fact: Definition loopsBG_comp' {G:gr} (p : Ω (B G)) : invmap (loopsBG G) p = path_to_ActionIso (maponpaths underlyingAction p) (unel G).
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