Prove the negation of the statement $$if x$+$y $>2024,$ then x $>2024$ or y $>2024$ is logically equivalent to the statement $$x $+$ y $>2024$ and x $<=2024$ and y $<=2024.($Hint: You may use the fact $($x $>2024)$ x $<=2024.$ Be sure to cite the use of Theorem $2\mathrm{.}10$ and De Morgan$$s laws at the appropriate junctures of your proof.$)$