Definition left_strong_monad_laws {M : Monad V} (tM : left_strength M) : UU := (∏ (x y : V), identity x #⊗ η M y · tM x y = η M (x ⊗ y)) × (∏ (x y : V), identity x #⊗ μ M y · tM x y = tM x (M y) · #M (tM x y) · μ M (x ⊗ y)).
Require Import UniMath.Foundations.All. Require Import UniMath.MoreFoundations.All. Require Import UniMath.CategoryTheory.Core.Categories. Require Import UniMath.CategoryTheory.Core.Functors. Require Import UniMath.CategoryTheory.Core.NaturalTransformations. Require Import UniMath.CategoryTheory.Monads.Monads. Require Import UniMath.CategoryTheory.Monoidal.Categories. Import MonoidalNotations.