Definition commringfracop1 (X : commring) (S : @subabmonoid (ringmultabmonoid X)) : binop (setquotinset (eqrelcommringfrac X S)) := setquotfun2 (eqrelcommringfrac X S) (eqrelcommringfrac X S) (commringfracop1int X S) (commringfracop1comp X S).
Require Import UniMath.Algebra.Groups. Require Import UniMath.MoreFoundations.Sets. Require Import UniMath.MoreFoundations.Orders.