The Prophet ﷺ used to say the takbir at every rising and lowering, and Abu Bakr and Umar did the same.
حدثنا وكيع عن إسرائيل عن أبي إسحاق عن عبد الرحمن بن الأسود أخبرنا الأسود وعلقمة أو أحدهما
أن النبي ﷺ كان يكبر في كل رفع وخفض قال وفعله أبو بكر وعمر رضي الله عنهما
Its isnad is sahih, and it is an abridgment of 4055. In ha, it reads "from Abu Ishaq, from Abdul-Rahman bin Aswad and Alqama, or one of them," which is a clear error, as is evident from the preceding narrations, so we have adopted what is in kaf.