Whoever is pleased with Allah as Lord, Islam as religion and Muhammad as Messenger, Paradise becomes obligatory for him

It is narrated from Sayyiduna Abu Sa'id al-Khudri (may Allah be pleased with him) that he heard the Messenger of Allah (peace and blessings be upon him) say: "Whoever is pleased with Allah as Lord, with Islam as religion and with Muhammad (peace and blessings be upon him) as Messenger, Paradise becomes obligatory for him." Sayyiduna Abu Sa'id (may Allah be pleased with him) said: (Hearing this) I praised Allah, said the takbir and was very happy. Then the Messenger of Allah (peace and blessings be upon him) said: "And there is another deed by which Allah Almighty raises the rank of the servant in Paradise by one hundred degrees, and between every two degrees is a distance like that between the heaven and the earth, or (he (peace and blessings be upon him) said) greater than the distance between the heaven and the earth." I said: O Messenger of Allah, what is that deed? He (peace and blessings be upon him) said: "Jihad in the way of Allah, jihad in the way of Allah."
This hadith has a sahih (authentic) chain of narration, but the two Shaykhs (Bukhari and Muslim) did not record it.

It is narrated from Sayyiduna Abu Burdah bin Qays (may Allah be pleased with him), the brother of Sayyiduna Abu Musa al-Ash'ari (may Allah be pleased with him), that the Messenger of Allah (peace and blessings be upon him) made this supplication: 'Allahumma ij'al fana'a ummati qatlan fi sabilika bit-ta'ni wat-ta'un' (O Allah, decree the end of my Ummah to be martyrdom in Your way, through the wounds of spears (on the battlefield) and the plague).
This hadith has a sahih (authentic) chain of narration, but the two Shaykhs (Bukhari and Muslim) did not record it.