A source close to the Education Secretary said: "Michael Gove thinks Theresa May is a superb Home Secretary.
"We will continue to work well with the Home Office and other government departments to combat extremism in all its forms.
Ofsted will publish their findings next week and Peter Clarke will publish his report in July."
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The Duke of Cambridge asked "on pain of death, please don't tell me" the score in England's match against Panama.
The former Stormont first minister became the first DUP leader to attend the showpiece event.
The Duke of Cambridge was presented with a wooden shield and a motorbike petrol tank bearing the Aston Villa crest.