reserve C for Simple_closed_curve,
  p,q,p1 for Point of TOP-REAL 2,
  i,j,k,n for Nat,
  r,s for Real;

theorem Th29:
  for S being Segmentation of C holds Segm(S,len S) meets Segm(S,1)
proof
  let S be Segmentation of C;
  Segm(S,len S) /\ Segm(S,1) = {S/.1} by Th28;
  hence thesis;
end;
