Malik bin Aws bin Hadthan says: I went to Umar bin Khattab (may Allah be pleased with him), and at that time, Uthman bin Affan, Zubair bin Awwam, Abdur Rahman bin Awf, and Sa’d bin Abi Waqqas (may Allah be pleased with them) also arrived. Then Ali and Abbas (may Allah be pleased with them both) came while disputing. Umar (may Allah be pleased with him) said to them: I ask you by Allah, by whose command the heavens and the earth are established, do you know that the Messenger of Allah (peace and blessings be upon him) said:“We (i.e., the Prophets) have no heirs; whatever we leave behind is charity”? The people said: Yes! Umar (may Allah be pleased with him) said: When the Messenger of Allah (peace and blessings be upon him) passed away, Abu Bakr (may Allah be pleased with him) said: I am the successor of the Messenger of Allah (peace and blessings be upon him). Then you came to Abu Bakr (may Allah be pleased with him), seeking your share from the inheritance of your nephew, and this one (came) seeking the inheritance of her father for his wife. Abu Bakr (may Allah be pleased with him) said: Indeed, the Messenger of Allah (peace and blessings be upon him) said:“We (i.e., the Prophets) have no heirs; whatever we leave behind is charity.”(Umar [may Allah be pleased with him] said) Allah knows best, Abu Bakr was truthful, righteous, good, and a follower of the truth. Imam Tirmidhi says:
There is detail in this hadith; this hadith from Malik bin Aws’s narration is Hasan Sahih Gharib.

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).