Definition free_Alg : functor C (MonadAlg T). Proof. exists free_Alg_data. abstract (split; red; intros; apply subtypePairEquality'; [ apply functor_id | apply homset_property | apply functor_comp | apply homset_property]). Defined.
Require Import UniMath.Foundations.PartD. 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.Adjunctions.Core. Require Import UniMath.CategoryTheory.Monads.Monads. Require Import UniMath.CategoryTheory.Monads.Derivative.