Definition ismultmonoidfuntocommringfrac (X : commring) (S : @subabmonoid (ringmultabmonoid X)) : @ismonoidfun (ringmultmonoid X) (ringmultmonoid (commringfrac X S)) (tocommringfrac X S) := isbinop2funtocommringfrac X S ,, isunital2funtocommringfrac X S.
Require Import UniMath.Algebra.Groups. Require Import UniMath.MoreFoundations.Sets. Require Import UniMath.MoreFoundations.Orders.