| j0 < i0 + j, i0 ≤ j0, i < i0 + j, i0 < i, 0 < j, ∀ j1, i0, i, j0, r, st. i→n(j1) < i→n(j) → ( true → ( i0 < i ∧ i < i0 + j1 ∧ i0 ≤ j0 ∧ j0 < i0 + j1 → (arraycopy(r, i, r, i0, j1, st)[r -- j0 ']) = st[r -- (i + j1 - (i0 + j1 - j0 + 1) % (i - i0) + 1) '])) ⊦ (arraycopy(r, i, r, i0, j - 1, st[r -- (i0 + j - 1) ', st[r -- (i + j - 1) ']])[r -- j0 ']) = st[r -- (i + j - (i0 + j - j0 + 1) % (i - i0) + 1) '], i0 + j = j0 + 1 |
⊦ i0 + j ≤ i ∧ i0 ≤ j0 ∧ j0 < i0 + j → (arraycopy(r, i, r, i0, j, st)[r -- j0 ']) = st[r -- ((j0 - i0) + i) ']
¬ (i0 + (j - 1) ≤ i ∧ i0 ≤ j0 ∧ j0 < i0 + (j - 1)), j0 < i0 + j, i0 ≤ j0, i < i0 + j, i0 < i, 0 < j, ∀ j1, i0, i, j0, r, st. i→n(j1) < i→n(j) → ( true → ( i0 < i ∧ i < i0 + j1 ∧ i0 ≤ j0 ∧ j0 < i0 + j1 → (arraycopy(r, i, r, i0, j1, st)[r -- j0 ']) = st[r -- (i + j1 - (i0 + j1 - j0 + 1) % (i - i0) + 1) '])) ⊦ (arraycopy(r, i, r, i0, j - 1, st[r -- (i0 + j - 1) ', st[r -- (i + j - 1) ']])[r -- j0 ']) = st[r -- (i + j - (i0 + j - j0 + 1) % (i - i0) + 1) '], i0 + j = j0 + 1
i0 + (j - 1) ≤ i ∧ i0 ≤ j0 ∧ j0 < i0 + (j - 1), j0 < i0 + j, i0 ≤ j0, i < i0 + j, i0 < i, 0 < j, ∀ j1, i0, i, j0, r, st. i→n(j1) < i→n(j) → ( true → ( i0 < i ∧ i < i0 + j1 ∧ i0 ≤ j0 ∧ j0 < i0 + j1 → (arraycopy(r, i, r, i0, j1, st)[r -- j0 ']) = st[r -- (i + j1 - (i0 + j1 - j0 + 1) % (i - i0) + 1) '])) ⊦ (st[r -- (i0 + j - 1) ', st[r -- (i + j - 1) ']][r -- ((j0 - i0) + i) ']) = st[r -- (i + j - (i0 + j - j0 + 1) % (i - i0) + 1) '], i0 + j = j0 + 1
[[CONCRETESIMPRULES : ()], [EXTRATERMS : (j0, st[r -- (i0 + j - 1) ', st[r -- (i + j - 1) ']], j - 1, i0, i, r)]]