For the roughly 2, 800 citizens of Leadville, the sudden reversal of fortune has proved disappointing.
Cutting taxes without controlling spending has proved to be a sure recipe for growing debt.
The hike has proved to be very popular, and not just with Christian pilgrims.
He has proved just how well he has come on in the last year or so.
And over the last year, Richard has proved to be a champion of American consumers.
But it boils down to an admission that he has proved fantastically difficult to package.
And despite (or perhaps because of) this lack of governance, the network has proved surprisingly resilient.
Over its eight-year run, Idol has proved far more than a ratings juggernaut for the network.
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It is precisely because the stakes are so high that a ceasefire has proved so elusive.
It has proved controversial with criticisms that it is overly generous to the private contractors.
With 6 million unique visitors a month, the Khan Academy has proved its utility.
However, the proposed creation of a slipway as part of the marina development has proved contentious.
Fixed-income trading has proved particularly challenging, and he has reorganized the unit's management several times.
This has proved to be the most environmentally challenging part of the fracking process.
Getting out from under these kinds of liabilities has proved to be very difficult.
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But given the loose structure of the group, disclaiming any involvement has proved tricky.
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It has proved a much more serious affair than was thought likely at its outset.
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The prickly issue of voting reform has proved to be a key stumbling block.
And I would like to say that the G20 has proved a positive and fruitful meeting.
TV, his pan-Asian company, has proved a better source of love than of money.
Opposed by India's then prime minister, Jawaharlal Nehru, the arrangement has proved remarkably effective.
Now that it has dissipated into a network, it has proved far less effective.
Still, for all his social media savvy, mastering the BlackBerry has proved difficult for him.
India has proved it can hold clean auctions: a 3G one in 2010 was widely praised.
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This has proved once again how tight we can expect the series to be.
Pennsylvania has previously embraced the industry and allowed drilling, and the relationship has proved mutually beneficial.
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And tight money has proved unable to shore up the peso when the world turned nasty.
Freeing central Europe's captive nations has proved far easier than freeing its captive minds.
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