fact: Definition fully_faithful_to_conservative {B : bicat} {a b : B} {f : a --> b} (Hf : fully_faithful_1cell f) : conservative_1cell f.
imports: UniMath.Foundations.All UniMath.MoreFoundations.All UniMath.CategoryTheory.Core.Categories UniMath.CategoryTheory.Core.Functors UniMath.CategoryTheory.Core.Isos UniMath.Bicategories.Core.Bicat UniMath.Bicategories.Core.Invertible_2cells UniMath.Bicategories.Morphisms.FullyFaithful