John Kerry said the US's relationship with Egypt is "very important" as he visited the country for the first time since former president Mohamed Morsi was ousted.
The US Secretary of State said he had discussed with Egypt's foreign minister the need to end violence and have a constitution that "protects the interests of all all Egyptians".
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PM spokesman's comments come following reports that the EU is secretly drawing up plans for greater military cooperation across the EU.
The Labour politicians put their alleged differences aside to jointly highlight how remaining in the EU could help fight climate change.