Jami` at-Tirmidhi Book 17, Hadith 10
"The Quraish were troubled by the affair of a woman from the tribe of Makhzum who stole. So they said: 'Who will speak about her to the Messenger of Allah (ﷺ)?' They said: 'Who can do it other than Usamah bin Zaid, the one dear to the Messenger of Allah?' So Usamah spoke with him, the Messenger of Allah (ﷺ) said: 'Do you intercede about a penalty from Allah's penalties?' Then he stood up and adressed the people saying: 'Those before you were only destroyed because they used to leave a noble person if he stole. And if a weak person stole they would establish the penalty upon him. And by Allah! If Fatimah bint Muhammad stole, then I would cut off her hand."
"A man from the tribe of Aslam came to the Prophet (ﷺ) and confessed adultery. He turned away from him, the he confessed (again). Then he turned away from him (again) until he had testified against himself four times. So the Prophet (ﷺ) said: "Are you insane?" He said:"No" He said: "Are you married?" He said: "Yes". So he gave the order and he was stoned at the Musalla. He ran when he was stuck by the stones, and he was caught and stoned until he died. So the Messenger of Allah (ﷺ) spoke well of him but he did not perform the (funeral) Salat for him.
"The Messenger of Allah (ﷺ) stoned, Abu Bakr stoned, and I stoned. If I didn't dislike that I add to the Book of Allah. I would have written it in the Mushaf, for I fear that there will come a people and they will not find it in the Book of Allah, so they will disbelieve in it."