Definition actorinv_nat_leftrightwhisker {C : category} (Act : actegory C) : ∏ (v w w' : V) (z : C) (g : V⟦w,w'⟧), (v ⊗^{Act}_{l} (g ⊗^{Act}_{r} z)) · (aαinv_{Act} v w' z) = (aαinv_{Act} v w z) · ((v ⊗^{Mon_V}_{l} g) ⊗^{Act}_{r} z).
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.