Ali mentioned the daughter of Abu Jahl, and word of this reached the Prophet ﷺ, who said, "Fatimah is but a part of me. What harms her harms me, and what troubles her troubles me."
حدثنا إسماعيل بن إبراهيم قال أخبرنا أيوب عن عبد الله بن أبي مليكة
أن عليا ذكر ابنة أبي جهل فبلغ ذلك النبي ﷺ فقال إنما فاطمة بضعة مني يؤذيني ما آذاها وينصبني ما أنصبها
Its isnad is sahih. Ayub is Ibn Abu Tamima Sakhtiyani.The hadith was narrated by Tirmidhi 5/698, no. 3867, in the Book of Virtues, chapter on the virtues of Fatimah, and he said, hasan sahih. A similar version was narrated by Bukhari 5/26 in the Book of Jihad, chapter on what was said about the Prophet's ﷺ armor, and by Muslim 4/1903, no. 2449, in the Book of the Virtues of the Companions, chapter on the virtues of Fatimah. Also by Abu Dawud 2/226, no. 2071, and Ibn Majah 1/643, no. 1998.