Lemma isaprop_reflects_isos {C : category} {D : precategory} (F : C ⟶ D) : isaprop (reflects_isos F). Proof. apply impred; intros c; apply impred; intros c'. apply impred; intros f; apply impred; intros f'. apply isaprop_is_z_isomorphism. Qed.
Require Import UniMath.Foundations.PartD. Require Import UniMath.Foundations.Propositions. Require Import UniMath.Foundations.Sets. Require Import UniMath.MoreFoundations.PartA. Require Import UniMath.MoreFoundations.Univalence. Require Import UniMath.MoreFoundations.Tactics. Require Import UniMath.CategoryTheory.Core.Categories. Require Import UniMath.CategoryTheory.Core.Isos. Require Import UniMath.CategoryTheory.Core.TransportMorphisms. Require Import UniMath.CategoryTheory.Core.Univalence.