Definition underlyingAction_injectivity_comp' {G:gr} {X Y:Torsor G} : pr1weq (@underlyingAction_injectivity G X Y) = @maponpaths (Torsor G) (Action G) (@underlyingAction G) X Y. Proof. reflexivity. 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.