theorem :: JORDAN1D:25

for n being Nat
for C being connected compact non horizontal non vertical Subset of (TOP-REAL 2) ex j being Nat st
( 1 <= j & j <= width (Gauge (C,n)) & E-max (L~ (Cage (C,n))) = (Gauge (C,n)) * ((len (Gauge (C,n))),j) )