| 0 < i0, 0 < j, 0 ≤ i0, ∀ i1, j, i. i→n(i1) < i→n(i0) → 0 ≤ i1 ∧ 0 < j → (i |%| j) ^ i1 |%| j = i ^ i1 |%| j ⊦ (i |%| j) ^ i0 |%| j = (i ^ i0 -1 * i) |%| j |
0 < j, 0 ≤ i0, 0 < i0, ∀ i1, j, i. i→n(i1) < i→n(i0) → 0 ≤ i1 ∧ 0 < j → (i |%| j) ^ i1 |%| j = i ^ i1 |%| j ⊦ (i |%| j) ^ i0 |%| j = (i ^ (i0 - 1) * i) |%| j
Used simplifier rules: forward-le-05: ⊦ i < j ∧ 0 ≤ i → 0 < j; (forward) from specification int-abs%sub-pred: ⊦ i -1 = i - 1; from specification int-abs