Mustafa Abdul-Jalil, the chairman of the National Transitional Council and de fact president, had already declared that Libyan laws in future would have Sharia, the Islamic code, as its "basic source". But that formulation can be interpreted in many ways - it was also the basis of Egypt's largely secular constitution under President Hosni Mubarak, and remains so after his fall.Mr Abdul-Jalil went further, specifically lifting immediately, by decree, one law from Col. Gaddafi's era that he said was in conflict with Sharia - that banning polygamy.