If you lead people in prayer as an imam and remember after the taslim that you were not in a state of ritual purity, do they have to repeat the prayer?

The questioner:
Honorable Shaykh, may Allah grant you success, he says: I led people in prayer as an imam, and after the taslim I remembered that I was not in a state of ritual purity, so I ordered the congregation to repeat the prayer.

The Shaykh:
That is a mistake. If you remembered while you were in the prayer, you should leave and not continue in it while you are not in a state of ritual purity, and you should appoint someone to lead them, or tell them to wait until I come. But if you continue while you are not in a state of ritual purity and you know this, it is not permissible; it is forbidden for you. Yes, repeat the question.

The questioner:
He says: I led people in prayer, and after the taslim I remembered that I was...

The Shaykh:
As for if you did not remember until after the taslim, then as mentioned before, their prayer is valid. And as for you, you repeat the prayer, as 'Umar ibn al-Khattab (may Allah be pleased with him) did.