Definition hcomp_bicat_runitor (B : hcomp_bicat) (a b : hcomp_bicat_to_prebicategory_id_comp B) : right_unitor_trans_type a b. Proof. use make_nat_trans. - exact (λ f, hb_runit f). - intros f₁ f₂ α. apply (pr2 (pr222 (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.