Everton produced a superb display of counter-attacking to climb out of the Premier League relegation zone with a stunning victory that dented Brighton's European ambitions.
An extraordinary first half saw the visitors go ahead after just 34 seconds, with Dominic Calvert-Lewin squaring for Abdoulaye Doucoure to tap in after Seagulls captain Lewis Dunk had been badly caught out.
Mali midfielder Doucoure added Everton's second just before the half-hour mark with a precise volley, into the right corner from Dwight McNeil's cross.
McNeil was then heavily involved as Sean Dyche's side extended their lead, driving towards the byeline and seeing his low cross deflect off the foot of Brighton goalkeeper Jason Steele into the back of the net.