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Proof step 8 from proof get-rest (previous step)

getarray(r, i, 2, st) = val ' + vals, val ∈ getarray(r, i, 2, st), ∀ i1, r, i, st. i→n(i1) < i→n(1) → (0 ≤ i1 → getarray(r, i, i1 + 1, st) .rest = getarray(r, i + 1, i1, st)) ⊦ vals = st[r -- (i + 1) '] '

User applied rule insert rewrite lemma

And obtained the following new goals

Proof step 6:
⊦ 1 < j → getarray(r, i, j, st) = getarray(r, i, j - 1, st) + st[r -- (i + j - 1) ']
Proof step 7:
⊦ getarray(r, i, 1, st) = st[r -- i '] '

Rule argument

[crewrite-arg: getArray-rec, F, [st, j, i, r] → [st, 2, i, r]]

Additional information

[[CONCRETESIMPRULES : ([CSIMPSEQ : ⊦ i + j = j + i], [CSIMPSEQ : ⊦ ((* i)) + i0 - ((* j)) = (i - j) + i0], [CSIMPSEQ : ⊦ i + j + i0 = (i + j) + i0], [CSIMPSEQ : ⊦ vals + val = vals + val '], [CSIMPSEQ : ⊦ val ' + vals = val0 ' + vals0 ↔ val = val0 ∧ vals = vals0], [CSIMPSEQ : ⊦ (vals + vals0) + vals1 = vals + vals0 + vals1])], [EXTRATERMS : (st, 2, i, r)]]