Definition indexed_cat_comp {C : category} (F : indexed_cat_data C) {x y z : C} (f : x --> y) (g : y --> z) : (F $ f) ∙ (F $ g) ⟹ (F $ (f · g)) := pr222 F x y z f g.
Require Import UniMath.MoreFoundations.All. Require Import UniMath.CategoryTheory.Core.Categories. Require Import UniMath.CategoryTheory.Core.Isos. Require Import UniMath.CategoryTheory.Core.Univalence. Require Import UniMath.CategoryTheory.Core.Functors. Require Import UniMath.CategoryTheory.Core.NaturalTransformations.