fact: Definition rel_strength_rectangle_eq (ϛ : rel_strength_nat): UU := ∏ (w w' : Mon_W), ∏ (v : Mon_V), ϛ (w •W w', v) · #F (strong_monoidal_functor_μ_inv U (w, w') #⊗V identity v) · #F (alpha ((U w, U w'), v)) = strong_monoidal_functor_μ_inv U (w, w') #⊗V identity (F v) · alpha ((U w, U w'), F v) · identity (U w) #⊗V ϛ (w', v) · ϛ (w, U w' ⊗V v).
imports: UniMath.Foundations.PartD UniMath.MoreFoundations.All UniMath.CategoryTheory.Core.Categories UniMath.CategoryTheory.Core.Functors UniMath.CategoryTheory.Core.Isos UniMath.CategoryTheory.Core.NaturalTransformations UniMath.CategoryTheory.PrecategoryBinProduct UniMath.CategoryTheory.FunctorCategory UniMath.CategoryTheory.whiskering UniMath.CategoryTheory.HorizontalComposition UniMath.CategoryTheory.Monoidal.Categories UniMath.CategoryTheory.Monoidal.Functors UniMath.Bicategories.MonoidalCategories.EndofunctorsMonoidal UniMath.Bicategories.MonoidalCategories.Actions UniMath.CategoryTheory.Monoidal.WhiskeredBifunctors UniMath.CategoryTheory.Monoidal.AlternativeDefinitions.MonoidalCategoriesTensored UniMath.CategoryTheory.Monoidal.AlternativeDefinitions.MonoidalFunctorsTensored UniMath.Bicategories.MonoidalCategories.EndofunctorsWhiskeredMonoidal UniMath.Bicategories.Core.Bicat UniMath.Bicategories.Core.Examples.BicatOfCats