proposition: Theorem loopsBG (G:gr) : G ≃ Ω (B G).
proof: Proof. intros. simple refine (weqcomp _ (invweq torsor_univalence)). apply trivialTorsorRightMultiplication. Defined.
imports: UniMath.Foundations.All UniMath.MoreFoundations.Propositions UniMath.MoreFoundations.Notations UniMath.MoreFoundations.Univalence UniMath.MoreFoundations.Tactics UniMath.Algebra.Monoids UniMath.Algebra.Groups UniMath.Combinatorics.OrderedSets