Hajj on behalf of another and what is specific to the proxy

Question:
Honorable Shaykh, Abu Sa'il asks: Is it permissible for one who has performed Hajj for himself to perform Hajj for another? Or is it not permissible?

Answer:
If he performs Hajj on behalf of another, he is rewarded for it because he has benefited his brother and discharged the obligation from him, if it was an obligatory Hajj. The rites of the person for whom the proxy acts—namely standing at 'Arafah, staying overnight at Muzdalifah, staying overnight at Mina, stoning the pillars, circumambulation, and walking between al-Safa and al-Marwah—are performed on behalf of the person for whom the proxy acts. Anything beyond that belongs to the proxy, such as the prayers in the Sacred Mosque; these belong to the proxy, the one praying. The supplication at 'Arafah, the supplication at Muzdalifah, and the supplication at Mina all belong to the pilgrim, because they are not among the rites of Hajj; they are an addition.