Definition preserves_rightunitalityinv {C D : category} {M : monoidal C} {N : monoidal D} {F : functor C D} (pt : preserves_tensordata M N F) (pu : preserves_unit M N F) : UU := ∏ (x : C), ruinv^{ N }_{ F x} · F x ⊗^{ N}_{l} pu · pt x I_{M} = # F ruinv^{ M }_{ x}.
Require Import UniMath.Foundations.All. Require Import UniMath.MoreFoundations.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.whiskering. Require Import UniMath.CategoryTheory.Monoidal.WhiskeredBifunctors. Require Import UniMath.CategoryTheory.Monoidal.Categories. Require Import UniMath.CategoryTheory.Monoidal.Structure.Symmetric. Import BifunctorNotations. Import MonoidalNotations.