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

sublist(0, m, getarray(r, i + 1, i1, st)) = getarray(r, i + 1, n→i(m), st), n→i(m) ≤ i1, 0 ≤ i1 ⊦ st[r -- i '] ' + getarray(r, i + 1, n→i(m), st) = getarray(r, i, n→i(m) + 1, st)

User applied rule insert rewrite lemma

And obtained the following new goals

Proof step 7:
⊦ 0 < j → getarray(r, i, j, st) = st[r -- i '] ' + getarray(r, i + 1, j - 1, st)

Rule argument

[crewrite-arg: get-rec-01, F, [st, j, i, r] → [st, n→i(m) + 1, i, r]]

Additional information

[[CONCRETESIMPRULES : ([CSIMPSEQ : ⊦ 0 ≤ n→i(n)], [CSIMPSEQ : ⊦ (~1) < i ↔ 0 ≤ i], [CSIMPSEQ : ⊦ ((* j)) < i0 + ((* j0)) ↔ j - j0 < i0], [CSIMPSEQ : ⊦ i + j = j + i], [CSIMPSEQ : ⊦ ((* i)) + i0 - ((* j)) = (i - j) + i0], [CSIMPSEQ : ⊦ i + 0 = i], [CSIMPSEQ : ⊦ i + j + i0 = (i + j) + i0], [CSIMPSEQ : ⊦ vals + vals0 = vals + vals1 ↔ vals0 = vals1], [CSIMPSEQ : ⊦ (vals + vals0) + vals1 = vals + vals0 + vals1])], [EXTRATERMS : (st, n→i(m) + 1, i, r)]]