Lemma ConeConnectIso_inj (a b : CONE) (f g : z_iso a b) : ConeConnectIso f = ConeConnectIso g -> f = g. Proof. intro H. apply z_iso_eq; simpl in *. apply Cone_Mor_eq. apply (base_paths _ _ H). Qed.
Require Import UniMath.Foundations.PartD. Require Import UniMath.Foundations.Propositions. Require Import UniMath.Foundations.Sets. Require Import UniMath.MoreFoundations.PartA. Require Import UniMath.CategoryTheory.Core.Categories. Require Import UniMath.CategoryTheory.Core.Isos. Require Import UniMath.CategoryTheory.Core.Univalence. Require Import UniMath.CategoryTheory.Core.Functors.