Their "proof" is Cohen's testimony, which has become clear he is lying to save his own arse.
As Comey has said about Hillary's many crimes and violations of statues, "There was no intent to violate the law."
Therefore, "Our judgment is that no reasonable prosecutor would bring such a case [against Hillary]," he concluded.
What's good for the goose, is good for the gander.
The question is whether there’s other proof besides Cohen’s word. Don’t forget that Cohen had been taping all his phone calls with Trump and that all that info was seized with legally approved warrants.
I don’t know if “buzzfeed” (sheesh) is right or not, but if they are, it’s more than just Cohen’s word against Trump’s.
At least Trump didn’t have sex with an intern, but he may have suborned perjury to obstruct justice.