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tirmidhi:2370Ṣāliḥ b. ʿAbdullāh > Abū ʿAwānah > ʿAbd al-Malik b. ʿUmayr > Abū Salamah b. ʿAbd al-Raḥman

the Messenger of Allah ﷺ went out one day accompained by Abu Bakr and 'Umar. And he mentioned similar to Hadith( no 2369) in meaning, but he did not mention "from Abu Hurairah" in it.  

الترمذي:٢٣٧٠حَدَّثَنَا صَالِحُ بْنُ عَبْدِ اللَّهِ حَدَّثَنَا أَبُو عَوَانَةَ عَنْ عَبْدِ الْمَلِكِ بْنِ عُمَيْرٍ عَنْ أَبِي سَلَمَةَ بْنِ عَبْدِ الرَّحْمَنِ

أَنَّ رَسُولَ اللَّهِ ﷺ خَرَجَ يَوْمًا وَأَبُو بَكْرٍ وَعُمَرُ فَذَكَرَ نَحْوَ هَذَا الْحَدِيثِ وَلَمْ يَذْكُرْ فِيهِ عَنْ أَبِي هُرَيْرَةَ وَحَدِيثُ شَيْبَانَ أَتَمُّ مِنْ حَدِيثِ أَبِي عَوَانَةَ وَأَطْوَلُ وَشَيْبَانُ ثِقَةٌ عِنْدَهُمْ صَاحِبُ كِتَابٍ وَقَدْ رُوِيَ عَنْ أَبِي هُرَيْرَةَ هَذَا الْحَدِيثُ مِنْ غَيْرِ هَذَا الْوَجْهِ وَرُوِيَ عَنِ ابْنِ عَبَّاسٍ أَيْضًا