Lemma isotoid_CONE_idtoiso (M N : CONE F) : ∏ p : M = N, isotoid_CONE (idtoiso p) = p. Proof. intro p. induction p. apply eq_Cone_eq. apply base_paths_isotoid_CONE. 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.