theorem Th58: :: JORDAN1A:58

for k, n, t being Nat
for C being connected compact non horizontal non vertical Subset of (TOP-REAL 2) st 1 <= k & k <= len (Cage (C,n)) & 1 <= t & t <= len (Gauge (C,n)) & (Cage (C,n)) /. k = (Gauge (C,n)) * (t,(width (Gauge (C,n)))) holds
(Cage (C,n)) /. k in N-most (L~ (Cage (C,n)))