Sahih al-Bukhari, Volume 7, Book 65, Hadith 316 (USC-MSA) ⓘ
Narrated Ibn 'Abbas: The Prophet ate of the meat of a shoulder (by cutting the meat with his teeth), and then got up and offered the prayer without performing the ablution anew.
حَدَّثَنَا عَبْدُ اللَّهِ بْنُ عَبْدِ الْوَهَّابِ، حَدَّثَنَا حَمَّادٌ، حَدَّثَنَا أَيُّوبُ، عَنْ مُحَمَّدٍ، عَنِ ابْنِ عَبَّاسٍ ـ رضى الله عنهما ـ قَالَ تَعَرَّقَ رَسُولُ اللَّهِ صلى الله عليه وسلم كَتِفًا، ثُمَّ قَامَ فَصَلَّى، وَلَمْ يَتَوَضَّأْ.
also referenced under: Book 70, Hadith 32 (In-Book) & Hadith 5404 (DarusSalam)
Narrated Ibn 'Abbas: The Prophet took out a bone with meat on it from a cooking pot and ate of it, and then offered the prayer without performing ablution anew.
وَعَنْ أَيُّوبَ، وَعَاصِمٍ، عَنْ عِكْرِمَةَ، عَنِ ابْنِ عَبَّاسٍ، قَالَ انْتَشَلَ النَّبِيُّ صلى الله عليه وسلم عَرْقًا مِنْ قِدْرٍ فَأَكَلَ، ثُمَّ صَلَّى، وَلَمْ يَتَوَضَّأْ.
also referenced under: Book 70, Hadith 33 (In-Book) & Hadith 5405 (DarusSalam)