Mick and Mairead Philpott were arrested in "Derby city centre," Police said.
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The schoolchildren rescued from the Brecon Beacons during a Duke of Edinburgh exercise were never missing, their headteacher has insisted.
"By killing his children, Mr Sheats will have to live the rest of his life with this horrible memory."
Jeremy Corbyn has been heckled as he gave a speech at a rally over the EU referendum result.