Giardiasis said:
The internet? Its called longitudinal data, scientific literature, specifically the climate change literature, ignore anything not peer reviewed or published by no-name organisations, maybe google 'climate change', or 'coal and climate change'? Good starting point anyway.
edit: OK, re read your claim. Sorry, I thought you meant 'unlikely that someone could prove a coal fired power station is causing environmental damage via climate change', that's been proven obviously, I didn't register the 'them', ie legally proving specific damage to an individual from a specific coal plant. Pondering that specific point, my gut feel was 'probably not, but won't be far away'.
Anyhow I googled 'lawsuits against coal fired power stations', this came up.
http://www.cambridge.org/au/academic/subjects/law/environmental-law/climate-change-litigation-regulatory-pathways-cleaner-energy
skimmed the e-book. Looks very interesting. Successful lawsuits against coal companies are becoming more common, routine even. But more on other toxic aspects of mostly older plants, coal dust, heavy metals, leaking sludge from settling ponds of scrubber-waste, that kind of thing. But the contribution of GH gases by an individual plant is now being routinely considered by courts and many top legal minds believe its just a matter of time before its used to shut down a plant or stop one being built.
So the book says, 'won't be far away'. Check it out, nice cover, hot off the presses 2015. its looks a good read, Cambridge Uni Press, blue ribbon mob, and the lawyer authors seem to know their stuff.