| i0 ^ i -1 * i0 = i0 ^ j, 1 < i0, 0 < i, 2 ≤ i0, 0 ≤ i, 0 ≤ j, ∀ i1, i0, j. i→n(i1) < i→n(i) → i0 ^ i1 = i0 ^ j ∧ 1 < i0 ∧ 2 ≤ i0 ∧ 0 ≤ i1 ∧ 0 ≤ j → i1 = j ⊦ i = j |
i0 ^ i -1 * i0 = i0 ^ j, 1 < i0, 0 < i, 2 ≤ i0, 0 ≤ i, 0 ≤ j, ∀ i1, i0, j. i→n(i1) < i→n(i) → i0 ^ i1 = i0 ^ j ∧ 1 < i0 ∧ 2 ≤ i0 ∧ 0 ≤ i1 ∧ 0 ≤ j → i1 = j ⊦ i = j
Used simplifier rules: ⊦ 1 ≤ i ↔ 0 < i; (s)%numlsf-02: ⊦ (* i) < j → i + 1 ≤ j; (forward) from specification int-abs