Definition is_bicategory (C : prebicategory) : UU := (has_homcats C) × (∏ (a b : C), isweq (path_to_adj_int_equivalence a b)).
Require Import UniMath.Foundations.PartD. Require Import UniMath.CategoryTheory.Core.Categories. Require Import UniMath.CategoryTheory.Core.Univalence. Require Import UniMath.CategoryTheory.Core.Functors. Require Import UniMath.CategoryTheory.ProductCategory. Require Import UniMath.CategoryTheory.HorizontalComposition. Require Import UniMath.CategoryTheory.Equivalences.Core. Require Import UniMath.Bicategories.WkCatEnrichment.prebicategory. Require Import UniMath.Bicategories.WkCatEnrichment.internal_equivalence. Require Import UniMath.Bicategories.WkCatEnrichment.Notations.