Definition functor_with_enrichment {V : monoidal_cat} (E₁ : cat_with_enrichment V) (E₂ : cat_with_enrichment V) : UU := ∑ (F : E₁ ⟶ E₂), functor_enrichment F E₁ E₂.
Require Import UniMath.Foundations.All. Require Import UniMath.MoreFoundations.All. Require Import UniMath.CategoryTheory.Core.Prelude. Require Import UniMath.CategoryTheory.Monoidal.Categories. Require Import UniMath.CategoryTheory.EnrichedCats.Enrichment. Require Import UniMath.CategoryTheory.Limits.Terminal. Import MonoidalNotations.