Definition mnd_to_op1_mnd (m : mnd B) : op1_bicat (mnd (op1_bicat B)). Proof. use make_mnd. - use make_mnd_data. + exact (ob_of_mnd m). + exact (endo_of_mnd m). + exact (unit_of_mnd m). + exact (mult_of_mnd m). - refine (_ ,, _ ,, _). + exact (mnd_unit_right m). + exact (mnd_unit_left m). + exact (!(mnd_mult_assoc' m)). 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.