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Proof step 8 from proof getarray-offset (previous step)

0 ≤ j0, j0 ≤ 1, ∀ j1, j0, r, i, st. i→n(j1) < i→n(1) → (j0 ≤ j1 ∧ 0 ≤ j0 → getarray(r, i, j1, st) = getarray(r, i, j0, st) + getarray(r, i + j0, j1 - j0, st)) ⊦ st[r -- i '] ' = getarray(r, i, j0, st) + getarray(r, i + j0, 1 - j0, st)

User applied rule insert rewrite lemma

And obtained the following new goals

Proof step 4:
⊦ j ≤ 0 → getarray(r, i, j, st) = []
Proof step 5:
⊦ getarray(r, i, 0, st) = []
Proof step 6:
⊦ getarray(r, i, 1, st) = st[r -- i '] '
Proof step 7:
⊦ getarray(r, i, 1, st) = st[r -- i '] '

Rule argument

[crewrite-arg: getArray-zero, F, [st, j, i, r] → [st, j0, i, r]]

Additional information

[[CONCRETESIMPRULES : ([CSIMPSEQ : ⊦ i + j = j + i], [CSIMPSEQ : ⊦ i + j + i0 = (i + j) + i0], [CSIMPSEQ : ⊦ i + 0 = i], [CSIMPSEQ : ⊦ [] + vals = vals], [CSIMPSEQ : ⊦ i ≤ j → (j ≤ i ↔ i = j)], [CSIMPSEQ : ⊦ i ≠ j → (i ≤ j ↔ i < j)], [CSIMPSEQ : ⊦ 0 < i → (i ≤ 1 ↔ i = 1)], [CSIMPSEQ : ⊦ i = j → i - j = 0], [CSIMPSEQ : ⊦ vals + [] = vals], [CSIMPSEQ : ⊦ (vals + vals0) + vals1 = vals + vals0 + vals1], [CSIMPFORWARD : ⊦ i < j ∧ 0 ≤ i → 0 < j], [CSIMPSEQ : ⊦ val ' = val0 ' ↔ val = val0])], [EXTRATERMS : (st, j0, i, r)]]