fact: Definition rcoset_in_lcoset_property {X : gr} {N : subgr X} (H : rcoset_in_lcoset N) (g : X) (n1 : N) : N (pr1 (rcoset_in_lcoset_witness H g n1)) := pr2 (rcoset_in_lcoset_witness H g n1).
imports: UniMath.MoreFoundations.Orders UniMath.MoreFoundations.Tactics UniMath.MoreFoundations.Subtypes UniMath.Algebra.BinaryOperations UniMath.Algebra.Monoids