicat. Require Import UniMath.Bicategories.DisplayedBicats.DispBicat. Import DispBicat.Notations. Require Import UniMath.Bicategories.DisplayedBicats.Examples.MonadsLax.