A system for moving a leaf of a slidable lifting door or door-window, which comprises the leaf and a frame that can be fixed to a stationary support structure over a floor, the leaf including insulating means facing the floor, the system being configured to move the leaf between a locked lowered closed position, in which the insulating means are compressed against the floor so that sliding is hindered, and at least two unlocked raised closed and open positions, between which the leaf is free to slide, the system comprising:
- a guide rail configured to be anchored to the frame above the leaf and defining an axis;
- sliding means slidably engaged in the guide rail;
- movement means for moving the leaf between the locked lowered closed and the unlocked raised closed positions, the movement means and the sliding means being operatively connected so that the sliding means slidably support the leaf when in the unlocked raised closed position;
- electrical actuator means operatively connected, or adapted to be connected, with the movement means, the electric actuator means being configured to be selectively controlled by a user;
- and
- electrical power supply means of the electrical actuator means,
- wherein the actuator means and the movement means are configured to be positioned on the leaf, the electrical power supply means power-supplying the actuator means so that the user can control a movement of the leaf between the locked lowered closed position and the unlocked raised closed position.