Saying 'Bismillah' While Starting Wudu'

Narrated AbuHurayrah:

The Messenger of Allah (ﷺ) said: The prayer of a person who does not perform ablution is not valid, and the ablution of a person who does not mention the name of Allah (in the beginning) is not valid.

حَدَّثَنَا قُتَيْبَةُ بْنُ سَعِيدٍ، حَدَّثَنَا مُحَمَّدُ بْنُ مُوسَى، عَنْ يَعْقُوبَ بْنِ سَلَمَةَ، عَنْ أَبِيهِ، عَنْ أَبِي هُرَيْرَةَ، قَالَ قَالَ رَسُولُ اللَّهِ صلى الله عليه وسلم ‏

‏ لاَ صَلاَةَ لِمَنْ لاَ وُضُوءَ لَهُ وَلاَ وُضُوءَ لِمَنْ لَمْ يَذْكُرِ اسْمَ اللَّهِ تَعَالَى عَلَيْهِ ‏

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Explaining the tradition of the Prophet (ﷺ) that the ablution of a person who does not mention the name of Allah is valid, Rabi’ah said:

This tradition means that if a person performs ablution and takes a bath but does not have the intention to perform ablution for prayer and purify himself from sexual defilement, his ablution or bath is not valid.

حَدَّثَنَا أَحْمَدُ بْنُ عَمْرِو بْنِ السَّرْحِ، حَدَّثَنَا ابْنُ وَهْبٍ، عَنِ الدَّرَاوَرْدِيِّ، قَالَ وَذَكَرَ رَبِيعَةُ أَنَّ تَفْسِيرَ، حَدِيثِ النَّبِيِّ صلى الله عليه وسلم ‏

‏ لاَ وُضُوءَ لِمَنْ لَمْ يَذْكُرِ اسْمَ اللَّهِ عَلَيْهِ ‏

‏ ‏.‏ أَنَّهُ الَّذِي يَتَوَضَّأُ وَيَغْتَسِلُ وَلاَ يَنْوِي وُضُوءًا لِلصَّلاَةِ وَلاَ غُسْلاً لِلْجَنَابَةِ ‏.‏