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Proof step 37 from proof copy-succ (previous step)

0 ≤ j ⊦ (arraycopy(r, i, r0, i0, j, st)[r0 -- (i0 + j) ', st[r -- (i + j) ']]) = arraycopy(r, i, r0, i0, j + 1, st), r = r0

User applied rule insert rewrite lemma

And obtained the following new goals

Proof step 1:
⊦ 0 < j → arraycopy(r1, i1, r2, i2, j, st) = arraycopy(r1, i1, r2, i2, j - 1, st[r2 -- (i2 + j - 1) ', st[r1 -- (i1 + j - 1) ']])
Proof step 36:
0 < j + 1, 0 ≤ j ⊦ (arraycopy(r, i, r0, i0, j, st)[r0 -- (i0 + j) ', st[r -- (i + j) ']]) = arraycopy(r, i, r0, i0, j + 1 - 1, st[r0 -- (i0 + j + 1 - 1) ', st[r -- (i + j + 1 - 1) ']]), r = r0

Rule argument

[crewrite-arg: arrayCopy-rec , F , [st, j, i2, r2, i1, r1] → [st, j + 1, i0, r0, i, r] ]

Additional information

[[CONCRETESIMPRULES : ([CSIMPSEQ : ⊦ ((* j)) < i0 + ((* j0)) ↔ j - j0 < i0], [CSIMPSEQ : ⊦ (~1) < i ↔ 0 ≤ i], [CSIMPSEQ : ⊦ ¬ i ≤ j ↔ j < i], [CSIMPSEQ : ⊦ i ≤ j → (¬ ¬ j < i ↔ false)], [CSIMPSEQ : ⊦ i + j + i0 = (i + j) + i0], [CSIMPSEQ : ⊦ i + j = j + i])], [EXTRATERMS : (st, j + 1, i0, r0, i, r)]]