An accommodating intraocular lens implant includes an anterior floating lens unit, a posterior lens unit, an anterior rim complex disposed such that the anterior floating lens unit is movable toward and away from the anterior rim complex. A plurality of levers are in jointed connection with: the anterior floating lens unit at respective first longitudinal sites along the levers, the anterior rim complex at respective second longitudinal sites along the levers, and the posterior lens unit at respective third longitudinal sites along the levers. The respective second longitudinal sites are longitudinally between the respective first and the respective third longitudinal sites. The levers are arranged (a) such that the third longitudinal sites serve as respective fulcrums for the plurality of levers, and (b) to move the anterior floating lens unit toward and away from the anterior rim complex, in the anterior-posterior direction. Other embodiments are also described.