Definition lifting_from_distr_law {C D: category} {F: functor C C} {G: functor D D} {H: functor C D} (lambda : DistrLaw G F H H): functor (FunctorAlg F) (FunctorAlg G). Proof. use tpair. - apply (lifting_from_distr_law_data lambda). - apply is_functor_lifting_from_distr_law_data. Defined.
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.