Definition core_z_iso_weq (x y : C) : @z_iso C x y ≃ @z_iso core x y. Proof. use make_weq. - simple refine (λ i, _,,_). + exact i. + apply is_z_iso_core. - use isweq_iso. + exact (λ i, pr1 i). + abstract (intro i ; use z_iso_eq ; apply idpath). + abstract (intro i ; use z_iso_eq ; apply idpath). Defined.
Require Import UniMath.Foundations.All. Require Import UniMath.MoreFoundations.All. Require Import UniMath.CategoryTheory.Core.Categories. Require Import UniMath.CategoryTheory.Core.Isos. Require Import UniMath.CategoryTheory.Core.Univalence. Require Import UniMath.CategoryTheory.Core.Functors. Require Import UniMath.CategoryTheory.Core.NaturalTransformations. Require Import UniMath.CategoryTheory.Groupoids. Require Import UniMath.CategoryTheory.opp_precat. Require Import UniMath.CategoryTheory.PrecategoryBinProduct. Require Import UniMath.CategoryTheory.DisplayedCats.Core. Require Import UniMath.CategoryTheory.DisplayedCats.Isos. Require Import UniMath.CategoryTheory.DisplayedCats.Univalence.