Let a and b be numbers, with a > b. Certainly, 2 > 1. Multiply both sides by b - a.
2(b - a) > 1 (b - a)
2b - 2a > b - a
2b - b > 2a - a
b > a
But the final inequality is impossible because of the Trichotomy Law, and we also know that a > b from the given information.