proposition: Lemma colimArrowUnique {C : precategory} {g : graph} {d : diagram g C} (CC : ColimCocone d) (c : C) (cc : cocone d c) (k : C⟦colim CC,c⟧) (Hk : ∏ (u : vertex g), colimIn CC u · k = coconeIn cc u) : k = colimArrow CC c cc.
proof: Proof. apply path_to_ctr. red. apply Hk. Qed.
imports: UniMath.Foundations.PartD UniMath.Foundations.Propositions UniMath.Foundations.Sets UniMath.MoreFoundations.Tactics UniMath.MoreFoundations.Propositions UniMath.CategoryTheory.Core.Categories UniMath.CategoryTheory.Core.Functors UniMath.CategoryTheory.Core.Isos UniMath.CategoryTheory.Core.NaturalTransformations UniMath.CategoryTheory.Core.Univalence UniMath.CategoryTheory.FunctorCategory UniMath.CategoryTheory.Adjunctions.Core