Hadith No: 1
Al-Bayhaqi - Dalail al-Nubuwwah wa Ma'rifat Ahwal Sahib al-Shari'ah
Summary of the Chapters on the Birth of the Prophet (peace be upon him and his holy progeny) - Chapter on Mentioning the Nobility and Origin of the Messenger (peace be upon him and his holy progeny) and His Ancestry
Volume: (1) - Page Number: (170/171)
- Abu al-Husayn ibn al-Fadl narrated to us, saying: Abdullah ibn Ja'far narrated to us, saying: Ya'qub ibn Sufyan narrated to us, saying: Yahya ibn Abd al-Hamid narrated to me, saying: Qais narrated to us, from al-A'mash, from Abayah ibn Rub'i, from Ibn Abbas, who said: The Messenger of Allah (peace be upon him and his holy progeny) said, "Indeed, Allah, the Mighty and Majestic be He, divided creation into two parts and made me in the better of the two parts. This is His statement: 'And the companions of the right' and 'the companions of the left.' So I am among the companions of the right, and I am the best of the companions of the right." Then He divided the two parts into three, and made me in the better three. This is His statement, the Exalted: (Surah al-Waqi'ah 56:8) (Surah al-Waqi'ah 56:10) "So the companions of the right are those who will be in the right, and the forerunners, the forerunners." Thus, I am among the forerunners, and I am the best of the forerunners." Then He made the three into tribes and made me in the best of the tribes. This is the statement of Allah, the Exalted: {And We made you into nations and tribes that you may know one another. Indeed, the most noble of you in the sight of Allah is the most righteous of you. Indeed, Allah is Knowing and Acquainted} (Surah al-Hujurat 49:13). "And I am the most righteous of the children of Adam and the most honored before Allah, without pride." Then He made the tribes into houses and made me in the best of the houses. This is His statement, the Mighty and Majestic be He: {Indeed, Allah wants to remove the impurity from you, O people of the Prophet's house, and to purify you with a thorough purification} (Surah al-Ahzab 33:33). So I and the people of my house are purified from sins.

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Reference: Dalaael al-Nubuwwah wa Ma'refah Ahwaal Saaheb al-Sharee'ah Book 1

Hadith No: 2
Al-Bayhaqi - al-I'tiqad wal-Hidaya ila Sabeel ir-Rashad 'ala Madhhab as-Salaf wa Ashab al-Hadith
Chapter on the Statement Regarding the Family of the Messenger of Allah (peace be upon him and his holy progeny), His Ahlul Bayt, and His Wives
Allah, the Exalted, said: "Indeed, Allah only intends to remove the impurity from you, O People of the Prophet's House, and to purify you with a thorough purification" (Quran 33:33).
The beginning of the verse addresses the wives of the Prophet (peace be upon him and his holy progeny) and His giving them a choice. When they chose Allah and His Messenger and the Hereafter, what Allah had prepared for them was bestowed upon them.
Volume: (1) - Page Number: (327)
- Abu Abdullah al-Hafiz and Abu Abdur Rahman Muhammad ibn al-Husayn as-Sulami, from the original of his book, narrated to us, saying: Abu al-Abbas Muhammad ibn Yaqub narrated to us, saying: al-Hasan ibn Makram narrated to us, saying: Uthman ibn Umar narrated to us, saying: Abd al-Rahman ibn Abdullah ibn Dinar narrated to us, from Sharik ibn Abi Numr, from Ata ibn Yasar from Umm Salamah, who said: "The following was revealed in my house:
{Indeed, Allah only intends to remove the impurity from you, O People of the Prophet's House, and to purify you with a thorough purification" (Quran 33:33)}. She continued: "Then the Messenger of Allah (peace be upon him and his holy progeny) sent for Fatimah, Ali, Hasan, and Husayn, and said: 'These are my family'". She said: "So I said, 'O Messenger of Allah, am I not from the People of the House?' He replied, 'Yes, you are, if Allah wills.'" Abu Abdullah said: "This is a sound hadith, its chain is trustworthy, and its narrators are reliable." The Sheikh said: "This reinforces what we have mentioned about the inclusion of His Ahlul Bayt and Wives in the People of His House, and it is incumbent upon us to love and support them all in religion."

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Reference: al-Eetiqad wal-Hidayat 'Iilaa Sabil al-Rashad Ealaa Madhhab al-Salaf wa'Ashab al-Hadith Book 1

Hadith No: 3
Al-Bayhaqi - Sunan al-Kubra - Book of Prayer
Collection of Chapters on the Description of Prayer - Chapter on Clarifying His Family Members Who Are His People
Volume: (2) - Page Number: (212)
2858 - Abu Abdillah Muhammad ibn Ahmad ibn Abi Tahir al-Duqqaq in Baghdad narrated to us, saying: Ahmad ibn Uthman al-Adami narrated to us, saying: Muhammad ibn Uthman ibn Abi Shaybah narrated to us, from my father, saying: Muhammad ibn Bashar al-Abdi narrated to us, from Zakariya ibn Abi Zaeeda, from Musab ibn Shaybah, from Safiyya bint Shaybah from Aisha (may Allah be pleased with her) who said: The Prophet (peace be upon him and his holy progeny) went out one morning wearing a shawl made of black hair. Then Hasan came and he welcomed him in, and then Husayn came and he welcomed him in, and then Fatimah came and he welcomed her in, and then Ali came and he welcomed him in as well. Then he said: {Indeed, Allah only intends to remove the impurity from you, O People of the House, and to purify you with a thorough purification} (Surah Al-Ahzab 33:33).} Muslim narrated this in his Sahih from Abu Bakr ibn Abi Shaybah and others, from Muhammad ibn Bashar.

