set E = EqRel (R,I);
let x, y be Element of (R / I); :: according to GROUP_1:def 12 :: thesis: x * y = y * x
consider a being Element of R such that
A1: x = Class ((EqRel (R,I)),a) by Th11;
consider b being Element of R such that
A2: y = Class ((EqRel (R,I)),b) by Th11;
thus x * y = Class ((EqRel (R,I)),(a * b)) by A1, A2, Th14
.= y * x by A1, A2, Th14 ; :: thesis: verum