The proof on the infallibility of Lady Az-Zahra (peace be upon her)..

As part of our faith, we believe in the infallibility of the prophets and apostles, the infallibility of the Holy Prophet (Allah's prayers be upon him and his holy Household) and all the Imams, starting from Imam Ali (peace be upon him) to the last of the saint Imams; the awaited Al-Mahdi (Amay Allah hasten his holy reappearance). And we also believe in the infallibility of Lady Fatima Az-Zahra (peace be upon her). One of the prooves stated by some scholars such as Sayed Abd Al-Hussayn Sharaf Al-Din Al-Musawi who states in his book "Annass fi muqabil Ijtihad [text face to the diligence]": When the Holy Prophet (Allah's prayers be upon him and his holy Household) said: "Fatima is a part of me" he is giving a great proof that she is a piece of him, and as the Holy Prophet is infallible, his part is of course infallible, and this is called a rational argument.
And we note that the position of Lady Fatima Az-Zahra (peace be upon him) can not be understood by normal minds, as it is hard to understand the Holy Prophet (Allah's prayers be upon him and his holy Household) when he says about her: "Allah is angry for her anger and is pleased when she is pleased" And it is impossible that God is angry when Fatima is angry while she is not infallible, meaning that Lady Az-Zahra (peace be upon her) would not be angry but for something that makes the Almighty angry. And he whose wrath is consistent with Allah's wrath, would do only what is right, and will never make mistakes or tends to falsehood even in a blink of eye.
And when the Messenger of Allah (Allah's prayers be upon him and his holy Household) speaks about a person, out of his responsibility to the holy message, will not make any kind of compliments or praise without being true. And all agree that the words, actions and decisions of the holy Prophet (Allah's prayers be upon him and his holy Household) are arguments, and a legislation to which we have to submit, in order to be closer to the Almighty.
In addition to the holy verse of purification that proves the infallibility of Lady Fatima Az-Zahra (peace be upon her), and it is enough to be an argument in this subject, as she (peace be upon her) is one of the five of Ahl Al-Bayt who were gathered under the mantle, and about whome the Almighty has announced: {God only wills to remove from you, O members of the (Prophet’s) household, all that may be loathsome, and to purify you to the utmost of purity.} (33:33) {إِنَّمَا يُرِيدُ اللَّهُ لِيُذْهِبَ عَنكُمُ الرِّجْسَ أَهْلَ الْبَيْتِ وَيُطَهِّرَكُمْ تَطْهِيرًا}
And It is sufficient to bring the words of Haddad Al-Hadrami in his book "Al-Qawl Al-fasl": "the narration of the verse of purification is one of the famous frequent authentic hadiths, and all the nation agreed on it, seventeen of great learners of hadiths agreed on its authenticity, using almost fifty hadith methods.