Hadith from Sahih Muslim about succession

[al-kulayni]

Assalamu Aleykum

Some people say about this hadith from Sahih Muslim :

حَدَّثَنَا عُبَيْدُ اللَّهِ بْنُ سَعِيدٍ، حَدَّثَنَا يَزِيدُ بْنُ هَارُونَ، أَخْبَرَنَا إِبْرَاهِيمُ بْنُ سَعْدٍ، حَدَّثَنَا صَالِحُ بْنُ كَيْسَانَ، عَنِ الزُّهْرِيِّ، عَنْ عُرْوَةَ، عَنْ عَائِشَةَ، قَالَتْ قَالَ لِي رَسُولُ اللَّهِ صلى الله عليه وسلم فِي مَرَضِهِ ‏ "‏ ادْعِي لِي أَبَا بَكْرٍ وَأَخَاكِ حَتَّى أَكْتُبَ كِتَابًا فَإِنِّي أَخَافُ أَنْ يَتَمَنَّى مُتَمَنٍّ وَيَقُولَ قَائِلٌ أَنَا أَوْلَى ‏.‏ وَيَأْبَى اللَّهُ وَالْمُؤْمِنُونَ إِلاَّ أَبَا بَكْرٍ ‏"‏ ‏.‏

A'isha reported that Allah's Messenger (may peace be upon him) in his (last) illness asked me to call Abu Bakr, her father, and her brother too, so that he might write a document, for he feared that someone else might be desirous (of succeeding him) and that some claimant may say: I have better claim to it, whereas Allah and the Faithful do not substantiate the claim of anyone but that of Abu Bakr.

That the red part is an idraj from Aïsha ra ? Did you ever read something like that from scholars ?

[Hani]

Not an Idraj.