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Proof step 29 from proof copy-bet-bet (previous step)

i0 + j - 1 = i, i0 < i, j0 < i, i0 ≤ j0, 0 < j, i0 ≤ i, ∀ 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) '])) ⊦ 2 * i0 + j = (i + j0) + 1, i = j0, st[r -- (i + j0 - i0) '] = st[r -- (i + j - 1 + (i - j0) % (i - i0)) ']

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 28:
j0 + 1 < i0 + j, i0 < j0, 1 < j, 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) '])) ⊦ i0 = j0, i0 + j = j0 + 1, st[r -- (j0 + j - 1) '] = st[r -- (2 * j + i0 - 2 + (i0 + j - 1 + j0) % (j - 1)) ']

Rule argument

[emptyarg]

Additional information

[[CONCRETESIMPRULES : ([CSIMPFORWARD : ⊦ i < j ∧ 0 < i → 0 < j ∧ 1 < j], [CSIMPSEQ : ⊦ 1 ≤ i ↔ 0 < i], [CSIMPSEQ : ⊦ i + j ≤ i + j0 ↔ j ≤ j0], [CSIMPSEQ : ⊦ i ≤ j - i0 ↔ i + i0 ≤ j], [CSIMPSEQ : ⊦ i ≠ j → (i ≤ j ↔ i < j)], [CSIMPSEQ : ⊦ i + j < i + i0 ↔ j < i0], [CSIMPSEQ : ⊦ i < j - i0 ↔ i + i0 < j], [CSIMPSEQ : ⊦ i - j - i0 = i - j + i0], [CSIMPSEQ : ⊦ i + i = 2 * i], [CSIMPSEQ : ⊦ i + j - 1 - i = j - 1], [CSIMPSEQ : ⊦ i + (j - i0) = i + j - i0], [CSIMPSEQ : ⊦ i - j = i0 ↔ i = i0 + j], [CSIMPSEQ : ⊦ i * j = j * i], [CSIMPSEQ : ⊦ i * j * j0 = (i * j) * j0], [CSIMPSEQ : ⊦ 1 * i = i], [CSIMPSEQ : ⊦ ((* i2)) * i = i + j0 ↔ (i2 - 1) * i = j0], [CSIMPSEQ : ⊦ i + j = i + i0 ↔ j = i0], [CSIMPSEQ : ⊦ i + j = j + i], [CSIMPSEQ : ⊦ i + j + i0 = (i + j) + i0], [CSIMPSEQ : ⊦ i + (j - i) = j])]]