fact: Definition orthogonal_essentially_surjective : UU := ∏ (φ₁ : b₁ --> c₁) (φ₂ : b₂ --> c₂) (α : invertible_2cell (φ₁ · g) (f · φ₂)), ∑ (l : b₂ --> c₁) (ζ₁ : invertible_2cell (f · l) φ₁) (ζ₂ : invertible_2cell (l · g) φ₂), (ζ₁ ▹ g) • α = rassociator _ _ _ • (f ◃ ζ₂).
imports: UniMath.Foundations.All UniMath.MoreFoundations.All UniMath.CategoryTheory.Core.Prelude 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.Properties.ClosedUnderInvertibles UniMath.Bicategories.Limits.Pullbacks UniMath.Bicategories.Limits.PullbackFunctions UniMath.Bicategories.Limits.PullbackEquivalences UniMath.Bicategories.Limits.Examples.BicatOfUnivCatsLimits