theorem :: JORDAN1B:31

for n being Nat
for C being connected compact non horizontal non vertical Subset of (TOP-REAL 2) holds LSeg (((Gauge (C,n)) * ((Center (Gauge (C,n))),1)),((Gauge (C,n)) * ((Center (Gauge (C,n))),(len (Gauge (C,n)))))) meets Upper_Arc (L~ (Cage (C,n)))