Euclid's first common notion is this: Things which are equal to the same thing are equal to each other. That's a rule of mathematical reasoning. It's true because it works, has done and always will do. In his book, Euclid says this is self-evident. You see, there it is, even in that 2,000-year-old book of mechanical law. It is a self-evident truth that things which are equal to the same thing are equal to each other.
then
MMA Math says that if Fighter A beat Fighter B, and Fighter B beat Fighter C, then Fighter A beats Fighter C if they fight.
To put it bluntly, it doesn’t work.