Definition hcomp_bicat_to_prebicategory_id_comp (B : hcomp_bicat) : prebicategory_id_comp. Proof. simple refine (_ ,, _ ,, _). - exact (hcomp_bicat_to_prebicategory_ob_hom B). - exact (λ a, hb_id1 a). - exact (hcomp_bicat_hcomp 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.