Hadithcore
Mishkat al-Masabih, 402, 403, 404

Sa'id b. Zaid reported God’s messenger as saying, "He who does not mention God’s name while performing ablution is not credited with having performed it.” Tirmidhi and Ibn Majah transmitted it. Ahmad and Abu Dawud transmitted it from Abu Huraira, and Darimi from Abu Sa'id al-Khudri from his father, and they added at the beginning, “He who has not performed ablution is not credited with observing prayer”.

وَعَن سعيد بْنِ زَيْدٍ قَالَ: قَالَ رَسُولُ اللَّهِ صَلَّى اللَّهُ عَلَيْهِ وَسَلَّمَ: «لَا وُضُوءَ لِمَنْ لَمْ يَذْكُرِ اسْمَ الله عَلَيْهِ» . رَوَاهُ التِّرْمِذِيّ وَابْن مَاجَه وَرَوَاهُ أَحْمَدُ وَأَبُو دَاوُدَ عَنْ أَبِي هُرَيْرَةَ والدارمي عَن أبي سعيد الْخُدْرِيّ عَن أَبِيه وَزَادُوا فِي أَوله:

لا صلاة لمن لا وضوءَ له

References1 variant
In-Book Reference
Book 3, Hadith 109