Definition hcomp_bicat_weq_bicat : hcomp_bicat ≃ bicat. Proof. use make_weq. - exact hcomp_bicat_to_bicat. - use isweq_iso. + exact bicat_to_hcomp_bicat. + exact hcomp_bicat_to_bicat_to_hcomp_bicat. + exact bicat_to_hcomp_bicat_to_bicat. 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.