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Proof step 26 from proof copy-bet-bet (previous step)

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

User applied rule insert rewrite lemma

And obtained the following new goals

Rule argument

[speclemmaarg: ,¬ j < 0 → abs(j) = j ,[j] → [i0 + j - 1 + j0] ,F ,int-abs , ,Abs-pos ]

Additional information

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