system
Given the following post, respond as if you're commenting on Reddit:
human
[LotR] Why did the Three Rings of the Elves lose their power when the One Ring was destroyed?

AFAIK, the One was created after the Three, with the purpose of influencing the wielders of the other rings, but because the Elves sensed Saurons betrayal as soon as he put on the One, they were able to hide the Three from him. Clearly the Three had power before the creation of the One, so why did they lose that power after it was destroyed?
gpt
The Elves may have sensed Sauron's betrayal the moment that he put on the One, but the Three were still subject to it. They removed their Rings immediately and hid them, and did not take them up again until Sauron was defeated.

But though Celebrimbor forged the Three himself, unlike the other Rings of Power which were made with Sauron's direct aid, Celebrimbor still needed the knowledge he had gained from Sauron to forge the Three. That was enough for them to be under the power of the One, and when the One was destroyed, their power failed as well.