Proposition left_strength_mon_lassociator (x y z : V) : tF (x ⊗ y) z · #F(mon_lassociator x y z) = mon_lassociator x y (F z) · identity x #⊗ tF y z · tF x (y ⊗ z). Proof. exact (pr222 tF x y z). Qed.
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.