proposition: Lemma split_monic_is_monic (m : A --> B) : is_split_monic m -> isMonic m.
proof: Proof. intros is_split. apply (isMonic_postcomp _ m (pr1 is_split)). apply (transportf _ (!pr2 is_split)). apply identity_isMonic. 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