proposition: Lemma functor_preserves_merely_split_epi {C D : precategory} (F : functor C D) {A B : ob C} (f : C⟦A,B⟧) : is_merely_split_epi f -> is_merely_split_epi (# F f).
proof: Proof. apply hinhfun. intro hf. exists (#F (pr1 hf)). now rewrite <-functor_id,<- (pr2 hf), <- functor_comp. 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