fact: Definition disp_braiding_law_naturality_left : UU := ∏ (x y1 y2 : C) (xx : D x) (yy1 : D y1) (yy2 : D y2) (g : C⟦y1,y2⟧) gg, transportf _ (monoidal_braiding_naturality_left B x y1 y2 g) (DB x y1 xx yy1 ;; gg ⊗⊗^{ DM}_{r} xx) = xx ⊗⊗^{ DM}_{l} gg ;; DB x y2 xx yy2.
imports: UniMath.Foundations.All UniMath.MoreFoundations.All UniMath.CategoryTheory.Core.Categories UniMath.CategoryTheory.Core.Functors UniMath.CategoryTheory.Core.Isos UniMath.CategoryTheory.Core.NaturalTransformations UniMath.CategoryTheory.DisplayedCats.Core UniMath.CategoryTheory.DisplayedCats.Functors UniMath.CategoryTheory.DisplayedCats.Isos UniMath.CategoryTheory.DisplayedCats.NaturalTransformations UniMath.CategoryTheory.DisplayedCats.Total UniMath.CategoryTheory.DisplayedCats.Projection UniMath.CategoryTheory.Monoidal.WhiskeredBifunctors UniMath.CategoryTheory.Monoidal.Categories UniMath.CategoryTheory.Monoidal.Functors UniMath.CategoryTheory.Monoidal.Displayed.WhiskeredDisplayedBifunctors UniMath.CategoryTheory.Monoidal.Displayed.Monoidal UniMath.CategoryTheory.Monoidal.Displayed.TotalMonoidal UniMath.CategoryTheory.Monoidal.Displayed.TransportLemmas UniMath.CategoryTheory.Monoidal.Structure.Symmetric