Blair Spittal’s late goal gave Derek McInnes’ side a 2-1 win at Easter Road and moved them three points ahead of Celtic at the top of the table.
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They host third-place Rangers next Monday, a game McFadden believes is crucial to maintaining their feel-good factor.
“People have been waiting for Hearts to bottle it all season,” McFadden said on the BBC’s Scottish Football Podcast.
“There’s no way they’re going to bottle it up. Even if Hearts don’t win the league, it’s not because they’ve bottled it up. They’ve dealt with the pressure.
“Every team has had to deal with injuries, but Hearts at the top of the table have had to deal with people who expected their results and performances to go down; they expected them to go down and they’re still there.
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“I think they’ll start to believe it’s written for them. I just think they’ll feel like things have fallen into place for them, that they have the drive, the impetus to go and take advantage of it.
“If they win next week they can almost put Rangers aside because then Celtic need to play Rangers and they will probably expect a draw.”
“For Hearts to maintain that kind of feeling, they will feel they have to win against Rangers next week.”