:: deftheorem Def15 defines compSURREALR:def 15 : for x, y being Surreal for X, Y, b5 being set holds ( b5=comp (X,x,y,Y) iff for o being object holds ( o in b5 iff ex x1, y1 being Surreal st ( o =((x1 * y)+(x * y1))-(x1 * y1) & x1 in X & y1 in Y ) ) );