"The Messenger of Allah ﷺ used to say the takbir every time he went down and came up, and he would say the Salam to his right and his left. And Abu Bakr and 'Umar used to do likewise." (Using translation from Nasāʾī 1083)
«كَانَ رَسُولُ اللهِ ﷺ يُكَبِّرُ فِي كُلِّ خَفْضٍ وَرَفْعٍ وَيُسَلِّمُ عَنْ يَمِينِهِ وَعَنْ يَسَارِهِ» وَكَانَ أَبُو بَكْرٍ وَعُمَرَ يَفْعَلَانِهِ