Lemma Cone_Mor_eq (M N : Cone) (f g : Cone_Mor M N) : ConeConnect f = ConeConnect g -> f = g. Proof. intro H. apply (total2_paths_f H). apply proofirrelevance. apply impred; intro; apply C. 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.