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Proof step 4 from proof getarray-offset-01 (previous step)

2 ≤ j, 0 < j, 0 ≤ j ⊦ getarray(r, i, j, st) = getarray(r, i, 2, st) + getarray(r, i + 2, j - 2, 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 '] '
Proof step 3:
⊦ j ≤ 0 → getarray(r, i, j, st) = []

Rule argument

[crewrite-arg: getarray-offset , F , [j0, j, r, i, st] → [2, j, r, i, st] ]

Additional information

[[CONCRETESIMPRULES : ([CSIMPSEQ : ⊦ i + j = j + i], [CSIMPSEQ : ⊦ ¬ i ≤ j ↔ j < i], [CSIMPSEQ : ⊦ 0 < j → (j < 2 ↔ j = 1)], [CSIMPSEQ : ⊦ vals + [] = vals], [CSIMPSEQ : ⊦ (vals + vals0) + vals1 = vals + vals0 + vals1])], [EXTRATERMS : (2, j, r, i, st)]]