The Red Devils were beaten in Monday's derby meeting with Manchester City, cutting the gap at the top of the table to 12 points with seven matches remaining in the 2012-13 campaign.
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"As a United player you know how vital it is to win every game," the England international remarked. "But what happened last season shows that every single game, every single point and every single goal is crucial.
"I'll never forget the manager coming on the bus after the Sunderland game last season.
"He said to the younger players, 'remember this feeling, it will turn you into men and make you bigger and better players and people'. None of us want to feel like that again.
"What happened has given us the motivation to improve and it has reminded us that there can be no complacency. Every single minute on the pitch matters."