Definition conservative_1cell_locally_groupoid {B : bicat} (HB : locally_groupoid B) {a b : B} (f : a --> b) : conservative_1cell f. Proof. intros x g₁ g₂ α Hα. apply HB. Defined.
Require Import UniMath.Foundations.All. Require Import UniMath.MoreFoundations.All. Require Import UniMath.CategoryTheory.Core.Categories. Require Import UniMath.CategoryTheory.Core.Functors. Require Import UniMath.CategoryTheory.Core.Isos. Require Import UniMath.Bicategories.Core.Bicat. Import Bicat.Notations. Require Import UniMath.Bicategories.Core.Invertible_2cells. Require Import UniMath.Bicategories.Morphisms.FullyFaithful.