Definition enriched_functor_on_precompose {A B : enriched_precat} (F : enriched_functor A B) {x y : A} (f : underlying_morphism x y) (z : A) : precompose_underlying_morphism z f · enriched_functor_on_morphisms F _ _ = enriched_functor_on_morphisms F _ _ · precompose_underlying_morphism _ (f · enriched_functor_on_morphisms F _ _).
Require Import UniMath.Foundations.PartA. Require Import UniMath.Foundations.Propositions. Require Import UniMath.CategoryTheory.Core.Categories. Require Import UniMath.CategoryTheory.Core.Functors. Require Import UniMath.CategoryTheory.Core.NaturalTransformations. Require Import UniMath.CategoryTheory.Monoidal.Categories. Require Import UniMath.CategoryTheory.PrecategoryBinProduct. Require Import UniMath.CategoryTheory.Core.Isos. Import MonoidalNotations.