Definition preserves_leftunitality'' {C D : category} {M : monoidal C} {N : monoidal D} {F : functor C D} (Fm : fmonoidal M N F) : ∏ (x : C), (pr1 (fmonoidal_preservestensorstrongly Fm I_{M} x)) · (pr1 (fmonoidal_preservesunitstrongly Fm) ⊗^{N} (identity (F x))) · lu^{N}_{F x} = #F (lu^{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.