theorem Th46: :: JORDAN1J:46

for n being Nat
for C being connected compact non horizontal non vertical Subset of (TOP-REAL 2)
for p being Point of (TOP-REAL 2) st p in L~ (Upper_Seq (C,n)) & p `1 = E-bound (L~ (Cage (C,n))) holds
p = E-max (L~ (Cage (C,n)))