Definition is_int_equivalence {C : prebicategory} {a b : C} (f : a -1-> b) : UU := ∑ g : b -1-> a, (z_iso (identity1 a) (f ;1; g)) × (z_iso (g ;1; f) (identity1 b)).
Require Import UniMath.Foundations.PartD. Require Import UniMath.CategoryTheory.Core.Categories. Require Import UniMath.CategoryTheory.Core.Isos. 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.whiskering. Require Import UniMath.Bicategories.WkCatEnrichment.Notations.