Some strings are better than others. The good ones are collectively called tords with a strange sounding word tord reserved for individual good strings. No string may be a tord unless it contains at least one trowel. A sequence of tords is called a truss iff any two consecutive tords differ by a single tatter. A truss is said to traject its extreme tords.
Theorem Let there be two tords with the same number of tatters.
Assume each of the given tords has a single trowel and those trowels occur in different positions. Prove that every truss that trajects the two tords contains at least one tord with a minimum of 2 trowels. Alexander Bogomolny 2789777 .