reserve i,j,l for Nat;
reserve q for Point of TOP-REAL 2;

theorem
  for f being non constant standard special_circular_sequence holds
  LeftComp f <> RightComp f
proof
  let f be non constant standard special_circular_sequence;
  set g = Rotate(f,N-min L~f);
A1: L~f = L~g by REVROT_1:33;
  N-min L~f in rng f by SPRECT_2:39;
  then
A2: g/.1 = N-min L~g by A1,FINSEQ_6:92;
A3: RightComp g = RightComp f by REVROT_1:37;
  LeftComp g = LeftComp f by REVROT_1:36;
  hence thesis by A2,A3,Lm2;
end;
