proposition: Lemma merely_split_epi_is_epi (f : A --> B) : has_homsets C -> is_merely_split_epi f -> isEpi f.
proof: Proof. intros H. apply merely_split_epi_to_split_epi. - apply isapropisEpi; auto. - apply split_epi_is_epi. Qed.
imports: UniMath.Foundations.PartD UniMath.Foundations.Propositions UniMath.MoreFoundations.Tactics UniMath.CategoryTheory.Core.Categories UniMath.CategoryTheory.Core.Isos UniMath.CategoryTheory.Core.Functors UniMath.CategoryTheory.Monics UniMath.CategoryTheory.Epis UniMath.CategoryTheory.Retracts