The minutes from the latest Federal Reserve meeting give more credence to the notion that the Fed will raise rates sooner rather than later, given the improvements in labor markets and thanks, in part, to an unexpected lift in headline inflation.

Federal Reserve Bank Chair Janet Yellen.

But, while inflation hawks seem to have made some progress in bringing other Federal Open Market Committee members over toward their view, that labor market slack is diminishing and that headline inflation WAS rising, their view is predicated on a number of factors that have shifted in recent weeks.