Proof:

https://drive.google.com/file/d/1Jz75UfhoPONXpJFWdiRnzdGPuuHqYGHw/view?usp=sharing

https://drive.google.com/file/d/1KJSCsUdqDOFZtPQN2rIsNvi0EG7fHs3C/view?usp=sharing