The phrase "already triumphed" is correct and usable in written English.
It can be used to indicate that someone or something has achieved victory or success before the present moment.
Example: "Despite the challenges faced, the team has already triumphed in their efforts to complete the project ahead of schedule."
Alternatives: "has already succeeded" or "has already won."
Marks & Spencer has already triumphed in seasonal taste tests.
It's the heavy favourite to win the best foreign film Oscar, having already triumphed at the Baftas and the Globes.
The rallies that began in December were undergirded by a joyful confidence, as if the participants knew deep down that they had already triumphed over Vladimir V. Putin.
Mr Cruz has been gaining in the polls here, but Mr Trump leads and would be favourite to win if has already triumphed in Iowa and New Hampshire.
He deservedly won the Oscar for Sir Thomas More in A Man For All Seasons, a role in which he had already triumphed onstage.
In the end, Adrian gives herself up to Rocky's love, and by the time Apollo and Rocky finally meet in the ring the outcome hardly matters to us: Rocky has already triumphed.
Yes, two different kinds: it's Betamax versus VHS, LaserDisc versus SelectaVision, Blu-ray versus HD DVD all over again, except that one technology, the one used in the Samsung set (other manufacturers also utilize it), seems to have triumphed already, not because it's better but because it's cheaper to make and cheaper to buy.
The reason: Downton has the elitist appeal that voters (Hollywood snobs, remember) adore and it's already a proven winner, having triumphed last year as Best Miniseries.
No one expects 2013 to be easy, but we'll take our kicks where we can, and only a week in, there are already cultural triumphs for women to celebrate.
Watching the games at work is already a triumph, but let's get greedy now.
India had already had an unassailable 3-0 leandand rested several key players as the Windies triumphed in Antigua.
