Definition precat_data_of_setcategory : precategory_data. Proof. use make_precategory_data. - exact precat_ob_mor_of_setcategory. - exact (λ C, functor_identity _). - exact (λ C₁ C₂ C₃ F G, F ∙ G). Defined.
Require Import UniMath.Foundations.All. Require Import UniMath.MoreFoundations.All. Require Import UniMath.CategoryTheory.Core.Prelude. Require Import UniMath.CategoryTheory.Core.Setcategories. Require Import UniMath.CategoryTheory.catiso. Require Import UniMath.CategoryTheory.CategoryEquality. Require Import UniMath.CategoryTheory.Equivalences.Core. Require Import UniMath.CategoryTheory.FunctorCategory. Section FromIso. End FromIso.