fact: Definition actegory_pentagon_identity {C : category} {A : action_data C} (aα : actor_data A) : UU := ∏ (w v v' : V) (z : C), ((α_{Mon_V} w v v') ⊗^{A}_{r} z) · (aα w (v ⊗_{Mon_V} v') z) · (w ⊗^{A}_{l} (aα v v' z)) = (aα (w⊗_{Mon_V} v) v' z) · (aα w v (v' ⊗_{A} z)).
imports: UniMath.MoreFoundations.All UniMath.Foundations.All UniMath.CategoryTheory.Core.Categories UniMath.CategoryTheory.Core.Functors UniMath.CategoryTheory.Core.NaturalTransformations UniMath.CategoryTheory.Core.Isos UniMath.CategoryTheory.Equivalences.Core UniMath.CategoryTheory.Equivalences.FullyFaithful UniMath.CategoryTheory.Monoidal.WhiskeredBifunctors UniMath.CategoryTheory.Monoidal.Categories