proposition: Lemma limUnivProp {J C : precategory} {F : functor J C} (CC : LimCone F) : ∏ (c : C) (cc : cone F c), iscontr (∑ x : C⟦c, lim CC⟧, ∏ v, x · limOut CC v = coneOut cc v).
proof: Proof. exact (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