reserve n for Nat;

theorem
  for C be compact non vertical non horizontal Subset of TOP-REAL 2 for
  n be Nat holds L~Cage(C,n) = L~(Upper_Seq(C,n) ^' Lower_Seq(C,n))
proof
  let C be compact non vertical non horizontal Subset of TOP-REAL 2;
  let n be Nat;
  Rotate(Cage(C,n),W-min L~Cage(C,n)) = Upper_Seq(C,n) ^' Lower_Seq(C,n)
  by Th11;
  hence thesis by REVROT_1:33;
end;
