Ordered henselian valued fields have relative field quantifier elimination in the Denef-Pas language with orders and their definable sets are Borel in the order topology.
Pas `Uniform p -adic cell decomposition and local zeta functions', J.\ Reine Angew.\ Math
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Ordered henselian valued fields: definability and Borel sets
Ordered henselian valued fields have relative field quantifier elimination in the Denef-Pas language with orders and their definable sets are Borel in the order topology.