The Messenger of Allah ﷺ never slept before the night prayer, nor did he stay up talking after it.
حدثنا أبو أحمد حدثنا عبد الله يعني ابن عبد الرحمن بن يعلى الثقفي عن عبد الرحمن بن القاسم عن أبيه
ما نام رسول الله ﷺ قبل العشاء ولا سهر بعدها
Its isnad is sahih, it has already appeared under 19310, and Abdullah bin Abdul-Rahman bin Yaala is trustworthy, his hadith appearing in Muslim and the four Sunan.