He was struggling with his soul in front of the Messenger of Allah, peace and blessings be upon him, and the eyes of the Messenger of Allah, peace and blessings be upon him, filled with tears. He said: "The eye weeps, and the heart grieves, and we say nothing except what pleases our Lord. Indeed, O Ibrahim, we are grieved by your loss."(1)

29 - Chapter on Wailing (an-Niyāḥah)

3127 - Musaddad narrated to us, ʿAbd al-Wārith narrated to us, from Ayyūb, from Ḥafṣah, from Umm ʿAṭiyyah, who said: The Messenger of Allah, peace and blessings be upon him, forbade us from wailing (an-niyāḥah).(2)

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(1) Its chain of transmission is authentic. Thābit al-Bunānī: he is Ibn Aslam.
Al-Bukhārī also cited it as a suspended (muʿallaq) report immediately following hadith (1303) in an affirmative form from Sulaymān ibn al-Mughīrah.
It was also narrated in a similar manner by al-Bukhārī (1303) via the path of Quraysh ibn Ḥayyān, from Thābit, from Anas, without mentioning the Prophet's, peace and blessings be upon him, being informed of the birth of Ibrahim.
It is found in "Musnad Aḥmad" (13014) and "Ṣaḥīḥ Ibn Ḥibbān" (2902).
Ibn al-Athīr said in "an-Nihāyah": "He was struggling with his soul" i.e., he was yielding it up, referring to the death throes; and al-kayd means driving/urging.
Ibn Baṭṭāl and others said: This hadith explains the permissible weeping and the lawful grief, which is that which comes from tears of the eye and tenderness of the heart without resentment toward the decree of Allah.

(2) Its chain of transmission is authentic. Ḥafṣah: she is the daughter of Sīrīn, and Ayyūb: he is Ibn Abī Tamīmah al-Sakhtiyānī, and ʿAbd al-Wārith: he is Ibn Saʿīd al-ʿAnbarī, and Musaddad: he is Ibn Musarhad.
It was also narrated within a longer story by al-Bukhārī (4892) and (7215) via the path of ʿAbd al-Wārith ibn Saʿīd, with this chain.
It was also narrated in a similar manner by Muslim (936) via the path of Hishām ibn Ḥassān, and by Muslim (937), and al-Nasāʾī in "al-Kubrā" (11523) via the path of ʿĀṣim al-Aḥwal, both from Ḥafṣah, with it.
It is found in "Musnad Aḥmad" (20791) and "Ṣaḥīḥ Ibn Ḥibbān" (3145).
It was also narrated in a similar manner by al-Bukhārī (1306), Muslim (936), and al-Nasāʾī in "al-Mujtabā" (4180) via the path of Muḥammad ibn Sīrīn, from Umm ʿAṭiyyah.