reserve i,j,k,m,n for Nat,
  f for FinSequence of the carrier of TOP-REAL 2,
  G for Go-board;

theorem Th5:
  for C being compact non vertical non horizontal Subset of
TOP-REAL 2 for n being Nat holds Upper_Seq(C,n)/.1 = W-min(L~Cage(C,
  n))
proof
  let C be compact non vertical non horizontal Subset of TOP-REAL 2;
  let n be Nat;
  E-max L~Cage(C,n) in rng Cage(C,n) by SPRECT_2:46;
  then
  Upper_Seq(C,n) = Rotate(Cage(C,n),W-min L~Cage(C,n))-:E-max L~Cage(C,n)
  & E-max L~Cage(C,n) in rng Rotate(Cage(C,n),W-min L~Cage(C,n)) by FINSEQ_6:90
,JORDAN1E:def 1,SPRECT_2:43;
  then
  W-min L~Cage(C,n) in rng Cage(C,n) & Upper_Seq(C,n)/.1 = Rotate(Cage(C,n
  ), W-min L~Cage(C,n))/.1 by FINSEQ_5:44,SPRECT_2:43;
  hence thesis by FINSEQ_6:92;
end;
