proposition: Lemma coneOutCommutes {J C : precategory} {F : functor J C} {c : C} (cc : cone F c) : ∏ u v (e : J⟦u,v⟧), coneOut cc u · # F e = coneOut cc v.
proof: Proof. apply (pr2 cc). 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