proposition: Lemma merely_split_monic_is_monic (m : A --> B) : has_homsets C -> is_merely_split_monic m -> isMonic m.
proof: Proof. intros H. apply merely_split_monic_to_split_monic. - apply isapropisMonic; auto. - apply split_monic_is_monic. 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