If the imam forgets the first tashahhud and some of the worshippers do not realize it until the ruku', is the recitation of al-Fatihah dropped for them?

The questioner:
May Allah reward you, Your Eminence, father. The questioner says: If the imam makes a mistake and stands up from the first tashahhud, and some of the worshippers do not realize it until after he has said the takbir for ruku', some of them stood up and bowed without reciting al-Fatihah, and some of them said the taslim to end the prayer and started over from the beginning. What is the correct action for both groups?

The Shaykh:
The one who started the prayer over from the beginning made a mistake; this is a mistake. It was obligatory for them, since they did not catch up with the imam in ruku', to perform a rak'ah in place of the rak'ah they did not bow in with the imam. As for those who stood up and bowed with the imam, their prayer is valid, and the recitation of al-Fatihah is dropped for them. Yes.

The presenter:
You have done well.

The Shaykh:
And Allah the Exalted knows best, and may Allah send prayers and peace upon our Prophet Muhammad and upon his family and peace be upon them.