Definition torsorMap_to_path {G:gr} {X Y:Torsor G} : ActionMap X Y → X = Y. Proof. intros f. apply (invweq torsor_univalence). apply torsorMap_to_torsorIso. exact f. 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.