proposition: Lemma colimUnivProp {C : precategory} {g : graph} {d : diagram g C} (CC : ColimCocone d) : ∏ (c : C) (cc : cocone d c), iscontr (∑ x : C⟦colim CC,c⟧, ∏ (v : vertex g), colimIn CC v · x = coconeIn 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.Functors UniMath.CategoryTheory.Core.Isos UniMath.CategoryTheory.Core.NaturalTransformations UniMath.CategoryTheory.Core.Univalence UniMath.CategoryTheory.FunctorCategory UniMath.CategoryTheory.Adjunctions.Core