The phrase "a vindication of that" is correct and usable in written English.
It can be used when discussing a justification or defense of a particular idea, action, or statement.
Example: "The research presented in the article serves as a vindication of that controversial theory."
Alternatives: "a justification for that" or "a defense of that".
Four tries tonight was a vindication of that.
They seem to see Iraq's wreckage as a vindication of that war, not an indictment of it.
My final confrontation with a massive sperm whale, in the two-mile-deep waters off the Azores, was both a culmination and a vindication of that half-decade-long adventure.
It's a vindication of that effort that they get to manage the bears".
Time, and the progress swiftly made by him and his supporters, are a vindication of all that he worked and yearned for.
"Our team has spent some time this morning talking to members of our Victims and Survivors Forum and I think it is true to say that some members of the forum are triumphant, feeling that this is a vindication of their view that the peace building and conflict resolution centre should never have gone ahead at the Maze.
Egyptians celebrated the sentence as a triumph for the rule of law and a vindication of the revolution that defined the Arab Spring.
His impressive run in Melbourne clearly felt like a vindication of a decision that attracted scepticism and derision in some quarters - all of which provided the kind of motivation which spurs him on.
For Sanders, the show is a vindication of the notion that diagnosis itself is a process that exposes everyone's vulnerabilities, strengths and weaknesses – not in all cases, certainly, but in the ones that are really interesting.
Terry's constant theme is that Shakespeare's plays are a vindication of women, and that his female characters have more moral courage than his men.
A Time profile, from July of 1987, titled "Prom Queen of Soul," describes her "impeccable face, sleek figure, and supernova smile," like "a Cosby kid made in heaven," before arguing that Houston represents an "overdue vindication of that neglected American institution: the black middle class".
