theorem
  ex j being Nat st 1 <= j & j <= width Gauge(C,n) & Gauge(C,
  n)*(len Gauge(C,n),j) in rng Cage(C,n)
proof
  consider j be Nat such that
A1: 1 <= j and
A2: j <= width Gauge(C,n) and
A3: E-min L~Cage(C,n) = Gauge(C,n)*(len Gauge(C,n),j) by Th24;
  take j;
  thus thesis by A1,A2,A3,SPRECT_2:45;
end;
