Each of these two Prophets had special qualities. When Allah caused the people of the earth to drown, except those who believed in Nuh and accompanied him in the ark, Allah made the offspring of Nuh the dwellers of the earth thereafter. Ever since that occurred, the people of the earth were and still are the descendants of Nuh. As for Ibrahim, Allah did not send a Prophet after him but from his descendants. Allah said in other Ayat,

﴿وَجَعَلْنَا فِى ذُرِّيَّتِهِمَا النُّبُوَّةَ وَالْكِتَـبَ﴾

(And We ordained among his (Ibrahim's) offspring prophethood and the Book.) ﴿29:27﴾,

﴿وَلَقَدْ أَرْسَلْنَا نُوحاً وَإِبْرَهِيمَ وَجَعَلْنَا فِى ذُرِّيَّتِهِمَا النُّبُوَّةَ وَالْكِتَـبَ﴾

(And indeed, We sent Nuh and Ibrahim, and placed in their offspring Prophethood and the Book.) ﴿57:26﴾, and,

﴿أُولَـئِكَ الَّذِينَ أَنْعَمَ اللَّهُ عَلَيْهِم مِّنَ النَّبِيِّيْنَ مِن ذُرِّيَّةِ ءادَمَ وَمِمَّنْ حَمَلْنَا مَعَ نُوحٍ وَمِن ذُرِّيَّةِ إِبْرَهِيمَ وَإِسْرَءِيلَ وَمِمَّنْ هَدَيْنَا وَاجْتَبَيْنَآ إِذَا تُتْلَى عَلَيْهِمْ ءايَـتُ الرَّحْمَـنِ خَرُّواْ سُجَّداً وَبُكِيّاً ﴾

(Those were they unto whom Allah bestowed His grace from among the Prophets, of the offspring of Adam, and of those whom We carried (in the ship) with Nuh, and of the offspring of Ibrahim and Isra'il and from among those whom We guided and chose. When the verses of the Most Beneficent (Allah) were recited unto them, they fell down prostrating and weeping.) ﴿19:58﴾ Allah said in this honorable Ayah here,

﴿وَمِن ذُرِّيَّتِهِ﴾

(and among his progeny...) meaning, We guided from among his offspring,

﴿دَاوُودَ وَسُلَيْمَـنَ﴾

(Dawud, Sulayman...) from the offspring of Nuh, according to Ibn Jarir. It is also possible that the Ayah refers to Ibrahim since it is about him that the blessings were originally mentioned here, although Lut is not from his offspring, for he was Ibrahim's nephew, the son of his brother Maran, the son of Azar. It is possible to say that Lut was mentioned in Ibrahim's offspring as a generalization. As Allah said,

﴿أَمْ كُنتُمْ شُهَدَآءَ إِذْ حَضَرَ يَعْقُوبَ الْمَوْتُ إِذْ قَالَ لِبَنِيهِ مَا تَعْبُدُونَ مِن بَعْدِى قَالُواْ نَعْبُدُ إِلَـهَكَ وَإِلَـهَ آبَآئِكَ إِبْرَهِيمَ وَإِسْمَـعِيلَ وَإِسْحَـقَ إِلَـهًا وَاحِدًا وَنَحْنُ لَهُ مُسْلِمُونَ ﴾

(Or were you witnesses when death approached Ya`qub When he said unto his sons, "What will you worship after me'' They said, "We shall worship your God, and the God of your fathers, Ibrahim, Isma`il, Ishaq, One God, and to Him we submit.'') ﴿2:133﴾. Here, Isma`il was mentioned among the ascendants of Ya`qub, although he was Ya`qub's uncle. Similarly Allah said,

﴿فَسَجَدَ الْمَلَـئِكَةُ كُلُّهُمْ أَجْمَعُونَ - إِلاَّ إِبْلِيسَ أَبَى أَن يَكُونَ مَعَ السَّـجِدِينَ ﴾

(So the angels prostrated themselves, all of them together. Except Iblis -- he refused to be among those to prostrate.) ﴿15:30-31﴾. Allah included Iblis in His order to the angels to prostrate, and chastised him for his opposition, all because he was similar to them in that (order), so he was considered among them in general, although he was a Jinn. Iblis was created from fire while the angels were created from light. Mentioning `Isa in the offspring of Ibrahim, or Nuh as we stated above, is proof that the grandchildren from a man's daughter's side are included among his offspring. `Isa is included among Ibrahim's progeny through his mother, although `Isa did not have a father. Ibn Abi Hatim recorded that Abu Harb bin Abi Al-Aswad said, "Al-Hajjaj sent to Yahya bin Ya`mar, saying, `I was told that you claim that Al-Hasan and Al-Husayn are from the offspring of the Prophet , did you find it in the Book of Allah I read the Qur'an from beginning to end and did not find it.' Yahya said, `Do you not read in Surat Al-An`am,

﴿وَمِن ذُرِّيَّتِهِ دَاوُودَ وَسُلَيْمَـنَ﴾

(and among his progeny Dawud, Sulayman...) until,

﴿وَيَحْيَى وَعِيسَى﴾

(and Yahya and `Isa...) Al-Hajjaj said, `Yes.' Yahya said, `Is not `Isa from the offspring of Ibrahim, although he did not have a father' Al-Hajjaj said, `You have said the truth.''' For example, when a man leaves behind a legacy, a trust, or gift to his "offspring'' then the children of his daughters are included. But if a man gives something to his "sons'', or he leaves a trust behind for them, then that would be particular to his male children and their male children. Allah's statement,

﴿وَمِنْ ءابَائِهِمْ وَذُرِّيَّـتِهِمْ وَإِخْوَنِهِمْ﴾

(And also some of their fathers and their progeny and their brethren,) ﴿6:87﴾, mentions that some of these Prophets' ascendants and descendants were also guided and chosen. So Allah said,

﴿وَاجْتَبَيْنَـهُمْ وَهَدَيْنَـهُمْ إِلَى صِرَطٍ مُّسْتَقِيمٍ﴾

(We chose them, and We guided them to a straight path.)