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Proof step 3 from proof getarray-offset-02 (previous step)

0 ≤ i0 ⊦ getarray(r, i, i0 + 1, st) = st[r -- i '] ' + getarray(r, i + 1, i0, st)

User applied rule insert rewrite lemma

And obtained the following new goals

Proof step 1:
j0 ≤ j, 0 ≤ j0 ⊦ getarray(r, i, j, st) = getarray(r, i, j0, st) + getarray(r, i + j0, j - j0, st)
Proof step 2:
⊦ getarray(r, i, 1, st) = st[r -- i '] '

Rule argument

[crewrite-arg: getarray-offset , F , [j0, j, r, i, st] → [1, i0 + 1, r, i, st] ]

Additional information

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