Definition comp_trans_enrichment {V : monoidal_cat} {C₁ C₂ : category} {F₁ F₂ F₃ : C₁ ⟶ C₂} {τ₁ : F₁ ⟹ F₂} {τ₂ : F₂ ⟹ F₃} {E₁ : enrichment C₁ V} {E₂ : enrichment C₂ V} {FE₁ : functor_enrichment F₁ E₁ E₂} {FE₂ : functor_enrichment F₂ E₁ E₂} {FE₃ : functor_enrichment F₃ E₁ E₂} (τE₁ : nat_trans_enrichment τ₁ FE₁ FE₂) (τE₂ : nat_trans_enrichment τ₂ FE₂ FE₃) : nat_trans_enrichment (nat_trans_comp _ _ _ τ₁ τ₂) FE₁ FE₃.
Require Import UniMath.Foundations.All. 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. Require Import UniMath.CategoryTheory.Monoidal.Categories. Require Import UniMath.CategoryTheory.EnrichedCats.Enrichment. Require Import UniMath.CategoryTheory.EnrichedCats.EnrichmentFunctor. Require Import UniMath.CategoryTheory.whiskering.