fact: Definition tocommringfrac (X : commring) (S : @subabmonoid (ringmultabmonoid X)) (x : X) : commringfrac X S := setquotpr _ (make_dirprod x (unel S)).
imports: UniMath.Algebra.Groups UniMath.MoreFoundations.Sets UniMath.MoreFoundations.Orders UniMath.Algebra.Monoids