Definition is_cocone_mor {C : precategory} {g : graph} {d : diagram g C} {c1 : C} (cc1 : cocone d c1) {c2 : C} (cc2 : cocone d c2) (x : c1 --> c2) : UU := ∏ (v : vertex g), coconeIn cc1 v · x = coconeIn cc2 v.
Require Import UniMath.Foundations.PartD. Require Import UniMath.Foundations.Propositions. Require Import UniMath.Foundations.Sets. Require Import UniMath.MoreFoundations.Tactics. Require Import UniMath.MoreFoundations.Propositions. Require Import UniMath.CategoryTheory.Core.Categories. Require Import UniMath.CategoryTheory.Core.Functors. Require Import UniMath.CategoryTheory.Core.Isos. Require Import UniMath.CategoryTheory.Core.NaturalTransformations. Require Import UniMath.CategoryTheory.Core.Univalence. Require Import UniMath.CategoryTheory.FunctorCategory. Require Import UniMath.CategoryTheory.Adjunctions.Core.