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Proof step 14 from proof copy-succ (previous step)

0 ≤ j ⊦ i = i0 + j, r1 = r0, (arraycopy(r1, i1, r0, i0, j, st)[r0 -- i ']) = (arraycopy(r1, i1, r0, i0, j, st[r0 -- (i0 + j) ', st[r1 -- (i1 + j) ']])[r0 -- i '])

User applied rule insert rewrite lemma

And obtained the following new goals

Proof step 7:
⊦ r ≠ r0 ∧ i0 ≤ j0 ∧ j0 < i0 + j → (arraycopy(r, i, r0, i0, j, st)[r0 -- j0 ']) = st[r -- ((j0 - i0) + i) ']
Proof step 12:
¬ (r1 ≠ r0 ∧ i0 ≤ i ∧ i < i0 + j), 0 ≤ j ⊦ i = i0 + j, r1 = r0, (arraycopy(r1, i1, r0, i0, j, st)[r0 -- i ']) = (arraycopy(r1, i1, r0, i0, j, st[r0 -- (i0 + j) ', st[r1 -- (i1 + j) ']])[r0 -- i '])
Proof step 13:
⊦ r ≠ r0 ∧ i0 ≤ j0 ∧ j0 < i0 + j → (arraycopy(r, i, r0, i0, j, st)[r0 -- j0 ']) = st[r -- ((j0 - i0) + i) ']

Rule argument

[crewrite-arg: copy-between , F , [j0, st, j, i0, r0, i, r] → [i, st, j, i0, r0, i1, r1] ]

Additional information

[[CONCRETESIMPRULES : ([CSIMPSEQ : ⊦ i + j = j + i], [CSIMPSEQ : ⊦ i + j + i0 = (i + j) + i0], [CSIMPSEQ : ⊦ i + (j - i0) = i + j - i0], [CSIMPSEQ : ⊦ r ≠ r0 → (st[r0 -- sk0, val][r -- sk]) = st[r -- sk]])], [EXTRATERMS : (i, st, j, i0, r0, i1, r1)]]