(
) Take z = g = n. Then z y - r z y + r X = z (y - r y + r x) and this gives X = z x.
(
g) Take X = g x. Then g y - r(g y - g x)) = n (y - r (y - x)), so that n = g.
(
n) Take X = n x. Then
g y - r(g y - n x)) = n (y - r (y - x))
(
) Take z = g = n. Then z y - r z y + r X = z (y - r y + r x) and this gives X = z x.
(
g) Take X = g x. Then g y - r(g y - g x)) = n (y - r (y - x)), so that n = g.
(
n) Take X = n x. Then
g y - r(g y - n x)) = n (y - r (y - x))