Do not use AI for this or you will be reported. AI doesn't work for this. I will know if you use AI$.$

Problem $8.(5$ points$)($Exercise $12\mathrm{.}3-5$ in the CLRS textbook$)$

Is the operation of deletion "commutative" in the sense that deleting x and then y from a binary search tree

leaves the same tree as deleting y and then x $?$ Argue why it is or give a counterexample.