fact: Definition isaddmonoidfuntocommringfrac (X : commring) (S : @subabmonoid (ringmultabmonoid X)) : @ismonoidfun X (commringfrac X S) (tocommringfrac X S) := make_dirprod (isbinop1funtocommringfrac X S) (isunital1funtocommringfrac X S).
imports: UniMath.Algebra.Groups UniMath.MoreFoundations.Sets UniMath.MoreFoundations.Orders UniMath.Algebra.Monoids