let n be Nat; :: thesis: for x being Element of dyadic n holds ((axis x) - 1) / (2 |^ n) < ((axis x) + 1) / (2 |^ n)
let x be Element of dyadic n; :: thesis: ((axis x) - 1) / (2 |^ n) < ((axis x) + 1) / (2 |^ n)
( (- 1) + (axis x) < 1 + (axis x) & 0 < 2 |^ n ) by NEWTON:83, XREAL_1:8;
hence ((axis x) - 1) / (2 |^ n) < ((axis x) + 1) / (2 |^ n) by XREAL_1:74; :: thesis: verum