for G being _Graph for W being Walk of G st W is chordal holds ex m, n being oddNat st ( m + 2 < n & n <=len W & W . m <> W . n & ex e being object st e Joins W . m,W . n,G & ( W is Cycle-like implies ( ( not m = 1 or not n =len W ) & ( not m = 1 or not n =(len W)- 2 ) & ( not m = 3 or not n =len W ) ) ) )