The stable core

Bulletin of Symbolic Logic 18 (2):261-267 (2012)
Abstract Vopěnka [2] proved long ago that every set of ordinals is set-generic over HOD, Gödel's inner model of hereditarily ordinal-definable sets. Here we show that the entire universe V is class-generic over (HOD,S), and indeed over the even smaller inner model
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