[El_Hombre_Grande]

I'm not sure I understand the question, entirely, as the proof is rather self evident. Poker is a game of odds, that change based on a combination of known and unknown cards. All the FTOP says is that when you play differently than you would if you had perfect knowledge, you lose, and when your opponents plays differently you gain. its really just a building block for understanding more complicated issues like deception, semi-bluffing, and value betting.

I mean, you really don't doubt that knowing you opponents hole cards would allow you to play in a more profitable manner, and is indeed what we should base our game on?