fact: Definition eso_ff_factorization (B : bicat) : UU := ∏ (b₁ b₂ : B) (f : b₁ --> b₂), ∑ (im : B) (f' : b₁ --> im) (m : im --> b₂), is_eso f' × fully_faithful_1cell m × invertible_2cell (f' · m) f.
imports: UniMath.Foundations.All UniMath.MoreFoundations.All UniMath.CategoryTheory.Core.Categories UniMath.CategoryTheory.Core.Functors UniMath.CategoryTheory.Core.NaturalTransformations UniMath.CategoryTheory.Core.Isos UniMath.CategoryTheory.Core.Univalence UniMath.CategoryTheory.Adjunctions.Core UniMath.CategoryTheory.Equivalences.Core UniMath.CategoryTheory.Equivalences.FullyFaithful UniMath.CategoryTheory.IsoCommaCategory UniMath.Bicategories.Core.Bicat UniMath.Bicategories.Core.Invertible_2cells UniMath.Bicategories.Core.Univalence UniMath.Bicategories.Core.AdjointUnique UniMath.Bicategories.Core.Examples.BicatOfUnivCats UniMath.Bicategories.Morphisms.FullyFaithful UniMath.Bicategories.Morphisms.Adjunctions UniMath.Bicategories.Morphisms.Properties.ClosedUnderInvertibles UniMath.Bicategories.OrthogonalFactorization.Orthogonality UniMath.Bicategories.Limits.Pullbacks UniMath.Bicategories.Limits.PullbackFunctions UniMath.Bicategories.Limits.PullbackEquivalences UniMath.Bicategories.Limits.Examples.BicatOfUnivCatsLimits