I realize that using eggs instead of cats probably would have been more applicable to this problem. But OP inadvertently demonstrated another problem: proofs b

I realize that using eggs instead of cats probably would have been more applicable to this problem. But OP inadvertently demonstrated another problem: proofs built upon flawed postulates are not only flawed themselves, but a colossal waste of time. I wonder how many scientists and engineers in the real world are spending so much time calculating the trees that they've lost sight of the forest. Probably more than most people think.