fact: Definition prcommringfrac (X : commring) (S : @subabmonoid (ringmultabmonoid X)) : X -> S -> commringfrac X S := λ x s, setquotpr _ (make_dirprod x s).
imports: UniMath.Algebra.Groups UniMath.MoreFoundations.Sets UniMath.MoreFoundations.Orders UniMath.Algebra.Monoids