reserve n for Element of NAT,
  i for Integer,
  a, b, r for Real,
  x for Point of TOP-REAL n;

theorem Th32:
  CircleMap.i = c[10]
proof
  thus CircleMap.i = |[ cos(2*PI*i+0), sin(2*PI*i) ]| by Def11
    .= |[ cos(0), sin(2*PI*i+0) ]| by COMPLEX2:9
    .= c[10] by COMPLEX2:8,SIN_COS:31;
end;
