Rangers beat Hibernian to reduce Celtic's lead at the top of the Scottish Premier League to one point.
Captain Steven Davis fired the hosts ahead midway through an often scrappy first half.
Davis's Northern Ireland team-mate Healy rolled home the second after a mix-up in the Hibs defence.
A second booking meant a red card for Hibs debutant James McPake and Sone Aluko converted the resulting free-kick before Davis netted his second late on.
With Celtic facing Falkirk in Sunday's Scottish Communities League Cup semi-final, the league leaders now have an SPL game in hand.
Hibs remain a point above the league's bottom side, Dunfermline, who lost at Aberdeen.
Aluko, deployed in a striking role in the absence of the ill Nikica Jelavic, fired in a shot that looked bound for the Hibs goal until Healy inadvertently blocked the effort out for a corner.
At the other end, Eoin Doyle had an attempt deflected over and debutant Tom Soares should have tested goalkeeper Allan McGregor with a shot that went wide.
Aluko set up Maurice Edu for a shot that the American midfielder fizzed narrowly wide.
It was from a Hibs attack that Rangers opened the scoring, the defence scrambling the ball clear after David Wotherspoon had threatened and quickly moving the ball upfield.
Davis ran on to Aluko's pass and slotted past keeper Mark Brown.
Edu was unable to make a clean connection on Sasa Papac's teasing cross as Rangers continued to press.
Doyle was inches away from connecting David Wotherspoon's centre as Hibs tried to force an equaliser before the break.
Soares did not connect when Sproule sent another in another teasing delivery early in the second half.
But Hibs then gifted Rangers their second. O'Hanlon's backwards header left Brown stranded off his line and the keeper's header rebounded off McPake into the path of Healy, who took a touch before firing into the unguarded net.
Aluko beat three Hibs players as he worked his way into the box but his eventual shot was wayward.
Edu came close again when his shot was deflected onto the post moments after McPake had survived claims of handball in the penalty area.
McGregor raced off his line to deny Sproule before Mervan Celik made his Rangers debut as a replacement for Gregg Wylde.
McPake, who had earlier been booked for a foul on Aluko, was dismissed on 71 minutes after his block on Edu was punished with a second caution.
From the resulting free-kick, Aluko curled a superb effort home from 25 yards.
The former Aberdeen player then almost claimed his second of the match with a shot wide of Brown's goal.
Wotherspoon flashed an effort past the post as Hibs pressed for a consolation.
But Davis was to have the final say in injury time, controlling the ball well from Carlos Bocanegra's pass and striking past Brown.