Definition Cone_comp (A B D : Cone) (f : Cone_Mor A B) (g : Cone_Mor B D) : Cone_Mor A D. Proof. exists (ConeConnect f · ConeConnect g). intro j. rewrite <- assoc. rewrite cone_mor_prop. rewrite cone_mor_prop. apply idpath. 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.