proposition: Lemma InitialEndo_is_identity {C : precategory} {O : Initial C} (f : O --> O) : f = identity O.
proof: Proof. apply proofirrelevancecontr, (pr2 O O). Qed.
imports: UniMath.Foundations.PartD UniMath.Foundations.Propositions UniMath.Foundations.Sets UniMath.MoreFoundations.Tactics UniMath.CategoryTheory.Core.Categories UniMath.CategoryTheory.Core.Isos UniMath.CategoryTheory.Core.NaturalTransformations UniMath.CategoryTheory.Core.Univalence UniMath.CategoryTheory.Core.Functors UniMath.CategoryTheory.FunctorCategory UniMath.CategoryTheory.Epis UniMath.CategoryTheory.Limits.Coproducts