Lemma isBaseConnected_BG (G:gr) : isBaseConnected (B G). Proof. intros X. use (hinhfun _ (torsor_nonempty X)); intros x. exact (torsor_eqweq_to_path (triviality_isomorphism X x)). 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.