The Book of Mosques and Places of Prayer
وَحَدَّثَنَا حَسَنُ بْنُ الرَّبِيعِ، حَدَّثَنَا عَبْدُ اللَّهِ بْنُ الْمُبَارَكِ، عَنْ مَعْمَرٍ، عَنِ ابْنِ طَاوُسٍ، عَنْ أَبِيهِ، عَنِ ابْنِ عَبَّاسٍ، عَنْ أَبِي هُرَيْرَةَ، قَالَ قَالَ رَسُولُ اللَّهِ صلى الله عليه وسلم " مَنْ أَدْرَكَ مِنَ الْعَصْرِ رَكْعَةً قَبْلَ أَنْ تَغْرُبَ الشَّمْسُ فَقَدْ أَدْرَكَ وَمَنْ أَدْرَكَ مِنَ الْفَجْرِ رَكْعَةً قَبْلَ أَنْ تَطْلُعَ الشَّمْسُ فَقَدْ أَدْرَكَ " .Abu Huraira reported:The Messenger of Allah (ﷺ) said: He who finds (gets) a rak'ah of the afternoon (prayer) before the setting of the sun, he in fact gets (the full prayer), and he who gets a rak'ah of the morning (prayer) before the rising of the sun he in fact gets (the full prayer)
From Sahih Muslim, whose reports the scholars accept as authentic.