proposition: Lemma comp_faithful_is_faithful (C D E : precategory) (F : functor C D) (faithF : faithful F) (G : functor D E) (faithG : faithful G) : faithful (functor_composite F G).
proof: Proof. unfold faithful in *. intros ? ?; apply (isinclcomp (_,, faithF _ _) (_,, faithG _ _)). Qed.
imports: UniMath.Foundations.PartD UniMath.Foundations.Propositions UniMath.Foundations.Sets UniMath.MoreFoundations.PartA UniMath.MoreFoundations.Univalence UniMath.MoreFoundations.Tactics UniMath.CategoryTheory.Core.Categories UniMath.CategoryTheory.Core.Isos UniMath.CategoryTheory.Core.TransportMorphisms UniMath.CategoryTheory.Core.Univalence