Definition nat_trans_with_enrichment {V : monoidal_cat} {E₁ : cat_with_enrichment V} {E₂ : cat_with_enrichment V} (F : functor_with_enrichment E₁ E₂) (G : functor_with_enrichment E₁ E₂) : UU := ∑ (τ : nat_trans_data F G), nat_trans_enrichment τ (pr2 F) (pr2 G).
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.