Definition opposite_enriched_functor {A B : enriched_precat Mon_V} (F : enriched_functor A B) : enriched_functor (opposite_enriched_precat A) (opposite_enriched_precat B). Proof. use make_enriched_functor. - use make_enriched_functor_data. + intro x. exact (F x). + intros x y. exact (enriched_functor_on_morphisms F y x). - intro x. cbn. apply enriched_functor_on_identity. - intros x y z. cbn. refine (enriched_functor_on_comp F z y x @ _). apply maponpaths_2. unfold monoidal_cat_tensor_mor. unfold functoronmorphisms1. cbn. rewrite whiskerscommutes ; [ apply idpath | ]. apply (pr2 Mon_V). Defined.
Require Import UniMath.Foundations.All. Require Import UniMath.MoreFoundations.All. Require Import UniMath.CategoryTheory.Core.Categories. Require Import UniMath.CategoryTheory.Core.Functors. Require Import UniMath.CategoryTheory.Core.NaturalTransformations. Require Import UniMath.CategoryTheory.Core.Isos. Require Import UniMath.CategoryTheory.Monoidal.WhiskeredBifunctors. Require Import UniMath.CategoryTheory.Monoidal.Categories. Require Import UniMath.CategoryTheory.EnrichedCats.Enriched.Enriched. Import MonoidalNotations.