Can a shoved “prone” creature that is grappled still be moved 1/2 movement by the Grappler?

@JeremyECrawford @mikemearls Can a shoved "prone" creature that is grappled still be moved/dragged 1/2 movement by the Grappler?

— Ben Jackson (@oilpainting71) January 14, 2016

Nothing in the rules prevents you from dragging a prone creature you're grappling. #DnD https://t.co/WarfBXgqSE

— Jeremy Crawford (@JeremyECrawford) January 15, 2016