reserve i, i1, i2, j, k for Nat,
  r, s for Real;
reserve D for non empty set,
  f1 for FinSequence of D;

theorem Th32:
  for f being non constant standard special_circular_sequence,
      i1,i2 being Nat st 1<=i1 & i1<=i2 & i2<len f holds
  mid(f,i2,i1) is_a_part<_of f,i2,i1
proof
  let f be non constant standard special_circular_sequence, i1,i2 be Nat;
  assume that
A1: 1<=i1 and
A2: i1<=i2 and
A3: i2<len f;
  Rev mid(f,i1,i2) is_a_part<_of f,i2,i1 by A1,A2,A3,Th29,Th31;
  hence thesis by FINSEQ_6:196;
end;
