Definition Cone_eq (a b : Cone) : pr1 a = pr1 b -> a = b. Proof. intro H. apply (total2_paths_f H). apply proofirrelevance. apply isaprop_ConeProp. Defined.
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.