Man Lā Yaḥḍuruh al-Faqīh #1198"The Imam bears the mistakes (or forgetfulness) of those who pray behind him, except for the opening takbir (takbirat al-ihram)."
Al-Kāfi #1393“Abu ‘Abd Allah (a.s.), has said, ‘Mistake is not applicable in the case of an Imam, in the case of those behind an Imam, and it is not...