Definition functor_enrichment_to_data {V : monoidal_cat} {C₁ C₂ : category} {F : C₁ ⟶ C₂} {E₁ : enrichment C₁ V} {E₂ : enrichment C₂ V} (FE : functor_enrichment F E₁ E₂) (x y : C₁) : E₁ ⦃ x, y ⦄ --> E₂ ⦃ F x, F y ⦄ := pr1 FE x y.
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.