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Proof step 8 from proof getbar-add-01 (previous step)

0 < i0 + 1, 0 ≤ i0, ∀ st, vals, ty, i, r0, r, j0. i→n(j0) < i→n(i0 + 1) → (true → r = r0 ∨ getbytearray(r, i, j0, addarray(r0, ty, vals, st)) = getbytearray(r, i, j0, st)) ⊦ r = r0, st[r -- i '] .byteval ' + getbytearray(r, i + 1, i0, addarray(r0, ty, vals, st)) = st[r -- i '] .byteval + getbytearray(r, i + 1, i0 + 1 - 1, st)

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 7:
0 ≤ i0, ∀ st, vals, ty, i, r0, r, j0. i→n(j0) < i→n(i0 + 1) → (true → r = r0 ∨ getbytearray(r, i, j0, addarray(r0, ty, vals, st)) = getbytearray(r, i, j0, st)) ⊦ r = r0, getbytearray(r, i + 1, i0, addarray(r0, ty, vals, st)) = getbytearray(r, i + 1, i0, st)

Rule argument

[emptyarg]

Additional information

[[CONCRETESIMPRULES : ([CSIMPSEQ : ⊦ i ≤ 0 ∧ 0 ≤ j → i ≤ j], [CSIMPSEQ : ⊦ (~1) < i ↔ 0 ≤ i], [CSIMPSEQ : ⊦ ((* j)) < i0 + ((* j0)) ↔ j - j0 < i0], [CSIMPSEQ : ⊦ (bytes + bytes0) + bytes1 = bytes + bytes0 + bytes1], [CSIMPSEQ : ⊦ bytes + bytes0 = bytes + bytes1 ↔ bytes0 = bytes1], [CSIMPSEQ : ⊦ by + bytes = by ' + bytes], [CSIMPSEQ : ⊦ i + j = j + i], [CSIMPSEQ : ⊦ i + j + i0 = (i + j) + i0], [CSIMPSEQ : ⊦ i + 0 = i], [CSIMPSEQ : ⊦ ((* i)) + i0 - ((* j)) = (i - j) + i0])]]