Proposition op_enrichment_postcomp {x y : C} (f : x --> y) (z : C) : postcomp_arr op_enrichment z f = precomp_arr E z f. Proof. unfold precomp_arr, postcomp_arr ; cbn. rewrite !assoc'. etrans. { apply maponpaths. rewrite !assoc. rewrite tensor_sym_mon_braiding. apply idpath. } rewrite !assoc. rewrite sym_mon_braiding_linvunitor. apply idpath. Qed.
Require Import UniMath.Foundations.All. Require Import UniMath.MoreFoundations.All. Require Import UniMath.CategoryTheory.Core.Categories. Require Import UniMath.CategoryTheory.Core.Isos. Require Import UniMath.CategoryTheory.Core.Univalence. Require Import UniMath.CategoryTheory.Core.Functors. Require Import UniMath.CategoryTheory.Core.NaturalTransformations. Require Import UniMath.CategoryTheory.opp_precat. Require Import UniMath.CategoryTheory.OppositeCategory.Core. Require Import UniMath.CategoryTheory.EnrichedCats.Enrichment. Require Import UniMath.CategoryTheory.EnrichedCats.EnrichmentFunctor. Require Import UniMath.CategoryTheory.EnrichedCats.EnrichmentTransformation. Require Import UniMath.CategoryTheory.Monoidal.Categories. Require Import UniMath.CategoryTheory.Monoidal.Structure.Symmetric. Import MonoidalNotations.