fact: Definition orthogonal_faithful : UU := ∏ (l₁ l₂ : b₂ --> c₁) (ζ₁ ζ₂ : l₁ ==> l₂), f ◃ ζ₁ = f ◃ ζ₂ → ζ₁ ▹ g = ζ₂ ▹ g → ζ₁ = 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