theorem
  for D being set, p being one-to-one XFinSequence of D, n being Nat
  holds rng(p|n) misses rng(p/^n)
proof
  let D be set, p be one-to-one XFinSequence of D, n be Nat;
  rng((XFS2FS p)|n) misses rng((XFS2FS p)/^n) by FINSEQ_5:34;
  then rng((XFS2FS p)|n) misses rng(XFS2FS(p/^n)) by Th17;
  then rng(XFS2FS(p|n)) misses rng(XFS2FS(p/^n)) by Th17;
  then rng(XFS2FS(p|n)) misses rng(p/^n) by AFINSQ_1:97;
  hence rng(p|n) misses rng(p/^n) by AFINSQ_1:97;
end;
