theorem Th47: :: JORDAN1G:47

for C being connected compact non horizontal non vertical Subset of (TOP-REAL 2)
for n being Nat st n > 0 holds
First_Point ((L~ (Upper_Seq (C,n))),(W-min (L~ (Cage (C,n)))),(E-max (L~ (Cage (C,n)))),(Vertical_Line (((W-bound (L~ (Cage (C,n)))) + (E-bound (L~ (Cage (C,n))))) / 2))) in rng (Upper_Seq (C,n))