It was mentioned in the presence of `Aisha that the Prophet (ﷺ) had appointed `Ali as successor by will.
Thereupon she said, "Who said so? I saw the Prophet, while I was supporting him against my chest.
He asked for a tray, and then fell on one side and expired, and I did not feel it. So how (do the people
say) he appointed `Ali as his successor?"
Sahih al-Bukhari Book 64, Hadith 475