Definition PreCat_associator_and_unitors_are_iso : associator_and_unitors_are_iso PreCat_data. Proof. repeat split. - intros a b c d. apply Catlike_associator_is_iso. - intros a b. apply Catlike_left_unitor_is_iso. - intros a b. apply Catlike_right_unitor_is_iso. Defined.
Require Import UniMath.Foundations.PartD. Require Import UniMath.CategoryTheory.Core.Categories. Require Import UniMath.CategoryTheory.Core.Isos. Require Import UniMath.CategoryTheory.Core.NaturalTransformations. Require Import UniMath.CategoryTheory.Core.Univalence. Require Import UniMath.CategoryTheory.Core.Functors. Require Import UniMath.CategoryTheory.PrecategoryBinProduct. Require Import UniMath.CategoryTheory.Categories.StandardCategories. Require Import UniMath.CategoryTheory.HorizontalComposition. Require Import UniMath.CategoryTheory.Equivalences.Core. Require Import UniMath.CategoryTheory.FunctorCategory. Require Import UniMath.Bicategories.WkCatEnrichment.prebicategory.