fact: Definition orthogonal_factorization_system (B : bicat) : UU := ∑ (L R : ∏ (x y : B), x --> y → hProp), (∏ (x y : B) (f : x --> y), factorization_1cell L R f) × closed_under_invertible_2cell L × closed_under_invertible_2cell R × orthogonal_maps L R.
imports: UniMath.Foundations.All UniMath.MoreFoundations.All UniMath.CategoryTheory.Core.Prelude UniMath.CategoryTheory.IsoCommaCategory UniMath.Bicategories.Core.Bicat UniMath.Bicategories.Core.Invertible_2cells UniMath.Bicategories.Core.EquivToAdjequiv UniMath.Bicategories.Morphisms.Adjunctions UniMath.Bicategories.OrthogonalFactorization.Orthogonality