Definition actor_nat_leftwhisker {C : category} {A : action_data C} (aα : actor_data A) : UU := ∏ (v w : V) (z z' : C) (h : C⟦z,z'⟧), (aα v w z) · (v ⊗^{A}_{l} (w ⊗^{A}_{l} h)) = ((v ⊗_{Mon_V} w) ⊗^{A}_{l} h) · (aα v w 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.