Lemma iscontr_EG (G:gr) : iscontr (E G). Proof. intros. exists (pointedTrivialTorsor G). intros [X x]. apply pathsinv0. apply (invweq Pointedtorsor_univalence). apply pointed_triviality_isomorphism. 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.