embodiments disclosed herein provide a method of implanting an intervertebral disk prosthesis that can be assembled and disassembled in a minimally invasive fashion . the prosthesis comprises a first fixing element having an anchoring first face and a cooperation second face ; a second fixing element having an anchoring first face and a cooperation second face ; a first prosthesis element having an active first face and a cooperation second face , the cooperation faces of the first fixing element and the first prosthesis element serving to fasten the two elements together ; a second prosthesis element having an active first face and a cooperation second face , the cooperation faces of the second fixing element and the second prosthesis element serving to fasten the two elements together ; and each of the active faces of the prosthesis elements defining at least a portion of a spherical cap .