The Russians warned us about the Tsaernev brothers and we did nothing with the information.
L
Yes, that is correct, and there are some additional facts about the timeline that show Russian Good Faith.
The early (and non public) warning (by the FSB) indicates earnest anti terrorist cooperation by Russia without ulterior motives, as the time allowed full investigation by the FBI and the discovery of who financed and directed the Tsarnaev Brothers.
As you said, the FBI did nothing.