Maybe it's worth one more section near "Any Ideas On Why It Is True?", something like: Are you beginning to doubt whether it's true? Try to think of a counter

Maybe it's worth one more section near "Any Ideas On Why It Is True?", something like: Are you beginning to doubt whether it's true? Try to think of a counterexample. Is there something that keeps getting in the way of a counterexample working? Can you prove that that always happens?