| i0 ^ j < i ^ j, i ≤ i0, 0 ≤ j, 0 ≤ i, 0 ≤ i0, ∀ j0, i0, i. i→n(j0) < i→n(j) → i0 ^ j0 < i ^ j0 ∧ i ≤ i0 ∧ 0 ≤ j0 ∧ 0 ≤ i ∧ 0 ≤ i0 → false ⊦ |
i0 ^ j < i ^ j, 0 ≤ i0, 0 ≤ i, 0 ≤ j, i ≤ i0, ∀ j0, i0, i. i→n(j0) < i→n(j) → i0 ^ j0 < i ^ j0 ∧ i ≤ i0 ∧ 0 ≤ j0 ∧ 0 ≤ i ∧ 0 ≤ i0 → false ⊦