Definition Copresheaf_RezkCompletion_monoidal_functor : functor_monoidal_cat (monoidal_cat_left_unitor M) (monoidal_cat_left_unitor Copresheaf_RezkCompletion_monoidal_cat) (monoidal_cat_right_unitor M) (monoidal_cat_right_unitor Copresheaf_RezkCompletion_monoidal_cat) (monoidal_cat_associator M) (monoidal_cat_associator Copresheaf_RezkCompletion_monoidal_cat) := RezkCompletion_monoidal_functor M (Rezk_eta_essentially_surjective M) (Rezk_eta_fully_faithful M).
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.Univalence. Require Import UniMath.CategoryTheory.Monoidal.AlternativeDefinitions.MonoidalCategoriesTensored. Require Import UniMath.CategoryTheory.Monoidal.AlternativeDefinitions.MonoidalFunctorCategory. Require Import UniMath.CategoryTheory.Equivalences.Core. Require Import UniMath.CategoryTheory.DisplayedCats.Total. Require Import UniMath.CategoryTheory.Monoidal.RezkCompletion.LiftedMonoidal. Require Import UniMath.CategoryTheory.RezkCompletions.Construction.