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Proof step 7 from proof copy-between (previous step)

i0 + (j - 1) ≤ j0, 0 < j, j0 < i0 + j, i0 ≤ j0, 0 < j, ∀ j1, r, r0, i0, j0, i, st. i→n(j1) < i→n(j) → (true → (r ≠ r0 ∧ i0 ≤ j0 ∧ j0 < i0 + j1 → (arraycopy(r, i, r0, i0, j1, st)[r0 -- j0 ']) = st[r -- ((j0 - i0) + i) '])) ⊦ (st[r0 -- (i0 + j - 1) ', st[r -- (i + j - 1) ']][r0 -- j0 ']) = st[r -- (i + j0 - i0) '], r = r0

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 6:
i0 + j = j0 + 1, 0 < j, i0 ≤ j0, ∀ j1, r, r0, i0, j0, i, st. i→n(j1) < i→n(j) → (true → (r ≠ r0 ∧ i0 ≤ j0 ∧ j0 < i0 + j1 → (arraycopy(r, i, r0, i0, j1, st)[r0 -- j0 ']) = st[r -- ((j0 - i0) + i) '])) ⊦ st[r -- (i + j - 1) '] = st[r -- (i + j0 - i0) '], r = r0

Rule argument

[emptyarg]

Additional information

[[CONCRETESIMPRULES : ([CSIMPSEQ : ⊦ i ≤ i], [CSIMPSEQ : ⊦ i < j + 1 ↔ i ≤ j], [CSIMPFORWARD : ⊦ i ≤ j ∧ j < j0 → i < j0], [CSIMPSEQ : ⊦ i < j → (j ≤ i + 1 ↔ j = i + 1)], [CSIMPSEQ : ⊦ i - j ≤ i0 ↔ i ≤ j + i0], [CSIMPSEQ : ⊦ i + j = j + i], [CSIMPSEQ : ⊦ i + j + i0 = (i + j) + i0], [CSIMPSEQ : ⊦ i + (j - i0) = i + j - i0], [CSIMPSEQ : ⊦ i - j = i0 ↔ i = i0 + j], [CSIMPSEQ : ⊦ i ' = i0 ' ↔ i = i0], [CSIMPSEQ : ⊦ r -- sk = r0 -- sk0 ↔ ¬ ¬ (r = r0 ∧ sk = sk0)], [CSIMPSEQ : ⊦ (st[rk0, val][rk]) = ((rk = rk0 ⊃ val; st[rk]))])]]