Is it obligatory to change one's place of prayer after performing the obligatory prayer, and what is the authenticity of the hadith regarding this?

Question:
The question says: Your Eminence the Shaykh, after finishing the obligatory prayer, many people are keen to change their places to pray the sunnah. Is there a Shari'ah basis for this? And what is the authenticity of the hadith that contains the prohibition against a Muslim praying the sunnah after the obligatory prayer without speaking or changing his place?

Answer:
Ibn Abi [something] in the Sunnah of the Prophet (peace and blessings be upon him), narrated by Muslim. Mu'adh (may Allah be pleased with him) said: The Messenger of Allah (peace and blessings be upon him) prohibited In the authentic hadith, and Mu'adh (may Allah be pleased with him) said: The Messenger of Allah (peace and blessings be upon him) prohibited We sit, and when a person speaks regarding the permissibility after the prayer, thus. Even if he goes out to his house and prays in his house, the voluntary prayers in the house are better, as is well known. It is better that the Prophet (peace and blessings be upon him) [prayed] the voluntary prayers in his house, except for the two [prayers] before Fajr and the two after 'Asr. And if he moves forward or backward after the obligatory prayer, he prays to his right or left, and moves forward in the row in front of him, or backward in the row behind him, this is a matter of movement. There has come what indicates this in some of the hadiths that I have lost, but there is in the hadith of Ibn 'Umar, which is authentic, what indicates this meaning. It was reported from him by Abu Dawud with a sound chain that he prayed the Friday prayer, then moved forward and prayed four [rak'ahs], or the reverse, or the four [rak'ahs] and then prayed in the house, and he said that he saw the Messenger (peace and blessings be upon him) pray in that manner, meaning he saw that he prayed the voluntary prayers after the obligatory prayer in two places. And another need came in which some of the Qur'an indicates that it is among the best. And many of the Salaf did that also. So for a person to move forward or backward, or to his right or left in his movement after the prayer, this is good and there is no harm in it. And I had written in the past in the magazine al-Da'wah, two or three years ago, that there is no authentic hadith regarding the permissibility of moving forward or backward, and that was when I reviewed some of the hadiths that were reported in that regard, and I did not find anything established in them. Then I came upon a hadith of this type in the Sunan of Abu Dawud in the Book of Friday Prayer, and I saw its chain to be of the utmost soundness, so it is permissible.