Definition enriched_weak_equivalence {C₁ C₂ : category} {F : C₁ ⟶ C₂} {V : monoidal_cat} {E₁ : enrichment C₁ V} {E₂ : enrichment C₂ V} (EF : functor_enrichment F E₁ E₂) : UU := essentially_surjective F × fully_faithful_enriched_functor EF.
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.