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Proof step 11 from proof copy-bet-bet (previous step)

i ≠ 1 + i0 + (i0 + j - 2 + j0) % (i - i0), (arraycopy(r, i, r, i0, j - 1, st[r -- (i0 + j - 1) ', st[r -- (i + j - 1) ']])[r -- j0 ']) = st[r -- (i + j - 2 + (i0 + j - 2 + j0) % (i - i0)) '], j0 < i0 + j, i0 ≤ j0, i < i0 + j, i0 < i, 0 < j, ∀ j1, i0, i, j0, r, st. i→n(j1) < i→n(j) → ( true → ( i0 < i ∧ i < i0 + j1 ∧ i0 ≤ j0 ∧ j0 < i0 + j1 → (arraycopy(r, i, r, i0, j1, st)[r -- j0 ']) = st[r -- (i + j1 - (i0 + j1 - j0 + 1) % (i - i0) + 1) '])) ⊦ (arraycopy(r, i, r, i0, j - 1, st[r -- (i0 + j - 1) ', st[r -- (i + j - 1) ']])[r -- j0 ']) = st[r -- (i + j - (i0 + j - j0 + 1) % (i - i0) + 1) '], i0 + j = j0 + 1, i0 + j = i + 1

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 10:
(arraycopy(r, i, r, i0, j - 1, st[r -- (i0 + j - 1) ', st[r -- (i + j - 1) ']])[r -- j0 ']) = st[r -- (i + j - 2 + (i0 + j - 2 + j0) % (i - i0)) '], j0 < i0 + j, i0 ≤ j0, i < i0 + j, i0 < i, 0 < j, ∀ j1, i0, i, j0, r, st. i→n(j1) < i→n(j) → ( true → ( i0 < i ∧ i < i0 + j1 ∧ i0 ≤ j0 ∧ j0 < i0 + j1 → (arraycopy(r, i, r, i0, j1, st)[r -- j0 ']) = st[r -- (i + j1 - (i0 + j1 - j0 + 1) % (i - i0) + 1) '])) ⊦ st[r -- (i + j - 2 + (i0 + j - 2 + j0) % (i - i0)) '] = st[r -- (i + j - (i0 + j - j0 + 1) % (i - i0) + 1) '], i0 + j = j0 + 1, i0 + j = i + 1, i = 1 + i0 + (i0 + j - 2 + j0) % (i - i0)

Rule argument

[emptyarg]

Additional information

[[CONCRETESIMPRULES : ([CSIMPSEQ : ⊦ i + j = j + i], [CSIMPSEQ : ⊦ i + j + i0 = (i + j) + i0])]]