| 0 ≤ i ∧ 2 ^ i ≤ j, ∀ j0, i. i→n(j0) < i→n(j) → 0 ≤ i ∧ 2 ^ i ≤ j0 → uint2bits(j0 / 2 ^ i) = butlastn(i→n(i), uint2bits(j0)) ⊦ uint2bits(j / 2 ^ i) = butlastn(i→n(i), uint2bits(j)) |
2 ^ i ≤ j, 0 ≤ i, ∀ j0, i. i→n(j0) < i→n(j) → 0 ≤ i ∧ 2 ^ i ≤ j0 → uint2bits(j0 / 2 ^ i) = butlastn(i→n(i), uint2bits(j0)) ⊦ uint2bits(j / 2 ^ i) = butlastn(i→n(i), uint2bits(j))