Definition mnd_from_adjunction : mnd B. Proof. use make_mnd. - use make_mnd_data. + exact x. + exact f. + exact monad_η. + exact monad_μ. - refine (_ ,, _ ,, _). + exact mnd_from_adjunction_η_left. + exact mnd_from_adjunction_η_right. + exact mnd_from_adjunction_assoc. 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.BicategoryLaws. Require Import UniMath.Bicategories.Core.Invertible_2cells. Require Import UniMath.Bicategories.Core.Unitors. Require Import UniMath.Bicategories.Morphisms.Adjunctions. Require Import UniMath.Bicategories.DisplayedBicats.Examples.MonadsLax. Section MonadFromAdjunction. End MonadFromAdjunction.