| i0 + j = j0 + 1, 0 < j, i0 ≤ j0, ∀ j1, r, r0, i0, j0, i, st. i→n(j1) < i→n(j) → (true → (r ≠ r0 ∧ i0 ≤ j0 ∧ j0 < i0 + j1 → (arraycopy(r, i, r0, i0, j1, st)[r0 -- j0 ']) = st[r -- ((j0 - i0) + i) '])) ⊦ st[r -- (i + j - 1) '] = st[r -- (i + j0 - i0) '], r = r0 |
⊦ j = i0 + j0 ↔ j - j0 = i0
[[CONCRETESIMPRULES : ([CSIMPSEQ : ⊦ i + j = j + i], [CSIMPSEQ : ⊦ i + (j - i0) = i + j - i0], [CSIMPSEQ : ⊦ i + j + i0 = (i + j) + i0], [CSIMPSEQ : ⊦ i + j - 1 - i = j - 1])], [EXTRATERMS : (1, j0, i0 + j)]]