Cairo ( CNN ) -- Egypt 's first democratically elected president , Mohamed Morsi , will appoint a woman as one of his vice presidents and a Christian as another , his policy adviser told CNN . `` For the first time in Egyptian history -- not just modern but in all Egyptian history -- a woman will take that position , '' Ahmed Deif told CNN 's Christiane Amanpour on Monday . `` And it 's not just a vice president who will represent a certain agenda and sect , but a vice president who is powerful and empowered and will be taking care of critical advising within the presidential Cabinet . '' Amanpour blog : The woman who monitored Egypt 's election . The news came as the man Morsi beat for the presidency , Ahmed Shafik , left Egypt for Abu Dhabi , and as Cairo 's administrative court overturned a rule that allowed the military to arrest people without a warrant . Though Morsi had previously argued for banning women from the presidency , he said before the election that as president he would stand for women 's rights . `` The role of women in Egyptian society is clear , '' Morsi told CNN weeks before the runoff election . `` Women 's rights are equal to men . Women have complete rights , just like men . There should n't be any kind of distinction between Egyptians except that ... based on the constitution and the law . '' The Islamist figure , a Muslim Brotherhood leader , also promised to safeguard the rights of minorities . Egypt `` definitely '' will not be an `` Islamic Republic , '' Deif said Monday . Morsi moved into his offices Monday , said Jihad Haddad , an adviser to the transition team . He began the work of assembling a new government -- one of the powers he maintains after the military junta running the country recently slashed the presidency 's reach . The process of picking people to serve in the Cabinet `` wo n't end in a day , '' Haddad said . Shafik , who lost in the runoff election to Morsi , left the country Tuesday for the United Arab Emirates , his attorney and a Cairo airport official said . He traveled to Abu Dhabi , Cairo airport official Mohamed Sultan said . He is not fleeing the country , Shafik 's attorney , Showee Elsayed , told CNN . While legal petitions accusing Shafik of corruption were submitted in April , prosecutors have not taken legal action on them , so `` there are absolutely no legal cases pending '' against him , Elsayed said . Shafik was the final prime minister to serve under President Hosni Mubarak before he was ousted . Shafik 's office said Tuesday he `` will establish a new political party upon his return from the UAE and Saudi Arabia , where he is on private visits . '' He and his two daughters will perform Umrah , an Islamic religious pilgrimage to Mecca . Meanwhile , Cairo 's administrative court , which hears civilian complaints against the government , rejected a controversial rule Tuesday that the Ministry of Justice had established before the election . The rule stated that military personnel and intelligence forces could arrest civilians without a warrant . The right to arrest civilians had previously been reserved for police officers , the state-run Ahram news agency reported . The court also decided that , on September 1 , it will look into legal petitions filed against the Supreme Council of the Armed Forces over its decision to cancel the constitutional committee , which had been charged by the parliament before it was dissolved with drafting a new constitution . The court decided that on July 7 , it will look into legal petitions filed to stop recently issued constitutional articles by SCAF that limit the powers of the president . And on July 10 , the court will look into legal petitions filed against the decision to dissolve parliament . They were among 14 legal complaints filed about the rule by various individuals and groups , including the Muslim Brotherhood . CNN 's Samuel Burke , Amir Ahmed and Josh Levs contributed to this report .
A Cairo court overturns a rule allowing the military to arrest civilians . Mohamed Morsi 's adviser says he will pick a woman and a Christian as vice presidents . Morsi has begun assembling a new government . Ahmed Shafik will establish a new political party in Egypt , his office says .