proposition: Lemma lifting_from_distr_law_is_lifting {C D: category} {F: functor C C} {G: functor D D} (H: functor C D) (lambda : DistrLaw G F H H): is_lifting H (lifting_from_distr_law lambda ).
proof: Proof. unfold is_lifting. set (Hλ := lifting_from_distr_law lambda). apply functor_eq. - apply D. - apply idpath. Qed.
imports: UniMath.Foundations.Sets UniMath.CategoryTheory.Core.Categories UniMath.CategoryTheory.Core.Functors UniMath.CategoryTheory.Core.NaturalTransformations UniMath.CategoryTheory.whiskering UniMath.CategoryTheory.FunctorAlgebras UniMath.CategoryTheory.UnitorsAndAssociatorsForEndofunctors UniMath.CategoryTheory.Limits.Initial UniMath.CategoryTheory.Adjunctions.Core