fact: Definition E₁_to_E₂ : E₁ → E₂ := λ x, (pr11 x ,, (pr21 x ,, pr2 x)).
imports: UniMath.Foundations.All UniMath.MoreFoundations.All UniMath.CategoryTheory.Core.Categories UniMath.CategoryTheory.Core.Functors UniMath.CategoryTheory.PrecategoryBinProduct UniMath.CategoryTheory.DisplayedCats.Core UniMath.CategoryTheory.DisplayedCats.Constructions UniMath.Bicategories.Core.Bicat UniMath.Bicategories.DisplayedBicats.DispBicat UniMath.Bicategories.Core.EquivToAdjequiv UniMath.Bicategories.Core.AdjointUnique UniMath.Bicategories.DisplayedBicats.DispInvertibles UniMath.Bicategories.DisplayedBicats.DispAdjunctions UniMath.Bicategories.DisplayedBicats.DispUnivalence