Definition functor_composite_as_ob {C C' C'' : precategory} {hsC' : has_homsets C'} {hsC'' : has_homsets C''} (F : [C, C', hsC']) (F' : [C', C'', hsC'']) : [C, C'', hsC''] := tpair _ _ (is_functor_composite F F').
Require Import UniMath.Foundations.Propositions. Require Import UniMath.MoreFoundations.Tactics. Require Import UniMath.MoreFoundations.Univalence. Require Import UniMath.CategoryTheory.Core.Categories. Require Import UniMath.CategoryTheory.Core.Isos. Require Import UniMath.CategoryTheory.Core.TransportMorphisms. Require Import UniMath.CategoryTheory.Core.Functors. Require Import UniMath.CategoryTheory.Core.NaturalTransformations. Require Import UniMath.CategoryTheory.Core.Univalence.