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Proof step 11 from proof get-del-01 (previous step)

0 < j, ∀ j0, r, r0, i, st. i→n(j0) < i→n(j) → (true → r = r0 ∨ getarray(r, i, j0, st -- r0) = getarray(r, i, j0, st)) ⊦ getarray(r, i, j, st -- r0) = getarray(r, i, j, st), r = r0

User applied rule insert rewrite lemma

And obtained the following new goals

Proof step 2:
⊦ 1 < j → getarray(r, i, j, st) = getarray(r, i, j - 1, st) + st[r -- (i + j - 1) ']
Proof step 3:
⊦ getarray(r, i, 1, st) = st[r -- i '] '
Proof step 10:
1 < j, 0 < j, ∀ j0, r, r0, i, st. i→n(j0) < i→n(j) → (true → r = r0 ∨ getarray(r, i, j0, st -- r0) = getarray(r, i, j0, st)) ⊦ getarray(r, i, j - 1, st -- r0) + (st -- r0)[r -- (i + j - 1) '] = getarray(r, i, j, st), r = r0

Rule argument

[crewrite-arg: getArray-rec, F, [st, j, i, r] → [st -- r0, j, i, r]]

Additional information

[[CONCRETESIMPRULES : ([CSIMPSEQ : ⊦ ¬ i < j ↔ j ≤ i], [CSIMPSEQ : ⊦ 0 < i → (i ≤ 1 ↔ i = 1)], [CSIMPSEQ : ⊦ r ≠ r0 → (st -- r)[r0 -- sk0] = st[r0 -- sk0]], [CSIMPSEQ : ⊦ val ' = val0 ' ↔ val = val0])], [EXTRATERMS : (st -- r0, j, i, r)]]