Definition ConeConnectIso {a b : CONE} (f : z_iso a b) : z_iso (ConeTop (pr1 a)) (ConeTop (pr1 b)) := tpair _ _ (iso_projects_from_CONE a b f).
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.