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;
reserve f for clockwise_oriented non constant standard
  special_circular_sequence;

theorem
  W-bound L~g = W-bound RightComp g
proof
  set A = (Cl RightComp g) \ RightComp g;
A1: W-bound Cl RightComp g = lower_bound (proj1.:(Cl RightComp g)) by
SPRECT_1:43;
A2: L~g = A by Th19;
  Cl RightComp g is compact by Th32;
  then
A3: RightComp g is bounded by PRE_TOPC:18,RLTOPSP1:42;
  reconsider A as non empty Subset of TOP-REAL 2 by A2;
  proj1.:(Cl RightComp g) = proj1.:(L~g) & W-bound A = lower_bound (proj1
  .:A) by Th29,SPRECT_1:43;
  hence thesis by A2,A3,A1,TOPREAL6:85;
end;
