When Lan Wangji is sixteen, his mother dies.
He tries to stab himself with a sword, and he can't break the skin. He tries to drink poison, and he spits it out. He tries to hang himself, and his hands refuse to form the noose. Eventually he decides to climb a mountain and sit in the snow until he dies, since this doesn't involve any actions that he might be unable to do.
Forty-eight hours later, he is still alive.
That is how it's discovered that the reason Lan Xichen has never successfully taken a council member is that he is not the heir to the Empire; Lan Wangji bears the Ray.