Hibernian manager Pat Fenlon dedicated their William Hill Scottish Cup derby triumph to the supporters who suffered at Hampden in May during their 5-1 final thrashing by Hearts.
Hearts captain Marius Zaliukas deflected David Wotherspoon's 83rd-minute strike into his own goal as Hibs knocked the holders out in the fourth round with a scrappy 1-0 triumph at Easter Road.
The own goal ended Hibernian's three-and-a-half year wait for a victory over their Edinburgh rivals and Fenlon said: "I'm delighted for the supporters. It's a good day for Hibs fans and it's been long overdue."
He added: "Coming away from Hampden with a few minutes to go and the Hibs end is empty was disappointing, and I totally understood that. It was great to see them today enjoying themselves with smiles on their faces. I'm sure they will enjoy tonight. I hope they do, they deserve it. That's what today was all about.
"It was a scrappy enough game and probably Hearts shaded parts of it. There wasn't a lot of chances but we have probably played games over those three years, I'm not sure I haven't seen them all, where we have done well and not got anything out of it. You take the good fortune when it comes."
Fenlon was unsure how serious an injury Leigh Griffiths suffered when Darren Barr appeared to stand on his ankle by mistake, which saw him stretchered off early in the second half.
"He went off on a stretcher and I thought he was in serious trouble and then he came on at the end to celebrate," Fenlon said. "He is a bit of a Lazarus. He is in good form down there. He has had a little problem with his ankle over the last few weeks as well, so we will see how he is in the morning.
Although Hearts controlled the first half, they also created few chances. Callum Paterson had an early header saved but Hibs goalkeeper Ben Williams' only other stop of note came from a deflection off team-mate Paul Hanlon.
Manager John McGlynn said: "We're all absolutely gutted. We're the holders of the cup and you don't want to lose it. We put a lot into the game and so often we've said this this season, we come away with nothing.
"We started the game very well and had a couple of really good opportunities. Second half, the longer it went it looked like it had 0-0 written all over it. We certainly never looked like losing a goal but Hibs got the one break in the game. It's a massive, massive deflection, Jamie MacDonald can't really do anything about it at all."