[Machine] That the Messenger of Allah ﷺ used to perform ablution, then pray the two units of the Fajr prayer, and I do not see him making ablution after performing the ritual washing.
أَنَّ رَسُولَ اللهِ ﷺ كَانَ يَغْتَسِلُ ثُمَّ يُصَلِّي الرَّكْعَتَيْنِ صَلَاةَ الْفَجْرِ وَلَا أَرَى يُحْدِثُ وُضُوءًا بَعْدَ الْغُسْلِ
The Messenger of Allah ﷺ took a bath and offered two rak'ahs of prayer and said the dawn prayer. I do not think he performed ablution afresh after taking a bath.
كَانَ رَسُولُ اللَّهِ ﷺ يَغْتَسِلُ وَيُصَلِّي الرَّكْعَتَيْنِ وَصَلاَةَ الْغَدَاةِ وَلاَ أُرَاهُ يُحْدِثُ وُضُوءًا بَعْدَ الْغُسْلِ
The Messenger of Allah ﷺ took a bath and offered two rak'ahs of prayer and said the dawn prayer. I do not think he performed ablution afresh after taking a bath. (Using translation from Abū Dāʾūd 250)
أَنَّ رَسُولَ اللهِ ﷺ كَانَ يَغْتَسِلُ وَيُصَلِّي الرَّكْعَتَيْنِ وَصَلَاةَ الْغَدَاةِ لَا أَرَاهُ يُحْدِثُ وُضُوءًا بَعْدَ الْغُسْلِ
The Messenger of Allah ﷺ took a bath and offered two rak'ahs of prayer and said the dawn prayer. I do not think he performed ablution afresh after taking a bath. (Using translation from Abū Dāʾūd 250)
أَنَّ رَسُولَ اللهِ ﷺ كَانَ يَغْتَسِلُ وَيُصَلِّي الرَّكْعَتَيْنِ لَا أُرَاهُ يُحْدِثُ وُضُوءًا بَعْدَ الْغُسْلِ