thus for w being Element of RAT holds multrat . z,w = w :: according to BINOP_1:def 7,BINOP_1:def 16 :: thesis: z is_a_right_unity_wrt multrat

proof

let w be Element of RAT ; :: thesis: multrat . z,w = w
thus multrat . z,w = 1 * w by Def17
.= w ; :: thesis: verum

end;

let w be Element of RAT ; :: according to BINOP_1:def 17 :: thesis: multrat . w,z = w
thus multrat . w,z = w * 1 by Def17
.= w ; :: thesis: verum