proposition: Lemma limArrowUnique {J C : precategory} {F : functor J C} (CC : LimCone F) (c : C) (cc : cone F c) (k : C⟦c, lim CC⟧) (Hk : ∏ u, k · limOut CC u = coneOut cc u) : k = limArrow CC c cc.
proof: Proof. now apply path_to_ctr, 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.Isos UniMath.CategoryTheory.Core.NaturalTransformations UniMath.CategoryTheory.Core.Univalence UniMath.CategoryTheory.Core.Functors UniMath.CategoryTheory.FunctorCategory