Definition id_distr_law_left {C D : category} (F : functor C D) : ∏ (C' D' : category) (F' : functor C' D') (H : functor C' C) (K : functor D' D) (lambda : DistrLaw F F' H K), comp_distr_laws (id_distr_law F) lambda = lambda.
Require Import UniMath.Foundations.Sets. Require Import UniMath.CategoryTheory.Core.Categories. Require Import UniMath.CategoryTheory.Core.Functors. Require Import UniMath.CategoryTheory.Core.NaturalTransformations. Require Import UniMath.CategoryTheory.whiskering. Require Import UniMath.CategoryTheory.FunctorAlgebras. Require Import UniMath.CategoryTheory.UnitorsAndAssociatorsForEndofunctors. Require Import UniMath.CategoryTheory.Limits.Initial. Require Import UniMath.CategoryTheory.Adjunctions.Core.