Definition nat_trans_to_empty_inv_enrichment {C₁ C₂ : category} {E₁ : enrichment C₁ V} {E₂ : enrichment C₂ V} {F : C₁ ⟶ empty_category} (EF : functor_enrichment F E₁ empty_category_enrichment) {G : empty_category ⟶ C₂} (EG : functor_enrichment G empty_category_enrichment E₂) {H : C₁ ⟶ C₂} (EH : functor_enrichment H E₁ E₂) : nat_trans_enrichment (nat_z_iso_inv (make_nat_z_iso _ _ _ (nat_trans_to_empty_is_nat_z_iso F G H))) (functor_comp_enrichment EF EG) EH.
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.Categories.StandardCategories. Require Import UniMath.CategoryTheory.EnrichedCats.Enrichment. Require Import UniMath.CategoryTheory.EnrichedCats.EnrichmentFunctor. Require Import UniMath.CategoryTheory.EnrichedCats.EnrichmentTransformation. Require Import UniMath.CategoryTheory.Monoidal.Categories.