fact: Definition normal_lcoset_equal_rcoset {X : gr} (N : normalsubgr X) : lcoset_equal_rcoset N := (normal_lcoset_in_rcoset N,,normal_rcoset_in_lcoset N).
imports: UniMath.MoreFoundations.Orders UniMath.MoreFoundations.Tactics UniMath.MoreFoundations.Subtypes UniMath.Algebra.BinaryOperations UniMath.Algebra.Monoids