"which might prove" is a grammatically correct phrase and can be used in written English.
It is typically used in a sentence to introduce a potential outcome or result of an action or situation. Here is an example of how to use it in a sentence: "The company is planning to launch a new product, which might prove to be a game-changer in the industry."
Which might prove to be a little less dramatic.
I would give him the records of my training, which might prove useful for his research.
There's no time for any but a superficial analysis or, maybe more important, for an extended narrative, which might prove or disprove the author's hypotheses.
There is a certain grumpiness that tinges his answers, even some of the cheerful ones, which might prove to be an anchor against sanctimony.
All of which might prove the point about the internet's reliability, but it rather undermines the notion of the mainstream media's ability to get to the truth.
Nor will there be subtitles, which might prove a challenge for many moviegoers, since the actors will speak only Aramaic and Latin.
Totally oppressive advert content, which might prove useful to anyone with a bladder problem but, for anyone who wishes to follow the story, very disruptive.
However the newspaper noted concerns about the "inclusion of one line which might prove to be a big irritant in [Indian] plans to build coal-fired power plants".
One is that dashing inheritance-tax scheme, which might prove less popular in an entrenched recession than it once seemed, especially when relentlessly characterised by Labour as a gift to the rich from the party of the rich.
Avant-garde filmmakers are increasingly taking advantage of the Internet, which might prove a more dependable means of distribution for work that has historically been available only for brief periods of time.
Speculation about the future of the rest of the euro zone could spread to much larger economies like Spain, which might prove too big for Europe to shore up with its existing bailout funds.
