A lid (100) for a container (1901) includes a first sliding door (102) and a second sliding door (103). A lid body (101) has a container engaging section (104) and an interior section (103) having a sliding surface (120) and a sharps disposal aperture (119). The second sliding door interlocks between the sliding surface and the first sliding door. The first sliding door and the second sliding door are selectively slidable between: an open position (1100) with a minor protuberance (124) and the major protuberance (125) disposed beneath the second sliding door; a partially closed position (1500) with an edge (701) of the second sliding door disposed between the minor protuberance and the major protuberance; and a closed position (1700) with the major protuberance disposed between the edge of the second sliding door and the minor protuberance.