Lemma quotient_uniqueness {G} {X:Torsor G} (y x:X) (g:G) : g*x = y → g = y/x. Proof. intros e. exact (maponpaths pr1 (uniqueness (is_quotient _ y x) (g,,e))). Defined.
Require Import UniMath.Foundations.All. Require Import UniMath.MoreFoundations.Propositions. Require Import UniMath.MoreFoundations.Notations. Require Import UniMath.MoreFoundations.Univalence. Require Import UniMath.MoreFoundations.Tactics. Require Import UniMath.Algebra.Monoids. Require Import UniMath.Algebra.Groups. Require Import UniMath.OrderTheory.OrderedSets.OrderedSets. Import UniMath.MoreFoundations.PartA.