Upon becoming Khalifa Abu Bakr quickly moved to annex the legal right of Sayyida Fatima (as). Abu Bakr refused to entertain her claim that the land had been gifted to her, by her father (s) during his lifetime. If a person receives possessions (by whatever means) they can claim them by any means they choose appropriate. Hence Sayyida Fatima (as) also sought to claim Fadak by another claim, namely that Fadak, the properties of Madina and the lands of Khayber were the personal possessions of her father that she as his daughter and Waris could legally inherit from him (s). Abu Bakr also rejected this claim on the rationale that he heard the Prophet (s) say 'Our property will not be inherited, whatever we (i.e. prophets) leave is Sadaqah (to be used for charity)'. Sayyida Fatima (as) rejected this argument and the decision angered to the extent that she never spoke on good terms to the Khalifa again.
The Qur'an confirms that a daughter inherits from her father
Proof One
With regard to inheritance, the verse of Surah Nisa 004.007 reads:
From what is left by parents and those nearest related there is a share for men and a share for women, whether the property be small or large,a determinate share.
Al-Qur'an, Surah an-Nisa, Ayah 7, translated by Yusufali