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Proof step 10 from proof copy-lower (previous step)

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

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 9:
j0 < i0, 0 < j, ∀ j1, j0, i0, r, i, r0, st. i→n(j1) < i→n(j) → (j0 < i0 → (arraycopy(r, i, r0, i0, j1, st)[r0 -- j0 ']) = st[r0 -- j0 ']) ⊦ (arraycopy(r, i, r0, i0, j - 1, st[r0 -- (i0 + j - 1) ', st[r -- (i + j - 1) ']])[r0 -- j0 ']) = st[r0 -- j0 ']

Rule argument

[emptyarg]

Additional information

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