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Proof step 38 from proof copy-bet-bet (previous step)

true, ∀ 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 < i ∧ i < i0 + j ∧ i0 ≤ j0 ∧ j0 < i0 + j → (arraycopy(r, i, r, i0, j, st)[r -- j0 ']) = st[r -- (i + j - (i0 + j - j0 + 1) % (i - i0) + 1) ']

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 37:
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, st)[r -- j0 ']) = st[r -- (i + j - (i0 + j - j0 + 1) % (i - i0) + 1) ']

Rule argument

[emptyarg]

Additional information

[[CONCRETESIMPRULES : ([CSIMPFORWARD : ⊦ i < j ∧ 0 ≤ i → 0 < j], [CSIMPSEQ : ⊦ i + j + i0 = (i + j) + i0], [CSIMPSEQ : ⊦ i < i + j ↔ 0 < j], [CSIMPSEQ : ⊦ i + j = j + i], [CSIMPFORWARD : ⊦ i ≤ j ∧ j < j0 → i < j0])]]