reserve i, j, n for Nat,
  f for non constant standard special_circular_sequence,
  g for clockwise_oriented non constant standard special_circular_sequence,
  p, q for Point of TOP-REAL 2,
  P for Subset of TOP-REAL 2,
  C for compact non vertical non horizontal Subset of TOP-REAL 2,
  G for Go-board;

theorem
  3 <= len Gauge(C,n)-'1
proof
  set G = Gauge(C,n);
  4 <= len G by JORDAN8:10;
  then 4 - 1 <= len G-1 by XREAL_1:13;
  hence thesis by XREAL_0:def 2;
end;
