A toilet set can be removably attached to a toilet fixture using a system having an attachment body and a post with laterally mateable portions. The post has a rod portion extendable through a mounting hole of the toilet fixture and a post engagement portion. The attachment body has a pivot portion, a movable closure, and a receiving opening. The post engagement portion is defined by radially oriented features, such as disc or ring-shaped portions of different diameters. A portion of the periphery of the receiving opening has features with contours inversely shaped with respect to the features of the post engagement portion so that the attachment body engagement portion is laterally mateable with the post engagement portion. The closure is movable between a closed position preventing disengagement of the attachment body and the post and an open position enabling disengagement of the attachment body from the post.