The phrase "does not rest with" is correct and usable in written English.
It is typically used to express that responsibility or power does not lie with someone or something. Example: The decision to close the school for renovations does not rest with the principal, but with the board of education.
The decision, of course, does not rest with Mr. Bernanke alone.
"What I respectfully suggest is that statute ensures that the final word does not rest with Strasbourg, but with our Supreme Court," said Lord Judge.
Nonetheless, the blame for permitting access to mass-murder weapons does not rest with lobbyists like Hammer, but with the legislature.
Here the use of biblical allusion is not symbolism or metaphor, which are both rhetorical techniques for enriching a narrative whose primary interest does not rest with the larger resonances of the Bible.
But Miller, a professor of politics at the New School and author of a biography of Michel Foucault, among other books, does not rest with digging out petty failings or moments of hypocrisy.
"The world's political fate does not rest with leaders at the summit, expressing the will of world people, but with the local ambitions and fears of lower-echelon political machines, within the major weapons-possessing nations, whose vacillation is accompanied by an increasing spread of the atomic weapons-possessing nations. . . .
Another problem, the report points out, is that the decision now doesn't rest with the Fed or some institution that has some slight hope of being neutral, but with the Treasury secretary and the president.
Even leaving aside the fact that an average wedding costs about $27,000, marriage means being financially ready to take care of another person – and the burden of being a provider doesn't rest with only half of a couple.
So if the case for independence doesn't rest with the big old ideas – anti-colonialism, freedom struggles, the liberation of a repressed identity – does it lie simply with more effective governance, and in the possibility of being slightly better-off (£250 per head was one SNP projection) after the divorce?
"It doesn't rest with this.
This suggests the TV networks are comfortable with or at least resigned to the notion that the burden of combating piracy doesn't rest with the hosting sites alone.
