fact: Definition conservative_1cell {B : bicat} {a b : B} (f : a --> b) : UU := ∏ (x : B) (g₁ g₂ : x --> a) (α : g₁ ==> g₂), is_invertible_2cell (α ▹ f) → is_invertible_2cell α.
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