Salaams brother psyah I hope that you had a great Eid!!
Sorry, Aal does not mean offspring in Arabic language – the word for offspring/ progeny in Arabic is Zurriyat.
Ahlul Bayt – refers to people of the house.
Aal refers to larger members of man’s relatives – Parents, brothers/sisters, wives, children, Uncles, Aunts, Cousins, in-laws etc. etc. Meaning: - larger/extended family of a person.
You can see that Surah Aale Imran is always translated as Family of Imran and not as Progeny of Imran.
I am citing some ayahs to show that the word Zurriyat [thurriyyat] means offspring/progeny.
Rabbi ijAAalnee muqeema alssalati wamin thurriyyatee rabbana wtaqabbal duAAai
14:40 O my Lord! make me one who establishes regular Prayer, and also (raise such) among my offspring O our Lord! and accept Thou my Prayer.
Waithi ibtala ibraheema rabbuhu bikalimatin faatammahunna qala innee jaAAiluka lilnnasi imaman qala wamin thurriyyatee qala la yanalu AAahdee alththalimeena
2:124 And remember that Abraham was tried by his Lord with certain commands, which he fulfilled: He said: “I will make thee an Imam to the Nations.” He pleaded: “And also (Imams) from my offspring!” He answered: “But My Promise is not within the reach of evil-doers.”
Rabbana innee askantu min thurriyyatee biwadin ghayri thee zarAAin AAinda baytika almuharrami rabbana liyuqeemoo alssalata faijAAal afidatan mina alnnasi tahwee ilayhim waorzuqhum mina alththamarati laAAallahum yashkuroona
14:37 "O our Lord! I have made some of my offspring to dwell in a valley without cultivation, by Thy Sacred House; in order, O our Lord, that they may establish regular Prayer: so fill the hearts of some among men with love towards them, and feed them with fruits: so that they may give thanks.
I am sorry again I think you got it wrong here too. Aal has the meaning which I had stated earlier - it is not just the progeny of the Prophet (saw)!
أللهم صل على محمد وعلى آل محمد كما صليت على إبراهيم وعلى آل إبراهيم إنك حميد مجيد. أللهم بارك على محمد وعلى آل محمد كما باركت على إبراهيم وعلى آل إبراهيم إنك حميد مجيد
Allahumma Salli 3ala Muhammadin wa 3ala aali Muhammadin kamaa sallayta 3ala Ibrahim wa 3ala aali Ibrahim innaka 7ameedun majeed, wa baarik 3ala Muhammadin wa 3ala aali Muhammadin kamaa baarakta 3ala Ibrahim wa 3ala aali Ibrahim innaka 7ameedun majeed.
O Allah! Send blessings upon Muhammad and upon the family of Muhammad as You sent blessings upon Abraham and upon the family of Abraham; indeed, You are praiseworthy and glorious. O Allah! Bless Muhammad and the family of Muhammad as You blessed Abraham and the family of Abraham; indeed, You are praiseworthy and glorious.
Narrated Abu Sa’id Al-Khudri (RadiAllahu anhu); 'We said, “O Allah’s Apostle! This is (i.e. we know) the greeting to you; will you tell us how to send Salat on you?” He said,
"Say: 'Allahumma Salli 'ala Muhammadin 'abdika wa rasulika kama sal-laita 'ala Ibrahima wa barik 'ala Muhammadin wa all Muhammadin kama barakta ‘ala Ibrahima wa Ali Ibrahim.’ "
[Sahih al-Bukhari; Vol 8:#369]
Narrated Abu Humaid As-Sa’idi (radiAllahu anhu); The people asked, “O Allah’s Apostle! How shall we (ask Allah to) send blessings on you?” Allah’s Apostle (salAllahu alayhi wasalam) replied,
"Say: O Allah! Send Your Mercy on Muhammad and on his wives and on his offspring, as You sent Your Mercy on Abraham’s family; and send Your Blessings on Muhammad and on his offspring, as You sent Your Blessings on Abraham’s family, for You are the Most Praiseworthy, the Most Glorious.
“Allahumma Salli 'ala- Muhammadin wa azwajihi wa dhurriyyatihi kama sal-laita 'ala ali Ibrahim; wa barik 'ala Muhammadin wa azwajihi wa dhurriyyatihi kamabarakta 'ala ali Ibrahim innaka hamidun majid.”
[Sahih al-Bukhari; Vol 4:#588]
- Abu Humaid As-Sa
idi (May Allah be pleased with him) reported: The Companions of the Messenger of Allah (PBUH) said: "O Messenger of Allah! How should we supplicate for you?'' He (PBUH) replied, "Say:Allahumma salliala Muhammadin waala azwajihi wa dhurriyyatihi, kama sallaitaala Ibrahima; wa barikala Muhammadin waala azwajihi wa dhurriyyatihi, kama baraktaala Ibrahima, innaka Hamidum-Majid
(O Allah sent Your Salat (O Allah, exalt the mention of Muhammad and his wives and offspring as You exalted the mention of the family of Ibrahim, and bless Muhammad and the wives and the offspring of Muhammad as you blessed the family of Ibrahim. You are the Praised, the Glorious’.‘’ [Al-Bukhari and Muslim].
"Commentary: "Azwaj’’ is the plural of "Zauj’’ that is a pair. This is the reason that in Arabic it applies to both, masculine as well as feminine. Man is the Zauj of woman and woman is the Zauj of a man. In any case, here it means the Prophet’s wives who are eleven in number. Two of them had died during the lifetime of the Prophet (PBUH) and nine survived after him. Islam does not permit more than four wives to a Muslim but the Prophet (PBUH) was given the exclusive permission for numerous considerations which have been discussed by religious scholars at length.
This Hadith also refutes the opinion of those who do not include his pious wives in the category of his “Al’‘. The progeny of the Prophet (PBUH) includes his male and female children and their descendants. But after his death none except Fatimah (May Allah be pleased with her) and her children remained alive. In short, his "Al’’ includes his wives and progeny”.
This is also another very relevant proof that the Prophet (saw) took his blessed wives (raa) to be from his Ahlul Bayt (raa)!! In fact he has put his wives before his offspring!!
You can refer to more Salawaat/Duroods on following sites.
QSS.ORG :: QSS Online Books :: Sifatu Salat-in-Nabee (saws) :: The First Tashahhud
Salat-Salam