| ¬ n < # getarray(r, i, i0, st), 0 < i0, n→i(n) ≤ i0, ∀ j0, n, r, i, st. i→n(j0) < i→n(i0 + 1) → (n→i(n) < j0 → (getarray(r, i, j0, st)[n]) = st[r -- (i + n→i(n)) ']) ⊦ (getarray(r, i, i0, st) + st[r -- (i + i0) '] ')[n] = st[r -- (i + n→i(n)) '], n = i→n(i0) |
⊦ 0 < j → # getarray(r, i, j, st) = i→n(j)
[[CONCRETESIMPRULES : ([CSIMPSEQ : ⊦ i→n(i) < n → ¬ n→i(n) ≤ i], [CSIMPSEQ : ⊦ m ≠ n → (¬ m < n ↔ n < m)])]]