reserve n for Nat;

theorem
  for f be non empty FinSequence of TOP-REAL 2 for p,q be Point of
  TOP-REAL 2 st f is almost-one-to-one special unfolded s.n.c. & len f <> 2 & p
  in L~f & q in L~f & p<>q & p <> f.1 & q <> f.1 holds B_Cut(f,p,q) is
  being_S-Seq
proof
  let f be non empty FinSequence of TOP-REAL 2;
  let p,q be Point of TOP-REAL 2;
  assume that
A1: f is almost-one-to-one special unfolded s.n.c. and
A2: len f <> 2 and
A3: p in L~f and
A4: q in L~f and
A5: p<>q and
A6: p <> f.1 and
A7: q <> f.1;
  B_Cut(f,p,q) is_S-Seq_joining p,q by A1,A2,A3,A4,A5,A6,A7,Th43;
  hence thesis by JORDAN3:def 2;
end;
