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Captain Harry Kane believes "there isn't anything bigger" than England's 2-0 win against Germany and says the players have a vision of where they want to go after reaching the Euro 2020 quarter-finals.
Kane scored England's second after Raheem Sterling had opened the scoring.
It is England's first win in a knockout tie against Germany at a major tournament since the 1966 World Cup.
"Any team will look at us and know that we're dangerous," said Kane, 27.
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"There isn't anything bigger than this when the expectation is on and we delivered, so we should be proud – but we can't stop here. We have a vision of where we want to go and we can't stop now.
"Hopefully we'll be back here in the semi-finals and the final."
England will next face Ukraine in Rome on Saturday for a place in the semi-finals, with the game live on BBC One and BBC iPlayer.
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'We have given people a day to remember'
In-form Sterling has scored three of England's goals in Euro 2020 but in contrast Kane's strike came after failing to score in the group stage then struggling to make an impact for much of Tuesday's encounter in front of 40,000 fans at Wembley.
Kane's goal means he has joined Wayne Rooney on seven goals in major tournaments for England, behind only Gary Lineker (10) and Alan Shearer (nine).
"They both have to prove people wrong all the time and Raheem has been immense for us over a period," added England manager Gareth Southgate.
"We have that faith in him and trust in him and his performances have been electric right from the start.
"For Harry, when you are a centre forward you need those goals, I was pleased to see that second one go in."
England have endured agonising defeats in tournaments to Germany over the years. They were beaten 4-1 at the World Cup in 2010 and lost in the semi-finals of both the 1990 World Cup and at Euro 1996, when Southgate missed the decisive penalty in the shootout.
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"I am just so pleased," said Southgate.
"I was looking at the big screen and saw David Seaman up there. For my team-mates that played with me I can't change that (penalty miss) so it will always hurt, but what is lovely is we have given people another day to remember and now we have to do it in Rome."
Germany join world champions France, Euro 2016 winner Portugal and the Netherlands as some of the tournament heavyweights to have been knocked out of the competition.
However, Southgate does not believe that makes things any easier for England as they look to claim a first European Championship title.
"It's a dangerous moment with the feeling around the country that we've only got to turn up to win the thing," he added. "We know it's going to be an immense challenge from hereon in."
'People had written us off'
Midfielder Declan Rice said England had proved their critics wrong with the last-16 victory.
"It's incredible," the 22-year-old said.
"A lot of people had written us off in the group stage, complaints about the performances, not scoring enough, but we want to prove people wrong.
"With a full house, everyone had the fire in the belly to one, knock Germany out, and two, progress in the tournament.
"It is history, all the players were asked about the past games but we created history. Gary Neville said these games don't come round often and it was a pleasure to be out there."
Manchester City forward Sterling put England in front with a close-range finish at a time when the game was in the balance.
He said: "We knew we needed to put a big performance in.
"Doing it [scoring] for your country will always be special and it is definitely a special moment for me."
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