Abu Hurairah (may Allah be pleased with him) narrates that Fatimah (may Allah be pleased with her) came to Abu Bakr (may Allah be pleased with him) and said: "Who will inherit from you after your death?" He replied: "My family and my children." Fatimah (may Allah be pleased with her) said: "Then why should I not inherit from my father?" Abu Bakr (may Allah be pleased with him) said: "I heard the Messenger of Allah (peace and blessings of Allah be upon him) say: 'We (the Prophets) do not leave any inheritance.'" (Then Abu Bakr (may Allah be pleased with him) said:) "But whatever the Messenger of Allah (peace and blessings of Allah be upon him) used to provide for, we will also provide for, and whatever he used to spend on, we will also spend on."

Imam Tirmidhi says:
1- The hadith of Abu Hurairah (may Allah be pleased with him) with this chain is Hasan Gharib.
2- It has been narrated musnad by Hammad bin Salamah and Abdulwahhab bin Ata; both of them, and Muhammad bin Amr, and Muhammad from Abu Salamah, and Abu Salamah from Abu Hurairah (may Allah be pleased with him). I asked Muhammad bin Ismail Bukhari about this hadith, and he said: "I do not know anyone besides Hammad bin Salamah who has narrated this hadith from Muhammad bin Amr, and Muhammad from Abu Salamah, and Abu Salamah from Abu Hurairah (marfu'an)." (Tirmidhi says: Yes,) Abdulwahhab bin Ata has also narrated from Muhammad bin Amr, and Muhammad from Abu Salamah, and Abu Salamah from Abu Hurairah, similar to the narration of Hammad bin Salamah.
3- In this chapter, there are also ahadith from Umar, Talhah, Zubair, Abdur Rahman bin Awf, Sa'd, and Aisha (may Allah be pleased with them).