Definition orthogonal_maps {B : bicat} (L R : ∏ (x y : B), x --> y → hProp) : UU := ∏ (b₁ b₂ c₁ c₂ : B) (f : b₁ --> b₂) (g : c₁ --> c₂), L _ _ f → R _ _ g → f ⊥ g.
Require Import UniMath.Foundations.All. Require Import UniMath.MoreFoundations.All. Require Import UniMath.CategoryTheory.Core.Prelude. Require Import UniMath.CategoryTheory.IsoCommaCategory. Require Import UniMath.Bicategories.Core.Bicat. Import Bicat.Notations. Require Import UniMath.Bicategories.Core.Invertible_2cells. Require Import UniMath.Bicategories.Core.EquivToAdjequiv. Require Import UniMath.Bicategories.Morphisms.Adjunctions. Require Import UniMath.Bicategories.OrthogonalFactorization.Orthogonality.