Definition hcomp_bicat_associator (B : hcomp_bicat) (a b c d : hcomp_bicat_to_prebicategory_id_comp B) : associator_trans_type a b c d. Proof. use make_nat_trans. - exact (λ f, hb_rassoc (pr1 f) (pr12 f) (pr22 f)). - intros f₁ f₂ α. apply (pr122 (pr222 (pr222 B))). Defined.
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.NaturalTransformations. Require Import UniMath.CategoryTheory.Core.Isos. Require Import UniMath.CategoryTheory.PrecategoryBinProduct. Require Import UniMath.Bicategories.WkCatEnrichment.prebicategory. Require Import UniMath.Bicategories.Core.Bicat. Import Bicat.Notations. Require Import UniMath.Bicategories.Core.BicategoryLaws.