Definition functor_enrichment_precomp_arr {V : monoidal_cat} {C₁ C₂ : category} {F : C₁ ⟶ C₂} {E₁ : enrichment C₁ V} {E₂ : enrichment C₂ V} (FE : functor_enrichment F E₁ E₂) {w x y : C₁} (f : w --> x) : FE x y · precomp_arr E₂ (F y) (#F f) = precomp_arr E₁ y f · FE w 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.