Are for Right-Rotation(T,x) and x.left=y; y.left = x.right following statements equal: (x.right).parent= y; (y.left).parent=y?

Question

Given: Binary Search Tree Right Rotation

Could one write instead of y.left=x.right (x.right).parent=y

also

y.left=x.right (y.left).parent=y

If not, w