Proof:
https://drive.google.com/file/d/11xMihRO9h3QEJYzg1sLYVHUOSQ9VrT0T/view?usp=sharing
https://drive.google.com/file/d/11Tdvg97QtohHUQALZ8yRcLJK0aCG9Ic_/view?usp=sharing