theorem
  SphereMap.i = c[100]
  proof
    thus SM.i = |[cos(2*PI*i+Q),sin(2*PI*i)+Q,0]| by Def6
    .= |[cos(0),sin(2*PI*i+Q),0]| by COMPLEX2:9
    .= c[100] by COMPLEX2:8,SIN_COS:31;
  end;
