A device to release from an implant bed in the device a self-expanding implant by pulling back proximally, the length of the implant, a rolling membrane with an inner sleeve that extends distally to the distal end of the implant and an outer sleeve that extends proximally, from the distal end of the inner sleeve, the outer sleeve, during said release, pulling the distal end of the inner sleeve back proximally over the abluminal surface of the remainder of the inner sleeve, proximal of its distal end, the device having a slitter, that is caused to move proximally contemporaneously with the outer sleeve, to slit the inner sleeve progressively, starting at a distal point in the inner sleeve, and progressing proximally along the length of the inner sleeve.