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Reference: Al-Sunan al-Kubra Book 2

Hadith No: 4
Al-Bayhaqi - Sunnah al-Kubra - Book of Prayer
Summary of the Chapters on the Description of Prayer - Chapter on the Evidence that His Wives (peace be upon him and his holy progeny) are from His Family in Their Prayers
Volume: (2) - Page Number: (214)
2861 - Abu Abdullah al-Hafiz narrated to us multiple times, and Abu Abd al-Rahman Muhammad ibn al-Husayn al-Sulami from his own source, and Abu Bakr Ahmad ibn al-Hasan al-Qadi, who said: Abu al-Abbas Muhammad ibn Yaqub narrated to us, saying: al-Hasan ibn Makrim narrated to us, from Uthman ibn Umar, from Abd al-Rahman ibn Abdullah ibn Dinar, from Sharik ibn Abi Namir, from Ata ibn Yasar from Umm Salamah, who said: "The following was revealed in my house: { Allah only wishes to remove the impurity from you, O People of the Prophet's House, and to purify you with a thorough purification } (Surah al-Ahzab 33:33)." She continued: "Then the Messenger of Allah (peace be upon him and his holy progeny) sent for Fatimah, Ali, Hasan, and Husayn, and said: 'These are the People of My House.'" In the narration of the Qadi and al-Sulami, it states: "These are my family." She added: "So I said, 'O Messenger of Allah, am I not also from the People of the House?' He said: 'Yes, you are, if Allah wills.'" Abu Abdullah said: "This is a sound hadith, and its chain is reliable." The Sheikh observed: "There have been narrations reported in support of it, and then in opposition to it, but none that are as strong. In the Book of Allah, there is clarity concerning what we intended in the Prophet's (peace be upon him and his holy progeny) use of the term 'the family' and what he meant by it—whether it be his wives or if they are included within it."

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Reference: Al-Sunan al-Kubra Book 2

Hadith No: 5
Al-Bayhaqi - Sunan al-Kubra - The Book of Prayer
The Collection of Chapters on the Description of Prayer - Chapter on Those Who Claim that the Family of the Prophet (peace be upon him and his holy progeny) are Generally the People of His Religion
Volume: (2) - Page Number: (217)
2870 - Abu Abdillah al-Hafiz, Abu Bakr al-Qadi, and Abu Abdillah al-Susi narrated to us, saying: Abu al-Abbas Muhammad ibn Yaqub narrated to us, saying: al-Abbas ibn al-Walid ibn Mazid narrated to me, from my father, who said: I heard al-Awza'i say: Abu Ammar, a man from us, narrated to me, saying: Wathila ibn al-Asqa' al-Laythi narrated to me, "I came seeking Ali (peace be upon him and his holy progeny), but did not find him. Fatimah (peace be upon her and her holy progeny) said, 'Go to Messenger of Allah (peace be upon him and his holy progeny); he will summon him.' So I went, and he (Ali) was seated with him (the Prophet) when he came. Then he (Ali) got up and entered with them. Then the Messenger of Allah (peace be upon him and his holy progeny) called for Hasan and Husayn and seated each of them on his thigh, and he brought Fatimah close to his lap and her husband, and then he wrapped his cloak around them. I was sitting apart, and then he said, {Indeed, Allah intends to remove from you the impurity, O People of the Prophet's House, and to purify you with a thorough purification} (Surah Al-Ahzab 33:33). Allah, these are my family; Allah, my family have more right." Wathila said: I said, "O Messenger of Allah, and am I not also of your family?" He replied, "You are of my family." Wathila (peace be upon him) said: "This is among the hopes I cherish the most."

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Reference: Al-Sunan al-Kubra Book 2

Hadith No: 6
Al-Bayhaqi - Lubāb al-Ansāb wal-Alqāb wal-Auqāb
Chapter - Al-Hasan and Al-Husayn and the Virtue of Their Children (ra)
Volume: (1) - Page Number: (13)
[The text is lengthy, so only the relevant excerpt is provided here]
- .... Anas ibn Malik said: That the Messenger of Allah (peace be upon him and his holy progeny) would come to Fatimah's (ra) door in the morning and say: "Peace be upon you, O people of the Prophet's House, and the mercy and blessings of Allah be upon you": {“Indeed, Allah only wishes to remove the impurity from you, O people of the Prophet's House, and to purify you with a thorough purification”} (Surah Al-Ahzab 33:33).

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Reference: Lubab al ansaab wa alqaab wa a'aqaab Book 1