A lid (80) for large size industrial or commercial solid waste containers is mounted to the upper rear edge of the container (70) by single or double linkages (94, 94') that permit the lid to hang down close to the rear of the container, to reduce the front to rear extent of the assembly when the lid is fully open. A plurality of prop lugs (104a, b, c) are formed on the underside of the lid and aligned with a rear edge banding which forms a fulcrum support for the prop lugs when the lid is in an intermediate open position.