Is the illegitimate child attributed to the husband?

Is an illegitimate child attributed to the husband, even if the adultery of the wife is proven, and it is also proven the child is not the husband's, but *Li'aan* isn't done by the husband? Is this Hadith from Sahih Muslim implemented? > حَدَّثَنَا سَعِيدُ بْنُ مَنْصُورٍ، وَأَبُو بَكْرِ بْنُ أَبِي شَيْبَةَ وَعَمْرٌو النَّاقِدُ قَالُوا حَدَّثَنَا سُفْيَانُ، بْنُ عُيَيْنَةَ ح وَحَدَّثَنَا عَبْدُ بْنُ حُمَيْدٍ، أَخْبَرَنَا عَبْدُ الرَّزَّاقِ، أَخْبَرَنَا مَعْمَرٌ، كِلاَهُمَا عَنِ الزُّهْرِيِّ، بِهَذَا الإِسْنَادِ نَحْوَهُ ‏.‏ غَيْرَ أَنَّ مَعْمَرًا وَابْنَ عُيَيْنَةَ فِي حَدِيثِهِمَا ‏"‏ الْوَلَدُ لِلْفِرَاشِ ‏"‏ ‏.‏ وَلَمْ يَذْكُرَا ‏"‏ وَلِلْعَاهِرِ الْحَجَرُ ‏"‏‏ > > *Sa'id ibn Mansur, Abu Bakr ibn Abi Shaybah, and Amr al-Naqid narrated to us: Sufyan ibn 'Uyaynah narrated to us: 'Abd ibn Humayd narrated to us: 'Abd al-Razzaq informed us: Ma'mar informed us, both of them on the authority of al-Zuhri, with this chain of transmission similar to it. However, Ma'mar and Ibn 'Uyaynah included in their hadith:* **"The child belongs to the bed." They did not mention, "And for the adulterer is the stone."** > > - [Sahih Muslim 1457b](https://sunnah.com/muslim:1457b)