Definition θ_Strength2_int_nicest : UU := ∏ (X : [C, D']) (Z Z' : Ptd), θ (X ⊗ (Z p• Z')) = θ (X ⊗ Z') •• (U Z) · θ ((functor_compose (U Z') X) ⊗ Z) · #H (lassociator_CAT (U Z) (U Z') X ).
Require Import UniMath.Foundations.PartD. Require Import UniMath.CategoryTheory.Core.Categories. Require Import UniMath.CategoryTheory.Core.Functors. Require Import UniMath.CategoryTheory.Core.Isos. Require Import UniMath.CategoryTheory.Core.NaturalTransformations. Require Import UniMath.CategoryTheory.whiskering. Require Import UniMath.CategoryTheory.FunctorCategory. Require Import UniMath.CategoryTheory.PointedFunctors. Require Import UniMath.CategoryTheory.PrecategoryBinProduct. Require Import UniMath.CategoryTheory.HorizontalComposition. Require Import UniMath.CategoryTheory.BicatOfCatsElementary. Require Import UniMath.SubstitutionSystems.Notation.