Definition orthogonal_lifting {b₁ b₂ c₁ c₂ : B} (f : b₁ --> b₂) (g : c₁ --> c₂) (Lf : orthogonal_left_class f) (Rg : orthogonal_right_class g) : f ⊥ g := pr22 (pr222 fact_B) _ _ _ _ f g Lf Rg.
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.