Lemma right_whisker_with_action_unitor : actegory_triangle_identity' Mon_V au_{Act} aα_{Act}. Proof. intros v x. use faithful_reflects_commutative_triangle. 3: { apply (leftwhiskering_faithful_action(V:=V)). } apply pathsinv0. refine (right_whisker_with_action_unitor' _ _ @ _). apply (bifunctor_leftcomp Act). Qed.
Require Import UniMath.MoreFoundations.All. Require Import UniMath.Foundations.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.Equivalences.Core. Require Import UniMath.CategoryTheory.Equivalences.FullyFaithful. Require Import UniMath.CategoryTheory.Monoidal.WhiskeredBifunctors. Require Import UniMath.CategoryTheory.Monoidal.Categories. Import BifunctorNotations. Import MonoidalNotations. Section EquivalenceFromTensorWithUnit. Import MonoidalNotations. End EquivalenceFromTensorWithUnit. Import MonoidalNotations. Import ActegoryNotations.