Is it permissible for the ma'mum to send blessings upon the Prophet (peace and blessings be upon him) when the imam recites the words of Allah (Indeed, Allah and His angels send blessings upon the Prophet...)?
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Question:
May Allah reward you. This questioner asks: Is it prescribed for me, while I am reciting in the prayer the words of Allah, Blessed and Exalted is He,[Al-Ahzab 33:56-57], to send blessings upon the Prophet (peace and blessings be upon him)? And likewise, if I hear the imam reciting it.
Answer:
Yes, this is recommended, but do not raise your voice with it so that you do not disturb those around you. Yes.
May Allah reward you. This questioner asks: Is it prescribed for me, while I am reciting in the prayer the words of Allah, Blessed and Exalted is He,
O you who have believed, ask [Allah to confer] blessing upon him and ask [Allah to grant him] peace.
يَا أَيُّهَا الَّذِينَ آمَنُوا صَلُّوا عَلَيْهِ وَسَلِّمُوا تَسْلِيمًا إِنَّAnswer:
Yes, this is recommended, but do not raise your voice with it so that you do not disturb those around you. Yes.
Source
قناة «العلامة الدكتور صالح الفوزان»، 1325-هل يجوز للمأموم أن يصلي على النبيﷺ إذا قرأ الإمام قول الله (إن الله وملائكته يصلون على النبي..) — youtube.com
The Arabic text is a machine transcription of the audio recording.